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tester [92]
3 years ago
7

in a school ,the number of boys who play cricket is 3 times as much as a number of boys who play tennis. if 12 boys, who play cr

icket, play tennis instead, the number of boys who play each of these sports would be the same. find the number of boys who play tennis
Mathematics
1 answer:
Ierofanga [76]3 years ago
8 0

Answer:

The number of boys who play tennis is 36.

Step-by-step explanation:

Let the number of boys who play tennis is x.

number of boys who play cricket = y

x = 3 y..... (1)  

12 boys plays both cricket and tennis.

According to the question,

x - 12 = y + 1 2

3 y - 12 = y + 12

2 y = 24

y = 12

So, the number of boys who plays tennis is x = 3 x 12 = 36.  

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There is a sales tax of $20 on an item that costs $128 before tax. The sales tax on a second item is $6.75 . How much does the s
Kazeer [188]

$20/128 = 6.75/x

using cross products

20x=128*6.75

divide by 20

x =43.20

8 0
3 years ago
Y=x+4 y=-2x-2 explain the awnser plz
Sliva [168]

Answer:

x = -2 and y = 2

Step-by-step explanation:

We have the following system of linear equations;

y=x+4

y=-2x-2

To solve the above system, we shall be equating the right hand sides of the two equations since we have y's on the left hand side of both equations;

x + 4 = -2x - 2

add 2x on both sides of the equation;

x + 4 + 2x = -2x - 2 + 2x

3x + 4 = -2

subtract 4 on both sides of the equation;

3x + 4 - 4 = -2 - 4

3x = -6

x = -2

We can use the first equation y=x+4 to determine the value of y;

y = -2 + 4

y = 2

The solution to the system of linear equations is thus;

x = -2 and y = 2

6 0
3 years ago
The dance committee of Pine Bluff Middle School earns \$72$72 from a bake sale and will earn \$4$4 for each ticket they sell to
jeyben [28]

Answer:

Inequality is 4t+72>400

Solution is C: t > 82

Step-by-step explanation:

Let the number of tickets = t

It is given that the committee earns $4 per ticket. That is, they earn 4t dollars.

Also, the committee earns $72 from the bake sale.

So, the total income is 4t+72 dollars.

Since, the dance will cost $400.

So, the total earning must be greater than $400.

Thus, the inequality for the situation is given by, 4t+72>400.

So, on solving, we have,

4t+72>400

i.e. 4t>328

i.e. t > 82.

Thus, the solution of the inequality is t> 82

Hence, option C is correct.

6 0
3 years ago
Read 2 more answers
Backpack is normally $64.99, put on sale it is marked down to $45.49 what percent off is the sale price
pogonyaev

Answer:

The percent off on the sale price is 30%.

Step-by-step explanation:

Marked up price = $64.99

marked down Price = $45.49

Let us assume the off percentage = k%

Now, the Amount off on the sale = Marked up price - Marked down price

                                                        = $64.99 -  $45.49  = $19.5

⇒  k% off on Marked up Price  $64.99 = $19.5

or, \frac{k}{100}  \times 64.99  = 19.5\\\implies k = \frac{19.5 \times 100}{64.99}  = 30

or, k = 30%

Hence, the percent off on the sale price is 30%

8 0
2 years ago
A tree that is 6 feet tall is growing at a rate of 2 feet every year. A tree that is 12 feet tall is growing at a rate of foot e
kompoz [17]

Answer:

6 years

Step-by-step explanation:

let x = # of years

6 + 2x = 12 + x

x = 6

6 0
2 years ago
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