At a birthday party pizzas and sodas were purchased for the kids. The number of sodas bought was two more than three times the number of pizzas. Pizzas cost $9.50 each and sodas cost $1.25 each. (c) A total of $68.75 was spent on pizza and sodas at the party. Let n be the number of pizzas purchased. Set up an equation involving n that models the scenario. Solve it and state both the number of pizzas and the number of sodas that were bought.

Answers

Answer 1

Answer:

5 pizzas and 17 sodas were bought

Step-by-step explanation:

Here, we want to get the number of pizza and sodas bought

Let n be the number of pizzas bought

we are told that the number of sodas bought was 2 more than 3 times the number of pizzas

So the number of sodas will be;

3n + 2

So let’s have the equations based on the prices;

pizzas cost $9.50, soda cost $1.25

Thus;

9.5n + 1.25(3n + 2) = 68.75

9.5n + 3.75n + 2.5 = 68.75

13.25n = 68.75 - 2.5

13.25n = 66.25

n = 66.25/13.25

n = 5

Number of pizzas bought is 5

number of soda is 3n + 2 = 3(5) + 2 = 15 + 2 = 17


Related Questions


Item 1
Order the numbers from least to greatest.

−3/4, 0.5, 2/3,−7/3, 1.2

Answers

Answer:

-7/3, -3/4, .5, 2/3, 1.2

Step-by-step explanation:

negatives are always the least number

Answer:

-7/3, -3/4, 0.5, 2/3, 1.2

Hope this helps! Sorry if it's wrong!

What is the equation for this line ?

Answers

Answer:

[tex]y = -\frac{1}{3}x + 5[/tex]

Step-by-step explanation:

y = mx + b

Let's start with where the line crosses the y axis.  We can see it crosses at 5.

So b = 5.

Let's try another point to figure out m, (3,4).

4 = 3m + 5

3m = -1

m = [tex]-\frac{1}{3}[/tex]

Answer:

y=-1/3+5

Step-by-step explanation:

since the line is going downhill, the slope would be negative (the slope is the number with the x attached). The slope is 3 over and 1 down. You would write it as rise over run, so it would be a -1/3. The line hits the y axis at 5, so the b (y=mx+b is the slope equation) would be 5.

Why does the government issue only bonds, while companies issue both stocks and bonds?
a. The US government does not involve itself in the stock market because it does not want to risk
losing money if there should ever be a crash in the stock market.
Because the stock market is used as a form of gambling, the government refuses to associated
itself with the stock market as a way to discourage gambling.
Stock in a company gives the holder part-ownership of the company, with voting rights on big
decisions, and profits when the value goes up. The people already vote on happenings in the
government and inherently have ownership of the government.
d. A stock is a part ownership in a company, and the leaders of the government won't have the people owning the government.

Answers

Answer:

the answer is C

Step-by-step explanation:

Hence, option (C) is the correct answer.

What is a stock market?

The term stock market refers to several exchanges in which shares of publicly held companies are bought and sold.

Such financial activities are conducted through formal exchanges and via over-the-counter (OTC) marketplaces that operate under a defined set of regulations.

Stock in a company gives the holder part-ownership of the company, with voting rights on big decisions, and profits when the value goes up.

Hence, option (C) is the correct answer.

To know more about the stock market

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It’s drag and drop please help

Answers

the first one is 4n+7=15, the second one is 1/4(n-15), the third one is 1/4n-15, the fourth one is n/7=4, and the last one is n4+7=15

Answer:

seven more than four times a number is fifteen -    4n+7=15

one-fourth the difference of a number and 15 -      1/4 (n-15)

one fourth a number decreased by 15 -      1-4 n - 15

the quotient of a number and seven is four -    n divided by 7 = 4

a number raised to the power of four increased by 7 is 15 -   n to the power of 4 - 7=15

Step-by-step explanation:

Justin wants to make a necklace with 72 beads. He knows that 12 beads
take up 4 inches of string, but the store only sells string by the centimeter.
How many centimeters should he buy? Explain. (Hint: 1inch = 2.54 cm) *

Answers

Answer: 60.96 cm

12 beads take up 4 inches

72/12 = 6

Hence, 72 beads take up 4 * 6 inches

72 beads take up 24 inches

24 inches = 24 * 2.54

24 inches = 60.96

Answer:

60.96cm

Step-by-step explanation:

So if 12 beads=4 inches

        72 beads=72 beads*4 inch

                            12 beads

That will give you 24inches. inch-cm multiply by 2.54cm

=60.96cm of rope

I’m really struggling would really appreciate if someone could help!!!!!

