Complete question :
Admission rate at local aquarium :
Ticket ________ Price
Children _______ $9
Adult __________ $15
Mr.Reilly spent $90 on tickets to the aquarium. Write an equation in standard form to represent the situation
Answer:
y = 6 - (9/15)x
Step-by-step explanation:
The amount spent = [(rate of children ticket * number of children ticket obtained) * rate of adult ticket * number of adult ticket purchases)]
Let :
number of chikdren ticket = x
Number of adult ticket = y
(15 * y) + (9 * x) = 90
15y + 9x = 90
15y = 90 - 9x
Divide through by 15
y = 6 - (9/15)x
Company A manufactures and sells gidgets. The owners have determined that the company has the monthly revenue and cost functions shown, such that x represents the number of gidgets sold.
R(x) = 16x
C(x) = 12x + 1,424
At what number of gidgets sold will the company break-even (the point where revenue equals cost)?
A.
480 gidgets
B.
51 gidgets
C.
356 gidgets
D.
119 gidgets
Answer:
Option C. 356 gidgets
Step-by-step explanation:
we have R(x) ----> the monthly revenue function C(x) ---> the monthly cost function x ----> the number of gidgets sold we know that Break-even means that the revenue equals cost so solve for x
The school that Kathryn goes to is selling tickets to a spring musical. On the first day
of ticket sales the school sold 12 senior citizen tickets and 14 student tickets for a total
of $132. The school took in $108 on the second day by selling 12 senior citizen tickets
and 10 student tickets. What is the price each of one senior citizen ticket and one
student ticket?
Answer:
Senior citizen ticket = $4, student ticket = $6
Step-by-step explanation:
To do this, form a system of equations where x = the cost for a senior citizen ticket and y = the cost for a student ticket.
Since 12 senior citizen tickets and 14 students tickets cost $132, you get
12x + 14y = 132.
Since 12 senior citizen tickets and 10 students tickets cost $108, you get
12x + 10y = 108.
You can subtract those two equations, so
12x + 14y = 132
-(12x + 10y = 108)
and you get
4y = 24
divide both sides by 4
y = 6
substituting into the equation 12x + 10y = 108,
12x + 10(6) = 108
12x + 60 = 108
subtract 60 from both sides
12x = 48
divide both sides by 12
x = 4
A senior citizen ticket costs $4 and a student ticket costs $6.
Anybody know this? I’m not sure how to do it at all.
Answer:
1. 70°
2. 42°
Step-by-step explanation:
they are both isosceles Triangles as both diagrams state that they have two sides the same length. therefore their base angles will be equal.
1. 55 + 55 = 110
180 - 110 = 70°
2. 180 - 96 = 84
84/2 = 42°
Pls help I’ll mark u brain
Answer:
A: y=6x
B: A
Step-by-step explanation:
A: Rise over run
B: You can use the points to determine the answer, 6(2)=12 (2,12) 6(3)=18 (3,18)
-21(31 -4)+75 simplified expression
Answer:-492
Step-by-step explanation:
1. calculate within parentheses (31-4):27
=-21 x 27 +75
2.multiply and divide(left to right) -21 x 27:=-567
=-567+75
3. add and subtract (left to right)-567+75:-492
=-492
(5+6b^3)^2 expand and combine like terms
Answer:
(5+6b^3)(5+6b^3)
25+30b^3+30b^3+36b^6
36b^6+60b^3+25
I hope this helps:
A runner completed a 26.2 mile marathon in 210 minutes the unit rate is about how many mile per minute
Write all integers between:
a. -17 and -12
b. -1 and -6
Answer:
look at explanation
Step-by-step explanation:
a) -13,-14,-15,-16
b) -2,-3,-4,-5
help math asap I need help pls
Answer:Ana is correct because 8/20=2/5
Step-by-step explanation:
pleaseee help 5 mins due The dependent variable, g, represents the gas mileage for a vehicle. Select all the variables that can represent an independent variable in this situation.
The color of the interior
The age of the vehicle
The horsepower of the engine
The weight of the vehicle
The dealership where the vehicle was purchased
Answer:
age, horsepower, weight
Step-by-step explanation:
Answer:
the age, horsepower of engine, and weight
Step-by-step explanation:
the interior and place you purchased it has nothing to do with the gas mileage.
Here is a cuboid.
H Н.
G
31.5 cm
E
F
с
36 cm
А
27 cm
B
Calculate the size of angle CAG.
Answer:
m(∠CAG) = 35°
Step-by-step explanation:
From the figure attached,
Apply Pythagoras theorem in ΔCAG,
Length of AC = [tex]\sqrt{(27)^2+(36)^2}[/tex]
= [tex]\sqrt{729+1296}[/tex]
= [tex]\sqrt{2025}[/tex]
= 45
Now find the tangent of the given angle CAG,
tan(∠CAG) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{CG}{AC}[/tex]
m(∠CAG) = [tex]\text{tan}^{-1}(\frac{31.5}{45} )[/tex]
= [tex]\text{tan}^{-1}(0.7)[/tex]
= 34.992°
≈ 35°
What is X? HELP I NEED ANSWERS!
Answer:i think x=141
Step-by-step explanation:i agree
Answer:
Hope it helped
Step-by-step explanation:
Systems of equations with different slopes and different y-intercepts have one solution. (5 points)
Always
Sometimes
Never
Answer:
Always, Have a great day/night!
Always
give me brainliest and mark 5 stars or ur meany
Given that
R=8x+6y
Find x when
y=2 and R=16
Give your answer as a fraction in its simplest form.
