MATHEMATICS HIGH SCHOOL

Mary has three lengths of cable, 3/6 yard long, 1/4 yard long, and 1/3 yard long, which two pieces together make a length of 20/24 yard? I

Answers

Answer 1
Answer:

Answer:

(3)/(6)+(1)/(3)

Step-by-step explanation:

To answer this question, we have to sum each pair of cable and see which one results in 20/24.

(3)/(6)+(1)/(4)=(12+6)/(24)=(18)/(24)=(3)/(4)

(3)/(6)+(1)/(3)=(9+6)/(18)=(15)/(18)=(5)/(6)

(1)/(4)+(1)/(3)=(3+4)/(12)=(7)/(12)

Now, if we simply 20/24, we have:

(20)/(24)=(10)/(12)=(5)/(6)

As you can see, the answer is the second sum above, because they have the same basic fraction.

Therefore, the answer is

(3)/(6)+(1)/(3)
Answer 2
Answer:

Answer:

3/6 + 1/3

Step-by-step explanation:

20/24 can be devided top and bottom by 4 which would equal 5/6, if you add 3/6 + 1/3 also equals 5/6.

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Theo used to drive 60 miles to work each day. His new home is now 20 miles awayfrom his job. What is the percent of
decrease in the distance Theo travels to
work? Round to the nearest tenth if
necessary.

Answers

The percentage of decrease in the distance Theo travels to work is 66.7%.

Used concept of percentage;

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating the hundredth part of any quantity is called a percentage.

Given that;

Theo used to drive 60 miles to work each day.

And, His new home is now 20 miles away from his job.

Hence the percentage of decrease in the distance Theo travels to work is,

P = (60 - 20)/60 x 100

P = 40/60 x 100

P = 66.7%

So, The percentage of decrease in the distance Theo travels to work is 66.7%.

Learn more about the percentage visit:

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#SPJ3

Answer:

66.6% decrease in distance

Rounded 67%

He is traveling 1/3 of what he used to travel

Step-by-step explanation:

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Answers

Answer:

3 1/6

Step-by-step explanation:

Since it says HOW MANY MORE, you need to subtract.

Answer:

I don't know but maybe 3 in a half

If 3 pounds of potato-salad feeds 15 people, how many pounds would you need for 200 people?

Answers

If 3 pounds of potato salad feeds 15 people, then 1 pound of potato salad would feed 5 people. Now divide 200 by 5 to get the number of pounds. 200/5 = 40 pounds

the volume of a sphere is 950 cubic inches. use the formula for the volume of a sphere, V= 4/3(3.14)(r)ratical 3, to find the radius r to the nearest tenth of an inch.

Answers

Given:
Volume = 950 cubic inches

V = 4/3 π r³ ; where π = 3.14

950 in³ = 4/3 * 3.14 * r³
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Which value of a in the exponential function below would cause the function to stretch?

Answers

Answer:

f(x)=a(1/3)x      D.  1.5

Step-by-step explanation:

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Find the first six terms of the sequence. a1 = 4, an = an-1 + 8

OPTIONS ARE
a. 0, 8, 16, 24, 32, 40
b. 12, 20, 28, 36, 44, 52
c. 4, 12, 20, 28, 36, 44
d. 4, 8, 16, 24, 32, 40

Answers

The arithmetic sequence:
a 1 = 4,  a n = a n-1 + 8,  d = 8
a 2 = 4 + 8 = 12
a 3 = 12 + 8 = 20
a 4 = 20 + 8 = 28
a 5 = 28 + 8 = 36
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Answer:
C ) 4, 12, 20, 28, 36, 44

Answer:

(C) 4, 12, 20, 28, 36, 44

Step-by-step explanation:

Given: a_(1)=4 and a_(n)=a_(n-1)+8

To find: Find the first six terms of the sequence

Solution: Since, it is given that a_(1)=4 and a_(n)=a_(n-1)+8, then the first term is 4 and the common difference, d=8.

Thus, the next terms are:

a_(2)=a_(1)+8=4+8=12,

a_(3)=a_(2)+8=12+8=20,

a_(4)=a_(3)+8=10+8=28,

a_(5)=a_(4)+8=28+8=36 and

a_(6)=a_(5)+8=36+8=44

Thus, the first six terms of the sequence will be 4, 12, 20, 28, 36, 44.

thus, option C is correct.
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