a party company hs chairs and tables for rent. The total cost to rent 3 chairs and 5 tables is $42. the total cost to rent 9 chairs and 7 tables is $72. What is the cost to rent each chair and each table?
Answers
Answer:
ito
867$
Step-by-step explanation:
Sana makatulog
Each table is 6.75
Hope this helps
Related Questions
please please help last text then finals l give brainliest
Answers
1. The x - intercepts of the parabola are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex of the parabola is at (5, 80).
What is a parabola?A parabola is a curved shape
1. Given the parabola above, to find the x - intercepts, we proceed as follows.
The x-intercepts are the points at which the graph cuts the x-axis.
They are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.
The plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex is the maximum point on the graph.
So, we see that the vertex is at x = 5 s and y = 80 ft
So, the vertex is at (5, 80).
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the temperatures at midday on march 1st in five cities are shown in the bar chart below. What is the difference in temperature between rome and munich?
Answers
The difference in temperature between Rome and Munich is given as follows:
6ºC.
How to obtain the difference in temperatures?The difference in temperature between Rome and Munich is given by the subtraction of Rome's temperature by Munich's temperature.
The bar graph in the context of this problem gives the temperature for each town.
From the bar graph given by the image presented at the end of the answer, the temperatures for Rome and Munich are given as follows:
Rome: 11 ºC.Munich: 5 ºC.Hence the difference in temperature between Rome and Munich is given as follows:
11 - 5 = 6ºC.
Missing InformationThe graph is given by the image presented at the end of the answer.
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Question 10 (1 point)
A
33
7 in.
B
C
Answers
The value of AB is,
⇒ AB = 5.9
(rounded to nearest tenth)
We have to given that,
A right triangle ABC is shown.
Now, By trigonometry formula,
we get;
⇒ cos 33° = Base / Hypotenuse
Substitute all the values, we get;
⇒ cos 33° = AB / 7
⇒ 0.84 = AB / 7
⇒ AB = 0.84 × 7
⇒ AB = 5.88
⇒ AB = 5.9
(rounded to nearest tenth)
Thus, We get;
AB = 5.9
(rounded to nearest tenth)
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which of tje following proportion are true16/28=12/216/16=4/1430/40=24/3510/15=45/30
Answers
Notice that:
1)
\(\frac{16}{28}=\frac{4\cdot4}{7\cdot4}=\frac{4}{7}=\frac{4\cdot3}{7\cdot3}=\frac{12}{21}\text{.}\)2)
\(\frac{6}{16}=\frac{2\cdot3}{2\cdot8}=\frac{3}{8}\ne\frac{2}{7}=\frac{2\cdot2}{2\cdot7}=\frac{4}{14}\text{.}\)3)
\(\frac{30}{40}=\frac{10\cdot3}{10\cdot4}=\frac{3}{4}\ne\frac{2}{3}=\frac{12\cdot2}{12\cdot3}=\frac{24}{36}.\)4)
\(\frac{10}{15}=\frac{5\cdot2}{5\cdot3}=\frac{2}{3}\ne\frac{9}{10}=\frac{5\cdot9}{5\cdot10}=\frac{45}{50}.\)Answer: The only proportion that is true is the first one.
Mr. Li started a new workout routine this year. He lifts weights every third day and runs every fourth day. Today
he lifted weights and ran. How many days will it be until he lifts weights and runs again?
Answers
Answer:
3 days
Step-by-step explanation:
7% of 200 is what number?
Answers
Answer:
7% of 200 is 14
Step-by-step explanation:
200 × 7 ÷ 100
1400 ÷ 100 = 14
Thus, 7% of 200 is 14
-TheUnknownScientist
Answer:
14
Step-by-step explanation:
7% is equivalent to 0.07
200 x 0.07 = 14
Which of the following conditions or set of conditions must be met for a parallelogram to be a rectangle?
A. Diagonals are perpendicular.
B. Diagonals are congruent.
C. All sides are congruent.
D. The length of a diagonal is equal to the length of a side.
Answers
A parallelogram can only be a rectangle if the following conditions are satisfied: B) The diagonals must be congruent, and A) the diagonals must be congruent and perpendicular.
What is meant by parallelogram?A unique kind of quadrilateral known as a parallelogram is defined by having both pairs of its opposite sides parallel and equal. The opposing sides of a parallelogram are all parallel and of equal length. a quadrilateral parallelogram. Rhombus: An equal-length parallelogram with four sides. A parallelogram is a square. Always. This is accurate. A square is a quadrilateral with two sets of parallel sides, four right angles, and four congruent sides.Since not all parallelograms have equal sides, not every parallelogram is a rhombus. The opposite is true, though, when every rhombus is a parallelogram.Every rectangle is a parallelogram, but not every parallelogram is a rectangle, is the correct statement.Therefore,
One feature of a parallelogram is that its diagonals are divided in half. A rectangle also has congruent diagonals.
