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riadik2000 [5.3K]
3 years ago
14

Marla filled up her car's gas tank and then went on a trip. After she drove 329 miles, she filled her tank with 14 gallons of ga

s. If she drove the same number of miles on each gallon of gas, how many miles per gallon did she drive?
Mathematics
1 answer:
romanna [79]3 years ago
6 0

Answer:

23 1/2 miles per gallon

Step-by-step explanation:

We start with dividing 329 miles with 14 gallons because it asks to find the number of miles on each gallon of gas -

          Miles

-----------------------------     =

Each gallon of gas

329 ÷ 14 = 23 1/2 miles per gallon

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Jerald jumped from a bungee tower. If the equation that models his height, in feet, is h = –16t2 + 729, where t is the time in s
Snezhnost [94]

Answer. First option: t > 6.25


Solution:

Height (in feet): h=-16t^2+729

For which interval of time is h less than 104 feet above the ground?

h < 104

Replacing h for -16t^2+729

-16t^2+729 < 104

Solving for h: Subtracting 729 both sides of the inequality:

-16t^2+729-729 < 104-729

-16t^2 < -625

Multiplying the inequality by -1:

(-1)(-16t^2 < -625)

16t^2 > 625

Dividing both sides of the inequality by 16:

16t^2/16 > 625/16

t^2 > 39.0625

Replacing t^2 by [ Absolute value (t) ]^2:

[ Absolute value (t) ]^2 > 39.0625

Square root both sides of the inequality:

sqrt { [ Absolute value (t) ]^2 } > sqrt (39.0625)

Absolute value (t) > 6.25

t < -6.25 or t > 6.25, but t can not be negative, then the solution is:

t > 6.25



5 0
3 years ago
Read 2 more answers
Find the equation of the line. <br><br> GIVING BRAINIEST TO WHOEVER HELPS ME AND GETS IT RIGHT!!!
Anestetic [448]

Answer:

y= -3x + 7

Step-by-step explanation:

y intercept= 7

slope= -3

3 0
3 years ago
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What is the perimeter of ΔABC?
Serggg [28]

Answer:

Choice D:  Perimeter = 5 + \sqrt{65} +  \sqrt{34}  units

Step-by-step explanation:

point B(9, 2)  , point C(4, 5),  point A (1,1)

Perimeter = D( A, C)  + D (A, B)  + D (B, C)

where D (A, C) =  distance between A and C

so...

D(A, C) = root ( (4 - 1)^2 + (5 - 1)^2) = 5   from a 3-4-5 right triangle.

D(A, B) = root( (9- 1)^2 + (2 -1)^2) = root( 64 + 1) = root(65)

D(B, C) = root( (9 -4)^2 + (2 -5)^2) = root (25 + 9) = root(34)

Perimeter = 5 + root(65) + root(34)

Perimeter = 5 + \sqrt{65} +  \sqrt{34}  units

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3 years ago
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Tcecarenko [31]
Huh. What about it??
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3 years ago
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A famous painting was purchased for $560,000 in the year 2021. The value has been increasing by $8,000 per year.
yarga [219]

The price of a painting in the year 2022 will be $ 568,000.

<h3>What is inflation?</h3>

A rise in the amount of a certain product or service is known as inflation.

Given data;

Cost of painting in the year 2021, P₁ = $560,000

Cost of painting in the year 2022, P₂ =?

The amount increases every year,x = $8,000

The cost of painting in the year 2022 is found as;

P₂ = P₁ + x

P₂= $560,000 + $8,000

P₂ = $ 568,000

Hence the price of a painting in the year 2022 will be $ 568,000.

To learn more about inflation refer;

brainly.com/question/19263433

#SPJ1

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2 years ago
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