Lily is selling ice cream cones and ice cream sandwiches. She sells 3 ice cream cones and 4 ice cream sandwiches for $14.25. She sells 5 ice cream cones and 2 ice cream sandwiches for $13.25. How much is an ice cream cone? How much is an ice cream sandwich?

Answers

Answer 1

Answer:

cost of ice cream cones = $1.75

cost of ice cream sandwiches = $2.25

Step-by-step explanation:

Let

x = cost of ice cream cones

y = cost of ice cream sandwiches

3x + 4y = 14.25 (1)

5x + 2y = 13.25 (2)

Multiply (2) by 2

10x + 4y = 26.50 (3)

3x + 4y = 14.25 (1)

Subtract (1) from (3)

10x - 3x = 26.50 - 14.25

7x = 12.25

x = 12.25/7

x = $1.75

Substitute x = 1.75 into (1)

3x + 4y = 14.25

3(1.75) + 4y = 14.25

5.25 + 4y = 14.25

4y = 14.25 - 5.25

4y = 9

y = 9/4

y = $2.25

Answer 2

Answer:

cost of ice cream cones = $1.75

cost of ice cream sandwiches = $2.25

Step-by-step explanation:

Let

x = cost of ice cream cones

y = cost of ice cream sandwiches

3x + 4y = 14.25 (1)

5x + 2y = 13.25 (2)

Multiply (2) by 2

10x + 4y = 26.50 (3)

3x + 4y = 14.25 (1)

Subtract (1) from (3)

10x - 3x = 26.50 - 14.25

7x = 12.25

x = 12.25/7

x = $1.75

Substitute x = 1.75 into (1)

3x + 4y = 14.25

3(1.75) + 4y = 14.25

5.25 + 4y = 14.25

4y = 14.25 - 5.25

4y = 9

y = 9/4

y = $2.25


Related Questions

Which fraction has a a value that’s equal to 3/4?

Answers

6/8
Half of 6 is 3 and Half of 8 is 4
It will be 6/8 because the half of 6 is 3 and the half of 8 it’s 4. Hope this helps!

If you could help I would really appreciate it, but if not that’s fine. Thank you.

Answers

Answer:

Its 3x-5

Step-by-step explanation:

Since 5 is less than or equal to 5, you input it into the second equation!

2•(5) +3
10+3
13
The answer is 13!

Mr. Johnson buys 5 bottles of lemonade for the school picnic. He buys four 28
ounce bottles and one 64-ounce bottle. Using rounding to the nearest ten, about
how much lemonade does Mr. Johnson buy in all?

A. 360 ounces

B. 180 ounces

C. 90 ounces

D. 190 ounces

Answers

(4x28)+64
112+64
176
Rounded to the nearest ten it would be 180

help plz i dont undertand

Answers

Answers:

x = 4AB = 36BC = 36AC = 36

All three sides are 36 units long.

===========================================================

Explanation:

Triangle ABC is equilateral, so all three sides are the same length.

Pick any two of those sides, set them equal to each other, and solve for x

AB = BC

8x+4 = 11x-8

8x-11x = -8-4

-3x = -12

x = -12/(-3)

x = 4

Use this x value to find each side. We should get the same value (if not, then an error occurred in solving for x).

AB = 8x+4 = 8*4+4 = 32+4 = 36BC = 11x-8 = 11*4-8 = 44-8 = 36AC = 9x = 9*4 = 36

We get the same value for the three side lengths, so this confirms we have the correct x value.

Which plant is the furthest below the surface
of the water?
A. sea grass
B. green seaweed
C. mangrove
D. red algae

Answers

The answer is B. Green sea weed

Answer: The answer is seagrass

Step-by-step explanation: I did it and got it right

Which of the following is the solution set of the given equation?
(x-3)-2(x+6)=5

Answers

Answer:

the answer is x=-20 there you go

Answer: x = - 20 Hope I Helped!!

Step-by-step explanation:

Distribute

Eliminate Redundant Parentheses

Subtract The Numbers

Combine Like Terms

Add 15 to both sides of the equation!!!

Suppose that Omar's marginal utility for cups of coffee is constant at 1.5 utils per cup no matter how many cups he drinks. On the other hand, his marginal utility per doughnut is 10 for the first doughnut he eats, 9 for the second doughnut he eats, 8 for the third he eats, and so on (that is declining 1 unit for each additional doughnut consumed). Suppose that coffee costs $1.00 per cup and doughnuts $1.00 each, and Omar has a budget that he can spend only on doughnuts and coffee. How large would his budget need to be before he would spend a dollar on coffee?

Answers

Answer:

$6.5

Step-by-step explanation:

The marginal utility per dollar of a commodity is obtained by:

Marginal utility of coffee = 5.5

Price of coffee = $1

The marginal utility of doughnut declines by 1 per additional unit of donut consumed :

10 / 1, 9 /1..... 1/1

Therefore , before a dollar can be spent on coffee, then the marginal. Utility of coffee should be greater than doughnut.

