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Vaselesa [24]
2 years ago
8

Follow the directions to solve the system of equations by elimination. 8x + 7y = 39 4x – 14y = –68 Multiply the first equation t

o enable the elimination of the y-term. Add the equations to eliminate the y-terms. Solve the new equation for the x-value. Substitute the x-value back into either original equation to find the y-value. Check the solution. The solution to the system of equations is (, ).
Mathematics
2 answers:
igomit [66]2 years ago
6 0
8x +7y = 39 multiply everything by 2
2(8x +7y = 39)
16x +14y = 78
+4x - 14y= -68
-------------------------
20x = 10
20x /20 = 10/20
x = 1/2

Plug x into first formula
8 x + 7y =39
8(1/2) 7y=39
4+ 7y =39
4-4+7y =39-4
7y =35
7y/7 = 35/7
y = 5
(1/2, 5)
sattari [20]2 years ago
3 0

Answer:

1/2, 5

Step-by-step explanation

i guessed

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If ray JG is an angle bisector of ∠FJH, find m∠FJH.
miss Akunina [59]

Answer:

m∠FJH=60°

Step-by-step explanation:

The complete question is

JG bisects FJH, FJG= (2x + 4)° and GJH = (3x -9)°  

What is FJH

we know that

m∠FJH=m∠FJG+m∠GJH -----> equation A

If ray JG is an angle bisector of ∠FJH

then

m∠FJG=m∠GJH -----> equation B

substitute the given values in equation B and solve for x

(2x + 4)°=(3x -9)°

3x-2x=4+9

x=13

Find the measure of angle FJH

m∠FJH=(2x + 4)°+(3x -9)°

substitute the value of x

m∠FJH=(2(13) + 4)°+(3(13) -9)°

m∠FJH=(30)°+(30)°

m∠FJH=60°

3 0
2 years ago
Kellianne lined up the interior angles of the triangle along line p below.
Tanzania [10]

Answer:1,4,5,2

Step-by-step explanation:

4 0
2 years ago
Jun and deron are applying for summer jobs at a local restaurant. after interviewing them, the restaurant owner says, "the proba
mr Goodwill [35]
<span>As restaurant owner The probability of hiring Jun is 0.7 => p(J) The probability of hiring Deron is 0.4 => p(D) The probability of hiring at least one of you is 0.9 => p(J or D) We have a probability equation: p(J or D) = p(J) + p(D) - p(J and D) => 0.9 = 0.7 + 0.4 - p(J and D) p(J and D) = 1.1 - 0.9 = 0.2 So the probability that both Jun and Deron get hired is 0.2.</span>
6 0
2 years ago
A teacher reviews 4-1/2 papers per hour, how many papers will that teacher review in 6-1/3 hours
MrRa [10]

Answer:

28\frac{1}{2}\ papers

Step-by-step explanation:

step 1

Convert mixed numbers to an improper fractions

4\frac{1}{2}=\frac{4*2+1}{2}=\frac{9}{2}

6\frac{1}{3}=\frac{6*3+1}{3}=\frac{19}{3}

step 2

we know that

A teacher reviews 9/2 papers per hour

using proportion

Find how many papers will the teacher review in 19/3 hours

Let

x-----> the number of papers

(9/2)/1=x/(19/3)

x=(19/3)(9/2)

x=28.5\ papers

Convert to mixed numbers

28.5=28\frac{1}{2}\ papers

5 0
2 years ago
Monica reads 7 1/2 pages of a mystery book in 9 minutes. What is her average rate in pages per minute
Anna007 [38]

the answer is the number of pages divided by the number of minutes.

7.5/9=0.833333, so she reads on average 0.83 pages per minute

4 0
2 years ago
Read 2 more answers
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