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

Find the value of x.

Answers

Answer:

sdf

Step-by-step explanation:

sdff

For the first one, 132 and 4 + x make a straight line, and a straight line is 180 degrees, so:

132 + 4 + x = 180

Add 132 and 4.

136 + x = 180

Subtract 136.

x = 44

You are right!

For the second one, 68 + x + 9 form a right angle, and a right angle is 90 degrees, so:

68 + x + 9 = 90

Combine 68 and 9.

77 + x = 90

Subtract 77.

x = 13

Hope this helps

if you dog a 6ft hole...how deep is that hole??
-Beetlejuice

Answers

Answer:

im confused lol

Step-by-step explanation:

Answer:

6ft

Step-by-step explanation:

plz help me with this i do not understand math stuff

Answers

Answer: Pink choice: y= -6x -2

Step-by-step explanation:

In order to be parallel, the slope must be the same. You find the slope as the number or fraction connected to x. ("co-efficient" of x in math talk)

In the given equation, that is -6.  (So that knocks out the first two choices)

The other thing to look at is the y-value of the given coordinate,(-1,4)

(The y-value is the second number in the coordinate (x.y) is the pattern)

and compare it to the the last number in the equations in the choices and     Here the Yellow choice has y= -6x + 4 so this line can't pass through the coordinate given, because  +4 in this equation is where the line crosses the y-axis. ("y-intercept"  in math talk)  So yellow choice is out!

The attachment shows what the graphs of the choices look like.

The black line is the correct answer. The given coordinate (-1,4) is the labeled red spot. The blue line is the given equation. (You can see where it "intercepts the y-axis on the +3)   And the green line also has the -6 slope, but misses the point and intercepts the y-axis at 4.)    

I hope the diagram and explanation helps you understand better. It can be confusing.

Plz help with this question

Answers

Answer:

A

Step-by-step explanation:

Given

6 ([tex]\frac{x}{2}[/tex] + 4) ≥ 9 ( distribute the parenthesis by 6 )

3x + 24 ≥ 9 ( subtract 24 from both sides )

3x ≥ - 15 ( divide both sides by 3 )

x ≥ - 5 → A

Answer:

A

Step-by-step explanation:

First, divide both sides by 6:

6(x/2 + 4) ≥ 9

x/2 + 4 ≥ 9/6

x/2 + 4 ≥ 3/2

Now, subtract 4 from both sides:

x/2 ≥ 3/2 - 4

x/2 ≥ -5/2

Finally multiply both sides by 2:

x ≥ (-5/2) * 2

x ≥ -5

The answer is thus A.

~ an aesthetics lover

Write the equation in slope-intercept form of a line that is parallel to y= -8x - 2 and goes through the point (-1, 11)

Answers

Answer:

y=-8x+3

Step-by-step explanation:

Slope-intercept form means

[tex]y=mx+c[/tex]

To write the equation in this form we need two things firstly m which is the slope and secondly c which is the y-intercept.

Since the line is parallel to  [tex]y=-8x-2[/tex] as given in the equation and as we know that parallel lines have the same slope. So our new desired line that we need has a slope of -8 which is m. Now all we need is the y-intercept. For that we take the coordinate [tex](0,y)[/tex] because y-intercept means the line intersects the y-axis and if the line intersects the y-axis that specific point lies on the y-axis which is [tex](0,y)[/tex] so we put all the values in our desired equation and the coordinate that is also given to us [tex](-1,11)[/tex] because the line goes through this point it must lie on the line and hence we can use this point as well so now,

[tex]y=mx+c\\y=-8x+c\\11=-8(-1)+c\\11=8+c\\3=c[/tex]

so, the equation becomes,

[tex]y=-8x+3[/tex]

8+9 divided by 3 in algebraic expression

Answers

Answer:

(8 + 9) ÷ 3 = x

Step-by-step explanation:

You first need to add 8+9, so you put them in parenthesis for PEMDAS

Then you divide them by 3

Finally, you make the answer a variable as an algebraic expression involves variables and the answer is not given

Anyone wanna help?please

Answers

Answer:

x=14

Step-by-step explanation:

(8x-4)+(6x-12)=180

14x-16=180

14x=196

x=14

Evaluate the expression for x=5, y=-3 and z=7 *
7 – 3y – 3z

Answers

Answer:

-5

Step-by-step explanation:

i tried my best but this is the result

Suppose SAT Writing score are normally distributed a mean of 497 and a standard deviation of 114. A university plans to admit students whose scores are in the top 30% . What is the minimum score required for admission? Round your answer to the nearest whole number.

