1. You can finish 9 math problems in 20/3 minutes. What is your unit rate of problems per minute?2. Josie can solve 4/3 rubix cubes in 1/6 of an hour. How many rubix cubes can she solve in one hour?
3. Juan can ride his bike 19.3 miles in 5/3 of an hour. what is the unit rate riding speed
4. Rakelle bought 12/7 pounds of oranges for $2.43. What is the unit rate for her buying oranges? (Write answer as a dollar amount.)
5. Tyler can eat 2/3 of a bag of chips in 6/5 minutes. What is his unit rate for eating chips?

Answers

Answer 1
Answer: Where is the question to this or is this the answer
Answer 2
Answer:

Answer:

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Step-by-step explanation:


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Amanda tells you that because a variable is in the denominator, the equation three over x plus one over three equals five over six becomes unsolvable. Amanda explains, "There is a value for x that makes the denominator zero, and you can't divide by zero." How will you show Amanda that the equation is still solvable and explain your reasoning?

Answers

For this case we have the following equation:
 (3)/(x) + (1)/(3) = (5)/(6)
 We multiply both sides of the equation by 3x:
 9 + x = (5)/(2)x
 We multiply both sides of the equation by 2:
 18+2x=5x
 From here, we clear the value of x:
 5x-2x=18 3x=18
 x = (18)/(3)
 x=6
 Answer:
 
You can not divide by zero, but you can rewrite the expression to clear x.
 
The value of x is given by:
 x=6
(3 / x) + (1/3) = (5 / 6)
Taking the LCM on the left side
(9 + x)/(3x) = (5/6)
54 + 6x = 15x
From this step, it is visible that x is no longer in th denominator and even if it is 0, the equation is solvable.
9x = 54
x = 6

a box contains 14 scarves in unique colors if 4 scarves are picked randomly from the box how many different combinations are possible if the order dosen't matter

Answers

Since the order does not matter as the colors of the scarves are picked, this is a case of combinations. We use the formula:
nCk = n!/( (n-k)! k! )
14C4 = 14!/( (14-4)! 4! )
14C4 = 1001

Therefore, there are 1001 different combinations possible if 4 scarves are picked from a box containing 14 scarves of unique colors.

Answer:

1001

Step-by-step explanation:

16 cups = how many fl oz

Answers

16 cups = 128 fl oz .
There are 16 ounces in a cup, so multiply 16 by 16 to get 256 ounces.

Dahlia is trying to decide which bank she should use for a loan she wants to take out. In either case, the principal of the loan will be $19,450, and Dahlia will make monthly payments. Bank P offers a nine-year loan with an interest rate of 5.8%, compounded monthly, and assesses a service charge of $925.00. Bank Q offers a ten-year loan with an interest rate of 5.5%, compounded monthly, and assesses a service charge of $690.85. Which loan will have the greater total finance charge, and how much greater will it be? Round all dollar values to the nearest cent.a.
Loan Q’s finance charge will be $83.73 greater than Loan P’s.
b.
Loan Q’s finance charge will be $317.88 greater than Loan P’s.
c.
Loan P’s finance charge will be $20.51 greater than Loan Q’s.
d.
Loan P’s finance charge will be $234.15 greater than Loan Q’s.

Answers

To solve this, we are going to use the loan payment formula: P= ( (r)/(n)(PV))/(1-(1+ (r)/(n))^(-nt) )

where

P is the payment

PV is the present debt

r is the interest rate in decimal form

n is the number of payments per year

t is the time in years

For Bank P

We know from our problem that the the principal of the loan will be $19,450, so PV=19450. We also know that Bank P offers a nine-year loan with an interest rate of 5.8%, compounded monthly , so t=9 and r=(5.8)/(100) =0.058. Since Dahlia will make monthly payments, and a there are 12 months in a year, n=12. Lets replace the values in our formula:

P= ( (r)/(n)(PV))/(1-(1+ (r)/(n))^(-nt) )

P= ( (0.058)/(12)(19450))/(1-(1+ (0.058)/(12))^(-(12)(9)) )

P=231.59

Now we know that the monthly payment of Dahlia is $231.59. Since we know that she is going to make 12 monthly payments for 9 years, we can calculate the future value of the loan multiplying the amount of the monthly payments ($231.59) by the number of monthly payments (12) by the number of years (9):

FV=(231.59)(12)(9)

FV=25011.72

Now we know that she is is going to pay $25,011.72 for her loan. Finally, to calculate the total finance charge, we are going to subtract the original loan ( $19,450) from the future value of the loan ($25,011.72), and then, we are going to add the service charge ($925.00):

FinanceCharge=(25011.72-19450)+925

FinanceCharge=6486.72

The total finance charge of bank P is $6,486.72

For Bank Q

We are going to repeat the same procedure as before.

P=19450, r=(5.5)/(100) =0.055, n=12, and t=12. Lets replace the values in our formula:

P= ( (0.055)/(12)(19450))/(1-(1+ (0.055)/(12))^(-(12)(10)) )

P=211.08

Now that we have our monthly payment, we can calculate the future value of the loan multiplying the amount of the monthly payments ($211.08) by the number of monthly payments (12) by the number of years (10):

FV=(211.08)(12)(10)

FV=25329.6

Just like before, to calculate the total finance charge, we are going to subtract the original loan ( $19,450) from the future value of the loan ($25,329.6), and then we are going to add the service charge ($690.85):

FinanceCharge=(25329.6-19450)+690.85

FinanceCharge=6570.45

The total finance charge of bank Q is $6570.45

Notice that the finance charge of ban Q is greater than the finance charge of bank P, so we are going to subtract the finance charge of bank Q from the finance charge of bank P:

6570.45-6486.72=83.73

We can conclude that Loan Q’s finance charge will be $83.73 greater than Loan P’s. Therefore, the correct answer is a.

Answer:

a. Loan Q’s finance charge will be $83.73 greater than Loan P’s.

Step-by-step explanation:

What is the area of the kitchen floor in this floor plan?A-24 sq meters
B-28 sq meters
C-35 sq meters
D-42 sq meters

Answers

Answer:  The correct option is (C) 35 sq. meters.

Step-by-step explanation:  We are given to find the area of the kitchen floor in the floor plan shown in the figure.

From the figure, we see that

the kitchen is in the form of a rectangle with length 7 meters and breadth 5 meters.

We know that

the area of a rectangle with length l units and breadth b units is given by

A=l* b.

For the rectangular kitchen, we have

length, l = 7 meters

and

breadth, b = 5 meters.

Therefore, the area of the kitchen floor in the floor plan is given by

A=l* b=7* 5=35~\textup{sq. meters}.

Thus, option (C) is CORRECT.

First you would figure out the dimensions, which are 7 ft by 5 ft. Then, multiply those together, which equals 35 sq ft. The answer to your question is C - 35 sq ft. Hope this helps!

If I work then I earn money, but if I'm idle, then I enjoy myself. Either I work or I'm idle. However, if I work, then I do not enjoy myself, while if I'm idle, then I do not earn money. Therefore,(a) I work if and only if I enjoy myself
(b) I work if I earn money
(c) I do not earn money if I'm idle
(d) I enjoy myself if and only if I do not earn money

Answers

option c is the right answer .
(c)is correct,I guess..