In addition to being congruent, the diagonals in a square are perpendicular to one another.
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identify the term of the expression 6x + 3
Answers
Answer:
x is the term
Step-by-step explanation:
Subtract: (c ^ 2 - 4c + 7) from (7c ^ 2 - 5c + 3)
Answers
subtracting (c ^ 2 - 4c + 7) from (7c ^ 2 - 5c + 3) would give 6c² - 9c -4
Substracting algebraic expressionsGiven the expressions as
(c ^ 2 - 4c + 7)
(7c ^ 2 - 5c + 3)
We are to substract expression 2 from expression 1
In doing this, we need to know the BODMAS rule ( bracket, of, division, multiplication, addition and subtraction). This would help in finding the solution
(7c ^ 2 - 5c + 3) - (c ^ 2 - 4c + 7)
Expand the bracket
7c² - 5c + 3 - c² - 4c + 7
collect like terms
7c²- c² - 5c - 4c + 3 - 7
Add or substract the like terms
6c² - 9c -4
Thus, subtracting (c ^ 2 - 4c + 7) from (7c ^ 2 - 5c + 3) would give 6c² - 9c -4
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Answer:6c^2-c-4
Step-by-step explanation:
(7c^2-5+3)-(c^2-4c+7)
7c^2-5c+3-c^2+4c-7
Rearrange the terms
7c^2-c^2-5c+4c+3-7
Combine like terms
6c^2-c-4
PLEASE HELP!! What is the surface area of the cone?
Answers
Hope this helped
Select all the expressions equivalent to (0.5p+7)+(0.3p-6)
Answers
Answer:0.8p+1 and 1+0.8p
Step-by-step explanation:
0.5p+0.3p=0.8p
7-6=+1
0.8p+1
and
Swap both numbers
(0.5p+7)+(0.3p-6)=1+0.8p
A farmer needs to fence a rectangular piece of land. She wants the length of the field to be 80 feet longer than the width. If she has 1080 feet of fencing material, what should be the length and width of the field?
Answers
The width of the field is 230 feet and the length is 310 feet.
Let's denote the width of the field as "x" feet.
The length of the field is 80 feet longer than the width, so it can be represented as "x + 80" feet.
To find the total amount of fencing material needed, we sum up the lengths of all four sides of the rectangular field:
2(length) + 2(width) = perimeter
Substituting the given values:
2(x + 80) + 2(x) = 1080
2x + 160 + 2x = 1080
4x + 160 = 1080
4x = 920
x = 920/4
x = 230
Therefore, the width of the field is 230 feet.
Now we can find the length by adding 80 feet to the width:
Length = Width + 80 = 230 + 80 = 310 feet.
So, the width of the field is 230 feet and the length is 310 feet.
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which rate can you set 7 miles over 1 hour equal to in order to find the distance traveled in 49 hours at 7 miles per hour
Answers
Answer:
Step-by-step explanation:
time = 49 hours
speed = 7 miles/hour
speed = distance / time
∴ distance = speed × time
= 7 × 49
= 343 miles
Type the correct answer in the box.
Rewrite the quadratic equation in the form y = a(x - h)² + k
Answers
The quadratic equation can be written as follows:
y = 5(x - 3)² + 50.
How to rewrite the quadratic function?The quadratic function in the context of this problem is defined as follows:
y = 5x² - 30x + 95
The coefficients of the quadratic function are given as follows:
a = 5, b = -30 and c = 95.
Then the x-coordinate of the vertex is given as follows:
h = -b/2a
h = 30/10
h = 3.
The y-coordinate of the vertex is given as follows:
h = 5(3)² - 30(3) + 95
h = 50.
Hence the equation is:
y = 5(x - 3)² + 50.
Missing InformationThe quadratic function in the context of this problem is defined as follows:
y = 5x² - 30x + 95
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How much money is invested now in an account that earns 4% interest compounded continuously so that the investment will be worth $5000 in 10 years?
Answers
The initial investment needed in the account is approximately $3379.09 to grow to $5000 in 10 years with continuous compounding at a 4% interest rate.
Given that:
Final amount: A = $5000
Initial investment: P = ?
Interest rate: r = 4%
Time period: t = 10 years
To calculate the initial investment, use the formula for continuous compound interest:
\(A = P \times e^{rt}\)
Substituting the given values into the formula,
\(5000 = P \times e^{0.04 \times 10}\\P=5000/e^{0.04 \times 10}\)
P ≈ 5000 / 1.481031
P ≈ 3379.09
Therefore, the initial investment needed in the account is approximately $3379.09.