Answers

Answer:

The minimum score required for admission to the nearest whole number = 557

Step-by-step explanation:

We solve this using z score formula.

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Top 30% of the candidates is a ranking that is equivalent to = 100 - 30% = 70th percentile.

The z score of 70th percentile = 0.524

Mean = 497

Standard deviation of 114.

Minimum score = raw score = ???

Hence:

0.524 = x - 497/114

Cross Multiply

0.524 × 114 = x - 497

59.736 = x - 497

x = 59.736 + 497

x = 556.736

The minimum score required for admission to the nearest whole number = 557

A sample of 100 mg of cobalt is studied over time. After 1 year, the sample was measured at 97.5 mg. If the size of the sample continues to change at the same rate, which equation models the change?

Answers

Answer: B

Step-by-step explanation: The answer is B

Answer:

B

Step-by-step explanation:

write a real world problem that can be solved using the distributive property

Answers

Answer:

10 + 2. 3(10 + 2) = ? something like that I think .

Step-by-step explanation:

A bird leaves it's nest and travels 15 miles per hour downwind for x hours. On the return trip, the bird travels 3 miles per hour slower and has 2 miles left after x hours. A. What is the distance of the entire trip? ___ Miles B. How long does the entire trip take? __hours ___minutes and ___ seconds

Answers

Answer:

Step-by-step explanation:

Distance = Speed * time

If a bird leaves it's nest and travels 15 miles per hour downwind for x hours, the distance covered will be:

D = 15x

x = D/15 ....... 1

If on the return trip, the bird travels 3 miles per hour slower and has 2 miles left after x hours

Her speed = 15 - 3 = 12mi/hour

If she has 2 miles left after x hours, new distance will be D-2, using the formula for distance:

D+2 = 12x

x = D-2/12  ....... 2

Equate 1 and 2:

D/15 = D-2/12

Cross multiply

12D = 15(D-2)

12D = 15D - 30

12D-15D = -30

-3D = -30

D = 10 miles

The distance for the entire trip will be D + (D-2) = 10 + (10-2)

= 10 + 8

= 18 miles

To get the time x, we will substitute D = 10 into equation1

D = 15x

10 = 15x

x = 10/15

To minutes

x = 10/15 * 60

x = 40 minutes

For the going trip

Time taken = x hours

Return trip = x hours

Total time for the entire trip = x+x = 2x

= 2(40)

= 80 minutes

Hence the total time taken for the entire trio will be 1 hour 20minutes

What is the slope of a line perpendicular to the line whose equation is
12x – 9y = 135. Fully reduce your answer.

Answers

Answer:

The slope is -9/12

Step-by-step explanation:

First find the slope of the given line:

12x - 9y = 135 → -9y = -12x + 135 → y = 12/9 - 15

The perpendicular slope is a slope that is the reciprocal and is the opposite charge of the given slope.

So the answer would be -9/12, which is 12/9 but flipped upside down and is negative.

Priya, and Jibran take 1 hour and 10 minutes working together to deliver all newspapers on their route. Priya, when working alone, can finish the delivery route 5 minutes faster than Jibran. How many minutes does it take each person to complete the route if they worked alone

Answers

Answer:

Priya takes 32 minutes and 30 seconds to complete the route and Jibran takes 37 minutes and 30 seconds to complete the route.

Step-by-step explanation:

We have that Priya (P) and Jibran (J) take 1 h + 10 min working together:

[tex] P + J = 60min + 10min = 70 min [/tex]    (1)

Also, Priya can finish the delivery 5 minutes faster than Jibran:

[tex] P = J - 5 [/tex]    (2)  

By entering equation (2) into (1) we have:

[tex] (J - 5) + J = 70 min [/tex]

[tex] 2J = 75 min [/tex]

[tex] J = 37.5 min = 37 min + 30 s [/tex]

Hence, Jibran takes 37 minutes and 30 seconds to complete the route.

