Given:
Admission to the local movie theater is $3 for each child and $7 for each adult.
A group of 12 people pay $64 admission.
To find:
The number of children in a group.
Solution:
Let the number of children be x and number of adults be y.
According to the question,
Total persons : [tex]x+y=12[/tex] ...(i)
Total cost : [tex]3x+7y=64[/tex] ...(ii)
Multiply equation (i) by 7 and subtract the result from (ii).
[tex]3x+7y-7(x+y)=64-7(12)[/tex]
[tex]3x+7y-7x-7y=64-84[/tex]
[tex]-4x=-20[/tex]
Divide both sides by -4.
[tex]x=5[/tex]
Therefore, the number of children is 5.
How does the graph of f(x) = |x| compare with the graph of g(x) = -2|x|
Answer:
the graph of g(x) will be vertically stretched by -2 and it will be steeper
Step-by-step explanation:
Andy divided his one-third jar of equally between 2 projects. What fraction of a jar of paint did Andy use for each project? Explain how to draw a model to find the answer.
Answer:
1/2 of the 1/3 jar of paint is used for each project
Step-by-step explanation:
You are trying to memorize a speech for your public
speaking class. After 1 day, you memorized 200 words. Each
of the following days, you memorized an additional 30
words.
Use the given information to write a linear equation in point-
ten
slope form. Then use the equation to find the number of
words will you have memorized after 8 days.
words
y= 30x + 200 is the linear equation at this location.
After eight days, 440 words have been retained.
What is Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."Ax+By=C is the usual form for two-variable linear equations.y= 30x + 200 x=8 30(8) +200 = 240+200 = 440The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.First-order equations are referred to as linear equations. These equations combine to make a straight line, and the equation y=mx+b, where m stands for the slope, represents a linear equation. In linear equations, one or more variables can be used.To learn more about Linear equation refer to:
https://brainly.com/question/2030026
#SPJ2
Solve for
50
15
None of the above
Other
choose the equation that represents the graph below
Answer:
The third one
Step-by-step explanation:
The slope is negative which means the right side goes down and the y-intercept is 6 which means the line intercepts the point 6 on the y axis.
what cannot be rational??
Answer:
the 4th one
Step-by-step explanation:
Need help anyone know how to do this
At time t minutes, the position of a body moving along the s-axis is s= t cubed - 27t squared + 200t feet. a. Find the body's acceleration each time the velocity is zero.
Step-by-step explanation:
Given the expression for the position of a body moving along the s-axis expressed as;
[tex]s = t^3-27t^2+200t[/tex]
The acceleration of the body function will be gotten by finding the second derivative of the displacement function as shown;
[tex]\frac{ds}{dt} = 3t^2-2(27)t+200\\ \frac{ds}{dt} = 3t^2-54t+200\\\\\\a = \frac{d^2s}{dt^2} = 2(3)t-54\\a = \frac{d^2s}{dt^2} = 6t-54\\[/tex]
First we need to get the time taken when the velocity is zero.
[tex]Given \ v(t) = \frac{ds}{dt} = 3t^2-53t+200\\at \ v(t) = 0\\0 = 3t^2-54t+200\\[/tex]
factorize;
t = 54±√54²-4(3)(200)/2(3)
t = 54±√2916-2400/2(3)
t = 54±√516/6
t = 54±22.72/6
t = 54+22.72/6 and 54-22.72/6
t = 12.79s and t = 5.21s
Get the acceleration;
at t = 12.79
a = 6t-54
a = 6(12.79)-54
a = 76.74-54
a = 22.74m/s²
at t = 5.21
a = 6t-54
a = 6(5.21)-54
a = 31.26-54
a = -22.74m/s²
Hence the body's acceleration each time the velocity is zero are 22.74m/s² and -22.74m/s²
A room is an exclusive Dubai hotel costs $× pe4 night. The price then changes to $4370 per night after a decrease of 5% and a increase of 15%. Find ×
Answer:
The value of x is $4000.
