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notka56 [123]
3 years ago
6

The local tennis club needed new tennis balls. To pay for all the new balls, each person in the club donated $12.45. The bill fo

r the new balls came to a total of $510. The club had $50.25 left over and decided to put it towards their end of year Christmas party. How many people are members at the tennis club?
Mathematics
1 answer:
Maru [420]3 years ago
4 0

Answer:

45 people are members at the tennis club

Step-by-step explanation:

Let the number of people in the tennis club be denoted as "x".

Since each of them donated $12.45, then total donated = 12.45x

Since they had $50.25 left over after paying the cost of $510 for the ball, then;

12.45x - 510 = 50.25

12.45x = 510 + 50.25

12.45x = 560.25

x = 560.25/12.45

x = 45

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Galina-37 [17]

Answer:

B

Step-by-step explanation:

Note:

1 gal = 4 quarts

1 pint = 0.5 quart

Re-writing all the choices in dollars and quarts and calculating how much each quart costs

A)  $1 per 1 quart

B)  $2 per gallon = $2 per 4 quarts = $2 ÷ 4 quarts = $0.50 per quart

C)  $1.50 per 2 quarts = $1.50 ÷ 2 quarts = $0.75 per quart

D)  $0.50 per 1 pint = $0.50 per 0.5 quart = $0.50 ÷ 0.5 quart = $1 per quart

If you compare all of the above, it is clear that answer B ($0.50 per quart) is the cheapest rate and hence the best deal.

6 0
2 years ago
Roshan makes the table below to describe how to draw a ray diagram for a convex lens.
VikaD [51]

Answer:

The ray that goes parallel to the main axis after passing through the lens should also be parallel from the object to the lens

Step-by-step explanation:

To form the image of an object using a convex lens, ray diagrams are used. The following steps are followed when drawing ray diagrams.

1) Light rays are drawn from the object incidented on the lens and parallel to the principal axis. The incident light refracts (bends) through the lens and converges at the focal point at the other side of the lens.

2) Another incident light passes through the optical centre undeflected and intersect with the refracted ray at the other side of the lens.

Based on the above points, Roshan made an error by drawing the ray that goes parallel to the main axis and after passing through the lens made the same ray to be parallel from the object to the lens instead of refracting (bending) after passing through the lens.

7 0
3 years ago
Read 2 more answers
Find the maximum production level p = 100x^{0.34}y^{0.66} if the total cost of labor (at $72 per unit) and capital (at $40 per u
Anton [14]

Maximum production p=552728

Step-by-step explanation:

The equation for maximum production is : p=100x^{0.34} y^{0.66}

The number of units of labor is x @$72

The number of units of capital is y @$40

The total cost of labor and capital is limited to $270,000, this can be written as;

72x+40y ≤ $270,000

Graphing the inequality to find values of x and y ,from the graph;

x=3750 units

y=6750  units

Applying the expression for maximum production

p=100*x^{0.34}* y^{0.66} \\\\p=100*3750^{0.34} *6750^{0.66} \\\\p=552727.56\\\\p=552728

Learn More

Inequalities graphs :brainly.com/question/11386040

Keywords: maximum, production,cost, labor,limited to,capital ,unit

#LearnwithBrainly

6 0
2 years ago
The length of a square is 10 cm. Calculate the perimeter of the square A. 40cm² B. 400cm² C. 4ocm D. 414cm² I will mark you as b
noname [10]

Answer:

C. 40 cm

Step-by-step explanation:

length of side of square = s

perimeter = s + s + s + s = 4s

We use the formula P = 4s

P = 4 * 10 cm

P = 40 cm

Answer: The perimeter is 40 cm.

Notice that the perimeter is a sum of lengths, so its units are linear units such as cm, inches, feet, a unit of length.

An area has square units such as cm^2, in.^2, ft^2, etc.

3 0
2 years ago
Read 2 more answers
Find the measure of angle A.
Ivanshal [37]

Answer:

∠A = 32°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanA = \frac{opposite}{adjacent} = \frac{5}{8} = 0.625, thus

A = tan^{-1}(0.625) = 32°

4 0
3 years ago
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