Answer:
225 adult tickets were sold
To determine the number of adult tickets sold for the school play, we set up an equation with the variable representing adult tickets, and considered that there were 53 more student tickets sold than adult tickets. Solving the equation given the total number of tickets (503), we found that 225 adult tickets were sold.
The question is asking us to find out how many adult tickets were sold for the school play when given the total number of tickets and the information that there were 53 more student tickets sold than adult tickets. To do this, we'll let the number of adult tickets be represented by x and the number of student tickets be x + 53, as there were 53 more student tickets than adult tickets.
The total number of tickets sold is 503, which is the sum of adult tickets and student tickets. So, x (adult tickets) + (x + 53) (student tickets) = 503. Combining like terms, we get 2x + 53 = 503. Subtracting 53 from both sides, we have 2x = 450. Dividing both sides by 2 gives us x = 225. Therefore, 225 adult tickets were sold.
What is 7 squared in standard form
Answer:
49
Step-by-step explanation:
7 times 7 is 49.
standard form of 7 squared is [tex]7^{2}[/tex].
What is Standard Form?Standard form is a way of writing a number, so it is easier to read. It is often used for very large or very small numbers. We use exponents to represent such numbers in standard form.
7 squared is written in the standard form as,
[tex]7^{2}[/tex] , where 7 is base and 2 is the exponent.
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∠1 and ∠2 form a straight angle. ∠1 has a measure of 28°.
What is the measure of ∠2? PLZ HELP
Answer:
∠2 = 152
Step-by-step explanation:
A straight angle should always equal 180, and that is really the key to how we answer this problem. That means that ∠1 and ∠2 are supplementary, and add up to 180°.
That means that 180-28, will give us our other angle.
Answer:
152°
Step-by-step explanation:
Angles on a straight line add up to 180°
Angle 2 + 28 = 180
Angle 2 = 180 - 28
= 152°
Express the shaded area as a fraction, a decimal, and as a percent of the whole .
Answer:
Fraction- 44/100 or 11/25
decimal- 0.44
Percent- 44%
1. Write the ratio in the simplest form. (1 point)
45:15
9:3
3:1
1:3
4:1
Answer:
45:15=9:3=3:1
9:3=3:1
3:1 stays the same.
1:3 stays the same.
4:1 stays the same.
The simplify ratios such as 45:15 and 9:3. The simplified form of 45:15 and 9:3 is 3:1. The correct option is B.
To write the ratio 45:15 in the simplest form, you have to divide both numbers by their greatest common divisor (GCD), which in this case is 15.
So, 45 divided by 15 is 3, and 15 divided by 15 is 1, which gives us the simplified ratio of 3:1.
[tex]\frac{45}{15} = \frac{3}{1}[/tex]
For the ratio 9:3, again, we divide both numbers by their GCD, which is 3, resulting in the simplified ratio 3:1.
The ratio 3:1 is already in its simplest form.
1:3 is the simplest form and 4:1 is the simplest fraction.
What is the solution to the equation below?
5 - n/2 = 12
Step-by-step explanation:
5 - n/2 = 12
10/2 - n/2 = 12
n = (12 × (-2)) + 10
n = (-24) + 10
n = -14
Let's prove it :
[tex]5 - ( - \frac{14}{2} ) \\ = \frac{10}{2} + \frac{14}{2} \\ = \frac{24}{2} \\ = 12[/tex]
Conclusion :
5 - n/2 = 12
5 - (-14/2) = 12
and
n = -14
calcule o valor numérico da expressão a seguir -2/3+1-3/2.8/9
Answer:
The calculated value is "0.214"
Step-by-step explanation:
Given expression :
[tex]\bold {\frac{-2}{3}+ 1 -\frac{3}{\frac{2.8}{9}} }\\[/tex]
solution:
[tex]\Rightarrow \frac{-2}{3}+ 1 -\frac{3}{\frac{2.8}{9}}\\\\\Rightarrow \frac{-2}{3}+ 1 -\frac{3}{\frac{2.8}{\frac{9}{1}}}\\\\\Rightarrow \frac{-2}{3}+ 1 -\frac{3}{2.8} \times \frac{1}{9}}}\\\\\Rightarrow \frac{-2}{3}+ 1 -\frac{1}{8.4}\\\\\Rightarrow \frac{-16.8 + 25.2- 3}{25.2}\\\\\Rightarrow \frac{5.4}{25.2}\\\\\Rightarrow 0.214[/tex]
A quiz has eight multiple choice questions with four options for each ( A B C & D ) how many ways are there to answer the question
Answer:
1680 ways.
Step-by-step explanation:
This question is solved using Permutation formula.
Permutation formula is given as
nPr = n! / (n -r)!
In the above question we are to find how many ways we can answer 8 multiple choice questions with 4 options(A, B,C,D)
Therefore,
n = 8 multiple choice questions
r = 4 options
nPr = n! / (n - r)!
8P4 = 8! / ( 8 - 4) !
8P4 = 8! / 4!
8P4 = (8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) / (4 × 3 × 2 × 1)
8P4 = 40320 / 24
8P4 = 1680 ways
Therefore, the number of ways to answer 8 multiple choice questions with 4 options (A, B, C, D) for each is 1680 ways.
Answer:
65,536 ways.
Step-by-step explanation:
The Fundamental Counting Principle states that:
"If decision M can be made m ways and decision N can be made n ways, then the two decisions can be made m⋅n ways"
Therefore, we can create a model of the eight questions by drawing eight blanks:
_ _ _ _ _ _ _ _
Then, filling in each "question" with the number of options for each, which is four:
4 4 4 4 4 4 4 4
And finally, we can multiply the fours together, which would be 4⋅4⋅4⋅4⋅4⋅4⋅4⋅4 or 4⁸, which is equal to 65,536.
I hope this helps! :D
You discovered 1000 grams of an unknown element called Coolium 23 that has a half life 23 days. How long will it take for you to have 600 grams remaining.
Answer:
13.8 days
Step-by-step explanation:
In this case we can solve it by means of a rule of three, knowing the amount of life for 1000 grams, it must be proportional for 600 grams, like this:
grams days
1000 23
600 x
x = 600 * 23/1000
x = 13.8
which means that for the 600 grams it would be an average life of 13.8 days.
On a bike ride, Aaron travels 6 miles east of his apartment and then 8 miles north. If, at this point, Aaron decided to travel a straight line distance back to his apartment, how many total miles would he have traveled?
Answer:
10 miles
Step-by-step explanation:
Use pythagorean theorem:
[tex]6^{2} +8^{2} = 10^{2}[/tex]
Which volume could belong to a cube with a side length that is an integer? Recall the formula Cube volume = s cubed. 18 cubic inches 36 cubic inches 64 cubic inches 100 cubic inches
We have been given 4 choices. We are asked to choose the volume that could belong to a cube with a side length that is an integer.
We know that volume of a cube is cube of each side length.
To solve our given problem, we will take cube root of each given value. The cube root of which value will be an integer that will be our correct choice.
A. [tex]s^3=18[/tex]
[tex]\sqrt[3]{s^3}=\sqrt[3]{18}[/tex]
[tex]s=2.62074[/tex]
Since cube root of 18 is not an integer, therefore, 18 is not a correct choice.
B. [tex]s^3=36[/tex]
[tex]\sqrt[3]{s^3}=\sqrt[3]{36}[/tex]
[tex]s=3.301927[/tex]
Since cube root of 36 is not an integer, therefore, 36 is not a correct choice.
C. [tex]s^3=64[/tex]
[tex]\sqrt[3]{s^3}=\sqrt[3]{64}[/tex]
[tex]s=4[/tex]
Since cube root of 64 is 4 and 4 is an integer, therefore, 64 is the correct choice.
D. [tex]s^3=100[/tex]
[tex]\sqrt[3]{s^3}=\sqrt[3]{100}[/tex]
[tex]s=4.641588[/tex]
Since cube root of 100 is not an integer, therefore, 100 is not a correct choice.
Answer:
c
Step-by-step explanation:
have a nice day :)
Please help ASAP! I will give you brainliest!!!
Greg rode his bike 30 miles to the summit averaging 10 miles
per hour. Then, he rode back down averaging 30 miles per hour. How
far did he ride? How long did it take him? What was his average speed?
Explain why Greg’s average speed is not 20 miles per hour.
Answer:
greg is riding his bike fast
Step-by-step explanation:
Answer:
Step-by-step explanation: im going to break down that is all 30 miles 10 miles per hours so it takes ''3 ''hours to reach the top so it took 4 houser for him to travel all his way lol so he rid 30 miles so thair
dont give me brainiest
Which line appears to have the same slope as the equation x-y=4 and has a y-intercept that is 2 units above the y-intercept of the given equation?
Answer:
B
Step-by-step explanation:
First, find the y-intercept form of the equation:
x - y = 4
x - x - y = 4 - x
-y = 4 - x
-y = -x + 4
-y/-1 = -x/-1 + 4/-1 (to get the y positive)
y = x - 4
The y-intercept is -4. This means that a y-intercept two units above 4 would be -2. Whichever line crosses the y axis at the value of -2 is the answer (line B)
hope this helps :)
Diego has $100 and spends ¼ of it. How much does he have left?
Answer:
$75
Step-by-step explanation:
Answer:75
Step-by-step explanation:
Find the value of x.
A.71
B.72
C.73
D.75
Answer:
73
Step-by-step explanation:
When you have a line intersecting another line, the angles produced by the intersection will be equal to 180.
This means that (-39 + x) + 146 = 180. Solve for x.
(-39 + x) + 146 = 180
-39 + x = 34
x = 73
Which Pythagorean identity is correct?
Answer:
2nd one is the correct answer
Step-by-step explanation:
[tex] { \tan}^{2} ( \theta) + 1 = { \sec}^{2} ( \theta) \\ [/tex]
Answer:
b
Step-by-step explanation:
Suppose you decided to keep flipping a coin until tails came up, at which
point you would stop. What is the probability of tails coming up on the 4th flip
of the coin? Round your answer to the nearest tenth of a percent.
A. 3.1%
B. 6.3%
C. 1.6%
D. 12.5%
Answer:
B. 6.3%
Step-by-step explanation:
For each time that the coin is tosse, there are only two possible outcomes. Either it comes up tails, or it does not. The probability of coming up tails on a toss is independent of any other toss. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Fair coin:
Equally as likely to come up heads or tails, so [tex]p = 0.5[/tex]
Probability that the first tails comes up on the 4th flip of the coin?
0 tails during the first three, which is P(X = 0) when n = 3.
Tails in the fourth, with probability 0.5. So
[tex]p = 0.5P(X = 0)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]p = 0.5P(X = 0) = 0.5*(C_{3,0}.(0.5)^{0}.(0.5)^{3}) = 0.0625[/tex]
0.0625 * 100 = 6.25%
Rounding to the nearest tenth of a percent, the correct answer is:
B. 6.3%
Answer: C 1.6 APE.X approved
Câte diagonale are un poligon cu 5 laturi, dar cu 6 laturi?
Your question isn't clear. But I infer this is the clear rendering of it;
How many diagonals does a polygon have with 5 sides, but with 6 sides?
Answer:
a. For 5 sides= 5
b. For 6 sides= 9
Step-by-step explanation:
Remember, this is the formula to calculate the number of diagonals of a polygon;
n (n-3) / 2 where n is the sides.
Thus,
for 5 sides= 5 (5-3) /2
= 5 (2) /2 = 10/2= 5
for 6 sides= 6 (6-3) /2
= 6 (3) /2 = 18/2= 9
What is the reciprocal of 0.125
A dad buys a ball and a team cup for each of the 10 players on the dodgeball team. Each team cup costs $8.50. The dad spends a total of $279 for the balls and team cups. Write an equation that models the situation with u, the cost of one ball.
I don't know if its 279 = 8.50 + 10u Help
Step-by-step explanation:
shhhhh I don't want to go back into this country and climate it all in the world and bottom of all the sun and the world in which I am a place to go for a long period
HELP ASAP 1st answer gets brainlyest
Which of the following symbols indicates that a value is included in a solution set.
○
●
≠
=
Answer:
The answer would be the B . I assume your talking about a number line.
Step-by-step explanation:
Answer:
○ is your answer
Step-by-step explanation:
brainliest please
3/7 de los estudiantes en una escuela están en sexto grado. Si la escuela tiene x estudiantes, escriba una expresión para el número de estudiantes de sexto grado en términos de x.
Answer:
hard
Step-by-step explanation:
why is completing the square called 'completing the square'?
Answer:
I'm not too sure, since I'm doing the same thing in math now too. I think it's since you're adding another number that is a perfect square in order to factor the quadratic equation.
Step-by-step explanation:
The table shows the prices of 8 different treadmills at a sporting goods
store. This week the store is having a 50% off sale on all treadmills. What
are the mean, median, mode and range of the discounted prices?
$640 $810||$755 $810
$1175 $900 $1080 $530
mean: $736.25, median: $900; mode: $810; range: $645
mean: $837.50; median: $810; mode: $810; range: $645
mean: $368.13, median: $450; mode: $405; range: $322.50
mean: $418.75; median: $405; mode: $405; range: $322.50
The mean of the discounted prices is $736.25, the median is $810, the mode is $810, and the range is $645.
Explanation:To find the mean of the discounted prices, we add up all the prices and divide by the total number of prices. In this case, the mean is $736.25 because (640 + 810 + 755 + 810 + 1175 + 900 + 1080 + 530) / 8 = 736.25.
