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3 years ago

Which expressions are equivalent to 7b(3+c) ?

Mathematics

2 answers:

TEA [102]3 years ago

5 0

Answer:

21b+7bc

(7b⋅3)+(7b⋅c)

Step-by-step explanation:

7b(3+c)

distribute

7b* 3 + 7b *c

21b + 7bc

Alex777 [14]3 years ago

4 0

Answer:

The correct answer is B- 21b+7bc

Step-by-step explanation:

7b(3+c)

(7b)(3+c)

(7b)(3)+(7b)(c)

21b+7bc

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tresset_1 [31]

It’s d it’s d the answer is d

7 0

3 years ago

Read 2 more answers

find the least perfect square that is exactly divisible by each of the numbers 5 , 18 , 25 and 27 .

Dimas [21]

<h3>☂︎ Answer :- </h3>

8100

<h3>☂︎ Solution :- </h3>

LCM of 5 , 18 , 25 and 27 = 2 × 3³ × 5²
2 and 3 have odd powers . To get a perfect square, we need to make the powers of 2 and 3 even . The powers of 5 is already even .

In other words , the LCM of 5 , 18 , 25 and 27 can be made a perfect square if it is multiplied by 2 × 3 .

The least perfect square greater that the LCM ,

☞︎︎︎ 2 × 3³ × 5² × 2 × 3

☞︎︎︎ 2² × 3⁴ × 5²

☞︎︎︎ 4 × 81 × 85

☞︎︎︎ 100 × 81

☞︎︎︎ 8100

8100 is the least perfect square which is exactly divisible by each of the numbers 5 , 18 , 25 , 27 .

7 0

2 years ago

Rewrite each expression without using absolute value notation |7m-56| if m<8

dusya [7]

Considering the definition of the absolute value function, the expression is written as -7m + 56.

<h3>What is the definition of the absolute value function?</h3>

The absolute value function is defined as follows:

$|x| = x, x \geq 0$ .

$|x| = -x, x < 0$

That is, where the expression is negative, it is multiplied by -1, while where it is not negative the expression is kept.

In this problem, the expression is:

|7m - 56|

For m < 8, we have that one example is m = 0:

7(0) - 56 = -56.

The expression is negative, hence the signal is changed, that is:

|7m - 56| = -(7m - 56) = -7m + 56.

More can be learned about the absolute value function at brainly.com/question/24734454

#SPJ1

7 0

2 years ago

Use the Empirical Rule to answer each question.

Oliga [24]

Step-by-step explanation:

(a)

the probability of parcels weighing 35oz or less is

0.841

the probability of parcels weighing 14oz or less is

0.023

the probability of parcels weighing between 14 and 35oz is the probabilty of 35oz minus the probability of 14oz

0.841 - 0.023 = 0.818

the percentage is the probability × 100 = 81.8%

(b)

the probability of parcels weighing more than 49oz is 1 minus the probability to weigh less than 49oz.

the probability to weigh less than 49oz is

0.99865

so, the probability to weigh more than 49oz is

1 - 0.99865 = 0.00135

the percentage is again probability×100 = 0.14%

7 0

3 years ago

12+root of 35 divided by 2 + 12-2 root of 35 divided by 2

nadya68 [22]

So : $12+ \frac{\sqrt{35}}{2} + \frac{12-2 \sqrt{35} }{2}$ ?

First, you want to bring everything together on the top of the fraction.
12=24/2 so you can have $\frac{24+ \sqrt{35}+12-2 \sqrt{35} }{2}$

Add like terms -- 12 +24 = 36 $\sqrt{35}-2 \sqrt{35} = \sqrt{35}$

Now we are at $\frac{24+ \sqrt{35} }{2}$ Which is the lowest possible simplified version while remaining at exact value.

Feel free to check my math! I kinda did this off the top of my head.

8 0

3 years ago