Tina babysits children in her neighborhood. When Tina is asked her rate, she tells her neighbors that she charges $15 for the first hour and $8 for each hour after. If Tina's neighbor asks Tina to babysits for 4 hours, how much will Tina earn? Write an equation to model and solve the problem. Write the answer as an ordered pair and explain the meaning of the ordered pair.

Answers

Answer 1

The amount charged is an illustration of a linear equation.

Tina charges $39 for 4 hours

The given parameters are:

[tex]Base = 15[/tex] --- amount charged for the first hour

[tex]Rate = 8[/tex] --- amount charged for the extra hours

If Tina babysits for 4 hours, it means that:

She will charge $15 for the first hour$8 for the extra 3 hours

So, the total charges is:

[tex]Total = 15 + 3 \times 8[/tex]

[tex]Total = 15 + 24[/tex]

[tex]Total = 39[/tex]

The ordered pair is (4,39)

It means that:

She charges $39 for 4 hours

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Related Questions

5 is 5% of what number?​

Answers

Answer:

100

Step-by-step explanation:

any one who tells me what 2+2 is you get brainiest

yalls lucky im feeling nice today btw just put anything as a answer and ill but brainiest

Answers

Answer:

4

Step-by-step explanation:

ty

hav meme

Answer:

2 + 2 = 4

Step-by-step explanation:

Can I get brainliest mademoiselle?

The number 360 has many factors. This may be why it was chosen for the number of degrees in a full turn

Answers

Answer:

Due to having 24 divisors.

Step-by-step explanation:

360 has many factors which might be the reason it was chosen for the number of degrees in a full turn. There are total 24 divisors of 360 number which make it the highest factors among all numbers. All circles are divided into 360 even parts so that the Sun would move through 1 part each day. Each of these parts was describes 1 degree and this division give us the idea that a circle contains 360 degrees so we can say that this is the reason that 360 is chosen in degrees.

jared and zach worked all day saturday mowing lawns they earned a combined of $43 how much did each boy get

Answers

Answer:

$21.50

Step-by-step explanation:

Choose the <,>,= symbols to answer the question

Answers

Answer:

Step-by-step explanation:

1.<

2.<

3.=

4.=

5.>

6.<

7.<

8.>

Please no links . What’s the answer ?

Answers

Answer:

600 square feet

Step-by-step explanation:

I notice it says "Estimate" in bold. Therefore, you would round all of the measurements. They're all pretty simple to round (to the nearest tens place). From here, you subtract the length of the large room from the length of both rooms. So, 50 - 30 = 20. This is the length of the small room. We now multiply this by the width of the small room (since area of a rectangle is length * width) and we get:

20 * 30 = 600, our final answer

Hope it made sense. I would appreciate Brainliest, but no worries.

Which function could be represented by the graph on the coordinate plane?

f(x) = (x – 8)2 + 6
f(x) = (x + 8)2 + 6
f(x) = (x + 8)2 – 6
f(x) = (x – 8)2 – 6

Answers

Answer:

It D

Step-by-step explanation:

help me please. what is the solution for
4≤n−4

Answers

Answer:

n[tex]\geq[/tex]8

Step-by-step explanation:

You add 4 to both sides to make n the only thing on one side. Then to make the answer look better you move n to the left side and flip the symbol because n changed sides.

[tex]4\leq n-4\\ 4+4\leq n-4+4\\ 8\leq n\\ n\geq 8[/tex]

1. Find the area of the composite figure to the nearest hundredth.
55 mm
32.5 mm
12.5 mm
12.5 mm
total area =
mm?

Answers

Answer:

[tex]745.45 mm^{2}[/tex]

Step-by-step explanation:

(semicircle) A1 = 245.45 mm

(rectangle) A2 = 312.5 mm

(triangle) A3 = 187.5 mm

Formula for semicircle = [tex]A = \frac{1}{2} \pi r^{2}[/tex]

[tex]\frac{1}{2}\pi 12.5^{2} = 78.13\pi = 245.45 mm[/tex]

Formula for rectangle = [tex]A = lw[/tex]

[tex]25 x 12.5 = 312.5 mm[/tex]

Formula for triangle = [tex]A = \frac{1}{2} bh[/tex]

[tex]\frac{1}{2} 30(12.5) = 187.50mm[/tex]

Now we add them all up to get our answer

[tex]245.45 + 312.5 + 187.5 =745.45mm^{2}[/tex]

The area of the composite figure is 741.31 mm².

