The cost for children under twelve at a certain buffet restaurant is a base charge of a dollar plus twenty-five cents for each year of the child's age. Represent this cost as an expression, using y to stand for the child's age in years. Then use the expression to find the cost for a child who is nine.

Answers

Answer 1

Answer:

[tex]Cost = 1 + 0.25y[/tex]

[tex]Cost =3.25[/tex]

Step-by-step explanation:

Given

[tex]Base\ Amount = \$ 1[/tex]

[tex]Additional = 25cents[/tex] of child's age

Solving (1):

Determine the cost function.

Represent the years as y.

So, we have:

[tex]Additional = 25cents[/tex] * y

Convert 25 cents to dollars.

[tex]25 cents = 25 * \$0.01[/tex]

[tex]25 cents = \$0.25[/tex]

So, we have:

[tex]Additional = \$0.25 * y[/tex]

The cost amount is then:

[tex]Cost = Base\ Amount + Additional[/tex]

[tex]Cost = 1 + 0.25y[/tex] --- This is the cost function

Solving (b): Cost of 9 years old.

In this case;

[tex]y = 9[/tex]

Substitute 9 for y in [tex]Cost = 1 + 0.25y[/tex]

[tex]Cost =1 + 0.25 * 9[/tex]

[tex]Cost =1 + 2.25[/tex]

[tex]Cost =3.25[/tex] --- This is the cost for a child of 9

Answer 2

Answer:

1+0.25y, 2.25

Step-by-step explanation:

You would express the added 25 cents times the age of the child since the age is represented by the variable y, you would put 0.25y

then to find what the cost is for a nine year old you would multiply 9 by 25 and at the end of multiplying you would move the decimal from zero two times to the left. In case you don't understand how you could move the decimal from zero, there is always a decimal to the right of a whole number where the number ends its just not seen because there is no decimal in the number to represent. The decimal would still be there just it would be invisible but it becomes visible when there is a decimal number to represent.

hope this helps someone, keera


Related Questions

What do you need if you have to write the equation of a parabola?

Answers

This straight line outside the parabola is called the directrix. For parabolas that open either up or down, the standard form equation is (x - h)^2 = 4p(y - k). For parabolas that open sideways, the standard form equation is (y - k)^2 = 4p(x - h). The vertex or tip of our parabola is given by the point (h, k).

Let f (x) = 3x² + 2x – 1 and g (x) = x2 – 3x + 1
Find f(x) + g(x)
4x2 - x
4x2 + 5x
2x2 - 5x + 2
4x2 - x + 2

Answers

Answer:

4x² - 1

Step-by-step explanation:

Add:

3x² + 2x - 1

x² - 3x + 1

= 4x² - x

12⁴x 9³ x 4
6³ x 8² x 27​

Answers

Answer:

12⁴ × 9³ x 4 = 60,466,176

6³ × 8² × 27 = 373,248

Step-by-step explanation:

You could use the expanded form to calculate the answer

12⁴ = 20,736

9³ = 729

4 = 4

20,736 × 729 × 4 = 60,466,176

6³ x 8² x 27​

6³ = 216

8² = 64

27 = 27

216 × 64 × 27 = 373,248

Q: What is the measure of <8?
A)45
B)55
C)155
D)135
Please needed help asap!

Answers

Answer:

your answer should be, D.135

i hope this helps!

Answer:

D) 135

Step-by-step explanation:

--------------- = 180 degrees

It's split and the other half is 45 degrees.

All you have to do is subtract.

180-45=135

<8 = D) 135

Plz HELP graph of the four functions.

Answers

Answer:

Use math-way for the rest

Step-by-step explanation:

Hope this helps!

Jenny works mowing lawns and babysitting. She earns $8.80 an hour for mowing and $7.70 an hour for babysitting. How
much will she earn for 1 hour of mowing and 3 hours of babysitting?

Answers

Answer:

$31.90

Step-by-step explanation:

Hope it helps :)

Have a good day/night

Brainliest pls?

PLS HALLP (20 POINTS)

Using the graph of f(x) and g(x), where g(x) = f(k⋅x), determine the value of k.
Graph of two lines. f of x passes through 3, 5 and 4, 10, and g of x passes through one half, 0 and 1, 10.

a, 4
b.one fourth
c. negative one fourth
d.−4

Answers

Answer:

The value of k is -2

Step-by-step explanation:

The cut point with the y axis for both graphs occurs when x = 0

We then have:

For f (x):

The cut point for the y axis is:

For g (x):

The cut point with the y axis is:

The value of k is given by the vertical displacement of graph k units.

