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Reptile [31]
2 years ago
5

Write this ratio as a fraction in simplest form without any units. 28 quarts to 9 gallons You can use the table below to help co

nvert the units. Length Weight Capacity (Volume) 1 foot 12 inches 1 yard = 3 feet 1 pound = 16 ounces 1 pint = 2 cups 1 quart = 2 pints 1 gallon = 4 quarts​
Mathematics
1 answer:
jolli1 [7]2 years ago
4 0

Answer:

  7/9

Step-by-step explanation:

In order to write the fraction without any units (as a pure number), we must have units in the numerator and denominator that are the same. Then the units cancel.

<h3>Convert to gallons</h3>

We are given the conversion ...

  4 quarts = 1 gallon

Multiplying by 7, we see ...

  28 quarts = 7 gallons

<h3>Ratio</h3>

This lets us write the desired fraction as ...

  (28 quarts)/(9 gallons) = (7 gallons)/(9 gallons) = 7/9

The ratio in simplest form is 7/9.

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X^2 +6x+30 in vertex form
Elina [12.6K]

Answer:

Step-by-step explanation:

Factoring  x2-6x-30

The first term is,  x2  its coefficient is  1 .

The middle term is,  -6x  its coefficient is  -6 .

The last term, "the constant", is  -30

Step-1 : Multiply the coefficient of the first term by the constant   1 • -30 = -30

Step-2 : Find two factors of  -30  whose sum equals the coefficient of the middle term, which is   -6 .

     -30    +    1    =    -29

     -15    +    2    =    -13

     -10    +    3    =    -7

     -6    +    5    =    -1

     -5    +    6    =    1

     -3    +    10    =    7

     -2    +    15    =    13

     -1    +    30    =    29

7 0
3 years ago
Read 2 more answers
If there are 1,760 yards in 1 mile, how many yards are in 2.5 miles?
Karolina [17]

Answer:

4400 Yards

Step-by-step explanation:

Divide 1760 to get how many yards are in half of a mile

Take the number of yards in one mile and double that and then add the number in half of a mile

8 0
2 years ago
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What is the volume of a cone with a radius of 4 centimeters and a height of 5 centimeters?
vovangra [49]

Answer:

83.79 cm²

Step-by-step explanation:

(please refer to attached)

recall that the volume of a cone is given by

V = (1/3) π r² h

where

r = radius = given as 4 cm

h = height = given as 5 cm

assume π = 3.142

substituting the values into the formula:

V = (1/3) π r² h

V = (1/3) (3.14) (4)² (5)

V = 83.79 cm²

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3 years ago
I need an answer really quick.
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Answer:

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Step-by-step explanation:

So, 96$ with a 12% increase is $107.52.

But if you do 8.75×12 you get $105.

So Clare should switch to the other music stream.

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2 years ago
When using the distributive property, the expression <br><br> 3(2x - 1) would be simplified to
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6x - 3

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