Answer:
A.=False
B.=True
C.=False
D.=True
Step-by-step explanation:
The original ration is 2 gallons of water for 4 players.
Each player requires 1/2 gallon of water.
To get the amount of water needed multiply 1/2 by the amount of players.
1*(1/2) does not equal 1
2*(1/2) equals 1
10*(1/2) does not equal 4
30*(1/2) equals 15
What is the sum of 18+516+38 1 8 + 5 16 + 3 8 ?
Answer:
4906 that is the answer. also your welcome and sorry if I misunderstood the question
In 1993, the life expectancy of males in a certain country was 65.2 years. In 1998, it was 67.7 years. Let E represent the
life expectancy in year t and let t represent the number of years since 1993. Determine the linear function E(t) that fits
the data. Use the function to predict the life expectancy of males in 2006.
The predicted Iife expectancy οf maIes in 2006 is 71.7 years.
What is Iinear equatiοn?A Iinear equatiοn is a mathematicaI equatiοn that describes a straight Iine in a twο-dimensiοnaI pIane.
Tο find the Iinear functiοn E(t) that fits the data, we need tο find the equatiοn οf the Iine that passes thrοugh the twο given pοints: (0, 65.2) and (5, 67.7), where t = 0 cοrrespοnds tο the year 1993 and t = 5 cοrrespοnds tο the year 1998.
Using the sIοpe-intercept fοrm οf a Iinear equatiοn, we have:
E(t) = mt + b
where m is the sIοpe οf the Iine and b is the y-intercept.
We can find the sIοpe by using the fοrmuIa:
m = (y2 - y1)/(x2 - x1)
where (x1, y1) = (0, 65.2) and (x2, y2) = (5, 67.7):
m = (67.7 - 65.2)/(5 - 0) = 0.5
Sο the equatiοn οf the Iine is:
E(t) = 0.5t + b
Tο find the y-intercept, we can use οne οf the given pοints. Let's use (0, 65.2):
65.2 = 0.5(0) + b
b = 65.2
Therefοre, the Iinear functiοn E(t) that fits the data is:
E(t) = 0.5t + 65.2
Tο predict the Iife expectancy οf maIes in 2006, we need tο find t when the year is 2006:
t = 2006 - 1993 = 13
Sο we can use t = 13 in the equatiοn:
E(13) = 0.5(13) + 65.2
E(13) = 6.5 + 65.2
E(13) = 71.7
Therefοre, the predicted Iife expectancy οf maIes in 2006 is 71.7 years.
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Marisol draws a rectangle with a length of 12 inches and a width of 6 inches
Area of the rectangle is 72 square inches and the perimeter of the same rectangle is 36 inches by using this parameters Marisol can draw a rectangle.
What is a rectangle?A quadrilateral or four-sided polygon with four right angles (90° angles) and opposite sides that are parallel and the same length is referred to as a rectangle. It is a two-dimensional shape with four vertices and two pairs of parallel sides.
Given that,
the length is 12 inches and width is 6 inches,
So, The Area of rectangle = (Length × Width)
= 12 inches × 6 inches
= 72 square inches
So the area of the rectangle is 72 square inches.
The perimeter of a rectangle is given by adding up the lengths of all four sides.
The Perimeter of rectangle = (2 × length) + (2 × width)
= 2 × 12 inches + 2 × 6 inches
= 24 inches + 12 inches
= 36 inches
So the perimeter of the rectangle is 36 inches.
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In summary, Marisol's rectangle has a length of 12 inches, a width of 6 inches, an area of 72 square inches, and a perimeter of 36 inches.
Sure, I'd be happy to help you with your question! Marisol has drawn a rectangle that has a length of 12 inches and a width of 6 inches. The rectangle is a two-dimensional shape that has four straight sides and four right angles. To calculate the area of the rectangle, we can use the formula:Area = Length x Width.
In this case, the area of the rectangle is 12 inches x 6 inches = 72 square inches. The perimeter of the rectangle is the distance around the outside of the shape, which is calculated by adding the lengths of all four sides. In this case, the perimeter of the rectangle is 2 x (length + width) = 2 x (12 inches + 6 inches) = 2 x 18 inches = 36 inches.
