Answer: To translate the given sentence into an equation, we can start by replacing the words "five times the sum" with the mathematical expression "5(x + 9)". Then, we can replace the word "number" with the variable y, to get:
5(y + 9) = 3
Next, we can distribute the 5 to obtain:
5y + 45 = 3
Finally, we can subtract 45 from both sides to solve for y:
5y = -42
y = -42/5
y = -8.4
Therefore, the equation that represents the given sentence is y = -8.4.
Step-by-step explanation:
An architect designs a diagonal path across a rectangular patio. The path is 29 meters long. The width of the patio is x meters, and the length of the path is 5 meters more than the width.
Which equation can be used to find the dimensions of the patio?
Answer:
D: c^2 + (x+5)^2 = 841
Step-by-step explanation:
edge :)
determine if each liners function is a direct variation. If it is state the constant of variation.
The liners function are not direct variation
What is a direct variation?The relationship between two variables in which one is a constant multiple of the other is referred to as direct variation.
For instance, two variables are said to be in proportion when one affects the other. b = ka is the equation
If b is directly proportional to a, then k is the constant of variation and the value of k = b/a for all value of b and a
In the problem, the variables are compared as follows
feet = k * sec
k = feet / sec
For the first values, k = 33 / 3 = 11
For the second values, k = 36 / 6 = 6
since 11 ≠ 6 the function is not a direct variation
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For the graphed exponential equation, calculate the average rate of change from x = −3 to x = 0.
A. -1/3
B. -5/8
C. -4/5
D. -7/3
Answer:
D)
Step-by-step explanation:
f(-3) = 2
f(0) = -5
[f(-3) - f(0)] ÷ -3-0
[2-(-5)] / -3
7/-3
The legislature in a state has 50 seats. Apportion these seats to the five counties below using Lowndes' method.
County Population Seats Received
Adams 71,000
Grant 483,000
Colton 224,000
Davis 406,000
Hayes 444,000
Answer: hi
Step-by-step explanation:
To apportion the 50 seats using Lowndes' method, you will need to follow these steps:
Calculate the apportionment ratio for each county by dividing the population of the county by the total population of the state.
Multiply the apportionment ratio for each county by the number of seats to be apportioned. This will give you the initial allocation of seats for each county.
Distribute the remaining seats (if any) to the counties with the largest remainders (the difference between the initial allocation of seats and the whole number of seats). If there are multiple counties with the largest remainders, distribute the seats among these counties based on their remainders.
Here is the apportionment for the five counties using these steps:
County Population Apportionment Ratio Initial Allocation Seats Received
Adams 71,000 0.088 4.4 4
Grant 483,000 0.591 28.9 29
Colton 224,000 0.274 13.7 14
Davis 406,000 0.500 25.0 25
Hayes 444,000 0.547 27.4 27
Total 1,928,000 50 50
So using Lowndes' method, Adams County would receive 4 seats, Grant County would receive 29 seats, Colton County would receive 14 seats, Davis County would receive 25 seats, and Hayes County would receive 27 seats.
Help math ITS EASY IF U LOKE RATIO
You have the right one selected.
The answer is 2:1
To find this take each side of ABC and its corresponding side on DEF, then simplify. You can treat ratios just like fractions, so simplify them in the same way.
20:10 becomes 2:1
12:6 becomes 2:1
16:8 becomes 2:1
What is the value of x?
9514 1404 393
Answer:
54
Step-by-step explanation:
The external angle is half the difference of the subtended arcs.
x° = (136° -28°)/2 = 108°/2
x = 54
Anyone who know what the answer please please faster???!??!
Eva works at a sandwich shop.she works between 10 and 20 hours each week.Last week Eva worked 18 hours and made $144.she wants to know how much she will make for working different number of hours
Answer:
$8/hour
Step-by-step explanation:
For each hour worked, she makes $8/hour (144/18). So depending on how many different hours worked, she will earn $8 x hours worked.
Answer:
$8
Step-by-step explanation:
A restaurant bill before tax is $15.50.
How much is a 18% tip for this bill? Be exact, it's money.
Answer:
$2.79
Step-by-step explanation:
An easy way to figure out percentages is by dividing by 100 then multiplying by the percentage you are trying to figure out.
