Answer:
94 children, 64 students, and 47 adults attended the movie theater.
Step-by-step explanation:
Let; a be for adults, s for students, and c for children.
Make a system to solve for the amount of people.
c/a = 2
a + 2a + s = 205
3a + s = 205
Simplify.
s = 205 - 3a
s = 205 - 3a
c = 2a
Plug it in.
5c + 7s + 12a = 1482
10a + 7(205 -3a) + 12a = 1482
10a + 1435 - 21a + 12a = 1482
a + 1435 = 1482
a = 47
Substitute.
c = 2(47)
c = 94
Solve.
s = 205 - 3(47)
s = 64
The function graphed to the left is
function.
and continues
The curve has
infinitely in one direction.
each
Each y-value is
corresponding x-value.
Answer: There is a circular
Step-by-step explanation:
Answer:
he function graphed to the left is
✔ a square root
function.
The curve has
✔ one distinct endpoint
and continues infinitely in one direction.
Each y-value is
✔ the square root of
each corresponding x-value.
Step-by-step explanation:
(15pts) Given the diagram: what is the area of the shaded sector corresponding to AB, rounded to two decimal places?
Answer:
Area of a Sector of Circle = (θ/360º) × πr²
θ = angle subtended at the center r = radius of the circle[tex]area \: = \: \frac{70}{360} \times \frac{22}{7} \times 10 {}^{2} \\ = 61.11[/tex]
on rounding off to two decimal places:-
61 Sq. unitsWhat is the inverse of the function f(x) = 2x - 10? A-. h(x) = 2x-5
B-. h(x) = 2x+5
C -. h(x) = 1/2x-5
D-. h(x) = 1/2x+5
need answer fast please
Answer:
D
Step-by-step explanation:
let y = f(x) and rearrange making x the subject
y = 2x - 10 ( add 10 to both sides )
y + 10 = 2x ( divide both sides by 2 )
[tex]\frac{y+10}{2}[/tex] = x
Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then
[tex]f^{-1}[/tex] (x) = [tex]\frac{x+10}{2}[/tex] = [tex]\frac{1}{2}[/tex] x + 5 → D
El resultado de 3^2∙3^2 es:
Answer:
3^2 x 3^2 = 813^2 = 3 x 3 = 9
9 x 9 = 81
Answer:
[tex]3^{2} \times3^{2}[/tex]
[tex]3^{2+2}[/tex][tex]3^{4}[/tex][tex]3x^{4} =81[/tex][tex]Answer: 81[/tex]
------------------------
hope it helps...
have a great day!!
(b) If A(t) is the amount of the investment at time t for the case of continuous compounding, write a differential equation satisfied by A(t).
Answer:
[tex]A'(t) = rA(t)[/tex]
Step-by-step explanation:
Given
[tex]A(t) \to[/tex] Amount
Required
The differential equation
The equation for the amount is:
[tex]A(t) = A_0 * e^{rt}[/tex]
Where:
[tex]A_0 \to[/tex] initial amount
[tex]r \to[/tex] rate
[tex]t \to[/tex] time
Differentiate[tex]A(t) = A_0 * e^{rt}[/tex]
[tex]A'(t) = A_0 * r * e^{rt}[/tex]
So, we have:
[tex]A'(t) = rA_0 * e^{rt}[/tex]
From the question, we have: [tex]A(t) = A_0 * e^{rt}[/tex]
So, the equation becomes
[tex]A'(t) = rA(t)[/tex]
find the slope between the points (-10,8) and (-7,5)
Answer:
-1
Step-by-step explanation:
Slope = (y2 - y1) / (x2 - x1)
Slope = (8 - 5) / (-10 - -7)
Slope = 3 / (-3)
Slope = -1
Integration. Please help ASAP
Answer:
I hope this helps
Step-by-step explanation:
Help, I have a time limit for this
Answer:
I believe that it is the first one.
Step-by-step explanation:
a train leaves Westchester at 6:30. What time should it arrive at Middlewich
Answer:
a). 6:51
b). 6:30 am
c). 34 minutes
Step-by-step explanation:
a). Train leaves Westchester at 6:30.
From the arrival - departure table in column (2),
Arrival time of the train at middlewich = 6:51
b). Kate has to reach Southam before 9:00 am
Therefore, time of the latest train that she can catch to get to work on time is 6:30 am
By this train she can reach at 07:19 at Southam.
c). Duration of journey from Westchester to Eastwick = 06:34 - 06:00
= 00:34
≈ 34 minutes
Which statement is true? (Algebra ll) *URGENT*
Answer:
3rd statement is correct
A cyclist travels 5 miles in 15 minutes.
What is her average speed in mph?
