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2 years ago

Which of the algebraic expressions are linear expressions? Select two answers.

Mathematics

1 answer:

cupoosta [38]2 years ago

8 0

Answer:

Option A and Option E

Step-by-step explanation:

By definition linear expressions have the following form:

$ax ^ n + b$

where

$n= 0$ or $n=1$

To answer the question, identify among the options the expressions that have this form:

Option A.

$-9y$

Where $a =-9$ and $b=0$ and $n=1$

Option E.

$-\frac{4}{5}x+\frac{3}{8}$

Where $a=-\frac{4}{5}$ and $b=\frac{4}{5}$ and $n=1$

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Darryl has written 60 percent, or 12 pages, of his history report. Darryl wants to figure out how many total pages he needs to w

Valentin [98]

Answer:

total pages = 20

Step-by-step explanation:

60% of an unknown number is 12

Let the unknown number (total pages) be x.

60/100 of x = 12

60/100 * x = 12

3/5 x = 12

x = 12 * 5/3

x = 20

8 0

2 years ago

Read 2 more answers

I need this answered Fast if possible. A car is traveling on a small highway and is either going 55 miles per hour or 35 miles

Alex787 [66]

a. It spends about 2.045 hours going 55 miles per hour

b. It spends 1 hour going 35 miles per hour

c. The trip would take about 3.64 hours

Step-by-step explanation:

A car is traveling on a small highway and is either going 55 miles per hour or 35 miles per hour, depending on the speed limits, until it reaches its destination 200 miles away

x represents the amount of time in hours that the car is going 55 miles per hour
y represents the amount of time in hours that the car is going 35 miles per hour
The equation that describing the relationship is 55x + 35y = 200

We need to find:

a. How long does it spend going 55 miles per hour, if the car spends 2.5 hours going 35 miles per hour on the trip

∵ 55x + 35y = 200

∵ The car spends 2.5 hours going 35 miles per hour on the trip

∵ y represents the amount of time that the car going 35 mi./h

∴ y = 2.5

- Substitute the value of y in the equation to find the value of x

∴ 55x + 35(2.5) = 200

∴ 55x + 87.5 = 200

- Subtract 87.5 from both sides

∴ 55x = 112.5

- Divide both sides by 55

∴ x = 2.045 hours

It spends about 2.045 hours going 55 miles per hour

b.how long does it spend going 35 miles per hour, if the car spends 3 hours going 55 miles per hour on the trip

∵ 55x + 35y = 200

∵ The car spends 3 hours going 55 miles per hour on the trip

∵ x represents the amount of time that the car going 55 mi./h

∴ x = 3

- Substitute the value of y in the equation to find the value of x

∴ 55(3) + 35y = 200

∴ 165 + 35y = 200

- Subtract 165 from both sides

∴ 35y = 35

- Divide both sides by 35

∴ y = 1 hour

It spends 1 hour going 35 miles per hour

c. How long would the trip take, if the car spends no time going 35 miles per hour

∵ 55x + 35y = 200

∵ The car spends no time going 35 miles per hour

∴ y = 0

- Substitute the value of y in the equation to find the value of x

∴ 55x + 35(0) = 200

∴ 55x = 200

- Divide both sides by 55

∴ x = 3.63 hours

The trip would take about 3.64 hours

Learn more:

You can learn more about the equations in brainly.com/question/4097107

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3 years ago

Which of the following is the quotient of the rational expressions shown here? x/x-1 / 1/x 1.

WINSTONCH [101]

The quotient of the rational expressions is $\rm \dfrac{x^2-x}{x-1}$ .

<h3>Given that</h3>

Rational Expression; $\rm \dfrac{x}{x-1}$ ÷ $\rm \dfrac{1}{x+1}$

<h3>We have to determine</h3>

Which of the following is the quotient of the rational expressions shown here?

<h3>According to the question</h3>

Rational Expression; $\rm \dfrac{x}{x-1}$ ÷ $\rm \dfrac{1}{x+1}$

Then,

The quotient of the rational expressions is,

$\rm \dfrac{x}{x-1}$ ÷ $\rm \dfrac{1}{x+1}$

$\rm =\dfrac{x}{x-1} \times \dfrac{x+1}{1}\\
\\ =\dfrac{x(x-1)}{x\times 1}\\
\\
=\dfrac{x^2-x}{x-1}$

Hence, The quotient of the rational expressions is $\rm \dfrac{x^2-x}{x-1}$ .

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2 years ago

a survey asked two age groups which summer sport they most preferred. the results are shown in the table below. which sport was

pogonyaev

Answer: Hiking was most prefered between ages 20-29

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3 years ago

Read 2 more answers

Find the area of an equilateral triangle (regular 3-gon) with the given measurement. 9-inch perimeter A = sq. in.

Alona [7]

Answer:

$3.9 in^2$

Step-by-step explanation:

The area of a triangle is given by

$A=\frac{1}{2}bh$

where

b is the base

h is the height

Here we have an equilateral triangle, which has the 3 sides of the same length.

Let's call L the length of one side.

We know that the perimeter of the triangle is

p = 9 in

The perimeter is the sum of the three sides, so:

$p=L+L+L=3L$

Therefore, we find the length of the side:

$L=\frac{p}{3}=\frac{9}{3}=3 in$

Therefore the length is the base of the triangle,

$b=L$

The height can be calculated by considering half triangle: the hypothenuse is equal to L, while one side is equal to half the base (b/2), therefore the height is given by Pythagorean's theorem:

$h=\sqrt{L^2-(\frac{b}{2})^2}=\sqrt{3^2-(\frac{3}{2})^2}=2.6 in$

Therefore, the area of the triangle is:

$A=\frac{1}{2}(3)(2.6)=3.9 in^2$

5 0

3 years ago