There are 780 families and each has a car, radio, and TV. There are 6 kinds of cars, 2 kinds of radios, and 5 kinds of TV available.What is the least possible number of families that could have the same kind of car, radio, and TV?

Answers

Answer 1
Answer:

Answer:

The least possible number is 13

Step-by-step explanation:

Since there are 6 types of cars, 2 kinds of radios and 5 types of Tv, then, there are a total of 6*2*5 = 60 combinations.

Each family should have a Tv, can and radio matching one of this 60 combinations, and the best way to ensure that the number of families that have the same kind of car, radio and tv is the least as possible, we are better sharing each combination in equal parts, or at least almost equal.

Since there are 780 families and a total of 780 combinations, then, each combination should be used by a total of 780/60 0 13 families.


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114% is equivalent to what fraction in reduced terms?
A(x)=(2x-5)(x+1)-(5x-3)(2x-5)
If m(x)= x+5/x-1 and n(x)=x-3, which function has the same domain as (m*n)(x)?
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-2(n+3)=13 solve for n

Answers

Answer:

1. Simplify:

-2(n + 3) = 13
-2n - 6 = 13

2. Change „-6” side to right (to get answer), without forgetting to change the sign:

-2n - 6 = 13
-2n = 13 + 6
-2n = 19

3. Simplify (The „|” means operation done at both sides of equation):

-2n = 19 |:(-2)
n = -9.5

Proof:
-2(-9.5 + 3) = -2 * (-6.5) = 13

Hope this helps!
N= -8
This is the work :

1. Becky won $108,000 by coming in first place at a chess tournament, and she has the option of receiving 4 quarterly payments of $27,000, with the first payment in 3 months, or 1 lump-sum payment of $108,000 occurring in 12 months. Once she receives her money, she plans on putting it in a savings account paying simple interest at an annual interest rate of 8.8% calculated quarterly. Becky's financial adviser told her that she'll "lose" money if she takes the lump-sum payment, and Becky wants to calculate how much she’ll "lose". HELP !! I don’t understand ! please show work

Answers

Answer:

Step-by-step explanation:

From the information being provided;

We learnt that Becky pays simple interest at an annual interest rate of 8.8% which is calculated quarterly.

i.e. (8.8\%)/(4)= 2.2\%

Since the first payment of $27,000 happened in the first three months, therefore, Becky will be able to have the money in the bank for 3 quarters prior to the lump-sum payment gets started.

Thus, the estimate of the amount Becky would earn as interest during this period of time is as follows:

I =(PRT)/(100)

I =(27000* 2.2 * 3)/(100)

I =(178200)/(100)

I = $1,782

The table represents a function.
What is f(5)?
A. -8
B. -1
C. 1
D. 8

Answers

Answer:

A. -8

Step-by-step explanation:

We can look at the table and figure out how we get f(5)

really its just the x value pugged into the x value for the function

after that we look on the table, f(5) is -8 because at the bottum of the table it shows 5 and -8

High Hopes^^

Barry-

The answer for me is the answer -8

In a survey of 150 students, 90 students were taking algebra and 30 were taking biology. What is the least number of students who could have been taking both courses? What is the greatest number of students who could be taking both courses? What is the greatest number of students who could have been taking neither course?

Answers

The least number of students who could have been taking both courses is 0.

The greatestnumber of students who could be taking both courses is 30.

The greatestnumber of students who could have been taking neither course is 30.

What is subtraction?

The process of subtracting one number from another is known as subtraction.

Given that, there are a total of 150 students out of which 90 were taking algebra and 30 were taking biology.

The remaining students are:
150 - 90 - 30

= 30

Now, the remaining 30 students may take both subjects or neither.

Therefore, the least number of students who could have been taking both courses is 0.

The greatestnumber of students who could be taking both courses is 30.

The greatestnumber of students who could have been taking neither course is 30.

To learn more about subtraction, click here:

brainly.com/question/2346316

#SPJ2

30 students could of been taking both courses and 60 with no course

10. Madison is 7 less than four times as old as Paige.

Answers

madison is 13 & paige is 5

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.f(x) = x3 + 4 and g(x) = Cube root of quantity x minus four.

Answers

f(x) = x³ + 4 and g(x) = ∛(x - 4)

so, the first thing the question asks of you is to see that f(g(x)) = x. try it out, plugging g(x) in as the x-variable in the first equation:

f(g(x)) = (∛(x - 4))³ + 4

they were merciful in writing this problem, and thankfully your cube roots cancel out and don't cause you any trouble. continue solving:

f(g(x)) = (∛(x - 4))³ + 4  ... cube root and exponent cancel
f(g(x)) = x - 4 + 4  ... simplify
f(g(x)) = x

so, yep. that one worked. try out the second half of the question: g(f(x)) = x

g(f(x)) = ∛((x³ + 4) - 4)  ... simplify inside your radical, cancelling out the 4s
g(f(x)) = ∛(x³)  ... the cube root of x³ is x itself, so:
g(f(x)) = x

and there you are. you've confirmed that these are inverses.