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2 years ago

Explain how you know that 12 is a solution to 3x = 36 by completing each sentence. a. The word "solution" means....

Mathematics

1 answer:

Angelina_Jolie [31]2 years ago

6 0

12 is equivalent to three and 36 is equivalent to 12 three goes into 12 four times and and 36 goes into 12 three times

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If the perimeter of a square is 20, what is the length of the diagonal ?

Rina8888 [55]

Answer:

Step-by-step explanation:

if you know that the perimeter is 20,

then you have to divide by 4 to get the length of one side

20/4=5.

Draw the diagonal and write in it's length as x.

Use Pythagorean formula

Then know that a2+b2=c2

and use the two side lengths as a and b.

This gives you the equation

5^2+5^2=x^2.

Do the calculations and solve the equation.

25+25=x^2

50=x^2

√50=x.

Therefore x=√50 where x equals the length of the diagonal.

7 0

2 years ago

Circle T has diameters RP and QS. The measure of ∠RTQ is 12° less than the measure of ∠RTS.

Rufina [12.5K]

Answer:

96 degrees

Step-by-step explanation:

STR + STQ=180 degree

Substitute

x+x-12=180

2x-12=180

2x=192

x=96

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2 years ago

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FrozenT [24]

6.25 per circle to balance the hanger

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2 years ago

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Simplify the expression by combining like terms. 22+5−4+7−8

nikklg [1K]

Answer:

Step-by-step explanation:

27-4+7-8=

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3 0

3 years ago

Question 12

soldi70 [24.7K]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The tank for a car holds 17 gallons. The gasoline gauge shows the tank is 3/4 full. How much gas is still in the tank?

Give your answer as a whole number or as a mixed fraction reduced to lowest terms.

Answer:

$Gas \: \:left = 12 \frac{3}{4} \: \:gallons \\\\$

Step-by-step explanation:

The tank for a car holds 17 gallons.

The gasoline gauge of the car shows that the tank is 3/4 full.

We are asked to find the remaining gasoline in the tank.

$Gas \: \:left = \frac{3}{4} \times 17 \\\\Gas \: \:left = \frac{51}{4} \\\\Gas \: \:left = 12 \frac{3}{4} \: \:gallons \\\\$

Therefore, the remaining gas in the tank is $12\frac{3}{4}$ gallons.

Alternatively:

$1 - \frac{3}{4} = \frac{1}{4}$

Amount of gasoline consumed = $\frac{1}{4} \times 17 = \frac{17}{4}$

Amount of gasoline left = total - consumed

Amount of gasoline left = $17 - \frac{17}{4} = 12\frac{3}{4} \:\: gallons$

6 0

3 years ago