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kondor19780726 [428]

3 years ago

12

25% of a university's freshman class are majoring in Engineering. If 500 students in the freshman class are Engineering majors,

how many students are in the freshman class?

1 answer:

Pepsi [2]3 years ago

4 0

Answer:

2000

Step-by-step explanation:

100/25=4

500*4=2000

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A recipe requires 5/6 of a cup of sugar. If mrs.Marina is going to make one half of the recipe, how much sugar does she need

NemiM [27]

Answer:

$Half\ of\ the\ recipe\ requires\ \frac{5}{12}\ of\ a\ cup\ of\ sugar.$

Step-by-step explanation:

As given

$A\ recipe\ requires\ \frac{5}{6}\ of\ a\ cup\ of\ sugar.$

i.e

$\frac{5}{6}\ cup\ of\ sugar = 1\ recipe$

As the mrs.Marina is going to make one half of the recipe .

$Thus\ multiply\ above\ by\ \frac{1}{2}.$

We get

$\frac{5\times 1}{6\times 2}\ cup\ of\ sugar = \frac{1}{2}\ recipe$

solving the above

$\frac{5}{12}\ cup\ of\ sugar = \frac{1}{2}\ recipe$

$Therefore\ half\ of\ the\ recipe\ requires\ \frac{5}{12}\ of\ a\ cup\ of\ sugar.$

7 0

3 years ago

strojnjashka [21]

Answer:

(x+6)(x−6)=0

x=-6 or x=6

Step-by-step explanation:

X^2 - 36 = 0

Solve by Square Root

add 36 both sides

x^2−36+36=0+36

x^2=36

square root

x=±√36

x=6 or x=−6

You can do that or for 2nd option

Solve by factoring

x^2-36=0

(x+6)(x−6)=0

Set factors equal to 0

x+6=0 or x−6=0

x=-6 or x=6

PLEASE NOTE: 36 is the square of 6

and

x2 is the square of x1

8 0

3 years ago

A room has a length of 7 m.

Artemon [7]

If you convert 7m to centimetres you get 700

3 0

2 years ago

Read 2 more answers

Round 567,523 to the nearest thousands

LuckyWell [14K]

Answer:568,000

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

The denominator of a fraction is 3 more than its numerator. If 2 is added to both the numerator and the denominator, the 2 new f

Julli [10]

Answer:

4/7

Step-by-step explanation:

Using the hint, we have an original fraction of x/(x+3). The given manipulations and relations can be used to find the value of x, and the original fraction.

__

<h3>adding 2 to each term</h3>

The new fraction is ...

$\dfrac{x+2}{(x+3)+2}=\dfrac{x+2}{x+5}\\$

<h3>new value</h3>

Apparently, the new value of this fraction is 2/3. We can use this to find the value of x.

$\dfrac{x+2}{x+5}=\dfrac{2}{3}\\\\3(x+2)=2(x+5)\qquad\text{multiply by $3(x+5)$}\\\\3x+6=2x+10\qquad\text{eliminate parentheses}\\\\x=4\qquad\text{subtract $2x+6$}$

The original fraction is ...

4/(4+3) = 4/7

_____

<em>Alternate solution</em>

In the ratio 2/3, the numerator is twice the difference between the denominator and numerator. 2 = 2(3 -2)

The problem statement tells us the difference between the numerator and denominator is 3. That is not changed by adding the same number to each. This means the fraction equivalent to 2/3 is (2·3)/(3·3) = 6/9. Subtracting 2 from each of the numerator and denominator gives the original fraction:

(6-2)/(9-2) = 4/7

7 0

2 years ago