Jack bought 4 hot dogs and 3 sodas for $15.50. Mack bought 3 hot dogs and 2 sodas for $11.25. Find the cost of each.

Answers

Answer 1

Answer:

Hot dogs: $2.75

Sodas: $1.5

Step-by-step explanation:

Hot dogs = x

Sodas = y

4x + 3y = 15.5

3x + 2y = 11.25

First find the value of the hot dogs by canceling out y:

2(4x + 3y) = 2(15.5)

3(3x + 2y) = 3(11.25)

= 8x + 6y = 31

9x + 6y = 33.75

x = $2.75 (Minus bottom equation from the top to isolate x)

Plug in for x to get y:

3(2.75) + 2y = 11.25

2y = 11.25 - 8.25 (Isolate the y)

2y = 3

y = 3/2, or $1.5


Related Questions

If you were to roll a standard six sided die, what is the probability of rolling a number less than what three other people rolled?

Answers

0.3333
I assume you mean on a 6-sided die? If so, there are two numbers less than 3: 1 and 2. There are 6 total possible results, so the probability of rolling a number less than 3 is 26 or 13 or 0.3333 .

round 3.26×5.15 yo significant figure​

Answers

Answer:

16.789

Step-by-step explanation:

The end of the number doesnt end in a 0 and all of the numbers after the decimal are significant

Answer:

16.789

Step-by-step explanation:

The end of the number doesn't end in a 0 and all of the numbers after the decimal are significant

Add the polynomials and write your answer in standard form.
(4x^3+6x-7) + (3x^3-5x^2-5x+9)

Answers

Answer:

we can simplify this and get 7x^3 -5x^2 + x +2

Step-by-step explanation:

hi can you please help me with this. the question is in the picture:)

Answers

i believe the answer should be d

The school swim team has 12 freshmen, 10 sophomores, 15 juniors and 5 seniors. The team is headed by 4 coaches

Answers

Answer:

simplified its 5:4 for juniors to freshmen's

Step-by-step explanation:

Answer:

5 : 4

Step-by-step explanation:

Ratio of juniors to freshmen = 15 : 12

15 = 3 * 5

12 = 3 * 4

GCF = 3

15 : 12 = 15÷3 : 12÷ 3

         = 5 : 4

I won 70 stickers. I gave 1 to each student. I have
54 left. How many did I give away?

Answers

Answer:

16

Step-by-step explanation:

70-54=16

Answer: you gave away 16 stickers

Step-by-step explanation: if you have 70 and you give one to each student, to find the amount you lost you would do 70-54 because that’s how many u have left and it leaves u with 16

hey its mathematics please and thank you

Answers

12.93 because 20.56-7.63= 12.93 <3

Can someone help me with this it’s timed !!!

Answers

Answer:

c

Step-by-step explanation:

Answer:

1. A

2. Missouri Compromise

3. Abolition

Step-by-step explanation:

Maria is solving this number riddle by using guess and check: Fifteen less than a number is twelve.
Based on the riddle, which statements must be true? Check all that apply.

Answers

Answer:

27

Step-by-step explanation:

x-15=12

x=15+12

x=27

Answer:

27

Step-by-step explanation:

The question and information is on the photo pls if you can give me the work to.

Answers

Answer:

SI = 2052.61 ft

Step-by-step explanation:

cos 13 = 2000/SI

0.9744 = 2000/SI

multiply both sides by SI:

(SI)(0.9744) = 2000

divide both sides by 0.9744:

SI = 2052.61 ft

Does anyone know? Thank you!

Answers

4/3 and 6/5 set me as brainlyest plz

Answer:

4/3

if you put all of the fractions in decimal form 4/3 is the most because it equals 1.25

Louis wants to carpet the rectangular floor of his basement. The basement has an area of 363 square feet. The width of the basement is 1 3 its length. What is the length of Louis's basement? The length is feet.

