MATHEMATICS HIGH SCHOOL

Bailey brought a rectangular prism shaped fish tank the tanks length is 20 inches width is 12 inches and the height is 18 inches how much water will it take to fill the tank

Answers

Answer 1
Answer:

Answer:

4,320 in³ of water

Step-by-step explanation:

v = 20*12*18

v = 4,320 in³ of water

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Priya starts with $50 in her bank account. She then deposits $20 each week for 12 weeks. Write an equation that represents the relationship between the dollar amount (y) in her bank account and the number of weeks (x) of savings

Answers

Answer: y=mx+b is the proper equation

Step-by-step explanation:

Joey and Armando live on the same st as the park. The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando's home. Then Joey and Armando walk 3/5 mile to the park. Write and solve an equation to find how far Joey walked to get to Armando's home.

Answers

Let's start by assuming Armando's house is between Joey's and the park. 

Let x be the distance Joey walked to Armando's house.

The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando's home. Then Joey and Armando walk 3/5 mile to the park. 

(9)/(10) = x + (3)/(5)

x = (9)/(10) - (3)/(5) = (9)/(10) -(6)/(10) = (3)/(10)

That's probably the answer they're looking for.  But what if the park is between Joey and Armando's houses or Joey is between the park and Armando?  (The latter isn't really possible with the given distances.)

Let a, b, c be the distances between three collinear points like we have here.  Our equation is really a few equations in one, something like

\pm a \pm b = \pm c

Let's get rid of the plus/minuses. Squaring,

a^2 + b^2\pm 2ab = c^2

\pm 2ab = c^2-a^2-b^2

4a^2b^2 = (c^2-a^2-b^2)^2

For us, that's a quadratic equation for c^2

4(9/10)^2(3/5)^2= (c^2-(9/10)^2 - (3/5)^2)^2

I'll skip right to the solutions,

c^2=(9)/(100) \textrm{ or } c^2=(9)/(4)


c=(3)/(10) \textrm{ or } c=(3)/(2)

We could have gotten the 3/2 just by adding 9/10+3/5 but this was more fun.

A boat travels 39 miles in 4 hours and 20 minutes. What is the speed of the boat in miles per hour?

Answers

Answer:

9.01 miles in 1 hour

Step-by-step explanation:

to get the answer first u need to do is turn the 20 mins to hours

well we can also turn the hour to mins and then turn it into hours

260 mins= 4.33 hours (rounded)

then 39/4.33= x/1

divided the top and bottom by 4.33

9.01/4.33 (rounded)

Karyn cuts the length of a ribbon into 4 equal pieces. each 1 1/4 feet long. How long was the ribbon?

Answers

5 feet. 1*4 is four and 1/4 * 4 is 1 added together that is 5

Answer: you add 1 1/4, 4 times which equals 4 4/4 or 5

Step-by-step explanation:

A population of middle school students contains 160 sixth graders, 180 seventh graders, and 140 eighth graders. Nine seventh graders were part of a random sample of the population chosen to participate in a survey. For the sample to accurately represent the population, about how many sixth graders should be chosen? A.7 B.8 C.14 D.16

Answers

About 8 sixth graders should be chosen.

What is direct proportion?

Direct proportion is a type of proportionality relationship. For direct proportion, as one value increases, so does the other value and conversely, as one value decreases, so does the other value.

Given that, A population of middle school students contains 160 sixth graders, 180 seventh graders, and 140 eighth graders. Nine seventh graders were part of a random sample of the population chosen to participate in a survey.

We know they are in direct proportion,

Number of sixth graders students = 160

Number of seventh graders students = 180

Number of eighth graders students = 140

If 9 seventh graders were part of a random sample of the population chosen to participate in a survey.

Let the number of sixth graders should be chosen to be 'x'.

Since, there will be direct proportion.

180/9 = 160/x

20 = 160/x

x = 160/20

x = 8

Hence, About 8 sixth graders should be chosen.

For more references on direct proportion, click;

brainly.com/question/28730073

#SPJ6

Answer:B-8

Step-by-step explanation:BECAUSE it was for me

What is the simplified form of the equation fraction 3 over 5 n minus fraction 4 over 5 equals fraction 1 over 5 n?n = −1
n = 2
n = fraction 5 over 3
n = fraction 5 over 2

Answers

n = fraction 5 over 3

Explanation;
(3)/(5)n- (4)/(5)= (1)/(5) n
Eliminate the demominator by multiplying each term by 5.
3n-4=1
3n=5
n=(5)/(3)

Answer:

n = 2

Step-by-step explanation:

3/5n - 4/5 = 1/5n

3/5(2) - 4/5 = 1/5(2)

6/5 - 4/5 = 2/5

^^^^^^^^^^^^^^^^

Correct? Yes.
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