It's important to note that the length and width of the rectangle can be interchanged and the area and perimeter will remain the same.In conclusion, Marisol's rectangle measures 12 inches long, 6 inches wide, 72 square inches in size, and has a circumference of 36 inches.
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Assume that the first term of a sequence is -3. Write the first four terms of the sequence if it is an arithmetic sequence with a common difference of -1/3.
Answer:
The first term of the sequence is -3 and the common difference is -1/3. Therefore, the second term of the sequence can be found by adding the common difference to the first term:
second term = first term + common difference
second term = -3 + (-1/3)
second term = -10/3
Similarly, we can find the third term by adding the common difference to the second term:
third term = second term + common difference
third term = -10/3 + (-1/3)
third term = -11/3
And we can find the fourth term by adding the common difference to the third term:
fourth term = third term + common difference
fourth term = -11/3 + (-1/3)
fourth term = -4
Therefore, the first four terms of the sequence are -3, -10/3, -11/3, and -4.
Professional baseball player Rusty Raspberry earns $1,715,000 a year playing baseball. Last
year, a biography that he had written sold 300,000 copies at a price of $24 each. Raspberry
received 10% in royalties on the book sales. What was his total salary last year from the book
and his baseball career?
Answer:
Rusty Raspberry's total earnings last year would be the sum of his earnings from playing baseball and his earnings from book royalties.
Earnings from playing baseball = $1,715,000
To calculate earnings from book royalties, we need to find out how much Rusty received in royalties for the 300,000 copies sold.
Royalties per book = 10% of $24 = $2.40
Total royalties for 300,000 books = $2.40 x 300,000 = $720,000
Therefore, Rusty Raspberry's earnings from book royalties last year = $720,000
Total earnings = Earnings from playing baseball + Earnings from book royalties
= $1,715,000 + $720,000
= $2,435,000
Therefore, Rusty Raspberry's total salary last year from the book and his baseball career was $2,435,000.
A student has $43 in total to buy books that cost $8.50 each and pens that cost $2.25 each. If
the student buys 4 more pens than books, which inequality represents the possible number of
books, k, the student can buy?
A 8.50k +2.25(k+ 4) ≤ 43
B 8.50k +2.25(k+ 4) < 43
C 10.75k + 4 ≤ 43
D 10.75k + 4 < 43
4
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The student can purchase no more than four books, or k. This can be represented so the correct answer option (A) is 8.50k +2.25(k+ 4) ≤ 43
In what way do numbers depict inequality?Symbol for inequality: Comparing two numbers that are not equal requires the use of an inequality symbol. (>) More Than: The larger number is always on the left when using this symbol, and the smaller number is always on the right.
First, let's define some variables. Let b be the quantity of books the student purchases, and p represent the quantity of pens. Since the student purchases four more pens than books, the total cost of the purchase is $43, and we know that p = b + four. This can be expressed as an equation:
8.50b + 2.25p = 43
By replacing p = b + 4, we obtain:
8.50b + 2.25(b + 4) = 43
If we simplify, we get:
10.75b + 9 = 43
9 is subtracted from either side, resulting in:
10.75b = 34
By multiplying both sides by 10.75, we obtain:
b ≈ 3.16
The student may purchase either 3 or 4 books because the total number of books must be a whole number. Let's use the initial equation to verify these values:
If the student purchases three books, then p = 3 + 4 = seven pens are needed. 8.50(3) + 2.25(7) = 38.25, or less than $43, is the total price.
If the student purchases four books, then p = four plus four equals eight pens. 8.50(4) + 2.25(8) = 43, or precisely $43, is the total price
As a result, the student can purchase no more than four books, or k. This can be represented as:
8.50k + 2.25(k + 4) ≤ 43
Answer (A) is the right selection.
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Marissa has a savings account with $350 in it that earns 3.9% simple interest per year How much interest, to the nearest penny, will Marissa earn in 8 years?
