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erastova [34]
3 years ago
9

Hideki found the solution for the equation below to be r = 66. 6(5 + r) = 96 What mistake did Hideki make in solving the equatio

n? What is the correct solution?
A. He did not distribute 6 to r; r = 11.
B. He did not divide both sides by 6; r = 16.
C. He did not multiply both sides by 6; r = 571.
D. He did not subtract 5 from both sides; r = 15.
Mathematics
2 answers:
alexgriva [62]3 years ago
8 0
6(5 + r) = 96
30 + 6r = 96
6r = 96 - 30
6r = 66
r = 66/6
r = 11

A. He did not distribute 6 to r ; r = 11
cricket20 [7]3 years ago
5 0
Multiplying out 6(5+r) = 96 and solving for r:  30 + 6r = 96

Then 6r = 66, and r = 11.

Answer A is correct.
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[2] Translation

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Translation is just moving the shape.

Transformation is changing the shape and tilting it changed the shape.

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Assume that y varies directly with x. If y=9 when x=−3, find x when y=6.
Dafna1 [17]

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Step-by-step explanation:

8 0
3 years ago
Find the length of a rectangle with a diagonal of 10 and a height of 8.
Dmitry_Shevchenko [17]

Answer:

The length of the rectangle is 6.

Step-by-step explanation:

Given: The diagonal of a rectangle is 10 and the height is 8.

Please understand, that a diagonal, divides the rectangle into two tringles.

To find the length of the rectangle, you can use Pythagoras on one of the right sided triangles, because the length of the triangle, is also the length of the rectangle!

<em>EXTRA:</em>

<em>If</em><em> you know the special 3 4 5 triangle, a so called Pythagorean Triple, then you can "see" the simularity between the numbers.</em>

<em>Instead of 5, a diagonal of 10 is given (factor of 2 bigger).</em>

<em>Instead of 4, the height of 8 is given (factor of 2 bigger</em><em>)</em><em>.</em><em> </em><em>By scaling the Pythagorean Triple 3 4 5 by a factor of 2, you get the numbers 6 8 10. Could it be, that the number we need to find, is six?</em>

Try to verify, by calculating the missing number (which is the length of the rectangle we are looking for).

a² + b² = c²

a = length (and is unknown)

b = height = 8

c = hypothenusa/diagonal = 10

Substitute the numbers given:

a² + 8² = 10²

Subtract 8² left and right of the = sign.

a² +8² -8² = 10² - 8²

a² + 0 = 100 - 64

a² = 36

a = + - √36

a = + - 6

<em>EXTRA</em><em>:</em>

<em>You</em><em> can ignore the -√36 = -6 part of the solution, because a length of -6 has no meaning here.</em>

a = 6

So, the length of the triangle is 6 and thus, the length of the rectangle is also 6.

8 0
3 years ago
Harry's parrot is 11 years older than his cat.
Sav [38]

Answer:

The answer to your question is:   P = 17 years

Step-by-step explanation:

Data

Parrot = 11 years older than the cat

C = cat age

P = parrot age

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Process

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8 0
3 years ago
1. What is the sum of 1/9, 2/3, and 5/18?<br> O A. 30<br> O B. 12/9<br> O C. 19/18<br> O D. 4/15
Serhud [2]

Answer:

C. 19/18

Step-by-step explanation:

\frac{1}{9}  +  \frac{2}{3}  +  \frac{5}{18 }  =  \frac{2}{18}  +  \frac{12}{18}  +  \frac{5}{18}  =  \frac{19}{18}

So the answer is C. 19/18

6 0
1 year ago
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