Now, by entering J into equation (2):

[tex] P = 37 min + 30 s - 5 min = 32 min + 30s [/tex]

Therefore, Priya takes 32 minutes and 30 seconds to complete the route.

I hope it helps you!      

Answer:

Priya takes 32 minutes and 30 seconds to complete the route and Jibran takes 37 minutes and 30 seconds to complete the route.

Step-by-step explanation:

which graphs represent functions?? please help me

Answers

Answer:

graph D

Step-by-step explanation:

If you want to figure out if a graph is a function, try the vertical line test

The vertical line test is when you are able to draw a vertical line on any point of the graph, and the line you have drawn will only pass through the graph once. if it passes the graph more than one time, it is not a function

Denise buys a $100,000 condo using a $20,000
down payment on a 30-year fixed-rate loan.
After 5 years of payments, she's made
approximately $24,000 in payments and still
owes approximately $75,000. How much
equity does Denise have in her house? *

Answers

$25,000 because she still owes $75,000.

Given the point (1, 2) and a slope of 4, write the equation in point slope form.

Answers

Answer:

y - 2 = 4(x - 1)

Step-by-step explanation:

Use point slope form, y - y1 = m(x - x1), where m is the slope:

Plug in the slope and the given point:

y - y1 = m(x - x1)

y - 2 = 4(x - 1)

So, the equation in point slope form is y - 2 = 4(x - 1)

8p+5=-6p+1 what's the answer to this equation?​

Answers

Answer:

-2/7

Step-by-step explanation:

Which one?
A. B. C. or D? ​

Answers

Answer:

b

Step-by-step explanation:

because b sounds like it lol

What is the y-intercept if the line?
A. 0
B. -2
C. 1
D. 1/2

Answers

Answer:

A.

Step-by-step explanation:

The Y-Intercept of a line is the point where a line's graph intersects (crosses) the Y-axis. ... A y-intercept of -4 means that the graph of a line crosses the Y-axis at the point (0,-4).

A the y intercept always starts with 0


10. Separate the number 38 into two parts so
that one number is 6 less than the other
number

Answers

Answer:

16, 22

Step-by-step explanation:

x+x+6=38

2x+6=38

2x=32

x=16

One number is 16, Another number is 22

16+22=38

22-16=6

Krego earns $2,456.75 every month. He also earns an extra $4.75 every time he sells a new gym membership. Last month, Krego sold 32 new gym memberships. How much money did Krego earn last month? Round to the nearest penny when necessary.

Answers

Answer:

$2600.75

Step-by-step explanation:

let us first model the total amount he makes

say the number of sales made us x

let the total made be y

y=2456.75+4.5x

given that the amount of sales is 32

let us put x=32 in the expression to get the total amount

y=2456.75+4.5(32)

y=2456.75+144

y=2600.75

therefore if he sale 32 new gym membership he will make $2600.75

what is the answer if u do x=25(x+4)

Answers

Answer:

-25 over 6 as a fraction or -4 and 1 over 6 as simplified fraction or 4.16 as a decimal

Step-by-step explanation:

hopefully that helps you

14. Using 1 inch = 15 feet as the scale factor, what are the blueprint dimensions of a room in a model house that is actually 30 feet x 45 feet?

O2 in x 3 in.
O 3 in 2 in
O2 in x 2 in
O 3 in x 2 in​

Answers

2 in x 3 in; you divide 30 and 45 by 15 and get 2 and 3.

Which is a incorrect rounding of 53.864?
A) 54
B) 53.9
C) 53.87
D) 50

Answers

The answer to this, is A

The solution is Option C.

The incorrect rounding of the number 53.864 is 53.87

What is rounding up numbers?

