If y = 16 when x = 4, find<br> Y when x = 6

ms. Omar runs the school tennis club. She has a bin of tennis balls and rackets. For every 5 tennis balls in the bin, there are

anygoal [31]

Answer:

see the explanation

Step-by-step explanation:

Let

x ----> number of tennis balls

y ----> number of tennis rackets

we know that

To find out the ratio of tennis balls to tennis rackets, divide the number of tennis ball by the number of tennis rackets

In this problem we have

$\frac{x}{y}=\frac{5}{3}$

see the model in the attached figure N 1

so

$y=\frac{3}{5}x$

$y=0.60x$

This is the equation of a linear direct variation

The relationship between the variables x and y is proportional

see the model in the attached figure N 2

4 0

3 years ago

5. a) A business company made a profit of Rs 24,00,000 in the last year. The management decided to distribute 20 % bonus from th

viva [34]

Answer:

a) = Rs 16000

b) = 5%

c) = Rs 30,000,000

10% = 24,000,00/10 = Rs 240,000

20% = 240,000 x 2 = Rs 480,000

480,000/30 = Rs 16000

b) The bonus percentage needs to be increased by 5%

explanation:

Since every worker needs Rs 20000 we need to times it by 30

20000 x 30 = Rs 600,000

600,000 - 480,000 = Rs 120,000

Now we need to find the percentage of Rs 120,000

10% = Rs 240,000

5% = 240,000 divide by 2 = Rs 120,000

This is the best I can do for now please let me know if you understood the answer!

7 0

3 years ago

Read 2 more answers

What is the length of Line segment B C, rounded to the nearest tenth? 13. 0 units 28. 8 units 31. 2 units 33. 8 units.

Len [333]

The length of the line segment BC is 31.2 units.

<h2>Given that</h2>

Triangle ABC is shown.

Angle ABC is a right angle.

An altitude is drawn from point B to point D on side AC to form a right angle.

The length of AD is 5 and the length of BD is 12.

<h3>We have to determine</h3>

What is the length of Line segment BC?

<h3>According to the question</h3>

The altitude of the triangle is given by;

$\rm Altitude = \sqrt{xy}$

Where x is DC and y is 5 units.

Then,

The length DC is.

$\rm Altitude = \sqrt{xy}\\
\\
12 = \sqrt{(DC) \times 5}\\
\\
\sqrt{DC } = \dfrac{12}{\sqrt{5}}\\
\\
$

Squaring on both sides

$\rm DC = \dfrac{144}{5}\\
\\
DC = 28.8$

Considering right triangle BDC, use the Pythagorean theorem to find BC:

$\rm BC^2 = DC^2+BD^2\\\\ BC^2 = (28.8)^2+(12)^2\\

\\
BC = \sqrt{829.44+144}\\
\\
BC = \sqrt{973.44}\\
\\
\rm BC = 31.2 \ units$

Hence, the length of the line segment BC is 31.2 units.

To know more about Pythagoras Theorem click the link given below.

brainly.com/question/26252222

6 0

2 years ago

On weekends a movie ticket costs $10.50. form an inequality and solve it to find the maximum number of tickets kate can buy with

Greeley [361]

$10.50

10 Tickets would be $105.00

$105.00 - $10.50 = $94.50 so 9 Tickets would be $94.50

$105.00 + $94.50 = $199.50

$205.00 - $199.50 = $5.50 which isn't enough for another ticket.

10 Tickets + 9 Tickets = 19 Tickets.

3 0

2 years ago

A pipe is 30 feet long. it need to be cut into pieces that are each 2/3 ft long how many pieces can be made from the pipe? answe

AysviL [449]

Answer:

Divide total length by length of each piece to get the number of pieces.

= 30 ÷ 2/3

multiply by reciprocal of 2/3

= 30 * 3/2

= 90/2

= 45

ANSWER: Total number of pieces that can be cut is 45.

7 0

3 years ago

If y = 16 when x = 4, find Y when x = 6