5.5 doughnuts will be purchased, at this time marginal utility of doughnut will be 5.5/1, the 6th doughnut will have a marginal utility of 5 which is less than that of coffee.

Cost of 5.5 donuts = $5.5

Cost of coffee = $1

Total = $(5.5 + 1) = $6.5

How does hiphop use energy as a element of dance PLEASE ANSWER

Answers

Answer:

Energy can happen with movement. Dance requires a bunch of movement.

dancing is the use of force, tension, and weight.

what expression is equivalent to −24x+72?
Answer choices:
1. 24(x+72)
2. 24(x+3)
3. −24(x−72)
4. −24(x−3)

Answers

Step-by-step explanation:

the answer is 4. you factor the equation since 24.

The ratio : y is 3:1
Which of the following statements is correct?
A x is 3/4 of y
B y is 1/3 of x
c x is 1/3 of y
D y is 1/4 of x​

Answers

Answer:

y is 1/3 of x

Step-by-step explanation:

x:y is 3:1

mathematically, we have this as;

x/y = 3/1

x = 3y

or y = x/3

So the correct answer is that y is 1/3 of x

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

On the left triangle, the shorter side is labeled 4 inches and the longer side is labeled 10 inches. On the right triangle, the shorter side is labeled x inches and the longer side is labeled 20 inches.

The two triangles above are similar. Find the value of x. Be sure to explain your steps.

Answers

Answer:

8

Step-by-step explanation:

We are dealing with similaraty and similar shapes length are in proportion so we are going to set up an proportion.

Length of left triangle small side/ Length of left triangle long side= length of right triangle small side/length of right triangle long side

4/10=x/20

Cross multiply: 10x=80

x=8

Answer:

x = 8 inches

Step-by-step explanation:

As the triangles are similar, their corresponding sides will have same ratio:

left short side /right short side = left long side / right long side

or simpler

s₁/s₂ = l₁/l₂

Substitute values to find the missing one:

4/x = 10/204/x = 1/2x = 4*2x = 8

The missing side is 8 inches long

Base = 147cm2
Volume= 1323

What is the height ?

Answers

Height would be 9. This is because you can divide the volume by the base to get the remaining number

The height of the rectangular prism will be 9 cm.

What is the volume of the rectangular prism?

Let the prism with a length of L, a width of W, and a height of H.

Then the volume of the prism is given as

V = L x W x H

We know that the product of the length and width will be known as the base area.

Then the volume of the rectangular prism will be

V = A x H

Base area = 147 cm²

Volume = 1323 cm³

Then the height of the rectangular prism will be

1323 = 147H

H = 9 cm

The height of the rectangular prism will be 9 cm.

The complete question is attached below.

More about the volume of the rectangular prism link is given below.

https://brainly.com/question/21334693

#SPJ2

The sum of two numbers is 8. The difference between the two numbers is 2. What are the numbers? x + y = 8 x - y = 2 *Use the tables to list the possibilities

Answers

Answer:

x=5 y=3

Step-by-step explanation:

x+y=8 1

x-y=2 2

x+y=8

y=8-x

substitute into 2

x-(8-x)=2

x-8+x=2

2x=10

x=5

substitute x into 1

5+y=8

y=3

5+3=8

5-3=2

Factor the quadratic expression completely.
2x2 + 7x + 3

Answers

Answer:

(2x+1)(x+3)

Step-by-step explanation:

just remember to put a ^ when you do this 2x2 put it like this 2x^2

an you welcome and plz give me brainiest

Can any kind soul help me ASAP


The blue is the shaded region​

Answers

Answer:

200π/3 cm^2

Step-by-step explanation:

The answer is explained in the above photo

What is the value of x^2 – 3 when the value of x is 4?

Answers

Answer: the value is 13

Step-by-step explanation:

we simply substitute the letter for the number 4.

4^2 - 3

16 - 3

13

Answer:

13

Step-by-step explanation:

△RST ~ △RYX by the SSS similarity theorem.

Which ratio is also equal to StartFraction R T Over R X EndFraction and StartFraction R S Over R Y EndFraction?

StartFraction X Y Over T S EndFraction
StartFraction S Y Over R Y EndFraction
StartFraction R X Over X T EndFraction
StartFraction S T Over Y X EndFraction

Answers

Answer:

Answer would most likely be option D. StartFraction S T Over Y X EndFraction

Explanation:

Take care..

Find the value of x.
Z
Y
11x – 10
80°
W
X

Answers

Answer: I think the value of x is 20 but im not sure

Step-by-step explanation:

no explanation here

An aquarium costs $85
plus $2 per fish. Write an equation to
find the cost c of an aquarium plus
any number of fish f. Make a table to
find the cost of an aquarium plus 3, 4,
5, or 6 fish.

