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DENIUS [597]
2 years ago
14

I NEED SOMEONE WHO IS SUPER SMART! I NEED HELP! PLEASE. I WILL GIVE BRAINIEST!!!!! THIS IS 30 POINTS. PLEASE!!!

Mathematics
1 answer:
kipiarov [429]2 years ago
7 0

Hey there mate :)

As per question,

Options (a), (b) and (d) are correct.

<h3>Proof :-</h3>

(a) <em><u>The cost per visit to a community pool.</u></em>

Considering x = number of visits to the pool

a = fixed cost of visit.

So, the cost per visit to the pool y will be ax

Therefore, this represents a linear function.

And

<em><u>The neighborhood charges a yearly fee to use the pool.</u></em>

Assuming x = number of years

a = fixed fee to use the pool

So the yearly fee to use the pool y will be ax

Therefore, this represents a linear function.

(b) <em><u>The cost to attend a show at the local theater. Tickets are $12 each.</u></em>

Let x = number of shows

Let the cost of one show = $12.

Now, the cost of x shows y will be 12x

So, it represents a linear function.

(d) <em><u>The distance a bicyclist travels when cycling at a constant speed of 30 mph. </u></em>

Assuming <em>x</em>= time

Speed = 30 mph.

Since the distance (y) is given as:-

Distance = Speed×time, so,

<em>=> y = 30x</em>

Hence, this also represents a linear function.

<u>Hence, all correct option are proved</u>

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Armando got a job selling bags of peanuts at the local art festival. He is paid a fixed amount of $320 per
skelet666 [1.2K]

0.67n + 320

=(0.67 * 430) + 320

= 288.1 + 320

= $608.1

0.67n + 320 = 728.70

0.67n = 728.70 - 320

0.67n = 408.7

n = 408.7 / 0.67

n = 610 Bags of peanuts

6 0
2 years ago
What is the length of the diagonal, d, of the rectangular prism shown below?
Lena [83]

Answer:

d = 10√10 ≈ 31.62

Step-by-step explanation:

d = √l²+w²+h²

d = √5²+8²+2²

d = √25+81+4

d = √110

d = 10*√10

4 0
3 years ago
Read 2 more answers
the ratio of men and women in a certain factory is 3 to 4. there are 198 men. How many workers are there?
LUCKY_DIMON [66]

3 men

4 women

7 total


3 men/ 7 total = 198 men/ x total

using cross products

3*x = 7 * 198

divide each side by 3

x = 7*198/3

x = 462

There are 462 workers


If you mean 3 men and 1 women for a total of 4 workers when you state a  ratio of men and women in a certain factory is 3 to 4.

3/4 =198/x

Using cross products

3x = 4* 198

Divide each side by 3

3x/3 = 4*198/3

x =264

264 workers


It all depends on how you define ratio of men and women in a certain factory is 3 to 4.   This is incorrect phrasing and I took it to be men to women.   You cannot have a ratio of men and women.




5 0
3 years ago
Which of the following is in order from least to greatest
vovangra [49]
The third option is ordered least to greatest
4 0
2 years ago
What is the equation of the line that began with a y-intercept of (0,4), was shifted up 3 units, and is perpendicular to y = 3/4
timama [110]

Answer:

Option A

y=-4/3x+7

Step-by-step explanation:

To solve this, we need to understand the various components of the equation of a straight line.

A straight line has the equation: y =mx + c

<em>m</em> is the slope and<em> c</em> is the intercept on the y-axis. If we can get these two components, we can figure out the equation for the new line.

Calculating the slope, <em>m</em>

To obtain the slope of the new line, we use the fact that it is perpendicular to the slope of the line y = 3/4x-2.

This means that

3/4 X <em>m</em> = -1

<em>m</em> = -4/3

To obtain the intercept, <em>c</em>

The intercept can be obtained by adding 3 to the y-component of (0, 4).

This will give (0, 7). Hence the intercept c will be 7.

Therefore, the equation of the line will be y = -4/3x+7. Option A

7 0
2 years ago
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