MATHEMATICS HIGH SCHOOL

108 is 36% of what number? Write and solve a proportion to solve the problem

Answers

Answer 1

Answer:

Let the number = x

Then, it would be: (x*36)/100 = 108

x*36 = 10800

x = 10800/36

x = 300

Answer 2

Answer:

108 is 36 percent of the number 300.

Use a proportion to proceed to find the number.

A proportion is an equation that shows two ratios are equivalent.
In this case, we want to find the number that 108 is 36% of.

Write this proportion as:

108/x = 36/100

Here,

x represents the unknown number that we want to find.

Simplify this proportion by cross-multiplying:

(108)( 100) = 36x

Simplifying further, we get:

x = (10800)/36

x = 300

Therefore, 108 is 36% of 300.

Hence, the required number is 300.

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What is the solution to the system of equations below?y=-6x-10
and
y=-3x-21
(2, -22)
(2,48)
(-2, 2)
(-2, -20)

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equations

$y=-6x-10$

$y=-3x-21$

solving the system of the equations

Arrange the equation variables for elimination

$\begin{bmatrix}y+6x=-10\n y+3x=-21\end{bmatrix}$

$y+3x=-21$

$-$

$\underline{y+6x=-10}$

$-3x=-11$

$\begin{bmatrix}y+6x=-10\n -3x=-11\end{bmatrix}$

solve

$-3x=-11$

Divide both sides by -3

$(-3x)/(-3)=(-11)/(-3)$

$x=(11)/(3)$

$\mathrm{For\:}y+6x=-10\mathrm{\:plug\:in\:}x=(11)/(3)$

$y+6\cdot (11)/(3)=-10$

$y=-32$

Therefore, the solutions to the system of the equations are:

$y=-32,\:x=(11)/(3)$

But, it seems none of the options is true.

Answer:

A. (2, -22)

Step-by-step explanation:

I just took the test and i got a one hundred! I really hope it helped!!!!

5.A store manager receives a delivery of 1,200light bulbs. The store manager tests all the

lightbulbs and finds that 180 of them are defective.

Based on these results, what can the store

manager predict about the next delivery of 1,800

light bulbs?

Answers

The store manager can predict that there may be approximately 270 defective light bulbs in the next delivery of 1,800 light bulbs.

Based on the given information, we know that 180 out of 1200 light bulbs in the first delivery were defective. We can use this information to estimate the number of defective light bulbs we might expect in the next delivery of 1,800 light bulbs.

To do this, we can use the proportion of defective light bulbs in the first delivery and apply it to the next delivery. The proportion of defective light bulbs in the first delivery is:

180/1200 = 0.15

So, we can expect that approximately 0.15 of the light bulbs in the next delivery will be defective. To find out the actual number of defective bulbs, we can multiply this proportion by the total number of bulbs in the next delivery:

0.15 x 1800 = 270

Therefore, the store manager can predict that there may be approximately 270 defective light bulbs in the next delivery of 1,800 light bulbs. However, this is only an estimate and the actual number of defective bulbs could be higher or lower than this prediction.

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Which expression is equivalent to 10 - 810−810, minus, 8?

Answers

Answer:

10+(-8)

Step-by-step explanation:

Final answer:

The expression 10 - 8 - 810 is equivalent to -808.

Explanation:

The expression 10 - 8 - 810 is equivalent to subtracting 8 from 10 and then subtracting 810. The order of operations states that subtraction should be done from left to right, so we first subtract 8 from 10 to get 2. Then we subtract 810 from 2 to get -808.

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I dont understand graphs at all

Answers

Answer:

cool?

Step-by-step explanation:

Same same same same same

What is the area of the figure? A. 90 mm2 B. 110 mm2 C. 130 mm2 D. 180 mm

Answers

I see two shapes in the given figure. A rectangle and a triangle.

We need to get the area of the rectangle and triangle. We then deduct the area of the triangle from the area of the rectangle to get the area of the shaded portion.

Area of the rectangle = length * width
A = 11 mm * 10 mm
A = 110 mm²

Area of the triangle = (hb)/2
A = [(11mm-7mm)(10mm)] ÷ 2
A = (4mm*10mm) / 2
A = 40mm²/2
A = 20mm²

110 mm² - 20mm² = 90 mm² Choice A.

The measure if an exterior angle of a regular polygon is given below find the measure of an interior angle then find the number of sides 24

Answers

Answer:

The measure of the interior angle is 156°

The polygon has 15 sides

Step-by-step explanation:

Let us revise some facts in a polygon

The sum of the exterior angles of any polygon is 360°

At each vertex of a polygon, the exterior and interior angles formed a pair of linear angles (The sum of their measures is 180°)
A regular polygon has equal angles and equal sides

In our question

∵ The measure of an exterior angle of a regular polygon = 24°

∵ The sum of measures of the interior angle and exterior angle at

a vertex of a polygon is 180°

∴ The measure of the interior angle = 180° - 24°

∴ The measure of the interior angle = 156°

∵ The sum of the exterior angles of any polygon is 360°

∵ The polygon is regular (all angles are equal in measures)

∴ The measure of each exterior angle = 360° ÷ n, where n the

number of its angles or sides

∴ 24° = 360°/n

→ Multiply both sides by n