At an ice cream store, a family ordered 1 banana split and 2 hot fudge sundaes, paying a total of $11 for their order. The next customer ordered 4 banana splits and 3 hot fudge sundaes and paid $29. How much does each item cost?

Answers

Answer 1

Answer:

$5 and $3

Step-by-step explanation:

Cost of banana split = b

Cost of hot fudge sundae = s

b + 2s = 114b + 3s = 29

From the first equation we get:

b = 11 - 2s

Replacing in the second equation:

4(11 - 2s) + 3s = 2944 - 8s + 3s = 2944 - 29 = 5s15 = 5ss = 15/5s = 3

Then

b = 11 - 2*3 = 11 - 6 = 5

So banana split costs $5 and hot fudge sundae costs $3


Related Questions

Simplify 12¹⁶/12⁴ .​

Answers

[tex]12^{12}[/tex]

subtract 4 from 16.

Please help me to solve the question!​

Answers

Answer:  (x - 3)² + (y + 0.5)² = 3.25    →    [tex](x-3)^2+\bigg(y+\dfrac{1}{2}\bigg)^2=\dfrac{13}{4}[/tex]

Step-by-step explanation:

Concentric means they have the same center but different radii.

The equation of a circle is:  (x - h)² + (y - k)² = r²    where

(h, k) is the center of the circler is the radius of the circle

Complete the square to find the center of the circle

x² - 6x + _____  + y² + y + _____ = 1 + ____ + ____

    ↓                              ↓

-6/2 = -3                    1/2 = 1/2

Equation: (x - 3)² + (y + 1/2)² = r²

Since the circle passes through point (x, y) = (4, -2), input that into the equation to find r².

(x - 3)² +  (y + 1/2)² = r²

(4 - 3)² + (-2 + 1/2)² = r²

  (1)²    +  (-3/2)²    = r²

   1      +     9/4      = r²

                 13/4     = r²

Equation: (x - 3)² + (y + 1/2)² = 13/4    →   [tex](x-3)^2+\bigg(y-\dfrac{1}{2}\bigg)^2=\dfrac{13}{4}[/tex]

In decimal form: (x - 3)² + (y + 0.5)² = 3.25

r-18=27 Solve this equation

Answers

Step-by-step explanation:

r - 18 = 27

r = 27 + 18

r = 45

...

Answer:

r=45

Step-by-step explanation:

r-18 =27

r=27 +18

r=45

45 - 18 =27

What is the positive square root of 81?

Answers

Answer:

the positive square root of 81 is 9

Step-by-step explanation:

9 times itself equals 81

Angle XYZ = 2X° and angle PQR = (8X -20)°. If angle XYZ and angle PQR are supplementary, find the measure of each angle. Angle PQR = ?

Answers

Answer:

[tex]PQR = 140[/tex]

Step-by-step explanation:

Given

[tex]XYZ = 2X[/tex]

[tex]PQR = 8X - 20[/tex]

Required

Find PQR

Since both angles are supplementary, we have:

[tex]XYZ + PQR = 180[/tex]

This gives:

[tex]2X + 8X - 20 = 180[/tex]

[tex]10X - 20 = 180[/tex]

Collect Like Terms

[tex]10X = 20 + 180[/tex]

[tex]10X = 200[/tex]

Divide through by 10

[tex]X = 20[/tex]

Substitute 20 for X in [tex]PQR = 8X - 20[/tex]

[tex]PQR = 8 * 20 -20[/tex]

[tex]PQR = 140[/tex]

The bill from your plumber was $134. The cost for labor was $32 per hour. The cost for materials
was $46. How many hours did the plumber work.

Answers

Answer:

2.75 hours, or 2 hours and 45 minutes

Step-by-step explanation:

Subtract the cost of materials from the bill, 134-46=88.

Then, for every hour, he charges 32, so divide the difference by 32, 88/32.

25 points plz answer this ASAP plz

Answers

Answer:

Step-by-step explanation:

P jkijm

Sam bought 3 boxes of chocolate online. Postage was $9 and the total cost was $45. How much was each box?

