At the local harvest festival Marty bought 2 pumpkin pie slices and 2 cups of hot chocolate $10.00. Patty bought 4 slices of pie and 5 cups of hot chocolate for $22.50. How much is a slice of pumpkin pie and how much is a cup of hot chocolate?

Answers

Answer 1

Answer:

1 cup of hot chocolate is $2.5

1 slice of pumpkin pie is $2.5

Step-by-step explanation:

Represent Pumpkin Pie with P and Hot Chocolate with C:

Marty:

[tex]2P + 2H = 10[/tex]

Patty:

[tex]4P + 5H = 22.5[/tex]

So, we have the following set of equation:

[tex]2P + 2H = 10[/tex] -------- (1)

[tex]4P + 5H = 22.5[/tex] -------- (2)

Multiply the first equation by 2

[tex]2(2P + 2H = 10)[/tex]

[tex]4P + 4H = 20[/tex] -------- (3)

Subtract (3) from (2)

[tex]4P + 5H = 22.5[/tex]

[tex]4P + 4H = 20[/tex]

--------------------------

[tex]5H - 4H = 22.5 - 20[/tex]

[tex]H = 2.5[/tex]

Substitute 2.5 for H in [tex]2P + 2H = 10[/tex]

[tex]2P + 2 * 2.5 = 10[/tex]

[tex]2P + 5 = 10[/tex]

[tex]2P = 10 - 5[/tex]

[tex]2P = 5[/tex]

Divide through by 2

[tex]P = \frac{5}{2}[/tex]

[tex]P=2.5[/tex]

Hence, 1 cup of hot chocolate is $2.5 and 1 slice of pumpkin pie is $2.5


Related Questions

PLEASE GUYS HELP 60 POINTS PLS HELP

Complete the following:

1. Write an exponential expression: choose an odd number between 0 and 10 to be the base and an even number between 0 and 10 to be the exponent.

2. Label the base and the exponent.

3. Then write the exponential expression in expanded form and standard form

Answers

Answer:

[tex]e\frac{4}{3}[/tex] will be the exponential expression.

Step-by-step explanation:

We have to choose a number between 0 ad 10 and has to be odd to be base say 3

And even number between 0 ad 10 to be exponent  say 4.

So the exponential expression will be : [tex]e\frac{4}{3}[/tex]

According to the information given above expression is the required expression.

Answer:

43

Step-by-step explanation:

PLEASE HELP ME I NEED IT
X=
Y=

Answers

X=33 and Y= 57



Step by step explanation if you see the right angle at 57 degrees it part of x so x plus 57 is 90 and 90 minus 57 is 33 so x is 33 and x and y also form a right angle so x plus y should equal 90 and 90 minus 33 is 7 so that’s Y

Answer:

X=33 degrees

Y= 45

Step-by-step explanation:

The x would've been 90 degrees but the 57 degrees got in the way so if you subtract the 57 from 90 you get 33.

The y is if you look on the opposite side of the y there is a blank space that is the same exact size as the y size. So that would've been a 90 degrees as well but the other 90 degrees cut in the middle of it. Making you divide 90 in half.

ANSWER ASAP
How do we use the area of a polygon for Igloos?

Answers

Answer:

Igloos, Cones (such as ice cream cone), triangles ( such as roofs seen from one ... The tiles need to tessellate to cover an area without leaving any gaps .

Step-by-step explanation:

Any form of tiling involves polygons. The tiles need to tessellate to cover an area without leaving any gaps. This is directly connected to the angle properties of polygons.

Architects include polygons with every plan of a house - rooms usually have 90° corners, but not always. Rooms on a plan are polygons.

The cost of building any structure depends on the lengths of the walls and the size of the angles - all properties of polygons.

If a single free-standing room is to be built, the greatest ratio between the area and the perimeter is in a circle.

The smallest ratio between the area and the perimeter is found in a triangle. The best ratio in tessellating polygons is in a hexagon.

As soon as the cost of doing something one way as compared to another, it becomes a real life issue.

We are surrounded by polygons all the time.

hope this will help you... please follow me!!

Given: tanA= -square root 15
What is the value of tan (A-pi/4)?

Answers

Answer:

D

Step-by-step explanation:

The value of tan (A-pi/4) is  (-√(15)- 1) / 1 -√(15).

What is Tan(a - b) Identity in Trigonometry?

One of the trigonometric identities for compound angles is the tan(a-b) identity. When the angle for which the tangent function value is to be determined is supplied in the form of the difference of any two angles, it is used. The compound angle is denoted by the angle (a-b) in the formula for tan(a-b).

Given:

tanA = -square root 15

tanA = -√(15)

To find the value of tan (A-pi/4):

Use the formula,

Tan(a - b) Identity

tan(A-B) = (tanA - tanB) / 1 + (tanAtanB)

Substituting the values,

tan(A-π/4) = (tanA - tanπ/4) / 1 + (tanAtanπ/4)

tan(A-π/4) = (-√(15)- 1) / 1 + (-√(15)

tan(A-π/4) = (-√(15)- 1) / 1 + (-√(15)

tan(A-π/4) = (-√(15)- 1) / 1 -√(15)

Therefore, the value is tan(A-π/4) = (-√(15)- 1) / 1 -√(15)

To learn more about the tan(a-b) identity;

https://brainly.com/question/29004224

#SPJ2

Please help as fast as you cannn

Answers

Answer:

-43 < -35

(Negative 43 is less than negative 35).