Solve the inequality. q/3 < 11
Answer:
[tex]q < 33[/tex]
Step-by-step explanation:
[tex] \frac{q}{3} < 11[/tex][tex]q < 11 \times 3[/tex]
[tex]q < 33[/tex]
Hope it is helpful....Answer:
33
Step-by-step explanation:
q/3<11
q=11×3
q=33
:. The answer is 33.
can someone help me with this?
simplify the following
a) 3 × 4 × 2 × b
b) c⁵ × c
c) 2y⁴ × 5y³
<3
Answer:
Step-by-step explanation:
a)3*4*2*b = 24b
Multiply the numerals and then the variables.When multiply variables, add the exponents and only same variables can be multiplied
b) c⁵ *c = c⁵⁺¹ = c⁶
c) 2y⁴ *5y³ = 2*5 * y⁴⁺³ = 10y⁷
1 2 3 4 5 6 7 8 9 10 Susan plans to use 120 feet of fencing to enclose a rectangular area for a garden. Which equation best models the area, y, of the rectangular garden that she creates if one side is x feet long
Answer:
[tex]Area = 60x - x^2[/tex]
Step-by-step explanation:
Given
[tex]Perimeter = 120[/tex]
[tex]Side\ 1 = x[/tex]
Required
The area of the garden
First, we calculate the length of the other side using:
[tex]Perimeter = 2 *(Side\ 1 + Side\ 2)[/tex]
This gives:
[tex]120 = 2 *(x + Side\ 2)[/tex]
Divide both sides by 2
[tex]60 = x + Side\ 2[/tex]
Make Side 2 the subject
[tex]Side\ 2 = 60 - x[/tex]
So, the area of the garden is:
[tex]Area = Side\ 1 * Side\ 2[/tex]
[tex]Area = x * (60 - x)[/tex]
Expand
[tex]Area = 60x - x^2[/tex]
is (-3,-5) a solution of the graphed inequality
Choose 1 answer:
Yes
No
Answer:
No
General Formulas and Concepts:
Algebra I
Reading a coordinate planeCoordinates (x, y)Solving inequalitiesStep-by-step explanation:
When we plot (-3, -5) on the coordinate plane, we can see that it is not in the shaded region.
∴ (-3, -5) is not a solution.
What is the value of x?
Hello,
The sum of the angles of a triangle is equal to 180°.
So :
x = 180 - 40 - 55 = 85°
Have a nice day :)
If a student can type 120 if if if if a student can type 120 words in 3
minutes, at this rate, how many words can
she type in 5 minutes?
(C) 180
(A) 240
(D) 160
(B) 200
(E) 120
Answer:
200
Step-by-step explanation:
Given: they can type 120 words in 3 minutes
Find number of words they can type in 1 minute: Words typed in 1 minute = 120/3=40
Solution: Words typed in 5 minutes = 40 * 5 = 200
Answer:
200 words
Step-by-step explanation:
First we need to find the words per minuite the student can type
we can do this by taking the number of words typed in 3 mins and dividing it by 3
120/3 = 40
Now we know she types 40 words per min
multiply 40 by 5 to get the no. of words typed in 5 mins
40*5=200
200 is the words she types in 5 mins
pls give brainliest
A baseball diamond is a square that is 90 feet on each side. How far is it from home plate to second base? Round to the nearest hundredth.
90.50 feet
97.50 feet
107.28 feet
127.28 feet
Answer:
[tex]\sqrt{90^2 + 90^2}[/tex]
= 127.2792206
Step-by-step explanation:
Answer: 127.28 feet.
Step-by-step explanation:
It’s actually 127.2792206 feet, but rounded to the nearest hundredth, it’s 127.28 feet. Hope I helped!
The perimeter of a rectangular plot is 36 metres. The length is 6 metres more than the width. What is the area of the rectangular plot?
Answer:
72 m^2
Step-by-step explanation:
Perimeter = 36
Length + width = 18
w + w + 6 = 18
2w + 6 = 18
2w = 12
w = 6
Length + 6 = 18
Length = 12
Area = 6 * 12 = 72 m^2
solve for
1) a
2) f
3) e
Answer:
Step-by-step explanation:
b + 70 = 180 {Supplementary angles}
b = 180 - 70
b = 110
a +b = 180 {Linear pair}
a + 110 = 180
a = 180 - 110
a = 70
d + 60 = 180 {linear pair}
d = 180 - 60
d = 120
c + d + 60 = 360 {one point angle}
c + 120 + 60 = 360
c + 180 = 360
c = 360 - 180
c = 180
f + 60 = 180 {Supplementary angles}
f = 180 - 60
f = 120
Use the graph to estimate the solutions to 4 log2 (2x) = x + 4. Select all that apply.
Given:
The equation is:
[tex]4\log_2(2x)=x+4[/tex]
The graph of the [tex]4\log_2(2x)[/tex] and [tex]x+4[/tex] are given on a coordinate plane.
