Inequalities represent Susan's weekly goal of earning money are:
c + e ≤ 20
15c + 10e ≥ 240
What is an inequality?The term "inequality" in mathematics refers to a connection between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus. The majority of the time, size comparisons between two numbers on the number line are made.
The most notable instances of social inequality include those related to health care, social class, gender inequality, and wealth disparity. Comparatively speaking, some people in the healthcare system receive better and more skilled care. For these services, they are also likely to pay more.
Given that,
Susan earns $10 per hour tutoring elementary students in math.
She also earns $15 per hour cleaning in the library.
Her goal each week is to earn at least $240 while working not more than 20 hours.
Thus, the equation of inequality:
c + e ≤ 20
15c + 10e ≥ 240
Here, e represent the number of hours Susan works in one week tutoring elementary students.
c represent the number of hours Susan works in one week cleaning the library.
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I WILL MARK BRAINLYEST AND 40 POINTS
Describe a meal that you could put together that provides 4 servings of both a main course and a side dish. Explain how you know that it will not exceed the weight limit of the box
The total number of servings of chicken the food bank can provide is 70 servings.
What is per unit?Per-unit is a technique of expressing a quantity's value in terms of a base or reference quantity. Each system variable or quantity in a per-unit system is normalized in relation to its own base value.
Two chickens make up the main course of a plate of food, according to the table's content. Each chicken served by the food bank weighs 12.6 ounces. 110.9 pounds of chicken are available at the food bank (1,774.4 ounces of chicken)
Thus,
The mass of chicken per serving = 2 × 12.6 = 25.2 oz/serving
The total number of servings of chicken the food bank can provide = (The quantity of chicken the food bank has)/(The mass of chicken per serving)
∴ The total number of servings of chicken the food bank can provide = (1,774.4 oz)/(25.2 oz/serving) ≈ 70.413
Given that the servings are in whole numbers, we have;
therefore, To the nearest whole number, the food bank can offer a maximum of 70 servings of chicken.
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Select all the pairs of operations that have inverse relationships.
The pair of operations having an inverse relationship are,
Addition and Subtraction, Division and Multiplication.
What are additive and multiplicative inverses?A number's additive inverse is a number that is added to it until the result is zero.
A number multiplied by another such that the result is 1 is the multiplicative inverse of that number.
Addition and subtraction are inverse operations of each other.
Suppose we have 5 and we add 3 to it we get 8.
Now, Subtracting 3 from 8 would result in 5.
Multiplication and division are inverse operations of each other.
Suppose we have 10 and we multiply 2 to it we get 20, Now if we divide 20 by 2 we get back 10 again.
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Which shows that the set of irrational numbers under addition is not closed?
3+3
π + π
π +3
3π + (−3π)
The option that shows that the set of irrational numbers under addition is not closed is B. π + π.
What is an irrational number?All real numbers that are not rational numbers are referred to as irrational numbers in mathematics. In other words, it is impossible to express an irrational number as the ratio of two integers. The collection of real numbers known as irrational numbers, where p and q are integers, are those that cannot be expressed as fractions, such as p/q.
The example of "π + π" shows that the set of irrational numbers under addition is not closed, because the result of adding two irrational numbers (π + π) is an irrational number (2π) which is not included in the set of irrational numbers.
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the image below is the one you need to solve
Option c: y = -x + 5 represents scatter plot 1, Option g: The relationship is not linear represents scatter plot 2, Option a: y = 3x represents scatter plot 3, and Option f: y = x + 3 represents scatter plot 4.
What is a scatter plot?
The graphs that show the association between two variables in a data set are called scatter plots. It displays data points either on a Cartesian system or a two-dimensional plane.
The given equations are -
a. y = 3x
b. y = 4x - 2
c. y = -x + 5
d. y = -5x
e. y = -2x - 4
f. y = x + 3
g. The relationship is not linear.
The first scatter plot is going from positive y-axis to positive x-axis in a linear form. The graph for the equation that goes from positive y-axis to positive x-axis is y = -x + 5.
The second scatter plot is a curved parabola going and not a linear plot. So, the scatter plot is said to be a non-linear scatter plot.
The third scatter plot is going from positive x-axis to infinity in a linear form. The graph for the equation that goes from x-axis to infinity is y = 3x.
