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Katyanochek1 [597]
3 years ago
11

If kenny earns 142% of Benny's Salary, how mucho more does Kenny earn than Benny

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
8 0

Let  Benny's salary = $ K

But kenny earns 142% of Benny's Salary

So, Kenny's salary = 142%of K

Kenny's salary =K  \times \frac{142}{100}

Kenny's salary = 1.42K

Kenny's income exceeds Benny's by =1.42K - K =$0.42 K

% by which Kenny's salary exceeds by Benny's =\frac{0.42 \text K}{\text K} \times 100

% by which Kenny's salary exceeds by Benny's = 42%


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Maurinko [17]

Combine the terms. Note that: one positive and one negative sign results in a negative sign.

Simplify: 5 + (-4) = 5 - 4 = 1

1 + (-7) = 1 - 7 = -6

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~

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3 years ago
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Equation of the line contains the points (-3,2) and (5,-5)
makkiz [27]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

We have the following points through which the line passes:

(x_ {1}, y_ {1}): (- 3,2)\\(x_ {2}, y_ {2}) :( 5, -5)

So the slope is:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-5-2} {5 - (- 3)} = \frac {-7} {5 + 3} = - \frac {7} {8}

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y = - \frac {7} {8} x + b

We substitute one of the points and find "b":

2 = - \frac {7} {8} (- 3) + b\\2 = \frac {21} {8} + b\\b = 2- \frac {21} {8}\\b = \frac {16-21} {8}\\b = - \frac {5} {8}

Finally, the equation is:

y = - \frac {7} {8} x- \frac {5} {8}

Answer:

y = - \frac {7} {8} x- \frac {5} {8}

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We are given the expression of square root of one over 121 and is asked to simplify the expression. Simply, to answer this question, we take the square root of each number. square root of 1 is 1 while the square root of 121 is 11. Hence the simplified expression becomes 1/11. 
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21. Brian wants to purchase a piece of fabric
ella [17]

Brian should purchase Choice C of fabric

<em><u>Solution:</u></em>

Given that Brian wants to purchase a piece of fabric  that is between 49 and 53 inches long

So piece of fabric should be between: 49 and 53 inches

  • Choice A is 4\frac{3}{4} feet long

Let us convert feet to inches

4\frac{3}{4} feet = \frac{4 \times 4 + 3}{4} = \frac{19}{4} feet

Now convert to inches

We know that,

1 feet = 12 inches

\frac{19}{4} feet = \frac{19}{4} \times 12 = 57 inches

But this choice is greater than given condition that piece of fabric should be between: 49 and 53 inches

So this is not correct

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4\frac{1}{2} feet = \frac{2 \times 4 + 1}{2} = \frac{9}{2} feet

Now convert to inches

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But this choice is greater than given condition that piece of fabric should be between: 49 and 53 inches

So this is not correct

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4\frac{1}{3} feet = \frac{3 \times 4 + 1}{3} = \frac{13}{3} feet

Now convert to inches

\frac{13}{3} feet = \frac{13}{3} \times 12 inches = 52 inches

So this 52 inches lies between 49 and 53 inches

So Brian should purchase Choice C of fabric

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3 years ago
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