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Butoxors [25]
3 years ago
11

A cafeteria manager needs to know how many apples and bananas to to order. He asked students to choose either an apple or a bana

na as their preferred fruit. The survey results know that of the students who responded, 7/10 picked apples. If 84 students picked apples, how many picked bananas?
Mathematics
1 answer:
shusha [124]3 years ago
5 0

Answer:

36

Step-by-step explanation:

The answer is easy to find if we use the cross-multiplication method.

We know 7 students out of 10 picked apples, then 3 out of 10 picked bananas.

We know the number of people who picked apples.

\frac{apples}{bananas} = \frac{7}{3} = \frac{84}{x}

We just have to isolate x, this way and solve the problem:

\frac{7}{3} = \frac{84}{x}

becomes

x = \frac{84 * 3}{7} = \frac{252}{7} = 36

So, 36 students picked bananas as their favorite fruit.

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Which ordered pair is a solution of the equation?
GrogVix [38]

Answer

A only (2,3)

Step-by-step explanation:

If you graph it or plug it into Desmos that can also help

6 0
3 years ago
What is the lowest common denominator of the following rational expressions?
Damm [24]

Answer:

I think its A

Step-by-step explanation:

3 0
3 years ago
Find the inverse of f(x)=(x−5)/(−4x−2)
uysha [10]

Answer:

{f}^{ - 1} (x)= \frac{  5 - 2x }{ 4x  + 1}

Step-by-step explanation:

The given rational function is

f(x) =  \frac{x - 5}{ - 4x - 2}

Let

y =  \frac{x - 5}{ - 4x - 2}

Interchange x and y

x=  \frac{y- 5}{ - 4y - 2}

Cross multiply

x( - 4y - 2)= y- 5

Expand

- 4xy   - 2x= y- 5  \\ - 4xy  - y=  2x - 5 \\y( - 4x - 1)=  2x - 5

Solve for y;

y= \frac{  2x - 5}{ - 4x - 1}

or

y= \frac{  5 - 2x }{ 4x  + 1}

Therefore

{f}^{ - 1} (x)= \frac{  5 - 2x }{ 4x  + 1}

7 0
3 years ago
Can someone help me? It's urgent and thank you!
Irina-Kira [14]

Answer:

option A

Step-by-step explanation:

\frac{x+ 3}{12x} \ \cdot \ \frac{4x}{x^2 +x - 6}\\\\= \frac{x+ 3}{12x} \ \cdot\ \frac{4x}{x^2 +3x - 2x - 6}\\\\= \frac{x+ 3}{12x} \cdot \frac{4x}{x(x + 3) -2(x+3)}\\\\= \frac{x+ 3}{12x} \cdot \frac{4x}{(x + 3)(x -2)}\\\\= \frac{1}{12x} \ \cdot \ \frac{4x}{(x - 2)} \ \ \ \ \  \ \ \ \ \ \ \ \ \ \ \ \ \  \\\\= \frac{1}{3} \ \cdot \ \frac{1}{(x - 2)}\\\\= \frac{1}{3(x - 2) }

5 0
3 years ago
Solve for x.<br><br> 23x=49<br><br><br> x=827<br><br> x=23<br><br> x = 2<br><br> x = 3
Lelu [443]

Answer:

x = 49/23

Step-by-step explanation:

23x = 49

=> x = 49/23

I wonder why this option is not one of the options given. Please consider to re-check the options you have given to me.

Thank you!

Hoped this helped.

6 0
2 years ago
Read 2 more answers
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