Answer:
y = 2x - 5
I hope this helps!
A 350-seat movie theater charges $10.50 admission for adults and $7.50 for children. If the theater is full and $3411 is collected, how many adults and how many children are in the audience (Note: You may use any method to solve the problem.)
Answer:
Hence 262 adults and 88chidren are in the audience
Step-by-step explanation:
Let the number adults be x
Let the number of children be y
If there are 350seats in the theatre then;
x+y =350 .... 1
Also if $10.50was charged for adults and $7.50 for children with total amount of $3411, then;
10.50x + 7.50 y = 3411..... 2
Solve simultaneously
From 1, x = 350-y
Substitute into 2:
10.50(350-y) +7.50y = 3411
3675-10.5y+7.50y = 3412
3675-3y = 3411
-3y = 3411-3675
-3y = -264
y = 264/3
y = 88
From 3: x = 350-y
x = 350-88
x = 262
Hence 262 adults and 88chidren are in the audience
what is parallel to y=3x+1
you can only use the numbers 3,-2,1,4,-1,0,2,5 and put it in y= x +
Answer:
y=3x+1
Step-by-step explanation:
A parallel line has the same slope as the other line.
y=mx+b, m is the slope
Thus in y=3x+1, m =3
y = 3x + b
plug in points (1, 4) to determine b
4 = 3(1) + b
4 = 3 + b
subtract 3 on both sides
4 - 3 = b
b = 1
y = 3x + 1
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50 students live in a dormitory. The parking lot has the capacity for 30 cars. Each student has a car with probability 12 , independently from other students. Use the CLT (with continuity correction) to find the probability that there won't be enough parking spaces for all the cars.
Answer:
P(X is greater than 30) = 0.06
Step-by-step explanation:
Given that:
Sample proportion (p) = 0.5
Sample size = 30
The Binomial can be approximated to normal with:
[tex]\mu = np = 50 \times 0.5 \\ \\ \mu= 25[/tex]
[tex]\sigma = \sqrt{np(1-p) } \\ \\ \sigma = \sqrt{50 \times (0.5)(1-0.5) } \\ \\ \sigma = 3.536[/tex]
To find:
P(X> 30)
So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 30 lies between 29.5 and 30.5
Normal distribution:
x = 30.5, [tex]\mu[/tex] = 25, [tex]\sigma[/tex] = 3.536
Using the z test statistics;
[tex]z = \dfrac{x - \mu}{\sigma}[/tex]
[tex]z = \dfrac{30.5 - 25}{3.536}[/tex]
[tex]z = \dfrac{5.5}{3.536}[/tex]
z = 1.555
The p-value for P(X>30) = P(Z > 1.555)
The p-value for P(X>30) = 1 - P (Z< 1.555)
From the z tables;
P(X> 30) = 1 - 0.9400
Thus;
P(X is greater than 30) = 0.06
What is 35% of 200?
i will gove you brainless
Answer:
the answer is 70
Step-by-step explanation:
Antonio completed the right column of the table to help him find the sum of 2/ and 1/5.
In which step did his first error occur?
Step ( )
Answer:
Antonio's first error occurred in First step where he added the denominators of both fractions instead of finding a common denominator.
Step-by-step explanation:
In order to add or subtract two fractions, a common denominator is found and then the denominators of both fractions are made equal to the common denominator.
The given fractions are:
[tex]\frac{2}{9}\ and\ \frac{1}{5}[/tex]
The common denominator is the number which is the multiple off denominators of both fractions involved.
Antonio made his first error in first step. Instead of finding a common multiple denominator, he add the denominator of both fractions which is wrong.
The correct method is:
[tex]\frac{2}{9} + \frac{1}{5}\\= \frac{2*5}{9*5} + \frac{1*9}{5*9}\\=\frac{10}{45}+\frac{9}{45}\\=\frac{19}{45}[/tex]
Hence,
Antonio's first error occurred in First step where he added the denominators of both fractions instead of finding a common denominator.
Tim worked 23 hours and earned $6.50 per hour. Round the number of hours Tim worked to the nearest ten and round his hourly pay to the nearest dollar to estimate how much he will be paid.
Step-by-step explanation:
23=20. $6.50=$7
20x7=$140
Answer:
first step is 20. Second step is 7.00$. He will make 140.00$ an hour.
