Answers
The cost to rent each chair is $1.5 and each table is $6.
To solve this problem, let's denote the cost of renting one chair as C and one table as T.
From the given information, we can set up a system of equations:
1. 8C + 3T = 30 (for the first scenario with 8 chairs and 3 tables)
2. 2C + 5T = 33 (for the second scenario with 2 chairs and 5 tables)
Use the elimination method.
First, multiply equation 1 by 2 and equation 2 by 8 to eliminate C:
1. 16C + 6T = 60
2. 16C + 40T = 264
Now, subtract equation 1 from equation 2:
(16C + 40T) - (16C + 6T) = 264 - 60
34T = 204
Now, divide both sides by 34:
T = 204 / 34 = 6
Now, we have found that the cost to rent one table is $6.
Substitute T = 6 into equation 1:
8C + 3(6) = 30
8C + 18 = 30
8C = 30 - 18
8C = 12
C = 12 / 8
= 1.5
Therefore, the cost to rent one chair is $1.5.
Therefore, the cost to rent each chair is $1.5 and each table is $6.
Related Questions
of
6. Which set of three numbers can be used
to make a right triangle?
A 39, 41, 45
B 39, 49, 59
C 39, 69, 99
D 39, 80, 89
Answers
Answer:
The set (39, 80, 89) can be used to make a right triangle. Thus, option D is correct.
Explanation:
We know that right-angle triangles obey the Pythagoras theorem, i.e.,
a² + b² = c²
Let's check for each set:
(39, 41, 45): 39² + 41² ≠ 45²
(39, 49, 59): 39² + 49² ≠ 59²
(39, 69, 99): 39² + 69² ≠ 99²
(39, 80, 89): 39² + 80² = 89²
Super easy geometry please help
Answers
Here Is a trick my dad taught me for this geometry, every time I did geometry I would've gotten mad about it so we made a trick
M-ultiply
A-nd
D-ivide
Hope this trick helps you!
PLEASE HELP I NEED ANSWER!!
Answers
Answer:
49 pie or 153.9
Step-by-step explanation:
A=pie r^2
A=pie×49
A=49 pie
Which function is graphed below?
Answers
Answer:
f(x)=cos(x)
The amplitude is equal to 1. The period is 2π.
Answer the question simplify no work needed
Answers
1st page : 16 , 32 , 7
2nd page : (Going down) 8 , 4 , 2 , 15 , 3 , 35 , 12 , 1 , 105 , 25 , 21 , 90
Plz correct me if I'm wrong
Translate the sentence and solve: "4 is 2 less than double a number".
x = -2
x= 2
х=-3
x= 3
Answers
Answer: x = 3
Step-by-step explanation:
you would double each number meamong multiply by 2 until you get the opposite of 4 being 2 less of a number so 6.
3 x 2 = 6
and 2 less than 6 is 4 so theres your answer :)
Please help me with these coordinates! ;) ❤️
Answers
Answer:
(7,3)
Step-by-step explanation:
Given,7 units away from x axis and 3 units away from y axis,
Coordinates are written in (x,y) form
(x,y)=(7,3)(Given)
Answer:
A
Step-by-step explanation:
7 units away from the origin in the direction of the x-axis
So it can be (7, ?) or (-7, ?)
3 units away in the direction of the y-axis
So it can be (7, 3) or (-7, -3) or other things
Remember: (X, Y)
A is (7,3) which is a possible based on this
B would not work based on this
C would not work either
D wouldn't too
An investing group has $50,000 to invest. They put the money in an account that has an annual interest rate of 6%, compounded monthly. How much money will the group have at the end of 10 years?
Answers
The investing group will have $90970 at the end of 10 years.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
We can use the formula for compound interest to solve this problem:
[tex]A = P(1 + r/n)^(^n^t^)[/tex]
where A is the total amount,
P is the principal
r is the annual interest rate,
n is the number of times the interest is compounded per year, and
t is the number of years.
P = $50,000, r = 0.06, n = 12 and t = 10.