To find:
The solution of the given equation from the given graph.
Solution:
From the given graph it is clear that the graphs of [tex]4\log_2(2x)[/tex] and [tex]x+4[/tex] intersect each other at points (1.24,5.24) and (16,20).
It means the values of both functions [tex]4\log_2(2x)[/tex] and [tex]x+4[/tex] are equal at [tex]x=1.24[/tex] and [tex]x=16[/tex].
So, the solutions of given equation are [tex]x=1.24[/tex] and [tex]x=16[/tex].
Therefore, the correct option is only F.
what is the measure of 6 ?
Answer:
54°
Step-by-step explanation:
Here :-
13x + 9 + 5x + 9 = 1801 8x + 18= 180 18x = 162x = 9Measure of 6 :-
6 = 5x + 9 6 = 5*9 +9 6 = 45 + 9 6 = 54°Answer:
m<6 = m<2 = 54º
Step-by-step explanation:
13x + 9 + 5x + 9 = 180
18x + 18 = 180
18x = 180 - 18
18x = 162
x = 162 / 18
x = 9
13x + 9
13(9) + 9
126
180 - 126
54
m<6 = m<2 = 54º
What is the area of the obtuse triangle given below?
Answer:
D. 38.5 sq. units
Step-by-step explanation:
The formula for the area of a triangle is A=bh(1/2)
So to solve, first multiply the base, by the height: 11*7=77
Then, multiply by 1/2 or divide by 2.
You get 38.5
That's your answer!
Hope this helps!
23. A window is installed above a tub in a bathroom. The inspector inspects the window to verify it is identified as tempered glass as required by hazardous locations in the code. There this no acid etching to indicate the window is tempered. He /she measures from the top of the tub to the bottom sash of the window and the measurement is 63 inches. Is this a deficiency
Answer:
it is not a deficiency, a measurement of above 60 inches is required for mon tempered glass, and given that the measurement is 63 inches, it is within the acceptable limits
Step-by-step explanation:
Tempered glass are tough glasses that are strong and do not normally break easily, tempered glass is required where the bottom edge is less than 5 feet or 60 inches above the bath the hath tub, so as to reduce the chance of the window being broken by the elbow while showering, and glasses lower than 60 inches are considered as being at risk of breaking, and should be made of tempered glass
Given that the measurement is 63 inches, the glass is not at risk and the 63 inches measurement for the given non tempered glass is not a deficiency
bobby drove 110 miles and his car used 5 gallons of gas. How many miles can he drive with 16 gallos of gas
Answer:
Bobby can drive 352 miles with 16 gallons of gas.
Step-by-step explanation:
110 miles uses 5 gallons of gas.To find how many miles can be driven with one gallon we divide 110 by 5.
110 ÷ 5 = 22
Therefore to find the amount of miles that can be driven with 16 gallons we multiply 16 × 22 = 352
In general, a gallon of paint can cover 400 square feet. Muhanmmad needs to cover a 21 foot by 17 foot wall and a circular area with a 5 foot radius. How many gallons will he have to buy?
Answer:
1.1 gallons of paint
Step-by-step explanation:
The wall measures;
21 foot by 17 foot
Thus, area of wall = 21 × 17 = 357 ft²
Circular area has a radius of 5 ft.
Thus;
Area of circle = πr² = π × 5² = 78.54 ft²
Total area covered = 357 + 78.54 = 435.54 ft² ≈ 436 ft²
A gallon of paint can cover 400 ft²
Thus gallons Muhammad would need = 436/400 = 1.09 gallons ≈ 1.1 gallons
Glass bottles are worth 10 cents and aluminum cans are worth 5 cents. If Joe returns 12 glass bottles and 48 aluminum cans, how much money will he receive?
$1.20
$3.60
$2.40
$4.80
Answer: The answer is 3.60 dollars.
Step-by-step explanation:
1 bottle = 10 cents
12 bottles = 120 cents
100 cents = 1 dollar
1 cent = 1/100
120 = 1/100 * 120 = 1.2 dollars
now
1 aluminium can = 5 cents
48 cans = 5*48 = 240 cents
240 cents = 1/100 * 240 = 2.4 dollars
so total = (1.2+2.4) dollars
= 3.6 dollars
Please someone help!
solve for X
Answer:
x = 9
Step-by-step explanation:
The central angle is equal in measure to the arc that subtends it, that is
9x - 1 = 80 ( add 1 to both sides )
9x = 81 ( divide both sides by 9 )
x = 9
show that the disgonals of a square are equal and bisect each other at right angle
PLSSS help me solve this question
Answer:
(3,-5)
Step-by-step explanation:
The line y=-x is a positively sloped line that when reflected across changes all signs to their opposite counterpart. Positivee to negative, negative to positive.