15.50/100 =0.155, 0.155 times 18 is equal to 2.79.
Evaluate the expression (42 + 2) -5
Answer:
39
Step-by-step explanation:
Solve inside of the parenthesis, then open them and solve.
(42 + 2) - 5
(44) - 5
44 - 5
39
Answer:
39
Step-by-step explanation:
42+2−5
=39
2.2.1. Using the conversion 1 kg = 2.2 pounds (lb),
convert 300g into pounds.
Answer: [tex]0.66\ lb[/tex]
Step-by-step explanation:
Given
1 kg=2.2 Pounds(lb)
We need to convert 300 g into lbs
1 kg=1000 g
So, 300 g is equal to 0.3 kg
Now, convert kg into pounds
[tex]\Rightarrow 0.3\times 2.2\ lb\\\Rightarrow 0.66\ lb[/tex]
FIRST (CORRECT) ANSWER I WILL GIVE BRAINLIEST
Use the formula to find the area of the triangle when b = 8 and h = 12.
Note: The figure is not drawn to scale.
A.
48 square centimeters
B.
96 square centimeters
C.
20 square centimeters
D.
208 square centimeters
5. Which lines are parallel to
8x + 4y = 5? Select all that
apply.
A. y = -2x + 10
B. 16x + 8y = 7
C. y = -2x
D. y - 1 = 2(x + 2)
The variables x and y vary inversely. Use the given values to write an equation relating x and y. Then find y when x = 2.
1. x = -1, y = 29
2. x = 8, y = 11
1) The equation is:
y = -29/x
And when we evaluate in x = 2, we get y = -14.5
2) The equation is:
y = 88/x
And when we evaluate in x = 2, we get y = 44
How to find the equation between x and y?We know that the variables x and y vary inversely, then the equation between these variables will be something like:
y = k/x
Where k is a constant.
1) First we know that when x = -1, y = 29, replacing these values we will get:
29 = k/-1
-1*29 = k
-29 = k
Then the equation is:
y = -29/x
If now we evaluate in x = 2, we will get:
y = -29/2
y = -14.5
2) Now we know that x = 8 and y = 11, replacing these we get:
11 = k/8
11*8 = k
88 = k
So the equation is:
y = 88/x
If now we replace x by 2, we will get:
y = 88/2 = 44
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Find all REAL zeros of f(x) = x3 – 4x2 - 15x + 18
Answer:
Move 18 18 to the left side of the equation by adding it to both sides. x3 ...
What is the vertex of the function?
f(x) = 3(r - 2)2 + 4
Answer:
(2,4)
Step-by-step explanation:
The vertex of a parabola in the form of [tex]y=a(x-h)^2+k[/tex] is [tex](h,k)[/tex]. In this function, we have [tex](2,4)[/tex] as our vertex.
Bob's Gift Shop sold 550 cards for Mother's Day. One salesman, Anand, sold 4% of the cards sold for Mother's Day. How many cards did Anand sell?
22 cards were sold by the Anand.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Bob's Gift Shop sold 550 cards for Mother's Day.
One salesman, Anand, sold 4% of the cards sold for Mother's Day.
We need to find the number of cards sold by Anand
Convert 4% to decimal by dividing 4 by 100
4/100=0.04
Now multiply 0.04 with 550
0.04×550
22
Hence, 22 cards were sold by the Anand.
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HELP ME ON THIS PLEASEEEE!!!
The sum of Jahiem and his sister's age is 21. If Jahiem is 7 years older than his
sister, write and solve a system of equations using ) to represent Jahiem's age and s
to represent his sister's age
Step-by-step explanation:
ANSWER He is 14 and she is 7 because 21 - 7 is 14
Please help me!!! I will try to give brainliest!!!
Step-by-step explanation:
alternate interior angle=2&8
corresponding angle=4&8
linear pair=6&7
vertical angle=1&3
hope it helps.
stay safe healthy and happy.10c. What other sequence of transformations would produce the same final image from the original pre image? Check your answer by performing the transformations Then make a conjecture that generalizes your findings.
