Answer: The price of an adult ticket = $6
The price of a student ticket = $12
Step-by-step explanation:
Let the price of an adult ticket be a
Let the price of a student ticket be b.
From the question,
5a + 14b = 198 ...... equation i
10a + 8b = 156....... equation ii
Multiply equation i by 10
Multiply equation ii by 5
50a + 140b = 1980 ...... equation iii
50a + 40b = 780 ....... equation iv
Subtract iv from iii
100b = 1200
b = 1200/100
b = 12
Put the value of b into equation ii
10a + 8b = 156
10a + 8(12) = 156
10a + 96 = 156
10a = 156-96
10a = 60
a = 6
The price of an adult ticket = $6
The price of a student ticket = $12
Adrianna has a piece of fabric in the shape of a parallelogram.
What is the area of this parallelogram?
32 in²
64 in²
96 in²
128 in²
96 in² I think
Make the triangles into a rectangle, find the area and add it to the original square
Answer: 96 in²
Step-by-step explanation: The parallelogram is comprised of two triangles and one square. You could solve this one of two ways.
1) Find the area of the total parallelogram. The area is b*h, where b is the base and h is the height. The base will ALWAYS be the sum of whatever is on the bottom. In this model, we have 4" and 8", meaning b=12". Now, the height is 8" as seen by the vertical line connecting the top and bottom of the figure. 12 times 8 is 96 inches squared.
2) Find the area of the square and two triangles. The area of a triangle is 1/2*b*h, where b is the base (4") and h is the height (8"). Seeing as we have two triangles, we can do this twice, getting 0.5*4*8 + 0.5*4*8 (1/2 is the same as 0.5 btw). 32 inches squared is for the two triangles. Finally, you need to find the square. To review, the area of a square is s^2, so 8*8 is 64. 64+32 is 96 inches squared.
please please help me!
Answer:
D: -5,-2,1,5
R:10,11,4,
Step-by-step explanation:
The domain is the set of all the values of x.
The range is the set of all the values of y
Y is the midpoint of XZ and W is the midpoint of VX.
If VZ=s+52 and WY=7s, what is the value of s?
Answer:
4
Step-by-step explanation:
By the triangle midsegment theorem, 2(YW)=VZ.
This means 2(7s)=s+52, meaning s=4.
2. A Cylindrical hot water tank is closed at both ends. The radius of the tank is 0.5m and the height is 0.75.calculate i. The volume of the Cylinder it. The total surface area of the tank (take π =22 out of 7
Answer:
Volume = 0.59 m³
Surface Area = 3.93 m²
Step-by-step explanation:
Given :-
- Radius = 0.5 cm
- Height = 0.75 cm
To Find :-
- Volume
- Surface Area
Solving :-
Volume = πr²h
= 22/7 x (0.5)² x 0.75
= 22/7 x 1/4 x 3/4
= 66/112
= 33/56 m³
= 0.59 m³
Surface Area = 2πr (r + h)
= 2 x 22/7 x 0.5 (0.5 + 0.75)
= 22/7 x 5/4
= 110/28
= 55/14 m²
= 3.93 m²
Solution :-
Volume = 0.59 m³
Surface Area = 3.93 m²
Answer:
1. Formula for volume of a cylinder;
V = πr^2h
where pi is 3.14 or 22/7, r is the radius(0.5) which is squared, and h is the height
plug in the actual values;
V = πr^2h
V = 3.14 * 0.5^2 * 0.75
V = 3.14 * 0.25 * 0.75
V = 0.785 x 0.75
V = 0.58875^3 meters or 0.59^3 meters, is the volume. (round to whatever place they covet)
2. Formula for surface area of a cylinder;
SA = 2πr(r + h)
Plug in the actual values:
SA = 2πr(r + h)
SA = 2 x 3.14 x 0.5(0.5 + 0.75)
SA = 2 x 3.14 x 0.5(1.25)
SA = 2 x 3.14 x 0.625
SA = 3.925 meters or 3.93 meters is the surface area.
