Four chairs and two tables cost £218.
Six chairs and seven tables cost £587.

Find the total cost of buying twenty chairs and five tables.

Answers

Answer 1

Answer:

x = cost of a chair = £22

y = cost of a table = £65

£765

Step-by-step explanation:

Let

x = cost of a chair

y = cost of a table

4x + 2y = 218 (1)

6x + 7y = 587 (2)

Multiply (1) by 6 and (2) by 4

24x + 12y = 1,308 (3)

24x + 28y = 2,348 (4)

Subtract (3) from (4) to eliminate x

28y - 12y = 2,348 - 1,308

16y = 1,040

y = 1,040/16

y = 65

Substitute y = 65 into (1)

4x + 2y = 218 (1)

4x + 2(65) = 218

4x + 130 = 218

4x = 218 - 130

4x = 88

x = 88/4

x = 22

x = cost of a chair = £22

y = cost of a table = £65

Find the total cost of buying twenty chairs and five tables

20x + 5y

Substitute the values of x and y

20x + 5y

= 20(22) + 5(65)

= 440 + 325

= £765


Related Questions

True or false: a polygon must have at least two sides.

Answers

Answer:

False, A polygon must have at least 3 sides.

Step-by-step explanation:

A polygon must have at least 3 sides. Not at least 2 sides.

A polygon must have at least three sides so the statement that a polygon must have at least two sides is false.

We have,

A polygon is a closed figure formed by straight lines called sides.

By definition,

A polygon must have at least three sides.

A polygon with only two sides would be classified as a line segment, not a polygon.

Thus,

A polygon must have at least two sides is false.

Learn more about polygons here:

https://brainly.com/question/28276384

#SPJ6

Which of the following events are called mutually exclusive?
i. Cards: Ace and Spades ii. Sit down and stand up
iii. Two dice: Odd and Even iv. Sit down and scratch your nose

Answers

Answer: mutually exclusive are:

ii. Sit down and stand up

ii. Sit down and stand upiii. Two dice: Odd and Even

because they can not occur same time

Mutually exclusive events don't occur at same ineterval and are not dependent upon each other

Here

They are

Sit down and stand up Two dice: Odd and Even

A sphere has a radius of 12 inches. A second sphere has a radius of 9 inches. What is the difference of the volumes of the spheres?
The volume of the larger sphere is _____π cubic inches greater than the volume of the smaller sphere.

Answers

Answer:

Solution given;

for sphere

radius [r]:12inches

another

radius [R]:9inches

Now

difference in volume of sphere:

volume of sphere of having radius [r-R]

=[tex] \frac{4}{3} πr³[/tex]-[tex] \frac{4}{3} πR³[/tex]

=[tex] \frac{4}{3} π[/tex](12³-9³)

= 1332π cubic inches

The volume of the larger sphere is ___1332__π cubic inches greater than the volume of the smaller sphere.

Question 30
What is the distance between points (-3,5,-7) and (2,-4, 6)?

Answers

Answer:

-5,4

Step-by-step explanation:

Solve the equation pleaseeee :) top answer will receive brainliest

Answers

Answer:

r= 96/5 or 19.2 either one is correct :)

someone answer this please!!!! A lot of points for answering.

Answers

Answer: 536.142 in^2

Step-by-step explanation:

trust the loli dragon jesus

2 x + 3/4 - 3 x - 2/5 - 6 x - 5/20 less than or equal to - 13/5​

Answers

Answer:

2x + 3/4 - 3x - 2/5 - 6 x - 5/20 is less than 13/4

Step-by-step explanation:

Do you want to know how I know it's because it equals   −8

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

is the fraction 1/8? I can’t see that clearly...

Answer:

B. (2, 1/64)

Hope this helps!

What is the area of Triangle EFG? Please help- Geometry isn't my best subject. Immediate answers are appreciated.

Answers

Answer:

12

Step-by-step explanation:

(5×6)-½(3×6 + 2×4 + 2×5)

=30 - ½(18+8+10)

= 30 - ½(36)

=30-18= 12

My son needs help on this ASAP. Greatly appreciated.

