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Katena32 [7]
2 years ago
9

10=ax-3b solve for x

Mathematics
2 answers:
Finger [1]2 years ago
8 0
10 = ax - 3b

First, add 3b to both sides. / Your problem should look like: 10 + 3b = ax.
Second, divide both sides by a. / Your problem should look like: \frac{10 + 3b}{a} = x.
Third, switch sides. / Your problem should look like: x = \frac{10 + 3b}{a} which is your answer.

svetlana [45]2 years ago
3 0
10 = ax - 3b
10 + 3b = ax

x = (10+3b)/a
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One week, Abigail earned $396.80 at her job when she worked for 16 hours. If she is paid the same hourly wage, how many hours wo
Delicious77 [7]
$396.80 divided by 16 to find the hourly wage you get $24.80 per hours so she works 1 hour to get that much so then in order to compute the amount of hours she’ll have to work you divide $148.80 by $24.80 to get 6. She has to work 6 hours to earn $148.80.
3 0
2 years ago
Yohanne and Mikaela completed a 1-km race. Yohanne finished the race 1 minute after Mikaela. If the speed of Mikaela is 50 meter
lilavasa [31]

Answer: 5 min

Step-by-step explanation:

Given

Length of the race track l=1\ km\ or\ 1000\ m

Suppose the speed of Yohanne is v_y=x\ m/min.

then  Mikaela speed is v_m=50+x

the difference in the finishing time is 1 minute i.e.

\Rightarrow \dfrac{1000}{x}-\dfrac{1000}{50+x}=1\\\\\Rightarrow \dfrac{50+x-x}{x(50+x)}=\dfrac{1}{1000}\\\\\Rightarrow \dfrac{50}{x(50+x)}=\dfrac{1}{1000}\\\\\Rightarrow x^2+50x-50,000=0\\\\\Rightarrow x^2+250x-200x-50,000=0\\\\\Rightarrow (x+250)(x-200)=0\\\\\Rightarrow x=200\ m/min.

Time taken by Yohanne is

\Rightarrow t=\frac{1000}{200}=5\ min

7 0
1 year ago
Find the solution set of the following equations: <br><br>2y=2x+7<br><br>X=y+2
kirill115 [55]

Answer:

The system of equations has no solution.

Step-by-step explanation:

Given the system of equations

2y = 2x+7

x = y+2

solving the system of equations

\begin{bmatrix}2y=2x+7\\ x=y+2\end{bmatrix}

Arrange equation variables for elimination

\begin{bmatrix}2y-2x=7\\ -y+x=2\end{bmatrix}

Multiply -y+x=2 by 2:  -2y+2x=4

\begin{bmatrix}2y-2x=7\\ -2y+2x=4\end{bmatrix}

so adding

-2y+2x=4

+

\underline{2y-2x=7}

0=11

so the system of equations becomes

\begin{bmatrix}2y-2x=7\\ 0=11\end{bmatrix}

0 = 11 is false, therefore the system of equations has no solution.

Thus,

No Solution!

3 0
2 years ago
The quadratic model f(x)=-5x^2 +200 represents the approximate height, in meters, of a ball x seconds after being dropped. The b
mel-nik [20]

Answer:

Third option: 5.48

Step-by-step explanation:

Given the quadratic  model that represents the approximate height in meters of the ball f(x)=-5x^2 +200. the time in seconds x, when the ball is 50 meters from the ground can be calculated by substituting f(x)=50 and solving for x.

Then:

50=-5x^2 +200

Subtract 200 from both sides:

-200+50=-5x^2 +200-200\\-150=-5x^2

Divide both sides by -5:

\frac{-150}{-5}=\frac{-5x^2}{-5}\\30=x^2

Apply square root to both sides:

\sqrt{30}=\sqrt{x^2}\\\sqrt{30}=x\\5.48=x

The ball is 50 meters from the ground after about 5.48 seconds.

3 0
2 years ago
What is the difference of the fractions? Use the number line to help find the answer. StartFraction 1 over 5 EndFraction minus t
Basile [38]

Answer:

- 11/20

Step-by-step explanation:

1/5 - 3/4

Make denominators equal.

4/20 - 15/20

Subtract the fractions.

- 11/20

3 0
2 years ago
Read 2 more answers
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