6 plates and 5 cups cost 23.80 dollars. 7 plates and 6 cups cost 28.00 dollars. Each plate costs the same amount as the other plates, each cup costs the same amount as the other cups. What is the cost of one plate? What is the cost of 1 cup?

Answers

Answer 1

Answer:

c = $1.4

p = $2.8

Step-by-step explanation:

two equations can be derived from the question

6p + 5c = 23.80 equation 1

7p + 6c = 28  equation 2

p = plates

c - cups

multiply equation 1 by 7 and equation 2 by 6

42p + 35c = 166.60  equation 3

42p + 36c = 168  equation 4

subtract equation 3 from 4

c = 1.4

substitute for c in equation 1

6p + 5(1.4)  = 23.80

p = (23.80 - 7) / 6

p = 2.8


Related Questions

The segments shown below could form a triangle.
A
С
B
С
8
00
8
A
O A True
B. False

Answers

Answer:

Step-by-step explanation:

Condition for a triangle formed by three segments,

Sum of two segments should be greater than third segment

1). AC + BC > AB

2). AC + AB > BC

3). AB + BC > AC

1). AC + BC > AB

   1 + 8 > 8

   9 > 8

   Triangle is possible.

2). AC + AB > BC

   1 + 8 > 8

   9 > 8

   Triangle is possible.

3). AB + BC > AC

    8 + 8 > 1

    16 > 1

   Triangle is possible.

Therefore, with the help of given segments triangle can be formed.

Answer is TRUE.

which function is shown in the graph below? y=2^x-2 +3, y=2^x+2 +3, y=2^x-3 +2, or y=2^x+3 +2

Answers

Question:

Which function is shown in the graph below?

A. y=2^x-2 +3

B. y=2^x+2 +3

C. y=2^x-3 +2

D. y+2^x+3 +2

Answer:

B.

The slope of a line is 7/10. The point (-10, -9) is on the line. Determine the equation of this line.

Answers

Answer:

y=97/100x + 7/10

Step-by-step explanation:

The slope of a line is 12 and the point (1, 10) is on the line. Express the line in slope-intercept form.

Answers

Answer:

y=12x-2

Step-by-step explanation:

(y-10)=12(x-1)

y-10=12x-12

y=12x-2

What is the diameter of a circle with a radius of 497^2?

Answers

Answer:

494018

Step-by-step explanation:

you are trying to find the diameter of the circle, it is usually half the length of a radius, but since 497 squared is how long a radius is (unless the question asked that the area if 497 inches squared), i can't really give you a clear answer, but the diameter is 247009 times 2 which is 494018

Pick ALL the options below that make g > 21 true

g = 21 1.

g = 17 2.

g = 12 3.

g = 34 4.

g = 25 5.

Answers

G=12,3. Because it all goes into the b

Answer:

correct answers that make g > true

g = 21.1

g = 34.4

g = 25.5

In short words , the 1st , 4th and 5th option make , g > 21 true .

(High points) please solve with explanation. Legit answers only thank you!

Answers

Step-by-step explanation:

The x-intercept is at (-3, 0). To find the slope of the perpendicular line, let's rewrite the equation to its slope-intercept form, which is

y = (2/3)x + 2

This means that the perpendicular line has a slope m = -3/2. So the slope-intercept form of this new line is

y = -(3/2)x + k. Since this line passes through (-3, 0), we cal solve for k:

0 = -(3/2)(-3) + k or k = -9/2

So our equation becomes (slope-intercept form)

[tex]y = - \frac{3}{2}x - \frac{9}{2} [/tex]

or in its standard form,

[tex]3x + 2y + 9 = 0[/tex]

For every person who actually has the flu, there are 6 people who have flu-like symptoms resulting from a cold. If a doctor sees 40 patients, write and solve a proportion to determine how many of these you would expect to have a cold

Answers

Answer: The number of people can be expected to have cold = 34

Step-by-step explanation:

Given: The ratio of people who actually have the flu to the people who have flu-like symptoms is 1:6.