Simplify: 22w - (-14w)

Answers

Answer:

36w

Step-by-step explanation:

Johannes needs to buy replacement team uniform...

Answers

Answer:

D.

Step-by-step explanation:

Please answer the question

Answers

J is the answer fjejdjrjrkdodoeoeoekrkrkekeorkrrkrkr

An assembly line inspector inspected 340 machine parts. 323 of the parts passed inspection. What percent of the machine parts did NOT pass inspection?

Answers

Answer:

5% did not pass inspection

Step-by-step explanation:

Given

[tex]Inspected= 340[/tex]

[tex]Passed = 323[/tex]

Required

Determine the percentage of parts that didn't pass inspection.

First, we need to calculate the number of those that didn't pass inspection.

[tex]Failed = Inspected - Passed[/tex]

[tex]Failed = 340 - 323[/tex]

[tex]Failed = 17[/tex]

Next, we calculate the percentage as follows:

[tex]\% = \frac{Failed}{Inspected} * 100\%[/tex]

The above formula is derived by dividing the number of parts that didn't pass inspection by the total machine inspected, then multiplied by 100%

So:

[tex]\% = \frac{17}{340} * 100\%[/tex]

[tex]\% = \frac{17 * 100\%}{340}[/tex]

[tex]\% = \frac{1700\%}{340}[/tex]

[tex]\% = 5\%[/tex]

5% did not pass inspection


3.3 Sam drove from his house to College. When he stopped at College he saw on the instrument panel
of his car that he covered 26.5 km. consider the figure below and answer the following questions
(a) what is the distance converted sam​

Answers

Answer:

question is not complete

What is the Mean,Median Mode. 1. 8,3,3,17,9,12,19 2. 11,8,2,5,17,39,52,42​

Answers

19 and 8 is the answer of this question ok

240 miles in 6 hours unit rate

Answers

Answer: 40 mph (miles per hour)

Step-by-step explanation:

Determine whether the graphs of the given equations are parallel, perpendicular, or neither. Explain.
y = 4x + 5
4x + y = -13

Answers

Answer:

They are neither parallel nor perpendicular.

it isn't parallel because they cross

it's not perpendicular because they don't cross at a 90 degree angle

Step-by-step explanation:

Hope this helps you and btw u should download desmos it's an amazing calculator that graphs these things for you!!! hope u have a wonderful day and stay safe and healthy:)))

Help plz:))) I’ll mark u brainliest

Help plz:))) I’ll mark u brainliest

Help plz:))) I’ll mark u brainliest

Answers

either 37, 17, 20 or 24, 26, 51

Answer:

its C can i get brainliest i only need 1 more

Step-by-step explanation:

Which set of numbers includes only whole numbers? Rational Numbers Integers Whole Numbers 7. -4, 5.0​

Answers

Answer:

2, 5, 8, 15

Step-by-step explanation:

The set of whole numbers is: 0, 1, 2, 3, ...

It includes zero but no negative numbers.

Answer: 2, 5, 8, 15

A) 6
B) 8
C) 12
D) 16

Answers

Answer:

b

Step-by-step explanation:

you would multiply -3/4 by it reciprocal (4/-3) and also multiply -6 by 4/-3 and you would-24/-3 then you would simplify it and get 8 ( a negitive tames an negitve would be a positive)

Hhhhhhheeelllppppp asap

Answers

It may be 6, 30 if not sorry I tried my bestto help

Subtract the following polynomials

Answers

Answer:

3.1x x+12.04zx-1.2z.....

Whoever answers correctly gets brainlist.

Answers

Answer:

its 23/36

Step-by-step explanation:

4/3x + 1/6x = 36 (solve for x please help I have no idea what it is!!!!!!!

Answers

Answer:

x = 24

Step-by-step explanation:

[tex]\frac{4}{3}[/tex]x + [tex]\frac{1}{6}[/tex]x = 36

Make the denominator the same by multiplying the first fraction by 2 to make both denominators 6.

[tex]\frac{8}{6}[/tex]x + [tex]\frac{1}{6}[/tex]x = 36

Now we can calculate the numerators and keep the denominators the same.

[tex]\frac{9}{6}[/tex]x = 36

Find x.

[tex]\frac{6}{6}[/tex]x = [tex]\frac{6}{9}[/tex] × 36

x = 24

Please help!!!! Your helping would be great!​

Answers


They are not equivalent.


Explanation:


2:9 and 4:12

What you would do to find out if they’re equivalent is simplify them to see if they’re the same simplified

2:9 simplified is 2:9 and 4:12 simplified is 2:6

Hank owed a friend $2.00 then paid back the $2.00. Which of these describes how much Hank owes now?

