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Crazy boy [7]
3 years ago
13

Find the value of q in the following system so that the solution to the system is(4,2) 3x-2y=8

Mathematics
1 answer:
Nataliya [291]3 years ago
3 0
We have that
<span>3x-2y=8 -----> equation 1
2x+3y=Q----> equation 2

the solution is the point </span><span>(4,2)
in the equation 2 substitute the value of
x=4
y=2
so
</span>2x+3y=Q------> 2*4+3*2=Q-------> Q=8+6------> Q=14
<span>
the answer is
Q=14

</span>
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Ilya [14]
S= 11/12
15%-p=x
35-$18=n
5 0
3 years ago
Read 2 more answers
What is the solution x+2y=7 and x-2y=-1
erica [24]

\underline{+\left\{\begin{array}{ccc}x+2y=7\\x-2y=-1\end{array}\right}\qquad\text{add both sides of the equations}\\\\.\qquad\qquad2x=6\qquad\text{divide both sides by 2}\\.\qquad\qquad \boxed{x=3}\\\\\text{Put the value of x to the first equation}\\\\3+2y=7\qquad\text{subtract 3 from both sides}\\\\2y=4\qquad\text{divide both sides by 2}\\\\\boxed{y=2}\\\\Answer:\ \boxed{x=3\ and\ y=2\to(3,\ 2)}

7 0
2 years ago
A student's grade depends on her score on four equally-weighted exams. Her average on the first three exams is 92. What must she
Sergeeva-Olga [200]
3x92 = 276 (first 3 exams)
average of at least 90 (90 x 4 = 360)

360 - 276 = 84

Answer
<span>she needs to score at least 84 on the fourth exam </span><span>in order to guarantee a final average of at least 90</span>
4 0
3 years ago
What is the present value of ​$3,000 per year for 9 years discounted back to the present at 10 ​percent?
Studentka2010 [4]

Answer:

$17,277.07

Step-by-step explanation:

Present value of annuity is the present worth of cash flow that is to be received in the future, if future value is known, rate of interest is r and time is n then PV of annuity is

PV of annuity = \frac{P[1-(1+r)^{-n}]}{r}

                      = \frac{3000[1-(1+0.10)^{-9}]}{0.10}

                      = \frac{3000[1-(1.10)^{-9}]}{0.10}

                      = \frac{3000[1-0.4240976184]}{0.10}

                      = \frac{3000(0.5759023816)}{0.10}

                      = \frac{1,727.7071448}{0.10}

                      = 17,277.071448 ≈ $17,277.07

3 0
2 years ago
You can represent the measures of an angle and its complement as x° and (90 − x)°. Similarly, you can represent the measures of
UNO [17]
X = 4(180 - x)
x = 720 - 4x
4x + x = 720
5x = 720
x = 720/5
x = 144

180 - x =
180 - 144 =
36

the measure of the angle is 144...the measure of its supplement is 36
4 0
3 years ago
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