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Arisa [49]
2 years ago
6

the ratio of the length of shantels pool to the length of juan's pool is 3 to 5 shantels pool is 30 meters how long is Juan’s po

ol
Mathematics
1 answer:
love history [14]2 years ago
3 0

Step-by-step explanation:

the ratio of the pool lengths is 3/5.

that means for every 3 meters of length on Shantel's pool, there are 5 meters of length on Juan's pool.

it the other way around : to get to the size of Shantel's pool, every 5 meters of length on Juan's pool are converted to 3 meters.

x = length of Juan's pool

x × 3/5 = 30

3x = 150

x = 50 meters

you see the relationship ?

3/5 = 30/50 = 300/500 = ...

but it is true for any factor

3/5 = 15/25 = 24/40 = 6/10 = ...

once you see the factor for one part of the ratio, you know there is the same factor for the other part (or parts) of the ratio. otherwise the ratio would not stay the same and keep the relationship.

You might be interested in
The ratio of white flour to whole wheat flour in a bread recipe is 2:3. The recipe uses 10 cups of flour. How much of each type
lesantik [10]
This means that 2/5 is white and 3/5 is whole wheat, so 2/5 of 10=4 cups of white, 3/5 of 10=6 cups of whole wheat.
8 0
3 years ago
Identify an equation in slope intercept form for the line parallel to Y equals 4X -9 that passes through (-5,3)
Kobotan [32]

Slope intercept form of a line is y=mx+b where m= slope and b=y-intercept.

Now compare this form with the tiven equation y=4x-9 to get the value of m.

So, m= 4.

Slope of all parallel lines are always equal. Which means the line which is parallel to this has also the same slope: m=4.

Now we need to find the value of b to get the equation. That parallel line passes through (-5,3).

The point intercept form of a line is,

(y-y1)=m(x-x1)

So, we can plug in the m=4, x1=-5 and y1=3 in the above equation. Hence,

y-3=4(x-(-5))

y-3=4(x+5) Since -(-5)=+5

y-3=4x+20 By distributing property.

y=4x+20+3 Adding 3 to each sides.

y=4x+23

So, the slope-intercept form of that parallel line is y=4x+23.

7 0
3 years ago
Naomi earned $840 for working 40 hours last week. How much will she get paid this week if she only works 30 hours assuming she g
zloy xaker [14]

Answer:

Naomi will get paid $630 if she only works 30 hours this week.

Step-by-step explanation:

You divide 840 by 40 to see how much you get paid per hour.

Once you do that you get $21 per hour.

You multiply 21 by 30 to know how much you'd be paid for working 30 hours.

You get your final answer which is $630.

3 0
3 years ago
What is the volume of the cylinder below?
lisov135 [29]

Answer:

192π

Step-by-step explanation:

cylinder volume is base times height

2πr^2 = base = 64π

height = 3

64π*3 = 192π

5 0
2 years ago
Keeping in mind the rules for significant figures, determine how many milliliters there are in 0.073 gallons. 1 gallon = 4 quart
andreev551 [17]

we are given

there are in 0.073 gallons

we can see that there are two non-zero places after decimals

so, there are two siginificant figures

step-1: Change gallons to quarts

we know that

1 gallon = 4 quarts

so, we can write as

0.073gallons=0.073*1gallon

0.073gallons=0.073*4quarts

0.073gallons=0.292quarts

step-2: Change into liter

0.073gallons=0.292quarts

we know that

1 liter = 1.057 quarts

or

1 quart=\frac{1}{1.057} litre

0.073gallons=0.292*1quarts

0.073gallons=0.292*\frac{1}{1.057} litre

0.073gallons=0.27625 litre

step-3: Change into millilitre

we know that

1L=1000mL

0.073gallons=0.27625*1 litre

0.073gallons=0.27625*1000 mL

Since, it is asking for only two significant figures

so, we can also write as

0.073gallons=0.28*1000 mL

0.073gallons=280 mL...................Answer


3 0
3 years ago
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