Answers

Answer:

12 dollars each

Step-by-step explanation:

do the math

Answer:

$1.7

Step-by-step explanation:

3 x 9 = 27

45 ÷ 27 =

about $1.7

Kathy's square garden has an area of 105 square feet. How long will one side of a fence around the garden be?
(Between which two consecutive numbers)

Answers

Because the garden is a square, each side would be the same length. You take the square root of 105. It is 10.246
Answer: between 10 and 11

slope of points (2,3) and (-4,12)​

Answers

Answer:

[tex]\huge\boxed{slope=-\dfrac{3}{2}}[/tex]

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (2, 3) and (-4, 12).

Substitute:

[tex]m=\dfrac{12-3}{-4-2}=\dfrac{9}{-6}=-\dfrac{9:3}{6:3}=-\dfrac{3}{2}[/tex]

if f(x)=x^2, and
g(x)=x-1,then

f(g(x))= ___x^2+___x+____

Answers

Answer:

(1)x²+(1)+ (-2)

Step-by-step explanation:

f(g(x)= f(x-1) = (x-1)²

=x²+1-2

Answer:

Step-by-step explanation:

f(g(x))

g(x) = x - 1

f(x - 1)= (x - 1)^2 = x^2 - 2x + 1

9x+y=8 solve for y I dont know how to get y by itself im very confused pls hellp

Answers

Answer:

Hey angel i have missed talking to you on padlet and i hope we are still friends

Step-by-step explanation:

Step-by-step explanation:

subtract 9x from both sides

y = -9x+8

What is the product of -4(-15)? *​

Answers

Answer: 60

Step-by-step explanation: -4x-15=60

Answer:

60

Step-by-step explanation:

negative times negative is equals to positive

If a car is going 150 miles per hour then how many meters per second is it traveling at?

Answers

around 67.046 meters. hope it helps :)

Single-tickets sell for $20 each and a couple-tickets for $35 each. A total of 160 tickets are
sold, and the total value of the ticket is $4100. How many of each kind of ticket were sold?

Answers

Answer:

100 of the 20$ tickets, and 60 of the 35$ tickets

Step-by-step explanation:

20*x + 35*y = 4100

x + y = 160

That means x = 160 - y, put this into the first equation

20(160 - y) + 35y = 4100

3200 - 20y + 35y = 4100

15y + 3200 = 4100

15y = 900

y = 60

Put y = 60 into the second equation and

x + 60 = 160

x = 100

y = 60, x = 100

Double check that this works for both equations to make sure its right

20 * 100 + 35 * 60= 4100

2000 + 2100 = 4100 /Correct

100 + 60 = 160 /Correct

Jaiden's pen pal from Mexico said that he lives 3.3 kilometers from school. Jaiden knows
that 1 kilometer is approximately 0.62 miles. Which is the closest distance (in miles) that
Jaiden's pen pal lives from school?

Answers

Answer:

2 miles

Step-by-step explanation:

3.3 kilometers to miles is 2.0505. I'm not sure if this question want you to round, but if it does, the answer would be 2 miles.

To get your approximate answer, multiply 3.3 (kilometers) by 0.62 (miles).

You get 2.046 if you multiply it by 0.62 like the question says to do.

I had this probelm before lemme check my notes and I’ll give it to you ASAP

mason makes homemade pizza sauce. the recipe calls for 5 ounces of tomato sauce for every 1/4 teaspoon of garlic. what is the rate in ounces of tomato sauce per teaspoon of garlic that mason uses?

Answers

Answer:

Sauce requires milk, cheese, red potatoes

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

A gopher was digging 8 inches below ground. To avoid a tree root, it dug 3 inches deeper. What is the position of the gopher now relative to the surface? To solve the problem, Miles subtracted 8–3 and came up with an answer of 11 inches. Is Miles correct? Why or why not?

Answers

Answer:

Miles is incorrect

8-3=5 not 11

8+3=11

Simplify (9-1)^5/(6+2)^3
Help

Answers

Answer:

64

Step-by-step explanation:

(9-1)^5 / (6+2)^3

8^5 / 8^3

32768 / 512

64

4 gallons=___pints?




Helppp

Answers

Answer:

32

Step-by-step explanation:

multiply the volume by 8

Amanda and her best friend found some money buried in a field. They split the money evenly, each getting $24.28. How much money did they find? problem solving would really help thank youu!!!!

