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3 years ago

Find ratio equal to 12:7

Mathematics

2 answers:

Dmitry [639]3 years ago

6 0

12:7
12(2):7(2)
24:14

12:7 = 24:14
I hoped I helped(:

son4ous [18]3 years ago

4 0

12:7
You can multiply it by like anything so....
Like if you multiply it by two it will equal
24:14
Or by 3
36:21
It by 4
48:28
It really doesn't matter which one because all the ratios that I just gave you are all equal to 12:7
I really hope I helped

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Which expressions are equivalent??

Brilliant_brown [7]

Given:

The given expression is $2\left(\frac{3}{4} x+7\right)-3\left(\frac{1}{2} x-5\right)$

We need to determine the equivalent expression.

Option A: -1

Solving the expression, we get;

$\frac{3}{2} x+14-\frac{3}{2} x+15$

Simplifying, we get;

$14+15=29$

Thus, the expression $2\left(\frac{3}{4} x+7\right)-3\left(\frac{1}{2} x-5\right)$ is not equivalent to -1.

Hence, Option A is not the correct answer.

Option B: 29

Solving the expression, we get;

$\frac{3}{2} x+14-\frac{3}{2} x+15$

Simplifying, we get;

$14+15=29$

Thus, the expression $2\left(\frac{3}{4} x+7\right)-3\left(\frac{1}{2} x-5\right)$ is equivalent to 29.

Hence, Option B is the correct answer.

Option C: $2\left(\frac{3}{4} x+7\right)+(-3)\left[\frac{1}{2} x+(-5)\right]$

Let us rewrite the given expression.

$2\left(\frac{3}{4} x+7\right)+(-3)\left[\frac{1}{2} x+(-5)\right]$

Thus, the expression $2\left(\frac{3}{4} x+7\right)-3\left(\frac{1}{2} x-5\right)$ is equivalent to $2\left(\frac{3}{4} x+7\right)+(-3)\left[\frac{1}{2} x+(-5)\right]$

Thus, Option C is the correct answer.

Option D: $2\left(\frac{3}{4} x\right)+2(7)+3\left(\frac{1}{2} x\right)+3(-5)$

Rewriting the expression, we get;

$2\left(\frac{3}{4} x+7\right)+(-3)\left[\frac{1}{2} x+(-5)\right]$

Hence, the expression $2\left(\frac{3}{4} x+7\right)-3\left(\frac{1}{2} x-5\right)$ is equivalent not to $2\left(\frac{3}{4} x\right)+2(7)+3\left(\frac{1}{2} x\right)+3(-5)$

Thus, Option D is not the correct answer.

Option E: $2\left(\frac{3}{4} x\right)+2(7)+(-3)\left(\frac{1}{2} x\right)+(-3)(-5)$

Multiplying the terms within the bracket, we get;

$2\left(\frac{3}{4} x\right)+2(7)+(-3)\left(\frac{1}{2} x\right)+(-3)(-5)$

Hence, the expression $2\left(\frac{3}{4} x+7\right)-3\left(\frac{1}{2} x-5\right)$ is equivalent to $2\left(\frac{3}{4} x\right)+2(7)+(-3)\left(\frac{1}{2} x\right)+(-3)(-5)$

Thus, Option E is the correct answer.

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2 years ago

Write an equation in slope-intercept form that would have infinitely many solutions in a system of equations with 5x-2y=8

Snowcat [4.5K]

Answer:

y = -5/2x + 4

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2 years ago

Adding and Subtracting Rational Expressions.

n200080 [17]

A rational expression is a ratio of two polynomials. To add or subtract two rational expressions with the same denominator, we simply add or subtract the numerators and write the result over the common denominator. When the denominators are not the same, we must manipulate them so that they become the same.

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2 years ago

How do you simplify 2i<6u ?

marusya05 [52]

In simplifying inequalities, there are a few things that you have to remember. Here are some:

Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own.
But these things will change direction of the inequality:Don't multiply or divide by a variable (unless you know it is always positive or always negative)

We simplify as follows:
2i/2<6u/2
i<3u

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2 years ago

What is the greatest common factor of 15x^3y^2 and 20x^4y^4?

Vanyuwa [196]

<h3>What is the greatest common factor of 15x³y² and 20x⁴y⁴? </h3>

First we have to find the factors of 15x³y²

15x³y² = 3 * 5x³y²

Then we have to find the factors of 20x⁴y⁴

20x⁴y⁴ = 2²x¹y² * 5x³y²

Now we have to find the common factors to both numbers.

The common factors are 5x³y²

Answer : GCF = (15x³y²,20x⁴y⁴) = 5x³y²

Hope this helps!

$\textit{\textbf{Spymore}}$

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3 years ago