What is area?

The area of any object is given by the space covered by it.

Given is a composite figure having shapes, a semicircle, a triangle and rectangle,

We need to find the area of the composite figure,

So, to find the same we will find the areas of the figure and then add them,

So,

Area of a semicircle = π × radius² / 2
= 3.14 × 12.5² / 2

= 245.31 mm²

Area of a triangle = 1/2 × base × height

= 1/2 × 12.5 × 30

= 187.5 mm²

Area of a rectangle = length × width

= 12.5 × 25

= 312.5 mm²

Now, the whole area = 245.31 + 187.5 + 312.5 = 741.31 mm²

Hence the area of the composite figure is 741.31 mm².

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louise decided to purchase a new mountain bike when he saw the sporting good store was offering 20% off their bike. what is the total cost of the mountain bike if the originally price at $249 and louise must pay 7.5% sales tax

Answers

$215.13




First off $249 x 20% = $49.8 so, $249- 49.8 = 199.2 ( the price after deducting the discount), 199.2 x 8% = 15.93 (this is the price of the tax), and 199.2 + 15.93 = $215.13 ( this is the price after the discount and with taxes) :D

Use a ratio box to solve this problem the ratio of new pens was 4 to 7 in all there were 242 new pens how many new pens were in the box?

Answers

Complete Question

Use a ratio box to solve this problem the ratio of new pens to used pens was 4 to 7 in all there were 242 pens, how many new pens were in the box?

Answer:

88 new pens

Step-by-step explanation:

The ratio of new pens : Old pens = 4:7

Sum of Proportion = 4 + 7 = 11

Total number of pens = 242 pens

The number of new pens is calculated as:

4/11 × 242 pens

= 88 new pens

Therefore, the number of new pens = 88 new pens

Find the arithmetic and the geometric means of 5 and 125

Answers

Answer: The geometric mean of 125 and 5 is 25

Answer:

Arithmetic Mean: 65

Geometric Mean: 25

Step-by-step explanation:

Arithmetic Mean Formula: Sum / # of values

(5 + 125) / 2

130 / 2

65

Geometric Mean Formula: √Product of the values

√(5*125)

√625

25

A bag contains 8 red pens, 7 blue pens, and 14 black pens. Denato wants to pull a blue pen from the bag. What is the sample space for this experiment?

Answers

Answer:

The sample space is 29........

Please help I'm so stressed over this math ok here it is It costs $12.50 to enter an amusement park and $1.50 to play each game. Solve an inequality to find the number of games, g, Cole can play if he has $35 to spend at the park. Enter your answer in the box.

Answers

Answer:

12.50 + 1.50x < 35

Step-by-step explanation:

X represents the number of games that Cole plays. The admission price plus the money he spends on games should be LESS THAN or EQUAL to 35 dollars.


Find the volume of the prism?*

Answers

Answer:

The volume is 210 cm³

Step-by-step explanation:

The way to solve volume is LxWxH, so you would do 6x5x7 and you get 210.

The table and the graph show the population of a country between 2010 and 2015.

b. The average rate of population growth between 2013 and 2015 is 0.35 million
people per year. If the population continues to grow at this rate, in which year will
it reach 40 million? Explain your reasoning.

Answers

Answer:

I wanna say in the year of 2018.

Step-by-step explanation:

In 2018 the population will reach 40 million.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let us consider x years later it would reach 40 million.

So, 39.1 + 0.35 x = 40

0.35x= 40- 39.1

0.35x= 0.9

x= 2.57

x= 3 years

Hence, In 2018 the population will reach 40 million.

