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yulyashka [42]
3 years ago
7

Yesterday, Jack drove 44 1/2 miles. He used 1 1/4 gallons of gasoline. What is the unit rate for miles per​ gallon?

Mathematics
2 answers:
lisov135 [29]3 years ago
8 0
35.6 miles per gallon
stepan [7]3 years ago
7 0
<span>44.5/1.25 = 35.6
44.5 = 44 1/2 miles he drove
divided by the amount of gallons of gas he used (1.25) 
which equals 35.6 miles per gallon</span>
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Look at the table to answer the question.
Alexus [3.1K]

Answer:

Your power function is  y=-2x^{2}

Step-by-step explanation:

The way I found it was.

0=0,  so, the function multiply by zero, and have no other term to add

A number (one in a case) gives as a result: -2.  So, one, elevated to ANY power results in one, every time. So, I have 1, as a factor and -2 as a result. One is as well a factor that delivers a result equal to the other factor. (3)(1)=3 , (8987)(1)=8987. So, the other factor must be -2

Then I checked all the table, and the results were consistent.


5 0
3 years ago
A cone has a height 25 ft and a radius of 7 ft. Is a reasonable that the volume of this cone is 100 ft3? Why or why not?​
Nostrana [21]

Answer:

No

Step-by-step explanation:

the radius squared is 49 times π, which is roughly 3 means the area of the base is roughly 150 ft².

This means that one third of the height cannot be more than 100 / 150 = 2/3 of a foot. That makes the height about 2 ft, much less than the reported 25 ft.

3 0
3 years ago
A small telescope magnifies
WARRIOR [948]

The observatory telescope has 22 times the magnifying power compared to the small telescope.

Data;

  • small telescope = 150 times
  • large telescope = 3300

<h3>Division of Numbers</h3>

To solve this question, we have to divide the large telescope by the small telescope to calculate it's magnifying power.

x = \frac{3300}{150}=22

The magnification of the observatory telescope is 22 times greater or larger than the small telescope.

Learn more on division of numbers here;

brainly.com/question/7068223

4 0
2 years ago
Use the graph to answer the questions help!
max2010maxim [7]

Answer:

0; 2; 6; 0 or -1

Step-by-step explanation:

If the question says "f(a)=" they are asking for the y value with the given x such as the two first ones.

If it's "f(x)=a than x=" they are asking you what x is when the (bolded) x is a given value.

5 0
3 years ago
The table shows the average annual cost of tuition at 4-year institutions from 2003 to 2010.
nata0808 [166]

Answer: 1) The best estimate for the average cost of tuition at a 4-year institution starting in 2020 =$ 31524.31

2) The slope of regression line b=937.97 represents the rate of change of  average annual cost of tuition at 4-year institutions (y) from 2003 to 2010(x).  Here,average annual cost of tuition at 4-year institutions is dependent on school years .

Step-by-step explanation:

1) For the given situation we need to find linear regression equation Y=a+bX for the given situation.

Let x be the number of years starting with 2003 to 2010.

i.e. n=8

and y be the average annual cost of tuition at 4-year institutions from 2003 to 2010.  

With reference to table we get

\sum x=36\\\sum y=150894\\\sum x^2=204\\\sum xy=718418

By using above values find a and b for Y=a+bX, where b is the slope of regression line.

a=\frac{(\sum y)(\sum x^2)-(\sum x)(\sum xy)}{n(\sum x^2)-(\sum x)^2}=\frac{150894(204)-(36)718418}{8(204)-(36)^2}=\frac{30782376-25863048}{1632-1296}=\frac{4919328}{336}\\\\=14640.85

and

b=\frac{n(\sum xy)-(\sum x)(\sum y)}{n(\sum x^2)-(\sum x)^2}=\frac{8(718418)-(36)150894}{8(204)-(36)^2}=\frac{5747344-5432184}{1632-1296}=\frac{315160}{336}\\\\=937.97


∴ To find average cost of tuition at a 4-year institution starting in 2020.(as n becomes 18 for year 2020 if starts from 2003 ⇒X=18)

So, Y= 14640.85 + 937.97×18 = 31524.31

∴The best estimate for the average cost of tuition at a 4-year institution starting in 2020 = $31524.31


4 0
3 years ago
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