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Paraphin [41]
3 years ago
15

Jenna scored 16 soccer goals in 4 games for her team. If she keeps scoring at the same rate, how many games do we expect it to t

ake for Jenna to score 36 goals?
A. 6 games
B. 9 games
C. 12 games
Mathematics
2 answers:
VladimirAG [237]3 years ago
6 0

Answer: B. 9 Games

Step-by-step explanation: Because 4 x 9 = 36 goals.  Hope this helps! If not, I am sorry :(  If it does work, Your Welcome! :)

Olin [163]3 years ago
3 0

Answer: B. 9 games

Step-by-step explanation: if you divide 16 by 4 you get 4. she makes 4 goals each game. if you multiply 4 by 9 you get 36 goals.

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I am in need of assistance.
Alex_Xolod [135]

Answer:

A. x = 6.08, x = -0.58

Step-by-step explanation:

  • \displaystyle \frac{2x}{x-4}-\frac{2x-5}{x^2-10x+24}=\frac{-3}{x-6}

1. Factor the denominator.

  • \displaystyle \frac{2x}{x-4}-\frac{2x-5}{(x-6)(x-4)}=\frac{-3}{x-6}

2. Multiply the leftmost fraction by (x-6)/(x-6) to get common denominators.

  • \displaystyle \Big ( \frac{x-6}{x-6} \Big ) \frac{2x}{x-4}-\frac{2x-5}{(x-6)(x-4)}=\frac{-3}{x-6}

3. Simplify.

  • \displaystyle \frac{2x^2-12x}{(x-4)(x-6)}-\frac{2x-5}{(x-6)(x-4)}=\frac{-3}{x-6}  

4. Combine like terms.

  • \displaystyle \frac{2x^2-14x+5}{(x-4)(x-6)}=\frac{-3}{x-6}  

5. Multiply the right side of the equation by (x-4)/(x-4).

  • \displaystyle \frac{2x^2-14x+5}{(x-4)(x-6)}=\frac{-3}{x-6} \Big ( \frac{x-4}{x-4}  \Big )  

6. Simplify.

  • \displaystyle \frac{2x^2-14x+5}{(x-4)(x-6)}=\frac{-3x+12}{(x-6)(x-4)}

7. "Cancel" out the denominators because they are equivalent.

  • 2x^2-14x+5=-3x+12

8. Set the equation equal to 0.

  • 2x^2-11x-7=0

Quadratic formula:

  • \displaystyle x = \frac{-b\pm \sqrt{b^2-4ac} }{2a}  

9. Factor using the quadratic formula.

  • \displaystyle x = \frac{-(-11)\pm \sqrt{(-11)^2-4(2)(-7)} }{2(2)}

10. Multiply and simplify.

  • \displaystyle x = \frac{11 \pm \sqrt{177} }{4}

11. Plug this into your calculator and solve for x.

  • x=6.07603367 \approx 6.08
  • x=-0.57603367 \approx -0.58

The correct answer is A. x = 6.08, x = -0.58.

8 0
3 years ago
RTS=90 <br> RTX=____AND ____ ILL GIVE U A BRAINLEST
LuckyWell [14K]
Do you have a picture?
7 0
4 years ago
Tonja is a married taxpayer who claims 2 withholding allowances. She earns
viva [34]

The amount that Tonja will save in Federal Income and FICA Taxes if she has her childcare expenses deducted from her check before taxes is: $26.17

<h3>What is Federal Income Tax?</h3>

Federal Income Tax is a tax that is levied by the Federal Government and most states in the United States of America. It comprises of 7 tax rates.

<h3>What is FICA Tax?</h3>

FICA Tax is a Federal Insurance Contributions Act Tax. This tax is levied on every payroll of employees to fund Social Security and Medicare programs. This is divided into two parts:

  • Social Security Tax which is 6.2% and
  • Medicare Tax which is 1.45%. The total is 7.65%

How to calculate Tonja's Tax before deduction

Federal Tax rate first level is 10% on 0$ - $19,900.

1) Hence, the first tax is 10% on $600, which is $60

2) The next tax is FICA. This is applied to the Gross Pay of $600.

Applying both taxed under FICA we have 7.65% * $600 = $45.9

Total Tax before a deduction is:

$60 + $45.9 = $105.6

The Tax Payable if childcare expenses is deducted first will be:

10% on $450     = $45

7.65% on $450 = $34.43

Total                   = $79.43

Hence the tax savings will be:

105.6 - 79.43 = $26.17

Learn more about FICA Tax at:
brainly.com/question/3214345


3 0
2 years ago
Find the value of x ..... Thanks
Helga [31]

\dfrac{|AE|}{|AD|}=\dfrac{|AB|}{|AC|}

Therefore:
\dfrac{10}{10+8}=\dfrac{x}{10}\\\\\dfrac{10}{18}=\dfrac{x}{10}\\\\18x=100\\x=\dfrac{100}{18}=5.555\ldots=5.\overline{5}

So, none of the choices are correct (5.5 is an approximation).

5 0
2 years ago
A 132-inch board is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.
pav-90 [236]
132=3x+x
132=4x
x=33
The length of the shorter piece is 33 inches
7 0
3 years ago
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