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andre [41]
3 years ago
11

Mr. Curtis paid $48.51 for 12.6 gallons of gas. What is the price of one gallon of gas?

Mathematics
2 answers:
ra1l [238]3 years ago
5 0
He paid 3.85 per gallon of gas.
qaws [65]3 years ago
3 0

Answer:

$3.85 per gallon

Step-by-step explanation:

48.51÷12.6=3.85

3.85x12.6=48.51

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3. A kite is aloft at the end of a 1500 foot string. The string make an angle of 43° with the
sineoko [7]

Answer:

h= 1500\,*\,sin(43^o)

Step-by-step explanation:

Notice that there is a right angle triangle formed with sides as follows:

hypotenuse is the actual 1500 ft string. The acute angle 43 degrees is opposite to the segment that represents the height of the kite from the ground. Therefore, the trigonometric ratio that we can use to find that opposite side to the given angle, is the sine function as shown below:

sin(43^o) = \frac{opposite}{hypotenuse} \\sin(43^o) = \frac{opposite}{1500}\\opposite = 1500\,*\,sin(43^o)\\h= 1500\,*\,sin(43^o)

8 0
3 years ago
A researcher asks participants to estimate the calories they consume in a meal. The researcher records the following estimates:
aleksley [76]

Answer:

Increase

Step-by-step explanation:

The researcher records the following estimates: 450, 426, 310, 500, and 220.

The mean of these estimates is derived below.

Mean = (450+426+310+500+220)/5

=1906/5=381.2

If the researcher removes the estimate of 220.

The mean of the other numbers will be:

Mean =(450+426+310+500)/4

=1686/4=421.5

By comparison of the two mean, we can see that the value of the mean will increase.

3 0
3 years ago
If Archie has 100 balls, and 39 of those are tennis balls, what percent of the total balls are tennis balls?
docker41 [41]
39/100=0.39

0.39*100=39

%39
6 0
3 years ago
Find the midpoint of the line segment with the given endpoints. 1) (-4, -9), (-6, -6)
weeeeeb [17]

Answer:

The answer is

<h2>( - 5 \: , \:  -  \frac{15}{2} )</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a given line segment can be found by using the formula

<h3>M = ( \frac{x1 + x2}{2}  , \frac{y1 + y2}{2} )</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-4, -9), (-6, -6)

The midpoint is

<h3>M = ( \frac{ - 4 - 6}{2}  , \:  \frac{ - 9 - 6}{2} ) \\  = ( -  \frac{10}{2} , -  \frac{15}{2} )</h3>

We have the final answer as

<h3>( - 5 \: , \:  -  \frac{15}{2} )</h3>

Hope this helps you

8 0
3 years ago
What is the solution to this equation? 8(e)^2x+1 = 4
Anettt [7]
X= 3/8e^2
I hope this is what you were looking for if not I can’t find a different solution
5 0
3 years ago
Read 2 more answers
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