Answers

Answer:

the length is 33 feet

Step-by-step explanation:

The computation of the length is shown below:

Let us assume the length be x

So the width be 1 by 3 x

And the area is 363 square feet

So

As we know that

Area = length × width

363 = x × 1 ÷ 3 x

363 = 1 ÷ 3x^2

Now

363 × 3 = x^2

1089 = x^2

x = 33 feet

hence, the length is 33 feet

plz help i need some one to check if this is right :(

Answers

Answer: No, it's not. x should be 121

Step-by-step explanation:

Answer:

No it is 121

Step-by-step explanation:

22+37= 59

all angles add up to 180 degrees

180-59=121 degrees

how many true solutions are in x^2− 6x − 7 = 0

Answers

There are 2 true solutions in x^2-6x-7=0

Two trains, train A and train B, weigh a total of 251 tons. Train A is heavier than Train B. The difference of their weights is 181 tons. What is the weight of each train?

Answers

Train A weighs 181 tons and train B weighs 70 tons.

What Is The Measure Of X?

Answers

Answer:

Its a:70 degrees..........

Answer:

60 degrees

Step-by-step explanation:

This is because on the other side there is 30 degrees, and since a right angle= 90 degrees, simply do 90-30=60

Solve the system and determine whether it is consistent or inconsistent and dependent or independent.
2x – 4y = 10
-12x + 24y = -60

Answers

Answer is in a photo below.
It is consistent and independent.
x=25, y=10

determine two pairs of polar coordinates for the point (4, -4) with

Answers

Answer:

(4√2cos 135,  4√2sin135)

Step-by-step explanation:

determine two pairs of polar coordinates for the point (4, -4) with

Given the rectangular coordintate

r = √4²+(-4)²

r = √16+16

r = √32

r = √16*2

r =4√2

Theta = arctan(-4/4)

theta = arctan(-1)

theta = -45

theta = 180 - 45

theta = 135 degrees

x = rcos theta

y = rsin theta

x = 4√2cos 135

y = 4√2sin135

Megan has a bag of 6 green, 1 yellow, and 3 purple blocks. She draws a block, replaces it, and then draws another block. What is the probability that the two blocks are the same color?

Answers

Answer:

2/10 20%

Step-by-step explanation:

Item 19 The staircase has three parallelogram-shaped panels that are the same size. The horizontal distance between each panel is 4.25 inches. What is the area of one panel?

Answers

Answer:

[tex]Area = 287\ in^2[/tex]

Step-by-step explanation:

Given

[tex]Length = 20.5[/tex]

[tex]Space = 4.25[/tex]

[tex]Panels = 3[/tex]

See attachment

Required

The area of one panel

From the attachment, the total width is 50.5in.

i.e.

[tex]Total\ Width = 50.5[/tex]

Given that there are 2 spaces between the 3 panels and each space has a length of 4.25 in.

The reduced width is:

[tex]Reduced\ Width = 50.5 - 2 * 4.25[/tex]

[tex]Reduced\ Width = 42[/tex]

At this point, we can calculate the width of one panel by dividing the reduced width by the number of panels (3).

[tex]Width = \frac{42}{3}[/tex]

[tex]Width = 14[/tex]

The area of one is:

[tex]Area = Length * Width[/tex]

[tex]Area = 20.5 * 14[/tex]

[tex]Area = 287\ in^2[/tex]

Jonny has $50 in a savings account. Each week, he deposits $13 in the account. Jonny's brother has $90 in a saving account. Each week, he deposits $11 in the account. Write an algebraic expression to describe how much money Jonny and his brother will have in their accounts after m months.

Answers

Answer:

140 + 96 m

Step-by-step explanation:

There are 4 weeks in 1 month.

Therefore:

Jonny has $50 in a savings account. Each week, he deposits $13 in the account.

$50 + $13 × 4m

The algebraic expression is given as:

50 + 52m

Jonny's brother has $90 in a saving account.

Each week, he deposits $11 in the account.

The algebraic expression is given as:

$90 + $11 × 4m

90 + 44m

An algebraic expression to describe how much money Jonny and his brother will have in their accounts after m months is written as:

Amount Jonny has + Amount his brother has

50 + 52m + 90 + 44m

= 50 + 90 + 52m + 44m

= 140 + 96 m

Dexter’s aquarium holds 4.5 gallons of water. He needs to add some chemicals to balance the pH level in the aquarium. However, the chemicals are in liters. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of liters of water in Dexter’s aquarium?
A 1.18 L

B 0.7 L

C 8.3 L

D 17.1 L

Answers

Answer:

the answer is d 17.1 L

Step-by-step explanation:

Carly went for a walk and jog
• She started walking.
• After a few minutes, Carly began jogging at a faster speed than she was walking
• Carly got tired then slowed down to a slower speed than she was jogging

which graph best represents the distance Carly went?

