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2 years ago

What is the slope of the line that passes through the points (0,-7) and (-4,3)

Mathematics

1 answer:

erastova [34]2 years ago

4 0

Answer:

Step-by-step explanation:

To find slope you have to take y2-y1 over x2-x1

y2=your second y poiny

y1=first y point

x2=second x point

x1=first x point

Since it is minus a negative you get to change it to a plus sign, because they cancel each other out.

3 + 7

____

-4-0

10/-4

This isn't quite simplified, so you find a common factor for the numerator (top number) and the denominator (bottom number). You should note the number has to go into both numbers, not just one. The largest common factor would be 2 in this case.

10/2=5

-4/2=-2

Now your simplified answer would be 5/2

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Emily was offered a job after college earning a salary of $35,000. She will get a raise

Svetlanka [38]

Answer:

Step-by-step explanation:

Salary offered to Emily after college = $35000

Rise in her salary = $2000 every year

Let she works for x years in the company,

Salary rise in her salary = $2000x

Total salary after x years = $(35000 + 2000x)

The independent variable x represents NUMBER OF YEARS and dependent variable is the TOTAL SALARY,because the SALARY depends on the NUMBER OF YEARS WORKED.

A function these variables is C(x) = 35000 + 2000x

So, C(4) = 35000 + 2000(4) = 43000, meaning 4 years later Emily will earn a salary $43000.

3 0

2 years ago

Does anyone know the answer to this scale and unit conversion GED math problem? Thank you very much!

aliya0001 [1]

Answer:

Flour $5\dfrac{1}{2}\ c$

Sugar $2\dfrac{2}{3}\ c$

Butter $1\dfrac{1}{2}\ c$

Eggs $2$

Baking powder $7\ t$

Vanilla extract $3\ t$

Step-by-step explanation:

There will be 16 people at the party. Each person will eat 3 cookies, so all people will eat $16\cdot 3=48$ cookies.

Given cookie recipe makes 24 cookies, so to make 48 cookies you need

$48:24=2$ portions.

Thus,

1 portion 2 portions

Flour $2 \dfrac{3}{4}\ c$ $2\dfrac{3}{4}\cdot 2=2\cdot 2+\dfrac{3}{4}\cdot 2=4+\dfrac{3}{2}=4+1 \dfrac{1}{2}=5\dfrac{1}{2}\ c$

Sugar $1\dfrac{1}{3}\ c$ $1\dfrac{1}{3}\cdot 2=1\cdot 2+\dfrac{1}{3}\cdot 2=2+\dfrac{2}{3}=2\dfrac{2}{3}\ c$

Butter $\dfrac{3}{4}\ c$ $\dfrac{3}{4}\cdot 2=\dfrac{3}{2}=1\dfrac{1}{2}\ c$

Eggs $1$ $1\cdot 2=2$

Powder $3\dfrac{1}{2}\ t$ $3\dfrac{1}{2}\cdot 2=3\cdot 2+\dfrac{1}{2}\cdot 2=6+1=7\ t$

Vanilla $1\dfrac{1}{2}\ t$ $1\dfrac{1}{2}\cdot 2=1\cdot 2+\dfrac{1}{2}\cdot 2=2+1=3\ t$

8 0

3 years ago

A hotel charges $90 per day for a double room $80 per day for a single room. If a total of 80 single and double rooms are occupi

SashulF [63]

Answer:

the number of single room is 27 and the number of double room is 53

Step-by-step explanation:

Let x is the number of single room

Let y is the number of double room

We know that:

x + y = 80 <=> x = 80 -y (1)

80x +90y= 6930 (2)

Substitute (1) in (2) we have:

80 (80 - y) + 90y = 6930

<=> 6400 - 80y +90y = 6930

<=> y = 53

> x = 80 - 53 = 27

the number of single room is 27 and the number of double room is 53

4 0

2 years ago

A kangaroo hops 2 kilometers in 3 minutes. At this rate, how far does the kangaroo travel in 2 minutes? *

Dmitrij [34]

Answer:

At a speed of 2 km every 3 minutes, in 2 minutes the kangaroo would travel 1,333 km.

Step-by-step explanation:

If a kangaroo hops 2 kilometers in 3 minutes, to calculate how much distance this animal hops in 2 minutes, the following calculation should be performed:

2 km / 3 min = 0.666 km per minute (2/3 x 2)

0.666 km per minute x 2 minutes = 1.333 kilometers in 2 minutes (0.666 x 2)

Therefore, at a speed of 2 km every 3 minutes, in 2 minutes the kangaroo would hop 1,333 km.

5 0

2 years ago

What is the chance of making 5 free throws in a row with a 50% free throw percentage

ANTONII [103]

You can make it with 10 because 10%times 5% is 50%

8 0

3 years ago

Read 2 more answers