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riadik2000 [5.3K]
3 years ago
14

If it takes 1/5 of a gallon of water to fill up a package of water ballons and their are 5 gallons of water in total, Then how m

any packs water ballons can be filled up in total?
Mathematics
1 answer:
Debora [2.8K]3 years ago
5 0

Answer:

25

Step-by-step explanation:

It takes 1/5 of a gallon of water to fill up a package of water balloon

There are 5 gallons of water in total

Therefore the number of packs of balloons that can be filled can be calculated as follows

= 5 ÷ 1/5

= 5 × 5/1

= 25

Hence 25 packs of the balloon can be filled

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Multiple Choice
Zanzabum

A) Answer: A. 22.5 cm, 30 cm, and 37.5 cm


Setting the unity measurement as x, the three sides will be 3·x, 4·x, and 5·x. The sum of the three sides will be (3 + 4 + 5)·x = 12·x; this corresponds to the perimeter, therefore:

12·x = 90 cm


We can solve for x:

x = 90 / 12 = 7.5 cm


Hence, the sides will be:

7.5 · 3 = 22.5 cm

7.5 · 4 = 30 cm

7.5 · 5 = 37.5 cm


This situation is represented in option A (which is also the only option whose sides add up to 90).



B) Answer: C. never true


We have:

6 + 8x - 9 = 11x + 14 - 3x


Bring all the terms with x on the left, by subtracting from both sides 11x and -3x, and all the numbers on the right by subtrcting from both sides 6 and -9:

6 + 8x - 9 - 11x - (-3x) - 6 - (-9) = 11x + 14 - 3x - 11x - (-3x) - 6 - (-9)


Cancel out the opposite terms from each side:

8x - 11x + 3x = 14 - 6 + 9


Combine likely terms:

0x = 17


Now you should ask yourself: what number multiplied by zero gives 17 as a result? The answer is none because a number multiplied by zero always equals zero.


Hence, the statement is never true.


C) Answer: r \leq \frac{1}{5}


We have:

5r + 4 ≤ 5


Subtract 4 from both sides:

5r + 4 - 4 ≤ 5 - 4


Combine likely terms:

5r ≤ 1


Divide both sides by 5:

\frac{5r}{5} \leq \frac{1}{5}

r \leq \frac{1}{5}


To graph the set of solutions, you need to set:

y₁ = 5x + 4 and

y₂ = +5


Plot these two lines:

y₂ is a horizontal line at a height of 5;

y₁ is a line passing through (0, 4) and (1, 9)


The set of solutions will be the part of the graph in which y₁ lies underneath y₂ (see picture attached), that happens for x \leq \frac{1}{5}.





4 0
3 years ago
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Find the y-intercept of the line on the graph.
BARSIC [14]
It's a little hard to see, but I'm almost positive the y intercept is -1.
 
Remember, the y intercept is wherever the line intercepts in the y axis 0.

Good luck my man.
5 0
3 years ago
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Which is true about the functional relationship shown in the graph?
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We need a picture of the graph
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HURRY PLZ WILL GIVE BRAINLIEST AND 50 POINTS What is the value of x in the equation 4 5+ਬ-* 2 - (4-5 - 7​
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Answer:

6 I think

Step-by-step explanation:

7 + 5(x - 3) = 22

7 + 5x - 15 = 22

7 + 5x = 37

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Which expression is equivalent to 6 to the power of 4 x 6 to the 3rd power
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