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Anni [7]
2 years ago
11

Carrie borrowed money from her sister Melissa. She has been paying her back $80 a month for the past 5 months. If this is 32% of

the money that she borrowed, how much money did she borrow?
Mathematics
1 answer:
MrRa [10]2 years ago
4 0

The money which is borrowed by Carrie to her sister Melissa which she has been paying her back $80 a month is $1250.

<h3>What is percentage of a number?</h3>

Percentage of a number is the part of the whole number which is expressed in the fraction of hundredth. It is represented with "%" symbol.

Carrie borrowed money from her sister, whose name is Melissa. She has been paying her back $80 a month for the past 5 months. Thus, the total amount she has returned is,

x=$80×5

x=$400

Now, the $400 is 32% of the money that she borrowed. Thus, the amount of money which she borrowed is,

\text{Money}=\dfrac{400}{32}\times100\\\text{Money}=1250

Thus, the money which is borrowed by Carrie to her sister Melissa which she has been paying her back $80 a month is $1250.

Learn more about the percentage here;

brainly.com/question/2085058

#SPJ1

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Answer:

D) x=9 ; y=3√(3)

Step-by-step explanation:

Sin(30)=\cfrac{y}{6\sqrt{3} }

\cfrac{18y}{6\sqrt{3}}=18\sin \left(30^{\circ \:}\right)

\sqrt{3}y=9

\cfrac{\sqrt{3}y}{\sqrt{3}}=\cfrac{9}{\sqrt{3}}

y=3\sqrt{3}

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Cos(30)=\cfrac{x}{6\sqrt{3} }

\cfrac{18x}{6\sqrt{3}}=18\cos \left(30^{\circ \:}\right)

\sqrt{3}x=9\sqrt{3}

\cfrac{\sqrt{3}x}{\sqrt{3}}=\cfrac{9\sqrt{3}}{\sqrt{3}}

x=9

Therefore, x=9 and y=3√(3)

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8 0
2 years ago
I don't really understand this problem​
yKpoI14uk [10]

Complementary angles add up to 90 (there should be a right angle in the diagram)

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Left angle is measured 30+20=50 degrees

Angle on the right is measured 30+10=40 degrees

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3 years ago
A plant nursery in Wildgrove keeps records of how many of its plants are annuals, biennials,
yanalaym [24]

Step-by-step explanation:

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8 0
2 years ago
According to the National Beer Wholesalers Association, U.S. consumers years and older consumed gallons of beer and cider per pe
12345 [234]

Complete question :

According to the National Beer Wholesalers Association, U.S. consumers 21 years and older consumed 26.9 gallons of beer and cider per person during 2017. A distributor in Milwaukee believes that beer and cider consumption are higher in that city. A sample of consumers 21 years and older in Milwaukee will be taken, and the sample mean 2017 beer and cider consumption will be used to test the following null and alternative hypotheses:

H, :μ< 26.9

Ha : μ> 26.9

a. Assume the sample data led to rejection of the null hypothesis. What would be your conclusion about consumption of beer and cider in Milwaukee?

b. What is the Type I error in this situation? What are the consequences of making this error?

c. What is the Type II error in this situation? What are the consequences of making this error?

Answer:

Kindly check explanation

Step-by-step explanation:

Given the null and alternative hypothesis :

H0 :μ< 26.9

Ha : μ> 26.9

Assume the Null hypothesis is rejected ;

We conclude that there is significant evidence that the mean consumption of beer and cider is higher in the city (more than 26.9 gallons).

B.) Type 1 error is committed when the Null hypothesis is incorrectly rejected.

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2 years ago
(8m-3n)^2 - (4m+3n)^2​
natulia [17]

Answer:

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We need to solve (8m-3n)^2 - (4m+3n)^2

We know that,

(a+b)^2=a^2+b^2+2ab\\\\(a-b)^2=a^2+b^2-2ab

Using the above formula,

(8m-3n)^2 - (4m+3n)^2=(8m)^2+(3n)^2-2(8m)(3n)-[(4m)^2+(3n)^2+2(4m)(3n)]\\\\=64m^2+9n^2-48mn-(16m^2+9n^2+24mn)\\\\=64m^2+9n^2-48mn-16m^2-9n^2-24mn\\\\=48m^2-48mn-24mn\\\\=48m^2-72mn

So, the final answer is 48m^2-72mn.

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