Answer:
where is table
Step-by-step explanation:
Seats in a movie theater are numbered 1-500, and the manager is handing out snacks during the movie. Every person whose seat is a multiple of 4 gets Twizzlers. Every person whose seat is a multiple of 7 gets nachos, and every person in a seat that is a multiple of 10 gets popcorn. The person in which seat number is the first to get all 3 treats?
Answer:
Seat number 140 gets all three treats
Step-by-step explanation:
Given
[tex]Twizzlers = Multiples\ of\ 4[/tex]
[tex]Nachos = Multiples\ of\ 7[/tex]
[tex]Popcorn = Multiples\ of\ 10[/tex]
Required
Determine first person to get all kinds of treats
To do this, we simply need to determine the LCM of the given multiples:
[tex]4 = 1 * 2 * 2[/tex]
[tex]7 = 1 * 7[/tex]
[tex]10 = 1 * 2 * 5[/tex]
[tex]L.C.M = 1 * 2 * 2 * 7 * 5[/tex]
[tex]L.C.M = 140[/tex]
Seat number 140 gets all three treats
Зу -- 4 +6 — 2y
2(x+5) = 3x +1
3(n+2) = 9(6-n)
what is the possible solution to the quadratic equation 2x^2+10=28
Answer:
x=3
Step-by-step explanation:
plug it into the equation and see if it's correct
In 1992 the average family income was about 42000, and in 2002 it was about 56256. Let x = 0 represent 1992, x = 1 represent 1993, and so on. Find values for a and b (rounded to one decimal place if necessary) so that f ( x ) = a x + b models the data a = b = What was the average family income in 1997? $
Step-by-step explanation:
Given the function that models the income of a family as g(X) = ax+b
at x = 0, g(x) = 42000, the function becomes;
g(X) = ax+b
42000 = a(0)+b
42000 = 0+b
b = 42000
at x = 1, g(x) = 56256
56256 = a(1) + b
56256 = a+b
a = 56256 -b
a = 56256 - 42000
a = 14,256
To get the average family income in 1997, wee need to calculate g(x) at when x = 5, since the number of years between 1992 and 1997 is 5years.
g(x) = ax+b
g(5) = 14256(5) + 42000
g(5) = 71,280+42000
g(5) = 113,280
Hence the average family income in 1997 is 113,280
George was reading a book. The book was 60 pages long. He read 15 pages on Monday, 10 pages on Tuesday, and 21 pages on Wednesday. How many pages does he need to read on Thursday to finish the book?
Answer:
He needs to read 14 pages on Thursday to finish the book
change 6 over 25 to percentage
Answer:
24%
Step-by-step explanation:
convert the fraction to decimal then multily by 100
6/25 to decimal is 0.24
0.24 x 100 = 24
Answer:
24%
Step-by-step explanation:
6/25
=0.24
=24%
what is 0.6x10 into the 3rd power
Answer:
216
Step-by-step explanation:
First, multiply 0.6 by 10
The answer is 6
The multiply 6 to the third power.
6 · 6 · 6 = 216
Hope I helped :)
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What is the least common denominator of the equation StartFraction 2 Over 9 EndFraction x + two-thirds x = 7?
3
9
27
63
Answer:
B
Step-by-step explanation:
I’m confused and don’t know why this should be easy but please help
Answer:
12$
Step-by-step explanation:
he worked from 1:45-4:45 wich means he worked 3 hours,then 3 hours *4$ =12$
Answer:
12 dollars
Step-by-step explanation:
Hello!
To solve this question, we understand that:
- the rate at which he earns money is 4 dollars an hour.
-if we find how many hours elapsed between 1:45pm-4:45pm, it is three hours which means he has worked for three hours
(4:45pm-1:45pm=3:00 hours)
Knowing this equation, we must figure out how much he earns during this time frame, 3 hours.
Since we know that the rate is 4 dollars an hour and he has worked 3 hours, let's multiply 4 times 3 (or add 4 three times 4+4+4) to get 12 dollars he has worked during this time.
2. At a store, 3 cents on every dollar spent is charged as sales tax. How much is paid as sales tax on a costume which cost $196.00
They paid sales tax on a customer which cost $196.00 is 75 %.
We have given that,
At a store, 3 cents on every dollar spent is charged as sales tax.
What is the sale tax?A sales tax is a tax paid to a governing body for the sales of certain goods and services
0.3 multiplied by $196.00
0.3 *196=58.8
$58.8 as sales tax.
Adding that to the $196 dollars
$58.8+$196=$254.80
Therefore total sum and amount of
=$254.80
Therefore, they paid sales tax on a customer which cost $196.00 is 75%.
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With the summer approaching, Mya decides to start a small lawn mowing business in her town. The initial cost for the lawnmower and other fixed expenses is $450. She determines it will cost her $6 per lawn for gasoline and maintenance. Mya decides to charge customers $20 per lawn.
