Harry has a part-time job as a babysitter. The table below shows the amount of money Harry earned for different numbers of hours of work:

Harry's Earnings from Babysitting
Number of Hours Worked Money Earned (dollars)
5 60
6 72
8
120

Part A: What are the missing numbers in the table? Show your work. (4 points)

Part B: Harry also does part-time yard work. The ratio of the number of hours Harry works in the yard to the money he earns in dollars is 1:10. Create a table to show the money earned by Harry for 5, 6, and 8 hours of work in the yard. (3 points)

Part C: How many more dollars does Harry earn working as a babysitter for 5 hours than doing yard work for 5 hours? Show your work. (3 points)

Answer:

2,802 boys and 3,693 girls went to Disneyland this weekend

Step-by-step explanation:

System of Equations

Let's call:

b = Number of boys who went to Disneyland this weekend.

g = Number of girls who went to Disneyland this weekend.

The first condition states there was a total of 6,405 people who went to Disneyland this weekend, thus:

[tex]b+g=6,405\qquad\qquad [1][/tex]

The second condition states that the ratio of boys to girls is 7 to 9. This can be written as:

[tex]\displaystyle \frac{b}{g}=\frac{7}{9}\qquad\qquad [2][/tex]

To eliminate denominators, multiply [2] by 9g:

[tex]\displaystyle (9g)\frac{b}{g}=(9g)\frac{7}{9}[/tex]

Simplify:

[tex]9b=7g\qquad\qquad [3][/tex]

From [1]:

[tex]b=6,405-g[/tex]

Substituting into [3]

[tex]9(6,405-g)=7g[/tex]

Operating:

[tex]57,645-9g=7g[/tex]

Simplify:

[tex]16g=57,645[/tex]

Solve:

[tex]g=57,645 / 16 \approx 3,603[/tex]

Take the approximate value:

g=3,603

Find b:

[tex]b=6,405-3,603=2,802[/tex]

2,802 boys and 3,693 girls went to Disneyland this weekend

Note: Due to the nature of the problem, the results had to be rounded to the nearest integer. This condition makes the ratio not being exactly as required.

(2x + 6) - (7x+3)

= 2x + 6 - 7x - 3

=2x - 7x + 6 - 3

= -5x + 3

Answer:

The answer is (-5x + 3).

Step-by-step explanation:

Answer:

The radius is 3.66 if you need to round it would be 3.70.

Step-by-step explanation:

r= c/2[tex]\pi[/tex]

23/2pi= 3.66

The radius of the circle for the circumference of the circle is 23 inches is,

⇒ r = 3.66 inches

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

The circumference of the circle is 23 inches.

Now, We know that;

The circumference of the circle = 2πr

Where, r is radius of the circle.

Hence, We get;

⇒ 2πr = 23

⇒ πr = 23/2

⇒ 3.14 × r = 11.5

⇒ r = 11.5 / 3.14

⇒ r = 3.66 inches

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Answer:

1 1/5 mile

Step-by-step explanation:

3/4 + 2/3 = 9/12 + 8/12 = 17/12 = 1 1/5

Answer:

tuff

guess you will fail

Step-by-step explanation:

Answer:

2 by 2

Step-by-step explanation:

or 4 by 4 I think I mean that would be mine

Answer:

The perfect squares are the squares of the whole numbers: 1 4 9 16 25 36 49, 64, 81, 100  Here are the square roots of all the perfect squares from 1 to 100. 1

Step-by-step explanation:

Answer:

 37543.3333333 meters per hour

Step-by-step explanation:

Answer:

i think it is (0,-2). y=mx+b

(-1,-9) and (0, -2) lie on the graph of 7x - y = 2.

A graph in two dimension is the set of points which relates two variables according to a give equation in two variables.

Given,

7x - y = 2

Therefore, the points which satisfy this equation lie on the graph of the equation.

In case of (-1,-9)

7(-1) - (-9) = 2

-7 + 9 = 2

Which is true.

Similarly for (0,-2)

7(0) - (-2) = 2

0 + 2 = 2

Which is true.

Hence, (-1,-9) and (0, -2) lie on the graph of 7x - y = 2.

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Answer

2304 feet per day

Step-by-step explanation:

The object will move 2304 feet per day.

Speed is the distance an object moves in per unit of time.Speed is a scaler quantity because in speed the direction is not specified.

According to he given question an object is moving at a speed of 32 yards per hour.

We know 1 yard is = 3 feet.

∴ 32 yards is = 3×32 = 96 feet.

So, the object is moving at a speed of 96 feet per hour.

We also know that 24 hours is = 1 day.

The object moves 96 feet hour.

∴ The will move (96×24) feet per day.

= 2304 feet per day.

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The value of 70 fluid ounces in liters would be, 2.065 liters

Used the concept of measurement unit that states that,

A measurement unit is a standard quality used to express a physical quantity. Also, it refers to the comparison between the unknown quantity with the known quantity.

To change 70 fluid ounces in liters.