Answers

9514 1404 393

Answer:

  A)  29/40

Step-by-step explanation:

The formula for this is ...

  P(A or B) = P(A) + P(B) - P(A and B)

Filling in the given values, you have ...

  P(A or B) = 9/20 +1/2 - 9/40

  P(A or B) = 18/40 +20/40 -9/40 = (18+20-9)/40

  P(A or B) = 29/40 . . . . matches choice A

As a fundraiser, the Robotics team is selling cookies. The cost to make each cookie can be written as c(x)=0.25x+0.5 and the functions that represents the amount they sell the cookie for can be written as s(x)=2x. Write a function represents the profit, P(x)

Answers

Answer:

The profit is 1.75x-0.5

Step-by-step explanation:

Mathematically,

profit = sales - cost

So with respect to this case, we have that;

Profit = s(x) - c(x)

Profit = 2x - (0.25x + 0.5)

Profit = 2x - 0.25x -0.5

Profit = 1.75x - 0.5

What is the length of a segment with endpoints at (-3,4) and (4,4)

Answers

Answer:

The length is 8

Step-by-step explanation:

how do you fing the missing angle from a triangle​

Answers

Answer

Law of Sines

Step-by-step explanation:

If you have all three side lengths, you can use law of sines.

side length a/sin of angle a=side length b/sin of angle b=side length c/sin of angle c

not sure if that makes sense but look up the law of sines!

-x + 1 = x + 21

solve for x


I need this asap​

Answers

Answer:

x = -10

Step-by-step explanation:

-x + 1 = x + 21

(given)

__________

-x + 1 = x + 21

+x +x

(addition property of equality)

(add the x term on both sides to cancel out -x)

__________

1 = 2x + 21

-21 -21

(subtraction property of equality)

(subtract by 21 on both sides to get rid of the constant term on the x side)

________

-20 = 2x

÷2 ÷2

(division property of equality)

(divide to get rid of the coefficient of 2 in the x term)

_______

-10 = x

(symmetric property of equality)

(switch both sides so that x is on the left)

_______

x = -10

________________________________

Proof by substitution:

x = -10 because

x = -10 → -x + 1 = x + 21 → -(x) + 1 = (x) + 21 → -(-10) + 1 = (-10) + 21 → 10 + 1 = 21 - 10 →

11 = 11

Answer:

x=10

Step-by-step explanation:

Put both of the x on one side, and the numbers on the other side (this breaks down the equation).

This is make it easier for you to add/substract/divide/multiply.

The Patel family went apple picking. The number of red apples they picked was 2 __ 2 9 times the number of green apples they picked. If they picked 45 green apples, how many red apples did they pick?

Answers

Answer:

100

I first made 45 a fraction = 45/1

Then i made 2 2/9 into an improper fraction

then make my equation

45/1 ×20/9=100

answer is 100 red apples

Step-by-step explanation:

The sum of two numbers is 29 The difference is 9 Find the numbers

Answers

Answer:

19 and 10

Step-by-step explanation:

please mark brainliest :))

Simone makes $7.75 for every hour she works at the bakery. If she wants to make $93, how many hours will she need to work?

Answers

Simone makes 7.75x
93 = 7.75x
Divide by 7.75
She needs to work at least 12 hours

can Someone help me ​

Answers

Answer:

B

Step-by-step explanation:

Can u guys help with this​

Answers

Answer:

Turkey Trot

Pumpkin Pie

Family Dinner

Mashed Potatoes

Football

Wish bone

Carve the Turkey

Green Beans

Cornucopia

Black Friday Shopping

Thanks Giving

Table Clothes

November

Drumsticks

Thanksgiving Parade band

Please Consider Brainliest! Hope I helped!