Step-by-step explanation:
I believe we are expected to solve for the number of lawns she would mow before she could make profit
let the cost be C
and let the price be P
and let the number of lawn be x
C=$450----------1
P=6+20x---------2
equating 1 and 2 we can find x
450=6+20x
450-6=20x
444=20x
x=444/20
x=22.2
therefore for her to break even and start making profit she need to mow 22.2 lawns and above
what is 200 times 40000
200 times 40000 is 8000000.
200
x 40000
---------------
8000000
Answer: 8,000,000
Step 1: Multiply by smaller parts.
2 x 4 = 8
Step 2: Add all the zeros.
8,000,000
Answer = 8,000,000
Hope this helps!
Sabrina’s schedule is listed below. Each of her teachers only teaches one subject. Is this an example of a function? Why or Why not?
Period
Class
1st
Band
2nd
PE
3rd
Math
4th
SS
5th
ELA
6th
Science
Solve the following system of equations:
2x + 4y = 18
-3x + 2 = y
A.(-1, 4)
B.(1, 4)
C.(-1, 5)
D.(1, -1)
Answer:
Option C
Step-by-step explanation:
Given the following question:
[tex]2x+4y=18[/tex]
[tex]-3x+2=y[/tex]
To find the answer we need to find the values of each of the variables by solving one equation at a time, and then substitute those answers into each equation in till we have our answers.
[tex]2x+4y=18[/tex]
[tex]-3x+2=y[/tex]
[tex]y-y=0[/tex]
[tex]-3x+2+ -y=0[/tex]
[tex]2-2=0[/tex]
[tex]-3x+-y=0+-2[/tex]
[tex]-3x+3x=0[/tex]
[tex]-y=3x-2[/tex]
[tex]-y\div-1=y[/tex]
[tex]3x+2\div-1=-3x+2[/tex]
[tex]y=-3x+2[/tex]
Substitute y for -3x + 2:
[tex]2x+4y=18[/tex]
[tex]y=-3x+2[/tex]
[tex]2x+4(-3x+2)=18[/tex]
[tex]2x+4(-3x+2)=18=-10x+8=18[/tex]
[tex]-10x+8=18[/tex]
[tex]8-8=0[/tex]
[tex]18-8=10[/tex]
[tex]-10x=10[/tex]
[tex]-10x\div10=x[/tex]
[tex]10\div-10=-1[/tex]
[tex]x=-1[/tex]
Substitute x for -1:
[tex]y=-3x+2[/tex]
[tex]x=-1[/tex]
[tex]y=-3(-1)+2[/tex]
[tex]-3\times-1=3[/tex]
[tex]y=3+2[/tex]
[tex]3+2=5[/tex]
[tex]y=5[/tex]
[tex]x=-1[/tex]
[tex]y=5[/tex]
Your answer is "(-1, 5)" or option C.
Hope this helps.
Which expression is equivalent to 6-(8)
-6+8
-6+(8)
6+(8)
6+8
Answer:
-6+8
Step-by-step explanation:
-6+8=6-(8)
-2=-2
Hoped it helped :)
Evaluate -18 + x(-6)
When x = -9
The answer to your question is 36
-18 + x(-6)
Substitute x with -9
-18 + (-9) (-6)
Then you get 36
Hey there!
-18 + x(-6)
= -18 + (-9)(-6)
= -18 - 9(-6)
= -18 - (-54)
= -18 + 54
= 36
Therefore, your answer is: 36
REMEMBER!
• Negative & negative = positive
• Positive & positive = positive
• Negative & positive = negative
• Positive & negative = negative
• Negatives are smaller than 0
• Positives are bigger than 0
• Negatives are to the LEFT of 0
• Positives are to the RIGHT of 0
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
How many solutions does the equation 4q + 8 = 6 + 2 + 4q have? (1 point) Two None Infinitely many One
Answer:
b
Step-by-step explanation:
Which represents the solution(s) of the system of equations, y = x2 – 6x 8 and y = –x 4? Determine the solution set by graphing. (1, 3) only (2, 0) and (4, 0) (1, 3) and (4, 0) no solutions.
The solution of the considered system of equation is represented by: Option C: (1,3) and (4,0)
What is a solution to a system of equations?For a solution to be solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at single point(as we need common point, which is going to be intersection of course)(this can be one or many, or sometimes none)
For the considered case, the system of equations given to us is:
[tex]y = x^2 - 6x + 8\\y = -x + 4[/tex]
Plotting both's graph and finding the common points on both's graph, we get the common points as:
(1,3) and (4,0)
These points satisfy both the equations simultaneously.
