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3 years ago

Which inequality best represents the graph? O A. 2x + y = 6 O B. x + 2y 6 O c. 2r- y< 6 O D. 2x - y > -6 E. 2x + y26

Mathematics

1 answer:

Misha Larkins [42]3 years ago

5 0

Answer:

It would be A

Step-by-step explanation:

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The ratio of the cost of a tennis racket ro tennis balls is 18:1. If a can of balls cost $5.35, what is the cost of the racket?

siniylev [52]

Multiply the ratio by $5.35

racket : balls = 18×$5.35 : 1×$5.35 = $96.30 : $5.35

The racket costs $96.30.

5 0

3 years ago

A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 54 . What is the volume of the dilated prism? E

Aliun [14]

Question:

A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 5/4 .

What is the volume of the dilated prism?

Enter your answer, as a decimal, in the box.

Answer:

The volume of the dilated prism is $93.75 \ {cm}^{3}$

Explanation:

A prism with a base area of 8 cm² and a height of 6 cm

The volume of the prism can be determined by the formula, $V=Bh$

Volume of the prism is given by

$V=Bh$

$V=(8)(6)$

$V=46\ cm^3$

Thus, the volume of the prism is $46 \ {cm}^{3}$

It is also given that the volume of the dilated prism is dilated by a factor of $\frac{5}{4}$

Hence, the new volume is given by

$Volume = 48(\frac{5}{4} )^3$

$=48(\frac{125}{64} )$

$=48(1.953125)$

$=93.75 \ {cm}^{3}$

Thus, the volume of the dilated prism is $93.75 \ {cm}^{3}$

3 0

3 years ago

Y/x^2 + y/x^3<br><br>perform the operation and express your answer as a single fraction

umka2103 [35]

Answer:

$\frac{y}{x^2}+\frac{y}{x^3}=\frac{yx+y}{x^3}$

Step-by-step explanation:

Given the expression

$\frac{y}{x^2}+\frac{y}{x^3}$

Let us perform the operation and express your answer as a single fraction

$\frac{y}{x^2}+\frac{y}{x^3}=\frac{x^3y+x^2y}{x^5}$

$=\:\frac{x^2\left(xy+y\right)}{x^5}$

$=\frac{\left(xy+y\right)}{x^3}$

Therefore, we conclude that:

$\frac{y}{x^2}+\frac{y}{x^3}=\frac{yx+y}{x^3}$

3 0

3 years ago

The sales of a certain product after an initial release can be found by the equation s=16√7t+62 where s represents the total num

Aleonysh [2.5K]

You want to replace the s with 150 in the equation and then just solve for t.
150=16√7t +62 subtract 62 from both sides
88=16√7t divide both sides by 16
5.5=√7t to get rid of the square root square both sides.
30.25=7t now divide both sides by 7
4.3 = t (approximately)
so at 4 weeks they will have sold 150 units.

3 0

3 years ago

Read 2 more answers

Todd has twice as many songs in his playlist as Vlad. Becca has three times as many songs in her playlist as Todd. If all three

nikitadnepr [17]

Answer:

Todd has 540540 songs in his playlist.

Vlad has 270270 songs in his playlist.

Becca has 162162 songs in her playlist.

Step-by-step explanation:

# of songs Todd has = T

# of songs Vlad has = V

# of songs Becca has = B

1) Todd has twice as many songs in his playlist as Vlad:

T=2V

2) Becca has three times as many songs in her playlist as Todd:

B=3T

3) All three people have a total of 243243 songs in their playlists:

T+V+B=243243

Because T=2V then you can substitute T as 2V in the second equation:

B=3(2V)

B=6V

Now in the final equation, you can substitute everything for V:

2V+V+6V=243243

9V=243243

V=27027

Now substitute for T:

T+1/2T+3T=243243

9/2T=243243

T=54054

Now substitute for B:

1/3B+1/6B+B=243243

3/2B=243243

B=162162

Check answers:

27027+54054+162162=243243

243243=243243

3 0

3 years ago

Which inequality best represents the graph? O A. 2x + y = 6 O B. x + 2y 6 O c. 2r- y< 6 O D. 2x - y > -6 E. 2x + y26​

Which inequality best represents the graph? O A. 2x + y = 6 O B. x + 2y 6 O c. 2r- y< 6 O D. 2x - y > -6 E. 2x + y26