Answer:
x = ½
Step-by-step explanation:
16=8x+6×(2)
16=8x + 12
16 - 12= 8x
4 = 8x
x= 4/8
x = ½
If I were to say hours divided by miles, would the answer be miles per hour or hour per miles?
Answer:
You would say miles per hour.
does anyone know how to do this ?
Answer:
∠J is 68
Step-by-step explanation:
Let x be ∠J and y be ∠L
x=3y+2
x=90-y
90-y=3y+2
4y=88
y=22
x=90-22
x=68
Given the ordered pairs (3, -8) and (-1, -2), use the slope formula to find the slope.
Answer:
Step-by-step explanation:
Hello : let A(3,-8) B(-1,-2)
the slope is : (YB - YA)/(XB -XA)
(-2+8)/(-1-3) = 6/-4 =-3/2
Molly has enough paint to cover an area of 250 ft.² she wants to paint to walls the rectangle or wall is 8 feet high and 30 feet wide the square wall has a height of 9 feet does Molly have enough paint to cover the area of both walls?
Answer:
Step-by-step explanation:
Area of rectangle = length x width
Area of square = side x side
Given: Dimension of rectangular wall: 8 feet high and 30 feet wide
Area of rectangular wall = 8 feet x 30 feet = 240 ft²
Height of square wall = 9 feet
Area of square wall = 9 x 9 ft² = 81 ft²
Total area need to paint = 240 ft²+ 81 ft² = 321 ft² > 250 ft.²
i.e. Molly does not have enough p[aint to cover both walls.
a pet store sold 16 lb of fish food in 4 days what are the unit ratios in days per pound and pound per day
descripcion de isoceles triangulos
What is the slope of this linear equation: y=5x-10
Answer:
slope=5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
The product of 4 and a
number minus 10 equal -34
Answer:
-6
Step-by-step explanation:
4(-6) - 10=-34
MARKING BRAINLIST!! A circular railroad crossing sign has a diameter of 40 inches. Which measurement is closest to the area of the sign in square inches?
A. 12.56 in
B. 62.8 in
C. 31.4 in.
D. 314 in.
Answer:
Step-by-step explanation:
Area of the circleis,
A=3.14 x r^2
d=40 in, r=20 in
A=20x20x3.14=400x3.14=1256 in^2
State true or false:
a. If the fifth class interval is 70-75, fourth class interval is 65-70, then the first
class interval is 50-55.
b. The height of a rectangular bar in a histogram shows the frequency.
c. A graphical representation showing the relationship between a whole and
its parts is a line graph.
Find the value of x please
Answer:
x=12
Step-by-step explanation:
24÷(27÷9)=6x
x=12
Can someone help me with this.
Answer:
C
Step-by-step explanation:
The secant- secant angle SPR is half the difference of the intercepted arcs, that is
55° = [tex]\frac{1}{2}[/tex] (RS - QT ) ← multiply both sides by 2
110° = RS - QT = RS - 50° ( add 50° to both sides )
160° = RS → C
hii pls help i’ll give you brainliest if you give a correct answer.
Answer:
Step-by-step explanation:
How many 3/8 are in 5/4? We can set this number as x. Therre are x number of 3/8 that make up 5/4:
Therefore the PART A is: x* 3/8 = 5/4
On the other hand, 5/4 / 3/8 = x (this is just the reverse of what I mentioned earlier)
I hope this helps! :)
There are 4,500 apples which are packed in 15 boxes. How many apples are there in each box?
Answer:
300 apples
Step-by-step explanation:
4500/15 = 300 apples
Answer: 300
Step-by-step explanation:
[tex]x^{3}[/tex] - 9
can you please also explain how you factored it?
Answer:
x(x+3)(x-3)
Step-by-step explanation:
x(x+3)(x-3)
x(x²-9)
x³-9
Distribute
5
(
−
9
x
2
−
2
x
)
.
5(−9x
2
−2x).
Answer:
11. Factoring and solving equations
- A. Factor-
1. Factor 3x2 + 6x if possible.
Look for monomial (single-term) factors first; 3 is a factor of both 3x2
and 6x and so is x . Factor them out to get
3x2 + 6x = 3(x2 + 2x1 = 3x(x+ 2) .
2. Factor x2 + x - 6 if possible.
Here we have no common monomial factors. To get the x2 term
we'll have the form (x +-)(x +-) . Since
(x+A)(x+B) = x2 + (A+B)x + AB ,
we need two numbers A and B whose sum is 1 and whose product is
-6 . Integer possibilities that will give a product of -6 are
-6 and 1, 6 and -1, -3 and 2, 3 and -2.
The only pair whose sum is 1 is (3 and -2) , so the factorization is
x2 + x - 6 = (x+3)(x-2) .
3. Factor 4x2 - 3x - 10 if possible.
Because of the 4x2 term the factored form wli be either
(4x+A)(x +B) or (2x+A)(2x+B) . Because of the -10 the integer possi-
bilities for the pair A, B are
10 and -1 , -10 and 1 , 5 and -2 . -5 and 2 , plus each of
these in reversed order.
Check the various possibilities by trial and error. It may help to write
out the expansions
(4x + A)(x+ B) = 4x2 + (4B+A)x + A8
1 trying to get -3 here
(2x+A)(2x+B) = 4x2 + (2B+ 2A)x + AB
Trial and error gives the factorization 4x2 - 3x - 10 - (4x+5)(x- 2) .
4. Difference of two squares. Since (A + B)(A - B) = - B~ , any
expression of the form A' - B' can be factored. Note that A and B
might be anything at all.
Examples: 9x2 - 16 = (3x1' - 4' = (3x +4)(3x - 4)
x2 - 29 = x2 - (my)* = (x+ JTy)(x- my)
For any of the above examples one could also use the
