Find the slope of the line

Simplify:-5 1/4-(-7 1/2)

Arisa [49]

Answer:

D. 2 1/4.

Step-by-step explanation:

First, convert both -5 1/4 and -7 1/2 into improper fraction. These would be -21/4 and -15/2.

-21/4 - (-15/2)

Two negatives in a row make a positive.

-21/4 + 15/2

Double both the numerator and denominator of 15/2 to make it have the same denominator as -21/4. This would 30/4.

-21/4 + 30/4

Put -21 + 30 over 4 to make it a single fraction.

(-21 + 30)/4

Add -21 and 30 to get 9.

9/4

Convert 9/4 into a mixed number: 2 1/4

The answer to -5 1/4 - (-7 1/2) is 2 1/4, which is D.

8 0

3 years ago

A length of ribbon is cut into two pieces to use in a craft project. The graph shows the length of the second piece, x, for each

djyliett [7]

Answer:

Part A) The length of the ribbon is 15 feet

Part B) $m=-1$

Part C) see the explanation

Step-by-step explanation:

Part A)

Let

x -----> the length of the second piece of ribbon in feet

y -----> the length of the first piece of ribbon in feet

we know that

The length of the ribbon is equal to the sum of the first piece and the second piece of ribbon

so

y+x

take any point from the graph

Example

(13,2)

That means

Second piece ----> x=13 ft

First piece ----> y=2 ft

The length is (y+x)=2+13=15 ft

Part B) What is the slope of the line?

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

take the intercepts from the graph to calculate the slope

we have

(0,15) and (15,0)

substitute

$m=\frac{0-15}{15-0}$

$m=-1$

Part C) Explain what the slope of the line represents

we know that

The slope is equal to -1

That means, that we have a decreasing function, as the value of x (length of second piece) increases by one, the value of y (length of the first piece) decreases by one

The slope fits in the story because the linear equation in slope intercept form between the variable x and the variable y is equal to

$y=-x+15$

3 0

3 years ago

An economy package of cups has 720 green cups. If the green cups are 30% of the total package, how many cups are in the package?

TEA [102]

Answer:

Total number of cups in package are 2400.

Step-by-step explanation:

Given : An economy package of cups has 720 green cups.

And the green cups are 30% of the total package.

We have to find the number of total cups in the package.

Let the package contain x cups in total.

Given: green cups are 30% of the total package that is 30% of x,

Also , given package has 720 green cups.

Thus, 30% of x = 720

$30\%\times x= 720$

Solving for x, we have,

$\frac{30}{100}\times x=720\\\\\ x=720 \times \frac{100}{30}\\\\\ x=2400$

Thus, total number of cups in package are 2400.

6 0

3 years ago

Read 2 more answers

If m 1 + m 5 = 100 find the measure of 2

Mariana [72]

If the question is to answer m2, than m2≈33.34 roughly

6 0

4 years ago

Can someone please help me!!!

DedPeter [7]

I believe she would get a 90

3 0

3 years ago

Read 2 more answers