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2 years ago

Write the following phrase as an expression. "c less than 27"

Mathematics

2 answers:

alekssr [168]2 years ago

8 0

Answer:

27 - c

Step-by-step explanation:

less than means it comes after and is subtraction

27 - c

Damm [24]2 years ago

7 0

Answer:

27-c

Step-by-step explanation:

It is 27-c because it says c less than 27. If it was subtract 27 from c, it would be c-27. but its not

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Find the least common multiple (LCM) of 8y^6+ 144y^5+ 640y^4 and 2y^4 + 40y^3 + 200y^2.

Mice21 [21]

Answer:

LCM = $8y^{4}(y+ 10)^{2}(y + 8)$

Step-by-step explanation:

Making factors of $8y^{6}+ 144y^{5}+ 640y^{4}$

Taking $8y^{4}$ common:

$\Rightarrow 8y^{4} (y^{2}+ 18y+ 80)$

Using factorization method:

$\Rightarrow 8y^{4} (y^{2}+ 10y + 8y + 80)\\\Rightarrow 8y^{4} (y (y+ 10) + 8(y + 10))\\\Rightarrow 8y^{4} (y+ 10)(y + 8))\\\Rightarrow \underline{2y^{2}} \times 4y^{2} \underline{(y+ 10)}(y + 8)) ..... (1)$

Now, Making factors of $2y^{4} + 40y^{3} + 200y^{2}$

Taking $2y^{2}$ common:

$\Rightarrow 2y^{2} (y^{2}+ 20y+ 100)$

Using factorization method:

$\Rightarrow 2y^{2} (y^{2}+ 10y+ 10y+ 100)\\\Rightarrow 2y^{2} (y (y+ 10) + 10(y + 10))\\\Rightarrow \underline {2y^{2} (y+ 10)}(y + 10) ............ (2)$

The underlined parts show the Highest Common Factor(HCF).

i.e. HCF is $2y^{2} (y+ 10)$ .

We know the relation between LCM, HCF of the two numbers 'p' , 'q' and the numbers themselves as:

$HCF \times LCM = p \times q$

Using equations (1) and (2): $\Rightarrow 2y^{2} (y+ 10) \times LCM = 2y^{2} \times 4y^{2}(y+ 10)(y + 8) \times 2y^{2} (y+ 10)(y + 10)\\\Rightarrow LCM = 2y^{2} \times 4y^{2}(y+ 10)(y + 8) \times (y + 10)\\\Rightarrow LCM = 8y^{4}(y+ 10)^{2}(y + 8)$

Hence, LCM = $8y^{4}(y+ 10)^{2}(y + 8)$

5 0

2 years ago

If f(x)= x+7 and g(x)= 1/x-13

Natasha2012 [34]

1. x = y - 7
2. g = x12

4 0

2 years ago

What is the answer to this and how ?

Rufina [12.5K]

677777777yyyyyyyyyyyyyyyyyyyyyy

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2 years ago

It costs $36.76 for 3 tickets to visit the science center. It costs $51 for 4 tickets to visit the zoo. Which attraction will co

NeX [460]

Answer:

The zoo will cost more money for a group of 12 students to visit.

Step-by-step explanation:

First, you have to divide the costs by the amount of tickets to find out how much you would have to pay for one ticket.

Science Center: $36.76 ÷ 3 = $12.25

Zoo: $51 ÷ 4 = $12.75

Then, the cost for one ticket should be multiplied by 12, the group of students wanting to visit.

Science Center: $12.25 x 12 = $147.04

Zoo: $12.75 x 12 = $153

Comparing the prices, you will see that the zoo will cost $5.96 more dollars than the science center.

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2 years ago

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There are `15` pieces of fruit in a bowl, and `6` of them are apples.

zalisa [80]

Answer:

40% of the pieces of fruit in the Bowl are apples.

Step-by-step explanation:

Given the statement:- There are 15 pieces of fruit in a bowl and six of them are apples.

⇒ Total number of pieces of fruit in a bowl = 15 pieces

and

Number of pieces of apple in a bowl = 6 pieces.

To find the percentage of the pieces of fruit in the Bowl are apples.

Therefore, 40% of the pieces of fruit in the Bowl are apples.

5 0

2 years ago

Read 2 more answers