Step-by-step explanation:
The container that holds the water for the football team is 16 full. After pouring in 11 gallons of water, it is 23 full. How many gallons can the container hold?
Answer:
100
Step-by-step explanation:
Water is leaking out of an inverted conical tank at a rate of 10700 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 8 meters and the diameter at the top is 3 meters. If the water level is rising at a rate of 26 centimeters per minute when the height of the water is 2.5 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute.
Solution :
The diameter of the tank = 3 m = 300 cm
Radius of the tank = 1.5 m = 150 cm
Height of the tank = 8 m = 800 cm
The rate of increase of height of water level = 26 cm/min
∴ [tex]$\frac{dh}{dt} = 20 \ cm/min$[/tex]
The water is leaking at a rate of = 10700 cubic centimeters per min
∴ rate out = 10,700 [tex]$cm^3 / cm $[/tex]
At time 't', the height of water level is 'h' with radius 'r' and volume 'V'.
By the property of similarity of triangles we can write
[tex]$\frac{h}{r} = \frac{800}{150} $[/tex]
[tex]$\frac{h}{r} = \frac{16}{3} $[/tex]
[tex]$r = \frac{3}{16}h$[/tex]
Volume of water at time 't' is given as
[tex]$V= \frac{1}{3} \pi r^2 h $[/tex]
[tex]$V= \frac{1}{3} \pi \left(\frac{3}{16}h\right)^2 h $[/tex]
[tex]$V =\frac{3}{256} \pi h^3$[/tex]
Now differentiating w.r.t 't'
[tex]$\frac{dv}{dt} = \frac{9}{256} \pi h^2 \frac{dh}{dt}$[/tex]
The rate of increase in tank = rate of inward flow - rate of outward flow
[tex]$\frac{dv}{dt} $[/tex] = rate of inward flow - 10,700
rate of inflow = 10,700 + [tex]$ \frac{9}{256} \pi h^2 \frac{dh}{dt}$[/tex]
Substituting the values we get
rate of inflow = 10,700 + [tex]$ \frac{9}{256} \times 3.14 \times (250)^2 \times 26$[/tex]
∴ rate of inward flow = [tex]$1.9 \times 10^5 \ cm^3/min$[/tex]
Help pls I need help asap
Find the h.c.f by division method:
399, 665, 1463.
Help!! Teachers,students,etc
Answer:
6 8 8 8 89 9 8 8 66 4 4 4 57 8c8 7 54
Please Help!!! :( I don't understand
Answer:
Step-by-step explanation:
You would do
4×18.5 =74
2×6.75 =13.5
14×7/8 =12.25
Add all that up and it equals 99.75lbs/pounds
37:35-(32:24-10).2+√289=
Answer:
to simplify this it is 1295/1804
Step-by-step explanation:
Jacob went to the movie theater. The movie ticket cost him $8.00. He spent twice the amount of the movie ticket at the concession stand. How much did he spend at the movie theater in all?
Answer:
24$
Step-by-step explanation:
You run around the perimeter of a baseball field at a rate of at most 12 feet per second. Which of the following are possible amounts of time that it takes you to run around the baseball field?
Answer: 79 seconds.
Step-by-step explanation:1) we have to calculate the lenght of the baseball field.
perimeter of the baseball field=2(radius)+lenght of a semicircle.
2(radius)=2(175 ft)=350 ft
lenght of a semicircle=40% of a circumference=(40/100)(2πr)
Perimeter of the baseball field=2(175 ft) + (40/100)(2π175 ft)=
=350 ft + 140π ft=350 ft + 439.82 ft=789.82 ft,
2)Now, we calculate the amounts of time that it takes you to ruan arount the baseball field.
10 ft------------------------1 second
789,82 ft----------------- x
x=(789.82 ft * 1 second) / 10 ft=78.98 s≈79 s
A cubical water tank is 80cm board.
(i) Find the volume of the tank.
(ii)How many cm.cube of water does it hold?
(iii)If 1000cm.cube = 1 litre,how many litres of water does it hold
Answer:
(i) 512,000 cubic cm
(ii) 512,000 cubic cm
(iii) The tank holds 512 liters of water
Step-by-step explanation:
Capacity and Volume
Volume is the amount of space a container or object occupies. Capacity is the amount of matter required to fill the container.
