A total of 705 tickets were sold for the school play. they were either adult tickets or student tickets. there were 55 more student tickets sold than adult tickets. how many adult tickets were sold?
There were 380 student tickets and 325 adult tickets were sold for the school play.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Let the number of student tickets would be x and the number of adult tickets would be y
As per the given question, the following system of equations:
x - y = 55 ....(i)
x + y = 705 ....(ii)
Add both equations,
x - y + x + y = 55 + 705
2x = 760
x = 760 / 2
x = 380
Substitute the value of x = 380 in equation (ii),
x + y = 705
380 + y = 705
y = 705 - 380
y = 325
Hence, there were 380 student tickets and 325 adult tickets were sold for the school play.
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2. A cube-shaped aquarium has edges that are 3 ft long. The aquarium is filled with water that has a density of 62 lb/ft^3
(a) Should the aquarium be placed on a table that can support a maximum weight of 200 lb? Explain why or why not.
(b) Would the density of the water change if the aquarium was only half full? Explain.
Ill Mark Brainliest if you answer correctly. The figure below shows a shaded circular region inside a larger circle:
A shaded circle is shown inside another larger circle. The radius of the smaller circle is labeled as r and the radius of the larger circle is labeled as R. On the right side of the image is written r equal to 4 inches and below r equal to 4 inches is written R equal to 5 inches.
What is the probability that a point chosen inside the larger circle is not in the shaded region?
24%
36%
50%
64%
First we have to find the areas of both circle using the formula
[tex] Area = \pi r^2 [/tex]
For larger circle,
[tex] Area= \pi(5)^2 = 25 \pi [/tex]
For smaller circle,
[tex] Area = \pi (4)^2 = 16 \pi [/tex]
Required probability
[tex] = \frac{25 \pi -16 \pi}{25 \pi} *100 = \frac{9}{25}*100 = 36% [/tex]
Correct option is the second option .
Answer:
the other person is correct
Step-by-step explanation:
give them brainliest
What’s the answer to question 13
The figure below shows a shaded circular region inside a larger circle:
A shaded circle is shown inside another larger circle. The radius of the smaller circle is labeled as r and the radius of the larger circle is labeled as R. On the right side of the image is written r equal to 4 inches and below r equal to 4 inches is written R equal to 5 inches.
What is the probability that a point chosen inside the larger circle is not in the shaded region?
24%
36%
50%
64%
Points earned on this question: 0
Answer:
36%
Step-by-step explanation:
What is true about side AB and side AD?
1) The slopes are the same.
2)The slopes are the opposite reciprocal.
A rectangle measures 12cm by 7cm. What is its area
A barn is an atomic unit of area equal to 10–28 m2. what is the surface area of the earth expressed in units of barn? assume the earth is a sphere with a radius of km. (the surface area of a sphere is 4πr2.)
A ball is dropped from a height of 12 feet. Each time it bounces, it rebounds 3
4
of the distance it has fallen. How far will it rebound after the third bounce?
A) 0.75 feet
B) 5.0625 feet
C) 6.75 feet
D) 9 feet
Final answer:
After calculating the rebound height for each bounce by multiplying the height from the previous bounce by 75%, the ball will rebound to a height of B) 5.0625 feet after the third bounce.
Explanation:
The question is asking how far the ball will rebound after the third bounce. Initially, the ball is dropped from a height of 12 feet. On each bounce, it rebounds to ⅔3 (75%) of the previous height. To solve this, we need to calculate the height achieved on each successive bounce.
First bounce: 12 feet * ⅔3 = 9 feet
Second bounce: 9 feet * ⅔3 = 6.75 feet
Third bounce: 6.75 feet * ⅔3 = 5.0625 feet
Therefore, after the third bounce, the ball will rebound to a height of 5.0625 feet, which corresponds to option B.
Which expression is another way to show 9/2
The expression 9/2 can be equivalently expressed as the mixed number 4 1/2, or by multiplying the numerator and denominator by the same number, such as 18/4.
Explanation:The question asks for an expression that is equivalent to 9/2. One way to express this fraction differently is by converting it into a mixed number. Since 9 divided by 2 is 4 with a remainder of 1, we can express 9/2 as 4 1/2 (four and a half). Another method is to multiply both the numerator and the denominator by the same number, which does not change the value of the fraction.
For example, multiplying both by 2 gives us 18/4, which is equivalent to 9/2. Multiplying or dividing both the numerator and denominator by the same non-zero number is a skill that can provide equivalent fractions.
Can someone help me find the area of the following figure
What is the value of b?
Round your answer to the nearest tenth.
15.7 yd
24.1 yd
35.1 yd
36.2 yd
The figure shows acute triangle A B C. The measure of angle B is 34 degrees. The length of side A B is 28 yard. The length of side B C is 22 yard. The length of side C A is b.
Answer:
A. 15.7 yards.
Step-by-step explanation:
Please find the attached file.
We have been given that in triangle ABC, the measure of angle B is 34 degrees. The length of side AB is 28 yards and the length of side BC is 22 yards. The length of side CA is b.
We will use law of cosines to find the length of side 'b'.
[tex]c^2=a^2+b^2-2ab\times cos(C)[/tex]
Upon substituting our given values in above formula we will get,
[tex]CA^2=22^2+28^2-2\times 22\times 28\times cos(34^{\circ})[/tex]
[tex]CA^2=484+784-1232\times 0.829037572555[/tex]
[tex]CA^2=1268-1021.37428938776[/tex]
[tex]CA^2=246.62571061224[/tex]
Taking square root of both sides we will get,
[tex]CA=\sqrt{246.62571061224}[/tex]
[tex]CA=15.70432139929\approx 15.7[/tex]
Since the length of side CA is b, therefore, the value of b is 15.7 yards and option A is the correct choice.
