Donald has a coin collection. He has 36 dimes, 72 quarters, and 18 nickels. He wants to arrange them into equal groups with only one type of coin in each group. How many can he put in each group?a. 1
b. 2
c. 3
d. 4 E. 9 F. 12

Answers

Answer 1

Answer: The way I understand the question is that he wants to have for example many groups of 2, many groups of 3, etc, etc.

There are many possibilities, so let's just look at all the options!

a. 1
- it's technically possible, as 36, 72 and 18 are each divisible by 1 (but I don't think it's a "group"

b. 2
- yes, this is possible! 36, 72 and 18 are each divisible by 2 (they're all even)

c. 3
yes, he can have piles of 3 as 36, 72 and 18 are each divisible by 3
d. 4
NO! they're not divisible by 4

E. 9
yes! it would be 2 piles of nickels, 4 of quarters and 8 of dimes

F. 12
NO! they're not divisible by 12

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Find the first six terms of the sequence. a1 = 4, an = an-1 + 8

OPTIONS ARE
a. 0, 8, 16, 24, 32, 40
b. 12, 20, 28, 36, 44, 52
c. 4, 12, 20, 28, 36, 44
d. 4, 8, 16, 24, 32, 40

Answers

The arithmetic sequence:
a 1 = 4, a n = a n-1 + 8, d = 8
a 2 = 4 + 8 = 12
a 3 = 12 + 8 = 20
a 4 = 20 + 8 = 28
a 5 = 28 + 8 = 36
a 6 = 36 + 8 = 44
Answer:
C ) 4, 12, 20, 28, 36, 44

Answer:

Step-by-step explanation:

Given: $a_(1)=4$ and $a_(n)=a_(n-1)+8$

To find: Find the first six terms of the sequence

Solution: Since, it is given that $a_(1)=4$ and $a_(n)=a_(n-1)+8$ , then the first term is 4 and the common difference, d=8.

Thus, the next terms are:

$a_(2)=a_(1)+8=4+8=12$ ,

$a_(3)=a_(2)+8=12+8=20$ ,

$a_(4)=a_(3)+8=10+8=28$ ,

$a_(5)=a_(4)+8=28+8=36$ and

$a_(6)=a_(5)+8=36+8=44$

Thus, the first six terms of the sequence will be 4, 12, 20, 28, 36, 44.

thus, option C is correct.

Can someone help me my class is at 9

Answers

Answer: 1/4

Step-by-step explanation: 20 is a fourth of 80

Please mark brainleist if I got it right. I really need it to level up

Which fraction represents the ratio 9 to 6 in simplest form?(Points : 1)

6
_
9

3
_
2

9
_
2

1
_
6

Answers

A fraction which represents the ratio 9 to 6 in simplest form is $(1)/(2)$ .

Given the following data:

Numerator = 9.

Denominator = 6.

What is a fraction?

A fraction is a numerical quantity that is not expressed as a whole number. Therefore, a fraction is simply a part of a whole number.

The parts of a fraction.

In Mathematics, a fraction comprises two (2) main parts and these include:

Numerator

Denominator

Next, we would divide the numerator by the denominator as follows:

$Ratio = (9)/(6)$

Simplifying further by dividing both sides by 3, we have:

$Ratio = (3)/(2)$

Read more on fractions here: brainly.com/question/368260

You have to divide both 9 & 6 by their greatest common factor which is 3 so the answer is 3
_
2

ABCD is a parallelogram. If angle A= 3x and angle C = 120 degree then find the value of x

Answers

Answer:

3x = 120

x = 40

Find the volume generated by rotating the region in the first quadrant bounded by y =e" and the X-axis from = 0 to x = ln(3) about the y-axis. Express your answer in exact form. Volume =

Answers

The volume generated by rotating the region in the first quadrant bounded by y = ex and the x-axis from x = 0 to x = ln(3) about the y-axis is (πln(3)3)/3.

To find the volume generated by rotating the region in the first quadrant bounded by y = ex and the x-axis from x = 0 to x = ln(3) about the y-axis, we can use the disk method. The disk method involves slicing the region into thin disks and adding up their volumes.

The volume of each disk is πr2h, where r is the radius of the disk and h is the thickness of the disk. In this case, the radius of each disk is x and the thickness is dx.

So, the volume of the region is:

V = ∫0ln(3)πx2dx

We can use the power rule for integration to solve this integral:

V = π∫0ln(3)x2dx = π[(x3)/3]0ln(3) = π[(ln(3)3)/3 - (03)/3] = (πln(3)3)/3

Therefore, the volume generated by rotating the region in the first quadrant bounded by y = ex and the x-axis from x = 0 to x = ln(3) about the y-axis is (πln(3)3)/3. This is the exact form of the volume.

To know more about disk method refer here:

brainly.com/question/28184352#

#SPJ11

Kesara Santiago purchased a riding mower for $2,746.00. She received a $49.95 rebate from the manufacturer and a $38.95 rebate from the store. What is the final price?