Communicate Mathematical Ideas Find the area of the figure. Explain how you found your answer. 10 ft 16 ft 12 ft 18 ft
I'm confused
Explanation:
The trapezoid has area of
A = h*(b1+b2)/2
A = 6*(10+18)/2
A = 84
The rectangle is 18 ft by 12 ft, which leads to an area of 18*12 = 216 sq ft.
Adding the two sub-areas gets us: 84+216 = 300
The total area of the house-shaped figure is 300 sq ft.
5c+16.5=13.5+10c
solve for c
Answer:
c = 3/5
Step-by-step explanation:
5c+16.5=13.5+10c
Subtract 5c from both sides:
13.5+5c=16.5
5c=3
c = 3/5
-5 – 3(x – 8) = -5x + 19
Answer:
[tex]x=0[/tex]
Step-by-step explanation:
Given the following question:
[tex]-5 - 3(x - 8) = -5x + 19[/tex]
To find the answer expand the equation, add/subtract on both sides, and simplify the expression.
[tex]-5 - 3(x - 8) = -5x + 19[/tex]
[tex]-5-3(x-8)=-3x+19[/tex]
[tex]-3x+19=-5x+19[/tex]
[tex]19-19=0[/tex]
[tex]19-19=0[/tex]
[tex]-3x=-5x[/tex]
[tex]-3x+5x=-5x+5x[/tex]
[tex]-3x+5x=2x[/tex]
[tex]2x=0[/tex]
[tex]2x\div2=x[/tex]
[tex]0\div2=0[/tex]
[tex]x=0[/tex]
Your answer is "x = 0."
Hope this helps.
Find the sum.
48 + 45 + 42+. +(-81) + (-84)
Answer:
-810
Step-by-step explanation:
I found the answer but this is correct for khan
a map has a scale of 1 inch = 16 miles. What is the actual distance if the distance on the map is 9 3/4 inches
Answer:
156 miles
Step-by-step explanation:
For every inch, you will have 16 miles
So if you have 9 3/4 inches you can just multiply that with 16
9 3/4*16=156
Our answer is 156 miles
find 90% of 650 ........
explain if possible
Answer:
585
Step-by-step explanation:
650/10 = 65 (10%)
65 * 9 = 585
Clair grows berries. A flock of birds comes to her field every day and eats berries. Clair plays loud recordings of a different animal each day to scare the birds, but none have helped so far. One day Clair played a recording of loud eagle calls, and the birds never came to her field.
What could be inferred?
A. The flock ate berries from a different fleld.
B. The flock migrated south
C. The flock was scared away by the eagle calls.
D. The flock may have wanted to share the berries with the eagles.
E. The flock Is afraid of all loud animal calls.
Please help me out!
A recipe for pasta dough says, “Use 150 grams of flour per large egg.” How much flour is needed if 6 large eggs are used?
Answer:900g
Step-by-step explanation:
150*6=900
Answer:
900 grams of flour
Since you already know that 150 grams of flour is used for one large egg
Just do 150×6 and that will give you the answer of 900.
I hope that helps :)
Which of the following statements about parallelograms are true?
Select all that apply.
options:
All parallelograms have 4 right angles.
All parallelograms have rotational symmetry of 90°.
All parallelograms have rotational symmetry of 180°.
A rectangle is a parallelogram.
All parallelograms have exactly 4 lines of symmetry.
Answer:
All parallelograms have 4 right angles.
All parallelograms have rotational symmetry of 180°.
A rectangle is a parallelogram.
Step-by-stepStep-by-step explanation:
let me know if im wrong......have a good day!!!! :)
A, B & C form the vertices of a triangle.
∠ CAB = 90°,
∠ ABC = 46° and AB = 9.2.
Calculate the length of AC rounded to 3 SF.
PLEASE HELP!
The diameter of a bicycle wheel is 26 inches. how many feet will the bicycle travel if the wheel turns 20 times?
Answer:
163.1 feets bicycle will move in 20 revolution
Step-by-step explanation:
Given:-
Diameter of bicycle wheel is 26 inchThen the radius will be 13 inch
Solution:-
One revolution = Perimeter of bicycle wheel
Perimeter of bicycle wheel :-
= 2πr
= 2×22/7×13
81.7 inch
Total feets the bicycle will travel If it turns 20
times :-
81.7×20
= 1634 inches
Distance covered in feets:-
1634/12
= 163.1 feets
The radius of a circle is 4 inches. What is the circle's circumference?
Answer:
8π inches or approximately 25.12 inches
Step-by-step explanation:
What's the circumference of a circle?
❖ The circumference of a circle is the distance around a circle.
How do we find the circumference of a circle?
❖ The formula to find the circumference of a circle is 2πr, where r =
radius. We can solve in terms of pi, or approximate pi to 3.14
Solving
[tex]\pi * 4*2[/tex] [tex]\pi *8[/tex] 8π inchesor
[tex]3.14*4*2[/tex] [tex]3.14*8[/tex] 25.12 inchesHave a lovely rest of your day/night, and good luck with your assignments! ♡
Answer:
See below.
Step-by-step explanation:
Hi there!
We are given a circle, and inside that circle, we know that the radius of that circle is 4 inches
We want to find the circumference of the circle.
The circumference (C) is essentially the perimeter of a circle; the formula for the circumference of a circle is 2πr (r is the radius, π is pi)
Since we know the radius, we can substitute that value into the formula
C=2πr, r=4
C=2π*4
C=8π
If you need the answer in terms of pi, then the answer is 8π inches. However, if you need a number, then substitute an approximation for π, which will usually be 3.14 or 22/7
Using 3.14 for example,
C=8*3.14=25.12 inches
Using 22/7 meanwhile,
C=8*22/7=25.14 inches (rounded to the nearest hundredth)
So the answer is either 8π inches, 25.12 inches, or 25.14 inches (depending on how you need it approximated)
Either way, hope this helps!
See more on finding the circumference of a circle given the radius here: https://brainly.com/question/15882336
On a field trip there are 3 adults for every 45 students. Which graph models a relationship with the same unit rate?
Step-by-step explanation:
There is 1 adult for every 15 students. (I don't see any pictures of a graph)
Answer:
There is 1 adult for every 15 students
Step-by-step explanation:
Can anyone help me with this?
Answer:
brrooo me too i hate bell work
Step-by-step explanation:
good luck tho
A parabola can be drawn given a focus of (-9, -7) and a directrix of x = 9. Write
the equation of the parabola in any form.
Check the picture below, so the parabola looks more or less like so, with a vertex at (0 , -7), let's recall the vertex is half-way between the focus point and the directrix.
so this horizontal parabola opens up to the left-hand-side, meaning that the "P" distance is a negative value.
[tex]\textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\supset}\qquad \stackrel{"p"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\begin{cases} h=0\\ k=-7\\ p=-9 \end{cases}\implies 4(-9)(x-0)~~ = ~~[y-(-7)]^2 \\\\\\ -36x=(y+7)^2\implies x=-\cfrac{1}{36}(y+7)^2[/tex]
Can someone please help me
Answer:
is this geometry. if it is then i can help you
Step-by-step explanation:
[tex]\\ \rm\rightarrowtail \dfrac{NM}{NO}=\dfrac{KM}{KL}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{x}{7}=\dfrac{20}{2x}[/tex]
[tex]\\ \rm\rightarrowtail 2x^2=140[/tex]
[tex]\\ \rm\rightarrowtail x^2=70[/tex]
[tex]\\ \rm\rightarrowtail x=\sqrt{70}[/tex]
Function f is defined by f(x)=3/2x+c. If f(6)=1, what is the value of f(c)?
