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2 years ago

What is the greatest common factor of 7 and 10

2 answers:

6 0

The greatest common factor of 7 and 10 is 1 because no number, not the smallest number possible,2, can go into both, it can go into 10, but not 7.

nasty-shy [4]2 years ago

3 0

The answer is 1.
7 x 1 = 7
and 10 x 1 = 10
They don't have other factors in common besides 1.

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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

Find the product of 3 1 11 and 5 1 2 .

prohojiy [21]

Answer:

16896

Step-by-step explanation:

3×1×11×512

=16896

7 0

2 years ago

Read 2 more answers

EACH PAIR OF FIGURES IS SIMILAR. FIND THE MISSING SIDE!!!!

inessss [21]

Answer:

58.1 and 17

Step-by-step explanation:

For the first triangles the similarity ratio is 1:7 so x is 8.3 × 7 = 58.1

For the second triangles the similarity ratio is 1:5 so x is 3.4 × 5 = 17

8 0

3 years ago

Give an equality that represents the phrase the sum 1 and y is greater than or equal to 9.

raketka [301]

That would be 1+y≥9

the one and the y go on one side and the nine on the other

4 0

3 years ago

Solve for x Please help

Elodia [21]

Answer:

The answer to your question is below

Step-by-step explanation:

1) Alternate interior angles measure the same

10x - 10° = 100°

10x = 100° + 10°

10x = 110°

x = 110° / 10°

x = 11°

2) Alternate exterior angles measure the same

x + 99° = 90°

x = 90° - 99°

x = -9°

3) Supplementary angles measure 180°

(6x + 12) + (14x + 8) = 180°

6x + 12 + 14x + 8 = 180°

20x + 20 = 180

20x = 180 - 20

20x = 160

x = 160 / 20

x = 8

4) Alternate exterior angles measure the same

26x + 1 = 131°

26x = 131° - 1°

26x = 130°

x = 130° / 26°

x = 5

5) Consecutive interior angles measure 180°

x + 100 + 85° = 180°

x + 185 = 180

x = 180 - 185

x = -5

6) Corresponding angles measure the same

7x - 7 = 70

7x = 70 + 7

7x = 77

x = 77 / 7

x = 11

7) Supplementary angles measure 180°

(12x + 8) + (100°) = 180°

12x + 8 + 100 = 180

12x + 108 = 180

12x = 180 - 108

12x = 72

x = 72 / 12

x = 6

8) Consecutive interior angles measure 180°

18x + 8x - 2 = 180°

26x = 180 + 2

26x = 182

x = 182 / 26

x = 7

9) Corresponding angles measure the same

27x + 7 = 28x + 3

27x - 28x = 3 - 7

-1x = -4

x = -4/-1

x = 4

10) Consecutive interior angles measure 180°

(x + 107) + (x + 87) = 180

x + 107 + x + 87 = 180

2x + 194 = 180

2x = 180 - 194

2x = -14

x = -14 / 2

x = -7

5 0

3 years ago