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AnnZ [28]
2 years ago
15

What is 1/5 of 75? And how do you get that answer?

Mathematics
1 answer:
Elina [12.6K]2 years ago
7 0
Change the fraction to a percentage first. It'll be easier.

1/5 is equal to 20%.
"What is 20% of 75?" is now the question.

Now, we set up the problem.

\frac{part}{whole} = \frac{percent}{100}

The part will be 'x', since it is unknown, and 75 is the whole. 20% (1/5) will be the percent, obviously.

Here's a tip: If you can't find what the whole is, it usually follows 'of'.

Fill in the blanks.
\frac{x}{75} = \frac{20}{100}\\\\cross\ multiply\\\\75\times20=1500\\100\times x=100x \\\\1500=100x\\x=15


15 is 1/5 of 75.
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dimulka [17.4K]
OK 
The first one would be
8.34625

The second one would be
22.89104 

H0P3 It H3LPS :)
6 0
2 years ago
Please help!
crimeas [40]

Answer:

The zeros are:

x =4, x=2, x = 5

  • The function has three distinct real zeros.

Hence, option (B) is true.

Step-by-step explanation:

Given the expression

h\left(x\right)=\left(x-4\right)^2\left(x^2-7x+\:10\right)

Let us determine the zeros of the function by putting h(x) = 0 and solving the expression

0=\left(x-4\right)^2\left(x^2-7x+10\right)

switch sides

\left(x-4\right)^2\left(x^2-7x+10\right)=0

as

x^2-7x+\:10=\left(x-2\right)\left(x-5\right)

so

\left(x-4\right)^2\left(x-2\right)\left(x-5\right)=0

Using the zero factor principle

  • \mathrm{If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)

so

x-4=0\quad \mathrm{or}\quad \:x-2=0\quad \mathrm{or}\quad \:x-5=0

x =4, x=2, x = 5

Thus, the zeros are:

x =4, x=2, x = 5

It is clear that there are three zeros and all the zeros are distinct real numbers.

Therefore,

  • The function has three distinct real zeros.

Hence, option (B) is true.

4 0
2 years ago
What is 5,820,000,000 written in scientific notation?
Ksenya-84 [330]

Answer:

C

Step-by-step explanation:

the decimal would have to move 9 times from the zero position to get to between 5 and 8.

so 5.82 x 10^9

5 0
2 years ago
Read 2 more answers
Add the following polynomials, then place the answer in the proper location on the grid.
aivan3 [116]

Answer:

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Step-by-step explanation:

The given polynomials can be added together by adding like terms together as shown below:

=> Add together, the coefficient of all terms that have the power of 3.

(2x^3) + (x^3) + (-3x^3)

2x^3 + x^3 - 3x^3

3x^3 - 3x^3

x^3

=> (-4x^2) + (6x^2) + (2x^2)

-4x^2 + 8x^2

4x^2

=> (6x) + (-8x) + (-4x)

6x - 8x - 4x

-6x

=> (-3) + (12) +(-7)

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2

The answer = x^3 - 6x + 2

5 0
2 years ago
Marco wants to take a taxi cab ride if the cost to ride is 7.00 with the cost per m is 0.25 per mile and mr. o can only spend 30
77julia77 [94]

Each ride has a fixed cost of 7 and a cost that increases proportionally to the distance travelled of 0.25 per mile. Therefore the total cost of the ride is:

\text{ cost(x)}=0.25\cdot x+7

Where "x" is the distance in miles. Marco can only spend 30 on his ride, therefore the cost must be less or equal to that value.

\begin{gathered} \text{ cost(x)}\leq30 \\ 0.25\cdot x+7\leq30 \end{gathered}

We can solve the linear equation by isolating the "x" variable on the left side.

\begin{gathered} 0.25\cdot x\leq30-7 \\ 0.25\cdot x\leq23 \\ x\leq\frac{23}{0.25} \\ x\leq92 \end{gathered}

Marco's travel must be shorter or equal to 92 miles.

6 0
8 months ago
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