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DENIUS [597]
3 years ago
7

Mrs. Larson baked 25 cookies. 3 fifths of the cookies were oatmeal. How many oatmeal cookies did Mrs. Larson bake?

Mathematics
1 answer:
Kisachek [45]3 years ago
6 0

Answer:

15 oatmeal cookies

Step-by-step explanation:

Without writing it out, a method you could use to figure this out is by first dividing 25 by 5, which is 5. Next, multiply the numerator, 3, by 5 to get 15.

Therefore, 15 of the 25 cookies were oatmeal cookies.

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In a direct variation, the ratio of y -values to x -values is equal to a constant.
liberstina [14]

Answer:

True

Step-by-step explanation:

The equation of direct variation is

y = kx ← k is the constant of variation

To find k divide both sides by x

\frac{y}{x} = k

That is the constant is the ratio of y- values to x- values

3 0
3 years ago
A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the
patriot [66]

Grapefruit=108

Orange=100

Apple=90

a) (108-90)/90*100 = 18/90*100=20%

b) (108-90)/108= 18/108*100=16 2/3%

3 0
3 years ago
Read 2 more answers
Is the graph (6,-11), (-3,4), (-3,11), (6,4) a function or a relation?
matrenka [14]
The correct answer is a function
5 0
3 years ago
You find an interest rate of 10% compounded quarterly. Calculate how much more money you would have in your pocket if you had us
Elena-2011 [213]

Answer:

see the explanation

Step-by-step explanation:

we know that    

step 1

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

r=10\%=10/100=0.10\\n=4  

substitute in the formula above

A=P(1+\frac{0.10}{4})^{4t}  

A=P(1.025)^{4t}  

Applying property of exponents

A=P[(1.025)^{4}]^{t}  

A=P(1.1038)^{t}  

step 2

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

r=10\%=10/100=0.10  

substitute in the formula above

A=P(e)^{0.10t}  

Applying property of exponents

A=P[(e)^{0.10}]^{t}  

A=P(1.1052)^{t}  

step 3

Compare the final amount

P(1.1052)^{t} > P(1.1038)^{t}

therefore

Find the difference

P(1.1052)^{t} - P(1.1038)^{t} ----> Additional amount of money you would have in your pocket if you had used a continuously compounded account with the same interest rate and the same principal.

3 0
3 years ago
What is the area of the composite shape below?
solmaris [256]
I might be wrong but it might be 62
4 0
2 years ago
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