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3 years ago

Solve the following inequality for x. -5x<-15x+40

Mathematics

1 answer:

melisa1 [442]3 years ago

5 0

Answer:

x is less than 4

x is greater than 4

Step-by-step explanation:

-5x < -15x + 40 -5x < -15x + 40

+15x +15x -40 -40

10x < 40 -40 - 5x < -15x

÷10 ÷10 +5x +5x

× < 4 -40 < -10x

÷10 ÷10

4 < ×

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Please find the slope of (-2, 4) and (3, -5)

DIA [1.3K]

Answer:

The slope of the line = m = -9/5

Step-by-step explanation:

Given the points

(-2, 4)

(3, -5)

Determining the slope between (-2, 4) and (3, -5)

(x₁, y₁) = (-2, 4)

(x₂, y₂) = (3, -5)

Using the formula

Slope = m = [y₂ - y₁] / [x₂ - x₁]

= [-5 - 4] / [3 - (-2)]

= [-9] / [3 + 2]

= -9/5

Thus, the slope of the line = m = -9/5

8 0

3 years ago

1. Find the product. Simplify. 13/14 of 10/9. A. 15/42 B. 5/21 C. 2/7 D. 5/6 2. Andy has 5 pots, and each pot can hold 3/8 pound

Rufina [12.5K]

1) Resultant fraction: $\frac{65}{63}$

2) Total soil: $1\frac{7}{8}$ pounds

3) Result of the product: $\frac{35}{2}$

Step-by-step explanation:

In this problem, we want to find the product between the two fractions

$\frac{13}{14}$

and

$\frac{10}{9}$

In order to find this product, we have to multiply the numerators of each fraction and the denominators of each fraction. We get:

$\frac{13}{14}\cdot \frac{10}{9}=\frac{13\cdot 10}{14\cdot 9}=\frac{130}{126}$

Now we simplify, dividing both numerator and denominator by 2:

$\frac{130/2}{126/2}=\frac{65}{63}$

And the fraction cannot be further simplified.

Here we have:

n = 5 (number of pots that Andy has)

$s=\frac{3}{8}$ (amount of soil (in pounds) that each pot can contain)

In order to find the amount of soil that Andy needs to fill all the pots, we have to multiply the number of pots (n) by the amount of soil that each pot can contain (s).

If we do so, we find:

$t=n \cdot s = 5 \cdot \frac{3}{8}=\frac{5\cdot 3}{8}=\frac{15}{8}$

Which can be rewritten as a mixed fraction as:

$\frac{15}{8}=\frac{8+7}{8}=\frac{8}{8}+\frac{7}{8}=1\frac{7}{8}$

Here we want to find the result of the following product:

$4\frac{2}{3}\cdot 3\frac{3}{4}$

In order to do so, we first have to rewrite each fraction as an improper fraction.

For the 1st fraction:

$4\frac{2}{3}=\frac{4\cdot 3+2}{3}=\frac{12+2}{3}=\frac{14}{3}$

For the 2nd fraction:

$3\frac{3}{4}=\frac{3\cdot 4+3}{4}=\frac{12+3}{4}=\frac{15}{4}$

Now we can finally find the product of the two fractions:

$\frac{14}{3}\cdot \frac{15}{4}=\frac{14\cdot 15}{3\cdot 4}=\frac{210}{12}=\frac{35}{2}$

Where in the last step, we divide both the numerator and the denominator by 6.

Learn more about fractions:

brainly.com/question/605571

brainly.com/question/1312102

#LearnwithBrainly

6 0

3 years ago

A commercial aircraft gets the best fuel efficiency if it operates at a minimum altitude of 29,000 feet and a maximum altitude o

Semenov [28]

Answer:

Step-by-step explanation:

A is correct because if the minimum is 29,000 feet, x (the airplane altitutude) must be greater than or equal to 29,000 ft. Since the maximum is 41,000 feet, x must be less than or equal to that number.

6 0

2 years ago

What is the amplitude of this graph?

Alexxandr [17]

<h3>Answer: 2</h3>

The lowest point has a y coordinate of 2. The highest point has a y coordinate of 6. The difference is 6-2 = 4. Cut this in half to get 4/2 = 2 which is the amplitude. This is the vertical distance from the midline (y = 4) to either the peak point or the valley point.

5 0

3 years ago

Read 2 more answers

On the map below, all numbered streets run parallel to each other. Both 3rd and 4th streets are intersected by King Avenue.

frosja888 [35]

X=105°

Y=105°

Z=105°

let the angle below 75° which is the 4th Street be A

75°+A=180°[being adjacent angle]

A=105°

X=A[Verticall opposite angle]

Z=A[Corresponding angle]

Y=X[alternate angle]

4 0

2 years ago