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liubo4ka [24]
3 years ago
5

43 bottles can be filled in 2 minutes write the two ratios implied by this statement how long would it take to fill 860 bottles

Mathematics
1 answer:
snow_tiger [21]3 years ago
4 0
Ratio and proportion
time/bottles=2/43


2/43=x/860
cross multily or times both sides by 43*860
860*2=43x
1720=43x
divide both sides by 43
40=x
answer is 40 minutes
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Harold stores 10656 pounds of grain for 24 cattle. Eachcow eats 12 pounds a day. How many days would the food supply last?
salantis [7]
12×24=288
10656÷288=38
38 days
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riadik2000 [5.3K]

Answer:

x=20; y=50 or (20, 50)

Step-by-step explanation:

Substitution means plugging in one variable's value that consists of the opposite variable. Because y=3x-10 is already specified, you can plug it into the second equation's y value. After doing that, it looks like this:

-4x+2y=20→-4x+2(3x-10)=20

Then you would distribute the 3 across the parentheses next to it, like this:

-4x+2(3x-10)=20→-4x+6x-20=20

Then, add like terms, like this:

-4x+6x-20=20→2x=40

Then divide both side by 2 to isolate x.

x=20

Now, you can plug 20 (x) into either equation, but the first one seems simpler so you would pick that. It would look like this:

y=3x-10→y=3(20)-10

Solving would look like this:

y=3(20)-10→y=60-10→y=50

So the answer is x=20; y=50 or (20, 50).

6 0
3 years ago
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A savings account for a car is set up with an initial balance of $1500, and 250 is added every month (no other
pychu [463]

Answer:

ok so first we subtract 1500

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Felicity set the thermostat of her refrigerator to 37°F. The refrigerator temperature t in degrees Fahrenheit h hours after the
kirill115 [55]

Answer:

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Step-by-step explanation:

Given:

t=1cos(1.05h)+37

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phase shift=c (positive is to the left)

vertical shift=d

comparing with t=1cos(1.05h)+37, we get

a=1

b=1.05

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period= 2π/b

          =2π/1.05

          =5.983

          =6

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ss7ja [257]
B and C can be divided by 9.
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