If a doctor sees 40 patients, then the number of people can be expected to have cold = [tex]40\times\dfrac{6}{1+6}[/tex]

[tex]=40\times\dfrac6{7}[/tex]

[tex]=\dfrac{240}{7}\\\\=34.29\approx34[/tex]

Hence, the number of people can be expected to have cold = 34

3x + 2 for x = 5?

Whats the answer ? please help./

Answers

Answer:

x=5 so 3x5 is 15+2 = 17

Step-by-step explanation:

Answer:

It would equal to 17

Evaluate the expression when b=4 and y=-3.
-b+7y
I will mark brainliest plz help ASAP !!!!!!

Answers

Answer: 17

Step-by-step explanation :

To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number.

1. -4 + 7(3) = -4 + 21

2. -4 + 21 = 17

Pleas help this is due today!!

Answers

I can tell this activity is about graphing, but the writing is barely legible, can you re-upload the pictures or write it out?

The thousand bolt factory used 9 boxes, 9 cases, and10 bags, to fill an order. How many bolts did they pack

Answers

Answer:

I think this the answer

Step-by-step explanation:

The Thousand Bolts factory has an order for 3,140 bolts. How can it pack the order using the fewest packages?

20 points answer right uestion 1(Multiple Choice Worth 4 points)
(09.03 MC)

Sako makes 11 cakes to share equally among 5 people. How many cakes does each person get?

two and one tenth cakes
two and one fifth cakes
two and two fifths cakes
five and one half cakes

Answers

Answer:

two and one fifth

Step-by-step explanation:

Answer:

if you do the problem 5 and 11 with that multiply and but dont forgoet to divide that number its B

Please help I’ll mark as brainliest !

Answers

Answer:

x = 0.6

Step-by-step explanation:

2(x+4)+8x = 14

2x+8+8x = 14

10x+8 = 14

10x = 6

(divide by 10)

x= 0.6

Answer: 0.6

Explanation: Rid one side of any variables, then solve!

Answer the question. Will give Brainliest to whoever gets it right.

Answers

Answer:

27 feet

Step-by-step explanation:

they go 27 feet because 15+6+6=27

In right triangle RST below, altitude SV is drawn to hypotenuse RT If RV = 6.5 and TV = 3.85, what is the length of SV and ST, to the nearest tenth?

Answers

Answer:

10.1 Sv-St

Step-by-step explanation:

A new pair of Air Jordan's that sells for $150 decreases at a rate of 14% each year. Find the value of the shoes after 5 years (round to the nearest cent).

Answers

Answer:

$45

Step-by-step explanation:

If it looses it value of 14 % every year, by the end of 5 years, the value would go down by 70%.  So, 150x0.7= 105, 150-105=45, so it would be. worth. 45% in 5 years.

A bakery offers a sale price of $2.60 for 6 muffins. What is the price per dozen?

Answers

Answer:

$5.20

Step-by-step explanation:

A dozen is 12, so multiply by two.

2.60 * 2 = $5.20

Answer:

5.20 for 12

Step-by-step explanation:

2.60 for 6

2.60*2=12

5.20 for 12

the table below does not represent a function why? ​

Answers

Answer:

Because X (10) repeats

Step-by-step explanation:

A function has no repeated X but here in your x variable 10 is there twice so therefore it is NOT a function

You can use the pencil test also in a graph, align your pencil vertically and see if there are multiple points that have the same X and if there isn't any repeated its a function.

Answer:

The function is a relation between two sets that associates to each element of the first set exactly one element of the second set.

We have x = 10 twice with different f(x) associated, 5 and 20.

If we plot those points they will be on same vertical line, thus the vertical line test is failed.

A juice can is 16 cm tall and has a diameter of 9 cm. The ends of the can are tin and the body is cardboard.

a) What is the volume of the can?

b) What area of tin is used?

c) What area of cardboard is used?

d) What is the total surface area?

Answers

Answer:

I'll setup the problem and you can do the calculations

Step-by-step explanation:

a.

[tex]V = \pi( {D}^{2} \div 4)H[/tex]

V = volume; D = diameter; H = height of can

b.