Therefore, the solution of the considered system of equation is represented by: Option C: (1,3) and (4,0)
Learn more about solutions to a system of equations here:
https://brainly.com/question/2825832
Answer:
c is correct
Step-by-step explanation:
(7, -1) 2. What is the slope of a line that is perpendicular to the line joining point A (9, 9)? and point B
Answer:
-1/5Step-by-step explanation:
Given the point A (9, 9) and B(7, -1)
The slope of the line AB is expressed as:
slope = Δy/Δx
slope = y2-y1/x2-x1
slope = -1-9/7-9
slope = -10/-2
slope = 5
For two lines to be perpendicular, the product of their slope must be -1
mM = -1
M is the slope of the line perpendicular to AB
Substitute m = 5 into the equation
5M = -1
M = -1/5
Hence the slope of a line that is perpendicular to the line joining point A and B is -1/5
Which value is NOT equivalent to the other values?
Answer:
1.5
Step-by-step explanation:
All the other values are .15, 1.5 does not equal .15, so it is not equivalent.
Hopefully this helps- let me know if you have any questions!
Answer:
1.5
Step-by-step explanation:
3/20 =15% =0.15
1.5 is not equivalent to the other values
Susan pushes a box up an inclined plane doing 50 Joules of work. The output work was calculated to be 25 loules. Find the efficiency of this inclined plane
A) 25%
B) 50%
C)100%
D) 200%
hello people ~
factorise: x² + 4x - 77
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]
Let's solve ~ ☂
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + 4x - 77[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + 11x - 7x - 77[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{} (x + 11) -7(x + 11)[/tex]
[tex]\qquad \sf \dashrightarrow \: {}^{} (x + 11)(x - 7)[/tex]
Answer:
x = 7
x = -11
Step-by-step explanation:
x² + 4x = 77
Complete the square to make it a square of a binomial
x² + 4x + 4 = 77 + 4
(x+2)² = 81
Square root both sides (two solutions)
x + 2 = 9
x = 7
x + 2 = -9
x = -11
Hope this helps :)
Have a nice day!
Carter deposits $200 into a new savings account that pays 6% simple interest annually. Reese deposits $200 into a new savings account that pays 6% interest compounded annually. If both Carter and
Reese leave their $200 deposit in their accounts for 6 years, how much more will Reese's deposit eam in interest than Carters deposit
Explain all steps taken to solve the problem
Answer:
$11.70
Step-by-step explanation:
X= starting amount ($200)
R= interest rate (6%)
Y= years (6)
simple interest= [tex]X(1+ r^{y} )[/tex]
compounded interest= [tex]X(1+r)^{y}[/tex]
A right cone is sliced parallel to its base.
What is the shape of the resulting two-dimensional cross section?
A. Circle
B. Rectangle
C. Triangle
Answer:
A
Step-by-step explanation:
The answer is circle because if you slice a cone parallel to the base, the cross section is circle
A Right Cone is sliced parallel to its base the resulting shape is Circle.
What is cone?A cone is a" three dimensional shape consisting one circular shape and once continuous curved surface tapering to a point".
According to the question,
A right cone is slice parallel to its base.
In order to find the resulting shape. When a right cone is sliced parallel to its base it results Circle.
Hence, right Cone is sliced parallel to its base the resulting shape is Circle.
Learn more about Cone here
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. choose the model that represents the division sentence . a rectangle divided into six parts with one part shaded.becomesa rectangle divided into twelve parts with six part shaded. a rectangle divided into six parts with one part shaded.becomesa rectangle divided into twelve parts with two part shaded. a rectangle divided into six parts with one part shaded.becomesa rectangle divided into twelve parts with four part shaded. a rectangle divided into six parts with one part shaded.becomesa rectangle divided into twelve parts with one part shaded.
Answer:
B
Step-by-step explanation:
(-4).(-8) =
Please helpppp
Answer:
32
Step-by-step explanation:
negative times negative = positive
Hey guys please help
Can you please answer this question I need to submit in 30 min please HURRY ASAP PLEASE NEED HELP PLEASE !!!!!!!!!!!
Answer:
The answer is "21"
Step-by-step explanation:
mn + 3r
m = 5
n = 4
r = 1/3
Now just substitute the values given in the question into the equation
5(4) + 3(1/3)
Multiply 5 and 4 to get 20
20 + 3(1/3)
3(1/3) cancels out and becomes 1
20 + 1
Add 20 and 1
21
So "21" is your answer
Mr. Chen purchased a board game for $14 and 6 puzzles. Each puzzle cost the same amount. The total cost was $86. How much did each puzzle cost?
Answer:
$12
Step-by-step explanation:
$86-$14 = $72 that you have left for the 6 puzzles
72÷6 = 12
The value of y is _ more than the value of x
Answer:
The answer is x = y - 30
Step-by-step explanation:
y=31 and x=1, therefore y-30=x