Write 87 1/2% as a fraction in simplest form

The junior and senior students at Mathville High School are going to present an exciting musical entitled, "Math, What is it Goo

xeze [42]

Some parts are missing in the queston. Find attached the picture with the complete question

Answer:

$\large\boxed{\large\boxed{161}}$

Explanation:

Let's put the information in a table step-by step.

(number of remaining students)

Juniors Seniors

Condition

Initially J S

15 seniors left S - 15

Twice juniors as seniors 2(S - 15)

3/4 of the juniors left 1/4×2(S - 15)
1/3 of seniors left 2/3×(S - 15)

At the end, there were 8 more seniors than juniors:

2/3×(S - 15) - 1/4×2(S - 15) = 8

Now you have obtained one equation, which you can solve to find S, the number of senior students, and then the number of junior students.

Solve the equation:

$2/3\times (S - 15) - 1/4\times 2(S - 15) = 8$

Mutilply all by 12:

$8(S - 15)-6(S - 15)=96$

Distribution property:

$8S-120-6S-90=96$

Addtion property of equalities:

$8S-6S=96+120+90$

Add like terms:

$2S=306$

Division property of equalities:

$S=306/2=153$

That is the number of senior students that came out to the information meeting, but the number of students remaining to perform in the school musical is (from the table above):

$2/3\times (S-15)+1/4\times 2(S-15)$

Just substitute S with 153 fo find the number of students that remained to perfom in the musical:

$2/3\times (153-15)+1/4\times 2(153-15)\\ \\ 2/3(138)+1/2(138)$

$161$

5 0

2 years ago

Use fraction models to solve two and four sevenths plus three and two fourths equals blank

jenyasd209 [6]

Answer:

$6 \frac{1}{14}$

Step-by-step explanation:

Write down the problem;

$2 \frac{4}{7} + 3 \frac{2}{4}$

Simplify

$2 \frac{4}{7} + 3 \frac{1}{2}$

Convert so that the fractions have a common denominator; multiply the numerator and denominator of both fractions such that the denominators are equal;

$2 \frac{8}{14} + 3 \frac{7}{14}$

Add the fractions;

$5 \frac{15}{14}$

Convert to mixed number;

$6 \frac{1}{14}$

3 0

2 years ago

Find the measure of angle b

VladimirAG [237]

Answer:

62 degrees.

Step-by-step explanation:

The two angles should add up to 180. Thus, 118 plus 62 equals 180.

4 0

1 year ago

Read 2 more answers

Which statement about corollaries is true? A. Corollary is another term for theorem B. A corollary is a unique proposition unrel

djyliett [7]

D I believe...........

4 0

2 years ago

Read 2 more answers

How would you solve that problem

antiseptic1488 [7]

Since you that that line is 180 degrees you can simply do 180-149 and find that the answer is 31 degrees. So you would do 13x+5=31, 31-5=26, 26/13, and then x=2 :)

7 0

3 years ago