Dana saved 450 for food for her upcoming vacation. The breakfast was included with their hotel, but lunch and dinner are not. When Dana cooks lunch or dinner it costs on average 10 . When the family goes to a restaurant for lunch or dinner it costs on average 40 . Let c represent meals that Dana cooks and let r represent meals the family goes to restaurants for. Write an inequality to represent the situation.

Answers

Answer 1

Answer:

[tex]10d + 40r \leq 450[/tex]

Step-by-step explanation:

Given

[tex]Savings = 450[/tex]

[tex]Dana\ Cooks, d = 10[/tex]

[tex]Restaurant, r = 40[/tex]

Required

Represent this as an inequality

When Dana cooks;

[tex]Cost\ per\ meal = 10[/tex]

[tex]Cost\ per\ d\ meals = d * 10[/tex]

[tex]Cost\ per\ d\ meals = 10d[/tex]

At Restaurant

[tex]Cost\ per\ meal = 40[/tex]

[tex]Cost\ per\ r\ meals = 40 * r[/tex]

[tex]Cost\ per\ r\ meals = 40 r[/tex]

Add these two results:

[tex]Result = 10d + 40r[/tex]

To represent as an inequality, the above result must be less than or equal to Dana's total savings

i.e.

[tex]10d + 40r \leq 450[/tex]


Related Questions

A new computer is on sale for 1/5
off the original price. If the original price of the computer is $1495, what is the
sale price?
$1794
$1196
$1288
$299

Answers

Answer: $299

Step-by-step explanation:

divide the original price by 5

Sale price of the computer is equals to $299.

What is sale price?

" Sale price is defined as the discounted price at which goods are sold."

According to the question,

Original price of the computer = $1495

Price decided on sale of a computer = [tex](\frac{1}{5})[/tex] Original price of the computer

Substitute the value to get the sale price of a computer we get,

Sale price of a computer = [tex]\frac{1}{5} (1495)[/tex]

                                          = $299

Hence, sale price of the computer is equals to $299.

Learn more about sale price here

https://brainly.com/question/25101522

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If B is between A and C, and AB = x and BC = 12, and AC = 25, then find the value of AB.
AB = ?

Answers


AB=12 because it is half of it

solve integers -32+ 10

Answers

Answer:

-22

Step-by-step explanation:

You have to add -32+10

and you will get the answer -22

Answer:

-22

Step-by-step explanation:

On a number line, negative numbers go left and posative numbers go right. So on a numberline, if you find -32 and jump ten spaces to the right, you land on -22

i’m not sure if this is right??

Answers

Answer:

I think its right

Step-by-step explanation:

thats what I got too

Kathy read 296 pages of her 590−page novel in 10 days. How many pages per day must she now read in order to complete the book and return it within the library's 17−day deadline?

Answers

Answer:

The answer is 42 pages per day.

Step-by-step explanation:

The answer is 42 because 590 minus 296 equals 294 and since the deadline is 17 days and he has done 10 already then 294 divided by 7 equals 42.

125 is.a perfect square or perfect cube

Answers

Answer:

Perfect cube

Step-by-step explanation:

5 x 5 x5 = 125

5x5= 25

25x5 =125

Answer:

It is a perfect cube with sides of 5.

Step-by-step explanation:

If 125 was a perfect square, there would be a whole number A which, squared, would give us 125.

[tex]A^2 = 125\\A = \pm 11.18...[/tex]

We can see that the roots are not whole numbers.

(Tip: without a calculator, we can find this by testing [tex]10^2 \ 11^2\ 12^2[/tex] to see if any give us 125. We get 100, 121, 144 respectively. None of them is 125.)

If it was a perfect cube, there would be a whole number B which, cubed, would give us 125.

[tex]B^3 = 125\\B = \sqrt[3]{125} \\B = 5[/tex]

As we can see, there IS a whole number B: 5 !

(Without a calculator, like the previous one, we could try [tex]4^3\ 5^3\ 6^3[/tex] and we'd find that [tex]5^3[/tex] = 125)

Answer: It is a perfect cube with sides of 5.

Ms. Bailey is taking her children and their friends to the movies. She will pay $10 for her adult ticket and $6 for each child ticket. Ms. Bailey spends $46.00 at the movies. Write and solve an equation to determine the number of child tickets Ms. Bailey purchases.