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If 12.6cm on the map is equal to 1262km in real life, determine the unit scale of the map
Answers
Answer:
1unit scale on map is equal to 100.16 km in real life
Step-by-step explanation:
since in map 12.cm =1262km in real life
1cm=(1262/12.6) km
therefore it gives us 100.158km which is approximately 100.16 km .
All functions have a domain of R (all real numbers).
True
Or False
Answers
Answer:
True
Step-by-step explanation: Trust me
Eliana loves music, especially 80's punk rock. Eliana looked at the number of songs in her itunes account and she has 6 less than 4 times her best friend. Eliana's classmate David has 3 more than double her best friend. When talking to her Social Studies teacher, Eliana found out social study teacher has 7 more than two times the number of songs in his library than Eliana. Define a variable, then write and solve an equation. If the total number of songs is 382, how many songs does Eliana, her best friend, David and her social study teacher have?
Answers
Answer
Step by step explantion:
bsf= 26
Eliana:98
SS teacher=203
David=55
Step-by-step explanation:
m= music
bsf: m
eliana:4m-6
David:2m+3
SS teacher: 2(4m-6)+7
m+4m-6+2m+3+8m-12+7
382=15m-7
7+ +7
389=15m
/15m /15m
m=26
multiply 26 to each one of them
26. The school is selling tickets to a music showcase. On the first day of ticket sales the school sold 3 student tickets and 1 adult ticket for a total of $38. The school took in $52 on the second day by selling 3 student tickets and 2 adult tickets. Find the price of a student ticket and the price of an adult ticket.
Answers
Let the price of student ticket be x and price of adult ticket be y.
The equation for total cost of ticket on first day is,
\(\begin{gathered} 3x+y=38 \\ y=38-3x \end{gathered}\)The equation for total cost of ticket on second day is,
\(3x+2y=52\)Substitute 38 - 3x for y in equation to obtain the value of x.
\(\begin{gathered} 3x+2(38-3x)=52 \\ 3x-6x=52-76 \\ x=-\frac{24}{-3} \\ =8 \end{gathered}\)Substitute 8 for x in equation y = 38 -3x to obtain the value of y.
\(\begin{gathered} y=38-3\cdot8 \\ =38-24 \\ =14 \end{gathered}\)So cost of a student ticket is $8 and cost of a adult ticket is $14.
30. When the polynomial f(x) = (p-1)x³ + px² + qx +r, where p, q and r are constants, is divided by (x + 2) and (x - 1), the remainders are - 5 and 4 respectively. If (x + 1) is a factor of f(x), find the values of p, q and r. Hence, factorize f(x) completely.
Answers
Answer:
Step-by-step explanation:
Using the remainder theorem we get:
\(f(-2)=-5\), \(f(1)=4\), and \(f(-1)=0\)
So we get
\(f(-2)=(-8)(p-1)+4p-2q+r=-5\)
\(-8p+8+4p-2q+r=-5\)
\(-4p-2q+r=-13\) \((a)\)
\(f(1)=(p-1)+p+q+r=4\)
\(2p+q+r=5\) \((b)\)
\(f(-1)=-(p-1)+p-q+r=0\)
\(-q+r=-1\) \((c)\)
We need to solve (a), (b) and (c) simultaneously to find p,q, and r.
from \((c)\) \(r=q-1\). Sub this into (a) and (b):
\(-4p-2q+(q-1)=-13 \rightarrow -4p-q=-12\) \((d)\)
\(2p+q+(q-1)=5 \rightarrow q=3-p\) \((e)\)
Sub (e) into (d) we get
\(-4p-(3-p)=-12 \rightarrow p=3\)
Sub \(p=3\) into \((e) \rightarrow q=0\)
Sub \(p=3,q=0\) into \((c) \rightarrow r=-1\)
SOLUTION: \(p=3,q=0,r=-1\)
So \(f(x)=2x^3+3x^2-1\)
by dividing (x+1) into f(x) we get (I am not showing working for this division)
\(f(x)=(x+1)(2x^2+x-1)\)
\(\rightarrow f(x)=(x+1)(2x-1)(x+1)\)
11. If AB LCD, mZDCE = (7x + 2) and mZECB= (x + 8), find the measure of ZDCE.
AC B.
Answers
Since AB is parallel to CD, we have alternate interior angles forming when transversal CE intersects the parallel lines. Therefore,
mZDCE = mZECB (Alternate Interior Angles)
(7x + 2) = (x + 8) (Substitute in the given angle measures)
Solving for x, we get:
7x + 2 = x + 8
6x = 6
x = 1
Now, we can use x to find the measure of angle ZDCE:
mZDCE = (7x + 2)
= (7*1 + 2)
= 9
Therefore, the measure of angle ZDCE is 9 degrees.
Solve the system of linear equations by substitution.
