A student has 4 fifths gallons of popcorn to give away. He wants to split it evenly between his 7 friends. How much popcorn does each friend receive?I am in a rush pls help

Answers

Answer 1
Answer:

By taking a quotient, we conclude that each friend will get 4/35 gallons of popcorn.

How much popcorn will each friend receive?

To solve this, we need to take the quotient between the total amount of popcorn, which we know is 4/5 gallons, between the total number of friends, which we know is 7.

So we just need to take the quotient between 4/5 and 7, it will be:

N = (4/5)/7

That can be rewritten to:

N = (4/5)*(1/7)

The denominators will be multiplied, so we get:

N = 4/(5*7) = 4/35

From this, we conclude that each friend will get 4/35 gallons of popcorn.

If you like to learn more about quotients:

brainly.com/question/8952483

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In ∆MNP, m∠N = 90º, NH – altitude, m∠P = 21º, PM = 4 cm. Find MH.

Answers

Answer:

0.51 cm

Step-by-step explanation:

In right triangle MNP, MP = 4 cm, m∠N = 90°, m∠P = 21°

By the sine definition,

\sin \angle P=\frac{\text{Opposite leg}}{\text{Hypotenuse}}=(MN)/(MP)\n \nMN=MP\sin \angle P\n \nMN=4\sin 21^(\circ)\approx 1.43\ cm

Now, consider right triangle HMN (it is right because NH is an altitude). By the cosine definition,

\cos \angle M=\frac{\text{Adjacent leg}}{\text{Hypotenuse}}=(MH)/(MN)\n \nMH=MN\cos \angle M

In the right triangle, two acute angles are always complementary, so

m\angle M=90^(\circ)-m\angle P=90^(\circ)-21^(\circ)=69^(\circ)

Thus,

MH=1.43\cos 69^(\circ)\approx 0.51\ cm

Carlos has 58 pencils. What is the value of the digit 5 in this number?

Answers

read it aloud:  fifty-eight. The 5 stands for "50" or fifty.

another way to look at it is to count the position at which 5 is: it's the second position from the right. In  our counting system, the places have the value of 10 to the power of (number of the position minus 1): the position is 2: so the value is 5(the digit)*10^(2-1), which is 5*10^(1)=5*10, which is 50
fifty is the value in your question

Suppose that a family wants to start a college fund for their child. If they can get a rate of 5.5% , compounded monthly, and want the fund to have a value of $35,450 after 20 years, how much should they deposit monthly? Assume an ordinary annuity and round to the nearest cent.

Answers

Answer:

They should deposit $81.38 monthly.

Step-by-step explanation:

We know that,

\text{FV of annuity}=P\left(((1+r)^n-1)/(r)\right )

where,

FV of annuity = $35,450

P = monthly payment,

r = rate of interest = 5.5% annually = (5.5)/(12)\%

n = number period = 20 years = 240 months

Putting all the values,

\Rightarrow 35450=P\left(((1+(0.055)/(12))^(240)-1)/((0.055)/(12))\right )

\Rightarrow P(35450)/(\left(((1+(0.055)/(12))^(240)-1)/((0.055)/(12))\right ))

\Rightarrow P=\$81.38

Therefore, they should deposit $81.38 monthly.

In 20 years a family will be able to earn 35 450 dollars. The interest that they earned is 5.5% compounded monthly. Now, let's find out how much will they need to save monthly to get this amount in 20 year:
=> 12 * 20 = 240 months
=> 35 450 / 240 months = 147.7 dollars per month is the money with interest
Let's subtract the interest
=> 147.7 * 0.055 = 8.1 dollars.
=> 147.7 - 8.1 = 139.6 dollars per month.

How do I put 2.625 into a fraction

Answers

2 and 625/1000 (simp)  

 2 5/8 as a mixed number

25/8 as a regular fraction
2 and 5/8

2 5/8 mixed number

21/8 as an improper fraction

The product of two consecutive positive even integers is 14 more than their sum

Answers

X(x+2)=x+x+2+14
x^2+2x=2x+16
x^2=16
x=4 or x =-4

Answer:

x=4,-4

Step-by-step explanation:

Fifty people own 4,000 books. What's the ratio of people to books? A. 80 : 1 B. 1 : 80 C. 1 : 40 D. 40 : 1

Answers

We have 50:4000, then divide by 50 on both sides to get 1:80, which is B
easy to work out [B] 1: 80
             hope my answer helped!!