(i)
The cubic tank has a side length of a=80 cm. The volume of a cube is:
[tex]V=a^3[/tex]
[tex]V=80^3[/tex]
[tex]C=512,000\ cm^3[/tex]
(ii)
The tank holds 512,000 cubic cm of water
(iii)
Since 1 liter = 1,000 cubic cm, the tank holds 512,000/1,000 = 512 liters of water.
Given sinθ = 2/5 and cosθ < 0:
1. Find cscθ
2. Find cotθ
Recall that
sin²(θ) + cos²(θ) = 1
for all θ, and given that cos(θ) < 0, we find that
cos(θ) = -√(1 - sin²(θ)) = -√(1 - (2/5)²) = -√(21)/5
Now,
csc(θ) = 1/sin(θ) = 1/(2/5) = 5/2
and
cot(θ) = cos(θ)/sin(θ) = (-√(21)/5)/(2/5) = -√(21)/2
An elm tree is 3 and 1/2 times as tall as an apple tree . The apple tree is 10 and 2/3 feet tall how tall is the elm tree
Answer:
111 1/3 feet tall
Step-by-step explanation:
Please help me thank you so much I appreciate it
Answer:
12
Step-by-step explanation:
To find perimeter, add the lengths of each side. 5 + 4 + 3 = 12
Answer:
12
Step-by-step explanation:
5+4+3
A store has apples on sale for $14.00 for 4 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $56.00? Complete the explanation.
Answer:
51.2 apples, but obviously you can't do that, so i think the answer would be 51 apples
Step-by-step explanation:
Help me with this pleaseeeeeeeeeeeee
Answer:
36
Step-by-step explanation:
USE PYTHOGORAS THEOREM
A²=C²-B²
C²=3600
B²=2304
3600-2304=1296
√1296=36
hope it helps
Have a nice Day , I would appreciate it if you could mark my answer brainliest
HELP WILL GIVE BRAINLEIST
Answer:
n=99°
Step-by-step explanation:
As both the triangles are similar, the angles are equal. For both triangles, n= 180-(37+44)
=99
Answer:
n=9 I think so my sister told me sorry if I am wrong:(
A set of n = 10 pairs of scores has ΣX = 25, ΣY = 30, and ΣXY = 74. What is the value of SP for these data?
a. 14
b. 24
c. -144
d. -1
I think it's B
Not 100% sure but I think
find the length of the top part of the window shown. The diameter of the Sun in my circle is 63 in in length. Round your answer to the nearest inch
Answer:
[tex]99\ inches[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\Diameter\ of\ the\ Sun\ or\ the\ Semi-Circular\ Window=63\ inches\\Hence\ in\ order\ to\ find\ the\ length\ of\ the\ top\ part,\ we\ need\ to\\ find\ the\ semi-circumference\ of\ the\ window.\\Hence,\\As\ we\ know\ that,\ in\ any\ circular\ figure,\\Radius=\frac{Diameter}{2} \\Hence\ here,\\Radius\ of\ the\ Semi-Circular\ Window=\frac{63}{2}\\Hence,\\As\ the\ Circumference\ of\ a\ circle= 2\pi r[/tex][tex]Hence,\\Semi-Circumference= \frac{Circumference}{2}\\Hence,\\ Semi-Circumference=\frac{2\pi r}{2}\\Semi-Circumference=\pi r\\Hence\ taking\ r=\frac{63}{2}\ and\ \pi =\frac{22}{7} ,\\The\ Semi-Circumference\ of\ the\ Semi-Circular\ Window=\pi *\frac{63}{2} \\The\ Semi-Circumference\ of\ the\ Semi-Circular\ Window= \frac{22}{7}*\frac{63}{2}\\[/tex]
[tex]The\ Semi-Circumference\ of\ the\ Semi-Circular\ Window= 11*9=99\ in\\Hence,\\The\ length\ of\ the\ top\ part\ of\ the\ window= 99\ inches[/tex]
Answer:34)63
Step-by-step explanation:
Simplify ( 5^2x7^4 ) 10
Answer:
5^20 • 7^40
Step-by-step explanation:
each exponent needs to multiply each 10.
