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Nadya [2.5K]
3 years ago
5

What is the value of the numerical expression 5/8-5/12(3-1/4)+2/3

Mathematics
1 answer:
vlabodo [156]3 years ago
3 0
Make bottom numbers same
find least common multipules of 8,12,4 and 3
8=2 times  2 times 2
12=2 times 2 times 3
4=2 times 2
3=3
lcm=2 times 2 times 2 times 3=24

5/8 times 3/3=15/24
5/12 times 2/2=10/24
3/1 times 24/24=72/24
1/4 times 6/6=6/24
2/3 times 8/8=16/24
we now have
15/24-10/24(72/24-6/24)+16/24
pemdas
simplify parenthasees first
72/24-6/24=66/24

now we have
15/24-10/24(66/24)+16/24
multiply
15/24-660/576+16/24
make same bottom number
15/24 times 24/24=360/576
16/24 times 24/24=384/576
360/576-660/576+384/576
84/576
7/48

answer is 7/48
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48 + 72
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4 years ago
A laptop company claims up to 11.0 hours of wireless web usage for its newest laptop battery life. However, reviews on this lapt
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Answer:

Step-by-step explanation:

given that a  laptop company claims up to 11.0 hours of wireless web usage for its newest laptop battery life. However, reviews on this laptop shows many complaints about low battery life. A survey on battery life reported by customers shows that it follows a normal distribution with mean 10.5 hours and standard deviation 27 minutes.

convert into same units into hours.

X is N(10.5, 0.45)

a)  the probability that the battery life is at least 11.0 hours

P(X\geq 11)\\\\=1-0.8667\\=0.1333

(b)  the probability that the battery life is less than 10.0 hours

=P(X

(c)  the time of use that is exceeded with probability 0.97

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d)  The time of use that is exceeded with probability 0.9 is

is 90th percentile = 10.885

8 0
3 years ago
70x 6,000 as associative
Vinvika [58]

Answer:

70 x 6000 = 6000 x 70

Explanation:

The associative of multiplication means the items can be regrouped without changing the answer: a(bc) = (ab)c. This means 70 x 6000 = 70 x 6 x 1000.

5 0
3 years ago
Suppose you have a ​$8-off coupon at a fabric store. You buy fabric that costs ​$7.50 per yard. Write an equation that models th
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Answer:

= 7.5x-8

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total cost = 7.5 x - 8

y = 7.5x-8

8 0
3 years ago
Read 2 more answers
Find two integers whose sum is -9 and product is -10
BigorU [14]

Step-by-step explanation:

if the two integers are x and y

xy=-10

x+y=-9

x+(-10/x)=-9

x2+9x-10=0

(x-1)(x+10)=0

x=1 or x=-10

if x=1, y=-10

if x=-10, y=1

so the two integers are 1 and -10

5 0
3 years ago
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