Mathematics High School

5 plates and 4 cups cost 21.20 dollars. 6 plates and 5 cups cost 25.70 dollars. Each plate costs the same amount as the other plates, and each cup costs the same amount as the other cups. What is the cost of 1 plate? What is the cost of 1 cup?

Answers

Answer 1

Answer:

x = cost of a plate = $3.2

y = cost of a cup = $1.3

Step-by-step explanation:

Let

x = cost of a plate

y = cost of a cup

5x + 4y = 21.20 (1)

6x + 5y = 25.70 (2)

Multiply (1) by 5 and 2 by 4

25x + 20y = 106 (3)

24x + 20y = 102.8 (4)

Subtract (3) from (4) to eliminate y

25x - 24x = 106 - 102.8

x = 3.2

Substitute x = 3.2 into (1)

5x + 4y = 21.20 (1)

5(3.2) + 4y = 21.20

16 + 4y = 21.20

4y = 21.20 - 16

4y = 5.2

y = 5.2/4

y = 1.3

x = cost of a plate = $3.2

y = cost of a cup = $1.3

Related Questions

PLEASE assist me in this geometry problem !!!

Answers

Answer:

B=9*5=45m²

P=4+5+3=12m

H=9m

Now

S.A=P*H+2B=12*9+2*45=198m²

V=BH=45*9=405m³

here

B:base area of rectangle

P=perimeter of triangle

H=length of rectangle

S.A=surface area

V=Volume

can someone pls help

Answers

The answer is b. I know because I know my math. Hoped this helped.

A movie theater is showing 1 musical and 7 other movies (8 movies in total). Each type of movie is equally likely to be chosen.

If 1,000 people go to the movies, how many people are expected to choose a musical? (*Hint* create and solve a proportion to help you)

Answers

Answer:

125

Step-by-step explanation:

1,000/8 because all the outcomes are evenly likely

help me with the question please

Answers

Answer:

7=9x

Step-by-step explanation:

Since he got $36 from working for 4 hours, you divide 36 by 4 to get the amount of money he makes per hour hence  the reason that m=9.

Same goes with the rest of the values.

Answer two questions about Equations AAA and BBB: A. 2x-1+3x=0 B.5x-1=0. How can we get Equation BBB from Equation AAA? and is equation A and B equivalent?

Answers

Answer:

you would simplify equation a by combining 2x plus 3x. yes they are equivalent. you can use any x to make the equation true.

Step-by-step explanation:

Answer:

Multiply/divide both sides by the same variable expression

No

Which atomic model is missing from this set? Bohr's model Dalton's model Rutherford's model Thomson's model Mark this and return

Answers

Answer:

Dalton’s model

Step-by-step explanation:

Dalton model is the only missing model. Dalton's model was the first atomic model: the atom represented as a solid, indestructible and indivisible mass. An idea that was already accepted by that time since the ancient Greeks.

Answer:

daltons

Step-by-step explanation:

product of -3/7a and -21/15b

Answers

Answer:

182857142857/100000000000

f
(
g
(
−
4
)
)
f(g(−4))

Answers

Answer:

What

Step-by-step explanation:

What’s this

Please please pretty please answer this :)

Answers

Answer:

The question ain't clear

hi guys i need help

cosx = 3/5
sinx+tanx = ?​

Answers

cosx = 3/5

sin²x + cos²x = 1

sin²x = 1- 9/25

sin²x= 16/25

sinx = 4/5

tanx = sinx/cosx

tanx = 4/3

What is the arithmetic mean for 8,10,8,5,4,7,5,10,8

Answers

Answer:

57.8

Step-by-step explanation:

I am sure that this is the answer.

Answer:

57.8

Step-by-step explanation:

8+10+8+5+4+7+5+10+8 ÷9 = 57.8

Hope this helps!

Bryson hopes to win a three-day vacation in a drawing that is being held at his office. He purchased 40 raffle tickets. There were 500 raffle tickets sold. What is the theoretical probability of Bryson winning the trip?
StartFraction 2 over 25 EndFraction
One-fifth
Four-fifths
StartFraction 500 over 40 EndFraction

Answers

A. It would be 2/25 probability. 40/500 gives 0.08, and 2/25 also gives 0.08.

Answer:

A is correct 2/25.

Step-by-step explanation:

Thats what answer I got from doing the math

im confused on how to do this

Answers

Answer:

150

Step-by-step explanation:

Surface area is the area of all the surfaces (or sides). To find the surface area, find the area of one side of the cube. Since a side of a cube is a square, all the lengths are the same. So, 5*5= 25. There are 6 sides to a cube, so multiply 6 by one of the faces 's area (aka sides), so 6*25=150.

7 times (18-x)=56
Pls answer this

Answers

Answer: x=10

Step-by-step explanation: your equation will be 7(18-x)=56 so distribute the seven

126-7x=56

Now try to isolate x by subtracting 126

-7x=-70

Now to further isolate divide by -7

X=10

Hope this helps!

