Answer:
Number of children's ticket sold =41Number of adult ticket sold=53Step-by-step explanation:
Adult's ticket price= $2.50
Children's ticket price= $1.25
Let the number of children's ticket sold =xOne performance sells 12 more tickets to adult than children.
Therefore, the number of adult ticket sold =x+12In total they make $183.75.
Therefore, we have that:
1.25x+2.50(x+12)=$183.75
We solve the resulting equation for x.
Open the brackets
1.25x+2.5x+30=183.75
Collect like terms
3.75x=183.75-30
3.75x=153.75
Divide both sides by 3.75
x=41
Therefore:
Number of children's ticket sold ,x=41Number of adult ticket sold, x+12 =41+12=53The cost of each white tile was £2 the cost of each blue tile was £4 b) work out the ratio of the total cost of the white tiles to the total cost of the blue tiles
Answer:
2b) 4/2=2
3) 80/60=8/6
Using the order of operations, what should be done first when evaluating this expression?
-1/2 divided by 2(9+3)-4-3/4(8)
Answer:
[tex]-\frac{16}{17}\\-0.94117[/tex]
Step-by-step explanation:
[tex]\frac{-\frac{1}{2}}{\frac{2\left(9+3\right)-4-3}{4\left(8\right)}}\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\frac{-\frac{1}{2}}{\frac{2\left(9+3\right)-4-3}{4\cdot \:8}}\\\frac{2\left(9+3\right)-4-3}{4\cdot \:8}=\frac{17}{32}\\\frac{2\left(9+3\right)-4-3}{4\cdot \:8}\\2\left(9+3\right)-4-3=17\\2\left(9+3\right)-4-3\\2\left(9+3\right)=24\\2\left(9+3\right)\\\mathrm{Add\:the\:numbers:}\:9+3=12\\=2\cdot \:12\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:12=24\\=24-4-3[/tex]
[tex]\mathrm{Subtract\:the\:numbers:}\:24-4-3=17\\=\frac{17}{4\cdot \:8}\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:8=32\\=\frac{17}{32}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}\\=-\frac{\frac{1}{2}}{\frac{17}{32}}\\\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}\\=-\frac{1\cdot \:32}{2\cdot \:17}\\Refine\\=-\frac{32}{2\cdot \:17}\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:17=34\\=-\frac{32}{34}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:2\\=-\frac{16}{17}\\\mathrm{Decimal:\quad }\:-0.94117[/tex]
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.
Answer:
B, The test contains 10 three-point questions and 14 five-point questions.
Step-by-step explanation:
x + y = 24
3x + 5y = 100
1. Rearrange the first equation to isolate either x or y.
x = -y + 24
2. Plug this new equation into the second equation to find the value of y.
3(-y + 24) + 5y = 100
-3y + 72 + 5y = 100
2y + 72 = 100
2y = 28
y = 14
3. Plug the value of y back into the other equation to find the value of x.
x = -14 + 24
x = 10
There are fourteen 5-point questions and ten 3-point questions.
Answer:
b) The test contains 10 three-point questions and 14 five-point questions.
Step-by-step explanation:
edgen2020
help please, I don't know it please
Answer:
second payment from the left
Step-by-step explanation:
A car loan should decrease as time passes when you make regular payments
This should be the second payment from the left
A box is filled with9 yellow cards,2 red cards, and 9 blue cards. A card is chosen at random from the box. What is the probability that the card is not red? Write your answer as a fraction in simplest form.
Answer: 9/10
Step-by-step explanation:
Total cards are 20
Out of these, only 2 are red. So, the probability of the card not being red is 18/20 = 9/10
Answer:
Brainliest here! >:D
Step-by-step explanation:
the is a total of 20 cards
2 of them of red
so 18 of the 20 (18/20) is not red
so the probability theroticatily is 9/10 or 90%
Pablo has 0 pieces of candy and wants to divide them into 2 equal piles. You want to know how many pieces will be in each pile? Can you divide zero into 2 equal parts?
Answer:
no
Step-by-step explanation:
you cannot divide zero into two equal parts because there is nothing there to start. Since Pablo has no candy, he cannot divide it into two piles because there isn't anything to divide.
Answer: No because 0 means nothing and you can't divide nothing among something so that is like undefined.
Step-by-step explanation:
HELP!! IMPORTANT!! PLEASE HELP!!
John checked his answer and found that it was incorrect. John’s work is below. What did he do incorrectly?
ℎ + 10 = 25
ℎ + 10 + 10 = 25 + 10
ℎ = 35
Please list everything he did incorrectly! Thank you!!
