Answer:
Step-by-step explanation:
2x+4y+24
3x+3y=21
Students and adults purchased tickets for a recent school play. All tickets were sold at the ticket booth (discounts of any type) were not allowed.
Student tickets cost $8 each, and adult tickets cost $10 each. A total of $1,760 was collected. 200 tickets were sold.
a. Write a system of equations that can model the number of student and adult tickets sold at the ticket booth for the play.
b. Solve the system you create to find the exact number of student tickets sold and adult tickets sold.
c. Assuming that the number of students and adults attending would not change, how much more money could have been collected at the play if the student price was kept at $8 per ticket and adults were charged $15 per ticket instead of $10?
Answer:
a. (A + S = 200), (8S + 10A = 1760)
b. The school play sold 80 adult tickets, and 120 student tickets.
c. 400$ more would have been collected if the school charged 15$ per ticket instead of 10$
Step-by-step explanation:
a. To begin with, we can refer to S as student tickets, and A as adult tickets. We know that 200 tickets were sold, so we can say that (A + S = 200). We can also say that (8S + 10A = 1760).
b. We can twist the first system of equations and put one variable on the other side. It'll be (A = 200 - S). From there, we will substitute A in the second system of equations. The equation will be
(8S + 10(200 - S) = 1760)
Then you solve for S
(8S + 2000 - 10S = 1760)
-2S = -240
S = 120
Substitute for S in the first system of equations
A = 200 - 120
A = 80
or the second
8(120) + 10A = 1760
960 + 10A = 1760
10A = 800
A = 80
This means that the school play sold 80 adult tickets, and 120 student tickets.
c. (8S + 15A = X)
8(120) + 15(80) = X
X = 2160
2160 - 1760 = 400
400$ more would have been collected if the school charged 15$ per ticket instead of 10$
hey cutie pls help me !!
Triangle ABC is congruent to triangle A′′B′′C′′ . Which sequence of transformations could have been used to transform triangle ABC to produce triangle A′′B′′C′′ ? Triangle ABC was translated 10 units right and then reflected across the x-axis. Triangle ABC was reflected across the y-axis and then translated 7 units down. Triangle ABC was reflected across the x-axis and then translated 9 units right. Triangle ABC was translated 7 units down and then 9 units right. A coordinate graph with triangle A B C and triangle A double prime B double prime and C double prime. Triangle A B C has points at A begin ordered pair negative 6 comma 2 end ordered pair, B begin ordered pair negative 3 comma 6 end ordered pair, C begin ordered pair negative 3 comma 2 end ordered pair. Triangle A double prime B double prime C double prime has points at A double prime begin ordered pair 6 comma negative 5 end ordered pair, B double prime begin ordered pair 3 comma negative 1 end ordered pair, C double prime begin ordered pair 3 comma negative 5 end ordered pair.
Answer:
The answer is B
Step-by-step explanation:
Triangle ABC was reflected across the y-axis and then translated 7 units down.
Joey sells mangoes. Jimmy sells oranges. For every 16 mangoes Joey sells, Jimmy sells 6 oranges. How many mangoes were sold at the end of the week if Jimmy sold 144 oranges?
The answer is 384 mangoes I hope it is helpful.
In the diagram, AP is a tangent and PBC is a secant in a circle O. If PC = 12 and BC = 9, what is AP?
Answer:
6
Step-by-step explanation:
AP^2 = PC * PB
We have PC and BC. We need PB.
PC = 12
BC = 9
PB + BC = PC
PB + 9 = 12
PB = 3
AP^2 = 12 * 3
AP^2 = 36
AP = 6
Answer: 6
Answer:
Hey!
AP will be 6cm.Step-by-step explanation:-
to solve this, the equation PB X PC = [tex]AP^{2}[/tex] can be used
In the ques, its given that PC= 12cm and BC = 9.
To solve this, WE NEED TO FIND PB, SO:-
PB + BC = PC
PB + 9 = 12
PB = 3cm.