Answers

Answer:

I believe D

Step-by-step explanation:

The reason is she starts off slowly but then keeps on gaining up and up.

One day a retail store received a box of 24 shirts. If this shipment had 6 defective shirts, what can the store expect for upcoming shipments?

F.
A box of 32 shirts will have 12 defective shirts.

G.
A box of 40 shirts will have 10 defective shirts.

H.
A box of 48 shirts will have 3 defective shirts.

J.
A box of 64 shirts will have 8 defective shirts.

Answers

Answer:

the answer is H.

Step-by-step explanation:

solve the following quadratic equation (x-16)^2=256

Answers

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

Answer:

[tex]sln \\ x {}^{2} - 16 {}^{2} = 256 \\ x {}^{2} = 256 - 16 {}^{2} \\ x {}^{2} = 256 - 256 \\ x {}^{2} = 0 \\ x = 0[/tex]

I hope this help you

is y+7=2x a direct variation

Answers

Answer:

No, y+7=2x does not represent direct variation

Step-by-step explanation:

No, y+7=2x does not represent direct variation, because of the constant (initial value) 7.

y = 2x represents direct variation; y = 2x - 7 does not.

The segments shown below could form a triangle.

A. True
B. False

Answers

The answer is True.
The answer is true because it just is

What is the answer to g(-9)

Answers

Answer:

-9g

Step-by-step explanation:

Move -9 to the left of g

I think this is right, sorry if it is wrong, have a great day

Amy needs to order a shade for a triangular-shaped window that has a base of 6 feet and a height of 8 feet. What is the area of the shade? The area of the shade is ft2.

Answers

Answer:

24

Step-by-step explanation:

A triangle is a three sided polygon with three edges and three vertices

There are different types of triangles. They include :

Right angled triangle - one of the angles measure 90 degreesequilateral triangle - all three sides of the triangle are equalisosceles triangle - two sides of the triangle are equal

Area of a triangle = 1/2 x ( base x height)

1/2 x (6 x 8) = 24 ft²

Which represents the dimensions of the rectangular park?
A. W = 20 ft. and / = 50 ft.
B. w = 30 ft. and I = 80 ft.
C. w = 50 ft. and I = 20 ft.
D. w = 80 ft. and I = 60 ft.

Answers

I’m guessing b not sure
Other Questions
Muscles cannot function without ATP. Review your knowledge of ATP by answering the followiniquestions.ATP molecules store and release_____. Solve the below problems being sure to provide the correct significant figures. 1) 1000 4.886 = __________2) 240 12.3 = __________3) 80 x 4.6 = __________4) 4.527 x 30 = __________5) 86 x 63.855 x 8000 = __________6) 700 x 91.186 = __________7) 7.1 x 348 = __________8) 50 29.1 = __________9) 98.773 x 24.891 x 409 = __________10) 0.065 x 3 x 3007 = __________ Which answers describe the shape below? Check all that apply.O A. TrapezoidO B. ParallelogramO c. SquareD. QuadrilateralE. RhombusF. Rectangle The y incision is the start?A.Bain examB. Sample collection stage C. Internal examD. External exam I need help please help Use the Distributive Property to write an expression equivalent to 4(5x + 11) (10*2)*3=( )* ( ) * ( ) = = What is the range for c=6t+8 Look at the picture below and answer the question that is being asked Please help quickly! will give brainliest! no explanation is required. just a correct answer :) Start time: 7:41 P.M.Elapsed time:End time: 8:50 P.M. The amount of money that is earned on a deposit is Given the triangle shown below, find the length of [BC] What is a key consideration when evaluating platforms? Read these sentences from "Letters to His Children". He is an exceedingly solemn, elderly gentleman with chin whiskers. He certainly does not look to be playful in nature. Which dictionary entry BEST defines nature as used in the sentence * Help this is the question pls help I need your help answer correctly23 pts find 5 rational numbers between 1 and 2 The body produces extra white blood cells after it has eliminated an invading organism. Whatterm is used to describe these "extra" cells? What do I know helps you figure out your What is the best first step to solve the following quadratic equation?16x2 + 38 = -40xA Add 40x to both sides.B Factor the right side.C Take the square root of both sides.D Multiply 16 by 38 and list the factors.