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Mariana [72]
3 years ago
10

5x - 2y = 3 -5x + 4y = 9 Solve the system of equations.

Mathematics
1 answer:
harkovskaia [24]3 years ago
6 0
5x - 2y = 3
-5x + 4y = 9
_________
2y =12
2y/2= 12/2
y = 6

5x - 2(6) = 3
5x -12 = 3
5x -12+12 = 3+12
5x = 15
5x/5 = 15/5
x = 3

Check
-5(3) + 4(6) = 9
-15+24=9
9=9
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b. 3

Step-by-step explanation:

20-17=3

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A dump truck pours sand into a container in the shape of a rectangular prism with a square base of length 2 feet. The height, h,
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I think the answer is 24 minutes!

Step-by-step explanation:

I hope this helps!

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A motel in New Orleans charges $90 per day for double occupancy and $80 per day for single occupancy during off-season. If 80 ro
kkurt [141]

double occupancy room=x

single occupancy room=y

x + y =   80,    

90x + 80y = 6930

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5 0
3 years ago
Thomas took three 100-point quizzes, and the mean score for the three quizzes was 87 points. If the highest score is taken away,
Olegator [25]

Answer:

The highest score is 94.

Step-by-step explanation:

Let the highest score be denoted by, <em>A</em>, the lowest score be, <em>B</em> and the middle score be <em>X</em>.

Then,

A + X + B = 87 × 3 = 261 ...(i)

X + B = 83.5 × 2 = 167 ...(ii)

⇒ B = 167 - X ...(iii)

A + X = 89 × 2 = 178 ...(iv)

⇒ A = 178 - X ...(v)

Substitute (iii) and (v) in (i) and solve for <em>X</em> as follows:

A + X + B = 261

178 - X + X + 167 - X = 261

345 - X = 261

X = 84

Substitute the value of <em>X</em> in (iii) and solve for B as follows:

B = 167 - X

   = 167 - 84

   = 83

Substitute the value of <em>X</em> in (v) and solve for A as follows:

A = 178 - X

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5 0
3 years ago
Two angels re supplementary. The larger angle is 48 degrees more than the 10 times the smaller angle. Find the measure of each a
evablogger [386]
Supplementary angles are two angles that add up to 180°.

STEP 1:
find the value of x

x= smaller angle
10x + 48= larger angle

Add the two angles above to equal 180.

x + (10x + 48)= 180
combine like terms

11x + 48= 180
subtract 48 from both sides

11x= 132
divide both sides by 11

x= 12° smaller angle


STEP 2:
find the value of the second angle

=10x + 48
=10(12) + 48
=120 + 48
=168° larger angle


CHECK:
12° + 168°= 180°
180°= 180°


ANSWER: The smaller angle is 12° and the larger angle is 168°.

Hope this helps! :)
8 0
3 years ago
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