Answer:
To calculate the amount of interest Marissa will earn in 8 years on her savings account, we can use the formula for simple interest:
I = P * r * t
where:
I = interest earned
P = principal (initial amount in the account)
r = interest rate per year (as a decimal)
t = time period (in years)
Plugging in the given values, we get:
I = $350 * 0.039 * 8
I = $109.20
Therefore, Marissa will earn $109.20 in interest over 8 years.
Can you solve this question?
find dy/dx=?
We may conclude after answering the presented question that derivatives Therefore, the derivative of y = ln(cos(x)) with respect to x is: dy/dx = -tan(x)
what is derivative?In mathematics, the derivative of a function with real variables measures how sensitively the function's value varies in reaction to changes in its parameters. Derivatives are the fundamental tools of calculus. Differentiation (the rate of change of a function with respect to a variable in mathematics) (in mathematics, the rate of change of a function with respect to a variable). The use of derivatives is essential in the solution of calculus and differential equation problems. The definition of "derivative" or "taking a derivative" in calculus is finding the "slope" of a certain function. Because it is frequently the slope of a straight line, it should be enclosed in quotation marks. Derivatives are rate of change metrics that apply to almost any function.
To find dy/dx when y = ln(cos(x)), we'll need to use the chain rule and the derivative of the natural logarithm.
[tex]dy/dx = (dy/du) * (du/dx)\\d/dx [ln(u)] = 1/u * du/dx\\dy/du = 1/u = 1/cos(x)\\dy/dx = (dy/du) * (du/dx) = (1/cos(x)) * (-sin(x)) = -tan(x)\\[/tex]
Therefore, the derivative of y = ln(cos(x)) with respect to x is:
dy/dx = -tan(x)
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Alan is going to sell eggs to a local market. Unfortunately, he dropped the box with the eggs and broke them all. He needs to figure out how many eggs he broke, but he forgot the exact number. This is what he does remember:
When he put all his eggs in groups of 2, one egg was left over.
When he put all his eggs in groups of 3, one egg was left over.
When he put all his eggs in groups of 4, one egg was left over.
When he put all his eggs in groups of 5, no eggs were left over.
How many eggs did he have before he broke them? Is there more than one answer? How do you know?
This is for extra credit and i need them. :) PLEASE
Step-by-step explanation:
It is an ODD number due to statement 1
it is a multiple of 5 due to the last statement
5 15 25 35 45 55 65 75 85 95 105 .....
When you divide by 3 there is a R 1
25 55 85 115 145
When you divide by 4 there is a R = 1
25 is the lowest number next possible number is 145 then another posssible is 265 etc
Read the image it has the problem
Answer:$59.66
Step-by-step explanation:
h (x) = (3x - 4) (x + 2)^2 (x - 5)
• (2, 0)
• (-3/4, 0)
• (4/3, 0)
• (5, 0)
The zeros of the function H(x) = (3x - 4)(x + 2)^2(x - 5) are (4/3, 0), (-2, 0), and (5, 0).
Calculating the zeros of the polynomial functionTo find the zeros of the function H(x), we need to find the values of x that make the function equal to zero.
H(x) = (3x - 4)(x + 2)^2(x - 5)
Setting H(x) equal to zero, we have:
(3x - 4)(x + 2)^2(x - 5) = 0
Using the zero product property, we can see that H(x) will be equal to zero when any of the factors are equal to zero.
So, the zeros of the function H(x) are:
3x - 4 = 0, which gives x = 4/3
x + 2 = 0, which gives x = -2
x - 5 = 0, which gives x = 5
Therefore, the zeros of the function H(x) are (4/3, 0), (-2, 0), and (5, 0).
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A problem asks to find the unknown side lengths and angle measures of a triangle with mZA = 130°, a = 54, and b = 59. Eva states that there are two possible triangles because h < a < b. Is Eva correct? Explain your reasoning.
If Eva is not correct, state how many possible triangles there are.
