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V125BC [204]
4 years ago
7

Problem 1

Mathematics
1 answer:
Colt1911 [192]4 years ago
5 0

Answer:

  120 gallons

Step-by-step explanation:

For questions like this, it is convenient to determine a ratio with the number of minutes being 1. We know that gallons are proportional to minutes, so if we divide minutes by 3 (to get 1 minute), we also divide gallons by 3 (giving 12 gallons).

Similarly, we can multiply both gallons and minutes by the same value. Multiplying the above result by 10, we get 120 gallons in 10 minutes.

  36 gal : 3 min

= 12 gal : 1 min . . . . . . divide above by 3

= 120 gal : 10 min . . . . multiply previous by 10

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Help please, need help
iren2701 [21]

Answer:

Step-by-step explanation:

B) Small triangle:

height = 20 - 15 = 5

base = 1

height to base =  5 :1

Medium triangle :

height = 60 -30 = 30

base = 2

height to base =  30 :2  = 15 :1

Large triangle:

height = 120 - 60 = 60

base = 4

height to base =  60 : 4 = 15 : 1

c) The ratios are same. This is true because wage and working hours are in direct proportion.

E) Take any two points. (1 , 15) & (2 , 30). Find the slope.

Slope = Change in y ÷ change in x

 m = (30-15) ÷ (2 -1) = 15/1 = 15

y -y1 = m(x -x1)

y - 15 = 15(x - 1)

y - 15 = 15x - 15

y = 15x - 15 + 15

y = 15x

6 0
3 years ago
Read 2 more answers
What is 7 5/12 written in decimal
noname [10]

The answer is 7.41666667

Step-by-step explanation:

7 5/12= 89/12

Divide

=7.466666666667

8 0
4 years ago
A homeowner wants to build a circular patio. if the diameter of the patio is 20 feet, what is its area to the nearest whole numb
andreyandreev [35.5K]
We are asked to find the area of patio. It is circular so formula used for area is given by:
A= r^{2}  \pi
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r = radius = diameter / 2 = 20 / 2 = 10 feet

A = 10^{2} \pi =100 \pi
When we round this to the nearest whole number:
A =100 \pi = 314.159=314ft^{2}
5 0
4 years ago
Think About the Process A ticket to see your favorite baseball team costs $32.77. That price
max2010maxim [7]

Answer:

C = 32.77 - 0.22L

after 31 games:

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8 0
3 years ago
A line goes through the point (–4,–2) and has an x-intercept of –1.
Nady [450]

Answer:

(5,4)

Step-by-step explanation:

thanks to the second information we know that a certain second point of the line is (-1,0)

Now we can use a formula to find the equation of the line, that is

(y-y1)/(y2-y1) = (x-x1)/(x2-x1) where x and y 1 and 2 are the coordinates of the points.

(y+2)/2 = (x+4)/(-1+4)

y+2/2 = (x+4)/ 3

3y+6 = 2x+8

2x-3y+2 = 0

now we have to find the point that make true the equation (we have to sobstitute x and y with the coordinates of the given points)

1)  -12 +15 + 2 = 0 ; 3 = 0 (wrong)

2) 6-4+2 = 0 ; 4 = 0 (wrong)

3) 8-15+2 = 0 ; -5 = 0 (wrong)

4) 10-12+2 = 0 ; 0=0 (true)

so (5,4) is the correct answer

4 0
3 years ago
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