Answer:
4x
Step-by-step explanation:
Convert each mixed number to an improper fraction
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Convert 6&1/2 to an improper fraction
6&1/2 = (6*2+1)/2
6&1/2 = (12+1)/2
6&1/2 = 13/2
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Do the same for 9&1/4
9&1/4 = (9*4+1)/4
9&1/4 = (36+1)/4
9&1/4 = 37/4
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Now multiply the improper fractions 13/2 and 37/4. Multiply straight across
(13/2)*(37/4) = (13*37)/(2*4)
(13/2)*(37/4) = 481/8
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The last step is to use long division to find the mixed number equivalent of 481/8
Or we an say
60*8 = 480
So 60*8+1 = 480+1
which means
481/8 = (480+1)/8 = 480/8+1/8 = 60&1/8
Making the final answer to be choice C
Another way to get the answer is to convert 481/8 into a decimal to get 60.125 and then convert that back to a mixed number. You should get 60&1/8
Answer:
9.25 or or 9 1/4
Step-by-step explanation:
Answer:
∠MON = 99
Step-by-step explanation:
∠LON = 180°
∠MON + ∠LOM = 180 -------equation
where:
∠MON = 8x - 13
∠LOM = 7x - 17
plugin values into the equation
8x - 13 + 7x - 17 = 180
8x + 7x - 13 - 17 = 180
15x - 30 = 180
15x = 180 + 30
x = 210 / 15
x = 14
plugin values to ∠MON = 8x - 13
∠MON = 8x - 13
∠MON = 8(14) - 13
∠MON = 99
Answer:
A. 2x + 5(2x + 6) = 12x + 30
Step-by-step explanation:
Infinitely many solutions means the two sides of the equation will be equal to each other, so B and D can be eliminated. Distribute for A and C to check
A. 2x + 5(2x + 6) = 12x + 30
2x + 10x + 30 = 12x + 30
12x + 30 = 12x + 30
C. 2(x + 5) + 2 = 6x + 2(x + 2)
2x + 10 + 2 = 6x +2x + 4
2x + 12 = 8x + 4
You only get the same equation for A, therefore A is the correct answer
