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diamong [38]
3 years ago
13

A red balloon is 40 feet above the ground and rising at 2 feet per second. At the same time, a blue balloon is 60 feet above the

ground and falling at a rate of 3 feet per second. How long will it take for the two balloons to be the same height from the ground? Let s = the number of seconds since the balloons began moving.
WRITE AN EQUATION FOR THIS.
Mathematics
1 answer:
VikaD [51]3 years ago
4 0

Answer:

40+2s=60-3s

Step-by-step explanation:

The red balloon starts 40 feet off the ground and rises 2 feet per second. This means the height of the red ballon is 40+2s.

The blue balloon starts 60 feet off the ground at starts falling 3 feet per second. This means the height of the blue balloon is 60-3s.

Because we want to find out when the balloons will be the same height, we set them equal to each other.

40+2s=60-3s

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Students receive a 15% discount at the local movie theater. If a student pays the discounted price of $7.65, what is the origina
Over [174]

Answer:

\large \boxed{\$9.00}

Step-by-step explanation:

Let p = the original price of the ticket

\begin{array}{rcl}\text{ Price before discount - discount} & = & \text{sale price}\\p - 0.15p & = & 7.65\\0.85p & = & 7.65\\p & = & \dfrac{7.65 }{0.85}\\\\& = & \mathbf{9.00}\\\end{array}\\\text{The original price of the ticket was $\large \boxed{\mathbf{\$9.00}}$}

Check:

\begin{array}{rcl}9.00 - 0.15(9.00) & = & 7.65\\9.00 - 1.35 & = & 7.65\\7.65 & = & 7.65\\\end{array}

OK.

7 0
3 years ago
How to solve this substitution​
Lena [83]
-5x+4y=11
substitute for x which is 5
(-5)(5)+4y=11

simplify :
4y-25=11

add 25 on both sides
4y-25=11
+25 +25
the 25 cancels out

so it would be 4y=36
and you divide both sides by 4

4/4 =36/4

which gives you (5,9)
x= 5 , y =9
6 0
3 years ago
The ratio of lifting force to area is equivalent for all pairs in the table what are the values of x and y?
Ksivusya [100]
It’s answer y=x4-3 because of x and y are combined in the same way they are similar
8 0
3 years ago
Which statements about the factors of the terms in the expression 20 a + 15 a b + 24 b are true? Select three options.
vivado [14]

Answer:

1 and 3 is right

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
800 ft to dekameters
daser333 [38]
1 foot = 12 inches, and we get 9600 inches, which is 24.384 dekameters.
---
Hope this helps!
==jding713==
4 0
3 years ago
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