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blsea [12.9K]
3 years ago
12

Solve this system of equations using substitution:

Mathematics
1 answer:
irina [24]3 years ago
3 0
The substitution method means you replace the variable in one equation with the other equation, so your new equation is x+4x-8=10. Add 10 to both sides to get 5x=18. Divide both sides by 5 to get x=3.6. This is a weird equation, but then to get y, work backwords. 3.6 times 2=7.2. 7.2-4=3.2 y=3.2. Finally to finish checking solve the equation as normal. 3.6+6.4=10. I hope this helped! Please give brainliest!
Your final answer is x=3.6 y=3.2
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A bicycle shop is selling $500.00 bikes at 10% off. if the sales tax is 7% how much will the bike cost?
Vladimir [108]
The bike will cost $481.50
because 
10% off of 500 is 50 
so 500 - 50 = 450
Now include the sales tax which is
450 * 0.07 = 31.5
Now add the two totals to get 
$481.50
4 0
3 years ago
What is the median of these numbers? -59, -64, -66, -72, 73, -76, -76, 76, -84, 85
Aliun [14]
The answer is -65, hope this helped!
6 0
3 years ago
Sebastian solved the radical equation y + 1 = but did not check his solution. (y + 1)2 = y2 + 2y + 1 = –2y – 3 y2 + 4y + 4 = 0 (
Softa [21]

Answer:

There are no true solutions to the equation.

Step-by-step explanation:

<u><em>The correct equation is</em></u>

y+1=\sqrt{-2y-3}

Solve for y

squared both sides

(y+1)^2=(-2y-3)

(y^2+2y+1)=(-2y-3)

y^2+2y+1+2y+3=0

y^2+4y+4=0

(y+2)(y+2)=0

y=-2

<em>Verify</em>

substitute the value of y in the original expression

-2+1=\sqrt{-2(-2)-3}

-1=1 ----> is not true

therefore

There are no true solutions to the equation.

4 0
3 years ago
A contractor has submitted bids on three state jobs: an office building, a theater, and a parking garage. State rules do not all
german

Answer:

The following are the answer to this question:

Step-by-step explanation:

In the given question the numeric value is missing which is defined in the attached file please fine it.  

Calculating the probability of the distribution for x:

\to f(x) = 0.19\  for \ x=14\\\\\to  f(x) = 0.29 \ for\ x=7\\\\\to f(x) = 0.38\  for \ x=1\\\\\to f(x)=0.14 \ for \ x=0\\

The formula for calculating the mean value:

\bold{ E(X)= x \times f(x)}

          =14 \times 0.19+7 \times 0.29+1 \times 0.38+0\times 0.14\\\\=2.66 + 2.03+0.38+ 0\\\\=5.07

\bold{E(X^2) = x^2 \times f(x)}

           =14^2 \times 0.19+7^2 \times 0.29+1^2 \times 0.38+0^2 \times 0.14 \\\\=196 \times 0.19+ 49 \times 0.29+1 \times 0.38+0 \times 0.14\\\\= 37.24+ 14.21+ 0.38+0 \\\\=51.83

use formula for calculating the Variance:

\to \bold{\text{Variance}= E(X^2) -[E(X)]^2}

                  = 51.83 - (5.07)^2\\\\= 51.83 -  25.70\\\\=26.13

calculating the value of standard deivation:

Standard Deivation (SD) = \sqrt{Variance}

                                          = \sqrt{26.13} \\\\=5.111

6 0
3 years ago
janet completed 8 math problems in 10 minutes. How long per question did janet spend(in minutes and seconds)?
Dominik [7]
It would take 1.25 minutes to complete each problem because 10 divided by 8 equals 1.25
5 0
3 years ago
Read 2 more answers
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