A jewelry maker will use 24 blue beads and 30 green beads to make necklaces. What are the possible number of necklaces she can make if each necklace has the same number of blue and green beads? How many of each type will be on each necklace?

Answers

Answer 1
Answer:

Answer:

  • 1 necklace: 24 blue, 30 green
  • 2 necklaces: 12 blue, 15 green (each)
  • 3 necklaces: 8 blue, 10 green (each)
  • 6 necklaces: 4 blue, 5 green (each)

Step-by-step explanation:

The greatest common factor of 24 and 30 is 6. The divisors of 6 are 1, 2, 3, and 6. Those are the numbers of identical necklaces that might be made from the beads. The number of beads of each color is found by dividing the total number of beads by the number of necklaces being made.

The possible numbers of necklaces are 1, 2, 3 or 6.

The numbers of (blue, green) beads on each will be (24, 30), (12, 15), (8, 10), or (4, 5), respectively.

_____

The greatest common factor (GCF) is the product of the common prime factors.

  24 = 2^3×3

  30 = 2×3×5

The prime factors in common are 2 and 3, so the GCF is 2×3 = 6.


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Write the equation of a line that isparallel to y = 3x – 2 and
passes through the point (3, 2).​

Answers

Answer:

Y= 3x-7

Step-by-step explanation:

Since the line is parallel , the slope is same i.e. 3 .

now the equation should be y= Mx + b where m is the slope and c is the y-intercept

plugging the value of m=3 and ( 3,2) into the equation

2= 3(3) + c

2= 9+ c

c= -7

hence the equation of the line is y=3x-7

What is the solution of the equation? 3 = b + 3
a. 1
b. 6
c. 9
d. 0

Answers

If you would like to know what is the solution of the equation 3 = b + 3, you can calculate this using the following steps:

3 = b + 3
b = 3 - 3
b = 0

The correct result would be d. 0.
3 = b + 3

Subtract 3 on both sides.

3 = b + 3\n3-3= b+3-3\n3-3 = b\n\n0 = b\n\n\n\boxed{\bf{b=0}}

Your final answer is d. 0.

CHECK MY MATH PLEASE!? 1. When you estimate expenses for a month, you should _______.

A: add expenses for rent/mortage, utilities, food, and gas. (my answer)
B: Round all expenses down.
C: Add only the rent/mortgage and utility expenses.
D: Estimate that it will be about 20% of your net income.

2. Suppose you have a bi-weekly mortgage payment of $657. If there are typically 4 weeks in a month, what do you need to do to estimate your monthly mortgage payment?

A: Multiply it by 2, then round
B: Round it down to $650, then multiply by 2
C: Add it to other estimates just as it is
D: Multiply it by 4, then round (my answer)

3. Rent is $978. Phone charges last month were $54.89. Groceries cost about $93/week. What is a good estimate of your monthly expenses?

A: $1,126.00
B: $1,100.00
C: $1, 433.00
D: $1,400.00 (my answer)

4. Bi-weekly mortgage is $455. Monthly phone charges are $34.95. The electric bill last month was $65.88. Groceries cost about $87/week. What is a good estimate of your monthly expenses?

A: $643.00
B: $904.00 (my answer)
C: $1,098.00
D: $1,359.00

Answers

1. If I remember from class correctly, your monthly expenses should be about 20% of your net income, so the answer would be D. Although, adding up the expenses would work as well.
2. If the payment is bi-weekly, and there are 4 weeks in a month, you only have to multiply by 2, because "bi-weekly" means every 2 weeks, which means the payment would come twice a month. So, the answer would be A, Multiply by 2 and then round.
3. Round each of the numbers. 978 becomes 980, 54.89 becomes 55, and 93 becomes 90. We'll assume that there are 4 weeks in a month. Add them all up. 980+55+90+90+90+90 = 1395  So, yes, your answer of D, 1,400.00 is a good estimate.
4. Again, round each of the numbers. 455 can stay the same, 34.95 becomes 35, 65.88 can stay at 65 for the sake of easy math, and 87 gets rounded up to 90.
We'll keep assuming that there are 4 weeks in a month. Now, add them all up. Be sure to remember that the rent is bi-weekly, so it has to be added in twice. 455+455+35+65+90+90+90+90 = 1370. This means that of the choices, D, 1,359.00 is a good estimate of the monthly expenses.

Answer:

1. A its not D

2. A

3. D

4. D

100%

*★,°*:.☆( ̄▽ ̄)/$:*.°★* 。

What is the area of the whole rectangle

Answers

Answer:

Step-by-step explanation:

it is divided into 4 rectangles

first rectangle ( 100 cm ^2)

area = l × b

= 10 × 10 = 100 cm^2

second rectangle ( 60 cm^2)

area = l × b

= 6 × 10 = 60 cm^2

third rectangle ( 20 cm^2)

area = l × b

= 2 × 10 = 20 cm^2

fourth rectangle ( 12 cm^2)

area = l × b

= 2 × 6 = 12 cm^2

so total area of the rectangle = 100 + 60 + 20 + 12 cm^2

= 192 cm^2

hope this helps

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Can someone help me with anything from 2-6 i got no idea how to do this

Answers

It’s 56 because I just had this same paper

If 2 dice are rolled at the same time, what is the probability of the 2 dice having the same faceValue?

Answers

Total number of possible results of rolling 2 dice = 6 x 6 = 36

Total number of ways they can both show the same face = 6

Probability of showing the same face = 6/36 = 1/6 = 16 and 2/3 percent.