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Dvinal [7]
3 years ago
12

Before the eruption of a​ volcano, the volcano was 2.75 kilometers high. After the​ eruption, the volcano was 2.25 kilometers hi

gh. Find the difference in height of the volcano before and after the​ eruption, in meters.
Mathematics
1 answer:
SOVA2 [1]3 years ago
4 0
Before the eruption the vulcano was 2.75 km high, what is equal to (2,75x1000) 2750 m. After the eruption it was 2250 meters high. The difference would then be 2750-2250= 500 meters.
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Solve for 3/4u = 12<br> .<br> Simplify your answer as much as possible.
Wittaler [7]

Answer:

u = 16

Step-by-step explanation:

Given

\frac{3}{4} u = 12

Multiply both sides by 4 to eliminate the fraction

3u = 48 ( divide both sides by 3 )

u = 16

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3 years ago
(3-p)^2<br> How to solve this steps
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3 years ago
Solve the system: <br> 2x+6y=36<br> x+4y=20
Assoli18 [71]

<u>Let's solve this problem step-by-step</u>

<u>Let's set</u>:

   2x + 6y = 36 -- equation 1

   x + 4y = 20 -- equation 2

(equation 2) * 2

   2x + 8y = 40 -- equation 3

(equation 3) - (equation 1)

   2y = 4

   y = 2 -- equation 4

Plug (equation 4)'s value of y into (equation 2)

   x + 4(2) = 20

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   x = 12

<u>Thus x = 12 and y = 2</u>

<u>Let's check, by substituting these values</u>

  2x + 6y = 36\\2(12)+6(2) = 36\\24+12=36\\36=36\\\\x+4y=20\\12+4(2)=20\\12+8=20\\20=20

<u>Answer: x = 12 and y = 2</u>

Hope that helps!

5 0
2 years ago
A business uses straight-line depreciation to determine the value y of an automobile over a 5-year period. Suppose the original
Elena-2011 [213]

For this problem. it is found that:

a) The automobile has depreciated 75% in 5 years.

b) The value of the automobile was reduced by $10,500 in five years.

c) The linear function is: s(t) = 14,500 - 2,100t.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = ax + b

In which:

  • a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

From the problem, we have that:

a) The automobile has depreciated 75% in 5 years, as 4000/14500 = 0.25, and 100% - 25% = 75%.

b) The value of the automobile was reduced by $10,500 in five years, as 14500 - 4000 = $10,500.

For the linear function, we have that:

  • The initial value is b = 14500.
  • The slope is of a = -10500/5 = -2100.

Hence the linear function is: s(t) = 14,500 - 2,100t.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

6 0
2 years ago
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