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:

n + s = $68.75

Step-by-step explanation:

Amount spent on pizza and soda = $68.75

Number of pizza = n

The soda = s

Then the total amount soe t can be modeled thus :

(number of pizzas + number of soda) = total amount spent

n + s = $68.75

If the price of each slice of pizza and unit of soda was given, we could have been able to calculate the amount spent on each of soda and pizza.


Related Questions

Write an equation in​ slope-intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation.
(-5,8); y=1/5x-3

Answers

Answer:

y = –5x – 17

Step-by-step explanation:

First, we shall determine the slope of the equation y = 1/5x – 3.

The slope of the equation y = 1/5x – 3 can be obtained by comparing the equation with y = mx + c.

This is illustrated below:

y = 1/5x – 3

y = mx + c

Thus, the slope (m) of equation

y = 1/5x – 3 is 1/5

Next, we shall determine the slope of the line perpendicular to the equation as follow:

For perpendicular lines, their slope (m1 and m2) are related as follow:

m1 × m2 = –1

m1 = 1/5

1/5 × m2 = –1

m2/5 = –1

Cross multiply

m2 = 5 × –1

m2 = –5

Therefore, the slope of the line is –5.

Finally, we shall determine the equation of the line as follow:

Coordinate = (–5, 8)

x1 coordinate = –5

y1 coordinate = 8

Slope (m) = –5

y – y1 = m(x –x1)

y – 8 = –5(x – (–5))

y – 8 = –5(x + 5)

y – 8 = –5x – 25

Rearrange

y = –5x – 25 + 8

y = –5x – 17

Therefore, the equation is y = –5x – 17.

when you apply combine like terms to the right side of the equation what do you end up with?

Answers

Looking at the right side, 6x + 7 -5x, when you combine like terms you end up with x+7.

Since the first term and the last term, 6x and -5x are like terms you add them. 6 plus -5 is one. In this case it would be x.(it is not necessary to put 1 in front of the x). And 7 is positive and it is the only term left by itself.

1.What is the standard form of a linear equation?

A.x+y=0

B.y= MX+b

C. m=rise/run

D. ax +By=C

2.Which term could be used to describe the graph of a line on a coordinate plane?

A. independent variable

B. test points

C. set of all solutions

D. dependent variable

3.Explain whether the points (−13,4), (−7,3), (−1,2), (5,1), (11,0), (17,−1) represent the set of all the solutions for the equation y=−1/6x+11/6.

A.Yes, because all the solutions of y=−1/6x+11/6 need to be integer values for x and y.

B.No, because the point (17,−1) is not on the line that represents the equation y=−1/6x+11/6.

C.No, because the set of all solutions of y=−1/6x+11/6 is represented by the line of the equation.

D. Yes, because all of the points that are listed are on the line y=−1/6x+11/6.

Answer them all in one answer please and thank you.

Answers

Answer:

1. D

sorry I know only first one

Is Mr. Martin a hero? xplain why or why not.

Answers

What do you mean show a picture of the question so i can help you

Answer:

mr martin was a hero in my eyes he saved many lives and was one of the strongest people to ever live (who is mr martin?)

Step-by-step explanation:

What is the measure of angle x? 62" X​

Answers

Answer:

c

Step-by-step explanation:

62+90=152

180-152=28

the sum of the interior angles must equal 180 degrees

Angle x measures 28°

What is triangle?

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

Given,

In the figure, interior angles of triangle measures =

62°, right angle = 90°, x

Sum of interior angles of a triangle = 180°

⇒ 62° + 90° + x = 180°

⇒ 152° + x = 180°

⇒ x = 180° - 152°

⇒ x = 28°

Hence, 28° is the measure of angle x.

Learn more about triangle here:

https://brainly.com/question/2773823

#SPJ2

Ignore a and b but can you help with c and d? Plz I’ll mark you as a brainiest

Answers

120+2x+20=180
140+2x=180
2x=40
x=20

C: 2x+20=60

2x=40

x=20

D: 3x+10=100

3x=90

x=30

help me ASAP ! Least to greatest -1/4 -2/3 , 1/3 , 2,5

Answers

-2/3, -1/4, 1/3, 2, 5

-2/3, -1/4, 1/3, 2/5

Things to keep in mind

Negatives are always the smallest.

Find a common denominator after sorting negatives and positives.