Since we know that,

1 fluid ounce = 0.0295 liters

Hence, change the units of 70 fluid ounces in liters,

1 fluid ounce = 0.0295 liters

70 fluid ounce = 70 × 0.0295 liters

= 2.065 liters

So, we get;

70 fluid ounce = 2.065 liters

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Answer:

Step-by-step explanation:

Substitute a = -3 and b = -8 to the expression 10a²b⁰:

10(-3)²(-8)⁰ = 10(9)(1) = 90

a⁰ = 1 for any real number

Answer:

90

Step-by-step explanation:

10a^2b^0

Let a=–3, b=–8

10 (-3)^2 ( -8)^0

10 * 9 *1

90

Answer:

Henry ran 3.43 kilometers last week. He ran 6.25 kilometers this week. How many

kilometers did run in all?

Step-by-step explanation:

Henry ran 3.43 kilometers last week. He ran 6.25 kilometers this week. How many

kilometers did run in all?

Answer:

9.68 kilometers

Step-by-step explanation:

Answer:

x= -3

Step-by-step explanation:

4x+1=3x-2

4x-3x=-2-1

x={-3}

Answer:

ummmmmwm whatttt

Step-by-step explanation:

vbbbbhh

Answer:

a. A​ relative-frequency distribution is to a variable as a​ ___probability_______ distribution is to a random variable. b. A​ relative-frequency histogram is to a variable as a​ _____probability_____ histogram is to a random variable.

Step-by-step explanation:

Probability is a type of mathematics which deals with numerical descriptions of how likely an event would occur, or how likely it is that a the occurrence would be true. The probability of an event is usually between 0 and 1,

where 0 represent impossibility and 1 represents the chance of it occurring.

a. A​ relative-frequency distribution is to a variable as a​ frequency distribution is to a random variable.

b. A​ relative-frequency histogram is to a variable as a​  frequency histogram is to a random variable.

The relative frequency of an event is defined as the number of times that the event occurs during experimental trials, divided  by the total number of trials conducted.

A frequency distribution is an overview of all distinct values in some variable and the number of times they occur.

So, a. A​ relative-frequency distribution is to a variable as a​ frequency distribution is to a random variable.

b. A​ relative-frequency histogram is to a variable as a​  frequency histogram is to a random variable.

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Answer:

z =  83  /( -c+6-t)

Step-by-step explanation:

-cz+6z= tz+83

Subtract tz from each side

-cz+6z -tz= tz-tz+83

-cz+6z- tz=83

Factor out a z

z( -c+6-t) = 83

Divide by ( -c+6-t)

z( -c+6-t)/( -c+6-t) = 83  /( -c+6-t)

z =  83  /( -c+6-t)

Answer:

the equation is c=4.50p

Step-by-step explanation:

Answer:

648

Step-by-step explanation:

Volume of a cylinder =Pi× r²×h

volume of the cylinder before melted

v=Pi×18²×40

v=40715.04cm³

Volume of the smaller cylinder

v=Pi×2²×5

v=62.83

40715.04÷62.83

=648.019

=648 small cylinder can be made

The graph is missing, so i have attached it;

Answer:

Constant of proportionality = 0.75

Step-by-step explanation:

From the graph attached, we are given 3 coordinate points of (x, y) namely;

(120, 90), (250, 187.5), (400, 300)

Now, constant of proportionality for each coordinate point is simply;

k = y/x

Thus, for first coordinate point (120, 90),

k1 = 90/120

k1 = 0.75

For 2nd coordinate point (250, 187.5),

k2 = 187.5/250

k2 = 0.75

For third coordinate point (400, 300),

k3 = 300/400

k3 = 0.75

From each of the 3 points, we can see the constant of proportionality is the same and equal to 0.75.

Answer:

C

Step-by-step explanation:

Answer:

alternate exterior angles

Step-by-step explanation:

Answer:

12 girls =)

Step-by-step explanation:

Make a table labeled girls and boys like this

2|3

4|6

6|9

8|12

Multiply until you get to 8 boys

Answer:

15 square for six stage

Answer:

21

Step-by-step explanation:

stage 1:  1

stage 2: 3

stage 3: 6

the pattern is that the number of squares increases everytime by the stage number it is. for example stage 2 has 3 squares. to find stage 3 you start off with 3 squares (from stage 2), and add the stage number (stage 3). 3+3=6 so stage 3 has 6 squares.

stage 4: 10 (6+4)

stage 5: 15 (10+5)

stage 6: 21 (15+6)

Answer:

hkkkkkkkkv

Step-by-step explanation:

khvvvvvvvvvvvvvvv

Answer:

Divergent

Step-by-step explanation:

an = 3 sin(2/n)

Choose bn = 3 (2/n).

Using Limit Comparison Test:

lim(n→∞) an / bn

= lim(n→∞) [3 sin(2/n)] / [3 (2/n)]

= lim(n→∞) [sin(2/n)] / (2/n)

= 1

The limit is greater than 0, and bn diverges, so an also diverges.

Answer:

P(x) = 17

Step-by-step explanation:

P(5) = -3 + 4(5)     <- Substitute X

P(5) = -3 + 20       <- Multiply

P(5) = 17                <- Combine Like Terms

Answer:

P(5)=-3+4(5)

P(5)=-3+20

P(5)=17

Answer:

0.375 or 3/8

Step-by-step explanation:

calculator :)