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Dominik [7]
3 years ago
7

Lily's car used 2 gallons of gas to drive 52 miles. At what rate does her car use gas in miles per gallon? Express your answer i

n simplest form.
Mathematics
2 answers:
ANTONII [103]3 years ago
7 0

Answer:

Step-by-step explanation:

The answer is 26 because your finding the rate therfore your trying to find the rate of 1.

Step by step:

52÷2

26

sergejj [24]3 years ago
6 0

Answer:

26 mpg

Step-by-step explanation:

We want to find the unit rate "mpg."

Start with:

52 miles

---------------- and simplify this; it comes out to 26 mpg

2 gallons

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Put the following equation of a line into slope-intercept form, simplifying all fractions.
Komok [63]

Answer:

y  =  2 x  +  9

Step-by-step explanation:

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7 0
3 years ago
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The angles in a triangle are represented by 5x, 8x, and 2x+9. What is the value of x?
Ahat [919]

Answer:

x = 11.4

Step-by-step explanation:

The sum of the angles of any triangle must add up to 180°.  Since we have the expressions for each angle:  5x, 8x, and (2x +9), we can solve for the variable of 'x' by adding the expressions together and setting them equal to 180:

5x + 8x + (2x +9) = 180

Combine like terms:  15x + 9 = 180

Use inverse operations: 15x + 9 - 9 = 180 - 9

                                                     15x = 171  or x = 11.4

Check:  5(11.4) + 8(11.4) + 2(11.4) + 9 = 57 + 91.2 + 22.8 + 9 = 180

8 0
3 years ago
There are 135 people in a sport centre. 73 people use the gym. 59 people use the swimming pool. 31 people use the track. 19 peop
wlad13 [49]

Answer:

Probability that the person doesn't use any facility = 0.0889

Step-by-step explanation:

Total number of people in a sports center = 135

Number of people using gym 'G' = 73

Number of people using swimming pool 'P' = 59

Number of people using track 'T' = 31

Number of people using gym and pool (G∩P) = 19

Number of people using pool and track (P∩T) = 9

Number of people using gym and track (G∩T) = 16

Number of people using all three facilities (G∩P∩T) = 4

Therefore, from the rule of compound probability,

P(GUPUT) = P(G) + P(P) + P(T) - P(G∩P) - P(G∩T) - P(P∩T) + p(G∩P∩T)

We know probability of an event = \frac{\text{Favorable event}}{\text{Total outcomes}}

We will plug in the values of probabilities of each event in the formula.

P(GUPUT) = \frac{73}{135}+\frac{59}{135}+\frac{31}{135}-\frac{19}{135}-\frac{9}{135}-\frac{16}{135}+\frac{4}{135}

                 = \frac{1}{135}(73+59+31-19-9-16+4)

                 = \frac{123}{135}

And probability that a person doesn't use any facility = 1 - P(GUPUT)

= 1 - \frac{123}{135}

= \frac{135-123}{135}

= \frac{12}{135}

= \frac{4}{45} ≈ 0.0889

7 0
3 years ago
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Both of her pets eat 11.25lbs of food in a week
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If xy- 3y²= 15 ,find the value of x when y=2
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Answer:

X=13.5

Step-by-step explanation:

Y=2 so

2x-3*2^2=15

2x-12=15

2x=27

X=13.5

5 0
3 years ago
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