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3 years ago

6

A fish tank holds 90 quarts of water. If you already put 10 gallons, how many more gallons will it take to fill the tank? 4 quar

ts = 1 gallon

1 answer:

olganol [36]3 years ago

4 0

Answer:

12 1/2 gallons

Step-by-step explanation:

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A box contains orange balls and green The number of more four the number of orange If there 38 balls how many green balls and ho

saveliy_v [14]

let number of green balls= x

let number of orange balls=x+4

x+x+4=38

2x=38-4

2x=34

x=17

number of green balls=17

number of orange balls=21

8 0

3 years ago

The sum of two numbers is -4.5. Six less than twice the value of the first number is equal to the second number. Find the number

elena-s [515]

Answer:

first is 3.5, second is 1

Step-by-step explanation:

-4.5 = x + 2x - 6

-4.5 - 6 = 3x

10.5 = 3x

10.5/3 = x

3.5 = x

2(3.5) - 6

7 - 6

1

8 0

3 years ago

areas of four triangles are 40 cm^2, 90 cm^2, 202.5 cm^2 and 455.6 cm^2 are continue in sequence. the enlargement factor is 1.5,

maw [93]

Answer:

9th Triangle

Step-by-step explanation:

Given the area of four triangles: $40 cm^2, 90 cm^2, 202.5 cm^2 \:and\: 455.6 cm^2$

If the Scale factor is 1.5.

This is a geometric sequence and the common ratio is 1.5 X 1.5.

Therefore, the area of any n triangle can be determined using the function:

$A(n)=40\cdot1.5^{2(n-1)}$

We want to determine which triangle has an area greater than $15000cm^2$ .

When A(n)=15000

$40\cdot1.5^{2(n-1)}>15000\\1.5^{2(n-1)}>\frac{15000}{40} \\1.5^{2(n-1)}>375\\\text{Change to Logarithm form}\\2(n-1)>Log_{1.5}375\\\text{Applying logarithm change of base to base 10 law}\\2(n-1)>\frac{Log 375}{Log 1.5} \\2n-2>14.62\\2n>14.62+2=16.62\\n>8.31$

Therefore, the 9th triangle has an area greater than $15000cm^2$ .

5 0

3 years ago

I don't know how to do this it is hard

Solnce55 [7]

(-4) means that it would be +4

3 0

3 years ago

A 42-inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece

Karo-lina-s [1.5K]

Answer: 7 inches

Step-by-step explanation:

If x is the first piece, and the second piece is twice as long, then the second piece is 2x.

If the third piece is three times as long as the first piece, x, then the third piece is 3x.

The 42-inch board must be equal to all 3 pieces, so we will set up an equation and solve for x.

42 = x + 2x + 3x

42 = 6x

42 = 6x

7 = x

The first piece is 7 inches long.

<em>Learn more about </em><em>your question</em><em> here: brainly.com/question/20320071</em>

5 0

1 year ago