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Musya8 [376]
3 years ago
9

Solve the following equation (If possible please show work)

Mathematics
1 answer:
irina [24]3 years ago
4 0

Answer:

<em>x = 5</em>

Step-by-step explanation:

5(x + 4) - 8 = x + 32

5x + 20 - 8 = x + 32

5x + 12 = x + 32

5x - x + 12 = 32

5x - x = 32 - 12

4x = 32 - 12

4x = 20

x = 5

Hope this helped! :)

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Answer:

Below.

Step-by-step explanation:

This is a square based pyramid.

There are:

5 Faces (one on the base and 4 side faces)

8 edges.   ( 4 on base and 4 on side)

5 vertices   (4 on the base and one on the top)

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1 year ago
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Answer:

The answer is 6 feet below the surface of the water.

Step-by-step explanation:

So the fish started out as 12m below the surface then went 3m down. If you add 12m and 3m you'll 15m, then minus with a 9m to came up with 6m. But the fish is still below surface, which gives you the answer of " 6 feet below the surface"

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8 0
2 years ago
A 78 gram sample of Uranium loses half of its mass each year. What is the exponential equation? Please explain why A is the corr
Fiesta28 [93]

Answer:

A

Step-by-step explanation:

The first answer is correct because we have a decay factor.

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If the second answer were used, then the sample would be gaining mass.

8 0
2 years ago
Daniella is interviewing for a job. She wants her take-home pay to be at least $51,000 
Lilit [14]
Okay. So Daniella wants to have a take-home pay of at least $51,000, but she ahs to pay 15% income tax, which means 15% of what she earns will be gone. To find out the least amont of salary she needs to make, we can write and solve a proportion. Set it up like this:

51,000/x = 85/100

This is because we are looking for the amount of money made overall, but the $51,000 is only part of the salary earned, and even though you pay 15% income tax, you still take home 85% of your salary. Cross multiply the valyes in order to get 5,100,000 = 85x. Divide each side by 85 to isolate the variable. 5,100,000/85 is 60,000. Let's check this by multiplying by 85% (0.85). 60,000 * 0.85 is 51,000. There. x = 60,000. Daniella will need to make at least $60,000.
5 0
3 years ago
Chase consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Chase's body
PIT_PIT [208]

Answer:

(a) The 5-hour decay factor is 0.5042.

(b) The 1-hour decay factor is 0.8720.

(c) The amount of caffeine in Chase's body 2.39 hours after consuming the drink is 149.112 mg.

Step-by-step explanation:

The amount of caffeine in Chase's body decreases exponentially.

The 10-hour decay factor for the number of mg of caffeine is 0.2542.

The 1-hour decay factor is:

1-hour\ decay\ factor=(0.2542)^{1/10}=0.8720

(a)

Compute the 5-hour decay factor as follows:

5-hour\ decay\ factor=(0.8720)^{5}\\=0.504176\\\approx0.5042

Thus, the 5-hour decay factor is 0.5042.

(b)

The 1-hour decay factor is:

1-hour\ decay\ factor=(0.2542)^{1/10}=0.8720

Thus, the 1-hour decay factor is 0.8720.

(c)

The equation to compute the amount of caffeine in Chase's body is:

A = Initial amount × (0.8720)<em>ⁿ</em>

It is provided that initially Chase had 171 mg of caffeine, 1.39 hours after consuming the drink.

Compute the amount of caffeine in Chase's body 2.39 hours after consuming the drink as follows:

A = Initial\ amount \times (0.8720)^{2.39} \\=[Initial\ amount \times (0.8720)^{1.39}] \times(0.8720)\\=171\times 0.8720\\=149.112

Thus, the amount of caffeine in Chase's body 2.39 hours after consuming the drink is 149.112 mg.

4 0
3 years ago
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