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Reil [10]
3 years ago
5

What number gives a result of -8 when 11 is subtracted from the quotient of the number and 6?

Mathematics
1 answer:
forsale [732]3 years ago
3 0

Answer:

18

Step-by-step explanation:

The formula X/6 - 11 = -8

Add 11 to both sides of the equation X/6 = 3

Multiply by 6 both sides to cancel out the division

X = 18

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This question is from the similarity chapter. It would be really kind of you if you would answer this question.
katen-ka-za [31]

Answer:

a) 1650 m

b) 1677.05 m

Step-by-step explanation:

Hi there!

<u>1) Determine what is required for the answers</u>

For part A, we're asked for solve for the horizontal distance in which the road will rise 300 m. In other words, we're solving for the distance from point A to point C, point C being the third vertex of the triangle.

For part B, we're asked to solve for the length of the road, or the length of AB.

<u>2) Prove similarity</u>

In the diagram, we can see that there are two similar triangles: Triangle AXY and ABC (please refer to the image attached).

How do we know they're similar?

  1. Angles AYX and ACB are corresponding and they both measure 90 degrees
  2. Both triangles share angle A

Therefore, the two triangles are similar because of AA~ (angle-angle similarity).

<u>3) Solve for part A</u>

Recall that we need to find the length of AC.

First, set up a proportion. XY corresponds to BC and AY corresponds to AC:

\frac{XY}{BC}=\frac{AY}{AC}

Plug in known values

\frac{2}{300}=\frac{11}{AC}

Cross-multiply

2AC=11*300\\2AC=3300\\AC=1650

Therefore, the road will rise 300 m over a horizontal distance of 1650 m.

<u>4) Solve for part B</u>

To find the length of AB, we can use the Pythagorean theorem:

a^2+b^2=c^2 where c is the hypotenuse of a right triangle and a and b are the other sides

Plug in 300 and 1650 as the legs (we are solving for the longest side)

300^2+1650^2=c^2\\300^2+1650^2=c^2\\2812500=c^2\\1677.05=c

Therefore, the length of the road is approximately 1677.05 m.

I hope this helps!

3 0
3 years ago
4. Mario was asked to find the GCF of 15, 30, and 45. What number did he find? A. 15 C. 45 B. 30 D. 60
SVETLANKA909090 [29]
4. is A 15
5. is C 12
6. is B 4, 8, 12, 16

hope this helps :)
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2 years ago
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A sporting good store is offering 30 percent off of the original price(x) of football cleats. The discount will be reduced by an
mylen [45]
(X times 0.3) -7 is the discount
5 0
3 years ago
Lily said that n=3 is a solution of the equation 16+n=18.Is Lily correct ?Explain
MAVERICK [17]
No, Lily is not correct. This is because 16+3 does not equal 18. So to find N, you take 18 and subtract 16. 
18-16=n 
18-16=2
so n=2
16+2=18.
6 0
3 years ago
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Could someone help me with this math question? its operations with scientific notations
JulijaS [17]

Answer: 16312.5

Step-by-step explanation:

That took a lot of time. There you go.

7 0
2 years ago
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