Answers

Answer:

A

Step-by-step explanation:

If he borrows two dollars that looks like it should be +2 because he has 2 dollars that he didn't have before. But ...

The problem is that he now owes 2 dollars. So the two dollars that he borrowed is wiped out.

+ 2 for the two dollars - 2 when he pays it back. Result 0

+2 - 2 = 0

A

Answer:

I think it's A

Hank paid back the 2$ that he owned his friend so he no longer owes him more money so -2+2=0

HELP ANSWER PLZ!!!!!!!!!!!!!!!!!!!!!

Answers

1. 5+3q
2. 5/q-5q
3. q/5+5q
4. 5(q-5)

Hope this helps. Brainliest or Thanks would be appreciated!

In August of 2012, Usain Bolt was named the fastest man in the world when he completed a 200-meter race in 19.32 seconds. Assuming he traveled at a constant speed, how much time did he take to run 1 meter?

Answers

Charlidamelio is overrated

On a coordinate plane, the fountain is at (7, 5), the gardens are at (3, negative 5), the pond is at (negative 1, 7), and concessions are at (negative 7, 0). Refer to the park map and check all that apply. The gardens are located in the fourth quadrant. The concessions are located on the y-axis. The x- and y-coordinates of the location of the fountain are both positive. The x-coordinate of the location of the pond is negative, and the y-coordinate is positive. The pond is located in quadrant I.

Answers

Answer:

The guy above me was rude. The answer is A, C, D. I just got it right on my assignment.

Step-by-step explanation:

For the meme: no

Answer:

its a,c,d

Step-by-step explanation:

Got It Right Edge2021

Can I please get help plsss

Answers

Answer:

1000 ft/min

Step-by-step explanation:

Rate of change in ft per min is 1000 ft per 1 minute from reading the graph

If \triangle BTS\cong\triangle GHD△BTS≅△GHD, BS = 25, TS = 14, BT = 31, GD = 4x - 11, m\angle∠S = 56°, m\angle∠B = 21°, and m\angle∠H = (7y + 5)°, find the value of y.

Answers

Given:

△BTS≅△GHD, BS = 25, TS = 14, BT = 31, GD = 4x - 11, m∠S = 56°, m∠B = 21°, and m∠H = (7y + 5)°.

To find:

The value of y.

Solution:

In △BTS,

[tex]m\angle B+m\angle T+m\angle S=180^\circ[/tex]        (Angle sum property)

[tex]21^\circ+m\angle T+56^\circ=180^\circ[/tex]

[tex]m\angle T+77^\circ=180^\circ[/tex]

[tex]m\angle T=180^\circ-77^\circ[/tex]

[tex]m\angle T=103^\circ[/tex]

We have,

[tex]\Delta BTS\cong \Delta GHD[/tex]

So, [tex]\angle T\cong \angle H[/tex]             (By CPCTC)

Then, [tex]m\angle T=m\angle H[/tex]

Now,

[tex]103=7y+5[/tex]

[tex]103-5=7y[/tex]

[tex]98=7y[/tex]

Divide both sides by 7.

[tex]14=y[/tex]

Therefore, the value of y is 14.

Alan is giving a basic math test in his class. One of the questions in the test is about finding two factors of the number 221. Which are the two factors of the given number?

Answers

Answer:

★ The two factors of the number 221 are 13 and 17.

A factor refers to a whole number, which fits evenly into another whole number. Thus, factors are the numbers, which we multiply together to get another number. The two numbers that can be multiply together to get 221 are 13 and 17.

Step-by-step explanation:

Hope you have a great day :)

What are the first 100 digits of pi?

Answers

Answer:

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679

Step-by-step explanation:

I think those are the first 100 or more , i didn’t count

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

Answer:

And now

AsapSCIENCE presents-

100 digits of π

3.14159, this is π

Followed by 2-6-5-3-5-8-9

Circumference over diameter

7-9, then 3-2-3

OMG! Can't you see?

8-4-6-2-6-4-3

And now we're on a spree

38 and 32, now we're blue

Oh, who knew?

7, 950 and then a two

88 and 41, so much fun

Now a run

9-7-1-6-9-3-9-9

Then 3-7, 51

Half way done!

0-5-8, now don't be late

2-0-9, where's the wine?

7-4, it's on the floor

Then 9-4-4-5-9

2-3-0, we gotta go

7-8, we can't wait

1-6-4-0-6-2-8

We're almost near the end, keep going

62, we're getting through

0-8-9-9, on time

8-6-2-8-0-3-4

There's only a few more!

8-2, then 5-3

42, 11, 7-0 and 67

We're done! Was that fun?

Learning random digits

So that you can brag to your friends

Step-by-step explanation:

Dan needs to get to austin as fast as possible. The train leaves at 3pm and can travel at a speed of 60 miles per hour. if austin is 65 miles away, how long will it take dan to get there?

Answers

Answer:

like an hour and some minutes

Step-by-step explanation:

60 miles per HOUR

hour=1

65 miles away

60 miles in 1 hour + 5 miles in sum mins

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