Now, we can substitute this in the equation:- PB X PC = [tex]AP^{2}[/tex]
[tex]AP^{2}[/tex] = PB x PC
[tex]AP^{2}[/tex] = 3 X 12
[tex]AP^{2}[/tex] = 36
AP = [tex]\sqrt{36}[/tex]
AP = 6cm.Ms.sosa's principal gave her $350 to spend on school supplies at the beginning of the year she bought 10 packs of dry erase marker for 9.98 each and 15 pre sharpened pencil that cost 12.99 each how much does she have left to spend
Answer:
I am sooo sorry I really need the points
Step-by-step explanation:
Soooo sorry
Answer:
$55.35
Step-by-step explanation:
10 x 9.98 = 99.80
15 x 12.99 = 194.85
350 - 194.85 = 155.15
155.15 - 99.80 = 55.35
Is 301 in the sequence below?
-9, -5,-1,3,7,...
Answer:
no
Step-by-step explanation:
Establish the nth term formula
There is a common difference d between consecutive terms, that is
d = - 5 - (- 9) = - 1 - (- 5) = 3 - (- 1) = 7 - 3 = 4
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 9 and d = 4 , then
[tex]a_{n}[/tex] = - 9 + 4(n - 1) = - 9 + 4n - 4 = 4n - 13
Equate 4n - 13 to 301
4n - 13 = 301 ( add 13 to both sides )
4n = 314 ( divide both sides by 4 )
n = 78.5
Since n is not an integer then 301 is not in the sequence
301 doesn't belong to the sequence -9, -5,-1,3,7,...
What is A.P sequence?An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
The arithmetic sequence is given by a, a + d, a + 2d, a + 3d, … .
Hence, the formula to find the nth term is:
[tex]a_{n}[/tex] = a + (n – 1) × d.
where,
a = first term
d = common difference
n = number of terms
[tex]a_{n}[/tex] = nth term
According to the question
Sequence : -9, -5,-1,3,7,...
First term (a)= -9
common difference (d)= -5 - (-9)
= 4
[tex]a_{n}[/tex] = 301
using the formula of nth term
[tex]a_{n}[/tex] = a + (n-1)d
Substituting the value
301 = -9 + (n-1) 4
310 = (n-1) 4
77.5 = (n-1)
n = 78.5
as n always to be the whole number .
Hence, 301 doesn't belong to the sequence -9, -5,-1,3,7,...
To know more about A.P sequence here:
https://brainly.com/question/24205483
#SPJ3
what is the solution set for the equation 2x^2-8x-42=0
Answer:
x=−3 or x=7
Step-by-step explanation:
Step 1: Factor left side of equation.
2(x+3)(x−7)=0
Step 2: Set factors equal to 0.
x+3=0 or x−7=0
x=−3 or x=7
Answer:
(-3,7)
Step-by-step explanation:
Find two numbers that multiply to 16 and also add to -8
Answer:
-4,-4
Step-by-step explanation:
let the numbers be x and y.
x+y=-8
y=-x-8
xy=16
x(-x-8)=16
-x²-8x=16
x²+8x+16=0
x²+4x+4x+16=0
x(x+4)+4(x+4)=0
(x+4)(x+4)=0
x=-4,-4
George is 6 feet tall and his shadow measured 8 feet long at noon. At the same time, a nearby flagpole cast a 40-foot shadow. What is the height of the flagpole? *
Answer:
42 I think LOL
Each year, Malcolm earns 120 hours of vacation time at his job. There are 52 weeks in a year.
What is the approximate number of hours of vacation time that Malcolm earns each week?
Answer:
2.3 hours per week
Step-by-step explanation:
I WILL GIVE BRAINIEST!! TO THE CORRECT ANSWER TO FILL IN THIS BOX I ONLY GET THE OPTION WITH A COUPLE OF ANSWERS!