The fourth scatter plot is going from positive y-axis to infinity in a linear form. The graph for the equation that goes from positive y-axis to infinity is y = x + 3.
Therefore, scatter plot 1 is represented by equation y = -x + 5, scatter plot 2 is not linear, scatter plot 3 is represented by equation y = 3x and scatter plot 4 is represented by equation y = x + 3.
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A triangle has a height that is 4 inches shorter than its base. If its area is 30 square inches, find the base and height
Answer:
120
Step-by-step explanation:
you are multiping you are trying to get the number of the base
LAST QUESTION....
6. Which cylinder do you think has the greater volume?
Cylinder A: radius 1 m and height 2 m, or
Cylinder B: radius 2 m and height 1 m. Explain.
Answer:
it should be cylander b
Step-by-step explanation:
the formula for volume is πr^2(h) and the number being squared would need to be bigger for a greater volume.
Why is it called logarithmic function?
A logarithm is the inverse operation of exponentiation, that is to say, log(a^b) = b, where log is logarithm, a is the base and b is the exponent.
A logarithmic function is called such because it relates the logarithm of a number to the number itself.
In other words, it is a function that expresses the value of the logarithm for a given number. This function is represented by the notation y = logb(x) where y is the logarithm, b is the base, and x is the number.
The logarithmic function is used to solve exponential equations, it is also useful in many fields such as mathematics, physics, engineering, and finance.
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In baseball, each time a player attempts to hit the ball, it is recorded. the ratio of hits compared to total attempts is their batting average. each player on the team wants to have the highest batting average to help their team the most. for the season so far, jana has hit the ball 7 times out of 10 attempts. tasha has hit the ball 10 times out of 16 attempts. which player has a ratio that means they have a better batting average? tasha, because she has the lowest ratio since 0.7 < 0.625 tasha, because she has the highest ratio since 56 over 80 is greater than 50 over 80 jana, because she has the highest ratio since 56 over 80 is greater than 50 over 80 jana, because she has the lowest ratio since 0.7 < 0.625
Answer: i need your help, XD
Step-by-step explanation:
In a mathematics class, half of the students scored 52 on an achievement test. With the exception
of a few students who scored 76, the remaining students scored 57. Which of the following
statements is true about the distribution of scores?
A. The mean is less than the median.
B. The mean is less than the mode.
C. The mean and the median are the same.
D. The mean is greater than the median.
Answer:
C. The mean and the median are the same.
10. The sum of three consecutive odd numbers is 69. Find the numbers of P is the largest
number
Answer:
The numbers would be 21,23 and 25.
The largest is 25. (If this is what you are asking)
Step-by-step explanation:
The question stated that 3 consecutive odd numbers made up that 69.
Therefore, you can divide the 69 by 3 to determine the range of these numbers.
69/3= 33. So we know the range is 30-35-39 (These are the numbers youd look at to see which consecutive numbers adds up to the 69)
Reason why you divide:
For example, you wouldnt be able to use a number in its 30s or 10s because itd be too high or too low.
Hope it helps.
What is the y-intercept of the line?
b=?
Answer:
2
Step-by-step explanation:
look at where it intersects the line that goes straight up
There are 5 strikers and 10 defenders in a football squad of 44. One player is chosen at random. What is the probability a striker is chosen?
Answer:
12 percent chance
Step-by-step explanation:
Nelson wants to buy gifts for Thanksgiving. Hs bought three roses for $1.99 each, three bows for $0.99 each, and three vases for $7.99 each. Write an equation for his total cost for the gifts. Someone help please
The equation can be written using the arithmetic operation and the cost is
$32.91.
What are arithmetic operations?The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.
The cost for each roses, bows and vases are given as $1.99, $0.99 and $7.99 respectively.
Then, the equation for the total cost is as below,
⇒ 3 × 1.99 + 3 × 0.99 + 3 × 7.99 = 32.91
Hence, the equation for the cost is given in the answer part and the cost is $32.91.
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What is One-third divided by one-fourth?
A fraction bar. The top bar is labeled 1. 3 bars underneath the bar are labeled one-third. 4 bars underneath the 3 bars are labeled one-fourth. 12 bars underneath the 4 bars are labeled StartFraction 1 Over 12 EndFraction.
