What is the highest common factor of 60 and 96

Answers

Answer 1
Answer: For the values 60, 96
GCF = 12
^ = Highest common factor 

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Find the rectangular coordinates of the point with the polar coordinates (7, 2pi/3)
1) Mister Smith wants to put a small fence around his garden. A store sells three feet sections of fence at cost of $5.49 per section. In the number of feet, what is the longest length of fence can he purchase if he wants to spend less than 145 dollars on the fence? Assume Mister Smith cannot purchase a fraction of a section of fencing and must purchase only whole sections. Show work and explain your reasoning. 2) A lifeguard at a swimming pool gives one-hour swim lessons to children in the morning before the pool is open to the public. She earns four dollars per class and fifty cents per swimmer. The minimum wage in her state is $7.25. She hopes to earn more than that amount of money during each class. Write an inequality that models the situation and find the minimum number of students she must teach in each class so that her earnings for that hour exceeds the minimum wage in her state. 3) Every year a classroom of students holds a car wash to raise money to help fund a good cause in their community. This year the class wants to purchase Electric Blankets for their local Senior Citizens Center. Each blanket costs 52 dollars. Their teacher says every year the class raises between 2,000 and 2,500 dollars. Using that estimate, what inequality below BEST represents how many blankets (B) the class can expect to buy for the Center? A) B>2000 B) 2000 C) B<2500 D) 38<=B<=48 4) Jimmy does yard work around his neighborhood. In a given week he works at least two days, but no more than five. And on the days he does work, he earns at least three dollars per day, but no more than seventeen dollars per day. Write an inequality that models how much money (M) Jimmy makes per week. A) 5<=M<=22 B) 3<=M<=17 C) 6<=M<=85 D) 2<=M<=5 5) A school wants to put on a dance recital. Middle School dancers have short programs that run four minutes long. High School performers will dance longer with longer programs seven minutes in length. The entire program cannot have more than ten dances and the entire recital must be over in less than 90 minutes. What pair of inequalities BEST represents the number of short Middle School dances (M) and the number of longer High School dances (H) that can be performed given these limitations? A) M+H>=10,4M+7H<90 B) M+H<=10,4M+7H<90 C) 4M+7H<=10,4M+7H<90 D) M+H<=10,M+H<90 when answer can you please put the number of the question so i know which answer belongs to which question Thanks for your help :)
Find the probability of spinning a 3 and then a 4 on a spinner with numbers 1-6.

Alan Cohl obtained an installment loan for $3,560. His finance charge is $308.56, and he will make 18 monthly payments. What is the APR?

Answers

The required APR is 56.01%.

What is APR?

The annual percentage rate (APR) is the cost of borrowing money expressed as a yearly percentage. It provides a more comprehensive picture of a loan's cost than the interest rate alone. It includes the interest rate, as well as any discount points or other costs.

A good APR is around 16%, which is the current credit card average. Individuals with poor credit may only have access to higher-interest credit cards. Some consumers with good credit may be able to obtain cards with interest rates as low as 12%.

Alan Cohl obtained an installment loan for $3,560.

His financecharge is $308.56, and he will make 18 monthly payments.

We know that

Annual percentage rate = monthly rate x 12

Now, the total interest

= 308.56 x 18 - 3560

= $1994.08

and, monthly interest = 1994.08/12 = 166.173

Also, the monthly rate = 166.173/3560 =4.7%

Thus, the APR = 4.7 x 12

APR = 56.01%

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Annual percentage rate = monthly rate * 12
total interest = 308.56*18-3560 = 1994.08
monthly interest = 1994.08/12 = 166.173
monthly rate = 166.173/3560 =4.7%
APR = 4.7*12 = 56.01%

The data set represents the number of rings each person in a room is wearing.0, 2, 4, 0, 2, 3, 2, 8, 6

What is the interquartile range of the data?

2
3
4
6

Answers

Answer:

the interquartile range of the data is:

                                   4

Step-by-step explanation:

We are given a data set as:

             0, 2, 4, 0, 2, 3, 2, 8, 6

On arranging the data in the ascending i.e. increasing order is given by:

    0     0     2     2    2    3      4      6     8

The minimum value of data set=0

Maximum value of data set is: 8

Range of data set= Maximum value-Minimum value

i.e. Range= 8-0

i.e. Range= 8

Also, Median of set is the central tendency of the data and is given by:

Median=  2

Lower set of data is:

                0    0     2    2

Hence, The median of lower set of data is the lower quartile or first quartile.

i.e. Q_1

Hence, Q_1=(0+2)/(2)\n\n\nQ_1=(2)/(2)\n\n\nQ_1=1

Hence, Lower quartile=1

Similarly upper set of data is:

                    3      4      6     8

Hence, The median of upper set of data is the upper quartile or third quartile.

i.e. Q_3

Hence, Q_3=(4+6)/(2)\n\n\nQ_3=(10)/(2)\n\n\nQ_3=5

Hence, Upper quartile=5

Hence, the interquartile range(IQR) is given by:

IQR=Upper quartile-Lower quartile

IQR=5-1

                                    IQR=4

If the data set represents the number of rings each person is wearing, being: 0,2,4,0,2,3,2,8,6, the interquartile range of the data is 2. Being, 4 as the Q1, 3 as the Q2 or median, and 6 as the Q3. Where the formula of getting the interquartile range is IQR= Q1-Q2.

Tyler's brother earns a commission. His commission is 4.5% of the amount he sells. Last week he sold $1400 worth of shoes. How much was his commission?

Answers

63$ 4.5x1400/100 he made 63$ off the 1400$

What is the following sum ?

Answers

Answer: 4th option

Explanation:

I added a picture so please check it

Here are two similar solid toys.A
B
The ratio surface area of toy A : surface area of toy B is 7:9
The volume of toy B is 20 cm
I
Work out the volume of toy A.
Give your answer correct to 3 significant figures.

Answers

The volume of toy A will be equal to 13.7 cubic centimetres.

What are ratios and proportions?

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.

The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that the ratio surface area of toy A: to the surface area of toy B is 7:9. The volume of toy B is 20 cm

The computation of the volume of toy A is shown below:

7 × k²=9

k²= 9 ÷ 7

k=√(9 ÷ 7)

k = 1.133893419

Now

The volume of toy A = 20 ÷ 1.133893419³

The volume of toy A = 13.7 cubic centimetres

Therefore, the volume of toy A will be equal to 13.7 cubic centimetres.

The missing figure is attached with the answer below.

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Answer:

13.7

Step-by-step explanation:

7*k²=9

k²=9/7

k=√9/7

k=1.133893419

20/1.133893419³=13.7

15% of what number equals 12?

Answers

percent means parts out of 100
15%=15/100=0.15
'of' means multiply

therefor
15% of x equals 12 means
0.15 times x=12
divide both sides by 0.15
x=80



the number is 80