An adult ticket costs $5.25 and a child ticket costs $3.05. If $498.60 were collected for 100 tickets, how many child tickets were sold?
Answers
Answer:
work is shown and pictured
Related Questions
write 3x^2/5 in radical form
Answers
Answer:
[tex]3\sqrt[5]{x^2}[/tex]
Step-by-step explanation:
As written, no radical is implied. The expression can be rewritten as ...
(3x^2)/5 = (3/5)x^2
_____
Perhaps you intend ...
3x^(2/5)
The denominator of the exponent becomes the index of the radical:
[tex]3x^{\frac{2}{5}}=\boxed{3\sqrt[5]{x^2}}[/tex]
answer.
The temperature decreased from
17° on Saturday to -7° on Sunday.
What was the total change in
temperature?
Answers
Answer:
Decreased 24 degrees
Step-by-step explanation:
subtract the 17 from Saturday which gets you to 0 but it ends up being -7 on Sunday so i did 17+7 and it gives 24 so that's how much it went down
Find the difference.
(5x2 + 2x + 11) - (7 + 4x - 2x2)
A.
3x2 + 6x + 4
B.
9 - 2x - 2x2
C.
3x2 - 2x + 4
D.
7x2 - 2x + 4
Answers
Answer:
D
Step-by-step explanation:
Answer:
D.) 9 − 2x − 2x2
[tex]x^{2}-5x-24=0[/tex]
Quadratic Formula
Please show every step
Answers
Answer:
[tex]x=8,\:x=-3[/tex]
Step-by-step explanation:
[tex]x^2-5x-24=0\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\mathrm{For\:}\quad a=1,\:b=-5,\:c=-24:\quad x_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:1\left(-24\right)}}{2\cdot \:1}\\\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}\\x=8,\:x=-3[/tex][tex]=\frac{5+\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}}{2\cdot \:1}\\5+\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}\\5+\sqrt{121}\\=\frac{5+\sqrt{121}}{2}\\=\frac{5+11}{2}\\=\frac{16}{2}\\=8\\\frac{-\left(-5\right)-\sqrt{\left(-5\right)^2-4\cdot \:1\cdot \left(-24\right)}}{2\cdot \:1}\\=\frac{5-\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}}{2\cdot \:1}\\5-\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}\\\left(-5\right)^2\\=25\\4\cdot \:1\cdot \:24\\=96\\=5+\sqrt{25+96}\\[/tex]
[tex]\frac{5-\sqrt{121}}{2\cdot \:1}\\\frac{5-11}{2}\\=-\frac{6}{2}\\=-3\\[/tex]
A drawing has a scale of 1:40.
On the drawing, a bedroom is a rectangle measuring 10cm by 18cm.
A kitchen has an actual area of 300,000cm^2.
Which has the bigger area? Show working out.
Answers
Answer:
area of the kitchen
Step-by-step explanation:
in real life the dimensions are 10*40=400 cm=4 m and 18*40=720 cm=7.2 m
Area of the bedroom is A=4*7.2=28.8 m^2
Area of the kitchen is 300.000 cm^2=30 m^2
30>28.8
The bigger area is area of the kitchen
The bigger area between bedroom and kitchen is kitchen which is 30 m^2
What is area?Area can be find of l length and b breadth sides is
Area = l b
How to find area?Here the scale of bedroom is given that is 1 : 40
If bedroom is rectangle and measuring 10 cm and 18 cm then dimensions are
l = 10x40 = 400 cm = 4 m
b = 18x40 = 720 cm = 7.2 m
Therefore the area will be
Area of bedroom = 4x7.2 = 28.8 m^2
And we have given
Area of the kitchen = 300,000 cm^2
Convert into m^2 we have
Area of the kitchen = 30 m^2
This shows the area of the kitchen is bigger than the area of the bedroom
This is the conclusion to the answer.
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From sea level, a submarine descends 40 feet per minute. Where is the submarine in relation to sea level 5 minutes after it starts descending?
Answers
Answer:
After 5 minutes, the submarine is at -40 × 5 = -200 feet
Step-by-step explanation:
In 1 minute, the submarine is 40 feet below sea level. This situation can be represented with -40 feet. Notice that we use a negative sign since the submarine is descending.