Answer:
he added 10 instead of subtracting 10 to isolate the variable, then he just removed the 20 that would be with the variable
Step-by-step explanation:
Triangle A C D is shown. Point B is near the center of the triangle. Angle A C D is bisected by line segment C B. Lines are drawn from point B to points A and D to form 3 triangles within the larger triangle. Angle C B D is 125 degrees. The length of line segment A C is 52 centimeters and the length of line segment B D is 29 centimeters. If Line segment C B. bisects ∠ACD, what additional information could be used to prove ΔABC ≅ ΔDBC using SAS? Select three options. m∠ABC = 125° and AB ≅ DB ΔACD is isosceles with base AD ΔABD is isosceles with base AD CD = 52 cm AB = 29 cm
Answer:
it's A B D i don't know why the other person couldn't have just said that and make it look confusing
Answer:
A< B< D
Step-by-step explanation:
You calculated the standard deviation of the sample mean differences to be .69. You also calculated the sample mean difference to ge 1.74. Now you'll determine whether the difference is significant
Answer:
Since [tex]|Z| = 2.52 > 2[/tex], the difference is significant.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
If |Z| > 2, the measure X is significent.
In this question:
[tex]|X - \mu = 1.74|, \sigma = 0.69[/tex]
So
[tex]Z = \frac{1.74}{0.69} = 2.52[/tex]
Since [tex]|Z| = 2.52 > 2[/tex], the difference is significant.
what is the quotient of x^2-9x+14/x-7
A jar contains 7 orange, 3 yellow, and 5 blue marbles. If you pick one without looking, what is the probability that the marble you pick will be neither orange nor yellow?
show work pls tnx!
Answer:
The probability would be 5/15 or 1/3
Total = 7+3+5
= 15
yellow = 3
orange = 7
blue marbles = 5
Answer:
⇒Pgreen or yellow=5\11
Step-by-step explanation:
Probability here is the chance of selection out of a total. So, we need to first find the total number of marbles.
total
=
5
+
3
+
2
+
1
=
11
So there are
11
marbles total. The probability that we pick one of the
3
green marbles out of the
11
is simply that ratio:
P
green
=
3
11
Same idea for yellow:
P
yellow
=
2
11
The probability of picking either of these colors is simply the sum of their probabilities.
P
green or yellow
=
P
green
+
P
yellow
=
3
11
+
2
11
=
5
11
help
kiloikuhgrfdsxdcfgbhujolp0;polk
Answer: 1. infinitely many solutions
2. no solution
3. one solution
4. no solution
5. infinitely many solutions
Step-by-step explanation:
1. infinitely many solutions - when it is consistent and the number of variables is more than the number of nonzero rows
2. no solution - would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable.
3. one solution - which is when one variable equals one number
4. no solution
5. infinitely many solutions
Marquis has 7 cups of yogurt. He gives his sister 3 3 5 cups of the yogurt, how much of Marquis’s yogurt remains?
Answer:
If you meant 3.5 then its 3.5.
Olivia is sorting through the coins in her bank to determine how
much money she has. She sees that she has $3.25 in quarters.
The equation 0.25x $3.25 can be used to figure out how
many quarters are in Olivia's bank. Using substitution, Olivia
Answer:
It is 13 quarters.
Step-by-step explanation:
0.25x=3.25
Solve for x in the diagram below.
3x
75°
T =
Answer:
x=35
Step-by-step explanation:
The 2 angles are on a straight line together. This means they are supplementary. When they are added together, they must equal 180 degrees.
3x+75=180
We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
75 is being added to 3x. The opposite of addition is subtraction. Subtract 75 from both sides.
3x+75-75=180-75
3x=180-75
3x=105
x is being multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.
3x/3=105/3
x=105/3
x=35
x is equal to 35.
I have a box of 24 different types of cup cakes. 1⁄2 of the cupcakes are vanilla. 1⁄8 of the cupcakes are strawberry. And the rest of the cupcakes are chocolate. How many of each type of cupcake do we have?
Answer:
21 7/8 is choclate
1/2 or 2 is vanilla
1/8 is strawberry
Step-by-step explanation:
1/2 x 4 is is 2
1/8 < 2
2 of the cupcakes (into eights) are vanilla from which a dominatorof 8
2 plus 1/8 is 2 1/8
24 - 2 1/8 is 21 7/8
four rational numbers between 2/3 and 4/5
Answer:
5/7, 11/15, 23/31, 47/63
Step-by-step explanation:
any number you can write into a fraction between those numbers
what is the area of the circle?
Answer:
Area =28.27
Step-by-step explanation:
Answer:
The area of circle:
[tex]A \approx 28.27[/tex] [tex]m^2[/tex]
Step-by-step explanation:
To find the area of circle, you need this formula:
[tex]A = \pi r^2[/tex]
-After have the formula set up, use the given radius for the formula:
[tex]A = \pi 3^2[/tex]
-Then, you solve:
[tex]A = \pi \times 3^2[/tex]
[tex]A = \pi \times 9[/tex]
[tex]A = 9\pi \approx 28.27[/tex] [tex]m^2[/tex]
-So, the area of a circle is [tex]28.27[/tex] [tex]m^2[/tex] .
For which table would 70 be the missing value,x?
It is C
The Stone and Pounds
Answer:
c
Step-by-step explanation:
A scale drawing has a scale of 3in:1ft. What is the scale factor?
