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3 years ago

10

The number of students in each class is shown. 9,23,18,14,20,26,14,18,18,12,8,13,21,22,28,10,7,19,24,20 complete each frequency

table.

1 answer:

andrezito [222]3 years ago

8 0

You need paper to do this not people.

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Find a ratio equivalent to 15/60

Flauer [41]

Answer:

$\large\boxed{\dfrac{15}{60}=\dfrac{5}{20}=\dfrac{3}{12}=\dfrac{1}{4}}$

or

$\large\boxed{\dfrac{15}{60}=\dfrac{30}{120}=\dfrac{45}{180}=\dfrac{60}{240}}$

Step-by-step explanation:

Divide the numerator and the denominator by the same number:

$\dfrac{15}{60}\\\\=\dfrac{15:5}{60:5}=\dfrac{3}{12}\\\\=\dfrac{15:3}{60:3}=\dfrac{5}{20}\\\\=\dfrac{15:15}{60:15}=\dfrac{1}{4}\\\vdots$

or

Multiply the numerator and the denominator by the same number:

$\dfrac{15}{60}\\\\=\dfrac{15\cdot2}{60\cdot2}=\dfrac{30}{120}\\\\=\dfrac{15\cdot3}{60\cdot3}=\dfrac{45}{180}\\\\=\dfrac{15\cdot4}{60\cdot4}=\dfrac{60}{240}\\\vdots$

7 0

3 years ago

Read 2 more answers

Write an expression for the area of a triangle with a height of 2x^2 units and a base of 5x^2+4x units

Stolb23 [73]

Answer:

The area of the triangle is $5x^4 + 4x^3$ square units

Step-by-step explanation:

Given

Shape: Triangle

$Height = 2x^2$

$Base = 5x^2+4x$

Required

The area of the triangle

The area of a triangle is calculated as thus;

$Area = \frac{1}{2}(base)(height)$

By substituting $Height = 2x^2$ and $Base = 5x^2+4x$ ; This gives

$Area = \frac{1}{2}(5x^2 + 4x)(2x^2)$

$Area = \frac{(5x^2 + 4x)(2x^2)}{2}$

$Area = (5x^2 + 4x)(x^2)$

Open Bracket

$Area = 5x^2 * x^2 + 4x * x^2$

$Area = 5x^4 + 4x^3$

Hence, the area of the triangle is $5x^4 + 4x^3$ square units

3 0

3 years ago

Bobby has 3 times as many model spaceships as his friend Sylvester does. Bobby has 21 spaceships. How many model spaceships does

sweet [91]

He has seven models because 21 divided by 3 is seven

3 0

3 years ago

Read 2 more answers

What is the justification for step 2 in the solution process?12 - x = 7x +32Step 1: -X = 7x + 20Step 2: -8x = 20

HACTEHA [7]

Answer:

The subtraction property of equality

Option A is correct

Explanation:

The given equation is:

12 - x = 7x + 32

Subtract 12 from both sides

12 - 12 - x = 7x + 32 - 12

-x = 7x + 20 (Step 1)

From step 1 above, subtract 7x from both sides

-x - 7x = 7x - 7x + 20

-8x = 20 (Step 2)

Since we subtracted 7x from both sides to get step 2, the justification for step 2 is the subtraction property of equality

6 0

2 years ago

Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ

kirill [66]

It must have the same slope as the given line, so

m = -A/B = -1/-2 = 1/2

So far, we have

y = mx + b = x/2 + b

Use the given point to find b.

4 = -2/2 + b = -1 + b

b = 5

y = x/2 + 5

Multiply through by 2.

2y = x + 10

Standard form:

x - 2y = -10

4 0

3 years ago