Answer:
It's at 200 ft
Step-by-step explanation:
You multiply 40 and 5 because the submarine goes 40 ft per minute and you have to find out the level after 5 minutes.
Therefore 40•5=200 ft
Hope this helps!
There are two red jars of marbles and one blue jar of marbles. Jars of a certain color have the same number of marbles in them. There are 30 marbles in total. The difference between the number of marbles in a red jar and the number of marbles in a blue jar is 12. Find the number of marbles in each type of jar.
Answers
Answer:
There are 14 marbles in each red jar and 2 marbles in the blue jar
Step-by-step explanation:
There are two red jars of marbles and one blue jar of marbles.
Let the number of marbles in the red jar be x.
Let the number of marbles in the blue jar be y.
There are 30 marbles in total. This means that:
2x + y = 30 _____________ (1)
The difference between the number of marbles in a red jar and the number of marbles in a blue jar is 12. This means that:
x - y = 12 ______________(2)
We have a system of simultaneous equations:
2x + y = 30 _____________ (1)
x - y = 12 ______________(2)
Add them together:
3x = 42
=> x = 42/3= 14
Put the value of x in (2)
14 - y = 12
=> y = 14 - 12 = 2
Therefore, there are 14 marbles in each red jar and 2 marbles in the blue jar.
Which regression equation best fits these data?
Answers
[tex]the \: right \: answer \: is \: of \: option \: a \\ y = - 0.32 {x}^{2} - 1.26x + 15.81 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
URGENT!!!!! LAST TWO QUESTIONS!!!!!!! WILL GIVE BRANLIEST!!!AT LEAST TAKE A LOOK!!!!!! PLS HELP!!!
14. Find the missing angle x. ( 155 degrees is on the top left side, FIRST pic below)
19. Triangles ABC and DEF are similar. Find x. SECOND PIC
A) 9.45
B) 6.12
C) 7.23
D) 8.57
Answers
Answer:
#14) x is 95 (155-180= 25, 180-25-60= 95)
#19) my best guess is 4 (DE=7 -> AB=11, a 4 unit increase)
pleas help please helpppp
Answers
Answer:
the third option
Step-by-step explanation:
the inverse of a statement is just the opposite. So the opposite of your statement would be "if a quadrilateral is NOT a rectangle, then it is NOT a parallelogram."
hope this helps!
Isosceles and Equilateral triangles question! 60 POINTS!!
How do I figure out what "a" is equal to? Thanks!
Answers
Answer:
a = 43
Step-by-step explanation:
If PQ = PR, then P = R
The sum of the angles of a triangle is 180
P+Q+R = 180
47+2a + 47 = 180
Combine like terms
94 + 2a = 180
Subtract 94 from each side
2a = 180-94
2a = 86
Divide by 2
2a/2 = 86/2
a = 43
Answer:
43
Step-by-step explanation:
PQ = PR, so P = R
P + Q + R = 180
47+2a + 47 = 180
2a = 180 - 47 - 47
2a = 86
= 43
Hope this helps!
PLEASE HELP MEEEEE ITS VERY UGRENT
Answers
Answer:
4.75
Step-by-step explanation:
u = 10 a = -2 t = 0.5 (half)
need to work out u times t add 0.5 times a times t ^2
so 10 x 0.5 + 0.5 x -2 x 0.25
= 4.75
Answer:
s=4.5 m
Step-by-step explanation:
in the equation s=ut+1/2at squared, u=10, a=-2, and t==1/2. So substitute the given values by the units u, a and t.
[tex]s=ut+\frac{1}{2} at^{2} \\s=10*\frac{1}{2}+-2*\frac{1}{2}^{2}\\ s=5+(-2)*\frac{1}{4}\\ s=5+\frac{-2}{4}\\ s=\frac{5*4-2}{4}\\ s=\frac{20-2}{4}\\ s=\frac{18}{4}\\ s=4.5 m[/tex]
If you open an account that compounds quarterly in 2020. In what year will it double the starting amount if it has an APR of 3.2%
Answers
Answer:
It will double in the year 2063
Step-by-step explanation:
Let the amount deposited be $x, when it doubles, the amount becomes $2x
we can use the compound interest formula to know when this will happen
The compound interest formula is as follows;
A = P(1+r/n)^nt
In this question,
A is the amount which is 2 times the principal and this is $2x
P is called the principal and it is the amount deposited which is $x
r is the interest rate which is 3.2% = 3.2/100 = 0.032
n is the number of times compounding takes place per year which is quarterly which equals to 4
t is the number of years which we want to calculate.
Substituting all these into the equation, we have;
2x = x(1+0.032/4)^4t
divide through by x
2 = (1+ 0.008)^4t
2 = (1.008)^4t
we use logarithm here
Take log of both sides
log 2 = log (1.008)^2t
log 2 = 2t log 1.008
2t = log 2/log 1.008
2t = 86.98
t = 86.98/2
t =43.49 which is 43 years approximately
Thus the year the money will double will be 2020 + 43 years = 2063
How many revolutions must be made by a wheel of diameter 2.8m in order to cover a distance of 484km?
Answers
A wheel is a circle.
Given diameter of wheel = 2.8 m
Then radius of the wheel = 2.8/2 = 1.4 m
Now we know that , circumference of circle =[tex]2\pi r[/tex]
Then,Circumference of wheel = 2 × 22/7 × 1.4
Circumference of wheel = 8.8 m
From the above we can conclude that ;
1 revolution = 8.8 m
x revolution = 484 km = 484000 m
Thus,[tex]x = \frac{1}{8.8} \times 484000 \\ \\ x = 55000[/tex]
Therefore, total of 55,000 revolutions are made by the wheel.Ling likes to listen to different types of music. One afternoon, she listened to 4 rap and 12 country songs. How can you describe the relationship between rap and country songs? Check all that apply.
1. For every 12 rap songs Ling listened to, she listened to 4 country songs.
2. For every rap song Ling listened to, she listened to 3 country songs.
3. Ling listened to 3 times as many country songs as rap songs.
4. Ling listened to a ratio of 4 rap songs to 12 country songs.
Answers
Answer:
For every rap song Ling listened to, she listened to 3 country songs.
Ling listened to 3 times as many country songs as rap songs.
Ling listened to a ratio of 4 rap songs to 12 country songs.
Step-by-step explanation:
Answer:
2,3,4
Step-by-step explanation:
A group of 10 friends are in line to see a movie. The table shows how much different groups will pay in all. Predict how much the group of 10 will pay.
Answers
Answer: Wheres the table
Step-by-step explanation:
Answer:
Step-by-step explanation:
40
LAT QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS
4. All angles are formed by the intersection of two _______ at a point called the angle's vertex.
A) rays
B) lines
C) segments
THE HINT I WAS GIVEN: These objects have start with an endpoint and end with a line.
Answers
Answer: rays or lines
Step-by-step explanation:
Answer:
I believe the answer is: B.) lines
Hope this helps God bless!
There were 49 questions in the exam and Peter answered 45 questions correctly. Find the percent of error.
A. 8.16%
B. 8.2%
C. 8.5%
D. 8.8%
Answers
Answer:
A
Step-by-step explanation:
49-45 = 4 wrong
4/49 = 0.08163
= 8.16%
Answer:
A) 8.16
Step-by-step explanation:
1) Subtract 49-45
2) Divide 4/49 and multiply by 100
3) Then multiply by 100
Hope this helped
What is the slope of the ramp shown in the diagram below?
Answers
Answer:
Step-by-step explanation:
slope = [tex]\frac{vertical}{horizontal}[/tex] = - [tex]\frac{3}{10}[/tex] → A
The slope is negative as the ramp slopes down from left to right
The slope of the ramp shown in the diagram given is 3/10.So option D is the correct answer.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.
Given is a diagram of a ramp.
It can be picturized as a right angled triangle.
We know that,
Slope = Change in y coordinates / change in x coordinates.
Horizontal distance = change in x coordinates = 10
Vertical distance = change in y coordinates = 3
Substituting,
Slope = 3/10
Hence the slope of the ramp is 3/10.
Learn more about Slope here :
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Pam wants to buy a DVD player. The original price is $50. What is the sale price? with a 90% off
Answers
Answer:
5 dollars
Step-by-step explanation:
If the price is 90 % off, we will pay 100 - 90 or 10 %
Take the original price times 10 %
50 * 10 %
50 * .10
5
The distance between the Sun and the Earth is 1 .496 x 1O^8km and distance between the Earth and lhe Moon is 3.84 x 10^8m. During solar eclipse. The Moon comes in between the Earth and the Sun. What is the distance between the Moon and the Sun at that particular time?