Substituting these values into the formula, we get:
A = 50000(1 + 0.06/12)¹²⁰
A = 50000(1.005)¹²⁰
A=$90970
Therefore, the investing group will have $90970 at the end of 10 years.
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What is the slope for the line PERPENDICULAR to the line shown in the graph?
A) -3
B) -1/3
C) 3
D) 1/3
Answers
Because the slope= 3x.. and to find the perpendicular line, you need to flip the variable to a fraction and make it negative.
solve the following system x=3 y=3x-1
Answers
Answer:
x = 3
y = 8
Step-by-step explanation:
Since it gives you x, you need to plug in the number given for it into the equation:
y = 3x - 1
y = 3(3) - 1
y = 9 - 1
y = 8
So now you have, x = 3 and y = 8
Which of the following is(are) the solution(s) to 4 |x+3|>8
Answers
Answer:
x>-1 or x<-5
Step-by-step explanation:
4 |x+3|>8
Divide each side by 4
4/4 |x+3|>8/4
|x+3|>2
Absolute value inequalities have 2 solutions, one positive and one negative
Remember to flip the inequality when finding the negative solution
x+3 >2 or x+3 <-2
Subtract 3 from each side
x+3-3>2-3 or x+3-3 <-2-3
x>-1 or x<-5
Which of the following is the measure of XBA if ray BA bisects XBY which measures 70 degrees
Answers
Answer: The correct answer is C.35.
Step-by-step explanation:
70÷2=35
The value of the measure of XBA is,
⇒ 35 degree
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
We have to given that;
Here, ray BA bisects XBY which measures 70 degrees
Hence, The value of the measure of XBA is half of the measure of XBY.
So, We get;
the measure of XBA is,
⇒ 70 / 2
⇒ 35 degree
Thus, The value of the measure of XBA is,
⇒ 35 degree
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Write 2x(3x) + 2x(5) in factored form.
Choose 1 answer:
A. 2x(3x + 5)
B. (2x)(3x)(5)
C. 6x^2+ 10x
Answers
Answer: a
Step-by-step explanation:
The expression 2x(3x) + 2x(5) is factored into 2x(3x + 5). Hence, the correct option is A.
The expression 2x(3x) + 2x(5) can be written in factored form by taking out the common factor, which is 2x. The factored form is 2x multiplied by the sum of 3x and 5, which is represented as 2x(3x + 5). This matches with option A of the choices provided.
Simplify the expression: 3x2(x2 - 4x - 2) + (5x3 + 7x2 + 2x + 11)
Show and explain your steps. PLEASE!!!
Answers
Answer:
[tex]3x^4-7x^3+x^2+2x+11[/tex]
Step-by-step explanation:
[tex]3x^2(x^2 - 4x - 2) + (5x^3 + 7x^2 + 2x + 11)[/tex]
First, I will expand the expression [tex]3x^2(x^2 - 4x - 2)[/tex]
[tex]3x^2(x^2 - 4x - 2) \\3x^4-12x^3-6x^2[/tex]
So, we got
[tex]3x^4-12x^3-6x^2+ 5x^3 + 7x^2 + 2x + 11[/tex]
Adding similar elements, we get:
[tex]3x^4-7x^3+x^2+2x+11[/tex]
Which equation is represented by the graph below?
y= e^x +5
y= e^x +5
y= In x+4
y= ln x+5
Answers
Answer:
C) y= In x+4
Step-by-step explanation:
Took the test and got it right. Hope it helps
Answer: B
Step-by-step explanation:
on edg
Helps the first 2 questions
Answers
Answer:
The first one is 5m - 4y.
The second one is 3x - 4y.
Step-by-step explanation:
Write the general solution to y = arcsin 0
Answers
Answer:
y=+/- π k
Step-by-step explanation:
The general solution of the given function is [tex]y=0[/tex]
Inverse trigonometric function:Inverse trigonometric functions are simply defined as the inverse functions of the basic trigonometric functions which are sine, cosine, tangent, cotangent, secant, and cosecant functions.
