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Marina CMI [18]

3 years ago

13

you baby-sit for 7.50 per hour and get a 4 dollar tip. your earnings E are a function of the number of hours H you baby-sit. wri

te an equation using function notation that will represent the situation. how much money do you male if you baby-sit for 6 hours?

1 answer:

docker41 [41]3 years ago

8 0

7.5+4x6

4x6=24

24+7.5=31.5

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The volume V (in cubic feet) of a right cylinder with a height of 3 feet and radius r (in feet) is given by V=3πr2. Solve the fo

Kitty [74]

Answer:

$r=\sqrt{\frac{V}{3\pi}}\\\\r\approx 5.00\ ft$

Step-by-step explanation:

-The volume of a cylinder is given by the formula:

$V=3\pi r^2$

#We make r the subject of the formula:

$V=3\pi r^2\\\\r^2=\frac{V}{3\pi}\\\\r=\sqrt{\frac{V}{3\pi}}$

#We then substitute for the stated volume and solve for r:

$r=\sqrt{\frac{V}{3\pi}}, V=236\\\\\therefore r=r=\sqrt{\frac{236}{3\pi}}\\\\r=5.00404\approx\ 5.00\ ft$

Hence, the cylinder's radius is approximately 5.00 ft

5 0

3 years ago

50 students were asked what they did last night. 16 said they read a book, 41 said they watched TV, 7 said they did neither, how

Kamila [148]

Answer:

14 students

Step-by-step explanation:

Given

Let:

$b \to$ read a book

$t \to$ watched TV

So, we have:

$n = 50$ -- total

$b = 16$

$t = 41$

$none = 7$

Required

Students that did both (x)

This is calculated using:

$Total = Books\ only + TV\ only + Both + None$

So, we have:

$n = (b - x) + (t - x) + x + none$

This gives:

$50 = (16 - x) + (41 - x) + x + 7$

Open brackets

$50 = 16 - x + 41 - x + x + 7$

$50 = 16 - x + 41 +7$

Collect like terms

$x = 16 - 50 + 41 +7$

$x = 14$

<em>Hence, 14 students did both</em>

6 0

2 years ago

Can anyone help? <br><br> If arcLM = 8x-56 and arcNP = 5x+22, find arcLP.

Mashcka [7]

Answer:

arcLP = 19

Step-by-step explanation:

Given the following

arcLM = 8x-56

arcNP = 5x+22

Required

arcLP

Given that arcLM = arcNP

8x-56 = 5x+22

8x - 5x = 22 + 56

3x = 78

x = 78/3

x = 26

Let assume arcLP = x - 7

arcLP = 26 -7

arcLP = 19

4 0

2 years ago

Order the numbers from greatest to least.<br> 332 233 323

Hitman42 [59]

Answer:

Step-by-step explanation:

332 323 233

4 0

3 years ago

Read 2 more answers

What is the measure of < DBC

notsponge [240]

Answer:

∠D B C = 41°

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given ∠ABC = 90°

In diagram ∠D B C + ∠A B D = 90°

6 x+5 + 8 x +1 = 90

14 x + 6 = 90

14 x = 90 -6

14 x = 84

<em> x = 6</em>

<u><em>Step(ii):-</em></u>

∠D B C = 6 x + 5 = 6 (6) +5 = 36 +5 = 41

<em>∠D B C = 41°</em>

<em> ∠A B D = 8(6) +1 = 49°</em>

<em>∠D B C + ∠A B D = 41° + 49° = 90°</em>

3 0

3 years ago

Read 2 more answers