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2 years ago

Change3/4 to twelfths.

1 answer:

7 0

To solve, just think, what times 4 equals 12?

4*3 = 12

Therefore, multiply both sides by 3.

3*3 = 9 and 4 *3 = 12

9/12 is the final answer

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The school board administered a reading test to all eighth-grade students at High Achievers Charter School and determined that 1

In-s [12.5K]

Answer:

b) 10 percent of all eighth-grade students at HACS are reading below grade level

Step-by-step explanation:

The sample is eight-grade students at High Achievers Charter School at a particular time and this forms a part of the total population of eight-grade students in the school. So we can conclude that for every eight-grade class in the school, 10% are reading below grade level.

5 0

3 years ago

Read 2 more answers

Katena32 [7]

Given that the two pentagons are similar figures, the area of the pool = 675 sq. m..

<h3>What is the Area of Similar Figures?</h3>

If two figures are similar to each other, then, the ratio of the square of their corresponding sides equals the ratio of their areas.

We are given that the pool and the park are similar to each other. The diagram given is missing, however, here's how to find the area of the pool:

If x is a side of the pool and y is the corresponding side length of the park, therefore:

area of pool/area of park = x²/y².

Plug in the values given, cross multiply and find the area of the pool.

For example, if 3 is a side of the pool = x

6 is corresponding side of the park = y

Area of park = 2,700 sq. m

Thus:

Area of pool/2,700 = 3²/6²

Area of pool/2,700 = 9/36

Area of pool = (9 × 2,700)/36

Area of pool = 675 sq. m.

Learn more about the areas of similar figure on:

brainly.com/question/11899908

6 0

2 years ago

A faucet is used to add water to a large bottle that already contained some water. After it has been filling for 55 seconds, th

True [87]

Answer:

$y=3x+4$

Step-by-step explanation:

Let y be the amount of water in the bottle x seconds after the faucet was turned on.

We have been given that the gauge on the bottle indicates that it contains 19 ounces of water after it has been filling for 5 seconds. After it has been filling for 11 seconds, the gauge indicates the bottle contains 37 ounces of water.

We have two points on the line $(5,19)$ and $(11,37)$ .

Let us find slope of the line passing through these points.

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{37-19}{11-5}$

$m=\frac{18}{6}$

$m=3$

We will write our required equation in slope-intercept form $y=mx+b$ , where, m represents slope and b represents the y-intercept.

Let us find y-intercept by substituting $m=3$ and coordinates of point $(5,19)$ in slope intercept form.

$19=3\cdot 5+b$

$19=15+b$

$19-15=15-15+b$

$4=b$

Therefore, our required equation would be $y=3x+4$ .

8 0

3 years ago

Solve the absolute value equation. Check for extraneous solutions: |9x-3|=12

STatiana [176]

ANSWER: x=5/3, -1. Good luck. Hope this suffices.

Explanation for x=-1: |9x-3|=12. Lets take the absolute value brackets away for a sec. Add 3 to both sides 9x-3+3=-12+3, simplify: 9x=-9, divide both sides by nine:9x/9=-9/9. And that means that x=-1.

Explanation for x=5/3: |9x-3|=12. Add 3. 9x-3+3=12+3. Simplify: 9x=15. Divide both sides by 9. 9x/9=15/9. Simplify: x=5/3

5 0

2 years ago

Find the value of y.<br> Picture below

olga2289 [7]

We have trapezoid with congruent legs.

30x + 11y = 2x + 3

28x +11y = 3

Also we have

30x + 11y = 12

We got 2 equations:

30x + 11y = 12

28x +11y = 3 (*-1) -----> -28x -11y = -3

30x + 11y = 12

2x = 9

x=9/2

30x + 11y = 12 ------> 30*9/2 +11y =12 ------> 135+11y =12, ---> 11y = - 123,

y= - 123/11

6 0

2 years ago