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Katen [24]
3 years ago
7

the container that holdsfor football team is 1/4 full. after pouring in 9 gallons of water it is 5/8 full. how many gallons can

the container hold?
Mathematics
1 answer:
mina [271]3 years ago
4 0

The container used to be 1/4 full, nd when you put in 9 gallons, it is 5/8 full.

First, we should have the fractions have the same denominator

1/4 = 2/8

5/8

We subtract

5/8 - 2/8 = 3/8

So if we add in 9 gallons, 1/8 of the container would be 3 gallons.

2/8 = 6 gallons

6 + 9 = 15 gallons

8/8 - 5/8 = 3/8

3/8 = 9 gallons

15 + 9 = 14 gallons

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The ratio of the perimeters of two similar triangles is 4:3. What are the areas of these triangles if the sum of their areas is
emmasim [6.3K]

Answer:

the areas of these triangles are 83.2cm² and 46.8cm²

Step-by-step explanation:

1. If the triangles are similar and the ratio of the perimeter ois 4:3, then the areas are in the following ratio:

4²:3²

 16:9                                                                      

2. The sum of their areas is 65 cm², then, you can calculate the area of the larger triangle as following:

130(16/16+9)

130(0.64)

=83.2cm²

3. The area of the smaller triangle is:

130(9/16+9)

130(0.36)

46.8cm²

<u>Hope this help</u>s

6 0
2 years ago
What is the solution to the equation below?<br> 12 + square root 1 - 5x = 18
GrogVix [38]

Answer:

-1

Step-by-step explanation:

Square root 1 is 1. Add that to the 12 to get 13. Subtract 13 from both sides to get: -5x = 5. Divide both sides by -5 to get your answer: -1

5 0
2 years ago
Read 2 more answers
Colleen says she is thinking of a 4 digit number in which all the digits are the same the value of the digit in the hundreds pla
ivanzaharov [21]

2 (hundreds place)

0 (tens place)

0 (ones place)

2 in 200 would be the hundreds place.

5 0
3 years ago
Write as an expression and simplify:<br> The square of the difference of x and 8y
lukranit [14]

Answer:

x² - 16xy + 64y²

Step-by-step explanation:

The difference of x and 8y is x - 8y

The square of the difference is (x - 8y)² = (x - 8y)(x - 8y)

Expand by multiplying each term in the second factor by each term in the first factor, that is

x(x - 8y) - 8y(x - 8y) ← distribute both parenthesis

= x² - 8xy - 8xy + 64y² ← collect like terms

= x² - 16xy + 64y²


6 0
3 years ago
What is the slope of the line shown in the graph?<br> A 3/2<br> B 2/3<br> C -3/4<br> D - 2/3
goldenfox [79]

Answer:

D. -2/3

Step-by-step explanation:

Since it is going down, it is negative

Think of this: Rise/Run

In this case, rise is when you are going up or down the graph

Run is when you are going to the right of the graph

Let's use 2 points (0,3) and (3,1)

Since you are going three points to the right we are going to put 3 in for run

You are going 2 places down, so we are going put -2 in for rise

This gives us -2/3

Another way to do this is (1-3)/(3-0) = -2/3

6 0
3 years ago
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