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2 years ago

Ann made $143 for 11 hours of work.

2 answers:

5 0

Answer: 19

Explanation:
143/11=13
therefore Ann makes $13 a hour
243/13=approx 18.692
this can be rounded up to 19, as she likely makes money hourly

Therefore she must work for 19 hours to make $243

Anna35 [415]2 years ago

3 0

Answer:

22 hours

Step-by-step explanation:

So, 143 equals eleven hours. 143 plus 143 would equal 243. So, you have two 143s which means you should multiply the 11 hours by two. 11x2 equals 22.

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When the sum of \, 528 \, and three times a positive number is subtracted from the square of the number, the result is \, 120. F

aleksandr82 [10.1K]

Let $x$ be the unknown number. So, three times that number means $3x$ , and the square of the number is $x^2$

We have to sum 528 and three times the number, so we have $528+3x$

Then, we have to subtract this number from $x^2$ , so we have

$x^2-(3x+528)$

The result is 120, so the equation is

$x^2 - 3x - 528 = 120 \iff x^2 - 3x - 648 = 0$

This is a quadratic equation, i.e. an equation like $ax^2+bx+c=0$ . These equation can be solved - assuming they have a solution - with the following formula

$x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

If you plug the values from your equation, you have

$x_{1,2} = \dfrac{3\pm\sqrt{9-4\cdot(-648)}}{2} = \dfrac{3\pm\sqrt{9+2592}}{2} = \dfrac{3\pm\sqrt{2601}}{2} = \dfrac{3\pm51}{2}$

So, the two solutions would be

$x = \dfrac{3+51}{2} = \dfrac{54}{2} = 27$

$x = \dfrac{3-51}{2} = \dfrac{-48}{2} = -24$

But we know that x is positive, so we only accept the solution $x = 27$

6 0

3 years ago

Solve for the variable.<br> x - 2/7=9/7

stellarik [79]

Answer:

x = 11/7

Step-by-step explanation:

x - 2/7 = 9/7

x = 9/7 + 2/7

x = 11/7

7 0

2 years ago

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Determine whether $10.62/61lb = $7.05/4lb form a proportion. Explain.

Jlenok [28]

It would be $1.76 for 1 lb, then you would times that by 61 and if it equals 10.62, it is proportional. I multiplied it and got $109.28/ 62 lbs so it can not form a proportion.

5 0

2 years ago

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Transform this equation to slope-intercept form: 6x + 4y = 8

JulsSmile [24]

Basically, ur just solving for y

6x + 4y = 8...subtract 6x from both sides
4y = -6x + 8....now divide both sides by 4
y = (-6/4)x + 8/4...reduce
y = -3/2x + 2 <=== slope intercept form

3 0

3 years ago

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Plz help! It is a Grade! I will do brainsiest

ikadub [295]

Answer: I can only see the big boxes so will answer them

5/6 - 1/3

Multiply the two denominators together get 18

Then multiply the bottom denominator with the opposite numerator

The sum has now changed to:

15/18 - 6/18

15 - 6 = 9

9/18 can then be simplified to 1/2

3 0

2 years ago