Answers

Answer:

x = 20 degrees

y = 128 degrees

Step-by-step explanation:

First, lets solve for x:

3x-8 = 2x + 12

x = 20 degrees

Let's check our work:

60 - 8 = 40 + 12

52 = 52

Now, lets solve for y:

360 - 104 = 256

Why 360? Because 360 degrees = full circle

256/2 = 128 degrees

y = 128 degrees

Why divided by 2? Because there are 2 parts that are equal (y)

Hope this helps! Sorry for the late answer!

--Applepi101

Can someone help me with this question ?

Answers

Answer:

The input is x2

Step-by-step explanation:

1*2=2

4*2=8 and the rest go on

Factor 100k^2 - m^2 ​

Answers

Answer:

A)

Step-by-step explanation:

if you use the foil method on A you get '100k² - m²'

please help with these questions and show how u found them i will mark you brainliest

Answers

Answer:

5(x+8)

5x+8x

5x+40

6q+2+3q+5

9q+7

Answer:

1. 5x + 40

to get this answer i multiplied the 5 to the variables in the parenthesis

2. 9q +7

to get this answer i added the variables that were similar., one pair has q at the end and the other does not.

Write down a number that is a multiple of both 4 and 9

Answers

Answer:

36

Step-by-step explanation:

3 Edward is scuba diving. He stops 14.3 m below the surface to look at a fish.
Then he swims down 5.8 m to look at a reef. He then swims up 3.2 m.
Which is the best approximation of Edward's current position relative to
the ocean surface?
CONS
Should
subtract
A 12 meters
B 11 meters
C-17 meters
D-23 meters
Dara chose B as the correct answer. How might she have gotten that answer?

Answers

Answer:

a. 12 meters

Step-by-step explanation:

po ang sagot ko po

#CARRY ON LEARNING

The list shows the numbers of employees in the nine departments at a company.

14, 23, 6, 54, 30, 26, 17, 3, 26
what is the range of numbers of employees in Theese departments
AWNSER ASAP PLSS!! :(​

Answers

Answer:

51.

Step-by-step explanation:

Step 1: Define/explain.

To find the range of a data set, subtract the smallest number from the largest number.

Step 2: Solve.

[tex]14, 23, 6, 54, 30, 26, 17, 3, 26[/tex]

[tex]54-3=51[/tex]

Step 3: Conclude.

I, therefore, believe the range of this data set is 51.

HELPPPP PLEASE !!!!!!!!!!!!!!

Answers

Answer:

113°

Step-by-step explanation:

triangles add up to 180°

180° - 34° - 33° = 113°

Answer:  113

==============================================

Explanation:

For any triangle, the three interior angles must add to 180 degrees

34+33+x = 180

x+67 = 180

x = 180-67 ... subtract 67 from both sides

x = 113

This triangle is obtuse because the 113 degree angle is larger than 90 degrees. Also, the triangle is scalene because all three angles are different values (consequently, it means all three sides are different from one another).

ANSWER BOTH!!!
A. An item is regularly priced at $65. Bill bought it at a discount of 20% off the regular price. How much did Bill pay?

B. The wholesale price for a pillow is $4.50. A certain department store marks up the wholesale price by 40%. Find the price of the pillow in the department store.
Round your answer to the nearest cent, as necessary.

Answers

Answer:

A = $52.00B = $6.30

Step-by-step explanation:

A. How much Bill paid AFTER the discount.

Step 1: Convert the discounted percent to decimal

20% = 0.2

Step 2: Multiply the discount to the item regularly priced

0.2(65.00) = 13

So, Bill received a $13 discount, therefore, the amount he paid AFTER his discount is:

Step 3: Subtract the result (the discount Bill received) from the regular price

$65.00 - $13.00= $52.00

Therefore, Bill paid $52.00

B.  The price of the pillow in the department store.

Step 1: Multiply the wholesale price for a pillow by the marked-up the wholesale price

$4.50 × 40% = 1.8

Set up a fraction

[tex]\frac{4.50}{x}=\frac{100\%}{40\%}[/tex]

The reciprocal of both sides gives

[tex]\frac{x}{4.50}=\frac{40}{100}[/tex]

x = 1.8

Step 2: Add the result to the wholesale price for the pillow

4.50 + 1.8 = $6.3

Step 3: Round to the nearest cent

Add a zero behind the result = 6.30

Therefore, the price of the pillow in the department store is $6.30

Christine runs each lap in 7 minutes. She will run more than 35 minutes today. What are the possible numbers of laps she will run today?
Use n for the number of laps she will run today.
Write your answer as an inequality solved for n.

