Equations and Inequalities: Tutorial
Each year, the junior class at East High School sells discount cards as a fundraiser. Each $20 discount card is valid for a year
and provides discounts at many area businesses.
This year's juniors are analyzing the revenue, or earnings, from past years and this year. If n represents the number of cards
that students sold last year, match each algebraic expression to what it represents.
Drag the tiles to the correct boxes. Not all tiles will be used.
Tiles
20n
n + 200
20n + 200
20(n + 200)
200n
Pairs
revenue from last year
number of cards sold this year if students sell 200 more cards than last year
revenue this year if students sell 200 more cards than last year

Answers

Answer 1

Answer: revenue from last year 20n

number of cards sold this year if students sell 200 more cards than last year n + 200

revenue this year if student sell 200 more cards than last year 20(n + 200)

Step-by-step explanation:

Answer 2

An expression is defined as a set of numbers, variables, and mathematical operations. The given pairs can be matched as shown below.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given that n represents the number of cards that students sold last year. Also, it is given that each card is sold for $20. Therefore, the given pairs can be matched as shown below.

1.) Revenue from last year

Revenue = Number of tickets sold last year × Cost of each ticket

               = n × $20

               = 20n

2.) Number of cards sold this year if students sell 200 more cards than last year

Number of cards sold this year = Number of tickets sold last year + 200

                                                    = n + 200

3.) Revenue this year if students sell 200 more cards than last year

Revenue this year = Number of cards sold this year × Cost of each ticket

                               = (n + 200) × 20

                               = 20(n+200)

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Related Questions

i need a lot of help and please help i need it

Answers

Answer- Give me the question and Ill help :)

[tex]\huge \dag \sf{Answer \: it}[/tex]​
[tex]{\huge{\underline{\small{\mathbb{\pink{REFER \ TO \ THE \ ATTACHMENT}}}}}}[/tex]
Note: Only For best users
Spammers stay away
Spams and Copy not allowed
Need explanation not only answer
Don't answer if you don't know

Thank You!​

Answers

Answer:

A. 8

Step-by-step explanation:

We are given the functions:

[tex]f(x)=\sqrt{x}\\\\g(x)=7x+b[/tex]

    We are told that on a standard (x, y) coordinate plane that y = f(g(x)) passes through the point (4, 6). In order to solve for b, we need to figure out what f(g(x)) is equal to.

    As with a regular function like the two above, f(g(x)) means you are substituting x with g(x) in function f. The problem gave us the two functions, so I will demonstrate what I mean.

[tex]f(g(x))=\sqrt{(7x+b)}[/tex]

    The problem again tells us that y = f(g(x)) goes through (4, 6). Substitute those values for their respective variables and solve for b.

[tex]y=f(g(x))\\\\y=\sqrt{(7x+b)}\\\\6=\sqrt{(7(4)+b)}\\\\6=\sqrt{(28+b)}\\\\(6)^2=(\sqrt{(28+b)})^2\\\\36=28+b\\\\36-28=28+b-28\\\\8=b[/tex]

Therefore, the value of b is equal to 8.

Reese’s sister earns $15 per hour. The store offers her a raise - a 6% increase per hour after a raise how much will Reese sister make per hour

Answers

Answer: $15.90/hr

Step-by-step explanation:

We need to add 6% to her $15/hr current pay.  This can be calculated with:

$15/hr *(1+0.06) = $15.90/hr

The "(1+0.06)" represents a) 1  the current salary, and b) the 6% raise.

How can you tell if you are finished solving a polynomial division problem?

Answers

The polynomial division problem can be concluded finished if; their is no remainder or the Divisor is larger than the remainder.

According to the question:

We are required to determine when a polynomial division problem is finished.

In polynomials, the division of a polynomial NY the Divisor gIves a quotient and a remainder.

Read more:

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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!7

Answers

Answer:

D, y+8=2(x_4)

Step-by-step explanation:

y=ax+by=2x+b_8=8+bb=_16
It’s D


Explanation: I did the work

Explain why the square root of a number or variable can be either positive or negative.

