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Katena32 [7]
3 years ago
15

There are 10 cups of coffee in each coffee pot and 12 donuts per box, how many cups of coffee and how many donuts will be availa

ble if I make two pots of coffee and 3 boxes of donuts?
Mathematics
1 answer:
iris [78.8K]3 years ago
3 0

Answer:

There are 20 cups of coffee in two pots of coffee and 36 donuts in 3 boxes of donuts

Step-by-step explanation:

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. That is, what is intended with it is to find the fourth term of a proportion knowing the other three.

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other), the direct rule of three must be applied as follow:

a ⇒ b

c ⇒ x

So x=\frac{c*b}{a}

In this case, the rule of three can be applied as follows:

  • if in 1 coffee pot there are 10 cups of coffee, in 2 pots of coffee how many cups of coffee are there?

amount of cups of coffe=\frac{2coffe pots*10 cups of coffee}{1 coffe pot}

amount of cups of coffe= 20

  • If there are 12 donuts in 1 box, how many donuts are there in 3 boxes?

amount of donuts=\frac{3 boxes*12 donuts}{1 box}

amount of donuts= 36

<u><em>There are 20 cups of coffee in two pots of coffee and 36 donuts in 3 boxes of donuts</em></u>

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Answer:

Step-by-step explanation:

If a point (x, y) lies on a straight line, coordinates of the point will satisfy the equation.

Slope of a line passing through two points C(4, 5) and D(8, 10),

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m = \frac{10-5}{8-4}

m = \frac{5}{4}

Equation of the line passing through C(4, 5) and slope m = \frac{5}{4}

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y - 5 = \frac{5}{4}(x-4)

y = \frac{5}{4}x-5+5

y = \frac{5}{4}x

If point B(4, 0) lies on the line CD,

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Therefore, point B doesn't lie on line CD.

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bezimeni [28]
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exis [7]

Answer:

7.2

Step-by-step explanation:

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0.8-0.2, 1.8-0.8, 3.2-1.8, 5.0-3.2

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1.0-0.6, 1.4-1.0, 1.8-1.4

0.4, 0.4, 0.4

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Paul has an eight-year loan with a principal of $26,900. The loan has an interest rate of 8.18%, compounded quarterly. If Paul p
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Answer:

The answer is "option b"

Step-by-step explanation:

Amount = $26,900

r= 0.0818 %

i=\frac{r}{4}\\\\

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t= 8 years

n= 8 \times 4

  =32

D=\frac{1-(1+i)^{-n}}{i}\\

   =\frac{1-(1+0.02045)^{-32}}{0.02045}\\\\=\frac{1-(1.02045)^{-32}}{0.02045}\\\\=\frac{1-0.52319627}{0.02045}\\\\=\frac{0.47680373}{0.02045}\\\\=23.3155858

Q= \frac{Amount}{Discount \ factor }\\

   =\frac{26900}{23.3155858} \\\\=1153.73468

Payment =1153.73468 \times  32\\\\

               = \$ 36919.5098\\

\text{Total interest = Payment - amount}

                    = \$ 36919.5098 - \$ 26900 \\\\                      = \$ 10019.5098

\text{Finance charge = Total interest + service charge}

                        = \$ 10019.5098 + \$ 1527\\\\                          = \$ 11546.5098

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What will most likely cause a decrease in predators population
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Lack of prey 

Hope this helped.
3 0
3 years ago
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