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jonny [76]
3 years ago
13

Amy and Stephanie were playing a number game. Amy picked a number and told Stephanie that if she added 9 to the number and multi

plied the sum by 2, it would equal 8. Which equation could Stephanie use to find the number, x? A. 2(x + 9) = 8 B. 2(x) + 9 = 8 C. 9(x + 2) = 8 D. 2 + (x + 9) = 8
Mathematics
1 answer:
mrs_skeptik [129]3 years ago
5 0

Answer:

A. 2(x + 9) = 8

Step-by-step explanation:

To solve this problem, we proceed as follows:

- We call "x" the number picked up by Amy:

x

- Amy then adds 9 to this number, so we get:

x+9

- Then, we multiply this sum by 2, so we get:

2(x+9)

- Finally, Amy says that this number is equal to 8:

2(x+9)=8

So the correct equation is

A. 2(x + 9) = 8

We can even solve it to find the number. We get:

2(x+9)=8\\2x+2\cdot 9 = 8\\2x+18=8\\2x+18-18=8-18\\2x=-10\\x=\frac{-10}{2}=-5

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2 years ago
If a ball is thrown straight up into the air with an initial velocity of 70 ft/s, its height in feet after t seconds is given by
Vitek1552 [10]

Answer:

a) Average velocity at 0.1 s is 696 ft/s.

b) Average velocity at 0.01 s is 7536 ft/s.

c) Average velocity at 0.001 s is 75936 ft/s.

Step-by-step explanation:

Given : If a ball is thrown straight up into the air with an initial velocity of 70 ft/s, its height in feet after t seconds is given by y = 70t-16t^2.

To find : The average velocity for the time period beginning when t = 2 and lasting.  a. 0.1 s. , b. 0.01 s. , c. 0.001 s.

Solution :    

a) The average velocity for the time period beginning when t = 2 and lasting 0.1 s.

(\text{Average velocity})_{0.1\ s}=\frac{\text{Change in height}}{0.1}

(\text{Average velocity})_{0.1\ s}=\frac{h_{2.1}-h_2}{0.1}

(\text{Average velocity})_{0.1\ s}=\frac{(70(2.1)-16(2.1)^2)-(70(0.1)-16(0.1)^2)}{0.1}

(\text{Average velocity})_{0.1\ s}=\frac{69.6}{0.1}

(\text{Average velocity})_{0.1\ s}=696\ ft/s

b) The average velocity for the time period beginning when t = 2 and lasting 0.01 s.

(\text{Average velocity})_{0.01\ s}=\frac{\text{Change in height}}{0.01}

(\text{Average velocity})_{0.01\ s}=\frac{h_{2.01}-h_2}{0.01}

(\text{Average velocity})_{0.01\ s}=\frac{(70(2.01)-16(2.01)^2)-(70(0.01)-16(0.01)^2)}{0.01}

(\text{Average velocity})_{0.01\ s}=\frac{75.36}{0.01}

(\text{Average velocity})_{0.01\ s}=7536\ ft/s

c) The average velocity for the time period beginning when t = 2 and lasting 0.001 s.

(\text{Average velocity})_{0.001\ s}=\frac{\text{Change in height}}{0.001}  

(\text{Average velocity})_{0.001\ s}=\frac{h_{2.001}-h_2}{0.001}

(\text{Average velocity})_{0.001\ s}=\frac{(70(2.001)-16(2.001)^2)-(70(0.001)-16(0.001)^2)}{0.001}

(\text{Average velocity})_{0.001\ s}=\frac{75.936}{0.001}

(\text{Average velocity})_{0.001\ s}=75936\ ft/s

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UkoKoshka [18]
Answer: each pen costed him 2 dollars

Explanation: 24 - 10 = 14
14 / 7 = 2 $ per each pen
6 0
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