Given function is,
[tex]y=sin^{-1}(0) \\\\y=0[/tex]
The general solution of the given function is [tex]y=0[/tex]
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Write the first six terms of the sequence.
ao = -5, An = 3an-1 + 12
Answers
Answer:
The first six terms of the sequence are -3, 3, 21, 74, 234 and 714
Step-by-step explanation:
Given the initial value a0 = -5 and the general form of the sequence given as An = 3an-1 + 12
To get the first six terms of the sequence, we will substitute for n=1 up to n= 6 in the general equation.
when n=1
A1 = 3a(1-1)+12
A1 = 3a0+12
A1 = 3(-5)+12
A1 = -15+12
A1 = -3
when n=2;
[tex]A2 = 3a(2-1)+12\\A2 = 3a1+12\\A2 = 3(-3)+12\\A2= -9+12\\A2= 3\\\\A3= 3a(3-1)+12\\A3= 3a2+12\\A3 = 3(3)+12\\A3= 9+12\\A3= 21\\\\A4= 3a(4-1)+12\\A4 = 3a3+12\\A4= 3(21)+12\\A4= 63+12\\A4 = 74\\\\A5= 3a(5-1)+12\\A5 = 3a4+12\\A5= 3(74)+12\\A5= 222+12\\A5 = 234\\\\\\A6= 3a(6-1)+12\\A6 = 3a5+12\\A6= 3(234)+12\\A6= 702+12\\A6 = 714\\[/tex]
The first six terms of the sequence are -3, 3, 21, 74, 234 and 714
Twenty eight slips of paper are numbered 1 through 28 and are distributed among a group of people. A random number generator is used to select a single number between 1 and 28, inclusively
A fair decision is made using this process
How many people could be in this group?
A. 3
B. 6
C. 7
D. 12
Answers
Answer:
Option D, 7, is the right answer.
Step-by-step explanation:
It is given that 28 slips of papers are numbered through 1 to 28.
Accordingly, there are 28 numbers.
For a fair decision, the number of slips with each one must be the same.
Therefore, the decision will only be fair if the number of people in the group is a factor of 28.
The factors of 28 are - 1, 2, 4, 7, 14 and 28.
In this way, 7 is the only factor of 28 among the given options.
Hence, the answer will be 7.
Tim had $150 to spend on 3 pairs of pants. After buying
them, he had $30 left over. What equation expresses how
much each pair of pants cost?
A.30x/3 = 150
B.3x - 30 = 150
C.3x = 180
D.3x + 30 = 150
Answers
If one factor of 21xy
3
2.2 2.
15x y is 3xy-, what is the other factor?
Answers
Answer:
if u answer my last question i will answer yours
Step-by-step explanation:
Damian likes to shoot baskets. He took 50 shots a day to keep track of how many he made for 10 days. Here are the number of shots made:
22, 25, 27, 37, 32, 19, 25, 45, 32, 33.
What is the RANGE of made shots?
Oa 26
Ob 45
Oc 32
Od 19
Answers
Answer:
a because that seems the most accurate
Step-by-step explanation:
GIVING AWAY BRAINLIEST
In a rectangle ABCD the diagonals intersect each other at point O, E is a midpoint of the side AB , and m∠BAC = 50°. Find the measure of angle EOD.
Answers
Answer:
130°
Step-by-step explanation:
In the picture attached, the rectangle can be seen.
We know that m∠BAC = 50°, then m∠ADB is also 50°. m∠AOE must be 180° - 90° - 50° = 40°, and m∠OAD = 90° - 50° = 40°, then m∠DOA = 180° - 40° - 50° = 90°. Finally m∠EOD = m∠DOA + m∠AOE = 90° + 40° = 130°
Answer:
140 degrees
Step-by-step explanation:
Please help! Will mark Brainliets (when it will let me, but answer has to be right!) (I have 3-4 other questions that need to be answered, if possible please answer them) Stay Safe!
