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Answer:

(a) Kaylee earns $19.50 per hour.

(b) Kaylee earns more money per hour than Joey.

Step-by-step explanation:

x = # of hrs. worked

y = amount of money earned

Joey:

y = 16.50x

Kaylee:

Time (h) 2, 5, 8, 10

Money earned ($) 39, 97.50, 156, 195

y = mx + b; Slope (m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

We will be using: (2,39) and (8,156) to find the slope of this table.

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{156-39}{8-2} \\\\m=\frac{117}{6} \\\\m=19.5[/tex]

y = mx + b

y = 19.5x + b

I will be using (2, 39) to find the value of b

(2, 39)

y = 19.5x + b

39 = 19.5(2) + b

39 = 39 + b

-39  -39

0 = b

y = 19.5x + b ==> y = 17.7x + 0 =  OR  y = 19.5x (since the value of b is 0)

(a) The question wants us to find out how money Kaylee earns per hour. Recall that x = # of hrs. worked and y = amount of money earned.

y = 19.5x

She earns $19.50 per hour.

(b)

Joey: y = 16.50x (earns $16.50 per hour)

Kaylee: y = 19.5x (earns $19.50 per hour)

As you can see, Kaylee earns more money per hour than Joey.

Hope this helps!

Answer:

0.0067307692307692

Step-by-step explanation:

There are different kinds of shapes. The shapes have been sorted below:

The term shape is a word that connote the form or dimensions  of an object and also their outline.

It is made up of outer boundary and also outer surface. Most of everything in the world today do have shape.

Learn  more about Angles from

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Answer:

rectangle

Step-by-step explanation:

trust

Answer:A

Step-by-step explanation:

Such probability is calculated by dividing the number of mystery books by a total number of books:

    --> [tex]\frac{16}{32} = \frac{1}{2}[/tex]

Thus the probability that the book is a mystery book is 1/2.

Hope it helps!

Answer:

Php 973.00

Step-by-step explanation:

Aling Luz bought 3/8 yards of linen cloth which cost Php 72.00 per yard.She gave Php 1000.00 to the cashier.How much change will she?

Number of yards bought = 3/8

Cost of a yard = Phone 72.00

Cost of number of yards bought = Number of yards bought × Cost of a yard

= 3/8 × Php 72.00

= Php 27.00

She gave Php 1000.00 to the cashier.

How much change will she?

= Amount given to the cashier - cost of yards bought

= Php 1000.00 - Php 27.00

= Php 973.00

Step-by-step explanation:

5(h + 9) = 5×h + 5×9 = 5h + 45

Answer: 5h+9!

Step-by-step explanation: hope this helps!! -marina mae :)

Step-by-step explanation:

3x+21 6x-60

=3x+6x 21-60

=18x 81

d.b.s by 18

18/18×81/18

0/1×4.7/1

x=4.7

I thinkthat the answer

Answer:

1/3

Step-by-step explanation:

Answer:

a. 1. 175

2. 250

3. 325

b. 75t + 100

c. 75(5)+100 = $475

Step-by-step explanation:

Answer:

F(m)=50*1.03^m

Step-by-step explanation:

Answer: 18 inches taller

Step-by-step explanation: covert the 2 feet to inches, which is 24 inches plus the 3 inches to have 27 inches. 27 inches minus the 9 inches equals 18 inches

Answer:

18 inches taller

Step-by-step explanation:

look at the 2 picture to see the answer I wrote out

Assuming you meant every 1/3 hour, she will tell 48 jokes

1/3 hr = 20 mins

16 hrs = 960 mins

960/20= 48 jokes

You could also take 16 hrs and the 3 from 1/3, 16*3=48

Much faster method i forgot until just now..

Answer:

(X)73.2miles=the change in the constant rate of miles.

the number of miles times 73.2 equals the constant change of miles.

Answer:

1530 is the sum of 2+1528

Answer:

1,530

Step-by-step explanation:

Answer:

4th degree, with 3 terms, 3, 8x^4x, 8

Step-by-step explanation:

Answer:

a) s = 2a sinh(b/a)

b) 18 feet

Step-by-step explanation:

The arc length is:

s = ∫ √(1 + (dy/dx)²) dx

y = a cosh(x/a)

y = ½ a (e^(x/a) + e^(-x/a))

dy/dx = ½ a (1/a e^(x/a) − 1/a e^(-x/a))

dy/dx = ½ (e^(x/a) − e^(-x/a))

(dy/dx)² = ¼ (e^(2x/a) − 2 + e^(-2x/a))

