MATHEMATICS COLLEGE

7 is what percent of 8

Answers

Answer 1

Answer:

7 is 87.5 percent of 8.

Here, we have,

given that,

7 is what percent of 8

now, let,

x% of 8 is 7.

we know that,

of means multiply

now, we have,

x% of 8 is 7..

=> x% × 8 = 7.

=> x% = 7/8

=> x% = 0.875

=> x = 0.875 * 100

=> x = 87.5

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Answer 2

Answer:

Answer:

87.5%

Step-by-step explanation:

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1 is 25% of what number?

Answers

Answer:

25% of 4 is 1.

Step-by-step explanation:

100% of 4 is 4, therefore 25 percent of 4 equals 1.

Which represents an exterior angle of triangle XYZ?O LXZ
O JXM
O JXZ
O HXJ

on edge 2020

Answers

An exteriorangle of ΔXYZ is ∠HXJ.

The correct option is D.

What is an angle measure?

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

As per the provided diagram, the exterior angles in the ΔXYZ are:

∠LXH,

∠MXJ,

∠HXJ,

∠OYK,

∠GZN,

∠MXZ,

∠YXL,

∠KYZ,

∠GZY.

From the given choices, ∠HXJ is an exterior angle of ΔXYZ.

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Answer:

The answer is C, <JXZ.

Step-by-step explanation:

Find the general solution of the following equation: y'(t) = 3y -5

Answers

Answer:

The general solution of the equation is y = $(A)/(3)e^(3t)$ + 5

Step-by-step explanation:

Since the differential equation is given as y'(t) = 3y -5

The differential equation is re-written as

dy/dt = 3y - 5

separating the variables, we have

dy/(3y - 5) = dt

integrating both sides, we have

∫dy/(3y - 5) = ∫dt

∫3dy/[3(3y - 5)] = ∫dt

(1/3)∫3dy/(3y - 5) = ∫dt

(1/3)㏑(3y - 5) = t + C

㏑(3y - 5) = 3t + 3C

taking exponents of both sides, we have

exp[㏑(3y - 5)] = exp(3t + 3C)

3y - 5 = $e^(3t)e^(3C)$

3y - 5 = $Ae^(3t)$ $A = e^(3C)$

3y = $Ae^(3t)$ + 5

dividing through by 3, we have

y = $(A)/(3)e^(3t)$ + 5

So, the general solution of the equation is y = $(A)/(3)e^(3t)$ + 5

List three properties of a rhombus

Answers

All sides are congruent
The diagonals bisect each other (bisect means cut in half)
The diagonals are perpendicular

one thing is that all the sides are congruent by definition

During a nine-hour snowstorm, it snows at a rate of 2 inches per hour for the first 3 hours, at a rate of 3 inches per hour for the next 5 hours, and at a rate of 0.75 inch per hour for the final hour.How many inches of snow accumulated from the storm?

Answers

Answer:

use f(x)=y=mx+b

let snow = S, time = t instead of y and x

S(t)=mt+b

The rate of inches per hour represents the slope of the graph, m.

The y-variable would be the amount of snow, S.

The x-variable would be the time, t, in hours.

The function has three pieces:

i) S(t)= 2t (slope = 2)

ii) S(t) = 3t (slope = 3)

iii) S(t) = 0.75t (slope = 0.75)

For the first piece, i), t=3, so the amount of snow is 6 inches.

For the second piece, ii) t=5, so the amount of snow is 15 inches.

For the third piece, iii) t=1, so the amount of snow is 0.75 inch.

In total, it snowed 21.75 inches.

total snow

Final answer:

To find the total accumulation of snow during the nine-hour snowstorm, we calculate the snow accumulation for each hour and then sum them up. The total accumulation of snow from the storm is 21.75 inches.

Explanation:

To find the total accumulation of snow during the nine-hour snowstorm, we need to calculate the amount of snow that fell during each hour and then sum them up. First, we calculate the snow accumulation for each hour:

For the first 3 hours, it snowed at a rate of 2 inches per hour, so the accumulation is 3 * 2 = 6 inches.
For the next 5 hours, it snowed at a rate of 3 inches per hour, so the accumulation is 5 * 3 = 15 inches.
For the final hour, it snowed at a rate of 0.75 inch per hour, so the accumulation is 1 * 0.75 = 0.75 inches.

Finally, we sum up the accumulations for each hour: 6 + 15 + 0.75 = 21.75 inches. Therefore, the total accumulation of snow from the storm is 21.75 inches.