Step-by-step explanation:
Let's call x to the original price per night of a room in the Dubai hotel.
The price first decreased by 5%. Calculate 5% of x:
5 * x / 100 = 0.05x
Now subtract it from the original price:
x - 0.05x = 0.95x
This new price is then increases 15%. Calculate 15% of 0.95x:
15 * 0.95x / 100 = 0.1425x
Add it to the previous price:
0.95x + 0.1425x = 1.0925x
This price is equal to $4370, thus:
1.0925x = 4370
x = 4370 / 1.0925
x = 4000
The value of x is $4000.
Masha’s grandmother lives 250 miles away. How many hours will it take the family to reach grandmother’s house if they are driving at an average speed of 50 miles per hour?
Solve -4t + 5 > 3t − 9 for t.
Answer:
t<2
Step-by-step explanation:
Answer:
t<2
Step-by-step explanation:
i got 260 but it’s wrong lol
Answer:
260 should be correct.
General Formulas and Concepts;
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define expression
6² · (16 + 19) - 10³
Step 2: Evaluate
Parenthesis (Add): 6² · 35 - 10³Exponents: 36 · 35 - 1000Multiply: 1260 - 1000Subtract: 260Answer:
It's 260, maybe the system is wrong?
Step-by-step explanation:
6^2(16+19)-10^3
add the numbers in the parentheses
6^2(35)-10^3
simplify the exponents first
36(35)-1000
1260 - 1000
260
F(x)=-4x^2+10x-8
What is the value of the discriminating of f
Answer:
f(x)=-4x^2+10x-8
Step-by-step explanation:
well x normally equals 1 so replace all X's with 1 and solve
4*1=4 to the power of 2 is 16
10*1=10 subtract 8 equals 2 so
16-2= 14
F(x) is 14
the Y would be 14
Answer:
Here are Both Anwsers
Step-by-step explanation:
HELP DUE ASAP WILL GIVE BRAINLIEST AND 100 POINTS
Answer:
what
Step-by-step explanation:
Answer:
i can't see the photo?!
A computer technician charges $190 for a 3-hour appointment and $370 for a 7-hour appointment. Which of these represents a linear function that models the charge for hiring the technician for x hours?
A y = 55x + 190
B y = 55x + 45
C y = 45x + 190
D y = 45x + 55
Answer:
D. y = 45x + 55
Step-by-step explanation:
If a computer technician charges $190 for a 3-hour appointment and $370 for a 7-hour appointment, we can say that;
when c1 = $190, t1 = 3
when c2 = $370, t2 = 7
c is the amount charged
t is the time taken
First thug is to get the slope;
slope = c2-c1/t2-t1
slope = 370-190/7-3
slope = 180/4
slope = 45
Next is to get the intercept by substituting m = 45 and (190, 3) into the standard form of the equation y = mx+c as shown;
190 = 45(3)+c
190 = 135+c
c = 190-135
c = 55
Substitute into the standard form of the equation;
y = mx+c
y = 45x + 55
Hence option D is correct
In Cary's basketball career, he's made 80% of his free throws, plus or minus 5%. If he attempts 200 free throws this season, what is the range of successful free throws he can expect to make?
Answer:
150 to 170 successful free throws
Step-by-step explanation:
Total % of free throws made = 80%±5%
If attempted number of free throws = 200
Range of successful free throws to expect :
(80% - 5%) of 200 TO (80% + 5%) of 200
75% of 200 TO 85% of 200
(0.75 * 200) TO (0.85 * 200)
150 TO 170
150 - 170 successful free throws
What would this be? PS it's multiple choice.
Answer:
I think it would be A. the first one
Step-by-step explanation:
tell me if it was correct if it wasnt im sorry hope i dont mess u up
WILL MARK BRAINIEST IF RIGHT
(AMC8, 2008) In square ABCE, A F = 2FE and CD = 2DE. What is the ratio of the area △BDF to the area of square ABCE?