We then have:

Let's clear k:

I know that this is not the answer you are looking for but maybe you can use the step-by-step explanation to figure it out

Answer:

wsg guys the answer is 4

Step-by-step explanation:

Factor the expression completely.
40x + 32

Answers

Answer:

8(5x+4)

Step-by-step explanation:

divide by the GCF 8

Answer:

8(5x + 4)

I hope this helps!

Amber is 11 years younger than Adrianna. The sum of their ages is 17. How old are Amber and
Adrianna?
Amber is
years old and Adrianna is
years old.

Answers

x+11 + x = 17

2x = 6

x =3

Amber is 3 years old and Adriana is 14 years old.

What is the area of this figure?
2 cm
4 cm
6 cm
3 cm
2 cm
3 cm
1 cm
5 cm

Answers

Answer:

26.5

Step-by-step explanation:

3x3/2+8x2+3x2=26.5

The correct answer is 26.5

Leah is an interior designer. She will use the scale drawing shown of two bedrooms and a shared bathroom to create her designs for her client. 25 points please help quick!!!!!



What are the dimensions of the outer rectangle in Leah’s scale drawing?

A. 3 3/8 x 5 5/8

B. 5 5/8 x 9

C. 6 3/4 x 5 5/8

D. 15 x 24

Answers

*see attachment for the scale drawing

Answer:

5⅝ in × 9 in

Step-by-step explanation:

Dimensions of the actual length = 15 ft by (9 + 6 + 9) ft

Dimensions of the actual length = 15 by 24 ft = 15 ft × 24 ft

Using the scale given as ⅜ in = 1 ft, let's find the dimensions of Leah's scale drawing of the outer rectangle.

Multiply each dimension in ft by ⅜ to get the dimension of the outer rectangle's scale drawing:

[tex] 15 * \frac{3}{8} = \frac{15*3}{8} = \frac{45}{8} = 5\frac{5}{8} [/tex]

[tex] 24 * \frac{3}{8} = 3 * 3 = 9 in [/tex]

Therefore, the dimensions of the scale drawing of the outer rectangle = 5⅝ in × 9 in

Use a common denominator to find –12+(-3).
Explain your answer.

Answers

The answer is 15 because you have two equal signs so they add up and that's why it gives that answer

The correct answer is 15

Have a nice day / night!

On a standardized multiple choice test, 3 points were awarded for a correct answer, while a wrong answer caused a deduction of 1 point, and no points were awarded or deducted for omitted questions If Marjorie received a score of 84 when she omitted 4 of the 40 questions on the test, how many did she get right? How many did she get wrong?

Answers

Answer: She got 30 questions right and 6 questions wrong.

Step-by-step explanation:

Let x = Number of correct questions, y = Number of wrong questions

As Award for each correct answer = +3 points and Award for each wrong answer = -1 point.

Total score = 3x-1y

If Marjorie omitted 4 of the 40 questions, then she did 40-4=36 questions.

Now, x+y = 36 (1)

and 3x-y =84   (2)  (as she scored 84)

Adding (1) and (2), we get

4x = 120

Divide both sides by 4, we get

x= 30

y = 36-30=6

hence, she got 30 questions right and 6 questions wrong.

How many degrees are in a twelfth of a full turn?

Answers

Answer:

30 degrees

Step-by-step explanation:

A full turn is 360 degrees. The question asks for a twelfth of a turn, so all you need to do is divide 360 by 12! 360/12=30...30 is your answer!

Hope this helps you out...have an amazing day c:

360/12 = 30 (360 is one full turn, duh)

Which of the following is equal to 4 1/2 ÷ 2 2/3 ??? I need help answering this question.

Answers

Answer:

27/16 the same as 1 11/16

Step-by-step explanation:

First, make it an improper fraction:

9/2 ÷ 8/3

now flip the second number and multiply across:

9/2 × 3/8 = 27/16

help is it a, b or c??

Answers

Answer:

B

Step-by-step explanation:

A translation is just moving the same shape on a grid, thus nothing changes.

It’s an B because the answer is there

What is the slope of a line that is parallel to y= 3x+5?
Answer here_________​

Answers

Answer:

3

Step-by-step explanation:

The slope of a line parallel to another should be the same, therefore the answer is 3. To ensure the lines do not overlap make sure the y-intercepts are different.

I need a quick run down of point slope form

Answers

Answer:

Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).

Step-by-step explanation:

Answer:

Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line.

Hope this helps you Stay happy and safe ✌️

what is a counting system? what different types of counting systems are there? please help !

Answers

Answer:

A numeral system is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner. The same sequence of symbols may represent different numbers in different numeral systems.