Area of the Tin is the total area of the 2 Tin circles

one circle's area A is

[tex]A = \pi {D}^{2} \div 4[/tex]

A = area; D = diameter

calculate A

Then multiply by 2

c.

The area of the cardboard is the circumstance of the circle

times the height

[tex]SA = \pi DH[/tex]

d.

add answers from b and c

i need serious help grades go in tonighttt

Answers

Rewrite it from least to greatest and set it up like shown

Evaluate the following expression at x =-7 and y = - 6
-4x + 8y - 2

Answers

Step-by-step explanation:

this is the solution of your question

What two numbers have a product of -168 and sum -22 ?​

Answers

Answer:

-28 and 22

Step-by-step explanation:

two number that heve product -168 and sum -22 are -28 and 6

-28*6=-168

-28 + 6=-22

Answer: -28 and 22
-168 and -22

Please help quadratic equation!! 20 points

Answers

Answer:

x=4,−2

Step-by-step explanation:

Because Step 1. Move all terms to one side.

{x}^{2}-2x-8=0

x

2

−2x−8=0

2 Factor {x}^{2}-2x-8x

2

−2x−8.

1 Ask: Which two numbers add up to -2−2 and multiply to -8−8?

-4−4 and 22

Step 2. Rewrite the expression using the above.

(x-4)(x+2)

(x−4)(x+2)

and going to;

(x-4)(x+2)=0

(x−4)(x+2)=0

And Step 3. Solve for xx.

1 Ask: When will (x-4)(x+2)(x−4)(x+2) equal zero?

When x-4=0x−4=0 or x+2=0x+2=0

2 Solve each of the 2 equations above.

x=4,-2

x=4,−2

x=4,-2

Our Answer is:

x=4,−2

I Hope It's Helps

Answer:

2 and -4

tso numbers when added gives -2 and 8 incase it's not clear enough.

Please help its urgent quick fast Lighting McQueen!

Answers

Answer:

Option A

Step-by-step explanation:

x-7>2

x>9

Therefore, A is correct since 9 isn't included in the solution set.

Answer:

First option is correct

Step-by-step explanation:

x-7 > 2

x > 7+2

x > 9

Hope it is helpful....

Type the correct answer in each box.
The coordinates of the point that is a reflection of Y(-4, -2) across the x-axis are (, ). The coordinates of the point that is a reflection of Y across the y-axis are (, ).
Reset Next

Answers

Answer: G

Step-by-step explanation:

Data: Point which has the coordinates of (-2.5, 5.5)=x

Only step, find those two coordinates on the table

Explanation: Since the question is asking you to find  which point has those two coordinates, all you have to do is instead of finding all the coordinates of the points, just search for the coordinates provided and see what point it lands on.

For this problem, it lands on Point G so the answer is Point G(or just G)

I hope this helps!

Una persona que gana $2460000, invierte 35% en arriendo, 20% en alimentación, 25% en diversión y el resto para los demás gastos. ¿Cuánto dinero le corresponde para los demás gastos?

Answers

Answer:

Demas gastos= $492.000

Step-by-step explanation:

Dada la siguiente información:

Una persona que gana $2460000, invierte 35% en arriendo, 20% en alimentación, 25% en diversión y el resto para los demás gastos.

Primero, debemos determinar cuanto gasta en cada item:

Arriendo= 2.460.000*0,35=861.000

Alimentación= 2.460.000*0,20=492.000

Diversión= 2.460.000*0,25= 615.000

Total= $1.968.000

Ahora, lo que gasta en "demás gastos":

Demas gastos= 2.460.000 - 1.968.000

Demas gastos= $492.000

find the value of n

3n-10
n=

Answers

10-3=N

N=7

Step-by-step explanation:

hope you like it

Answer = 3 X n = 3n. 10-3n=7n 7n

PLEASE HELP !
What is the measure of Zx?
93
50
x

Answers

Answer:

x = 43

Step-by-step explanation:

The sum of the two angles is 93

50 +x = 93

Subtract 50 from each side

50+x-50 = 93-50

x = 43

Ned help with this don't anwser if you don't know​

Answers

Answer:

f(x) = 2x + 2

Step-by-step explanation:

1×2=2+2=4

3×2=6+2=8

and keep going

Other Questions
Choose the best tool for each scenario.Identifying a trend in temperature change over time: graphMeasuring the mass of a product of a chemical reaction: when was UNO established? annual survey in which readers rate their favorite cruise ship. All ships are rated on a -point scale, with higher values indicating better service. A sample of ships that carry fewer than passengers resulted in an average rating of , and a sample of ships that carry or more passengers provided an average rating of . Assume that the population standard deviation is for ships that carry fewer than passengers and for ships that carry or more passengers. Round your all answers to two decimal places. In the following sentence, please rewrite it to be proper. Alone in a strange house, every little noise frightened Josie. direct to indirect speech I said My Mother was very kind and supportive Castanets are central to the ensemble known as the gamelan.true false Change 10 miles per hour to meters per second (hint: you'll need tochange from miles to kilometers, then change kilometers to meters)how do i do this work shown!! Once upon a time, a mother duckling sat on her eggs with great impatience. How long would it be before they hatched? Finally, one summer day, the mother duckling watched as the eggs cracked, and her cute, yellow ducklings waddled into the world. She was filled with joy until she noticed that one egg, which was larger than all of the others, remained. After many hours, the egg cracked. A large, gray duckling emerged. The mother duck was horrified at the duckling's appearance. The mother duck's only comfort was that the ugly duckling could swim and dive under the water.As the ugly duckling grew, many animals in the pond criticized him. His feathers were too dark, his neck was too long, and his body was too big. His fellow ducklings refused to recognize that underneath the feathers, the ugly duckling was kind, good, and gentle. The ugly duckling shed many tears because none of the other animals would play with him.One day, the ugly duckling decided to run far away and find a place where the animals would look past his appearance and be kind and friendly. He came to a pond and sighted three beautiful swans. Their white feathers, long necks, and kind eyes made them look like royalty. The ugly duckling sighed in disappointment. He believed that the swans would never be his friends and looked down into the pond in despair. Then, his eyes opened wide, for he saw his reflection. To his great astonishment, the ugly duckling discovered that he was a beautiful, royal swan! The swans welcomed their new friend, whose lovely appearance was matched only by his kind heart. He now felt like he belonged.What is the theme of The Ugly Duckling? Don't give advice without being asked. Everyone needs a place to belong. It is better to be smart than beautriful. Staying active is a healthy life choice. pls help:( Which of the following is NOT a reason to make payments online? Question 6 of 10If the coefficient of determination for a data set containing 8 points is 1, howmany of the data points must lie on the regression line for the data set?A. 8B. 6C. 7D. 5SUBMIS Studying and got stuck if someone can help me. TIME F12LO35910The ruler who was best known for defending religious freedom and promoting tolerance wasO Akbar.O Mehmed II.O Aubangzeb.O Babur. What is Magnetic field Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false.I need help with the k+1 part of the proof Solve by finding the square roots: 3x2 - 9 = 3 Match each equation with the correct description of what happened. Draw a line or write the letter to show thematches. One of the descriptions will not have a match. Write two equations showing the described move.3x +7 = 5x12x + 3 = 610 - 6x = 4 + 5x-3(4x - 3) = -154x - 3 = 55x = 12-3 15x = -367 = 2x7 - 6x = 1 + 5x4x + 1 = 2Add -3x toAdd 3x to eachAdd-3 to each Multiply eachside.side by%.Multiply eachside by -3.Multiply eachside by -%each side.sideEFAB What causes an atom to be radioactive?? Describe how the rotation of Earth around its own axis and its revolution around the sun affect sunrise and sunset. Explain why will this be different from outer space. Une y forma palabras. Si dudas, consulta brainly Por ejemplo:corta csped How is Gowans behavior different from that of other preschoolers? Question 1 choices ChoiceA.,He plays alone