Answer:
Step-by-step explanation:
Eva is not correct. There is only one possible triangle that can be formed with the given information. This is because in a triangle, the length of any side must be less than the sum of the lengths of the other two sides.
Using the Law of Cosines, we can find the length of the unknown side, c:
c^2 = a^2 + b^2 - 2ab cos(ZA)
c^2 = 54^2 + 59^2 - 2(54)(59) cos(130°)
c ≈ 31.28
Since h < a < b, we know that h < 54 < 59. Therefore, the length of side c must be between 5 and 113 (59 - 54 and 59 + 54). Since c = 31.28 is between 5 and 113, it satisfies the triangle inequality and a triangle can be formed.
To find the measures of the other angles, we can use the Law of Sines:
sin(A)/a = sin(ZA)/c
sin(A) = (a/c)sin(ZA)
sin(A) = (54/31.28)sin(130°)
sin(A) ≈ 0.879
A ≈ 62.6°
Similarly,
sin(B)/b = sin(ZA)/c
sin(B) = (b/c)sin(ZA)
sin(B) = (59/31.28)sin(130°)
sin(B) ≈ 0.841
B ≈ 56.2°
Therefore, the measures of the three angles are approximately 62.6°, 56.2°, and 61.2°, and there is only one possible triangle that can be formed with these side lengths and angle measures.
Parts of similar triangles
Find x
The value of x in the triangle is 16.
Triangle – what is it?The trigon, a 3-sided polygon, is sometimes (though not often) referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
Due to the similarity between the triangles ABC and ADE, we may establish the following ratio:
BC/DE = AB/AD
Inputting the values provided yields:
8/x = 12/24
When the right-hand side of the equation is simplified, we obtain:
12/24 = 1/2
Adding this value to the proportion results in:
8/x = 1/2
If we cross-multiply, we obtain:
2*8 = x
The left side of the equation can be simplified to: 16 = x.
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Someone help me please!!!
Each interior angles of the rectangle QUAD is equal to 90°, and the angles ∠2 and ∠5 are complementary, so the value of x = 4.
How to calculate the variable x for angles of the rectangle.The angles ∠2 and ∠5 form one of the interior angles of a rectangle, hence they are complementary as they add up to 90°.
we shall solve for x as follows:
x + 30 + 2x - 48 = 90
3x + 78 = 90
3x = 90 - 78 {subtract 78 from both sides}
3x = 12
x = 12/3 {divide through by 3}
x = 4
In conclusion, each interior angles of the rectangle QUAD is equal to 90°, and the angles ∠2 and ∠5 are complementary, so the value of x = 4.
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Im stuck on these questions I need help
Answer:
Step-by-step explanation:
modal weight: the weight that appear most often
4.5 kg appears 3 times
6-sided polygon: even though it is an irregular polygon, the interior angles still add up to (6 - 2)180 = 720
therefore, angle f = 720 - 576 = 144 (the sum of a+b+c+d+e is very blurry in the image, it looks like 576--please double check that!)
modal score: read this right off the graph. The score with the highest frequency is the modal score: 14 (meaning, 9 contestants got this score)
Zoe is 16 years old. Her brother, Luke, is 3 years more than half her age. Write a numerical expression for Luke’s age. Show your work.
Answer:
; Simplified =
Let "Zoe" = z
Let "Luke" = x
x = 16/2 + 3 is your equation
You're expression is
~
Step-by-step explanation:
i hope it's helpful for you
What will be the result of substituting 2 for x in both expressions below?
Substituting for x in an expression means replacing the variable x with a specific value or expression. This is often done to evaluate the expression for that particular value or to simplify the expression.
What is the substituting for x in expressions?Substituting 2 for x in the first expression, we get:
[tex]1/2(2) + 4(2) + 6 - 1/2(2) - 2 = 1 + 8 + 6 - 1 - 2 = 12[/tex]
Substituting 2 for x in the second expression, we get:
[tex]2(2) + 2 - 1 = 5[/tex]
One expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent.
