Of the following factors of 28, put a check beside each prime factor

Answers

Answer 1

Answer:

Answer:

The prime factors of 28 are 2 and 7.

Step-by-step explanation:

Factors are numbers that are multiplied together to produce another number. example factors of 36 = 1, 2, 3, 4, 6, 9, 12, 36.

Prime numbers are numbers greater than 1 whose only factors are 1 and itself. example 2, 3, 5, 7, etc.

We have to find the prime factors of 28.

First we find the factors of 28 and then we pick up the prime factors.

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

Out of above factors only 2 and 7 are prime numbers

Thus, the prime factors of 28 are 2 and 7.

Answer 2

Answer: The factors of 28 are 1, 2, 4, 7, 14, 28.
The prime ones are 2 and 7.

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The product of 7/16, 4/3, and 1/2 isa. 7/12.
b. 7/24.
c. 21/32.
d. 2 13/48.

Answers

If you would like to know how much is the product of 7/16,4/3, and 1/2, you can calculate this using the following steps:

7/16 * 4/3 * 1/2 = 7/24

The correct result would be b. 7/24.

$(7)/(16) * (4)/(3) * (1)/(2) = (7* 4* 1)/(16* 3* 2)=(7* 4)/(4* 4* 3* 2)=(7)/(4* 3* 2)\n\n =(7)/(12*2) =\boxed{\bf{(7)/(24)}}$

Your answer is B. 7/24.

Solve the equation X^2 +10x+24=0

Answers

Answer:x= -4 and -6

Step-by-step explanation:

To solve the equation x²+10x+24=0, we need to factorize. Factorizing this using the general formula,

x = -b+/-√b²-4ac/2a

Generally, quadratic equation are of the form ax²+bx+c=0

Comparing the coefficients;

a= 1, b=10 and c=24

Substituting this into the general formula,

x = -10+/-√10²-4(1)(24)/2(1)

x = -10 +/-√100-96/2

x = -10 +/-√4/2

x = -10 +/- 2/2

x = -10 + 2/2 and -10-2/2

x = -8/2 and -12/2

x = -4 and -6

(x+6) (x+4) thats the answer

the area of a pentagon increased by 27 is the same as four times the difference of area and 15. what is the area of the pentagon?

Answers

this can be written as:
a+27=4(15-a)
now to work it out
a+27=4(15-a)
a+27=60-4a
4a+27=60
4a=33
a=8.25

hope this helps :)

Tom has taken out a loan for college. He started paying off the loan with a first payment of $200. Each month he pays, he wants to pay back 1.2 times as the amount he paid the month before. Explain to Tom how to represent his first 30 payments in sigma notation. Then explain how to find the sum of his first 30 payments, using complete sentences. Explain why this series is convergent or divergent.

Answers

Answer:

In this geometric series, a represents the first term, what he pays back monthly is the common ratio which is 1.2, and the first 30 payments are what is being used to find the total amount which is represented by n. Thus, a=$200, n=30 and r=1.2. The sum is found by sn=(a((r^n)-1))/(r-1), which will be 200((1.2^30)-1))/(1.2-1). The solution is = $ 236,376 and the series is divergent because of the common ratio being greater than 1.

Step-by-step explanation:

This is a geometric series. The first payment represents the first term, a. The number of times he wants to pay back for subsequent payments represent the common ration, r. The first 30 payments represents the number of terms to use in finding the sum, n.

Hence, a = $ 200, n = 30 and r = 1.2.

The sum of a geometric sequence is given as:

Sn = (a((r^n)-1))/(r-1)

=(200((1.2^30)-1))/(1.2-1)

= $ 236, 376. 31

Explain why this series is convergent or divergent.

Since the common ratio, r, is greater than 1, the series is divergent

The sum of two numbers is 17 and their different is 5. Find two answers

Answers

$x+ y = 17\n x=y-5 \n \ny-5+y=17\nx=y-5\n\n2y=17+5\nx=y-5\n\n2y=22\ \ /:2 \nx=y-5\n\ny=11 \nx=11-5\n \ny=11 \nx=6 \n\nAnswer : \ are \ the \ two \ numbers \ 11 \ and \ 6$

$x + y = 17 \n x = y - 5 \n \n y - 5 + y = 17 \n 2y = 17 + 5 \n 2y = 22 \n y = 22/2 \n y = 11 \n \n x = y - 5 \n x = 11 - 5 \n x = 6 \n \n \left \{ {{y=11} \atop {x=6}} \right.$