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Viktor [21]
3 years ago
9

A man's basic wage for a 40-hour week

Mathematics
2 answers:
Mashcka [7]3 years ago
6 0

Answer:

467.50

Step-by-step explanation:

do 61.5 times 5 to get 307.5 and add to 160 to get 467.50

Aloiza [94]3 years ago
4 0

Answer:

He earned $312.5 for that week

Step-by-step explanation:

Hello,

He earns $160 for 40 hours

And $5 per hour for every extra hour.

In a certain week, we work 61/2 hours as over time

1 hour = $5

61/2 hour = $x

x = [5 × (61/2)]

x = $152.5

He earned $152.5 on that week for overtime

Total amount he earned for that week = wage + overtime wage

Total amount = $160 + $152.5

Total amount = $312.5

The man earned $312.5 for that week

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7/5 miles in 2/3 hour, what is the unit rate?
Murljashka [212]

Answer:

= 3.5 miles per hour

Showing Work

This is a fraction equal to

7 miles ÷ 2 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2

7 miles ÷ 2

2 hours ÷ 2

=

3.5 miles

1 hour

=

3.5 miles

hour

= 3.5 miles per hour

3 0
2 years ago
Simplify 24÷⌈32÷(8−5)⌉−(−6)
Andrews [41]
Decimal form - 8.24
mixed number form - 8 1/4
8 0
3 years ago
Find x: 3/(x-4)(x-7) + 6/(x-7)(x-13) + 15/(x-13)(x-28) - 1/x-28 = -1/20
Novay_Z [31]

The value of x<em> </em>in the polynomial fraction 3/((x-4)•(x-7)) + 6/((x-7)•(x-13)) + 15/((x-13)•(x-28)) - 1/(x-28) = -1/20 is <em>x </em>= 24

<h3>How can the polynomial with fractions be simplified to find<em> </em><em>x</em>?</h3>

The given equation is presented as follows;

\frac{3}{(x - 4) \cdot (x - 7) }  + \frac{6}{(x - 7) \cdot (x - 13)   }  + +\frac{15}{(x - 13) \cdot (x - 28) } - \frac{1}{(x - 28)  } =  -  \frac{1}{20}

Factoring the common denominator, we have;

\frac{3\cdot(x - 13) \cdot(x - 28) + 6 \cdot(x - 4) \cdot(x - 28)  + 15 \cdot(x - 4) \cdot(x - 7)  - (x - 4) \cdot (x - 7)\cdot(x - 13)}{(x - 4) \cdot (x - 7)\cdot(x - 13) \cdot(x - 28)}   + =  -  \frac{1}{20}

Simplifying the numerator of the right hand side using a graphing calculator, we get;

By expanding and collecting, the terms of the numerator gives;

-(x³ - 48•x + 651•x - 2548)

Given that the terms of the numerator have several factors in common, we get;

-(x³ - 48•x + 651•x - 2548) = -(x-7)•(x-28)•(x-13)

Which gives;

\frac{-(x - 7) \cdot(x - 28)\cdot (x - 13)}{(x - 4) \cdot (x - 7)\cdot(x - 13) \cdot(x - 28)}   + =  -  \frac{1}{20}

Which gives;

\frac{-1}{(x - 4)}   + =  -  \frac{1}{20}

x - 4 = 20

Therefore;

  • x = 20 + 4 = 24

Learn more about polynomials with fractions here:

brainly.com/question/12262414

#SPJ1

5 0
2 years ago
Which is the graph of the function f(x) = x^3 + 6x^2 + 11x + 6?
Ganezh [65]
Here you go.. hope this helps

4 0
3 years ago
Angie got some money for his birthday. He spent 1/5 of it on dog treats for his puppy. Then he divided the remainder equally amo
prohojiy [21]

Answer:

225

Step-by-step explanation:

60 x 3 = 180  ($60 for each charity and there's 3 charities)

180 / (4/5) = 225  (if $180 is four fifths of his total just divide 180 by 4/5 to get the answer)

3 0
3 years ago
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