Answers
Answer:
1.49216*10^8 km
Step-by-step explanation:
The first thing is to pass all the distances to the same unit system, since the distance from the earth to the sun is in kilometers and from the earth to the moon is in meters, therefore we will pass the distance of the moon in kilometers:
3.84 x 10 ^ 8m * 1 km / 1000 m = 3.84 x 10 ^ 5 km
To calculate the distance between the moon and the sun, it would be the difference between the distance they give us in the statement, because they have a point in common which is the earth, it would be:
1.496 x 10 ^ 8 km - 3.84 x 10 ^ 5 km = 149216000 = 1.49216 * 10 ^ 8 km
Therefore the distance between the moon and the sun is 1,49216 * 10 ^ 8 km
i hate math bro please help me
Answers
Answer:
2 + an
Step-by-step explanation:
1 + 1 + na
2 + am
Today you will need to look at the following problem and explain what Susan did incorrectly. You can explain what she did incorrectly and how to do it correctly
Answers
Answer:
see below
Step-by-step explanation:
The equation of a circle can be written as
( x-h) ^2 + (y-k) ^2 = r^2
( x-3)^2 + (y+4) ^2 = 36
Rewriting this equation
( x - 3)^2 + ( y - -4)^2 = 6^2
The center is at (3,-4) and the radius is at 6
Susan did not use the formula correctly.
It is x-h and y-k so she needed to rewrite to get the equation in the proper form
Also the radius is r^2 not r/2
What is the product of 7/9 and 1/4
Answers
Answer:
7/36
Step-by-step explanation:
7/9* 1/4
Multiply the numerator
7*1 = 7
9*4 = 36
Put the numerator over the denominator
7/36
Answer:
Brunliest plzStep-by-step explanation:
7/9 x 1/4 = 7/36
Three consecutive integers have a sum of 45. Find the integers.
Answers
Answer:
14,15,16
Step-by-step explanation:
14+15=29
add up 29 + 16 = 45
What is the value of −36/5 (10/9 −5/6 ) ?
Answers
Answer:
=-2
Step-by-step explanation:=-2
cuz i calculated it
its right
Answer:
-2
Step-by-step explanation:
First, the parentheses are calculated.
The denominators must be equal for removal.
2(10/9) - 3(5/6) = 20/18 - 15/18 = 5/18
Now we're going to multiply.
-36/5 × 5/18 = -36/18 and its equals to -2
Which expression is equivalent to
Answers
Answer: 4 and 10/12
Step-by-step explanation:
2 x 2= 4
[tex]1/2 X 3/4=2/2+ 3/4= {5/6} x 2= 10/12[/tex]
What are the factors of 36xyz?
A. 36,x,y
B. 36x,y,z
C. x,y,z
D. 36,x,y and z
Answers
Answer:
ç
Step-by-step explanation:
Solve for X
5x-5=9x+3
Answers
Move variable to the left-hand side and change its sign
5 x - 9 x - 5 = 3
Move constant to the right-hand side and change its sign
5 x - 9 x = 3 + 5
Collect like terms
- 4 x = 3 + 5
Add the numbers
- 4 x = 8
Divide both sides of the equation by 4
X = -2
And you answer is x = - 2
Answer:
x=-2
Step-by-step explanation:
To solve the equation, we want to find out what x is. In order to do this, we have to get x 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.
5x-5=9x+3
9x is being added to 3. The opposite of addition is subtraction, so subtract 9x from both sides.
5x-9x-5=9x-9x+3
5x-9x-5=3
-4x-5=3
5 is being subtracted from -4x. The opposite of subtraction is addition, so add 5 to both sides.
-4x-5+5=3+5
-4x= 3+5
-4x=8
x is being multiplied by 4. The opposite of multiplication is division, so divide both sides by -4.
-4x/-4=8/-4
x=8/-4
x= -2
I need help with this question.
Answers
12^2 + 9^2 = x^2
144 + 81 = x^2
225 = x^2
√225 = √x^2
x = 15
