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Murrr4er [49]
3 years ago
13

Which graph shows a rate of change of 1/2 which is a fraction between –4 and 0 on the x-axis?

Mathematics
2 answers:
irakobra [83]3 years ago
6 0

By definition, we have that the average rate of change is given by:

AVR = \frac{y2-y1}{x2-x1}

Substituting values we have:

AVR = \frac{3-1}{0-(-4)}

Rewriting we have:

AVR = \frac{2}{0+4}

AVR = \frac{2}{4}

AVR = \frac{1}{2}

Therefore, the graph that has an AVR of 1/2 is the graph of the linear function.

Answer:

graph shows a rate of change of 1/2 is the linear function

andriy [413]3 years ago
4 0
It should be the one all the way on the right side because its rate of change goes up 1 and over 2
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How many L of an 85% alcohol solution must be mixed with 6 L of a 55% alcohol solution to make a 65% solution?
zepelin [54]

Answer:

3 Liters of the 85% Solution

Step-by-step explanation:

You have to draw your buckets. I can't on computer so imagine the fraction bar is the bottom of the buckets.

\frac{85}{x}+\frac{55}{6}=\frac{65}{x+6}

Then we multiply the top of the buckets with the bottom:

85x+330=65x+390

Now we simplify and solve

20x=60

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You need 3 liters of the 85% solution!

4 0
3 years ago
Find the markup and the selling price of the following item. Round answers to the nearest cent. A chemistry set costing $27.50,
postnew [5]

Let x be marked up price. We have been given that a chemistry set costing $27.50, marked up 32% on cost.

x=27.50\times\frac{32}{100}

x=27.50\times.32

x=8.8

Therefore, mark up price is $8.80.  

Since we know that selling price of any item equals the sum of cost and mark-up price of the item.

Let us find selling price of our chemistry set.  

\text{Selling price of chemistry set}=27.50+8.8

\text{Selling price of chemistry set}=36.30      

Therefore, the selling price of the chemistry set is $ 36.30.

5 0
3 years ago
Read 2 more answers
What percent of the June budget was for babysitting and movies (to the nearest tenth)?
Aleonysh [2.5K]
The monthly expenses are found below:


Mortgage - $752 Tim's Chevron - $23Johnny's Allowance - $8Electric - $176Jenny-babysitting - $12Movie - $14Dry Cleaning - $41Tithe - $85,Credit Card - $150Food - $101Phone - $45Water - $16 Car - $272 


Adding all the expenses, will give us a total of $1695.
 
To get the percent which is allocated for movie and the baby sitting:


Add the amount for the two then divide that to the total then multiply it by 100%
= 12 + 14 / 1695 x 100%
= 26 / 1695 x 100%
= 0.015339233 x 100%

=1.5%
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3 0
3 years ago
How many raisins are left in a jar of 37 raisins after you have eaten some? The equation _______ best models this situation. A.
nordsb [41]

Answer:

D

Step-by-step explanation:

if you have 37 and however many you eat you subtract from that 37 giving you R

4 0
3 years ago
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