X=10
Hope this is right

Total area of two room
Help due soon (no link)

Answers

The answer is B, 2136

Explanation:
48-28 = 20. Now 20 times 20 equals 400, now remember that number.
Now 28 times 62 equals 1,736.
Now back to 400.
400+1736 equals 2,136.

Hope I helped you, please tell me if I am correct or not.

Enjoy your day!
:)

plz help i beg!! 50 points

Answers

Answer:

63.25 sq. ft

Step-by-step explanation:

the area of fig. =

(½×8×6)+(½×3.14×5²)

= 24 + 39.25

= 63.25 sq. ft

Answer:

The area of the figure is 63.25 square feet

Step-by-step explanation:

yes

https://brainly.com/question/14200006

Please help I really need help on this I would really appreciate it anything helps !

Answers

Answer:

AXE and CXD  are vertical angles

AXF and FXD  are supplementary angles

DXC and BXC  are complementary angles

EXA and AXB  are adjacent angles

AXC and CXD  are supplementary angles

EXD and AXC are vertical angles

Step-by-step explanation:

plz answer question two<33

Answers

Answer:

C

Step-by-step explaination

C is false since 4^3=8

C is false 2^3 is 8 not 16

Please help if you could! Thank you :D

Answers

Answer:

ur mummy

Step-by-step explanation:

ur mum is ur mum so yeah

Expression to represent the perimeter ➽

➥ [tex]p=6a+8+12a+6a+8+10a-4[/tex]

[tex]p=6a+12a+6a+10+8+8-4[/tex]

[tex]p=34a+12[/tex]

Find the value of ''a''➽⇨ [tex]p=34a+12[/tex][tex]250=34a+12[/tex][tex]250-12=34a[/tex][tex]238/34=34a/34[/tex][tex]a=7[/tex]

➳➳➳➳➳➳➳➳➳

hope it helps...

have a great day!!!

Which best describes a triangle

Answers

Answer:

i think the answer may be acute and isosceles

what is the mean of 1,5,8,4,5,7,6,6,2,3

Answers

Answer:

4.7

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

4.7

Step-by-step explanation:

[tex]1+5+8+4+5+7+6+6+2+3=47\\47/10=4.7[/tex]

Help needed!

Jennie purchased a box of crackers from the deli. The box is in the shape of a triangular prism. How much packaging material was used to construct the cracker box?

Answers

Answer:

9

Step-by-step explanation:

HELLLLLLP ME EEEEEEEE​

Answers

Answer:

A. y=3x  but 3 is the slope

hope this helps

have a good day :)

Step-by-step explanation:

The equation of the line of best fit is y=3x+2. x=the number of ice cream sales and y= the number of days. Answer the following questions. Show your work as proof.

a. How many days did it take, if the number of ice cream sales is $40?

b. How much ice cream was sold on day 8?

Answers

Step-by-step explanation:

y = 3(40) + 2y = 120 + 2y =122.

If m x=49, y =41
x=90, y=49
x=90 y=41
x=41 y=49

Answers

Answer:

90

Step-by-step explanation:

90

using the midpoint formula, solve for the midpoint of the segment with these pairs of endpoints (-8,21) and (32,-2)​

Answers

Answer

(24,9.5) using the midpoint formula

Answer:

(12, 9.5)

Step-by-step explanation:

[tex]\frac{x_{1} + x_{2} }{2} , \frac{y_{1}+y_{2} }{2} = midpoint\\x:\frac{-8+32}{2} = 12\\y: \frac{21-2}{2} = 9.5[/tex] 

Andres buys 3 boxes of markers. Each box has the same number of markers. Andres now has 15 markers. Write and solve an equation to find how many markers are in one box.

help needed ASAP

Answers

Answer:

The answer is five

Step-by-step explanation:

Because 5 times 3 equals 15.

That's just basic multiplying. (*^*)

Have a good day!

The answer is five because if there are theee boxes of markers and you are left with 15 markers there must have been five in each box for you to get 15.

Goodluck!

You are mowing your neighbor's lawn. He is going to pay you $20.00 for the first two hours and $5.00 for anything after that. Which algebraic expression represents how much you will be paid for working h hours?

Answers

Answer: H = 35

Step-by-step explanation:

You do 20.00+5*h


Which ordered pair is the best estimate for the solution to this graphed system of
equations:

Answers

Answer:

(2.1, -1.3)

Step-by-step explanation:

Each line represents the set of points that satisfy the equation.

That means there's only one point that satisfies both equations (and thus, is the solution) - the point where they cross.

We can see it's a bit to the right of x=2 and a bit lower then y=-1, so the (2.1, -1.3) point looks like the most plausible estimate.

The diagram shows a right-angled triangle.
to
3 cm
8 cm
Find the size of angle x.
Give your answer correct to 1 decimal place.

Answers

Answer:

24.c

Step-by-step explanation:

the a sweer is 24.3 ..

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