All categories

3 years ago

An inequality is shown below.

Mathematics

1 answer:

bagirrra123 [75]3 years ago

4 0

You need to break this up into 3x+9≥27 to get x≥9 and 3x+9≤-36 to get x≤-15.
The correct answer would be a

You might be interested in

Mark runs back and forth on a football field for a total of 3000 yards. How many miles did Mark run to the nearest tenth of a mi

gizmo_the_mogwai [7]

Answer:

1.7 miles.

Step-by-step explanation:

We have been given that Mark runs back and forth on a football field for a total of 3000 yards.

Since we know that 1 mile equals to 1760 yards. To find the number of miles Mark ran we will divide 3000 yards by number of yards in one mile (1760).

$\text{ Mark ran}=\frac{3000\text{ yards}}{1760\frac{\text{yards}}{\text{mile}}}$

$\text{ Mark ran}=\frac{3000\text{ yards}}{1760}\times \frac{\text{miles}}{\ext{yards}}$

After cancelling out yards from numerator and denominator we will get,

$\text{ Mark ran}=\frac{3000}{1760} \text { miles}}$

$\text{ Mark ran}=1.7045454545454545\text{ miles}}\approx 1.7\text { miles}}$

Therefore, Mark ran 1.7 miles on the football field.

5 0

3 years ago

Read 2 more answers

Multiply

Dmitriy789 [7]

Answer:

The product of given two fractions is

$\frac{4(x+2)}{(x-1)(x+3)}$

Therefore $\frac{2(2+3)}{x(x-1)}\times \frac{4x(x+2)}{10(x+3)}=\frac{4(x+2)}{(x-1)(x+3)}$

Step-by-step explanation:

Given expression is

$\frac{2(2+3)}{x(x-1)}\times \frac{4x(x+2)}{10(x+3)}$

To find the product of two given fractions as below :

$\frac{2(2+3)}{x(x-1)}\times \frac{4x(x+2)}{10(x+3)}=\frac{2(5)}{x(x-1)}\times \frac{2x(x+2)}{5(x+3)}$

$=\frac{10}{x(x-1)}\times \frac{2x(x+2)}{5(x+3)}$

$=\frac{20x(x+2)}{5x(x-1)(x+3)}$

$=\frac{20x^2+40x}{(5x^2-5x)(x+3)}$ (multiply each term in the factor to each term in the another factor )

$=\frac{20x^2+40x}{5x^3+15x^2-5x^2-15x}$ ( adding the like terms )

$=\frac{20x^2+40x}{5x^3+10x^2-15x}$

$=\frac{5x(4x+8)}{5x(x^2+2x-3)}$

$=\frac{4(x+2)}{(x-1)(x+3)}$

Therefore $\frac{2(2+3)}{x(x-1)}\times \frac{4x(x+2)}{10(x+3)}=\frac{4(x+2)}{(x-1)(x+3)}$

Therefore the product of given two fractions is $\frac{4(x+2)}{(x-1)(x+3)}$

6 0

3 years ago

A 4 wheeler that travels 52 miles on 5 gallons of gasoline. A second 4 wheeler travels 21 miles on 2 gallons of gasoline which c

nalin [4]

Answer:

The second 4 wheeler gets better mileage

Step-by-step explanation:

First 4 wheeler:

52mi - 5gal

Second 4 wheeler:

21mi - 2 gal

To compare we have to make sure everything is equal so,

5÷2 = 2.5

so,

second 4 wheeler:

21*2.5=52.5 , 2*2.5=5

52.5mi - 5gal

52<52.5

6 0

3 years ago

In a survey, 36% of the students said that they kept an electronic diary. There were 900 students who kept an electronic diary.

Rasek [7]

The answer is 25000.

4 0

3 years ago

Find the equation of the line.<br> Use exact numbers.

expeople1 [14]

Answer:

y=2/3x+4

Step-by-step explanation:

rise 2

run 3

y-intercept 4

7 0

3 years ago

Read 2 more answers