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Tcecarenko [31]
3 years ago
8

The ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir. How many boys are

in the choir?
Mathematics
2 answers:
Korvikt [17]3 years ago
5 0

Let the number of boys and the number of girls be 5x and 4x

Number of girls = 4x = 60

x = 15

Number of boys = 5x

= 5× 15

= 75 boys

Over [174]3 years ago
4 0

Answer:Let the number of boys and the number of girls be 5x and 4x

Number of girls = 4x = 60

x = 15

Number of boys = 5x

= 5× 15

= 75 boys

Step-by-step explanation:

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6 0
3 years ago
If the straight line passing through A(-7, -5) and B(-3, x) is parallel to another straight line of slope 2, find the value of x
Ostrovityanka [42]
X=3; you can set up a proportion using the slope equation. So (y[sub2]-y[sub1])/(x[sub2]-x[sub1])=2/1 then plug in the values and simplify. Then cross multiply and solve for x. Rest of work shown in the picture
8 0
3 years ago
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Mr. Gonzales is replacing a cylindrical air-conditioning duct. He estimates the radius of the duct by folding a ruler to form tw
GalinKa [24]

Answer:

  • <em><u>5.6875 in</u></em>

Explanation:

At the point of tangency, the <em>tangent </em>to a circle and the <em>radius</em> form a right triangle (the radius is perpendicular to the tangent).

Here you are given the length of the tangent (6in), and the distance from the bisected vertex to the circle (2.75 in)

I tried to upload the drawing but the tool is not allowing it now.

In the figure:

  • The length of the tangent (6 in) is one leg of the triangle
  • The distance from vertex and the circle (2.75in)  along with the radius forms the hypotenuse of the right triangle: 2.75 + r.
  • The other leg is the radius, r.

Then, you can use Pythagorean theorem:

  • (r)² + (6)² = (r +2.75)²

Solve:

  • r² + 36 =  r² + 5.5r + 7.5625
  • 5.5r = 36 - 7.5625
  • 5.5r = 28.4375
  • r = 5.6875

The solution is in inches: r = 5.6875 inches ← answer

4 0
3 years ago
An online shopping club has 12,500 members when it charges $8 per month for membership. For each $1 monthly increase in membersh
-BARSIC- [3]

Answer:

Revenue  =  Members  *  (Cost Per Member)

R  = (12.500 *8) =

R= 100.000

R  = (12.500 - 500) ( 8 + 1)=

R=12000*9=

R=108.000

Step-by-step explanation:

Revenue  =  Members  *  (Cost Per Member)

R  = (12.500 *8) =

R= 100.000

R  = (12.500 - 500) ( 8 + 1)=

R=12000*9=

R=108.000

 

Where x represents the number of $1  increases

Where x represents the number of $1  increases

4 0
3 years ago
Graph the following equation: y - 3 = (x - 2)
Alexus [3.1K]

Answer:

Step-by-step explanation:

6 0
3 years ago
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