Answers

48.56

hope this helps

Complete the inequality statement. 4 1/4___ 17/4

Answers

Answer:

they are =

im sorry it was a little late

help
help
help
help
help
help

Answers

Have fun but I think it is b and e

Answer:

its E

Step-by-step explanation:

Which statement best describes how Charlemagne expanded his territory in Europe? He led the Catholic Church as the Holy Roman emperor. He became king of the Franks and then conquered other lands. He created schools in the kingdom and then became emperor of Saxony. He created new laws that allowed him to become king of the Lombards and Saxons.

Answers

Answer:

He became king of the Franks and then conquered other lands.

Step-by-step explanation:

Charlemagne became king of the Franks after the death of his father, Pepin the Short.

He inherited a sizeable portion of land that included what is now France, the Low Countries, and parts of Germany.

Charlemange launched several military campaigns throughout his long reign (he ruled for 46 years), and was highly successful in most of them. He conquered Northern and Central Italy, what is now Switzerland and Austria, and the majority of modern day Germany.

He was crowned Holy Roman Emperor in the year 800 by Pope Leo III. In exchange for this, Charlemange ceded a section of Central Italy to the Pople: the Papal States, which would be under direct control of the Roman Catholic Church until the Napoleonic Era.

Answer:

b

Step-by-step explanation:

which answer is it ????

Answers

Answer: it is option 2 person

Step-by-step explanation:

PLZ HELP, GIVING BRAINLIEST!! A swimmer dives straight into the ocean. His depth, d, in meters after t seconds, can be modeled using the equation d = (t - 3)^2 - 16 What is the lowest depth the swimmer reaches? How long does it take the swimmer to reach the lowest depth? a. 9 feet, 16 seconds b. 16 feet, 3 seconds c. 3 feet, 16 seconds d. 16 feet, 9 seconds

Answers

I think it’s d because if you plug in 16 for d and solve for t, t is about 9, it’s the only one that’s closest to true, but you can try plugging them in and checking it

The time taken by the swimmer to reach the lowest depth will be 9 seconds. The correct option is D.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a swimmer dives straight into the ocean. His depth, d, in meters after t seconds, can be modeled using the equation d = (t - 3)² - 16.

The time will be calculated as below;-

d = ( t - 3 )² - 16.

16 = ( t - 3 )² - 16

32 =  ( t - 3 )²

√32 = t - 3

5.67 = t - 3

t = 5.67 + 3 = 8.67 ≅ 9 seconds

Therefore, the time taken by the swimmer to reach the lowest depth will be 9 seconds. The correct option is D.

To know more about an expression follow

https://brainly.com/question/723406

#SPJ2

Convert 10pi/9 to degree measure.

Answers

Answer:

The answer is

200°

Step-by-step explanation:

To convert an angle from degrees to radians multiply the value by [tex] \frac{180}{\pi} [/tex]

From the question the value to be converted is [tex] \frac{10\pi}{9} [/tex]

Converting it into degrees we have

[tex] \frac{10\pi}{9} \times \frac{180}{\pi} \\ = \frac{1800}{9} [/tex]

We have the final answer as

200°

Hope this helps you

What does 70.2 rounded to the nearest ten?

Answers

Answer:

70

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

The sum of four consecutive integers is 106. What is the largest number?

Answers

Answer:

28

Step-by-step explanation:

25+26+27+28=106

ASAP
Water flowed out of a tank at steady rate. A total of 18 1/2 gallons flowed out of a tank in 4 1/4 hours. Which expression determines the the quality of water leaving the tank per hour?
O 17/4 divide 36/2
O 36/2 divide 17/4
O 17/4 divide 37/2
O 37/2 divide 17/4

Answers

Answer: In 1 hour water flowed out = 74/17  gallons

Step-by-step explanation:

Given as ,

The quantity of water flowed out of tank =  18 1/2 gallons

                                                                  =   37/2   gallons

The time spend in flowing water out of tank = 4  1/4 hours

                                                                         =   17/4   hours

∵ In   17/4 hours , water flowed out = 37/2

∴ In    1    hours                           ,  water flowed out =

So, in 1 hour water flowed out =  37*4/17*2 gallons Answer

Answer:

total galloons flowed=18 1/2=36/2

time that it flowed=4 1/4=16/4

rate=total galloons flowed/time to flow

rate=36/2÷16/4

=9/2gallons per hour

4.5gallons per hour

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