Answers

Answer:

Well, the answer is: it depends on what was printed in the problem. The principal square root symbol never has a negative output, so if the test maker printed that symbol, it’s restrictions have to be respected: all square roots then are positive.

Step-by-step explanation:

a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x. For example, 4 and −4 are square roots of 16, because 4² = (−4)² = 16. Every nonnegative real number x has a unique nonnegative square root, called the principal square root, which is denoted by √(x), where the symbol √( ) is called the radical sign or radix.

Answer/Step-by-step explanation:

The square root could be positive or negative because multiplying two negative numbers gives a positive number. The principal square root is the nonnegative number that when multiplied by itself equals a. The square root obtained using a calculator is the principal square root.


A backpacking club can average 2 1/2 miles per hour. At that
rate, how long will it take for a hike of 8 3/4 miles?

Answers

Answer:

3.5 hours

Step-by-step explanation:

8.75/2.5=3.5

Answer:

3.5 miles

Step-by-step explanation:

can someone please help me i’m not doing so well in this new topic

Answers

Answer:

m<H= 80*

m<P= 80*

m<I= 33*

M<Q= 33*

M<J=67*

M<R=67*

Step-by-step explanation:

Given States that ️ HIJ = ️ PQR

<H=<P

2x=x+40

2x-x=x-x+40

x=40

<I=<Q

<J=<R

ALL TRIANGLES MEASURE 180*

Y= the measure of <R and <J

2x+33+y=180

2(40)+33+y=180

80+33+y=180

113+y=180

113-113+y=180-113

y=67

Answer:

See answer below

Step-by-step explanation:

If ΔHIJ ≅ ΔPQR ,then you know six  congruent parts:

 ∠H ≅ ∠P ; ∠I ≅ ∠Q;  ∠J ≅ ∠R    and HI ≅ PQ; HJ ≅ PQ ; IJ ≅ QR

   ∠H ≅ ∠P         ∠I ≅ ∠Q

2x = x + 40°          ∠I = 35°

x = 40°

So ∠H = 2x = 2(40) = 80°                        Δ HIJ = 180°

    ∠P = x + 40 = 40 + 40 = 80°               ∠H + ∠I  + ∠J = 180°

    ∠Q = 35°                                                  80° + 35° + ∠J = 180°

    ∠ I = 35°                                                   115° + ∠J = 180°

    ∠ J = 65°                                                          ∠J = 65°

    ∠R = 65°                                                      ∠J ≅ ∠R

You bought 4 hamburgers you gave a cashier $50 bill and get $22 change how much was each hamburger

Answers

Answer:

$7

Step-by-step explanation: Five step plan

1. How much is each hamburger?

Variables

Price paid : $50

Change: $22

No. of hamburgers: 4

2. Price for all hamburgers. 50-22 = 28

3. y(price of each hamburger) = 28/4

4. y = 7

5. The price of each hamburger is 7

What is f(-1)?

PLEASE HELP ASAP

Answers

Answer:

3

Step-by-step explanation:

so we know that this question is asking for the y value when x is equal to -1, so according to the graph its 3

The number 43.9 is 24% of x. What is the value of x rounded to the nearest whole number?

Answers

Answer:

183

Step-by-step explanation:

percentage=actual/base

B=A/P

B=43.9/0.24

B= 182.9=183

The value of x rounded to the nearest whole number is 183.

What is Percentage?

In mathematics, a number or ratio that can be expressed as a fraction of 100 is known as a percentage. To find the % of a number, divide it by its value, then multiply the result by 100. Percentage is a relative value that denotes one tenth of any quantity. As one percent (symbolised as 1%) is equal to one tenth of anything, 100 percent stands for everything, while 200 percent refers to double the amount specified.

As per the given data:

Number = 43.9

The given number is 24% of x.