I need to know 9 and 10

Answers

Answer:

x=36°

y=144°

Step-by-step explanation:

y is the corresponding angle of angle 144° and since corresponding angles are always congruent y=144°

x is the same side interior angle of angle 144° and since same side interior angles are also supplementary angles that add up to 180° x=36°

180°-144°=36°

hopefully this helps :)

Write the unit rate for distance per 1 hour. I will choose branliest

Answers

The unit rate is 470

What is the equation of the line that passes through the point (-6,3) and has a slope of -2/3

Answers

Answer:

The answer is y=-2/3x-1

Step-by-step explanation:

y-y=m(x-x1)

y-3=-2/3(x-(-6))

y-3=-2/3x-4

+3 +3

y=-2/3x-1

use the distributive property to expand this equation please2/3 (18x + 6z)

Answers

Answer:

12x + 4z

Step-by-step explanation:

Given: 2/3 (18x + 6z)

Multiply the fraction 2/3 into each term

([tex]\frac{2}{3}[/tex])*18x + ([tex]\frac{2}{3}[/tex])*6z

[tex]\frac{36}{3}[/tex]x + [tex]\frac{12}{3}[/tex]z

12x + 4z

Can somebody please help me solve problem 16 .

Answers

Answer:

i think it`s $35

Step-by-step explanation:

Because 80 divided by 2 = 40 and the problem says to subtract 5 so I believe the answer is $35.

Solve the equation 5.4g + 4 = 1.4g +20.
a. Find the value of g.
b. Explain how you can check that the value you found for g is correct. If your check does not work,
does that mean that your result is incorrect? Explain.
a. g=1

Answers

a. g=4
b. first you're going to subtract 1.4g from both sides;
5.4g + 4 - 1.4g = 1.4g + 20 - 1.4g
then simplify it;
4g+4=20
then, you'll subtract 4 from both sides;
4g + 4 - 4 = 20 - 4
then simplify again;
4g=16
lastly, you will divide 4 from both sides;
4g/4 = 16/4
since 16/4=4, then g=4

3. Given A(3,5), B(7, 10), C(0, 2), and D(1, a),
determine the value of a for which:
a) Line AB is parallel to line CD.
b) Line AB is perpendicular to line CD.
please help!! 15 points! and marked brainliest

Answers

Answer:

Step-by-step explanation:

a. a=4

b. a=3

hope this helps

Identify the angles that each have a measure of 88

Answers

Answer: 86 and 4

Step-by-step explanation:

Hopefully this is the right answer!

Answer:

the answer for this question above is 1

Step-by-step explanation:

URGENT PLEASE I AM TIMED URGENT SOLVE THE PROBLEM AND PLEASE, PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER, GIVE DETAIL'S I WILL MARK AND 5 STARS

Answers

A recipe that makes 10 raspberry muffins calls for 1 1/4 teaspoon of baking powder
1.25/10=t/10 muffins
How much baking powder is needed to make 3 dozen
1.25/10=x/36
x=4.5 t for 36 muffins hope this helps <3

Answer:

x =  4[tex]\frac{1}{2}[/tex] teaspoons of baking powder

Step-by-step explanation:

I will use ratio, so for every 10 muffins we need 1[tex]\frac{1}{4}[/tex] or [tex]\frac{5}{4}[/tex]  teaspoons of baking powder.  How much would we need for 3 dozens or 36 muffins?

Set up the ratio in fractions

[tex]\frac{10}{\frac{5}{4}}[/tex] = [tex]\frac{36}{x}[/tex]; where x is the teaspoons of baking powder

solve for x

x =(36*[tex]\frac{5}{4}[/tex]) / 10

x = (45)/10 = 4[tex]\frac{5}{10}[/tex] = 4[tex]\frac{1}{2}[/tex] teaspoons of baking powder

The force f of an object is calculated by multiplying its mass m with acceleration a. Rearrange the formula f = ma to make mass m the subject.