A. 1/6 B. 2/9 C. 5/18 D. 1/3 E. 7/20
Answer:
The answer is A
Answer:
C
Step-by-step explanation:
Dr.Nash brought a bushel of corn that weight 50 pounds the bushel contains 100 ears of corns what is the approximate weight in ounces of one ears of corn remember there are 16 ounces of in a pound
Answer: 8 ounces
Step-by-step explanation: You would need to do 50/100=0.5 which would be the weight of the corn in pounds. If one pound equals 16 ounces and 0.5 is half of 1 you would get 8 ounces.
Sally sim Tim and joah each have 14 baseball cards sam has 20 Pokemon cards how many baseball cards do they have in all
Answer: 14
Step-by-step explanation: Pokémon cards are different than baseball cards and are two different things.
4(c + 3) = t
solve for c
Answer:
c=1/4t-3
Step-by-step explanation:
how much is the arc of a circle if the angle is 70°
Answer:
siriously i dont know cuz im learning this in maths
area
perimeter
arc
Answer:
We also know that the sum of the measures of arcs AD, AB, CD, and BC must be 360 degrees, because there are 360 degrees in a full circle. Because AD = 2AB, we can substitute 2AB for AD. This means the measure of arc AB is 70 degrees, and the measure of arc AD is 2(70) = 140 degrees.
Step-by-step explanation:
hope that helps u
Carmen was scuba diving 115 feet below the surface of the ocean. She swam up 20 feet to
look at a colorful school of fish.
What is Carmen's position now relative to the surface of the ocean?
feet
Answer:
-115+20= -95 so, carmen is scuba diving 95 feet below surface level
Step-by-step explanation:
below surface level means negative
Answer:
The answer: - 95 DON'T FORGET THE NEGATIVE SIGN!
Step-by-step explanation:
Line / has a ???
slope.
Answer:
this is a positive slope
Step-by-step explanation:
hope this helps
will put brainliest plzzzzzz help 2+2+3+8+6+7+4times2
Answer:
uh 36
Step-by-step explanation:
did you really need this answer or did u just felt like giving away points
The sum of 2 integers is -1. Their product is -12. What are the integers?
Answer:
-4 and 3
Step-by-step explanation:
-4+3 would equal -1.
Then, -4*3 would be -12.
What is an equation of the line that passes through the points (4,1) and (8, -3)?
O A. y = x - 3
O C. y = -x + 3
B. y = x - 11
OD. y = -x + 5
Isaiah and his children went into a grocery store and he bought $10 worth of apples and bananas. Each apple costs $2.50 and each banana costs $0.50. He bought a total of 8 apples and bananas altogether. By following the steps below, determine the number of apples, x,x, and the number of bananas, y,y, that Isaiah bought.
Answer:
x=3
y=5
Step-by-step explanation:
x+y=8
x=8-y
2.5(8-y)+0.5y=10.00
20-2.5y+0.5y=10.00
20-2y=10
-2y=-10
-y=5
y=5
Replace y with 5:
x+y=8
x+5=8
x=3
In a parking lot with 600 Japanese, European and American cars, 50% are American. There are 30 fewer Japanese cars than American cars . How many more Japanese cars are there than European cars?
HALP MEEEE
Alice, Maggie, Luna, and Zeinab were making necklaces for the school fair. Alice made 52 necklaces that are each 8.2 inches long. Maggie made 46 necklaces that are each 7.8 inches long. Luna made 21 necklaces that were each 7.7 inches long. And Zeinab made 31 necklaces that were each 8.7 inches long. They all used beads that were each 2 centimeters long. how much beads would the girls use to fit all of the necklaces they made?
Alice:_______
Maggie:_______
Luna:_______
Zeinab:_______
Answer:
Alice: 2184
Maggie:1794
Luna:798 this one is weird cause it has a decimal but u cant have a fraction of a bead so i left it out
Zeinab:1333 same with this one
Step-by-step explanation: