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vodka [1.7K]
3 years ago
14

The amount of a person’s paycheck p varies directly with the number of hours worked t. For 10 hours of work, the paycheck is $57

.50. Write an equation for the relationship between hours of work and pay.
Mathematics
2 answers:
Flauer [41]3 years ago
8 0
P=5.75t
because it adds up every hour.
otez555 [7]3 years ago
4 0
10 hr  for 57.750
So 1 hr would be 5.750$
 For 2 hrs it is 11.500 $
 Means every single hrs increse paycheck increase bythe same ratio
So equation is p= 5.750×t
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The perimeter of a square can represent by 16x + 24. Willa wants to write an equivalent expression for the perimeter that shows
Inessa [10]
Given that in a square, length=width, let the length be L, the perimeter will be:
P=L+L+L+L=4L
but
4L=16x+24
thus the length of one side will be:
L=4x+6
hence the length of the perimeter is (4x+6) units and the width is (4x+6) units.
3 0
3 years ago
Let f(x) = x2 and g(x) = x + 5. Write an expression that represents each composition:
LekaFEV [45]

Answer:

(a) 21

(b) 81

(c) (fog)x=(x+5)^2=x^2+10x+25                  

Step-by-step explanation:

We have given the function f(x)=x^2\ and g(x)=x+5

(a) We have to write the expression for given composition

g(f(4))

Now first we find f(4)

So f(4) = 4^2=16

So g(f(4))=g(16)=16+5=21

(b) f(g(4))

Now first we find g(4)

So g(4) = 4+5=9

So f(g(4))=f(9)=9^2=81

(fog)x=(x+5)^2=x^2+10x+25

4 0
3 years ago
Can somebody please help me? Thank you :)
MatroZZZ [7]
Volume of the pyramid = (1/3)*area of the base*height
= (1/3)*5.2*h
7 0
3 years ago
50 POINTS
salantis [7]

Answer: Reflection across = -2; clockwise rotation

Step-by-step explanation: To get this answer, you first must work out the other answers. If you reclect across the x-axis and rotate 90 degrees clockwise, you'll find the shape to be in almost the exact same place it was before.

The third choice is illogical, because if you reflect over the y-axis, the shape is nowhere near where you need it to be, and rotating it 90 degrees counterclockwise is gonna bring it back to where you started.

The fourth option is the same as the third yet this time the clockwise rotation will bring you down to the negative y's, which is the opposite of where you need to be.

Therefore, that is why the first option is the better one to choose. Reflecting the shape over x = -2 is going to give you the correct orientation you needed for the 90 degree rotation.

I hope this helps!

8 0
3 years ago
A pot of dolphins contains 800 dolphins of various ages and lengths. The median length of dolphins in this pod is 5.8 feet. What
dusya [7]

Answer: kindly check explanation

Step-by-step explanation:

Given that number of dolphins = 800 with different length and ages

Median length = 5.8 feets

The median may be explained to be a measure of center which gives the information as regards around the middle or midpoint of a dataset. According to the information above, the median length if the 800 dolphins is 5.8 feets, this means the 50th percentile value is 5.8 feets and hence, Half of the dolphins sampled have a length which is greater than 5.8 feets and the other half has a length which is less than 5.8 feets.

3 0
3 years ago
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