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Degger [83]
2 years ago
10

Jason left a bin outside in his garden to collect rainwater. he notices that 1 over 5 gallon of water fills 2 over 3 of the bin.

write and solve an expression to find the amount of water that will fill the entire bin
Mathematics
1 answer:
lara31 [8.8K]2 years ago
4 0

The amount of water that will serve the entire container exists 3/10 gallons.

<h3>What is an expression?</h3>

An expression exists a sentence with a minimum of two numbers or

variables and at least one math function.

Given: 1 over 5 gallons of water serve 2 over 3 of the container.

(1/5) gallon / (2/3) container = x gallons / 1 container

cross-multiplying the above equation, we get

1/5 = (2/3)x

multiply both sides by the reciprocal of 2/3 = 3/2

(3/2) (1/5) = x = 3/10 gallons serve the total container

Each 1/10 of a gallon serve 1/3 of the container

So 3(1/10) gallons serve 3(1/3)bins

3/10 gallons serve a whole container.

The amount of water that will serve the entire bin container exists 3/10 gallons.

To learn more about the expression refer to:

brainly.com/question/1619296

#SPJ4

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Tammy deposited $520 in the bank account that earns simple interest every year after 5 years she had earned $156 and interest if
aleksley [76]

Answer:

6%.

Step-by-step explanation:

We have been given that Tammy deposited $520 in the bank account that earns simple interest every year after 5 years she had earned $156.

To find the interest rate we will use simple interest formula.

I=P*r*T

I= Interest.

P= Principal amount.

r=Annual interest rate (in decimal form).

T= Time in years.

We have been given that I=156, T=5, P=520

Upon substituting our values in above formula we will get,

156=520*r*5

156=2600r

r=\frac{156}{2600}

r=0.06

Let us multiply 0.06 by 100 to convert annual interest rate in percentage.

0.06*100=6 \text{ percent}

Therefore, the annual interest rate was 6%.

6 0
3 years ago
A video game system and several games are sold for $500. The cost of the game is 3 times as much as the cost of the system . Fin
Shalnov [3]
We have to start by creating an equation. 

Cost of System = x
Cost of games = 3x

Thus x + 3x = $500

Now we find x.

4x = 500,
x = 500/4 = 125

So the system is 125,
The games, 125*3 = 375
5 0
3 years ago
Read 2 more answers
Solve for x. 3^x−1=9^x+2 <br> Enter your answer in the box.
slava [35]

Answer:

-5 =x

Step-by-step explanation:

3^(x-1) = 9^(x+2)

Replace 9 with 3^2

3^(x-1) = 3^2^(x+2)

We know that a power to a power means the powers are multiplied

a^b^c = a^(b*c)

3^(x-1) = 3^(2x+2)

When the bases are the same, the powers have to be the same

x-1 = 2x+4

Subtract x from each side

x-x-1 =2x-x+4

-1 =x+4

Subtract 4 from each side

-1-4 =x+4-4

-1-4 = x

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4 0
3 years ago
Solve the proportion x/12.6=45/63
NNADVOKAT [17]

Answer:

x = 9

Step-by-step explanation:

solve using cross multiplication

63(x) = 45(12.6)

63x = 567

x = 9

5 0
3 years ago
Read 2 more answers
Can someone please help me? Will give the brainlest!!
SCORPION-xisa [38]

Step-by-step explanation:

The ratio of the perimeters = the scale

P₂ / P₁ = 6 / 4 = 3 / 2

The ratio of the areas = the square of the scale

A₂ / A₁ = (6 / 4)² = (3 / 2)² = 9 / 4

Same for the triangles:

P₂ / P₁ = 6 / 3 = 2

A₂ / A₁ = (6 / 3)² = (2)² = 4

5 0
3 years ago
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