The pre-image and picture will become congruent to one another by the following transformations: Reflection, Rotation and Translation
what is a sequence?A sequence is a collection of numerals (referred to as "terms"), for example, 2, 5, 8. A specific pattern that some sequences follow may be leveraged to make them infinitely long. To continue the series, add 3 and use the example of 2,5,8. Formulas that show where to look for words inside a sequence can be found there. Informally, a sequence in mathematics is a collection of items that are in some order (or events). It has components, much like a set (also called elements or terms).
Any of the aforementioned modifications result in an exact replica of the pre-image in the picture. The only thing that has changed about the figure is that it has been moved, rotated, or somehow reflected. The figurine is still the same size and form as before. Isometries are the name for these transformations.
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shia has 6 new boxes of crayons . each box has 8 crayons he also has 7 crayons from an old box how many crayons does he have
The answer is: 55 crayons.
Explanation: He has 6 boxes with 8 crayons in each. 6 times 8 = 48. Plus the seven left from the other box = 48+7= 55 crayons.!!
what is the ratio for sine
Answer:
B the light blue one
Step-by-step explanation:
Answer: the answer is the light blue one
Step-by-step explanation:
4) Find m.
Q
10 cm
15 cm
"R
i really struggle with this stuff. please show work if possible
Answer: QP=11.18cm;
m=Q42*;m<R=48*
Step-by-step explanation:
A theater has 56 rows of seats. If there are 13 seats in the 1st
row, 17 in the 2nd, 21 in the 3rd, and so on, how many total seats
are there in all? Need work
I need someone to explain this step by step. I have a test very soon.
9514 1404 393
Answer:
D. Infinitely many solutions
Step-by-step explanation:
To compare two linear equations, it is handy to have them in the same for. It doesn't really matter what that form is. You generally want to reduce the equations as far as possible by removing any common factors from the coefficients.
Here, we can put both equations into standard form: ax +by = c.
First equation:
y = -3x +5 . . . . given
3x +y = 5 . . . . add 3x
Second equation:
6x +2y = 10 . . . . given
3x + y = 5 . . . . divide by 2
These two equations are now identical. That means they describe the same line, so any (x, y) pair that satisfies one of these equation will also satisfy the other one (obviously). That means there are an infinite number of points these lines have in common, an infinite number of solutions.
__
More about number of solutions
Above is one of the possibilities.
Another possibility is that the left side looks the same, but the right side is different. For example, ...
3x +y = 5
3x +y = 4
The ratios of the coefficients of x and y are the same (a:b = 3:1). That means these lines have the same slope and they are the equations of parallel lines. They do not intersect, so this set of equations will have no solutions.
Another suitable form for comparing the slopes is slope-intercept form. The above two equations in that form would be ...
y = mx + b
y = -3x +5
y = -3x +4 . . . . . . same slope, different y-intercept
__
If the equations are different (except as just noted), there is one solution. Lines with different slopes must cross somewhere. They will cross exactly once.
1. Yes
2.No
3.There is not enough information to say
Answer:
Yes.
Step-by-step explanation:
The triangles are congruent.
The ratio of pens to pencils that Katy has on his desk is 6:5. If Katy has 15 pencils on his desk then how many pens does he have?
Answer:
18
Step-by-step explanation:
Answer:
18 pens
Step-by-step explanation:
6:5 so
5x3=15
6x3=18
Liam sorted music albums in his collection into three genres as shown
Genre
Rock
Country
Holiday
Count
7
3
5
Which statements identify correct ratios for the album collection Select all that apply
The ratio of holiday music albums to the entire collection is 5:10.
The ratio of rock music albums to country music albums is 7 to 3.
The ratio of rock music albums to holiday music albums is 5 to 7
The ratio of country music albums to the entire collection is 1 to 5.
There is 1 holiday music album for every 3 albums in the collection
will give brainliest
A line passes through the points (2,4) and ( - 6,8). Another line passes through the points (2,7) and ( - 2,3). At what point do these lines intersect? Enter your answer in the box
below.
I believe the lines intersect at point (0,5)
What is this number in standard form? 19 thousands, 6 hundreds, 12 tens, 5 ones Your answer
Answer:
19,725
Step-by-step explanation: