Tickets for a reserved seat, r, for the basketball game cost $4 each and student tickets, s, cost $3 each. There were 1,787 people who attended the basketball game and a total of $5,792 was earned in ticket sales. Select the two equations that represent the situation.
A) r+s=5,792
B) r+s=1,787
C) 3r+4s=5,792
D) 4r+s=5,792
E) 4r+3s=5,792
The two equations which can be used to represent the situation are;
r + s = 1787
4r + 3s = 5,792
The correct answer choice is option B and E
Write two equations that represent the situation?Reserved seat for basketball game = r
Students seat for basketball game = s
Cost of reserved seat tickets = $4
Cost of students tickets = $3
Total number of people who attended the basketball game= 1,787 people
Total amount earned for tickets sales= $5,792
r + s = 1787
4r + 3s = 5,792
Therefore, the basketball game situation can be represented by the equation r + s = 1787; 4r + 3s = 5,792
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How can this fact family model help us compare the
numbers shown? You can use the number line to help
you complete each statement.
The sum of 3 and 7 is
10 is
bigger than 3
bigger than 7
10 is
7
Answer:
The sum of 3 and 7 is - 1010 is - bigger than 77 - bigger than 3Step-by-step explanation:
Hope it helps.
Answer:
The sum of 3 and 7 is ( 10 ).10 is ( 7 ) bigger than 3.10 is ( 3 ) bigger than 7.
One leg of a triangle has a length of 3m. The other sides have lengths that are consecutive integers find these lengths
The length of the other two sides are 4m and 5m
How to determine the lengthsUsing the Pythagorean theorem, we have that the square of the hypotenuse sides is equal to the sum of the squares of the other two sides of the triangle
This is represented as;
x² = y² + z²
From the information given, we have that;
z = 3m
x = x + 1
y = x
Substitute the values, we get
(x + 1)² = x² + 3²
Find the squares
(x + 1) ² = 9 + x²
expand the bracket
(x + 1) ( x + 1) - x² = 9
x² + x + x + 1 - x² = 9
collect like terms
2x = 8
x = 4
Then,
x + 1 = 5
x = 4
Hence, the values are 4m and 5m
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A pack of batteries that come in a 48 count are $24.98 what is the unit price of just one battery?
Answer A pack of batteries that come in a 48 count are $24.98 what is the unit price of just one battery is $0.50
help please
Find the area of a regular hexagon with an apothem 8.7 centimeters long and a side 10 centimeters long. Round your answer to the nearest tenth.
Answer:196.65
Step-by-step explanation:
3
- 3
19 ÷ +525
(Simplify your answer.)
Answer:
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
Identify the y-coordinate
(9,[?])
Answer:
(9,16)
Step-by-step explanation:
We Know
The equation y = 3x - 2
Find the y coordinate (9, ?)
We just simply put 9 in for x and solve for y
y = 3(9) - 2
y = 18 - 2
y = 16
So, the coordinate are (9,16)
Suppose that there were a positive correlation between the variables u and v. If v is 24 when u is 10, which of these is most likely to be the value of v when u is 20?
Answer:
The correct answer is 48, given by option c.
Step-by-step explanation:
This question can be solved by proportions, using a rule of three.
Positive correlation means that the variables are directly proportional, and thus, we apply cross multiplication.
If v is 24 when u is 10, which of these is most likely to be the value of v when u is 20?
24 - 10
x - 20
Applying cross multiplication:
\(10x = 24*20\)
Simplifying both sides by 10:
\(x = 24*2 = 48\)
The correct answer is 48, given by option c.
Find the perimeter of this shape
The perimeter of the given shape as represented in the task content is; 29 cm.
What is the perimeter of the given shape?It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.
Since each grid line has 1cm as it's length;
The perimeter of the shape is the sum of all side lengths of the shape;
Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1
P = 29 cm
Hence, the perimeter of the shape is; 29 cm.
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Seraphina says that ΔKLM is a right triangle. Is she correct?
Seraphina is correct. The sum of the squares of the two legs of the triangle is equal to the square of the hypotenuse.
Seraphina is not correct. The sum of the squares of the two legs of the triangle is not equal to the square of the hypotenuse.
Seraphina is correct. In the diagram, side KM looks perpendicular to side ML, so the triangle must be a right triangle.
Seraphina is not correct. The sum of the legs, 12 cm and 16 cm, does not equal the length of the hypotenuse, 19 cm.
Answer:
B. Seraphina is not correct. The sum of the squares of the two legs of the triangle is not equal to the square of the hypotenuse.