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please help HEYMLMUM

Answers

Answer:

J

Step-by-step explanation:

Can anyone help me with 6? Please

Answers

Answer:   (2)

Step-by-step explanation:  y=18(0.75)  0.75 as a percent is 75%, kind of like what would happen in the graph with the mathematical term Pneumonoultramicroscopicsilicovolcanoconiosis.

Find the measure of angle K. ​

Answers

Answer:

m∠K = 97°

Step-by-step explanation:

The sum of the measures of the angles of a quadrilateral is 360

127 + 5x + 3 + 10x + 7 + 88 = 360

15x + 225 = 360

15x = 135

x = 9

m∠K = 10x + 7 = 10(9) + 7 = 90 + 7 = 97°

M(-5,2) and N(5,2) are the endpoints of the sedment MN on the cordinate plane what is the length of MN

Answers

Answer:

10 units

Step-by-step explanation:

Given data

The points are

M(-5,2) and N(5,2)

x1=-5

y1= 2

x2=5

y2= 2

The expression for the distance between two points is

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((5-(-5))²+(2-2)²)

d=√10²+0²

d=√100

d=10

Hence the distance is 10 units

an astronaut drops a rock off the edge of a cliff on the moon. the distance, d(t), in meters, the rock travels after t seconds can be modeled by the function d(t) = 0.8t^2. what is the average speed, in meters per second, of the rock between 5 & 10 seconds after it was dropped?

Answers

Answer:

The average speed between the times given is 12 m/s

Step-by-step explanation:

Here, we want to calculate rate of change between the times given

Mathematically , we can get the average rate of change using the formula

f(b)-f(a)/b-a

in this case, b = 10 s and a = 5 s

f(b) is d(10) = 0.8(10)^2 = 80

f(a) is d(5) = 0.8(5)^2 = 20

Rate of change is thus;

(80-20)/(10-5) = 60/5 = 12 m/s

Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk, and chair.


(a) How many ways can this be done, if the order of the choices is relevant?


?


(b) How many ways can this be done, if the order of the choices is not relevant?

Answers

Answer:24 , 4

Step-by-step explanation:

Given

There are 4 objects

(a)When the order is relevant

We use permutation to get the no of ways, that is

Choosing 3 objects out of 4

[tex]^4P_3=\dfrac{4!}{(4-3)!}=\dfrac{4!}{1!}\\^4P_3=24[/tex]

(b) When the order is not important, the same thing can be done in

[tex]^4C_3\ \text{ways}\\\\\Rightarrow \dfrac{4!}{1!3!}=4\ \text{ways}[/tex]

Find the length of the third side. If necessary, round to the nearest tenth.
8
7

Answers

Is there a picture to this

what is the height of the object at the time of the launch?

Answers

Answer:

100 meters!

Step-by-step explanation:

PLEASE HELP FAST!!!
find the equation of the line that is perpendicular to this line and passes through the point (-7, 6)


find the equation of the line that is parallel to this line and passes through the point (-7, 6)

Answers

Answer:

-7.6

Step-by-step explanation:

Find the length of side a
13
a
5
A. 144
B. 194
C. 8
D. 12

Answers

Answer:

Step-by-step explanation:

i think i would need to see a picture

Answer:

D. 12

a^2 + b^2 = c^2

so that will be 5^2 + b^2 = 13^2

so now that we have the equation we just solve it

5^2 + b^2 = 13^2

25 + b^2 = 169

b^2 = 144

b = 12

5^2 + 12^2 = 13^2

25 + 144 = 169

so the answer is A) 12

Consider right triangle △ABC below.

Which expressions are equivalent to sin(∠B)?
Choose two answers:
A: tan(∠A)
B: length of side adjacent to ∠A/length of hypotenuse
C: sin(∠A)
D: AC/AB

Answers

Answer:

Khan academy

Step-by-step explanation:

The expressions that are equivalent to sin(∠B) are option (B) length of side adjacent to ∠A/length of hypotenuse and option (D) AC/AB are the correct answers.

What is trigonometry?

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a right-angled triangle and its angles.

For the given situation,

From the diagram,

The right angle is at ∠C, so opposite to that side is hypotenuse.

If we consider angle at ∠B, then the side opposite to that side is opposite side and the other side is adjacent side.

