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3 years ago

Fatima earns $150 in 4 hours. At this rate, how many hours will it take her to earn $675?

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

7 0

Answer:

$150 = 4 hours,

So, in a ratio, 4 : 150

=> 150 * 4.5 : 4 * 4.5

=> 675 : 18 hours

Therefore to earn $675 at the rate of $150 for 4 hours, Fatima will need to work for 18 hours to earn $675

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Write an iequality for -5(×+7)<-10 representing the solution for x

vovikov84 [41]

Answer:

X<-5

Step-by-step explanation:

1) open the brackets

2) take -35 to the other side with -10

where it turns to be -5X<-10+35

3) work out to find -5X<25

4) divide both sides by -5

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2 years ago

Choose all that correctly solve for x.

Tamiku [17]

Answer:

Options: A, B, and C correctly solve for x.

Step-by-step explanation:

A).

$\frac{5}{2} x$ = $\frac{15}{2}$

Multiplying both sides by 2 gives;

5x = 15

x = 15 ÷ 5 = 3

∴ This option correctly solve for x.

B).

x + $\frac{7}{2}$ = 7

x = 7 - $\frac{7}{2}$ = $\frac{14}{2} -\frac{7}{2} = \frac{7}{2}$

∴ This option correctly solve for x.

C).

x + 3 = $\frac{21}{5}$

x = $\frac{21}{5} - \frac{15}{5} = \frac{6}{5}$

But the option give x as 5/6 hence this option does not correctly solve for x.

D).

5x = 11/2

x = 11/2 ÷ 5 = 11/2 × 1/5 = 11/10

But the option gives x as 10/11 so it does not correctly solve for x.

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3 years ago

Given the equation:

Alisiya [41]

Answer:

x = 1 and x = $\frac{-4}{5}$

Step-by-step explanation:

In this equation, a=5, b=-1, c=-4.

Plug these into the quadratic formula:

x = $\frac{1+\sqrt{-1^{2}-(-4)(5)(-4) } }{2(5)}$ and x = $\frac{1-\sqrt{-1^{2}-(-4)(5)(-4) } }{2(5)}$

Now, simplify the equations:

x = $\frac{1+\sqrt{81} }{10}$ = $\frac{1+9}{10}$ = $\frac{10}{10}$ = 1

and

x = $\frac{1-\sqrt{81} }{10}$ = $\frac{1-9}{10}$ = $\frac{-8}{10}$ = $\frac{-4}{5}$

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3 years ago

(0.95x-0.04) - (0.99x-0.13)

Mandarinka [93]

Answer:

-0.04x+0.9

Step-by-step explanation:

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3 years ago

The weights of bags of ready-to-eat salad are normally distributed with a mean of 290 grams and a standard deviation of 10 grams

pentagon [3]

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280 is one standard deviation below.
All that are above mean is 50%.
One standard deviation below is 34%.
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2 years ago