Please don't just give me an answer, explain it so I understand. Thanks.
Answer:
C = - 8
Step-by-step explanation:
[tex]f(x) = \frac{3}{2} x + c \\ \\ plug \: x = 6 \\ \\ f(6) = \frac{3}{2} \times 6 + c \\ \\ f(6) = 3 \times 3 + c \\ \\ f(6) = 9+ c \\ \\ \therefore \: 1 = 9 + c \: \{ \because \: f(6) = 1 \} \\ \\ 1 - 9 = c \\ \\ \huge \red{ \boxed{ c = - 8}}\\\\
f(c) =\frac{3}{2} c +(-8)\\\\
\huge \orange { \boxed{ f(c) =\frac{3}{2} c -8}} \\\\ [/tex]
In the following number, which digit is in the ten thousand places?
7,253,917
A.2
B.5
C.3
D.9
Answer:
B. 5
Step-by-step explanation:
How it is 5 is because well if you look to the side you can easily see that the 3 is in the Thousands place so.. the 5 would most likely be in the Ten Thousands place. Your Welcome!
Explanation:
Refer to the place value chart shown below.
The 5 is in the ten-thousands place value.
There's not much else I can add to that explanation, but feel free to ask any other questions you may have.
-4x^2+2x-5(1+x) what is the answer
Answer:
−
4x^2−3x−5
Step-by-step explanation:
Carl is a biologist studying different types of mammals. He finds in one vally that there are 15 plant-eating mammals for every 2 meat-eating mammals. The total population is about 2,900. Which number is the beat estimate of the population of meat-eating mammals in the valley. * 170 *340 *1,450 * 2,560
Answer: 340
Step-by-step explanation:
Given: There are 15 plant-eating mammals for every 2 meat-eating mammals.
i.e. ratio of meat-eating mammals to plant eating animals = 2:15 or [tex]\dfrac2{15}[/tex]
ratio of meat-eating mammals to total population = [tex]\dfrac{2}{17}[/tex]
Total population: 2,900 (approx.)
The population of meat-eating mammals in the valley = [tex]\dfrac{2}{17}\times2900[/tex]
[tex]\approx341[/tex]
From the given options, the best estimate of the population of meat-eating mammals in the valley = 340
Is it a function? Or not
Answer:
Nah
Step-by-step explanation:
Nah tbh I don't think so if I'm being honest
If one root of the equation x^2 + 5x + k = 0 is -2, what is the value of k?
Answer:
k = 6
Step-by-step explanation:
given x = - 2 is a root then substitute x = 2 into the equation
(- 2)² + 5(- 2) + k = 0
4 - 10 + k = 0
- 6 + k = 0 ( add 6 to both sides )
k = 6
Answer:
k = 6
Step-by-step explanation:
since x = - 2 put x = 2 into the equation
(- 2)² + 5(- 2) + k = 0
4 - 10 + k = 0
-6 + k = 0
+6 +6
k = 6
Kodiak is riding her skateboard
down a hill.
What is the slope?
Please help asap
Answer:
Slope = 1/20
Step-by-step explanation:
Because every 1 second, she goes down 20 feet.
Answer:the answer is the pic
Step-by-step explanation:
hope this helps bye
Select either relation (if the set is a relation but not a function), function (if the set is both a relation and a function), or neither (if the set is not a relation).
A = {(1, 2) (2, 2) (3, 2) (4, 2)}
Answer:
Function
Step-by-step explanation:
Since each x value corresponds to a single y value
This is probably rly easy but I'm lazy
I'll give you brainliest!!
(The answer choices are 1/12 mph, 3 3/4 mph, 5 mph or 15 mph).
Answer:
5mph
Step-by-step explanation:
driver 1 is driving 45mph (7x6=45)
driver 2 is driving 50mph (10x5=50)