Therefore, the first expression evaluated with x = 2 is 12, and the second expression evaluated with x = 2 is 5. Since they do not have the same value, the correct option is:
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The given question is incomplete. The complete question is given below:
What will be the result of substituting 2 for x in both expressions below? One-half x + 4 x + 6 minus one-half x minus 2 Both expressions equal 5 when substituting 2 for x because the expressions are equivalent. Both expressions equal 6 when substituting 2 for x because the expressions are equivalent. One expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent. One expression equals 6 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent.
Roland’s family drove 4 and 6/10 km from their home they home to the gas what is the maximum number of days that Carl can feed his dog exactly 2 and 1/2 cups of dog food from one full bag
According to the question 560 cups divided by 20 cups per week equals 28 weeks.
What is divided?Division is a mathematical operation that involves splitting a number or quantity into equal parts. It is an essential process in mathematics, used to solve problems and find solutions. Division involves dividing a number, or a set of numbers, by another number. The result of the division is known as the quotient. Division can also be used to find fractions or ratios, as well as to divide a number into its parts.
Assuming the bag of dog food is a large bag and Carl is feeding his dog 2 1/2 cups daily, the maximum number of days Carl can feed his dog from one full bag is 28.
This is because 2 1/2 cups equals 20 cups per week, and a large bag typically contains approximately 560 cups.
Therefore, 560 cups divided by 20 cups per week equals 28 weeks.
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The entire number of kilometres driven by Roland's family can be determined by using the phrase [tex]=\frac{69}{10}[/tex]
How to calculate Distance?To determine the total number of kilometres driven by Roland's family, the distance from their home to the gas station and the distance from the gas station to the shop must be added.
There are [tex]4\times \frac{6}{10}[/tex] kilometres between their home and the gas station, which can also be stated incorrectly as follows:
[tex]4\times \frac{6}{10}=\frac{(4\times 10+6)}{10} \\\\=\frac{46}{10}[/tex]
The formula for expressing the distance between the gas stop and the store is 2 30/100 kilometers, which can be written as follows:
[tex]2\times\frac{30}{100} =\frac{(2\times100+30)}{100} \\\\=\frac{230}{100}[/tex]
To calculate the overall distance traveled, we add the two distances:
[tex]\frac{46}{10} +\frac{230}{100}[/tex]
To combine these fractions, we need to find a common denominator. Only one unique digit, 100, can be used to divide both 10 and 100. In light
of this, we can rewrite the equation as follows using 100 as the common denominator:
[tex](\frac{46}{10} )\times (\frac{10}{10} )+(\frac{230}{100} )\times (\frac{1}{1} )[/tex]
That amounts to:
[tex]\frac{46}{100} +\frac{230}{100} =\frac{690}{100}[/tex]
Therefore, we can reduce this fraction by multiplying the numerator and denominator by their ten largest common factor:
[tex]\frac{690}{100} =\frac{(69/10)}{(100/10)} \\\\=\frac{69}{10}[/tex]
Consequently, the phrase that follows may be used to determine the overall number of kilometres driven by Roland's family:
[tex]2\times\frac{30}{100} +4\times \frac{6}{10} =\frac{69}{10}\ km[/tex]
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Rest of the question is,
They drove 2 30/100 kilometers from the gas station to the store. Which expression can be used to determine the number of kilometer Ronald's family drove altogether.
write the point-slope from the equation of the line with slope -7/4 that passes through the point (-9,2)
Answer:
y - 2 = - [tex]\frac{7}{4}[/tex] (x + 9)
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
here m = - [tex]\frac{7}{4}[/tex] and (a, b ) = (- 9, 2 ) , then
y - 2 = - [tex]\frac{7}{4}[/tex] (x - (- 9) ) , that is
y - 2 = - [tex]\frac{7}{4}[/tex] (x + 9)
The quotient of b and 5 is less than 30.
We can write this statement as an inequality:
b/5 < 30
This inequality means that the result of dividing b by 5 is less than 30. To find the possible values of b that satisfy this inequality, we can multiply both sides by 5:
b < 5*30
Simplifying:
b < 150
Therefore, any value of b that is less than 150 will satisfy the inequality "The quotient of b and 5 is less than 30."