Percentage = (value / total) × 100

By substituting the given data:

24 = (43.9 / x) × 100

x = (4390/24)

x = 182.91

after rounding off to the nearest whole number

x = 183

Hence, the value of x rounded to the nearest whole number is 183.

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Can you help me with my work select the best estimate of the product of 18*31 =

Answers

18 could round to 20
31 could round to 30
30 x 20 would be 600

Pretty sure that’s your best estimate,
600

Mr pilgrim needs fencing for his turkey coop the perimeter is 240 yards the length is 16 yards longer than the width

Answers

Based on the information given, the length will be 68 yards while the value of the width will be 52 yards.

Width = wLength = w + 16

The calculation will go thus:

Perimeter = 2l + 2w

240 = 2(w + 16) + 2w

240 = 2w + 32 + 2w

240 = 4w + 32

4w = 240 - 32

4w = 208

w = 208/4 = 52

Therefore, the length will be:

= w + 16 = 52 + 16 = 68

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Determine whether the lines are parallel, perpendicular, or neither.
2x+y=6
y=1/2x−7

Answers

Answer:

Step-by-step explanation:

2x + y = 6

y = -2x + 6

Comparing this with y = 1/2x - 7

Multiplying the 2 slopes:

-2 * 1/2

= -2/2

= -1

- this means that the 2 lines are perpendicular.

Jacob was out at a restaurant for dinner when the bill came. His dinner came to $18. After adding in a tip, before tax, he paid $20.70. Find the percent tip.

Answers

Answer:

2.70$

Step-by-step explanation:

I need help with this

Answers

I think it’s b but I’m not sure

5 (m - 3) = 40
What do 5m and m represent?

(Quick Question I NEED REAL QUICK!)
(Thanks)

Answers

Solution:

[tex]5(m -3 ) = 40 \\ = > 5m - 15 = 40 \\ = > 5m = 40 + 15 \\ = > 5m = 55 \\ = > m = 11[/tex]

Therefore, m = 11

5m = 5 × 11 = 55

Answers

5m is 55, m is 11.

Hope it helps.

Do comment if you have any query.

Answer:

m=11

5m=55

Step-by-step explanation:

To find the answer to this question, isolate m. Do this by using the properties of equality.

First, distribute the 5 to the terms within the parentheses

5m-15=40

Then, add 15 to both sides

5m=55

Next, divide both sides by 5

m=11

This gives you the solution to both questions. If you want to check the answer, simply plug the variable back in. This gives you, 5(11-3)=40. Once solved this equals 40=40. Therefore, 11 is correct.

can anyone help. how to solve this plz. 58power4 -388​

Answers

Answer:

The answer is 11,316,108

Step-by-step explanation:

[tex]58^{4} - 388[/tex]

(58)(58)(58)(58) - 388

11,316,496 - 388

= 11,316,108

Find $\left(\frac{5}{7}\right)^{3}\left(\frac{4}{5}\right)^{3}$.
Can u answer this?

Answers

~fractions

[tex] \large \tt( \frac{ 5 }{ 7 } ) ^ { 3 } ( \frac{ 4 }{ 5 } ) ^ { 3 }[/tex]

[tex] \large \tt = \frac{125}{343}\times \left(\frac{64}{125}\right) [/tex]

[tex] \large \tt = \frac{125\times 64}{343\times 125} [/tex]

[tex] \large \tt = \boxed{\frac{64}{343} } \: ✓[/tex]

~ nice to help you ^^

can somebody tell me if these answers are correct?​

Answers

I think the a is right
I would handle b) like this: 8.50:12~0,7
1,55-0.7=$0,85

6-5/8=



(5/8 is just like that but slanted)

Answers

Answer:

43/8 or 5 and 3/8

Step-by-step explanation:

This is because if you find the lcd, its 24. 36/6, or 6, in 24 is 144/24.

5/8 is 15/24.

144/24-15/24 is 129/144, which simplified is 43/8, or 5 and 3/8

Can someone please help me please!!

