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Citrus2011 [14]
3 years ago
10

Rick's car gets 29.7 miles per gallon of gasoline when driving on the highway. If his fuel tank holds 10.45 gallons of gasoline,

then how far can he travel on one full tank of gasoline?
Mathematics
1 answer:
Kazeer [188]3 years ago
7 0

Answer:

310.365 miles

Step-by-step explanation:

10.45*29.7=310.365

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Solve the equation x + 0.7 = 1 - 0.2x in two different ways.Then check your answer.Show your work!
expeople1 [14]
Simplifying
x + 0.7 = 1 + -0.2x

Reorder the terms:
0.7 + x = 1 + -0.2x

Solving
0.7 + x = 1 + -0.2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '0.2x' to each side of the equation.
0.7 + x + 0.2x = 1 + -0.2x + 0.2x

Combine like terms: x + 0.2x = 1.2x
0.7 + 1.2x = 1 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
0.7 + 1.2x = 1 + 0.0
0.7 + 1.2x = 1

Add '-0.7' to each side of the equation.
0.7 + -0.7 + 1.2x = 1 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + 1.2x = 1 + -0.7
1.2x = 1 + -0.7

Combine like terms: 1 + -0.7 = 0.3
1.2x = 0.3

Divide each side by '1.2'.
x = 0.25

Simplifying
x = 0.25

I only know 1 way.
6 0
3 years ago
Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 47.3 m
Harlamova29_29 [7]

Answer:

47.4167

D. The computed mean is close to the actual mean because the difference between the means is less than 5%

Step-by-step explanation:

Given the distribution :

Speed(m/hr) ___ midpoint(x) ___ F ___fx

42 - 45 _______ 43.5 ________21 __ 913.5

46 - 49 _______47.5 _________15 __712.5

50 - 53 _______ 51.5 _________6 __ 309

54 - 57 _______ 55.5 ________ 4 ___ 222

58 - 61 ________59.5 ________ 2 ___ 119

The midpoint, x= sum of lower and upper boundary divided by 2

For instance, (42 + 45) / 2 = 43.5

The computed mean, Σfx / Σf = 2276 / 48 = 47.4167

Actual mean = 47.3 miles

(47.4167 - 47.3) / 47.3 * 100% = 0.24%

6 0
3 years ago
What is the area of a trapezoid that has base lengths of 17 inches and 25 inches and a height of 14 inches?
gulaghasi [49]

Answer:

294

Step-by-step explanation:

4 0
3 years ago
BRAINLIEST! PLEASE HELP, ON A TIMER!
frozen [14]

There 6 possible outcomes for a roll of a die. So if there are two dice, then it's 6\cdot6=36

5 0
3 years ago
. If y varies directly with x, and y = -35 and x=7, what is x when y = -85?
sertanlavr [38]

Answer:

x = 17

Step-by-step explanation:

Direct variation is given by

y = kx  where k is the constant of variation

-35 = k*7

-35/7 = k

-5 = k

y = -5x

We know y = -85

-85 = -5x

Divide each side by -5

-85/-5 = x

17 =x

3 0
3 years ago
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