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AveGali [126]
3 years ago
13

Kristin earns $6.50 for every hour she babysits for the Overstreet family. Part A: Last Friday, Kristin babysat for 4.5 hours. H

ow much money did she make during that job? $__________ Part B: Mrs. Overstreet has told Kristin that she will pay her $45.50 for tomorrow's babysitting job. How many hours will Kristin babysit then? __________ hours
Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
8 0

Answer: Part A: she would make 35.75

Part B:  She would work for 7 hours

Step-by-step explanation:

Part A: $6.50+4.5=35.75

Part B: $45.50 dived by $6.50 would be 7. So she worked 7 hours

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The width of a large, rectangular-shaped tree farm is 1.9 kilometers. The length of the farm is 4.4 kilometers. What are the bes
Vinvika [58]

Answer:

9 square kilometers

Step-by-step explanation:

Let's round the width to 2.0 kilometers, and round the length to 4.5 kilometers.

We know that area is length times width, so

A = lw

A = 2.0*4.5

<u>A = 9.0 square kilometers</u>

If we do this on the calculator, it's around 9.36 square kilometers, so our estimate was good.

6 0
3 years ago
Consider the quadratic function f(x) = –2x2 + 4x – 2. Find the y-intercept and the equation of the axis of symmetry.
RoseWind [281]

Answer:

The y-intercept is -2

The equation of the axis of symmetry is x = 1 ⇒ 3rd answer

Step-by-step explanation:

* Lets revise the general form of the quadratic function

- The general form of the quadratic function is f(x) = ax² + bx + c,

 where a, b , c are constant

# a is the coefficient of x²

# b is the coefficient of x

# c is the y-intercept

- The meaning of y-intercept is the graph of the function intersects

 the y-axis at point (0 , c)

- The axis of symmetry of the function is a vertical line

  (parallel to the y-axis) and passing through the vertex of the curve

- We can find the vertex (h , k) of the curve from a and b, where

 h is the x-coordinate of the vertex and k is the y-coordinate of it

# h = -b/a and k = f(h)

- The equation of any vertical line is x = constant

- The axis of symmetry of the quadratic function passing through

  the vertex then its equation is x = h

* Now lets solve the problem

∵ f(x) = -2x² + 4x - 2

∴ a = -2 , b = 4 , c = -2

∵ The y-intercept is c

∴ The y-intercept is -2

∵ h = -b/2a

∴ h = -4/2(-2) = -4/-4 = 1

∴ The equation of the axis of symmetry is x = 1

4 0
2 years ago
Santa Claus can buy 3 reindeer and a sleigh for $800. If the sleigh cost $230, how much did each reindeer cost? Define the varia
nydimaria [60]

Answer:

$190

Step-by-step explanation:

800-230=570

570÷3=190

8 0
3 years ago
9.<br> Round 45.2374 to the nearest tenth.
Alexxx [7]

Answer:

45.2

Step-by-step explanation:

the tenths is the first number to the right after the decimal

7 0
2 years ago
Which expressions are equivalent to 2(b+3c)?
Rina8888 [55]

Answer:

B. (b+3c)+(b+3c)

C. 2(b)+2(3c)

Step-by-step explanation:

we have

2(b+3c)

Distribute the number 2

2(b+3c)=2b+2(3c)=2b+6c

Verify each case

case A) 3(b+2c)

distribute the number 3

3(b+2c)=3b+3(2c)=3b+6c

3b+6c \neq 2b+6c

therefore

Choice A is not equivalent to the given expression

case B) (b+3c)+(b+3c)

Combine like terms

b+3c)+(b+3c)=(b+b)=(3c+3c)=2b+6c

2b+6c= 2b+6c

therefore

Choice B is equivalent to the given expression

case C) 2(b)+2(3c)

Multiply both terns by 2

2(b)+2(3c)=2b+6c

2b+6c= 2b+6c

therefore

Choice C is equivalent to the given expression

6 0
3 years ago
Read 2 more answers
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