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zimovet [89]
2 years ago
6

Answers for factoring out the gcf and please explain how you got the answer of -24x + 16y

Mathematics
2 answers:
spin [16.1K]2 years ago
6 0

Answer:

8(-3x+2y)

Step-by-step explanation:

Find the GCF of -24x and 16y

The GCF is 8 so put -24x and 16y in parenthesis

(-24x+16y)

Now put the 8 outside the parenthesis and divide 8 on both -24x and 16y and put the quotient inside the parenthesis to replace the -24x and 16y:

-24x/8 = -3x

16y/8=2y

8(-3x+2y)

Hope this helps!

Stella [2.4K]2 years ago
4 0
This is the correct answer

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Priya and Han both factored the number 80. Priya says they should both get the same answer even if they started with different f
meriva

Answer:

Priya is right.

Step-by-step explanation:

The factors of 80 is 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

The factor pairs of 80 are

1 x 80, 2 x 40, 4 x 20, 5 x 16 and 8 x 10

If Priya picks 2 x 40, then it's prime factorisation will be, 2 x 2 x 2 x 2 x 5 = 2⁴ x 5.

If Han picks, 5 x 16 = 5 x 2 x 2 x 2 x 2 = 5 x 2⁴ = 2⁴ x 5. This is the same.

Therefore, Priya is correct, because the factors of 80 are always the same, therefore which ever you start with, you'd always get the same answer.

4 0
2 years ago
How many different combinations are possible if each lock contains the numbers 0 to 39, and each combination contains three dist
Georgia [21]
(e) Each license has the formABcxyz;whereC6=A; Bandx; y; zare pair-wise distinct. There are 26-2=24 possibilities forcand 10;9 and 8 possibilitiesfor each digitx; yandz;respectively, so that there are 241098 dierentlicense plates satisfying the condition of the question.3:A combination lock requires three selections of numbers, each from 1 through39:Suppose that lock is constructed in such a way that no number can be usedtwice in a row, but the same number may occur both rst and third. How manydierent combinations are possible?Solution.We can choose a combination of the formabcwherea; b; carepair-wise distinct and we get 393837 = 54834 combinations or we can choosea combination of typeabawherea6=b:There are 3938 = 1482 combinations.As two types give two disjoint sets of combinations, by addition principle, thenumber of combinations is 54834 + 1482 = 56316:4:(a) How many integers from 1 to 100;000 contain the digit 6 exactly once?(b) How many integers from 1 to 100;000 contain the digit 6 at least once?(a) How many integers from 1 to 100;000 contain two or more occurrencesof the digit 6?Solutions.(a) We identify the integers from 1 through to 100;000 by astring of length 5:(100,000 is the only string of length 6 but it does not contain6:) Also not that the rst digit could be zero but all of the digit cannot be zeroat the same time. As 6 appear exactly once, one of the following cases hold:a= 6 andb; c; d; e6= 6 and so there are 194possibilities.b= 6 anda; c; d; e6= 6;there are 194possibilities. And so on.There are 5 such possibilities and hence there are 594= 32805 such integers.(b) LetU=f1;2;;100;000g:LetAUbe the integers that DO NOTcontain 6:Every number inShas the formabcdeor 100000;where each digitcan take any value in the setf0;1;2;3;4;5;7;8;9gbut all of the digits cannot bezero since 00000 is not allowed. SojAj= 9<span>5</span>
8 0
3 years ago
What is the value of x?
Over [174]

Answer:

c-12

Step-by-step explanation:

Pythagoras theorem states that a²+b²=c²

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x=c-12

4 0
3 years ago
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Answer:

b) 2 Km para o leste

Step-by-step explanation:

1. 2 km N

2. 2 km W

3. 1 km S

4. 4 km E

5. 2 km S

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(1.) 2 km N + (3.) 1 km S + (5.) 2 km S = 2 km - 1 km - 2 km = 0

Este e Oeste:

(2.) 2 km W + (4.) 4 km E = -2 km + 4 km = 2 km E

Veja imagem abaixo.

7 0
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Hei has $1,300 in a retirement account earning 4% interest compounded annually. Each year after the first, she makes additional
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Answer:

Her account balance after 5 years is $8702.87

Step-by-step explanation:

1500 (1.05) = 1575 --> after one year

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4728.75 (1.05) = 4965.1875 --> after three years

4965.1875 + 1500 = 6465.1875

6465.1875 (1.05) = 6788.44688 --> after four years

6788.44688 + 1500 = 8288.44688

8288.44688 (1.05) = 8702.86922 --> after five years = $8702.87

7 0
3 years ago
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