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masha68 [24]
3 years ago
9

sally has 200$ in her checking account and gets paid 15$ an hour for babysitting kent has $245 in his checking account and gets

paid $12 an hour for baby sitting how many hours do kent and sally need to work to have the same amount on money in their checking account
Mathematics
1 answer:
kogti [31]3 years ago
7 0

Answer:

Sally and Kent would have to each work a total of 15 hours to have the same amount of money in their checking account.

Step-by-step explanation:

Set up equations.

x = hours, T = total $

Sally:

T = 200 + 15x

Kent:

T = 245 + 12x

Set both equations equal to each other.

200 + 15x = 245 + 12x       (subtract 200 from both sides)

15x = 45 + 12x          (subtract 12x from both sides)

3x = 45            (divide both sides by 3)

x = 15

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Solve the simultaneous equations:<br><br> 5x + 3y = 9<br> 7x - 2y = 25<br><br> x=__<br> y=__
kondor19780726 [428]

Answer:

x= 3, y= -2

Step-by-step explanation:

5x+3y= 9

x= 25÷7 + 2÷7 y

5(25÷7 +2÷7 y)

5( 25÷7 +2÷7 y ) + 3y= 9

y= -2

x= 25÷7 + 2÷7 x (-2)

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5 0
2 years ago
A triangular prism is 40 millimeters long and has a triangular face with a base of 24 millimeters and a height of 35 millimeters
abruzzese [7]

Answer:

26,508

Step-by-step explanation:

To find out how to solve this is that we first need to know that Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.

Also: To find the total surface area of a prism, you need to calculate the area of two polygonal bases, the top face and bottom face. And then calculate the area of lateral faces connecting the bases. Add up the area of the two bases and the area of the lateral faces to get the total surface area of a prism.

The top= 12 x 24 x 35 = 10,080

The lateral faces: 12 x 37 x 37 = 16,428

Surface Area= 10,080 + 16,428 = 26,508

7 0
2 years ago
N the function y = 12.00x + 50, y represents the cost of carpet by the square yard and x represents the number of square yards.
borishaifa [10]

Answer:

The cost increase for each square of carpet by 12.

Step-by-step explanation:

The given function is

y=12.00x+50

It is a slope intercept form of the line

y=mx+b

Where m is the slope and b is y-intercept.

Therefore the slope of given function is 12 and the y-intercept is 50.

It means the initial ot fixed cost of the carpet is 50 and the cost increased by 12 for each square of carpet.

3 0
3 years ago
Find the slope of the line passing through the points (2,5) and (8, −4)
brilliants [131]
Slope = -4-5/8-2
Slope = -9/6
6 0
3 years ago
The mass of a grain of sand is about 10^-3 gram. About how many grains of sand are in the bag of sand?
nika2105 [10]

there are 10 million grains in that bag of sand this is because one grain equals to 10 power -3 what about 10 kg you change it into grams then you cross multiply and get the answer

8 0
3 years ago
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