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BlackZzzverrR [31]
3 years ago
6

Mariah worked for 3 hours and earned a total of $28.50 Which equation can be used to find r the amount of money Mariah earns an

hour
Mathematics
1 answer:
bixtya [17]3 years ago
3 0
Mariah earn 9.5 an hour
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I really need help here ASAP​
AlexFokin [52]

Answer:

D. x=\frac{-4-\sqrt{31}}{3} or  x=\frac{-4+\sqrt{31}}{3}

Step-by-step explanation:

The given equation is:

3x^2+8x=5

Divide through by 3;

x^2+\frac{8}{3}x=\frac{5}{3}

Add the square of half the coefficient of x to both sides.

x^2+\frac{8}{3}x+(\frac{4}{3})^2=\frac{5}{3}++(\frac{4}{3})^2

x^2+\frac{8}{3}x+\frac{16}{9}=\frac{5}{3}+\frac{16}{9}

The left hand side is now a perfect square:

(x+\frac{4}{3})^2=\frac{31}{9}

Take square root

x+\frac{4}{3}=\pm \sqrt{ \frac{31}{9}}

x=-\frac{4}{3}\pm \sqrt{ \frac{31}{9}}

x=-\frac{4}{3}\pm \frac{\sqrt{31}}{3}

D. x=\frac{-4-\sqrt{31}}{3} or  x=\frac{-4+\sqrt{31}}{3}

5 0
3 years ago
Allison’s cupcake and cookie budget for her party is $105. She would like to have at least 40 cupcakes and cookies combined, and
FinnZ [79.3K]

Answer:

a + b ≥ 40

a + 5 ≤ b

2.50a + 1.50b ≤ 105

Step-by-step explanation:

We are told she would like to have at least 40 cupcakes and cookies combined.

If a is number of cupcakes and b is number of cookies, then this inequality is;

a + b ≥ 40

Secondly, we are told she would like to have at most 5 more cupcakes than cookies.

Thus, the inequality is;

a + 5 ≤ b

Lastly, we are told that cupcakes sell for $2.50 and cookies for $1.50

Thus, the inequality is;

2.50a + 1.50b ≤ 105

Finally, the 3 inequalities are;

a + b ≥ 40

a + 5 ≤ b

2.50a + 1.50b ≤ 105

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3 years ago
In Alaska, the temperature at noon was 18 degrees<br> below zero. is it positive/negative?
olasank [31]
Negative, because it’s -18 degrees not 18 degrees
8 0
3 years ago
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