All categories

2 years ago

Question Progress

Mathematics

1 answer:

blondinia [14]2 years ago

8 0

Answer:

a) 375 = 3 × 3 × 3× 3 × 5

in index form it is 3 × 5³.

prime factor of,

150 = 2 × 3 × 5 × 5.

To find the HCF, multiply all the prime factors common to both numbers: Therefore, HCF = 3 × 5 × 5.

ANS : 75

hope this helps you☺️☺️

You might be interested in

Jess has 60 ounces of an alloy that is 40% gold. How many ounces of pure gold must be added to this alloy to create a new alloy

tia_tia [17]

Answer:

84 ounces of pure gold

Step-by-step explanation:

Jess has 60 ounces of an alloy that is 40% gold. How many ounces of pure gold must be added to this alloy to create a new alloy that is 75% gold?

Pure gold = 100% gold

Let the number of ounces of pure gold = x

Hence, we have the equation

40% × 60 ounces + 100%× x ounces = 75%(60 + x)ounces

= 0.4 × 60 + 1x = 0.75(60 + x)

= 24 + x = 45 + 0.75x

Collect like terms

x - 0.75x = 45 - 24

0.25x = 21

x = 21/0.25

x = 84 ounces

Therefore, we need 84 ounces of pure gold

6 0

3 years ago

Please help on this khan problem i can't word it right so there is attachments for the introductions and options for answers

Gwar [14]

Answer:

Step-by-step explanation:

because it is a outlier we can assume these 2 things:

it influences the mean and median, with the mean being effected more

because we know this, we can now solve the problem

both the median and mean decreased, but the mean decreased more than the median

7 0

2 years ago

Read 2 more answers

GIven the function f(x) = 3x +1: (A) Find the inverse of f^-1(x). (B) Find f^-1(6)

Pani-rosa [81]

The inverse function is equal to f-1(x) = (x - 1)/3 and the value at f-1(6) is equal to 5/3.

To find the inverse, you need to switch the f(x) and x in the equation. Then you can solve for the new f(x). The result will be the inverse (f-1)

f(x) = 3x + 1 ----> Switch f(x) and x

x = 3f(x) + 1 ----> Subtract 1

x - 1 = 3f(x) ----> Divide by 3.

f-1(x) = (x - 1)/3

Now that we have the inverse, we can plug 6 in to get the value at f-1(6).

f-1(x) = (x - 1)/3

f-1(6) = (6 - 1)/3

f-1(6) = 5/3

3 0

3 years ago

The local library had a sale to get rid of the books that were slightly damaged it’s on paper back books for two dollars and har

kondor19780726 [428]

Answer:

The Local Library sold <u>31</u> hardcover books.

Step-by-step explanation:

Let number of paper back books be 'x'.

Let number of hardcover books be 'y'.

Given:

Total number of books sold = 89

Now Total number of books sold is equal to sum of number of paper back books and number of hardcover books.

framing in equation form we get;

$x+y=89 \ \ \ \ \ equation \ 1$

Now Given:

Cost of each paper back books = $2

Cost of each hardcover books = $5

Total Amount raised by library = $271

Now We know that Total Amount raised by library is equal to Cost of each paper back books multiplied by number of paper back books plus Cost of each hardcover books multiplied number of hardcover books.

framing in equation form we get;

$2x+5y=271 \ \ \ \ equation \ 2$

Now Multiplying equation 1 by 2 we get;

$2(x+y)=89\times2\\\\2x+2y = 178 \ \ \ \ equation \ 3$

Now Subtracting equation 3 from equation 2 we get;

$(2x+5y)-(2x+2y)=271-178\\\\2x+5y-2x-2y=93\\\\3y = 93\\\\y=\frac{93}{3}=31$

Substituting the value of y in equation 1 we get;

$x+y =89\\\\x+31=89\\\\x =89-31 = 58$

Hence The Local Library sold 58 paper back books and <u>31</u> hardcover books.

8 0

3 years ago

My brain is lagging:<

Lubov Fominskaja [6]

Distance between two points $(-3, 4)$ and $(5, -2)$ is $10$ units.

Mid-point of the line segment joining $(-1, -5)$ and $(7, 1)$ is $(3, -2)$ .

Degree of the given polynomial is $7$ .

6) Distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ is:

$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

So, distance between two points $(-3, 4)$ and $(5, -2)$ is:

$=\sqrt{(5-(-3))^2+(-2-4)^2}$

$=\sqrt{(8)^2+(-6)^2}$

$=\sqrt{64+36}$

$=\sqrt{100}$

$=10$

So, option D is correct.

7) Mid-point of the line segment joining $(x_1, y_1)$ and $(x_2, y_2)$ is:

$(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

Mid-point of the line segment joining $(-1, -5)$ and $(7, 1)$ is:

$(\frac{-1+7}{2}, \frac{-5+1}{2})$

$= (\frac{6}{2}, \frac{-4}{2})$

$= (3, -2)$

So, option A is correct.

8) Degree of a polynomial is the highest power of the variable in the polynomial.

$f(x)=3x^2-7x^4+9x^7+2x^3$

Here, the highest power of the variable is $7$ .

So, option B is correct.

Learn more about distance formula, mid point formula, and degree of polynomial.

brainly.com/question/16319826?referrer=searchResults

brainly.com/question/24147029?referrer=searchResults

brainly.com/question/2284746?referrer=searchResults

8 0

2 years ago