Solve x2 + 10x + 12 = 36 for x. x = â12 or x = 2 x = â11 or x = 1 x = â2 or x = 12 x = â1 or x = 11
For one History test, John had to answer 45 questions, John answered 33 of them correctly. What percent did John get on his history test? Round your answer to the nearest tenth if necessary.
PLEASE SHOW WORK!!!
What is the value of y?
I think the hypotenuse is 8 and if it is, am I supposed to do
C^2 - B^2 = A^2?
A basketball is theown upwards. The height F(t), The height in feet, in time, t, in seconds is goven by the following. f(t)= -16t(2) +44+ 12. Which of the following is a reasonable domain of the graphof the function when the basketball falls from ots maximum height to the ground?
At a carnival, Brian bought 9 packs of 16 tickets each. He uses 39 tickets so far . how many tickets does he have left
The number of tickets left after using 39 tickets is 105.
What is multiplication?Multiplication is the process of adding a number up to a given number
Given that, there are 9 packs and there are 16 tickets in each pack.
Therefore, the total number of tickets is:
16 × 9
= 144
Now, the number of available tickets after using 39 tickets:
144 - 39
= 105
Hence, the number of tickets left after using 39 tickets is 105.
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All of the following represent the same expression except _____.
-8ab
-8(a)(b)
8 - ab
-8 · a · b
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The expression that is not the same as the rest of the expressions is
8 - ab.
Option C is the answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example:
2 + 3x + 4y = 7 is an expression.
3x - 5 is an expression.
4x + 4 is an expression.
4 x 5 - 5x is an expression.
We have,
1) -8ab
2) -8 (a) (b)
= -8ab
3) 8 - ab
4) -8.a.b
= -8ab
We see that,
All the expressions are the same except the expression
8 - ab
Thus,
The expression that is not same with the rest of the expression is
8 - ab.
Option C is the answer.
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Mark placed a pool in his backyard which is enclosed by a triangular fence the radius of the pool is 20.5 feet. How backyard is not covered by the pool
Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of α if α < β. sin(2x − 8) = cos(6x − 6)
Answer:
The value of angle α is 18 degree.
Step-by-step explanation:
Given information: Angles α and β are the two acute angles , α < β.
Given equation is
[tex]\sin (2x-8)=\cos (6x-6)[/tex]
[tex]\cos (90-(2x-8))=\cos (6x-6)[/tex] [tex][\because \sin (90-x)=\cos x][/tex]
Equating both sides.
[tex]90-2x+8=6x-6[/tex]
[tex]98+6=6x+2x[/tex]
[tex]104=8x[/tex]
[tex]13=x[/tex]
The value of x is 13.
The measure of angles is
[tex]2x-8=2(13)-8=18[/tex]
[tex]6x-6=6(13)-6=72[/tex]
Since 18<72, therefore the value of angle α is 18 degree.
Answer:
A
Step-by-step explanation:
Today, 32 customers at Tasha's Juice Emporium bought a total of 512 ounces of juice. How much juice did each customer buy on average?
The amount of juice did each customer buy on average is,
⇒ 16 ounces
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Today, 32 customers at Tasha's Juice Emporium bought a total of 512 ounces of juice.
Hence, The amount of juice did each customer buy on average is,
⇒ 512 / 32
⇒ 16 ounces
Thus, The amount of juice did each customer buy on average is,
⇒ 16 ounces
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Triangle XYZ is formed by the three squares J, K, and L:
Which statement best explains the relationship between the sides of triangle XYZ?
XY + YZ = ZX, because 144 + 256 = 400
(XY)2 + (YZ)2 = (ZX)2, because 144 + 256 = 400
(XY)2 + (YZ)2 = (ZX)2, because 202 + 122 = 162
XY + YZ = ZX, because 202 + 122 = 162
Triangle XYZ is formed by the three squares J, K, and L
So it is a right triangle.
Pythagorean Theorem: a^2 + b^2 = c^2
Answer:
(XY)^2 + (YZ)^2 = (ZX)^2, because 144 + 256 = 400
Which pair of numbers are not opposites? Select one: a. |7| and -7 b. 72 and -72 c. 27 and |-27| d. 27 and -27
If x varies directly as y, and x = 48 when y = 16, find x when y = 5.
A) 5/3
B) 153.6
C) 15
ank’s teacher asked him to verify that the product (y – 3)(y2 + 3y + 9) is a difference of cubes. He used the distributive property to multiply the binomial times the trinomial. Before simplifying, his product was a polynomial of the form y3 + 3y2 + ay – 3y2 – ay – 27. What is the value of a in the polynomial?
The diagonal of a TV screen is 26 inches. The screen is 18.8 inches wide. How high is the screen? Round to the nearest hundredths place.
The height of the TV for the condition is 17.96 inches.
What is Pythagoras' theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.
Given the diagonal of the TV = 26 inches
width of screen = 18.8 inches
let the shape of TV be rectangular
so diagonal divide the rectangle in right triangles,
by Pythagoras' theorem we can find the height,
h² = b² + h²
h = hypotenuse = diagonal for given = 26 inches
b = base = width = 18.8 inches
h = height
(26)² = (18.8)² + h²
h² = 676 - 353.44
h = √322.56
h = 17.96 inches
Hence the height of TV is 17.96 inches.
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Is (3, 2) a solution to this system of equations?
8x + 7y = 37
2y = 4x - 2
Determine whether the triangles are similar. If so, what is the similarity statement and the postulate or theorem used?
Answer:
DGH~DFE; SAS~
Step-by-step explanation:
Keisha can jog 2 miles in 24 minutes. At the same rate , how many miles can she jog in 60 minute
find the probability that a student chosen at random plays football or cricket or both