Answers

Answer:

137 i am sorry if incorrect

Step-by-step explanation:

giving brainliest to the correct answer

does pineapple belong on pizza
yes or no
if both say yes or no, no ones getting brainliest

Answers

yes it does belong on pizza

help with this question

Answers

Answer:

rate of change from 8 to 32

Step-by-step explanation:

what´s the answer to this?

Answers

Step-by-step explanation:

it is a linear function, if the increases in y are constant from point (ordered pair of x and y) to point reissue to the increase in x.

the first table (top left) increases x constantly by 1.

but y increases first by 2 and then by 3 and then again by 3.

this is not constant, so it does not follow the pattern of x.

in technical terms : the slope of the function is not the same for every point of the function.

in other words : it is not a straight line all the way.

so, it is not a linear function.

the second table (top right) increases x constantly by 2.

and y increases constantly by 2.

this is constant also in relation to x.

in technical terms : the slope of the function is the same for every point of the function.

in other words : it is a straight line all the way.

so, it is a linear function.

the third table (bottom left) increases x constantly by 1.

but y increases first by 4 and then by 1 and then again by 1.

this is not constant, so it does not follow the pattern of x.

in technical terms : the slope of the function is not the same for every point of the function.

in other words : it is not a straight line all the way.

so, it is not a linear function.

the fourth table (bottom right) increases x constantly by 2.

but y increases first by 2 and then by 3 and then again by 3.

this is not constant, so it does not follow the pattern of x.

in technical terms : the slope of the function is not the same for every point of the function.

in other words : it is not a straight line all the way.

so, it is not a linear function.

Profit of ₹50 Height of 60 cm above the sea 50 km towards south Deposit of ₹1,000 30 m below the sea level A rise in temperature by 15° C​

Answers

Answer:

1. Loss ₹50

2. - 60

3. 50 km towards North

4. 1000

5. - 30

6. - 15° C

Answer and explain every step of your solution.

Answers

Answer:

min: (-2;-6) & (1; 3/4); max: (0;2).

Step-by-step explanation:

1) f`(x)=3x³+3x²-6x;

2) f`(x)=0, ⇒ 3x³+3x²-6x=0;

3) 3x³+3x²-6x=0; ⇒ x(x²+x-2)=0; ⇒ x(x-1)(x+2)=0; ⇒ x₁=0; x₂=1; x₃=-2;

other steps are provided in the attachment.

On his bike, Jason can travel 8 miles in 50 minutes.
At this rate, how far can Jason travel in 150 minutes.

Answers

Answer:

24 miles

Step-by-step explanation:

50 minutes = 8 miles

100 miles = 16 miles

150 minutes = 24 miles

Answer:

Jason can travel 24 miles in 150 minutes.

Step-by-step explanation:

8= miles. 50&150= mins

8=50.

Your trying to find how many miles Jason can travel in 150 mins. So your going to divide the new amount of minutes to the old amount.

150÷50= 3.

So since 50 can go into 150 3 full times that means you will multiply the original amount of miles by 3 to get your new amount.

3×8= 24

So, if Jason can travel 8 miles in 50 mins (8=50) Then, he can travel 24 miles in 150 mins (24=150)

Hope this wasn't too confusing,

Hope this helps!

How many pounds are in the truck total........!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!⇒

Answers

Answer:

1500-8000

Step-by-step explanation:

It depends what type of truck and what its carrying

Five years ago, a father was 3 times as old
as his son, now their combined ages amount
to 110 years. How old are they?

Answers

Answer:

Father is 80 years old and the son is 30

Step-by-step explanation:

Let father be x and son be y:

x-5 = 3(y-5)

x = 3y-10 ------ eq1

x+y = 110

x = 110 -y -------- eq2

Now if we combine the 2 equations we get:

3y + y = 110+10

y=30 (sons age)

Substituting in equation 2 we get:

x = 110 - 30

x = 80

Therefore, the fathers age is 80 and the sons age is 30.

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