Step-by-step explanation:
If KLM is a right triangle, then 12^2+16^2=19^2,
144+256 = 361
400 = 361 false
so, KLM is not a right triangle as the sum of the squares of the two legs are not equal to the square of the hypotenuse.
The sum of the squares of the two legs of the triangle is not equal to the square of the hypotenuse. Seraphina is incorrect.
What is a Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).
Seraphina says that ΔKLM is a right triangle.
Let us check whether triangle ΔKLM is a right triangle or not.
By the Pythagoras theorem, we have
19² = 16² + 12²
361 = 256 + 144
361 ≠ 400
Thus, the triangle is not a right triangle.
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Stock purchase for $170 is now worth $251 what is the percentage increase of value
Answer:
47.647% Increase
Step-by-step explanation:
You need to find the amount it increased by first, so
251-170=81
Then you need to find what percent of 170 that is, so
81/170=0.47647
Finally multiply that by 100 to get the percent:
0.47647×100=47.647%
...
Sebastian opened a bank account with
$125. He purchased groceries for $87.
Then he went to the movies and spent
$43. How much money does he have in
his bank account?
Answer:-5
Step-by-step explanation:
i could be wrong i used my calculator
Solve the equation for the y-value and choose whether it is a direct variation or inverse variation.
xy = 7
A. direct variation
B. inverse variation
\(\\ \sf\longmapsto xy=7\)
Take x to right and divide\(\\ \sf\longmapsto y=\dfrac{7}{x}\)
Hence
.\(\\ \sf\longmapsto y\propto \dfrac{1}{x}\)
Inverse variation
ASAP!!! Answer the following include all steps
Question 1:
(a) The equation representing Elaine's total parking cost is:
C = x * t
(b) So the cost of parking for a full 24 hours would be 24 times the cost per hour.
Question 2:
The given system of equations is inconsistent and has no solution.
(a) To represent Elaine's total parking cost, C, in dollars for t hours, we need to know the cost per hour. Let's assume the cost per hour is $x.
(b) If Elaine wants to park her car for a full 24 hours, we can substitute t = 24 into the equation from part (a):
C = x * 24
Question 2:
To solve the linear system:
-x - 6y = 5
x + y = 10
We can use the elimination method.
Multiply the second equation by -1 to create opposites of the x terms:
-x - 6y = 5
-x - y = -10
Add the two equations together to eliminate the x term:
(-x - 6y) + (-x - y) = 5 + (-10)
-2x - 7y = -5
Now we have a new equation:
-2x - 7y = -5
To check the answer, we can substitute the values of x and y back into the original equations:
From the second equation:
x + y = 10
Substituting y = 3 into the equation:
x + 3 = 10
x = 10 - 3
x = 7
Checking the first equation:
-x - 6y = 5
Substituting x = 7 and y = 3:
-(7) - 6(3) = 5
-7 - 18 = 5
-25 = 5
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The area of a square is 144 cm^2. Find the length of the diagonal of the square.
Answer:16.97cm
Step-by-step explanation:
d=2A=2·144≈16.97056cm
a standardized test has 125 questions with a total of 1300 points
Answer:
Ummmm.... Whats your qustion???? Im confused...
Step-by-step explanation:
Please look at the pic and help!!
Answer:
4x² + 22x - 12
Step-by-step explanation:
A = bh/2
A = (4x - 2)(2x + 12)/2
A = (8x² + 48x - 4x - 24)/2
A = (8x² + 44x - 24)/2
A = 4x² + 22x - 12
Write 69200000 in scientific notation
69200000 in scientific notation is 6.92 × 10⁷.
How to represent number in scientific notation?Scientific notation is a form of presenting very large numbers or very small numbers in a simpler form.
Scientific Notation is a special way of writing numbers:
For example 800 is written as 8 × 10² in Scientific Notation.
Therefore, let's write the scientific notation of the number 69200000.
Hence,
69, 200, 000 = 6.92 × 10⁷
The logic is that we will count backwards until we meet the last number. Since we counted towards the left side, the exponent will be positive.
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Pls help I give u 50 points
Answer:
interest: $60
Payment: $360
Step-by-step explanation:
I = Prt
Interest for four years = 300 * 0.05 * 4 = 60
P = P₁ + I = 300 + 60 = 360
Plss this is timed will mark brain least if shown work!
Answer:
good
Step-by-step explanation:frog
Find the area of the figure. Type your answer as just a number, without units.
The area of the polygon is 696
What is area of polygon?A polygon is any closed curve consisting of a set of line segments connected such that no two segments cross.
