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Tom [10]
2 years ago
7

1/2 + (-1/4)=????????????

Mathematics
1 answer:
erica [24]2 years ago
5 0

Answer:

\frac{1}{4}

Step-by-step explanation:

\frac{1}{2} = \frac{2}{4}  We need a common denominator before we can add.

\frac{2}{4} + \frac{-1}{4}  means the same thing as

\frac{2}{4} - \frac{1}{4} = \frac{1}{4}

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Jessica believes that 10³ − 1 is divisible by 9. Support or refute her claim using your work in this lesson.
lutik1710 [3]

Answer:

Yes, it is divisible by 9

Step-by-step explanation:

10^3 is equal to 10*10*10 = 1000

If 1 is substracted, the result is 999

999 / 9 = 111

So 10^3 - 1 is divisible by 9

8 0
3 years ago
Lmc and gfc of 3,5 and 6
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Lcm is 30 and gcf is 1

Step-by-step explanation:

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A package is secured with ribbon. Two pieces of ribbon,
lutik1710 [3]

Answer:

A total of 387 centimeters of ribbon are used.

Step-by-step explanation:

We already know that two out of three pieces of ribbon are 1.25 meters.

The third piece of ribbon is 120 millimeters (mm) longer.

1 millimeters = 0.001 meters

120 x 0.001 = 0.12

That means that the third piece of ribbon is 0.12 meters longer than the first two. The length of the third ribbon is 1.25 m + 0.12 m = 1.37 m

In order to find the total number of meters of ribbon used, we need to do addition.

1.25 m + 1.25 m + 1.37 m = 3.87 m

But, the question is asking us the number of centimeters of ribbon that are used.

1 m = 100 cm

3.87 x 100 = 387 cm

Therefore, a total of 387 centimeters of ribbon are used.

Hope this helps! Have a blessed day! :)

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What is the length of LM if L(3,4) and M(1,-2)? Round to the nearest tenth.
kari74 [83]

Answer:

We conclude that the length of LM if L(3,4) and M(1,-2) will be:

d = 6.3

Hence, option D is correct.

Step-by-step explanation:

Given

  • L(3,4)
  • M(1,-2)

Determining the length of LM

  • (x₁, y₁) = (3, 4)
  • (x₂, y₂) = (1, -2)

The length of the distance between (x₁, y₁)  and (x₂, y₂)  can be determined using the formula

d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

substituting (x₁, y₁) = (3, 4) and (x₂, y₂) = (1, -2)

   =\sqrt{\left(1-3\right)^2+\left(-2-4\right)^2}

   =\sqrt{2^2+6^2}

   =\sqrt{4+36}

   =\sqrt{40}

   =\sqrt{4\times 10}

   =\sqrt{2^2\times \:10}

   =2\sqrt{10}

   =6.3

Therefore, we conclude that the length of LM if L(3,4) and M(1,-2) will be:

d = 6.3

Hence, option D is correct.

5 0
3 years ago
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