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sesenic [268]
2 years ago
11

Two hot air balloons are traveling along the same path away from a town, beginning from different locations at the same time. He

nry's balloon begins 25 miles from town and is 37 miles from the town after 2 hours. The distance of Tasha's balloon from the town is represented by the function y = 7x + 15.which balloon was farther from the town at the beginning, and which traveled more quickly?
Mathematics
1 answer:
Vilka [71]2 years ago
3 0

Answer:

25555

Step-by-step explanation:

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Which of the following is equal to the expression (8x)^-2/3 (27x)¯1/3
LiRa [457]

The equivalent expression of (8x)^-2/3 * (27x)^-1/3 is 1/12x

<h3>How to evaluate the expression?</h3>

The expression is given as:

(8x)^-2/3 * (27x)^-1/3

Evaluate the exponent 8^-2/3

(8x)^-2/3 * (27x)^-1/3 = 1/4(x)^-2/3 * (27x)^-1/3

Evaluate the exponent (27x)^-1/3

(8x)^-2/3 * (27x)^-1/3 = 1/4(x)^-2/3 * 1/3(x)^-1/3

Multiply 1/4 and 1/3

(8x)^-2/3 * (27x)^-1/3 = 1/12(x)^-2/3 * (x)^-1/3

Evaluate the exponent

(8x)^-2/3 * (27x)^-1/3 = 1/12(x)^(-2/3 -1/3)

This gives

(8x)^-2/3 * (27x)^-1/3 = 1/12(x)^(-1)

So, we have

(8x)^-2/3 * (27x)^-1/3 = 1/12x

Hence, the equivalent expression of (8x)^-2/3 * (27x)^-1/3 is 1/12x

Read more about equivalent expression at

brainly.com/question/2972832

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3 0
9 months ago
A cone has a volume of 314 cubic millimeters and a height of 12 millimeters. What is its
Hoochie [10]

Answer:

5mm

Step-by-step explanation:

using the formula of volume of cone i.e. 1/3 ×πr²h

1/3 × πr²h = 314

or, r²= (314×3)/ (π×h)

or, r² = 25

r= 5 mm

7 0
3 years ago
Find the unit rate. <br><br> $121.50 for working 18 hours
Monica [59]
6.75 per hour
121.50/18 = 6.75
7 0
3 years ago
Read 2 more answers
A garage sells 12 different models of a car in 9 different colours.
fomenos

Answer:

108

Step-by-step explanation:

12 x 9 =108

7 0
3 years ago
Read 2 more answers
Two runners one averaging 5 miles per hour and the other one averaging 4 miles per hour, start at the same place and run along t
Vikentia [17]

Answer:

The Distance cover by both the Runners is same = 10 miles  

Step-by-step explanation:

According to question ,

The Speed of first runners (S 1) = 5 miles per hour

The speed of second runners (S 2)  = 4 miles per hour

Let The Time taken by First runner (T 1 ) = T hour

But the second runner  arrives half hour after the first runner ,

I.e The Time taken by Second runner (T 2) = ( T + \frac{1}{2} )

Now from Distance = Speed × Time

Since both the runners start from same place and run along the same trail

SO ,Both the Distance cover by both are same , D 1 = D 2

i.e Speed 1 × Time 1 = Speed 2 × Time 2

    5 mph × T            =  4 mph   ×  ( T + \frac{1}{2} )

    5 T =  4 T + ( 4 × \frac{1}{2} )

Or,  5 T - 4 T = 2

∴       T    =  2 hour  ,

Time take by first = T1 = T = 2 hour

Time take by second = T2 = T + \frac{1}{2} = (2  +  \frac{1}{2} )hour = \frac{5}{2}

Now the Distance cover = Speed × Time

              Distance   (D1)          = 5 mph  × 2 hour = 10 mile

And        Distance    (D2)         =  4 mph  × \frac{5}{2} = 10 miles

Hence, As The Distance cover by both the Runners is same = 10 miles  Answer

5 0
3 years ago
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