Please include the Variable, Equation, and the Solution​

Answers

Answer:

Ms. Bailey purchases 6 children tickets

Step-by-step explanation:

x=number of adult tickets

y=number of children tickets

10x+6y=46

plug in what you know

10(1)+6y=46

10+6y=46

subtract 10 from both sides

6y=36

divide both sides by 6

y=6

6 children tickets

Find the complement of the set given that U = {x | x ∈ I and −3 ≤ x ≤ 7}. (Enter your answers as a comma-separated list.) {x | x ∈ W and x < 5}

Answers

Huh?? Can u attach a picture or some

HELP!! Need Help With My Homework!

Answers

Answer:

x + 4 = 9 + 2x - 15

Step-by-step explanation:

Since, E is between F and G.

Therefore,

FG = EF + EG

x + 4 = 9 + 2x - 15

x + 4 = 2x - 6

4 + 6 = 2x - x

10 = x

or

x = 10

The graph of a function must be linear if it has what characteristic?
It passes through the origin. It crosses the x-axis more than once.
It crosses the y-axis exactly once
It has a constant slope.

Answers

Answer:

  It has a constant slope.

Step-by-step explanation:

A linear function graphs as a straight line. It will have a constant rate of change.

It has a constant slope.

Answer:

D. It has a constant slope on Edg2020

Step-by-step explanation:

Hope this helps!!! Have a great day!!!

(2/3)^3(1/5•2/3)^-3(1/5)^4

PLS HELP

Answers

Answer:

1/5

Step-by-step explanation:

You have to do whats in the parentheses first then you start doing to exponets from left to right then you would multiply then you would get your answer 1/5.

8. John is in a club that collects annual dues. In the first year that he was a member, he paid $20 in club dues. However, the club dues increase by $2 each year. Identify the function that describes the relationship between the number of years that John has been a member of the club and the dues he pays that year.

options:
A. f(n) = 20 + 2(n – 2)
B. f(n) = 20 + 2(n + 1)
C. f(n) = 20 + 2(n – 1)
D. f(n) = 20 + 2n

Answers

Answer:  C) f(n) = 20 + 2(n - 1)

Step-by-step explanation:

The explicit formula is: [tex]a_n=a_1+d(n-1)[/tex]     where

[tex]a_1[/tex] is the first termd is the difference between consecutive terms

Given: In the first year he paid $20  --> [tex]a_1[/tex] = 20

          Dues increase $2 each year --> d = 2

[tex]a_n[/tex] = 20 + 2(n - 1)

Answer:

C  f(n) = 20 + 2(n – 1)

Step-by-step explanation:

got it right on test

Identify the domain and range of the function. Enter your answers as numbers in the boxes; do not include units. Enter the range values in ascending order separated by commas inside the curly brackets. Age Admission Price under 5 free 5-17 $25 18-64 $40 65 and over $35 What is the range?

Answers

Answer:

When we have a function y = f(x)

The set of the possible values of x is called the domain, and the set of the possible values of y is called the range.

In this case, we have:

x = age, and y =  price.

x                    y

< 5              $0

5 - 17          $25

18 - 64         $40

≥ 65            $35

Then the range is the possible age of the customer, and it goes for all the possible ages (as whole numbers)

So the domain will be the set of all the positive integers:

D = {1, 2, 3, 4, 5, ...}

(of course, we can not have an age equal to 1300 or infinity, but we really can not cap the domain)

The range is the possible values of y, in this case is discrete, because we have only 4 possible prices, so the range is:

R = {$0, $25, $40, $35}

Which display makes it easier to find that the interquartile range is 4 songs?
Choose 1 answer:
A
The dot plot
B
The box plot

Answers

Answer:

The box plot

Step-by-step explanation:

Divide 2.9 x 107 by 6.9 x 103 by using scientific notation. Round your answer to one decimal place in scientific notation with no spaces

Answers

I think it’s 85 if I’m wrong Im really sorry

(6 - 9)(-2) = 6(-2) - 9(-2) Group of answer choices True False

Answers

Answer:

False

Step-by-step explanation:

What is 40% of 50,000

Answers

Step-by-step explanation:

this is your answer...........