Answer:
Step-by-step explanation:
The third one is
(10^3)^4 and equals 10^12
the 4th one is (10*10*10*10)(10*10*10*10) or 10^8
the last one is (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10)
or 10^88
Nicole purchased a package of 5 coconut cookies. The total weight of the cookies was 0.5 ounces. How many did each cookie weigh
Answer:
0.1 ounce
Step-by-step explanation:
5 cookies = 0.5 ounces
1 cookie = 0.5 / 5 = 0.1 ounce
M {-5,2} and N {5,2} are the endpoints of the segment MN on the coordinate plane what is the length of MN?
Answer:
Length MN = 10 unit
Step-by-step explanation:
Given: M {-5,2} and N {5,2} are the endpoints of the segment MN.
Length of line segment having co-ordinates as
[tex](x_1, y_1) and (x_2, y_2)[/tex]
is calculated as
[tex]D =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
So plugging the values in above equation we get
[tex]D =\sqrt{(5+5)^2+(2-2)^2}[/tex]
D = 10 unit
Therefore, Length MN = 10 unit
20 mi
12 mi
b
What is the length of the missing leg?
Answer:
13
Step-by-step explanation:
thats my answer byusing calculato
what is the answer to 4x+7=-2+4x
0=(-9)
Step-by-step explanation:
4x + 7 = -2 + 4x
4x + 7 = 4x -2
subtract 7 from both sides of the equation.
simplify your answer.
subtract 4x from both sides of the equation.
simplify your answer again.
4x + 7 = 4x -2
___-7 = 4x -7
4x __ = 4x -9
__4x = 4x -9
-4x = -4x -9
__0 = -9
the input is a contradiction: it has no solutions.
HELP PLEASE PLEASE!
18.) Savings: You have decided to put 12% of your weekly paycheck into a
savings account. You made $85.50 las week. How much did you put into
the savings account? *
$12.26
$8.55
$10.26
Other:
Answer:
$10.26
Step-by-step explanation:
....................
Answer:
712.5
Step-by-step explanation:
Sue has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area of the polygon. Be sure to show all your work and explain your answer. Six-sided polygon that includes two isosceles right triangles, one with height and base of 25 feet, the other height and base of 8 feet, and one rectangle measuring 35 feet by 8 feet.
Answer:
Step-by-step explanation:
700.5
Which rule is correct for translation 2 units right and 6 units down
Answer:
(x + 2, y - 6)
Step-by-step explanation:
When you go right or up it is in the positive.
When you go left or down it is in the negatives.
Answer:
[see below]
Step-by-step explanation:
Two units to the right is adding 2 together to the x value.
6 units down is subtracting 6 from the y-value.
The rule should be:
[tex](x,y)\rightarrow(x+2,y-6)[/tex]
Hope this helps.
If y=−3, then
4y
4+y
=
Answer:
if Y=-3 and 4y is the equation then the answer is -27
Answer:
4y=-12
4+y=1
Step-by-step explanation:
when y=-3
then you substitute the value of y into the questions
4(-3)=
4×-3
=-12
4+y
4+(-3)
we know that plus(+) multiplied by(×) minus(-) is equal to(=) minus(-)
so therefore,
4-3
=1
Round 74,606.4 to the nearest whole number
Answer:
75000
Step-by-step explanation:
Tom is told by his doctor that he needs to lose 15 pounds if Tom now it's 285 pounds then by what percentage should Tom's week decrease
Answer:
the percentage is 5.56%
Step-by-step explanation:
The computation of the percentage that the tom should decrease is shown below:
As Doctor said tom to reduce 15 pounds
As of now the tom has 285 pounds
So after considering the 15 pounds, it would be
= 285 - 15
= 270 pounds
Now the percentage that should be considered is
= (285 - 270) ÷ (270)
= 5.56%
Hence, the percentage is 5.56%
HELP giving brainlest
Answer:
It should be "there ARE 254 counties in texas..."
Step-by-step explanation:
is the wrong one it should be are
Step-by-step explanation:
find the area of the circle.