Plugging in:

s = ∫ √(1 + ¼ (e^(2x/a) − 2 + e^(-2x/a))) dx

s = ∫ ½ √(4 + e^(2x/a) − 2 + e^(-2x/a)) dx

s = ∫ ½ √(e^(2x/a) + 2 + e^(-2x/a)) dx

s = ∫ ½ √(e^(x/a) + e^(-x/a))² dx

s = ∫ ½ (e^(x/a) + e^(-x/a)) dx

s = ½ (a e^(x/a) − a e^(-x/a))

s = ½ a (e^(x/a) − e^(-x/a))

Evaluate from x=-b to x=b:

s = ½ a (e^(b/a) − e^(-b/a)) − ½ a (e^(-b/a) − e^(b/a))

s = ½ a e^(b/a) − ½ a e^(-b/a) − ½ a e^(-b/a) + ½ a e^(b/a)

s = a e^(b/a) − a e^(-b/a)

s = a (e^(b/a) − e^(-b/a))

s = 2a sinh(b/a)

We know that s = 48, and b = 20.  We also know y = 30 when x = b.

48 = 2a sinh(20/a)

24 = a sinh(20/a)

30 = a cosh(20/a)

Using the given identity:

cosh²(20/a) − sin²(20/a) = 1

a² cosh²(20/a) − a² sin²(20/a) = a²

30² − 24² = a²

a² = 324

a = 18

Therefore, the wire will be 18 feet above the ground at the lowest point.

Reflecting the triangle ABC implies that the new position would be a mirror of the previous position

The statement that logically comes next is (c) Translate triangle ABC, so that point A maps to point W

After reflecting the triangle ABC, the next step is to map point A to point W on the coordinate plane.

This is done by translating the triangle ABC i.e. by shifting or moving the triangle ABC so that points A and W would be on the same point

Hence, the statement that logically comes next is (c)

Read more about transformation at:

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Answer:

1, 2, 5 & 10

Step-by-step explanation:

Answer:

9/2 or if that doesn't work try 4 1/2

Step-by-step explanation:

The probably of getting a plain pencil from the first box is 9/10. The probability of getting a color pencil from the second box is 5/10. If you multiply those you get 9/2 or 4 1/2.

Answer:

8 quarts

Step-by-step explanation:

Answer: 8 quarts

Step-by-step explanation: proof with other answers

Answer:

The symbol we can be used is " > "

Step-by-step explanation:

To compare two fractions you must make their denominator equal

Example:

To compare the fractions [tex]\frac{3}{4}[/tex] and [tex]\frac{7}{50}[/tex] ,

Let us solve the question

∵ The fractions are [tex]\frac{2}{5}[/tex] and [tex]\frac{35}{100}[/tex]

→ Change denominator 5 to 100 by multiplying it by 20

∵ [tex]\frac{2}{5} =\frac{2*20}{5*20}=\frac{40}{100}[/tex]

∵ 40 > 35

∴ [tex]\frac{40}{100}>\frac{35}{100}[/tex]

∴ [tex]\frac{2}{5}>\frac{35}{100}[/tex]

∴ The symbol we can be used is " > "

Answer:one is D

Step-by-step explanation:

Answer:D

Step-by-step explanation:

The table that shows a constant rate of change of -3 is Table D.

Option D is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The constant rate of change (r):

Take two ordered pairs (a, b) and (c, d)

= (d - b) / (c - a)

Now,

From Table D.

We see that,

r = (-1 - 2) / (-21 + 22) = -3/1 = -3

r = (-4 + 1) / (-20 + 21) = -3/1 = -3

r = (-7 + 4) / (-19 + 20) = -3/1 = -3

Thus,

The table that shows a constant rate of change of -3 is Table D.

Learn more about expressions here:

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Answer: positive 3 is the final answer

Step-by-step explanation:

Answer:

9/3 or just 3

Step-by-step explanation:

First we need to recognize that points are given by numbers that represent the x and y coordinates (or locations) of the point. So in this problem, the first point (-1,5) has an x value of -1 and a y value of 5. Similarly the second point has an x value of -4, and a y value of -4.

Slope is defined as rise over run, or change in y (rise as it goes up or down)  over the change in x (or run as it moves left or right).

Change in x and y can be found by subtracting the first number from the second number.

So to calculate this, set up your equation like this:

[tex]\frac{5-(-4)}{-1-(-4)}[/tex]

After performing the subtraction, you should get:

[tex]\frac{9}{3}[/tex]

This further simplifies to 3.

keeping in mind that 1 hour has 60 minutes, then

[tex]\begin{array}{ccll} miles&minutes\\ \cline{1-2} 132 & 60\\ 11& x \end{array} \implies \cfrac{132}{11}=\cfrac{60}{x}\implies 12=\cfrac{60}{x} \\\\\\ 12x=60\implies x=\cfrac{60}{12}\implies x=5[/tex]