Answer:
Step-by-step explanation:
For this equation we will have to make an inequality. When we take a look at the first part of the problem it mentions the quotient of b and 5. If we were to write this it would be b÷5. Looking at the second part of the equation it say b÷5 is less than 30. Hence our answer would be b÷5 < 30. Hope this helps!
12000 x 5 = 9500 + 9500 + 10000 + x + y
Answer:
31000 - y = x
Step-by-step explanation:
Solve for x
[tex]12000\times5=9500+9500+10000+x+y[/tex]
Add and multiply the integers
[tex]60000=29000+x+y[/tex]
Subtract 29000 on both sides
[tex]31000=x+y[/tex]
Subtract y on both sides
[tex]31000-y=x[/tex]
ALGEBRA 1 HW!! I WILL GIVE BRAINLYEST
A) The completed table is given as follows:
L D(L)
0 0
3 1
4 1
6.5 2
10 2
11.9 2
15 3
B) the graph is attached accordingly.
C) In the context of the given problem, to store 43 liters of coffee, she needs at least 8 dispensers, as given by the function D(L).
What is the explanation for the above response?a) To complete the table, we need to use the given function D(L) to determine the number of beverage dispensers needed to hold different amounts of coffee.
We know that each beverage dispenser can hold 6 liters of coffee, so we can start by dividing the amount of coffee needed by 6 and rounding up to the nearest integer to get the number of dispensers needed.
D(L) = ceil(L/6)
Using this formula, we can complete the table as follows:
L D(L)
0 0
3 1
4 1
6.5 2
10 2
11.9 2
15 3
Note that for L=0, we don't need any dispensers, so the value of D(L) is 0. For all other values of L, we divide by 6 and round up to get the corresponding value of D(L).
b) The graph is attached.
c) In the context of the given problem, the function D(L) gives the minimum number of beverage dispensers needed to hold L liters of coffee, assuming each dispenser can hold 6 liters.
So, D(43) = 8 means that if Giada needs to brew and store 43 liters of coffee, she will need at least 8 beverage dispensers. Each dispenser can hold 6 liters, so the first 7 dispensers will be completely filled, and the last dispenser will be partially filled with the remaining coffee.
In other words, if Giada fills 7 dispensers completely, she will have used 42 liters of coffee, and the remaining 1 liter of coffee will be stored in the 8th dispenser. Therefore, to store 43 liters of coffee, she needs at least 8 dispensers, as given by the function D(L).
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Limt x tend to π 1-sinx/2(π-x) ²
The value of the limit of the expression Limit x tend to π 1-sinx/2(π-x) ² is infinity (∝)
How to evaluate the limit of the expressionGiven that
Limit x tend to π 1-sinx/2(π-x) ²
To solve this expression, we make use of
If limit of x to a+ of f(x) = limit of x to a- = L, then limit of x to a+ of f(x) = L
The interpretation is that we solve the expression by direct substitution
So, we have
Limit = 1 - sin(π)/2(π - π) ²
Evaluate the difference
Limit = 1 - sin(π)/2(0)²
Evaluate the exponent and the bracket
Limit = 1 - sin(π)/0
Divide
Limit = ∝
Hence, the limit of the expression is ∝
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A rental car company rents a compact car for $10 a day plus $0.50 per mile. A midsized car rents for $25 a day plus $0.30 per mile. Let C represent the total cost for a day and let M represent the number of miles
Show your full work
Compact car: C = 0.60m +10
Midsized car: C = 0.40m +22
Find the number of miles at which the cost to rent either car would be the same.
Number of miles:
Cost:
Answer:
Step-by-step explanation:
To find the number of miles at which the cost to rent either car would be the same, we can set the two cost equations equal to each other and solve for m:
0.60m + 10 = 0.40m + 22
0.20m = 12
m = 60
So, the number of miles at which the cost to rent either car would be the same is 60 miles.