Solve each expression using the correct order of operations,
7- 5 + 3 x 10

Answers

Answer:

28 is your answer

Step-by-step explanation:

you start with multiplication and continue with addition and then go to subtraction

Answer:

32

Step-by-step explanation:

3×10 comes first because BIDMAS : brackets () indeces divide ÷ multiply× addition + subtraction -

So 30

7-5+30 = 32

3(2x² + 4x+6)

Helpppppp

Answers

Answer:

6x2+12x+18

Hope that helps :)

Step-by-step explanation:

Answer:

hey what are you doing i think is 6x2+12x+18

solve 9 = 4 + x ( show your work )

Answers

Answer:

x = 5

Step-by-step explanation:

1. 9 = 4 + x

2. 9 - 4 = 4 + x - 4

3. 5 = x

Find the perimeter of the square in the coordinate plane below. Round your answer to two decimal places.

Answers

Answer:

11.31 units

Step-by-step explanation:

Find the distance of line segments AB, BC, CD, AD using the distance formula.

3. A company makes a profit of $60 per software program and $45 per video game. The company can produce at most 300 software programs and at most 200 video games per week. Total production cannot exceed 400 items per week. How many items of each kind should be produced per week in order to maximize the profit? Use linear programming to solve. Show all your work. Answer:

Answers

Answer:

Step-by-step explanation:

This problem is a maximization problem

the objective is to maximize profit

let software program be x

and video program be y

the objective function is

60x+45y>P-------1

constrains

300x+200y<400------2

we can further reduce the expressions

3x+2y<4-----2

What’s the area of the walk?

A circular flower bed is 21 m in diameter & has a circular sidewalk around it 2 m wide. (Use pi as needed in answer)

Answers

Hint: 21x3.14x2x1/2 hope this helps

What type of number is 3π+1?

Answers

Answer:

irrational

Step-by-step explanation:

I hope it helped you!!

Answer:

10.42478

Step-by-step explanation:

what is 100000x 0

asdfssfddkddnssnbsbdbbdbbdbdbbdbbdbdbbbdvvddbdd. dbdbddbdbbbdbbd​

Answers

Anything multipled by 0 will always equal 0

e
rational
irrational

Answers

e is irrational (it cannot be expressed as the ratio of two integers).

hope this helps :)

Answer:

irrational

Step-by-step explanation:

Complete the expressions to find the perimeter P of a rectangle that is 7 inches long by 5 inches wide.
P21+2
-2.7+
20
15

Answers

Answer:

[tex] P = 2*7 + 2*5 [/tex]

[tex] P = 14 + 10 [/tex]

[tex] P = 24 inches [/tex]

Step-by-step explanation:

Lenght (l) of rectangle = 7 inches

Width (w) of rectangle = 5 inches

Perimeter (P) of rectangle is given as [tex] P = 2l + 2w [/tex]

Plug in the values of l and w into the formula:

[tex] P = 2*7 + 2*5 [/tex]

Multiply each

[tex] P = 14 + 10 [/tex]

Add together

[tex] P = 24 inches [/tex]

Can anyone help me with this?

Answers

Answer:

a

Step-by-step explanation:

Mr. Stewart bought a new battery for his car. The battery cost $72. Since batteries are a taxable item, he had to pay a sales tax of 7.5%. What was the total cost of the battery in dollars and cents?

Mr. Stewart spent $77.40 on his new car battery.

Answers

Answer: $77.40

Step-by-step explanation:

First you take the 7.5% and turn it into a decimal and to do that you have to divide 7.5 by 100 which gives you .075. You then multiply 72 by .075 to know how much money you will pay with tax and you get $5.40. then you add $5.40 to $72 to get the total coast of the battery, which is $77.40.

The total cost of the battery was $77.40.

The table shows the blood types of 75 donors after a one-day blood drive. Based on results, what is the chance that a random donor has type A blood? Blood Type A B AB Frequency 31 33 9 2 31 33 25 75

Answers

Answer:

33

Step-by-step explanation:

I am did my diagnostic too.

The required chance of that a random donor has type A blood is given as 11/25. Option B is correct.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Total blood donor = 31 + 33 + 9 + 2 = 75
Donors has type A blood = 33

Now, the chance that a random donor has type A blood,

= Donors has type A blood / Total blood donor

= 33 / 75
= 11 / 25

Thus, the required chance of that a random donor has type A blood is given as 11/25.

Learn more about probability here:

brainly.com/question/14290572

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