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3 years ago

37 1/2% of _________ is 36, Please help show work I am really confused.

1 answer:

6 0

Before you start working on this problem, make sure you know
how to use a couple of the tools in your toolbox:

Tool #1: 37-1/2 percent means 0.375

Tool #2: In math problems, "of" almost always means "times".

====================================

Your question says

   "37-1/2 percent of blank is 36".

Translate it with your tools:

      0.375 times blank = 36 .

Divide each side by 0.375:     Blank = 36 / 0.375 .

Now grab your pencil or your calculator, and find the value of that
fraction (do the division). Blank is equal to the value of the fraction.

To check your answer (find out whether it's correct):

Do exactly what the question says.

Multiply (0.375) times (your answer). If you get 36,
then your answer is correct. If not, it's not.

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Please help me solve this...

Ira Lisetskai [31]

Answer:

$\displaystyle f(x)=\frac{5}{24}(x+2)^2(x-6)(x-2)$

Step-by-step explanation:

The standard, factored polynomial function is given by:

$f(x)=a(x-p)^n(x-q)^m...$

Where a is the leading coefficient,

p and q are factors,

And n and m are the powers or multiplicity they are being raised to.

We know that our polynomial function is of degree 4.

We have a root of multiplicity of 2 at x=-2.

So, our factor is:

$(x-(-2))=(x+2)\\$

It is has a multiplicity of 2, it is squared. So:

$(x+2)^2$

We have another root with multiplicity of 1 at x=6.

So, our factor is:

$(x-6)$

And since it is to the first power, we can write it as is.

Finally, we have another root of multiplicity of 1 at x=2.

So, our factor is:

$(x-2)$

Therefore, our entire function is:

$f(x)=a(x+2)^2(x-6)(x-2)$

We still have to determine our leading coefficient, a.

We can use that y-intercept. The y-intercept is at (0, 10). So, when x=0, y=10. By substitution:

$10=a(0+2)^2(0-6)(0-2)$

Evaluate:

$10=a(4)(-6)(-2)$

Multiply:

$10=48a$

Therefore:

$\displaystyle a=\frac{10}{48}=\frac{5}{24}$

Therefore, our final function is:

$\displaystyle f(x)=\frac{5}{24}(x+2)^2(x-6)(x-2)$

7 0

2 years ago

Bruno is designing his next skateboard. The skateboard store has 3 types of grip tape, 13 types of decks, 7 types of trucks, 4 t

olya-2409 [2.1K]

Answer:

2,184 different skateboards

Step-by-step explanation:

Use the fundamental counting principle to solve this. This is where you multiply all possible choices together to get the total...

(3)(13)(7)(4)(2) = 2,184 different choices

He can choose 1 type of grip tape and still have 13 choices for decks, 7 choices for trucks, 4 choices for bearings and 2 choices for wheels. With 3 choices for tape in the first place, he has

(3)(13)(7)(4)(2) combinations he can make

4 0

3 years ago

Which of the following sets of data does not contain an outlier

White raven [17]

Answer:

Step-by-step explanation:

A does not have a clear outlier.

5 0

1 year ago

A single scoop of ice cream costs $4.75 at Salt & Straw Portland. What is one combination of bills and coins you could use t

ivolga24 [154]

Answer: You could use 4 dollar bills and 3 quarters

Step-by-step explanation:

3 0

3 years ago

14. Team 8A is selling snacks at the football game to raise money for a field trip. They are selling popcorn for $2.50 and pretz

Mamont248 [21]

Answer:

40 popcorns and 90 pretzels sold.

============

Let the number of popcorns is x and pretzels is y.

Set up equations:

x + y = 130
2.5x + 2y = 280

Solve by elimination, multiply the first equation by 2 and subtract from the second equation:

2.5x + 2y - 2x - 2y = 280 - 2*130
0.5x = 280 - 260
0.5x = 20
x = 20/0.5
x = 40

Find y:

40 + y = 130
y = 130 - 40
y = 90

5 0

1 year ago

Read 2 more answers