What is the product of 7/16, 4/3, and 1/2?A. 7/24
B. 213/48
C. 7/12
D. 21/32
Please explain how you get the answer. ;)

Answers

Answer 1
Answer: Multiply all numerators.
7*4*1=28
Now multiply all denominators
16*3*2=96
Now reduce it down.  Simplify.
Both can be divided by 4
28/4=7
96/4=24

A is the answer.

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Sophia has 3 pink tulips and 3 white tulips. what fraction of sophias tulips are pink
A livestock pen is built in the shape of a rectangle that is twice as long as it is wide. The perimeter is 48 feet. If the material used to build the pen is $1.85 per foot for the longer sides and $2.35 per foot for the shorter sides (the shorter sides have gates, which increase the cost per foot), find the cost to build the pen.

Indicate whether the following statements are True (T) or False (F). 1. The difference of two integers is always a natural number. 2. The difference of two integers is always an integer. 3. The sum of two integers is always an integer. 4. The quotient of two integers is always an integer (provided the denominator is non-zero). 5. The ratio of two integers is always positive 6. The product of two integers is always an integer. 7. The quotient of two integers is always a rational number (provided the denominator is non-zero).

Answers

1. False (F): Example: 2-3=-1∉N
2. True (T)
3. True (T)
4. False (F): Example: 3/4=0.75 which is not an integer
5. False(F) : Ratio can be negative if one but not the other integer is negative. Example: 5 : (-1)= -5
6. True (T) 
7. True (T)

How can b^2+9b+14 be re-written?1) (b+7) (b-7)
2) (b-7) (b-2)
3) (b+7) (b-2)
4) (b+7) (b+2)

Answers

b^2+9b+14 =\n \n=b^2+9b-2b + 2b +14 =\n \n =b^2+7b +2b +14 = \n \n = b(b+7)+2(b+7)=\n \n=(b+7)(b+2) \n \n Answer: \ 4. ) \ (b+7)(b+2)

Which of the following identities would be the best option to use to verify the identity below?

Answers

is there any choices for it

During a clothing store’s Bargain Days, the regular price for T-shirts is discounted by $5. There is a state sales tax of 5%, and the $5 discount is applied before the sales tax is calculated.a. Write an expression that shows the regular price r of a T-shirt minus the $5 discount.

b. Write a rule for the function p(r) that expresses the final price p of a T-shirt with the discount applied and sales tax added.

c. How much would you pay during Bargain Days for a shirt regularly priced at $15.50?

Answers

Answer:

A:

Let the regular price of the t shirt be = r

Let the total cost of the t shirt be = t

So, we can say : t=r-5

B:

p(r)=1.05(r-5)

C:

p(r)=1.05(r-5)

Substituting r = 15.50

p(r)=1.05(15.50-5)

=> p(r)=1.05(10.50)

= $11.025

a) d = r - 5 where t is the full price 
b) p = ( r - 5 ) * 1.05 
c) p = (15.5-5)*1.05 = 10.5 * 1.05 = $ 11.02

The quotient of 9 times an unknown number and 16 is 81.

Answers

Represent the unknown number with x
9x / 16 = 81
Multiply both sides by 16
9x = 1296
Divide both sides by 9
x = 144

Is the following relation a function ?

Yes

No

Answers

Answer:

No

Step-by-step explanation:

For a relation to be a function, each value of x must map to exactly one unique value of y

Here x = 4 and x = 0 both map to y = 3

Thus the relation is not a function