Answers
Answer:
It is A
Step-by-step explanation: It's the same as finding the area of a cube but you have to divide by 2
Answer:
300
Step-by-step explanation:
To find the volume of a prism (it doesn't matter if it is rectangular or triangular) we multiply the area of the base, called the base area B, by the height h. 6x10=60 which is the base times the height 5 and you get 300.
Hope this helps!
Which statement must be true according to the box plot? The data is symmetric, and the lowest number of crackers in a package was 7. The data is symmetric, and the lowest number of crackers in a package was 8. The data is skewed, and the lowest number of crackers in a package was 7. The data is skewed, and the lowest number of crackers in a package was 8.
Answers
Answer:
C
Step-by-step explanation:
The data is skewed, and the lowest number of crackers in a package was 7
Answer:
they are correct the answer is C
Step-by-step explanation:
Find the distance between points A(5, 4) and B(2, 0)
Answers
Answer:
The distance between point A and point B is 5 units
Which statements about this figure are true? Select all
that apply
It is a triangular pyramid.
It is a rectangular pyramid.
It is a triangular prism.
It has 5 vertices.
It has 5 edges
It has 5 faces
Answers
Answer:
b , d, f
Step-by-step explanation:
on edge
The statements that are true about the considered figure (given below) are given by: Option C: It is a triangular prism, Option F: It has 5 faces
What is a triangular pyramid?Take a traingle. This is a base. Now take 3 triangles such that each of them are connected to one-one side of the first traingle and when they're taken together, they form a closed object, called as a triangular pyramid
What is a rectangular pyramid?Take a rectangle. This is the base. Now take 4 triangles such that each of them are connected to one-one side of the base rectangle and when they're taken together, they form a closed object. That shape is called rectangular pyramid.
What is a triangular prism?Connect three rectangles edge to edge. Now close their triangular mouths from both ends. That shape is called a triangular prism.
What are vertices, faces and edges?Faces are planar mathematical objects. Like a triangle, a rectangle etc. Edges are those line segments, which are on the edge of the faces (of some object considered).
Vertices are points of intersections of different edges.
The missing figure is attached below.
It consists of 3 rectangles joined edge to edge, and have two triangular ends in the shape they form, thus, making a triangular prism.
There are 6 vertices of a triangular prism, here for this figure, they're named as A,B,C,D,E,FThere are 9 edges of that object AB, AC, AE, BF, BC, CD, ED, FD, EFThere are 5 faces (2 triangles and 3 rectangles). ABC, DEF, ACDE, BFEA, BCFDThus, the statements that are true about the considered figure (given below) are given by: Option C: It is a triangular prism, Option F: It has 5 faces
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Solve each of the quadratic equations.
0 = 5.
3x = 0.522
o x = -6 or x = 0
0 x= -4 or x = 3
o x= -2 or x = 1.5
O x = 0 or x = 6
DONEC
DON
Answers
Answer:
1.
3x = 0.5x2
x = -6 or x = 0
x = -4 or x = 3
x = -2 or x = 1.5
x = 0 or x = 6
2.
0 = 5x2 - 2x + 6
D. & C.
help wanted pls math
Answers
Answer:
39 ft²
Step-by-step explanation:
Area of a triangle = 1/2bh
Let:
base = b = 4 ft
height = h = 3 ft
Solve for the area of the triangle:
A = 1/2(4)(3)
A = 2 * 3
A = 6 ft²
Area of a rectangle = bh
Let:
base = b = 9 ft
height = h = 5 ft
Solve for the area of the rectangle:
A = (9)(5)
A = 9 * 5
A = 45 ft²
Subtract the area of the triangle from the area of the rectangle:
45 - 6 = 39 ft²
39 ft² is your answer.
~
Answer:
39 ft²
Step-by-step explanation:
Shaded area = rectangle - triangle
(5 × 9) - (½ × 3 × 4)
45 - 6
39 ft²
Plz plz help me plz plz plzplzplzplz
Answers
Answer: C
Step-by-step explanation: its C