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3 years ago

11

Which algebraic expression represents “Marcus practiced the trumpet twice as long this week”?2 + p2pp minus 2StartFraction p Ove

r 2 EndFraction

2 answers:

Tanya [424]3 years ago

6 0

Answer:

B) 2p

Step-by-step explanation:

muminat3 years ago

4 0

Answer:

B-2p

Step-by-step explanation:

Just took the quiz and got 100% good luck! And hope this helps!

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Who wants some free points

Alona [7]

Answer:

thanksssss! <3 :))))))))))

Step-by-step explanation:

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3 years ago

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What is the ratio of the area of the inner square to the area of the outer square?

Anastasy [175]

Answer:

$\frac{(a-b)^2+b^2}{a^2}$

Step-by-step explanation:

Since, By the given diagram,

The side of the inner square = Distance between the points (0,b) and (a-b,0)

$=\sqrt{(a-b-0)^2+(0-b)^2}$

$=\sqrt{(a-b)^2+b^2}$

Thus the area of the inner square = (side)²

$=(\sqrt{(a-b)^2+b^2})^2$

$=(a-b)^2+b^2\text{ square cm}$

Now, the side of the outer square = Distance between the points (0,0) and (a,0),

$=\sqrt{(a-0)^2+0^2}$

$=\sqrt{a^2}=a$

Thus, the area of the outer square = (side)²

$=a^2\text{ square cm}$

Hence, the ratio of the area of the inner square to the area of the outer square

$=\frac{(a-b)^2+b^2}{a^2}$

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3 years ago

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A sixth grade math student made this conjecture: every prime number can be expressed as the product of two prime numbers. Do you

iren [92.7K]

Answer:

No, I do not agree with the conjecture because 1 is not a prime number.

Step-by-step explanation:

A prime number is one that can be divided by 1 and itself only. Thus it can be expressed in 2 factors only, 1 and the number itself.

Examples are; 2, 3, 5, 13, 19 , 23 etc.

So, 2 = 1 x 2

3 = 1 x 3

23 = 1 x 23

Prime numbers must be expressed as the product of 1 and the number.

The conjecture that every prime number can be expressed as the product of two prime numbers is false. Because 1 is not a prime number, since it has no 2 factors.

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3 years ago

The simple interest on a loan of $6000 for 3 years was $900. What was the rate of interest per annum

Thepotemich [5.8K]

Answer:

5%

Step-by-step explanation:

900/3=300

300/6000=0.05

0.05=5%

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3 years ago

Steven put together 981 pieces of a puzzle. About how many pieces did he put together? Round to the nearest thousand. Use what y

Colt1911 [192]

About 1,000 puzzle pieces

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2 years ago