−5x+y=−7
−3x−2y=−12
Please help I'm having panic attacks about failing this test and failing the class this is my last test and I have a C please help
Answers
Answer:
\(x = 2 \\ y = 3\)
\( - 5x + y = - 7.......(1) \\ - 3x - 2y = - 12......(2) \\ from \: (1) \\ y = - 7 + 5x \\ substitute \: in \: (2) \\ - 3x - 2( - 7 + 5x) = - 12 \\ - 3x + 14 - 10x = - 12 \\ \)
\( - 13x = - 26 \\ x = \frac{ 26}{13} \\ x = 2\)
\(y = - 7 + 5x \\ = - 7 + 5 \times 2 \\ = - 7 + 10 \\ y= 3\)
how much is an 18% tip on a 14$ lunch?
Answers
Please help
A. 63
B. 72
C. 81
D. 108
Answers
Answer:
D.108 is correct.
Step-by-step explanation:
6*3 = 18
18*4 = 72
6*6 = 32
72 + 32 = 108
Have a nice day!
Steven paid $60 for 3 cardio dance workout classes. He’s trying to set up an equation to help him find the cost of each class. What should Steven put in the blank of the following equation? c=$___÷3?
Answers
Answer:
c=$60/3. $20 dollars per class.
Step-by-step explanation:
Describe the graph of proportional relationship represented by the equation Y equals eight minus 5X
Answers
The description of the proportional relationship represented by the equation y = 8 - 5x is A. The graph is a line that goes through points (0, 8) and ( 4, -12 ).
How to describe the graph ?The graph is given in the form of a linear equation which is y = mx + b. In this equation, b is the y - intercept, or the point the line crosses the y - axis when x is 0. This point on y = 8 - 5x, is 8.
If the line passes through the x axis at point 4, then the y - intercept would be :
= 8 - 5 ( 4)
= 8 - 20
= - 12
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Options for this question are:
The graph is a line that goes through points (0, 8) and ( 4, -12 ).The graph is a line that goes through points (0, 5) and (15, 2).The graph is a line that goes through points (0, 4) and (12 , 1).The graph is a line that goes through points (0, 5) and (1, 12 ).Find the time t, in years, for the principal P= $720 to reach the future value F = $735 under r = 1.74% interest compounded quarterly. Round your final answer to two decimal places.
Answers
Answer:
1.19 yearsStep-by-step explanation:
GivenP = $720F = $735r = 1.74% Compound n = 4tTime = t = ?Solution735= 720*(1 + 0.0174/4)^n1.00435^n = 735/7201.00435^n = 1.02083333333 log 1.00435^n = log 1.02083333333 n= log 1.02083333333 / log 1.00435n = 4.75t = 4.75/4t = 1.1875 = 1.19 rounded to 2 decimal placesThis table models continuous function f.
x f(x)
-2 0
-1
-8
0
-6
1
0
2
3
0
If function fis a cubic polynomial, which statement most accurately describes the function over the interval (0, 1)?
A.
The function is increasing over the interval (0, 1).
B.
The function is constant over the interval (0, 1).
OC. The function increases and decreases over the interval (0, 1).
OD.
The function is decreasing over the interval (0, 1).
4
Answers
HELPPPPPPPP ASAPP
Heather and Joel bought a house for $157,200 and know that the house appreciates every year. They keep track of their house value for 5 years and model their data with the exponential equation
y = 150000(1.004)12
t
How much will their house be worth in 8 years?
A $240,000$240,000
B $220,000$220,000
C $1,258,884$1,258,884
D $14,457,600
Answers
Their house will be worth approximately $240,154.57 in 8 years.
Non of the options is correct.
To determine how much their house will be worth in 8 years, we can substitute the value of t = 8 into the exponential equation:
y = 150,000(1.004)^(12t)
y = 150,000(1.004)^(12*8)
y = 150,000(1.004)^96
Using a calculator or computer software to evaluate the exponential expression, we find:
y ≈ 150,000 * 1.601030475
y ≈ 240,154.57
None of the provided answer choices match the calculated value. However, we can examine the available options and make an estimation:
A) $240,000: This option is very close to the calculated value of $240,154.57 and is a reasonable estimate.
B) $220,000: This option is significantly lower than the calculated value and is not a close estimate.
C) $1,258,884: This option is significantly higher than the calculated value and is not a close estimate.
D) $14,457,600: This option is extremely higher than the calculated value and is not a realistic estimate.
Based on the provided answer choices, option A) $240,000 is the closest estimate to the calculated value of $240,154.57. However, please note that the actual value may vary depending on the specific calculations and rounding methods used.
Non of the options is correct.
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c) Evaluate: 3√11x√2
Answers
Answer:
\(3\sqrt{22}\)
Step-by-step explanation:
The product of roots with the same index is equal to the root of the product \(3\sqrt{11*2}\)
Multiply
if the x is inside the square root