MATHEMATICS HIGH SCHOOL

Greatest common factor of 28 and 42

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Factors of 28: 1, 2, 4, 7, 14, 28

Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42

So, the GCF is 14

Related Questions

The cost of a hall rental for a wedding is $500. Each meal at the wedding will cost an additional $45.50 a) Write an algebraic expression equation for the total cost of the wedding. b) Calculate how many people attended the wedding if the wedding cost totalled $3912.50.
Carly bought a new house for $125,000. The value of the house appreciates approximately 3.5% each year. What will be the value of the house after 10 years?
Which expression is equivalent to cos 150°?Our three choices are: A. cos 30° B. cos 330° C. cos (-30°) D. cos (-210°)
Can someone please help, will give brainliest!!
The expected number of heads in 500 tosses of an unbiased coin is:

If x + 3 is a multiple of 3, which of thefollowing is not a multiple of 3?
(A) x
(B) x + 6
(C) 6x + 18
(D) 2x + 6
(E) 3x + 5

Answers

The answer is E because if x+3=0 then x=-1 which is the multiple of 3x-1
1)x
we have x so its -3
2)x+6
-3+6=3 its a multiple of 3 (3x1)
3)6x+18
6(-3)+18
0 is a multiple of 3 (3x0)
4)2x+6
2(-3)+6
0 is a multiple of 3
5)3x+5
3(-3)+5
-1 is not a multiple of 3

Answer:

If integer m is not a multiple of 3, which of the following must be true? ... of 2 let m=3K+2, (m+1)(m-1) = (3K+3)X(3K+1) is a not a multiple of 2

Step-by-step explanation:

m=4 or 5 satisfies the equation (m+1)(m-1) is a multiple of 3. Hence true.

m=4, (m+1)(m-1) = (4+1)(4-1)=15, not multiple of 2.

Which expression is equivalent to 7a2b + 10a2b2 + 14a2b3?

Answers

The given expression can be simplified in many ways by grouping like terms. The simplest form is obtained by factoring out a²b which gives us the following expression.

a²b(7 + 10b +14b²)

Answer:

a²b(7 + 10b +14b²)

Step-by-step explanation:

$7a^2b + 10a^2b^2 + 14a^2b^3$

To find out equivalent expression we need to factor the given expression

To factor it first we find out GCF(greatest common factor)

7 a^2b -------> 7*a*a*b

10a^2b^2 ----->5*2 * a*a*b*b

14a^2b^3 -------> 7*2 *a*a*b*b*b

To get GCF we look at the factors that are in common

GCF = a*a*b that is a^2b

We factor out GCF a^2b, write a^2b outside and divide all the terms by a^2b

$a^2b(7 +10b +14b^2)$

7+10b+14b^2 cannot be factor . its prime

You discovered you can deduct medical expenses over 6% of your income. Your income is $42,000, and you had medical expenses of $567. What portion of your medical expenses can you deduct?a) $0
b) $34
c) $567
d) $2,520

Answers

Answer
c) $567

Explanation
The income is $42,000
6% 0f $42,000 = 6/100 ×42,000
= 0.06×42,000
= $2,520

This is more than your medical expense. This means that the portion that your medical expense that you can deduct is the whole amount, $567.

Your total income is 42,000 dollars and you can deduct 6% of medical expenses from your income.
Now you have 567 dollars medical expenses. Let's solve for the portion of medical expenses we can deduct
=> 6% of your income is Letter 2 520 dollars, since your medical expenses is only 567 dollars, thus you can deduct this all.

Factor completely
16x^2 + 24x + 9

Answers

$16x^2+24x+9=(4x)^2+2(4x)(3)+3^2=(4x+3)^2=(4x+3)(4x+3)$

$16x^2+24x+9=16x^2+12x+12x+9=4x(4x+3)+3(4x+3)\n\n=(4x+3)(4x+3)$

$16x^2 + 24x + 9 =\n (4x+3)^2$

In January, a bookstore sells 450 books, but in February, it sells only 300 books. What is the percent of change from January to February?66.7%
-33.3%
50%
-50%

Answers

Answer:

- 33.33%

Step-by-step explanation:

Given,

The number of books sold on January = 450,

While, the number of books sold on February = 300

Thus, the percent of change from January to February = $\frac{\text{books sold on February-books sold on January}}{\text{books sold on January}}* 100$

$=(300-450)/(450)* 100$

$=-(15000)/(450)$

$\approx -33.33\%$

Second option is correct.

January : 450 books
February : 300 books

the difference of Jan to Feb = 300 - 450 = -150
the percent of change = -150/450 x 100% = -33,3 %

Five times a number is the same as 30 more than 8 times the number. Find the number.If n is "the number," which equation could be used to solve for the number?

3n = 30
5n + 8n = 30
5n = 8n + 30

Answers

Answer: the correct option is

(C) $5n=8n+30.$

Step-by-step explanation: Given that five times a number is the same as 30 more than 8 times the number.

We are to find the number.

Also, if the number is denoted by n, then we are to select the equation that could be used to solve for the number.

Since n is the given number, so five times the number is written as

$5* n=5n.$

Also, 30 more than eight times the number is written as

$8* n+30=8n+30.$

Since both the expressions are same, so we get

$5n=8n+30\n\n\Rightarrow 8n-5n=-30\n\n\Rightarrow 3n=-30\n\n\Rightarrow n=-(30)/(3)\n\n\Rightarrow n=-10.$

Thus, the required number is -10 and the the equation that is used to solve for the number is $5n=8n+30.$

Option (C) is CORRECT.

Its the last one .. 5n=8n + 30

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