Three-fourths
1 and StartFraction 1 Over 12 EndFraction
1 and one-fourth
1 and one-third
Answer:
111
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
find the values of x, z and y
The values of x is 82° , z is 98°and y is 69°. in the given triangle.
Is the sum of all triangle angles always 180 degrees?Because one outside angle of a triangle is equal to the total of the other two angles in the triangle, the angles of a triangle add up to 180 degrees. In other words, the third angle must join with the other two angles in the triangle to generate a 180-degree angle (the two angles that add up to form the outside angle).
we know that the sum of angle of triangle = 180
so,
x+ 60 +38=180
x=180-8
x=82°
and also
x+z = 180
z= 98°
for value of y
13 + 98 +y = 180
y= 69°
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Find the value of x.
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
The triangles are similar so
x + 46 + 78 = 180
x = 56°
PLEASE HELP
Which of the following will form the composite function G(Ax)) shown
below?
GAx)) = (x + 1)3 - 6
O A. Ax) = x+1 and G(x) = x3 - 6
B. Ax) = (x + 1)2 and G(x) = -6
O c. Ax) = x - 6 and G(x) = (x + 1)3
D. Ax) = x3 - 6 and G(x) = x + 1
Answer:
A
Step-by-step explanation:
check the above attachment to verify the answer.
Find the mean, median and standard deviation of the
following numbers. Which of the mean and median will give
the best average?
11, 12, 14, 16, 17, 17, 18
Answer:
the mean is 15
median is 16
best average would be mean since its all added together and divided by #
Step-by-step explanation:
to find mean add all numbers and divide by amount of numbers
median is middle number.
Witch of the following options have the same value as 75% of 96 ?
Answer:
[tex]75\% \: of \: 96 \\ = \frac{75}{100 } \times \frac{96}{1} \\ = \frac{3}{4} \times \frac{96}{1} \\ = 24 \times 3 \\ = 72[/tex]
solve for x. each figure is a parallelogram
9) x = 6
10) x = 1
11) x = 0
12) x = 6
This can be solved from the property of parallelogram.
What is parallelogram?A unique variety of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.
Parallelograms come in 4 different varieties, including 3 unique varieties. The four varieties are rhombuses, parallelograms, squares, and rectangles.
Properties are:
The opposing sides are equally spaced and parallel.Angles on either side are equal.The angles that are consecutive or contiguous are supplementary.All of the angles will be at right angles if any one of them is a right angle.The two diagonals cut across one another.9) As we know, from the property of parallelogram,
SR = TQ and ST = RQ
Now, 4 + 2x = 3x - 2
or, x = 6
10) As we know, from the property of parallelogram,
EF = DC and ED = FC
17x + 1 = 18x
or, x = 1
11) As we know, from the property of parallelogram,
YZ = XW and YX = ZW
2x + 9 = 9
2x = 0
x = 0
12) As we know, from the property of parallelogram,
TU = SV and TS = UV
6 + 2x = 4x - 6
or, 2x = 12
or, x = 6
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please help.
on a sunny day, bill wants to find the height of a tree. he walks 25 feet along the shadow that the tree casts until his shadow ends at the same point as the trees shadow. bill is 6 feet tall and the length of his shadow is 9 feet. how many inches tall is the tree? find x first then multiply by 12 to get inches.
This probability distribution shows the typical grade distribution for a Geometry course with 35 students . A B С DF Grade Frequency 5 10153 2 Find the probability that a student earns a grade of B. p=[?]
Answer:
[tex]p=0.29[/tex]
Step-by-step explanation:
[tex]Total ~ of ~students=35[/tex]
[tex]Probability =10/35=0.29[/tex]
----------------------------
hope it helps....
have a great day!!
Answer:
p=0.29
Step-by-step explanation:
hope it helps...
There is something wrong with the reason. I don’t know what it is. Could someone help me. The picture of the figure is on the next post.
9514 1404 393
Answer:
CPCTC
Step-by-step explanation:
The applicable reason for statement 4 is "Corresponding Parts of Congruent Triangles are Congruent (CPCTC)".
The reason shown in your problem statement is applicable only within one triangle. The segments of interest are in two different triangles.