The area of a polygon is is expressed as
A = 1/2 × p × a
where p is the perimeter and a is the apothem
perimeter = n × s
where n is the number of side and s is the side length.
P = 8 × 12 = 96
A = 1/2 × 96 × 14.5
A = 1392/2
A = 696
Therefore the area of the polygon is 696
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A race car driver won a 700 mile race with a speed of 192.9 miles per hour. Find the drivers time
9514 1404 393
Answer:
3:37:43.8
Step-by-step explanation:
The relevant relation is ...
time = distance / speed
time = (700 mi)/(192.9 mi/h) ≈ 3.628823 h
≈ 3:37:43.8 . . . . HH:MM:SS
The driver's time was about 3 hours, 37 minutes, 43.8 seconds.
_____
Additional comment
Multiply 60 minutes by the fraction of hours to get minutes.
60×0.628823 ≈ 37.729393 . . . minutes
Multiply 60 seconds by the fraction of minutes to get seconds.
60×0.729393 ≈ 43.76 . . . seconds
Intermediate values in the calculation should not be rounded. Full calculator precision should be maintained until the final answer.
x-3/18=12/9 find proportion
I thought of a number. My friend thought of a number too. A third of my number is a half of his number. Who's number is bigger?
Answer:
yoours
Step-by-step explanation:
thanks again for your time and consideration and I am a kid I am a kid
Is 92 divisible of 3
Answer:No but it is 30.7
Step-by-step explanation:
Answer: No, 92 isn't divisible of 3.
Step-by-step explanation: We can see that the sum of the digits in this case is 11 and this number is not divisible by 3, which means that 92 is also not divisible by 3.
PLEASE ANSWER ASASP AND GIVE BRAINLEST!!!!!!!!!!!!!
The equation c = 2.5t represents the cost, c, for t tickets to the school play. Does a value of 3.5 for t make sense in this situation? Explain your reasoning.
Answer:
No
Step-by-step explanation:
Number of tickets can only be represented by integer values. A value of 3.5 for t would imply you can purchase three and a half tickets, which isn't possible.
Which expression is equivalent to √-80
O 4√5
O -4√√51
4√√51
O 4√√5
Answer: \(4i\sqrt{5}\)
Step-by-step explanation:
\(\sqrt{-80}\\\\=\sqrt{-1} \sqrt{80}\\\\=\sqrt{-1} \sqrt{16} \sqrt{5}\\\\=4i\sqrt{5}\)
None of the provided options is equivalent to √-80.
We have,
To simplify the expression √-80, we need to determine the square root of -80.
However, since -80 is a negative number, its square root is not a real number.
The square root of a negative number is usually expressed using the imaginary unit "i," where i = √(-1).
In this case, we can rewrite the expression as:
√(-1 * 80) = √(-1) * √(80) = i * √(80).
Therefore,
None of the provided options is equivalent to √-80.
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The length of a rectangle is 5 cm more than its width. If the perimeter is 58cm, calculate:
(a) Write an equation to show the perimeter of the rectangle ?
(b) calculate:
I.width
II.length
III. the area of the rectangle
The equation to show the perimeter of the rectangle is P = 2(2w + 5)
Writing an equation to show the perimeter of the rectangleFrom the question, we have the following parameters that can be used in our computation:
Length = 5 more than the width
Also, we have
Perimeter = 58
This means that
P = 2(w + 5 + w)
P = 2(2w + 5)
Calculating the dimensions and the areaIn (a), we have
P = 2(2w + 5)
This gives
2(2w + 5) = 58
So, we have
2w + 5 = 29
2w = 24
w = 12
Next, we have
l = 12 + 5
l = 17
Lastly, we have
Area = 17 * 12
Area = 204
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How to solve adjacent angles?
Answer:
D
Step-by-step explanation:
1 + 4x and 57° are corresponding angles and are congruent , so
1 + 4x = 57 ( subtract 1 from both sides )
4x = 56 ( divide both sides by 4 )
x = 14
A sphere has a diameter of 8 cm. Which statements about the sphere are true? Check all that apply.
The sphere has a radius of 4 cm.
The sphere has a radius of 16 cm.
The diameter's length is twice the length of the radius.
The radius's length is twice the length of the diameter.
2048
The volume of the sphere is
3
cm.
256
The volume of the sphere is
cm?
Plzzz help
Answer:
first is true
second is false
third is true
fourth is false
the last few questions about the volume are a little choppy, but the correct volume is 268cm³.
Step-by-step explanation:
hope this helps<<3