Thus, Sin∠B = [tex]\frac{oppposite}{Hypotenuse}[/tex]

⇒  Sin∠B = [tex]\frac{AC}{AB}[/tex]

From the options, now check which options is equivalent to Sin∠B,

Option (A): tan(∠A)

Now, consider the angle at ∠A,

so,   [tex]tan(\angle A)=\frac{oppposite }{adjacent}[/tex]

⇒  [tex]tan(\angle A) =\frac{CB}{AC}[/tex]

Option A is not equivalent to sin(∠B).

Option (B): length of side adjacent to ∠A/length of hypotenuse

⇒ [tex]\frac{AC}{AB}[/tex]

Option B is equivalent to sin(∠B).

Option C: sin(∠A)

[tex]Sin(\angle A)=\frac{CB}{AB}[/tex]

Option C is not equivalent to sin(∠B).

Option D: AC/AB

Option D is equivalent to sin(∠B).

Hence we can conclude that the expressions that are equivalent to sin(∠B) are option (B) length of side adjacent to ∠A/length of hypotenuse and option (D) AC/AB are the correct answers.

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TIME REMAINING
01:59:41
What is the length of the other diagonal, DF?
Sofia cuts a piece of felt in the shape of a kite for an art
project. The top two sides measure 20 cm each and the
bottom two sides measure 13 cm each. One diagonal,
EG, measures 24 cm.
05 cm
O 16 cm
F
21 cm
O 32 cm
20 cm
20 cm
E
G
13 cm
13 cm
D
w

Answers

Answer:

EF² = FA²+ EA²

20² = 12² + FA²

400 -144 = FA²

256 =FA²

16cm = FA

Now in Δ DAG

DG² = AG² + DA²

13² = 12 ²+ DA²

169 -144 = DA²

25 = DA²

5cm = DA

Then that means diagonal DF = DA + FA

= 5 + 16

= 21cm

Step-by-step explanation:

The value of the other diagonal DF is 21.66 cm.

What is Pythagoras Theorem?

The square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle, according to the Pythagorean theorem.

Given:

The top two sides measure 20 cm each and the bottom two sides measure 13 cm each.

EG= 24 cm.

As, Diagonal ED divides the diagonal DF into two equal parts.

Now, Using  Pythagoras theorem in triangle DOG

x²/4 + y² = 13²= 169

and, Using  Pythagoras theorem in triangle EOD

x²/4 + (24 -y)² = 20²= 169

x²/4 + 576  -48y+ 169 - x²/4 = 400

-48y= -345

y= 7.1785

now, y²= 169 - x²/4

51. 6601 = 169 - x²/4

x/2 = 10.83

x = 21.66 cm

Thus, the other diagonal DF is 21.66 cm.

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What are the coordinates of the point?


(6, −3)

(−3, −6)

(3, 6)

(−3, 6)

Answers

Answer:

(-3,6)

Step-by-step explanation:

As  graph shows x=-3 and y=6  

Answer:

-3 to +6 is the answer to the question

Giving brainliest for the correct answer

Answers

Answer:

8

Step-by-step explanation:

all sides are equal if its a square therefore a given length will be multiplied four times since all sides are equal

Answer:

8 in.

Step-by-step explanation:

Perimeter of square = 4l = 4 * 2 =. 8 in.

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Allocate eight hours per day for sleep, eight hours for school (including getting ready and travel time), three hours for homework, two hours for activities such as sports or a part-time job, two hours for dinner and family time, and one hour for socializing. These activities take up all twenty-four hours leaving scarcely any time for volunteer work. Should students have to sacrifice their one hour of socializing per day, or sacrifice an hour of precious family time? These options just dont make sense as making more demands on teens packed schedules can have serious side effects. Teens who are too busy feel tired, anxious, or depressed. Studies show they often have headaches or stomachaches due to stress, missed meals, or lack of sleep and they may fall behind in school, causing their grades to suffer. These drawbacks clearly outweigh the benefits of volunteering.What is the authors point of view concerning teenagers and their time?A. Teens spend time on frivolous things.B. 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