8. PLS ANSWER!!!!
and show work

Answers

Answer:

The equation of the parallel line is y = 5x + 11

Step-by-step explanation:

→ Parallel lines have same slopes and different y-intercepts

→ The slope-intercept form of the linear equation is y = m x + b, where

m is the slopeb is the y-intercept

In our question

∵ The equation of the given line is y = 5x + 2

→ Compare it with the form above to find its slope

m = 5

∵ The two lines are parallel

∴ Their slopes are equal

The slope of the parallel line is 5

→ Substitute it in the form of the equation above

y = 5x + b

→ To find the value of b substitute x and y in the equation by the

   coordinates of any point on the line

∵ The line passes through point (-2, 1)

x = -2 and y = 1

∵ 1 = 5(-2) + b

∴ 1 = -10 + b

→ Add 10 to both sides

∴ 1 + 10 = -10 + 10 + b

11 = b

→ Substitute value of b in the equation

∴ y = 5x + 11

The equation of the parallel line is y = 5x + 11

Mandy makes cupcakes, she uses 8 3/4 cups of flour for 12 cupcakes. How many cups of flour are needed to make 1 cupcake? Explain how you found each amount.

Answers

Answer:

Step-by-step explanation:

.75=3/4

8.75 cups divided by 12 cupcakes  = .73 (rounded up) cups of flour per cupcake

help me please
Solve for x and y

Answers

Answer:

ouch math keeps getting harder and harder every time!

Step-by-step explanation: sorry ik this aint

wat u looking for

A number n minus 3 is at least –5.

Answers

Answer:

n-3≥-5

If you need the equation solved...

n-3≥-5

+3 +3

n≥-2

Hope this helped!! Have a great day c:

Solve the inequality below.

4(x + 3) < 6x – 2

Answers

Answer:

X > 7

Step-by-step explanation:

4(x + 3) < 6x – 2

4x + 12 < 6x -2

-6x            -6x

-2x + 12 < -2

-12           -12

-2x < -14

-----     -----

-2         -2

x > 7

The < change because it was divided by a negative number

What is the equation of a line through point (-4, 5) that is perpendicular to the line with equation y= -6x+4?
20 POINTS & I WILL GIVE BRAINLIEST

Answers

Answer:

i will help in a bit

Step-by-step explanation:

√12
A. 2√5
B. 2√3
Which one? ​

Answers

Answer:

B. [tex]2\sqrt{3}[/tex]

Hope this helps!

Answer:

B.2√3

Explanation:

√2^2×√3

√2^2√3

2√3

A car travels 43 km in 56 minutes.
What is its average speed in km/h?
Give your answer rounded to 1 decimal place.

Answers

Answer:

[tex]\displaystyle v=46.07\ Km/h[/tex]

Step-by-step explanation:

Speed

The speed is the ratio between the distance x traveled by an object and the time t taken.

[tex]\displaystyle v=\frac{x}{t}[/tex]

The car travels x=43 Km in t=56 minutes. We are required to express the speed in Km/h. The time needs to be expressed in hours:

[tex]t = 56 / 60 = 0.933\ h[/tex]

Now apply the formula:

[tex]\boxed{\displaystyle v=\frac{43}{0.933}=46.07\ Km/h}[/tex]

What is the solution of 8 + a = 13? Justify each step. A. The steps are: (1) 8 + a = 13 (2) 8 + 8 + a = 13 + 8 (3) a = 21 The reasons are: (1) original equation (2) Addition Property of Equality (3) Simplify. B. The steps are: (1) 8 + a = 13 (2) 8 − 8 + a = 13 (3) a = 13 The reasons are: (1) original equation (2) Subtraction Property of Equality (3) Simplify. C. The steps are: (1) 8 + a = 13 (2) 8 − 8 + a = 13 − 8 (3) a = 5 The reasons are: (1) original equation (2) Subtraction Property of Equality (3) Simplify. D. The steps are: (1) 8 + a = 13 (2) 88+a=138 (3) a = 1.63 The reasons are: (1) original equation (2) Division Property of Equality (3) Simplify.

Answers

Answer:

C. The steps are: (1) 8 + a = 13 (2) 8 − 8 + a = 13 − 8 (3) a = 5 The reasons are: (1) original equation (2) Subtraction Property of Equality (3) Simplify.

