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4 years ago

Write an equation of the line in slope-intercept from?

Mathematics

1 answer:

netineya [11]4 years ago

4 0

Answer:

$y=-\frac{3}{2}x+2$

Step-by-step explanation:

This is for the first question.

Slope-intercept is:

$y=mx+b$

m - slope

b - y-intercept

We are given the slope of $-\frac{3}{2}$ and a y-intercept of 2.

Plug in the values:

$y=mx+b\rightarrow\boxed{y=-\frac{3}{2}x+2}$

Hope this helps.

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A store sold 6/1/cases of juice on Friday 4/4/5 cases of juice on Saturday. How many more cases of juice did the store sell on F

VikaD [51]

Data incomplete in question.

Question:

A store sold $6\frac{1}{5}$ cases of juice on Friday $4\frac{4}{5}$ cases of juice on Saturday. How many more cases of juice did the store sell on Friday than on Saturday?

Answer:

$1\frac{2}{5}$ cases of juice sold on Friday than on Saturday.

Solution:

Let us first change mixed fraction into improper fraction.

Number of cases sold on Friday = $6\frac{1}{5}=\frac{31}{5}$

Number of cases sold on Saturday = $4\frac{4}{5}=\frac{24}{5}$

Difference between cases sold on Friday and on Saturday

$$=\frac{31}{5}-\frac{24}{5}$

$$=\frac{31-24}{5}$

$$=\frac{7}{5}$

$$=1\frac{2}{5}$

Hence $1\frac{2}{5}$ cases of juice sold on Friday than on Saturday.

3 0

3 years ago

After substituting, what is the first step when evaluating 4y+9/7 when y=8

kenny6666 [7]

Answer:

multiply 4 and 8 to get 32

Step-by-step explanation:

After substituting, the expression is ...

4·8 +9/7

The order of operations tells you to do multiplication and division before addition and subtraction. You do them left-to-right. The multiplication on the left is 4·8, so you do that first. The result is ...

32 + 9/7

Now, you can do the division:

32 + (1 2/7)

And, finally, the addition:

33 2/7

___

Or, you could skip the division and go straight to adding a whole number and a fraction:

(32·7 +9)/7 = (224+9)/7 = 233/7

7 0

4 years ago

Find the value of x that would prove y is parallel to z. State the converse used to support your answer.

astraxan [27]

Answer:

$x = 15$

Step-by-step explanation:

By the Consecutive Interior Angles Converse, if $(3x + 7) + (10x - 22) = 180$ , then y is parallel to z.

Solve for x

$3x + 7 + 10x - 22 = 180$

Combine like terms

$3x + 10x + 7 - 22 = 180$

$13x - 15 = 180$

Add 15 to both sides

$13x - 15 + 15 = 180 + 15$

$13x = 195$

Divide both sides by 13

$\frac{13x}{13} = \frac{195}{13}$

$x = 15$

8 0

3 years ago

36) A rectangle has a length of 8 feet and a width of 6 feet. If it's length and width increases by 50% each, what is the area o

natima [27]

Increase by 50% or 1/2

8 incrased by 8/2=8+4=12

6 incrased by 6/2=6+3=9

now area=12 times 9=108

answer is D 108 ft^2

8 0

4 years ago

Read 2 more answers

How does the Earth's core get hot?

serious [3.7K]

Answer:

The interior of Earth is very hot (the temperature of the core reaches more than 5,000 degrees Celsius) for two main reasons: The heat from when the planet formed, The heat from the decay of radioactive elements.

Step-by-step explanation:

yes it does get hot

3 0

3 years ago