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Vlada [557]
3 years ago
12

Subtract. Express your answer in lowest form. 8 1/4 minus 5 2/3 a. 3 5/12 b. 3 7/12 c. 2 5/12 d. 2 7/12

Mathematics
2 answers:
valina [46]3 years ago
8 0

Answer:

D. 2 7/12

Step-by-step explanation:

8 1/4 - 5 2/3

Turn to improper fractions.

33/4 - 17/3

Make the denominators equal.

99/12 - 68/12

Subtract the fractions since denominators are equal.

31/12

= 2 7/12

Nady [450]3 years ago
8 0

Answer:

2 \frac{7}{12}

<em>Answer</em><em> </em><em>D</em><em> </em><em>is</em><em> </em><em>correct</em><em>.</em>

Step-by-step explanation:

8 \frac{1}{4}  - 5 \frac{2}{3}  \\  \frac{33}{4}  -  \frac{17}{3}  \\  \frac{99 - 68}{12}  \\  \frac{31}{12}  = 2 \frac{7}{12}

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five consecutive terms of an arithmetic sequence have a sum of 40. The product of the middle and the two end terms is 224. Find
ratelena [41]
Let the five terms be: a, a + d, a + 2d, a + 3d, a + 4d, then
a + a + d + a + 2d + a + 3d + a + 4d = 5a + 15d = 40
i.e. a + 3d = 8
Also, (a + 2d)(a + 3d)(a + 4d) = 224
(a + 3d - d)(a + 3d)(a + 3d + d) = 224
(8 - d)(8)(8 + d) = 224
(8 - d)(8 + d) = 224/8 = 28
64 - d^2 = 28
d^2 = 64 - 28 = 36
d = sqrt(36) = 6
But a + 3d = 8
a + 3(6) = 8
a = 8 - 18 = -10

Therefore, the term of the sequence is: -10, -10 + 6, -10 + 2(6), -10 + 3(6), -10 + 4(6)
= -10, -4, -10 + 12, -10 + 18, -10 + 24
= -10, -4, 2, 8, 14

4 0
3 years ago
I need help with this please
Levart [38]
Yu can you think how many triangles fit in that parallelogram? The answer is six. four in the central rectangle and two at the ends, then the area of ​​the parallelogram will be six times greater than that of the triangle in that graph. Good luck! M.
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3 years ago
What is 25% of 24?<br> What is 15% of 60?<br> 9 is what percent of 72
JulsSmile [24]

Answer:

6

9

6.48

Step-by-step explanation:

this is the easiest way to solve for percentage:

\frac{part}{whole} =\frac{part}{whole}  Where all the percents (except 100) would go in part

and the whole number would go in whole

\frac{25}{100} =\frac{?}{24}  Then multiply 24 × 25 ÷ 100 = 6

\frac{15}{100} =\frac{?}{60}  Multiply 60 by 25 then divided by 100 = 9

Then for the last one 9 is what percent of 72

all we have to do is multiply 9 and then convert 72 into a decimal (0.72)

Then 9 × 0.72 = 6.48

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Simplify 123 over 3
igor_vitrenko [27]

Answer:

The answer is 41

Step-by-step explanation:

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