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
True or false: a polygon must have at least two sides.
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
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 EvenA 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.
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)?
Answer:
-5,4
Step-by-step explanation:
Solve the equation pleaseeee :) top answer will receive brainliest
Answer:
r= 96/5 or 19.2 either one is correct :)
someone answer this please!!!! A lot of points for answering.
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
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
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.
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.
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 ?
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
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
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
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?
Answer:
a. 12 metersStep-by-step explanation:
po ang sagot ko po
#CARRY ON LEARNINGThe 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!! :(
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 !!!!!!!!!!!!!!
Answer:
113°
Step-by-step explanation:
triangles add up to 180°
180° - 34° - 33° = 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.
Answer:
A = $52.00B = $6.30Step-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.
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
Answer: The person above was correct
Step-by-step explanation: :)
What kind of triangle is this?
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.
Helpppp meee i need itt! ahh *megan voice*
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.
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
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)
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
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.
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)
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!!!
Answer:
2 1/4
Or as a fraction
9/4