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iragen [17]
3 years ago
13

A cat chases a mouse. The cat is originally 4 feet behind the mouse, which is running in the same direction along the same route

as the cat. If the cat's speed is 17 feet per second and the mouse's speed is 12 feet per second, how long will it take the cat to catch up with the mouse? (how many seconds?)
Mathematics
1 answer:
Verdich [7]3 years ago
8 0

Step-by-step explanation:

The position of the mouse at time t is 4 + 12t.

The position of the cat at time t is 17t.

When the positions are equal:

4 + 12t = 17t

4 = 5t

t = 0.8

It takes 0.8 seconds.

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A desk drawer is shaped like a rectangular prism. The height of the drawer is 7 inches. The bottom of the drawer has an area of
Bas_tet [7]

Answer:

1470 inches cubed

Step-by-step explanation:

Vol=length × width × height

But ALSO,

length × width = Area,

So we find another Volume equation,

Vol = BaseArea × height

This is the information you are given in the question.

Vol = 210 × 7

Vol = 1470 inches cubed

7 0
2 years ago
You paid $28.80 for a shirt that was on sale for 20% off of the original price. What was the original price?
MA_775_DIABLO [31]
The answer is 36.

Because 20% of 36 is equal to 7.2

And 36 - 7.2 = 28.80
5 0
2 years ago
Read 2 more answers
Half of the product of b and c
icang [17]
"Product" signifies multiplication, and "half" means divide by two (or multiply by 1/2). So half the product of b and c is (bc)/2 or (1/2)(bc).
6 0
3 years ago
Kimi and Jordan are each working during the summer to earn money in addition to
cluponka [151]

Their earnings would be the same after 4 hours

Let the number of hours be x, and the weekly earning be y

So, the given parameters are:

<u>Kimi</u>

  • Earnings = $9 per hour
  • Weekly allowance = $8

So, the equation for Kimi's weekly earning is:

y =9x + 8

<u />

<u>Jordan</u>

  • Earnings = $7 per hour
  • Weekly allowance = $16

So, the equation for Jordan's weekly earning is:

y = 7x + 16

Equate both equations

7x + 16 = 9x + 8

Collect like terms

9x - 7x = 16 - 8

2x =8

Divide both sides by 2

x =4

Hence, their earnings would be the same after 4 hours

Read more about linear equations at:

brainly.com/question/13729904

7 0
2 years ago
Please help :(,,,,,,???,,,,,,
nadya68 [22]

Step-by-step explanation:

The first one (f×g)(x) is asking you what is f of x times g of x. This means you multiply the function. You can multiply by the first term (5x) then the second (3) and combine like terms.

{15x}^{2} (5x) =  {75x}^{3}   \\ 19x(5x)  = 95 {x}^{2} \\  6(5x)  = 30x

{15x}^{2} (3) = 45 {x}^{2}  \\ 19x(3) = 57x \\ 6(3) = 18

Combine like terms

{75x}^{3}  +  {95x}^{2}  +  {45x}^{2}  + 30x + 57x \\  + 18 = \\   {75x}^{3}  +  {140x}^{2}  + 87x + 18

The second one asks you to divide.

Factor out f(x):

{15x}^{2}  + 19x + 6

From dividing f(x) /g(x)

\frac{ {15x}^{2} + 19x + 6 }{5x + 3}

To

\frac{(5x + 3)(3x + 2)}{5x + 3}

Cancel like terms since (5x+3) is on top and bottom of fraction.

You get 3x+2

5 0
3 years ago
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