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2 years ago

Fred works as a gardener. He charges at least $15 to drive to a residence and

1 answer:

7 0

We are required to find an inequality which best represents the relationship between the number of hours gardening g and the total charge c

The inequality which best represents the relationship between the number of hours gardening g and the total charge c is c ≥ 15 + 12g

At least means greater than or equal to (≥)

fixed charge = $15

charges per hour = $12

Total charge = c

Number of hours = g

The inequality:

Total charge ≥ fixed charge + (charges per hour × Number of hours

c ≥ 15 + (12 × g)

c ≥ 15 + (12g)

c ≥ 15 + 12g

Therefore, the inequality which best represents the relationship between the number of hours gardening g and the total charge c is c ≥ 15 + 12g

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How many solutions does this equation have? 10 + 5x 15 = 4 A) no solution B) exactly one solution C) exactly two solutions D) in

Tatiana [17]

Answer:

B) exactly one solution

Step-by-step explanation:

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2 years ago

You are graphing Square ABCDABCDA, B, C, D in the coordinate plane. The following are three of the vertices of the square: A(4,

Vsevolod [243]

Answer:

D(4,-3)

Step-by-step explanation:

Given three of the vertices of the square: A(4, -7), B(8, -7),C(8, -3)

Let the coordinate of the fourth vertex be D(x,y).

We know that diagonals of a square are perpendicular bisector. So, the midpoint of both diagonals is the same.

The diagonals are BD and AC

Midpoint of BD = Midpoint of AC

$\left(\dfrac{8+x}{2},\dfrac{-7+y}{2}\right) =\left(\dfrac{4+8}{2},\dfrac{-7+(-3)}{2}\right)\\ \left(\dfrac{8+x}{2},\dfrac{y-7}{2}\right) =\left(\dfrac{12}{2},\dfrac{-10}{2}\right)\\ \left(\dfrac{8+x}{2},\dfrac{y-7}{2}\right) =\left(6,-5\right)\\$Therefore$:\\\dfrac{8+x}{2}=6\\8+x=12\\x=12-8\\x=4\\$Similarly$\\\dfrac{y-7}{2}=-5\\y-7=-5*2\\y-7=-10\\y=-10+7=-3$

The coordinates of the fourth vertex is D(4,-3)

8 0

2 years ago

Graph y=8.5xy=8.5xy, equals, 8, point, 5, x.

Morgarella [4.7K]

Answer:

A, B, E

Step-by-step explanation:

Given equation

y = 8.5x

Answer choices

A. The equation represents a proportional relationship.

TRUE, it is in the form of y = kx

B. The unit rate of change of y with respect to x is 8.5

TRUE, y = mx + b, the slope m = 8.5 is the rate of change

C. The slope of the line is 2/17

False, the slope is 8.5

D. A change of 17 units in x results in a change of 2 units in y.

False, a change of x = 17 results in 17*8.5 = 144.5 units in y

E. A change of 4 units in x results in a change of 34 units in y.

TRUE, because 4*8.5 = 34

3 0

2 years ago

Mabel spends 444 hours to edit a 333 minute long video. She edits at a constant rat\\\\\\\\\\\\\\e. How long does Mabel spend to

mestny [16]

Mabel spends 4 hours editing a 3 minute video. she edits at a constant rate. how long does mabel spend to edit a 9 minute video?

she spends 4 hours on a 3 minute video
so there are 60 minutes in an hour
4 hours with 60 minutes- 4x60=240
so she spent 240 minutes on a 3 minute video
3 divided by 240
3/240= 0.0125
so her constant rate is 0.0125 minutes an hour
so divide 9 minutes by her constant rate
9/0.0125 = 720
so she spends 720 minutes on a 9 minute video.
divide 720 by 60 since there are 60 minutes in an hour
720/60 = 12
so she spends 12 hours on a 9minute video

7 0

2 years ago

What's the circumference of a circle with a diameter of 9 inches?

yaroslaw [1]

Answer:

9pi

Step-by-step explanation:

circumference= 2 (pi) (r)

radius = diameter \ 2

r = 9 \ 2 = 4.5in.

c = 2 (pi) (4.5)

c = 9pi or 28.3in.

Hope this helps!

3 0

3 years ago