Answers

the answer is: m=f/a. use reverse operations so that m is now the subject

How do you factor 3х2-8x?

Answers

Answer: 6-8x

Step-by-step explanation:

Identify three solutions of the inequality x < 1

Answers

Answer:

-1, -2, -3

Step-by-step explanation:

any number less than 1 will work

Answer:

-3, -4,-5

Step-by-step explanation:

< means less than. In this situation, you want x to be less than 1, so basically, any number under 1 is correct.

She visited Creepy Cavern at (-2, 5), Bernie's Barn at (-3, 2), Sweet Symphonies at (-3, -1), Rock and Roll Hall at (-2, -4), Whimsical Wonders at (3, -4), Mystery Mansion at (3, 2), and Star Gazing Point at (5, 5). Which of these pairs of places are more than 6 units from one another?

Answers

Answer:

We need to find the distance between the pairs of points to know which is greater than 6units. To do that we make use of this formula:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Where [tex](x_1 , y_1)[/tex] and [tex](x_2 , y_2)[/tex] are two points on the line.

Let us denote Creepy Carven with CC, Bernie Barn as BB, Sweet Symphonies as SS, Rock and Roll Hall as RR, Whimsical Wonders as WW, Mysterial Mansion as MM and Star Grazing point as SG.

The distance between CC (-2, 5) and BB(-3, 2) using that formula will be:

[tex]d = \sqrt{(-3 + 2 )^2 + (2 - 5)^2}[/tex]

Which is [tex]d = \sqrt{(-1 )^2 + (-3)^2}[/tex]

That gives

[tex]d = \sqrt{10} < 6[/tex]

If we do this for BB to SS we have our value greater than 6, SS to RR our value greater than 6, RR to WW greater than 6, WW to MM is equal to 6 and MM to SG is less than 6.

From here we conclude that the pairs of places greater than 6 is:

BB to SS

SS to RR

RR to WW

WW to MM

Answer:

First, plot each of the points and label them.

Determine the distance between the pairs of places listed in each answer choice.

Since Whimsical Wonders and Rock and Roll Hall lie on the same horizontal line, the distance between the two points is the absolute value of the difference of the x-coordinates.

Using this same process, the distance between Bernie's Barn and Mystery Mansion is 6 units, and the distance between Creepy Cavern and Star Gazing Point is 7 units.

Since the Mystery Mansion and Whimsical Wonders lie on the same vertical line, the distance between the two points is the absolute value of the difference of the y-coordinates.

Using this same process, the distance between Rock and Roll Hall and Creepy Cavern is 9 units, and the distance between Sweet Symphonies and Bernie's Barn is 3 units.

Therefore, the pairs of places that are more than 6 units from one another are Creepy Cavern and Star Gazing Point and Rock and Roll Hall and Creepy Cavern.

Step-by-step explanation:

In Josie's garden, the ratio of zinnias to petunias is 5:3. Which sentence correctly describes the ratio? A For every 5 zinnias, there are 3 petunias. B For every 3 zinnias, there are 5 petunias. C For every 8 petunias, there are 5 zinnias. D There are 35 as many zinnias as petunias.

Answers

Answer: A For every 5 zinnias, there are 3 petunias.

Step-by-step explanation:

STEP 1

A ratio  compares the value of one thing and another thing  in the same unit by expressing how many times  a number of items are contained in another comparing item . it is usually expressed using the  colon : as in a: b or "to" as in a to b.

STEP 2

in Josie's garden, the ratio of zinnias to petunias is 5:3.

Here, the ratio 5:3 compares and  expresses how many times the number of petunias are contained in the number of zinnias.

which means that For every 5 zinnias, there are 3 petunias.

Write the ratio 150:450 in the form 1:n

Answers

Answer:

1 : 3

Step-by-step explanation:

Given

150 : 450 ( divide both parts by 150 )

= 1 : 3

The ratio 150:450 in the form 1:n will be 1 : 3.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given ratio, 150:450

150/450 = 15/45 = 1/3 = 1:3

Hence "The ratio 150:450 in the form 1:n will be 1 : 3".