Answers

Answer:

C=85+2x

Step-by-step explanation:

c=85+2(3)     --   $91

c=85+2(4)     --   $93

c=85+2(5)     --   $95

c=85+2(6)     --   $97


Landen's front lawn measures 20 feet by 80 feet. He counts to find that there are
120 blades of grass per square inch. How many blades of grass are in the entire
lawn?

Answers

Answer:

[tex]27,648,000[/tex]

Step-by-step explanation:

The area of a rectangle is given by [tex]l\cdot w[/tex]. Landen's 20 feet by 80 feet front lawn therefore has an area of [tex]20\cdot 80 = \fbox{$1600\: \mathrm{ft^2}$}[/tex].

He counts there are 120 blades of grass per square inch. There are [tex]12^2=144[/tex] square inches in one square foot.

Therefore, his lawn has an area of [tex]1600\: \mathrm{ft^2}\cdot \frac{144\:\mathrm{in^2}}{1\:\mathrm{ft^2}}=230,400\:\mathrm{in^2}[/tex].

Thus, there are [tex]230,400\:\mathrm{in^2}\cdot 120=\fbox{$27,648,000$}[/tex] blades of grass in the entire lawn.

Line I is parallel to line m. If the measure of <6 is 75, what is the measure of <3​

Answers

Answer:

m∠3 = 105°

Step-by-step explanation:

Line 'l' is parallel to line 'm' and a transversal is intersecting these parallel lines at two distinct points.

m∠3 + m∠6 = 180° [Consecutive interior angles]

Since, ∠6 = 75° [Given]

m∠3 + 75° = 180°

m∠3 = 180 - 75

        = 105°

Therefore, measure of ∠3 is 105°.

In the given diagram, the measure of ∠3 is 105°

From the question,

We are to determine the measure of ∠3

In the diagram, ∠3 and ∠6 are consecutive interior angles

NOTE:

If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary

That is,

∠3 + ∠6 = 180°

From the given information,

∠6 = 75°

Then, we can write that

∠3 + 75° = 180°

∠3 = 180° - 75°

∠3 = 105°

Hence, the measure of ∠3 is 105°

Learn more on finding the measures of angles here: https://brainly.com/question/2883630

John went to the store and bought 4 pencils
and 10 binders and spent $64. Carmen went
to the same store and bought 7 pencils and 4
binders and spent $31. If Lisa wants to buy
pencils and binders from the same store,
how much should they tell her each item
costs?

Answers

You would have to use system of equations for this problem.
X= pencils and Y= binders
4x + 10y = 64
7x + 4y= 31
Pencils are $1 each and binders are $6 each.

PLEASE HELP

What is the solution

3/4x+2x-3=-1/4x+21

Answers

Answer:

x=1/27

Step-by-step explanation:

In attachment...

Can someone help me with this?​

Answers

The answer is C!! Hope this helps!!!:))))

AA two-story building measures 21 feet from the ground. A scale model shows the building to be 3 inches tall. How many inches would an 84 foot building be in the model?​

Answers

Answer:

12 inches

Step-by-step explanation:

21 feet = 3 inches (in a model)

84 feet = 12 inches (in a model)

84 ÷ 21 = 4

3 × 4 = 12

A box in the shape of a cube has a side length of 1 1/2 feet. What is the volume of the box?

Answers

Answer:

Step-by-step explanation:

V cube=s^3, where is the side of the cube

1 1/2ft=3/2 ft

V=(3/2)^3=27/8 ft^3=3 3/8 ft^3

V=3.375 ft^3

i need help with this !!!!

Answers

Answer: D
Explanation: If you try A, B, and C, you’ll find they are all correct, however D seems to be false.

graph the solution to the inequality on the number line. please help me​

Answers

Answer:

Step-by-step explanation:

HEELP ASAP

1. Evaluate the following algebraic expression: 8h ÷ 12 when h=3

Answers

Step-by-step explanation:

3h ÷ 12

= but this is wt I know❤️

Answer:

8 (3) /12 = 24/12, 24/12= 2

Graph the image of the figure after a dilation with a scale factor of 3 centered at (2, −7).

Use the Polygon tool to graph the quadrilateral by connecting all its vertices.

Here is a link to another brainly question that has the picture of my problem I just need a good answer for it and QUICK! 30 points https://brainly.com/question/12339482?exp=25-1

Answers

Answer:

Step-by-step explanation:

Point (-7,-2) is the center of dilation. The scale factor is 2.

If point A has coordinates (-3,-2), then its image point H has coordinates (1,-2).

If point B has coordinates (-6,2), then its image point E has coordinates (-5,6).

If point C has coordinates (-4,3), then its image point F has coordinates (-1,8).

If point D has coordinates (-1,1), then its image point G has coordinates (5,4).

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