Answer:
1 : 4
Step-by-step explanation:
Remember, your units have to match, so
3 in : 1 ft
doesn't look right, change 1 ft to 12 in.
3 in : 12 in
reduce by 3
1 : 4
How many edges does the following shape have?
Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. Let x represent the number of fiction books and y represent the number of nonfiction books. Which system of linear equations represents the situation?
x + y = 26 and x + y = 12
x + y = 26 and x – y = 12
x + y = 26 and –x + y = 12
x – y = 26 and x + y = 12
Answer:
x + y = 26 and x – y = 12
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
just did it
Using the given zero, find one other zero of f(x). Explain the process you used to find your solution.
1 - 6i is a zero of f(x) = x4 - 2x3 + 38x2 - 2x + 37.
Answer:
[tex]1+6i[/tex]
Step-by-step explanation:
The expression [tex]1-6i[/tex] represents a complex number. Particularly, complex solutions can't happen in odd number, for example, the minimum complex solutions an expression can have is 2.
Additionally, complex solutions are related by conjugates, which means the second solution to this polynomial is [tex]1+6i[/tex], because is the conjugate of the given complex root.
How can I Simplify -(x+5)+3x
Answer:
2x - 5
Step-by-step explanation:
Distribute the negative sign outside of the parentheses first to get
-x -5 + 3x
Combine like terms
= 2x - 5
Answer:
2x-5
Step-by-step explanation:
=-(x+5)+3x
=-x-5+3x opening brackets
=-x+3x-5
=2x-5
WILL GIVE BRAINLIEST
Answer:
3
Step-by-step explanation:
These are similar triangle
We can use ratios to solve
12 12+4
------ = ----------
9 9+DC
Using cross products
12( 9+DC) = 9*(12+4)
12 (9+DC) = 9*16
Divide each side by 12
12/12 (9+DC) = 9*16/12
9+DC = 12
Subtract 9 from each side
9+DC-9 =12-9
DC =3
Answer:
3 units
Step-by-step explanation:
We can see that triangle ADE is similar to triangle ACB.
Therefore the ratios of the lengths of their sides must be equal.
We can write AD/AC = AE/AB
we are given AD = 9, AE = 12 and AB = 12 + 4 = 16
Substituting the above values into the equation:
AD/AC = AE/AB
9 / AC = 12/16 (rearranging)
(AC)(12) = (9)(16)
AC = (9)(16)/12
AC = 12
We can also see that
DC = AC - AD
DC = 12 - 9
DC = 3 units
Find the solution of ×\2-1/5=×\3+1/4 please help me with this
Answer:
[tex]x=\frac{27}{10}[/tex]
Step-by-step explanation:
Assuming that the beginning equation is [tex]\frac{x}{2} -\frac{1}{5} =\frac{x}{3} +\frac{1}{4}[/tex]
First, we should find the common denominator of each of fractions. For all of these denominators, 60 is the smallest common denominator
[tex]\frac{x}{2}(\frac{30}{30}) -\frac{1}{5}(\frac{12}{12}) =\frac{x}{3}(\frac{20}{20}) +\frac{1}{4} (\frac{15}{15}) \\\\\frac{30x}{60}-\frac{12}{60} =\frac{20x}{60}+\frac{15}{60}[/tex]
Now, we can multiply each side by 60, which will remove the fractions
[tex]30x-12=20x+15[/tex]
Now we can add 12 to each side
[tex]30x=20x+27[/tex]
Now subtract 20x from each side
[tex]10x=27[/tex]
And lastly, divide each side by 10
[tex]x=\frac{27}{10}[/tex]
The following pie chart represents how many absences the students of Washington Middle School had during the first quarter. What percentage of the students had less than two absences during the first quarter?
Answer:
68
ignore the rest of this i need 20 charecters
Answer:
68%
Step-by-step explanation:
Help!
Suppose that a biologist is watching a trail known for wildebeest migration. During the first minute, 24 wildebeests migrated past the biologist on the trail. Each minute, the number of wildebeests per minute increased by 3.
How many wildebeests migrated past the biologist during the first 20 minutes?
Enter your answer in the box.
Step-by-step explanation:
first minute = 24 wildebeest
by 20 min = (20 × 3) + 24 = 84 wildebeest
PLEASE HELP WILL MARK BRAINLIEST
Draw the reflection of the figure over the line shown.
Answer:
Step-by-step explanation:
who can solve ? 9y < -3
Answer:
y< -1/3
Step-by-step explanation:
To solve the inequality, we must get the variable, y, by itself.
9y< -3
Perform the opposite of what is being done to the equation, to both sides.
y is being multiplied by 9. The opposite of multiplication is division. Therefore, divide both sides by 9.
9y/9 < -3/9
y< -3/9
-3/9 can be reduced. 3 can be divided evenly into both the numerator (top number) and denominator (bottom number).
y< (-3/3) / (9/3)
y< -1/3