Answers

Answer:

5 laps

Step-by-step explanation:

35\7

= 5

Therefore your ans is 5

Kendall scored 3 times as many points as Abdul scored in a basketball game. Otis scored 5 more points than Abdul
scored. The three players scored 45 points all together. How many points did each player score?
Kendall: 24 points; Abdul: 13 points; Otis: 8 points
Kendall: 8 points; Abdul: 8 points; Otis: 8 points
Kendall: 24 points; Abdul: 8 points; Otis: 13 points
o Kendall: 8 points; Abdul: 13 points; Otis: 24 points

Answers

Answer: it’s C
Because Kendall scored 3 times abdul

Answer: The person above was correct

Step-by-step explanation: :)

What kind of triangle is this?​

Answers

Answer:

acute triangle

Step-by-step explanation:

all angles are less than 90 degrees

hope this helps!! :D

Answer:

acute triangle

Step-by-step explanation:

in figure measures are less than 90° so acute triangle

Describe a sequence of transformations that shows that triangle ABC is similar to triangle YZX.

Answers

A sequence in an answer is 39 to 49 sequences in the term abc I think that is the correct answer

Helpppp meee i need itt! ahh *megan voice*

Answers

Answer:

B

Step-by-step explanation:

Roots from trees hold soil particles together, so it'll be more vulnerable to erosion.

Answer:

B

me big brain

Find area of the figure.

Answers

First the top right quart

area = 16, 4 * 4

Then the top left quart

making a 2 by 4 triangle followed with 4 additional square

making 2 * 4 * 1/2 = 4 + 4 meaning area = 8

then the bottom quart

Making a large triangle of 7 by 3

meaning 7 * 3 * 1/2 = 10.5

total area = 16 + 8 + 10.5 = 34.5

In the system of equations 4x + 2y = 10 and 12x - 3y = 3, what is the solution?
Hint: SOLVE BY ELIMINATION

Answers

Answer:

solution = (3, 11)

Step-by-step explanation:

4x + 2y = 10

*subtract 4x from both sides*

2y = -4x + 10

*divide by 2* --> y = -2x +5

12x - 3 y = 3

*add 3y to both sides*

12x = 3y + 3

*subtract 3 form both sides*

12x - 3 = 3y

*divide by 3* --> y = 4x - 3)

2x + 5 = 4x - 1

*subtract 2x form both sides*

5 = 2x -1

*add 1 to both sides*

6 = 2x

*divide by 2x* --> x = 3

y = 2(3) + 5   (plug in 3 for x to solve for y)

y = 6 + 5

y = 11

h(x) = 12 - 5x
p(x) = 2x
Find (h+g)(x)

Answers

are you sure h + g?

there is no g in your question..there's h and p

HELP ASAPPP! only need the rate of change

Answers

Answer:

3/1

Step-by-step explanation:

rise/run,  from P, Q, and R the slope goes to the left once and up 3 so the slope or rate of change is 3/1

Rearrange x=3g+2 to make g the subject.

Answers

Answer:

3g = x - 2

Step-by-step explanation:

x = 3g + 2

3g + 2 = x

3g + 2 - 2 = x - 2

3g = x - 2

If ABCDE is reflected across the line y=-1, then reflected again across they
axis, what are the new coordinates of point B?
E.
•B
o
*C
O A. (-4,-2)
O B. (-4,-4)
O C. (6,2)
OD. (-6,-2)

Answers

Answer:

B (-4,-4)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Since it is currently at (4,2), reflecting it across y=-1 will bring the y-coordinate down to -4. After that, reflecting it across the y-axis will flip the sign in front of the x-coordinate, so 4 to -4. Therefore, your answer is (-4,-4).

PLS PLS HELP ASAP!!!

Answers

Answer:

2 1/4

Or as a fraction

9/4

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