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Sati [7]
3 years ago
6

4/25 of the purchases were stuffed animals. 10/21 of them were bears. What fraction of the purchases were stuffed bears?

Mathematics
1 answer:
Bess [88]3 years ago
4 0
Let's name all the purchases "x"

so \frac{4}{25}of them were stuffed animals, and out of that \frac{10}{21} were bears.

to get the results we have to multiply the fraction of bears by the fraction of the stuff animals:

\frac{4}{25}*\frac{10}{21}.
 
and now we simplify:
\frac{4*2}{5*21}=\frac{8}{105}

and this is the answer!






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function f(x) has a slope of 3/2 and a y-intercept of 6. explain how the graph of f(x) could be used to find the x-intercept
kvv77 [185]

Answer:

x - intercept = -4

Step-by-step explanation:

We are told the function f(x) has a slope of 3/2 and a y-intercept of 6.

From general line equation, the formula is; y = mx + c

Where m is the slope and c is the intercept.

Thus, the equation is;

f(x) = (3/2)x + 6

Now,to find the x-intercept on the graph, it will be at a point where f(x) = 0.

Thus let's put 0 for f(x) to find the x-intercept.

0 = (3/2)x + 6

(3/2)x = -6

x = -6 × 2/3

x = -4

5 0
3 years ago
Graph the equation y = 3x - 6<br> Select two points to graph the line.
LiRa [457]

Answer:

y intercept is -6 put your first point on that y intercept

Step-by-step explanation:

from -6  rise 3 and run 1 (to the right )

whats that point ?  (0,2)

from  that point 2.... run 1 ( to the right and up 3) that will take from x4 to y6

(0,2) (4,6) Two points

y2 -y1 = 6

x2-x1  =2

6/2 simplified is 3/1

Make sense?

4 0
3 years ago
Susan Marciano invested part of her 19000 bonus in a fund that paid an 11% profit and invested the rest in stock that suffered a
ioda

The amount invested at 11% is ​$5,000

The amount invested in stock is ​$14,000

What is the net profit on both investments?

The profit of each investment is the rate of return or loss multiplied by the amount invested

Let us assume that x was invested at 11% and the remaining 19000-x was invested at a loss rate of 3%

net profit=(11%*x)+(19000-x)*-3%

net profit=130

130=(11%*x)+(19000-x)*-3%

130=0.11x-570+0.03x

130=0.14x-570

130+570=0.14x

700=0.14x

x=700/0.14

x=$5,000

Amount invested in stock=19000-x

Amount invested in stocks=19000-5000

Amount invested in stocks=$14,000

Find out more about combined investments on:brainly.com/question/2166053

#SPJ1

8 0
1 year ago
An item costs x dollars and then a 20% discount is applied. Select all the expressions that could represent the price of the ite
ankoles [38]

Answer:

E, C, B

Step-by-step explanation:

8 0
3 years ago
- If f ( x ) = x² + 2x - 1 and g ( x ) = 3x - 2 , then verify the following :
RideAnS [48]

Step-by-step explanation:

Hey there!

Given;

f ( x ) = x² + 2x - 1

g ( x ) = 3x - 2

To verify:

( \frac{f}{g} )(2) =  \frac{f(2)}{g(2)}

LHS:

(\frac{f}{g} )(x) =  \frac{ {x}^{2}  + 2x - 1}{3x - 2}

~ Insert "2" instead of "x".

(\frac{f}{g} )(2) =  \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2}

Simplify it;

\frac{f}{g} (2) =  \frac{4 + 4 - 1}{6 - 2}

Therefore; (f/g)(2) = 7/4.

RHS:

\frac{f(x)}{g(x)}  =  \frac{ {x}^{2}  + 2x - 1}{3x - 2}

~Insert "2" instead of"x".

\frac{f(2)}{g(2)}  =  \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2}

Simplify it.

\frac{f(2)}{g(2)}  =  \frac{4 + 4 - 1}{6 - 2}

Therefore, f(2)/g(2) = 7/4.

Since (f/g)(2) = f(2)/g(2) = 7/4.

<em><u>Proved!</u></em>

<u>Hope </u><u>it </u><u>helps</u><u>!</u>

3 0
3 years ago
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