Step-by-step explanation:

Different types:

Oksapmin, base-27 body part counting. Photo Courtesy of Austronesian Counting. ...

Tzotzil, base-20 body part counting. ...

Yoruba, base-20 with subtraction. ...

Traditional Welsh, base-20 with a pivot at 15. ...

Alamblak, numbers built from 1, 2, 5, and 20. ...

Ndom, base-6. ...

Huli, base-15. ...

Bukiyip, base-3 and base-4 together.

Answer:

"A numeral system (or system of numeration) is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner. The number the numeral represents is called its value." Found on google not my words!

Step-by-step explanation:

Some different types are:

Decimal number system (Base- 10)

Binary number system (Base- 2)

Octal number system (Base-8)

Hexadecimal number system (Base- 16)

I WILL GIVE BRAINLIST IF YOU ANSWER ALLLLLLLLL

Activity
A pom pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r). If each pom pom has a total of 80 strands, how many strands of each color are needed to make a pair of pom-poms?
Part C How many strands of each color are required to make a pair of pom-poms? Use the values you found in part B for w, b, and r. Show your work


Part D You can solve the problem in Part C using a different method. To set up this method, first find the total number of strands required to make pair of pom-poms.


Part F Did you get the same answer in part C and E?

Answers

Answer: 28 white strands , 20 blue strands and 32 red strands are needed to make a pair of pom-poms

Step-by-step explanation:

Given :A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r).

To Find : If each pom-pom has a total of 80 strands, how many of strands of each color are needed to make a pair of pom-poms?

Solution:

Total Strands = 80

White Strands = 35%

No. of white strands =

Blue Strands = 25%

No. of blue strands =

Red Strands = 40%

No. of Red strands =

What is the slope of the line that passes through the points (0,0) and (6,0)?
Slope =

Answers

Answer:

0

Step-by-step explanation:

it has a zero slope

0,0

6,0

0-0=0

6-0=6

0/6 is 0

If 3 (x + 2) – 2(x + 1) = 8
what is the value of x

Answers

Answer:

x=4

Step-by-step explanation:

x+4=8

x+4-4=8-4

x=4

how much is 2 dollars

Answers

Answer:

2 dollars is 200 cents

Step-by-step explanation:

dksjei

True or False?
If two straight lines intersect, then the angles opposite that intersection have the same supplement​

Answers

I think it’s False. No I’m pretty sure it’s False.

Select True or False for each statement.

A.16.302 rounded to the nearest whole number is 16 feet per second.
Select True or False for each statement.

16.302 rounded to the nearest whole number is 16 feet per second.
16.302 rounded to the nearest tenth is 16.3.
16.302 rounded to the nearest hundredth is 16.31.
16.302 rounded to the nearest tenth is 16.3.
C.16.302 rounded to the nearest hundredth is 16.31.

Answers

Answer:

True

True

False

if medain of 10, 20, x+5,x+10,50,60 is 35 then find x

Answers

Answer:

X = 27

Step-by-step explanation:

10, 20, 32, 37, 50, 60

First things first, take off 10, 20, 50, and 60.

Now, you remain with 32 and 37. Now from here it is simple.

Average of 32 and 37 = 34.83

Round 34.83 to 35

32 averaging 37 (Rounding Terms) ≈ 35

So X is 27

Select the symbol that properly compares each pair of numbers:

a. -|-15| ___ -(-15)

• <
• >
• =

b. |-18| ___ -18

• <
• >
• =

c. -|-3| ___ -|3|

• <
• >
• =

d. -|-6| ___ |-6|

• <
• >
• =

Answers

Answer:

a. >

b.<

c.=

Step-by-step explanation:

PICK ALL THAT ARE EQUIVALENT TO -5/19

Answers

Answer:

Step-by-step explanation:

The anwser is 2,3,4,5

Answer:

...

Step-by-step explanation:

hey your from my middle school! we are in the same class!

During a promotional weekend, a state fair gives a free admission to every 188th person that enters the fair. On Saturday, there were 6,737 people attending the fair. On Sunday, there were 8,669 people attending the fair. How many people received a free admission over the two days?

Answers

Answer: 81 people

Step-by-step explanation:

Number of people that attended fair on Saturday = 6737

Number of people that got free admission = 6737/188 = 35.8.

Free admission on Saturday = 35

Number of people that attended fair on Saturday = 8669

Number of people that got free admission = 8669/188 = 46.1

Free admission on Sunday = 46

The people who received a free admission over the two days will be:

= 35 + 46

= 81 people

Can y’all help please I’ll mark Brainly for first responders

Answers

Answer:

1=$1

2=$2

3=$3

4=$4

Step-by-step explanation:

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