(pesos and Php are philippine coins and money so just imagine pesos as coins if u arent filipino)
It has been Cheri's habit to collect 5 peso and 10 peso coins starting january of every year, to save up for her family's annual outreach to a local community at the end of the year. At the end of the year, she has saved a total of Php 2285 . If she has 11 more 10 pesos than 5 peso coins, how many coins of each does she have
Cheri collected 145 number of 5 peso coin and 156 number of 10 peso coin during her family's annual outreach
What is an equation?An equation is used to show the relationship between numbers and variables.
Let x represent the number of 5 peso coins and y represent the number of 10 peso coin
At the end of the year, she has saved a total of Php 2285, hence:
5x + 10y = 2285 (1)
Also, she has 11 more 10 pesos than 5 peso coins, hence:
y = x + 11 (2)
Solving both equations using elimination method gives:
x = 145, y = 156
Cheri had 145 number of 5 peso coin and 156 number of 10 peso coin.
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Why is the longest side of a triangle always opposite the largest angle?
The longest side of a triangle is always opposite to the largest angle because the endpoints of the lines on either side are going to be further apart if the angle is wider .
What is Triangle ?
The triangle can defined as a three-sided polygon that consists of three edges and three vertices.
Let the angle opens up to its opposite side.
So , the larger the angle, the wider will be it's opening. which means that the endpoints of lines on either side of the angle are going to be further apart if angle is wider.
If the endpoints are further apart, then the line connecting them, which makes up the side opposite will be going to be more longer.
So , the longest side will always be opposite to the largest angle
Similarly , the smallest angle will result in shortest side opposite side for the same reasons.
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What do we call a decimal that does not terminate?
Answer:
Irrational number
Step-by-step explanation:
A pair of 8-sided dice have sides numbered 1 through 8. Each side has the same probability (chance) of landing face up. What is the probability that the product of the two numbers on the sides that land face-up exceeds 36
5/32 of the time, the product of the two numbers on the face-up sides will be greater than 36.
What is meant by probability?The likelihood of an event happening is gauged by probability. Many things are impossible to completely predict in advance. Using it, we can only make predictions about how probable an event is to happen, or its chance of happening.
There are 64 possible options to look at (8 x 8).
If one die is a 1, then no combinations will be possible, even if the other die is an 8.
If one dice is a 2, then no combinations will be possible, even if the other die is an 8.
If one dice is a 3, then no combinations will be possible, even if the other die is an 8.
If one die is a 4, then no combinations will be possible, even if the other die is an 8.
If one die is a 5, the second die must be an 8 for the result to be more than 36. So, (5, 8) is effective.
If one die is a 6, the second die must be a 7 or an 8 to produce a result greater than 36. Therefore, both (6, 7) and (6, 8) are valid.
If one die is a 7, the other die can be a 6, 7, or 8 to get a result that is more than 36. As a result, (7, 6), (7, 7) and (7, 8) all function.
If one die is an 8, the other die can be a 5, 6, 7, or 8 to get a result that is more than 36. Therefore, (8, 5), (8,6), (8,7), and (8,8) are valid.
Out of a total of 64 possible combinations, there are a total of 1 + 2 + 3 + 4 = 10 that are successful.
As a result, the response is 5/32 because 10/64 = 5/32.
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Evaluate the expression 2^x- x^22
x
−x
2
2, start superscript, x, end superscript, minus, x, squared for x=5x=5
The evaluation of the expression 2ˣ - x² when x = 5 is 7
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
Expression: 2^x- x^2
Value x = 5
Rewrite the expression as
Expression: 2ˣ - x²
Substitute the known values in the above equation, so, we have the following representation
2ˣ - x² = 2⁵ - 5²
When the exponents are evaluated. we have
2ˣ - x² = 32 - 25
Evaluate the like terms in the equation
So, we have the following representation
2ˣ - x² = 7
Using the above as a guide, we have the following:
The solution is 7
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The cot c in pound of hiring a van for d day i given by the formula c=1045d work out the cot for 5 day
The cost of hiring a van for 5 days is $235.
In this question, we have been given an equation c = 10 + 45d that represents the cost in pounds of hiring a van for days.
here c = cost in pounds
d = number of days
We need to find the cost of hiring a van for 5 days.
Substitute the value d = 5 in given equation.
c = 10 + 45d
c = 10 + (45 × 5)
c = 10 + 225
c = 235 dollars
Therefore, the cost for 5 days is 235 dollars
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i need answer not links
Answer:
Ez *puts link epicly* B^)