There are basically two rules while rounding up numbers

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

Non-zero digits are always significant

Zeros between non-zero digits are always significant

Leading zeros are never significant

Trailing zeros are only significant if the number contains a decimal point

Given data ,

Let the number be represented as A

Now , the value of A is

A = 53.864

Now , on rounding the number A to the nearest , we get

Step 1 :

If we round the number to the nearest integer, the number is 54

Step 2 :

If we round the number to the nearest tenth, the number is 53.9

Step 3 :

If we round the number to the nearest hundredth, the number is 53.86

So , the number 53.87 is not true

Step 4 :

If we round to the nearest tens, the number is 50

Hence , the only incorrect rounding is 53.87

To learn more about rounding up of numbers click :

https://brainly.com/question/4896544

#SPJ5

Which table represents a function?

Answers

Answer:

The table that starts with (-3, -1)

Step-by-step explanation:

For a table to represent a function the x value has to be different number. Such as, the other tables one has two -5, two -2, two -4 and etc. Do you get it

Answer: the first box

-3       -1

0         0

-2         -1

8          1

Step-by-step explanation:  the x value can not repet it self but the y value can

HELP ME ASAP BRO THIS IS DUED BY TONIGHT, LITERALLY ANYONE OUT THERE

SHOW THE WORK BRO PLEASEEEE

What is the value of x?

Answers

Answer:

14

Step-by-step explanation:

∠AOB is a straight angle, meaning that it is 180°.  Since ∠AOC, ∠COD, and ∠DOB are within ∠AOB, the sum of all of the angles is equal to 180°.

∠AOC + ∠COD + ∠DOB = ∠AOB

(5x) + (3x + 30) + (2x + 10) = 180

5x + 3x + 30 + 2x + 10 = 180

10x + 30 + 10 = 180

10x + 40 = 180

10x + 40 - 40 = 180 - 40

10x = 140

10x/10 = 140/10

x = 14

i need help plz help me

Answers

Answer:

3000g

hope this helps

Gigi makes a scale drawing of a patio. The drawing below shows the two scales she used to plan two patios of different sizes. Scale 1: 1 centimeter = 5 feet. Scale 2: 1 centimeter = 8 feet. A rectangle with length 7 centimeters and width 5 centimeters. Which shows the correct dimensions of the rectangle in both scales? Scale 1: 40 ft by 56 ft; Scale 2: 35 ft by 40 ft Scale 1: 56 ft by 25 ft; Scale 2: 35 ft by 40 ft Scale 1: 35 ft by 25 ft; Scale 2: 56 ft by 40 ft Scale 1: 56 ft by 40 ft; Scale 2: 35 ft by 25 ft

Answers

Answer:

Scale 1: 35ft by 25ft

Scale 2: 56ft by 40ft

Step-by-step explanation:

Given

Rectangle: 7cm by 5cm

Scale 1: 1cm = 5ft

Scale 2: 1cm = 8ft

Required

Determine the scale measurement

For Scale 1:

Actual Measurement

[tex]Length = 7cm[/tex]

[tex]Width = 5cm[/tex]

Scale 1: 1cm = 5ft

To calculate the scale measurement, we have to multiply the actual measurements by 5:

This gives:

[tex]Length = 7 * 5ft[/tex]

[tex]Length = 35ft[/tex]

[tex]Width = 5 * 5ft[/tex]

[tex]Width = 25ft[/tex]

So, the new measurement is 35ft by 25ft

For Scale 2:

Actual Measurement

[tex]Length = 7cm\\Width = 5cm[/tex]

Scale 2: 1cm = 8ft

To calculate the scale measurement, we have to multiply the actual measurements by 8:

Scale Measurement:

[tex]Length = 7 * 8ft[/tex]

[tex]Length = 56ft[/tex]

[tex]Width = 5 * 8ft[/tex]

[tex]Width = 40ft[/tex]

So, the new measurement is 56ft by 40ft

Answer:

c). Scale 1: 35 ft by 25 ft; Scale 2: 56 ft by 40 ft

Step-by-step explanation:


Does this represent a function?

Answers

Answer:

Yes

Step-by-step explanation:

Use the Vertical Line Test

Vertical Line Test: If a vertical line intersects a graph more than once, then the graph is not a function.

So if you draw a vertical line through that graph, it is only intersected once. Therefore, it is a function.

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