Answer:
78.5 cm^2
Step-by-step explanation:
1, find the radius (half a diameter) R = 5
3.14 * 5^2
3.14 * 25 = 78.5
In ΔIJK, i = 340 cm, ∠I=120° and ∠J=59°. Find the area of ΔIJK, to the nearest 10th of a square centimeter.
The area of triangle IJK is 999.8 square centimeters
The given parameters are:
[tex]\angle I = 120^o[/tex]
[tex]\angle J = 59^o[/tex]
[tex]i = 340cm[/tex]
Start by calculating the length of side j using the following sine ratio
[tex]\frac{i}{\sin(I)} = \frac{j}{\sin(J)}[/tex]
Make j the subject of the formula
[tex]j = \sin(J) \times \frac{i}{\sin(I)}[/tex]
Substitute known values
[tex]j = \sin(59) \times \frac{340}{\sin(120)}[/tex]
Evaluate the expression
[tex]j = 337[/tex]
Next, calculate angle K using the following sum of angles formula
[tex]\angle I + \angle J + \angle K =180[/tex]
Substitute known values
[tex]120 + 59 + \angle K =180[/tex]
[tex]179 + \angle K =180[/tex]
Subtract 179 from both sides
[tex]\angle K =1[/tex]
The area of the triangle is:
[tex]Area = \frac{1}{2} ij \times \sin(K)[/tex]
So, we have:
[tex]Area = \frac{1}{2} \times 340 \times 337 \times \sin(1)[/tex]
Evaluate
[tex]Area = 999.8[/tex]
Hence, the area of triangle IJK is 999.8 square centimeters
Read more about areas at:
https://brainly.com/question/2391510
Find X ( please explain how)
Answer:
90
Step-by-step explanation:
(5-2)x180= 540 formula to find the sum of interior angles of a polygon
180-70 = 110 lower right angle
180 -60 = 130 lower left angle
110+130+120+90= 450 all known angles sum
540-450 = 90 total minus known gives you x
Daniel says that more than half the students spent 2 1 2 hours or more on homework. Liz says more than half the students spent less than 2 1 2 hours on homework. Who is correct? Explain.
Answer:
Liz is correct
Step-by-step explanation:
Given
See attachment for complete question
Required
Who is correct? Daniel or Liz
From the attached data, we have:
[tex]Time: 1\frac{3}{4},\ 2\frac{1}{2},\ 2,\ 2\frac{3}{4},\ 1,\ 1\frac{3}{4},\ 1\frac{1}{4},\ 3,3\frac{1}{4},\ 3\frac{3}{4},\ 2,\ 2[/tex]
The total number of students is:
[tex]n = 12[/tex]
The data that represents [tex]2\frac{1}{2}[/tex] or more is:
[tex]Time: 2\frac{1}{2},\ 2\frac{3}{4},\ 3,3\frac{1}{4},\ 3\frac{3}{4}[/tex]
The frequency of this is 5
The frequency that represents [tex]2\frac{1}{2}[/tex] or less will be 7
This means that less than half spend [tex]2\frac{1}{2}[/tex] or more
and more than half spend [tex]2\frac{1}{2}[/tex] or more
Hence, Daniel is incorrect. Liz is correct
Using all my points for this. Sorry for making somebody have to do this but I have to do some other homework on the side that I need completed by today so I can't afford lose any time so please it would be a big help if somebody did this! Thank You!
Answer:
I am busy but all the questions from 1 to 6 just add the measure of 2 angles which are given and then subtract it from 180, you will get the measure of the remaining angle.
7.
8.: 180/3
9. x = 5
10. i dont know
i dont know = no time....
Step-by-step explanation:
ITS TIMED... please help. f(x) = -3x - 4
h(x) = 11 + 7x
Using the functions defined above, find the following:
f(x) + h(x)
Answer:
4x+7 I believe but it could be wrong
Which of the following inequalities is equivalent to – 9 <4(x - 3)?
Answer:
x>3/4
Step-by-step explanation: