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vlada-n [284]
3 years ago
11

Which value of m makes the statement true? 92-2m ≤7+3m A) 12 B) 17 C) 7 D) 9

Mathematics
2 answers:
Mama L [17]3 years ago
5 0

The answer is 17 or B

vlabodo [156]3 years ago
3 0

Answer:

\boxed{\bold{17}}

Step By Step Explanation:

Subtract 92 From Both Sides

\bold{92-2m-92\le \:7+3m-92}

Simplify

\bold{-2m\le \:3m-85}

Subtract 3m From Both Sides

\bold{-2m-3m\le \:3m-85-3m}

Simplify

\bold{-5m\le \:-85}

Multiply Both Sides By -1 (Reverse Inequality)

\bold{\left(-5m\right)\left(-1\right)\ge \left(-85\right)\left(-1\right)}

Simplify

\bold{5m\ge \:85}

Divide Both Sides By 5

\bold{\frac{5m}{5}\ge \frac{85}{5}}

Simplify

\bold{m\ge \:17}

- Mordancy

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Step-by-step explanation:

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3 years ago
The area of a rectangle is found by multiplying the length by the width: A = lw. A certain rectangle has an area of x2 + 7x + 12
kupik [55]

Answer:

Option C is correct

l = x+4 unit and w = x+3 unit

Step-by-step explanation:

Area of a rectangle is given by:

A =lw           ....[1]

where

A is the area of rectangle

l is the length of a rectangle

w is the width of a rectangle.

As per the statement:

A certain rectangle has an area of x^2 + 7x + 12

⇒A = x^2+7x+12

Now factor this trinomial :

A = x^2+4x+3x+12

⇒A = x(x+4)+3(x+4)

⇒A=(x+4)(x+3) unit square

On comparing with [1] we have;

l = x+4 unit and w = x+3 unit

Therefore,the length and width of the rectangle are:

l = x+4 unit and w = x+3 unit

7 0
4 years ago
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harina [27]
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3 years ago
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The function V(r)=4/3 nr3 can be used to find the volume of air inside a basketball given its radius. What does V(r) represent?​
denis-greek [22]

Answer:

V(r) represent the volume of air inside a basketball in cubic units for a given radius r in units

Step-by-step explanation:

we have the function

V(r)=\frac{4}{3}\pi r^{3}

where

V is the volume of a sphere (dependent variable or output function)

r is the radius of the sphere (independent variable or input variable)

therefore

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Viktor [21]

Answer: c) increase

Step-by-step explanation:

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As the sample size increases it comes closer to the population size, and so converge to a better result of researcher's analysis.

It means the size of the sample is proportional to the power of their statistical tests.

∴ As the size of the sample increases the power of statistical test increases.

Hence, If a research team increases the sample size for a study, the power of their statistical tests will <u>increases</u>.

Therefore , the correct answer is : c) increase

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