For more information about ratios and proportions,

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Other Questions
How did the conflict between countries affect trade along the Silk Road?It decreased trade because soldiers no longer protected the oases.It increased trade because there was a great need to buy weapons.It decreased trade because countries at war do not buy or trade goods.It did not affect trade because the fighting did not take place on the route. pls help fast Section I: Experimental OverviewUse your answers from questions 13 as the basis for the first section of your lab report. This section provides your reader with background information about why you conducted this experiment and how it was completed. Outline the steps of the procedure in full sentences. It also provides potential answers (your hypothesis/es) relative to what you expected the experiment to demonstrate. This section should be 13 paragraphs in length.Section II: Data and ObservationsUse your answers from questions 45 as the basis for the second section of your lab report. This section provides your reader with the data from the experiment, in a summarized and concise way. No paragraphs are required for this section, but you do need to include the key data and observations from which you will generate your analysis and discussion. This section is objective.Section III: Analysis and DiscussionUse your answers from questions 68 as the basis for the third section of your lab report. This section provides your reader with your interpretation of the data set. You will also give an example of any calculations or formulas you used to analyze your data. Also, you will want to include any graphs that you made and interpret them for the reader.If you did construct graphs, your Student Guide included information on which graphs to construct. Graphs should have the following:a. Appropriate titlesb. Appropriate labels for each axisc. Appropriate scales for each axisd. Correct units for the dataComplete a rough sketch of each graph. Explain in one or two sentences what trend the reader should observe in each of your graphs.Mention any problems, unusual or unexpected data, or other factors with the experiment here, and suggest possible causes. This section can be somewhat subjective, unlike Section II, because you are free to include your personal interpretations or even speculation if it adds constructive, reasonable insight to the discussion. This section is variable in length, and should likely be the longest part of your report.Section IV: ConclusionsUse your answers from questions 9-11 as the basis for the fourth section of your lab report. In this section you will summarize the outcome of the experiment, and discuss how the original hypothesis(es) was (were) either supported or refuted. Use logic and reason in explaining your statements, and be sure to refer to specific data from your experiment that supports your argument.This section also demonstrates your understanding of the experiment, through your ability to offer constructive criticism about its design and make suggestions for future experimentation. There are always ways that experiments can be improved. Now that you are a veteran of this experiment and have experience with the procedure, offer some advice to the next scientist about what you suggest and why.This section should be 12 paragraphs long.OverallWhen complete, the lab report should be read as a coherent whole. Make sure that you connect different pieces with relevant transitions. Review for proper grammar, spelling, punctuation, formatting, and other conventions of organization and good writing. Write the number of atoms and name of each element in each chemical formula. 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PLEASE HELP I WILL GIVE BRAINLIEST please please please help me \(f(x) = \left\{x + 4 x < 58 5 Which right did the states have under the Articles of Confederation?A. the right to elect individual representatives to the Continental CongressB. the right to wage war and make peaceC. the right to sign treaties with other governmentsD. the right to set up post offices Based on the diagram, which statement explains how energy is conserved during this chemical reaction? (A) is also gained by the surroundings. B. The potential energy changes indicated by C and B involve energy lost by the surroundings. C. The potential energy lost by the reaction system (C) is also lost by the surroundings. D. The potential energy lost by the reaction system (B) is gained by the surroundinas Debate Discussion: Marx believed that proletariat was better of as subsistence farmers, than as workers in the capitalist age. Do you agree? Why or Why not? Use 7-8 sentences to explain your answer an initial amount of $55,000 is invested in an account with interest compounded continuously the interest rate is 10% find the value of the account after 14 years A story's theme is:what happens in the storythe time and place the story happensthe main conflict of the storywhat the author tries to reveal to the reader about lifePls Answer IF YOU ANSWER I WILL GIVE YOU BRAINLIEST b. What does "brings joy to the hearts and ears"mean? According to the graph about ______of GDP was earned in trade in 1993. About_____of GDP was earned in trade in 2013. From 1998 to 2013, the percentage of GDP earned from trade ____. Please help me what is the name of the fast prime minister _____moves the head to proper track a. Seek b. Data transfer c. Rotate d. Settle