At a concert, there are 3 times as many women as men. 3/5 of the men and 1/3 of the women wear glasses. There are 120 more women wearing glasses as men wearing glasses. How many people are at the concert?

Answers

Answer 1

Answer: w = women
m = men

w = 3m (from the first sentence)

1/3w - 3/5m = 120
subsitute 3m for w
1/3(3m) - 3/5m = 120
m - 3/5m = 120
2/5m = 120
2m = 600
m = 300

back to the original equation
w = 3m
w = 3(300)
w = 900

900 women + 300 men = 1200 people.

Related Questions

Prove the identity 2sin^2x - 1 = sin^2x - cos^2x
|2n+5|>/9 solve for n?
Please help ASAP for 10 points!!
A landscaper is designing a flower garden in the shape of a trapezoid. She wants the shorter base to be 3 yards greater than the height, and the longer base to be 7 yards greater than the height. the total area of the flower garden is 150 square yards. what will the length of each base be
Find the product of a number p to the fourth power and the same number to the fifthpower____

If the lateral edge of a regular tetrahedron is 8 cm, then it's altitude is?

Answers

Answer:

The altitude is 6.53 cm

Step-by-step explanation:

A regular tetrahedron is a triangular pyramid having equilateral triangular faces, therefore we have;

Sides of the equilateral triangle = 8 cm

Given that the slant height, the edge of the tetrahedron, and half the base edge of the tetrahedron form a right triangle, we have;

The slant height, h = √(8² - (8/2)²) = √48 = 4×√3

The segment representing the altitude, H, of the tetrahedron forms a right triangle with the edge of the tetrahedron and 2/3×h

Therefore;

8² = H² + (2/3×4×√3)²

H² = 8² - (2/3×4×√3)²

H² = 64 - 64/3 = 128/3

The altitude H = √(128/3) = √6×8/3 = 6.53 cm.

Which ratio is equivalent to 8 : 32? A.
1 : 24

B.
1 : 8

C.
1 : 4

D.
1 : 16

Answers

It would be: 8/32 = 1/4 = 1:4

In short, Your Answer would be Option C

Hope this helps!

Need the answers for both #1 and #2 plz

Answers

#1: x=146 degrees
#3: x= 49 degrees

If alexis ate 2/3 of 1/2 of a pie how much did he eat

Answers

She ate 1/3 of the pie

2/3*1/2=2/6=1/3
Alexis ate 1/3 of a pie

What multiples of 2 are not factors of 24?

Answers

a factor of 24 is a number that can be multilied by another number (normally whole (not fraction or decimal) numbers)

so a factor must be less than the number

any multiple of 2 greater than 24 will work so
just any even number greater than 24 exg 26,28,30,32,34,36,38,40,42,44,46,48,50,52,54,56,58,60, and so on

3 1/2 x 4= {Khan Academy}

Answers

Answer:

7x^4/2

Step-by-step explanation:

Other Questions

Alex is feeling stressed this morning. He did not get enough sleep because a dog barked most of the night. The dog barked from 11;41p.m. until 12:09 a.m.Then it started barking again at 3:35 a.m. and didn’t stop until 4:10 a.m.How long did the dog bark in all?

Find the discriminant and the number of real roots for this equation 9x^2+12x+4=0

the bakery bought 4 bags of flour containing 3.5 kg each .475 g flour are needed to make a batch of muffins and 0.65 kg is needed to make a loaf of bread. if 4 batches of muffins and 5 loaves of bread are baked , how much flour will be left ? give your answer in kilograms.

Which of these is an example of a literal equation?A.3x – 4y B.12 = 9 + 3xC.6 + 30 = 62D.ax – by = k