Answer:
D. [tex]5^{20}[/tex] x [tex]7^{40}[/tex]
Step-by-step explanation:
Original Equation= [tex](5^2 \cdot 7^4)^{10}[/tex]
Apply exponent rule: [tex](a\cdot b) ^n[/tex] = [tex]a^n[/tex] [tex]b^n[/tex]
= [tex](5^2)^{10}[/tex] x [tex](7^4)^{10}[/tex]
Distribute them
= [tex]5^{20}[/tex] x [tex](7^4)^{10}[/tex]
= [tex]5^{20}[/tex] x [tex]7^{40}[/tex]
Hope this helps!
convert 25% into fraction with method
Answer:
¼
Step-by-step explanation:
25%
= 25÷100
= ¼ (°.° 25×4 = 100)
A flooring company needs to tile a section of a kitchen that is in the shape of a triangle.
they know that the area is 21 ft squared and the base is 6 ft how can they determine the
height of the triangle?
The formula for the area of the triangle: A = Area B= Base H=Height
Answer: It is possible to determine the height of the triangle by using the formula of the area of a triangle and creating an equation to find the missing value (height). Also, the value of the height is 7ft
Explanation:
The area of a triangle is found by using both the height and the base of a triangle. Indeed, the general formula for this is A( area) = h (height) x b (base) ÷ 2. Now, this general formula can be used to find any of the values missing if two values are known. This means the height can be calculated using the area and the base. To do this, create a simple equation and solve it. The process is shown below:
1. Write the general equation
[tex]A = \frac{h b}{2}[/tex]
2. Replace the letters with the values you have
[tex]21 =\frac{6b}{2}[/tex]
3. Find the missing value by moving the values to the other side of the equal symbol (=) and changing its symbol
21 x 2 = 6b -For example 2 divided 6b but if it is changed to the other side it needs to multiply
42 = 6 b
42 / 6 = b
b = 7
This means the value of the height is 7 ft. If you want to double-check this, use the original formula:
A = 6 ft x 7 ft / 2
A= 42 [tex]ft^{2}[/tex] / 2
A= 21 [tex]ft^{2}[/tex]
Solve for x if the horizontal lines below are parallel.
fo
Answer:
[tex]x=82^{\circ}[/tex]
Step-by-step explanation:
We can draw a perpendicular line through the two parallel lines to create a pentagon (there is an image attached in case you need to see where the line intersects the two parallel lines). Since the angle sum of a pentagon is [tex]540^{\circ}[/tex], we can solve for [tex]x[/tex].
[tex]x+140+138+90+90 = 540[/tex] (Angle sum of pentagon is [tex]540^{\circ}[/tex])
[tex]x+458=540[/tex] (collect like-terms)
[tex]x=82^{\circ}[/tex]
Hope this helps :)
NEED HELP WITH LAST QUESTION 2). IM IN ZOOM PLEASE HELP <3 WILL GIFT 421 POINTS
Answer:
Equation: x° + x° + (x + 10)° + 59° = 360°
Solution: x = 97
Step-by-step explanation:
The sum of the interior angles of a quadrilateral = 360°
Therefore:
x° + x° + (x + 10)° + 59° = 360°
Solve for x
x + x + x + 10 + 59 = 360
Add like terms
3x + 69 = 360
Subtract 69 from each side
3x = 360 - 69
3x = 291
Divide both sides by 3
x = 97
Which theorem shows QMP=RNP?
A. ASA
B. AAS
C. SAS
D.none of the above
Answer: i believe it’s A
Step-by-step explanation:
By ASA criteria, ΔQMP is congruent to ΔRNP.
What is triangle?A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
The sum of two sides of a triangle is greater then the third side. Mathematically -
a + b > c
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given is a figure as shown in the image.
In ΔQMP and ΔRNP -
∠QPM = ∠NPR {Vertically opposite angles}
QM = NR {Given}
∠MQP = ∠NRP {Alternate interior angles}
So, by ASA criteria, ΔQMP is congruent to ΔRNP.
Therefore, by ASA criteria, ΔQMP is congruent to ΔRNP.
To solve more questions on triangles, visit the link below-
brainly.com/question/25950519
#SPJ2
1 hundred 8 million 4 hundred 4 thousand translate
Answer:
800,004,500
Step-by-step explanation:
