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Shkiper50 [21]
3 years ago
10

What is the value of x in units

Mathematics
2 answers:
nikdorinn [45]3 years ago
6 0

\triangle RQT\ \text{and}\ \triangle SRT\ \text{are similar. Therefore the sides are in proportion.}\\\\\dfrac{RT}{TQ}=\dfrac{TS}{RT}\\\\\text{We have}\ RT=x,\ TQ=16,\ TS=9.\ \text{Substitute:}\\\\\dfrac{x}{16}=\dfrac{9}{x}\qquad\text{cross multiply}\\\\x^2=(9)(16)\\\\x^2=144\to x=\sqrt{144}\\\\\boxed{x=12}

castortr0y [4]3 years ago
3 0
The value of x in units would be 8 I could be completely wrong though
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What is the solution for the equation -15=5(3y-10)-5y
marissa [1.9K]

Answer:

  • \Large\boxed{\sf{y=\dfrac{7}{2} }}

Step-by-step explanation:

Isolate the variable of y from one side of the equation.

-14=5(3y-10)-5y

<u>First, switch sides.</u>

\sf{5\left(3y-10\right)-5y=-15}

Use the distributive property.

<u>DISTRIBUTIVE PROPERTY:</u>

A(B-C)=AB-AC

5(3y-10)

Multiply by expand.

5*3y=15y

5*10=50

15y-50-5y

15y-5=10y

= 10y-50

10y-50=-15

Add by 50 from both sides.

10y-50+50=-15+50

Solve.

10y=35

Then, you divide by 10 from both sides.

10y/10=35/10

Solve.

Divide the numbers from left to right.

35/10=7/2

y=7/2

Divide is another option.

7/2=3.5

\Longrightarrow: \boxed{\sf{y=\dfrac{7}{2}}}

  • <u>Therefore, the correct answer is y=7/2.</u>

I hope this helps. Let me know if you have any questions.

7 0
2 years ago
What is the solution to y=5x+1 and y=-5x+15?
Semenov [28]

Answer:

x=7/5, y=8

Step-by-step explanation:

You can use substitution.

7 0
3 years ago
Read 2 more answers
A scale reports a 15-pound weight as weighing 12.375 pounds. Which of the following is true?
rusak2 [61]

Answer:

C

Step-by-step explanation:

If it is accurate then it would have gotten the correct weight, but by going down to the thousandths it would be precise


4 0
4 years ago
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What is the value of x?
Marysya12 [62]
A triangle always adds up to 180 degrees:

Therefore, 48 + 6x + 9x-3 = 180

Solve for x:

180 - 45 = 15x
135 = 15x

x = 9 degrees
4 0
3 years ago
When three pipes fill a pool, they can finish in 12 hours. Two of the pipes can finish in 18 hours if they are working together.
ladessa [460]
3 pipes take 12 hours
⇒ In 1 hour, the 3 pipes can fill 1/12 of the pool

2 of the pipes take 18 hours
⇒ in 1 hour, the 2 pipes can fill 1/18 of the pool

In 1 hour, the third pipe alone can fill :

\dfrac{1}{12} - \dfrac{1}{18} = \dfrac{3}{36} - \dfrac{2}{36} = \dfrac{1}{36} \text { of the pool}

Time needed :

1 \div \dfrac{1}{36} = 1 \times 36 = 36 \text { hours}

----------------------------------------------------------------------------------------
Answer: It will take 36 hours for the third pipe to fill the pool.
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5 0
3 years ago
Read 2 more answers
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