To find the median of the discounted prices, we arrange the prices in ascending order and find the middle value. Since there are 8 prices, the median is the average of the 4th and 5th values, which are $810 and $810, respectively. So, the median is $810.
To find the mode of the discounted prices, we look for the value that appears most frequently. In this case, $810 appears twice, which is more often than any other price. Therefore, the mode is $810.
To find the range of the discounted prices, we subtract the smallest price from the largest price. In this case, the range is $645 because $1175 - $530 = $645.
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Y=1/2x-6
X=-4
What is the solution to the system of equations
A. (-8,-4)
B.(-4,-8)
C.(-4,4)
D.(4,-4)
Answer:
B. (-4, -8)
Step-by-step explanation:
Put -4 into the first equation where x is, then evaluate. You will find ...
y = (1/2)(-4) -6 = -2 -6 = -8
Then the point that satisfies both equations is ...
(x, y) = (-4, -8) . . . . matches choice B
___
You can eliminate choices A and D, because they don't have -4 for the x-value.
In Circle M, points A, B, and C are located on the circle such that measure angle CBM equals to 34 degrees. What represents angle CAB
Answer:
Angle CAB=56 degrees
Step-by-step explanation:
See the attached image for the diagram.
In triangle BMC
|BM|=|MC| (Radii of a Circle)
Therefore, triangle BMC is an Isosceles Triangle; and
[tex]\angle CBM=\angle BCM=34^\circ[/tex]
[tex]\angle CBM+\angle BCM+\angle BMC=180^\circ$ (sum of \angle s$ in a triangle)\\34^\circ+34^\circ+\angle BMC=180^\circ\\\angle BMC=180^\circ-68^\circ=112^\circ[/tex]
Next,
[tex]\angle BMC=2\angle CAB $(Angle at center is twice angle at circumference)\\112^\circ=2\angle CAB\\\angle CAB=112^\circ \div 2\\\angle CAB=56^\circ[/tex]
Answer:
The answer is Angle CAB=56 degrees
Step-by-step explanation:
evaluate the expression
9. 225
Simplify the radical expression. Use absolute value symbols if needed.
√400x^2y^6
A. 20|x|y^3
B. 20|x|y^4
C. 20|xy^3|
D. 20xy^4
Answer: CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
Step-by-step explanation: HOPE IT HELPS YOU
— 3 — 5 — 6g = 11 – 3g
Answer:
- (19/3)
Step-by-step explanation:
-3-5-6g=11-3g
-8-6g=11-3g
-3g=19
g= - (19/3)
Two lines defined by the equations $y = mx + 4$ and $y = 3x + b$, where $m$ and $b$ are constants, intersect at the point $(6, 10)$. What is the value of $b + m$?
Answer:
-7
Step-by-step explanation:
The two lines intersect at the point (6,10), so this point belongs to both lines. This means that if we use the value of x = 6 in the lines, we will find y = 10
So we can use this point to find the values of b and m:
y = mx + 4
10 = 6m + 4
6m = 6
m = 1
y = 3x + b
10 = 3*6 + b
b = 10 - 18 = -8
So the value of b + m is -8 + 1 = -7
After substituting the intersection point (6, 10) into both line equations and solving for m and b respectively, we find that the value of b + m is -7.
To find the value of b + m when two lines intersect at the point (6, 10), we can substitute the coordinates of the intersection point into both line equations. Since the coordinates (6, 10) must satisfy both equations, we have:
For the first equation y = mx + 4:
10 = m*6 + 4,
which simplifies to:
m = 1.
For the second equation y = 3x + b:
10 = 3*6 + b,
which simplifies to:
b = -8.
Having both values, we can now calculate b + m:
b + m = (-8) + 1 = -7.
The value of b + m is -7, which represents the sum of the y-intercept of the second line and the slope of the first line.
Out of the 30 days in June, you run 13 days and swim 6 days. You lift weights 7 days and ride a bike 4 days. If you make a pie chart to show this data, how many degrees of the circle should represent swimming?
Answer:
3. 72 degrees
Step-by-step explanation:
We can convert the values to percentage values and since a circle is 360°, we can multiply the percentages with 360° to get the degrees. The total of day is all the the things added up:
= 13+6+7+4=30
Percent swimming:
=(6/30) times 360= 72
Answer is 72 degrees
Answer:
Step-by-step explanation:
swim = 6/30= 0.2 -> 0.2*360 = 72 degree
run = 13/30= 0.433 -> 0.4333 *360 = 156 degree
lift weight = 7/30 = 0.23333 -> 0.23333 *360 = 84 degree
ride bike = 4/30 = 0.133333 -> 0.133333 *360 = 48 degree