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fgiga [73]
3 years ago
10

Marry Allen baked 15 cupcakes and her children ate 2/3 of them. How many cupcakes did they eat?

Mathematics
1 answer:
ehidna [41]3 years ago
3 0

Answer:

10 were eaten

Step-by-step explanation:

If we have 15 cupcakes and 2/3 of them were eaten, we multiply 15 times 2/3

15*2/3

12*2 = 30

30/3 = 10

10 of the cupcakes were eaten

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Answer:

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Step-by-step explanation:

bjnbhv hgv

3 0
3 years ago
) A watershed experiences a rainfall of 8 inches. What is the runoff volume when the curve number is 80
finlep [7]

Answer:

5.625 inches

Step-by-step explanation:

Given that:

Total Rainfall in inches (P) = 8 inches

The runoff volume (in inches) Q = ???

The curve number CN = 80

Recall that: The runoff volume can be calculated by using the formula:

Q = \dfrac{(P-0.2S)^2}{(P+0.8S)}    for P > 0.2S

Q = 0                     for P < 0.2S

S = \dfrac{1000}{CN}-10

where:

curve number CN = 80

S = \dfrac{1000}{80}-10

S = 2.5 inches

Since the rainfall (P) is greater than 0.25

Then:

Q = \dfrac{(P-0.2S)^2}{(P+0.8S)}  

Q = \dfrac{(8-0.2(2.5))^2}{(8+0.8(2.5))}

Q = \dfrac{(8-0.5)^2}{(8+2)}

Q = \dfrac{(7.5)^2}{(10)}

Q = \dfrac{(56.25)}{(10)}

Q = 5.625 inches

Thus, the runoff volume = 5.625 inches

4 0
3 years ago
A line passes through (3,-2) and (6, 2). Write an equation for the line in point-slope form.
yKpoI14uk [10]

Answer:

(y - -2) (6 - 3) - (2 - -2) (x - 3) = 0

6y + 2 - 3y - 6 -2x +6 +2x +6 = 0

3y +8 =0

3y = -8

y = -8/3

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Given that 2 x − 9 y = 22
aivan3 [116]

Answer:

y = -8/9

Step-by-step explanation:

2 ×(7) - 9 y = 22

14 - 9y = 22

9 y = -8

y = -8/9

3 0
3 years ago
Deonte invested 200000at his bank for 10 years if he earned 130000 what was the interest rate the bank gave him
Volgvan

<u>Answer:</u>

The interest rate the bank gave Deonte is 6.5%.

<u>Solution:</u>

Given, Deonte invested 200000 at his bank for 10 years  

He earned 130000  

We have to find what was the interest rate the bank gave him.

Now we know that, simple interest =\frac{\text {amount} \times \text {rate} \times \text {time}}{100}

So, by substituting our values in above formula,

130000=\frac{200000 \times \text { rate } \times 10}{100}

Interest rate \times 20000 = 130000

Interest rate \times 2 = 13

\text { Interest rate }=\frac{13}{2}=6.5 \%

Hence, the interest rate given by bank is 6.5% to Deonte.

8 0
3 years ago
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