Step-by-step explanation:

8 + a = 13 (original Equation)

Subtract 8 from both sides

8 + a - 8 = 13 - 8 ( subtraction property of equality

a = 5 (Simplify)

The correct answer is option C

C. The steps are: (1) 8 + a = 13 (2) 8 − 8 + a = 13 − 8 (3) a = 5 The reasons are: (1) original equation (2) Subtraction Property of Equality (3) Simplify.

evaluate = (√5+2√6) + (√8-√2√15)​

Answers

Answer: 2√2 + 3√8 = 2√2 + 6√2 = 8√2 , because we simplified √8 = √(4 * 2)

Answer:

[tex]\sqrt{5}+2\sqrt{6} + 2\sqrt{2} - \sqrt{30} \approx 4.5[/tex]

Step-by-step explanation:

[tex](\sqrt{5}+2\sqrt{6} ) + (\sqrt{8} - \sqrt{2} \cdot \sqrt{15} )[/tex]

[tex](\sqrt{5}+2\sqrt{6} ) + (\sqrt{8} - \sqrt{30} )[/tex]

[tex](\sqrt{5}+2\sqrt{6} ) + (2\sqrt{2} - \sqrt{30} )[/tex]

[tex]\sqrt{5}+2\sqrt{6} + 2\sqrt{2} - \sqrt{30} \approx 4.5[/tex]

Simplify this equation (3√2)²​

Answers

Answer:

18

Step-by-step explanation:

It is 18. You cal simply solve it as it doesn’t have an unknown integer

Kira is riding her bicycle. She rides at a speed of 8 kilometers per hour for 12.8 kilometers. For how many hours does she
ride?

Answers

Answer:

1.6 hours

Step-by-step explanation:

12.8 divided by 8 = 1.6

Which shows how to solve the equation 3/4x = -6 for x in one step?

Answers

Answer:

The first option 3/4(4/3)x=-6(4/3)

Step-by-step explanation:

Divide by 3/4 (so multiply 3/4 by 4/3) to cancel out the 3/4 so that only x is on that side.

Rs800 for 3 year at rate of 5 percent p.a

Answers

Answer:

Simple Interest = (Time * Rate * Principal) / 100

=> SI = 3 * 5 * 800 / 100

=> SI = 15 * 8

=> SI = Rs. 150

Hence, her interest after 3 years at a rate of 5 percent = Rs. 150

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Someone help please?

Answers

Step-by-step explanation:

If the whole bar is equal to 320 and you are given the numbers and variables, what would the equation be? Well, the line above the bar AND the bar are equal to each other. This means that the ORIGINAL EQUATION WILL BE: 4x + 12x = 320 (this will be your first answer).

Because 12x and 4x are LIKE TERMS, you can simplify them by adding them together like so: 12x + 4x = 16x. Now you can say that 16x is equal to 320 (this is your second answer).

Divide both sides by 16 to get the true value of ONE x. Like so:

16x / 16 = 320 / 16

x = 20 (this is your third answer)

Hmmmmmmmmmmmmmmm?????????

Answers

Answer:whats the question?????

Step-by-step explanation:

Please answerrr!!! (don’t answer if you don’t know it) will give brainliest

Answers

UV=24 and XY=15 because the pentagon to the left's side lengths are 3 times as large compared to the one on the right.


I need help with 9and 10 pleas

Answers

9 is D
10 is either a or b

What is 7(x+4)= -21?

Answers

Answer:

x = -7

Step-by-step explanation:

7x + 28 = -21

7x = -21 -28

7x = -49 /:7

x = -7

simplify the following​

Answers

Answer:

D. 64 z^ 2

Step-by-step explanation:

Simplify the expression.

What is an equation of the line that passes through the points (3, 8) and (1,0)?

Answers

Answer:

y = 4x - 4

Step-by-step explanation:

first, find the slope:

y2 - y1/ x2 -x1

8 - 0/ 3 - 1 = 4

no plug in your slope and one of the points to find the b:

y = mx+b

0 = 4 (1) + b

b= -4

so

y = 4x - 4

the level of detail that an instrument can measure is known as its _____

Answers

Answer:

precision

Step-by-step explanation:

it just is

please help! i would appreciate it!

Answers

Answer:

(Answer

Step-by-step explanation:

deleted)

Other Questions