To find the cost at this mileage, we can plug m = 60 into either of the cost equations:
For the compact car:
C = 0.60(60) + 10 = 46
For the midsized car:
C = 0.40(60) + 22 = 46
So, at 60 miles, the cost to rent either car would be $46.
A number added to twice another number is-8. The sum of the two numbers is-2. What is the lesser of these two numbers?
Answer:
-6
Step-by-step explanation:
a + 2b = -8 Eq. 1
a + b = -2 Eq. 2
From Eq. 1:
a = -8 -2b Eq. 3
From Eq. 2:
a = -2 -b Eq. 4
Equalizing Eq. 3 & Eq. 4:
-8 -2b = -2 -b
-2b + b = -2 + 8
-b = 6
b = -6
From Eq. 4
a = -2 - (-6)
a = -2 + 6
a = 4
Check:
From Eq. 1:
a + 2b = -8
4 + 2*-6 = -8
4 - 12 = -8
Answer:
-6<4
Then;
The lesser number is:
-6
Cuántos meses son 44 semanas
Answer:
alrededor de 10 meses
Step-by-step explanation:
haya tres enteros pares consecutivos tales que 6 veces el primer entero sean 10 más que la suma del segundo y el tercero
So the three integers are 4, 6, and 8 such that 6 times the first integer is 10 more than the sum of the second and the third integers.
What is integer?An integer is a whole number that does not have any fractional or decimal parts. Integers include positive numbers (1, 2, 3, etc.), negative numbers (-1, -2, -3, etc.), and zero (0).
Here,
Let's call the first even integer x. Since the three integers are consecutive even integers, the second and third integers are x + 2 and x + 4, respectively.
From the problem statement, we know that:
6x = (x + 2) + (x + 4) + 10
Simplifying the right side of the equation:
6x = 2x + 16
Subtracting 2x from both sides:
4x = 16
Dividing both sides by 4:
x = 4
Therefore, the three consecutive even integers are:
x = 4
x + 2 = 6
x + 4 = 8
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Complete question:
"There are three consecutive even integers such that 6 times the first integer is 10 more than the sum of the second and the third integers." find the integers.
72 inches = ______ feet 6 feet 144 feet 864 feet 5 feet
Step-by-step explanation:
72 inches = 6 feet
There are 12 inches in a foot, so to convert inches to feet, you divide the number of inches by 12.
72 inches / 12 inches/foot = 6 feet
HELP PLEASE!!!!
What is.........
2+77+2+4+18+9/4+5+23+78+33-76-4+12=???????????????????
Answer:
We can solve this expression using the order of operations, also known as PEMDAS:
2 + 77 + 2 + 4 + 18 + (9/4) + 5 + 23 + 78 + 33 - 76 - 4 + 12
First, we can simplify the fraction by adding the whole number and fraction parts:
2 + 77 + 2 + 4 + 18 + 2.25 + 5 + 23 + 78 + 33 - 76 - 4 + 12
Next, we can perform addition and subtraction from left to right:
= 187 + 2.25 + 68
= 257.25
Therefore, the value of the expression 2+77+2+4+18+9/4+5+23+78+33-76-4+12 is 257.25.
LOL the answer is 176.25
1111111111111111111111111111 friends?
Answer:
[tex]k = - 3[/tex]
Step-by-step explanation:
[tex]y = kx[/tex]
[tex]k \times ( - 1) = 3[/tex]
[tex] - k = 3[/tex]
[tex]k = - 3[/tex]
Answer:
[tex]k = -3[/tex]
Step-by-step explanation:
Step 1: Substitute
To solve this problem you are going to need to substitute the values of y and x into the problem y=kx. Which would give you the problem of 3=-1k or 3 = -k to make things easier.
Step 2: Using properties of equality
In order to isolate the value of k you would need to divide both sides by -1 because division cancels out multiplication. You would get [tex]\frac{3}{-1} = \frac{-k}{-1}[/tex] or [tex]-3 = k[/tex]
Step 3: Check
In order to check this problem you would need to insert the values back into the original equation and solve. So that would be 3= -1*-3 which does equal 3. So the answer is correct