Answer: 12 child tickets
Step-by-step explanation:
We can use system of equations to find how many child tickets were sold. Let's say x is adult and y is child.
Equation 1
5.25x+3.05y=498.6
This equation comes from the cost of tickets.
Equation 2
x+y=100
This equation comes from the number of tickets.
We can use elimination method to solve for y.
5.25x+3.05y=498.6
5.25x+5.25y=525
Now, we can subtract the equations for x to cancel out and to solve for y.
-2.2y=-26.4
y=12
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
Answer:
D
Step-by-step explanation:
Answer:
D.) 9 − 2x − 2x2
Which point is not in the solution set of the equation 3y + 2 = x2 − 5x + 17?
A) (-2,10) or
D) (5,5)
B and C where wrong.
Answer:
A (-2, 10)
Step-by-step explanation:
If you plug in the point into x and y you should get "false" on a calculator, or the answer won't make sense, meaning that it's not a part of the set
(-2,10) is not the solution set of the given equation [tex]3y+2 =x^{2} -5x+17[/tex].
What is solution to the equation?The solution, or root, of an equation is any value or set of values that can be substituted into the equation to make it a true statement.
According to the given question
We have an equation
[tex]3y + 2 =x^{2} -5x+17[/tex]
The above equation can be written as
[tex]x^{2} -5x +17-3y-2=0...(i)[/tex]
For finding the point which is not the solution set of the equation, first we will substitute the given points in the above equation and check whether it making the equation true or not.
For point (-2, 10)
Substitute, x = -2 and y = 10 in the equation (i)
[tex](-2)^{2} -5(-2) + 17 - 3(10) -2\\=4+10+17-30-2\\= -1\neq 0[/tex]
Hence, (-2, 10) is not the solution of the given equation.
For point (5, 5)
Substitute, x = 5, and y = 5 in equation (i)
[tex](5)^{2} -5(5)+17-3(5)-2\\=25-25+17-15-2\\=0[/tex]
Hence, (5, 5) is the solution of the given equation.
Learn more about solution to the equation here:
https://brainly.com/question/545403
#SPJ2
a:b= 5:8 and b:c=6:25
Find, in its simplest form, the ratio a:b:c
Answer:
a:b:c = 15:24:100.
Step-by-step explanation:
We need to make the values of b the same in both ratios so we multiply b = 6 by 4/3 to make it 8 and also multiply 25 by 4/3.
6 25 = 8 : 33.33......
So a:b:c = 5:8:33.33...
To convert to whole numbers we multiply by 3:
a:b:c = 15:24:100.
pleas help please helpppp
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!
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.
Answer: rays or lines
Step-by-step explanation:
Answer:
I believe the answer is: B.) lines
Hope this helps God bless!
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%
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
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
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)
Solve for X
5x-5=9x+3
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
Which regression equation best fits these data?
[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]
Find the value of k such that the quadratic equation x(x-2k)+6=0 has real and equal roots
Answer:
k= [tex]\frac{x^{2}+6 }{2x}[/tex]
Step-by-step explanation:
x(x−2k)+6=0
Step 1: Add -x^2 to both sides.
−2kx+x2+6+−x2=0+−x2
−2kx+6=−x2
Step 2: Add -6 to both sides.
−2kx+6+−6=−x2+−6
−2kx=−x2−6
Step 3: Divide both sides by -2x.
−2kx /−2x = −x2−6 /−2x
k =
What are the factors of 36xyz?
A. 36,x,y
B. 36x,y,z
C. x,y,z
D. 36,x,y and z
Answer:
ç
Step-by-step explanation:
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.
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.
Find the midpoint of the line segment with end coordinates of: (-3,-1)and(-4,2)
Give coordinates as decimals where appropriate.
Answer:
The answer for this question is (-3.5,0.5)
Isosceles and Equilateral triangles question! 60 POINTS!!
How do I figure out what "a" is equal to? Thanks!
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
What is the rate of change and initial value for the linear relation that includes the points shown in the table? (4 points)
x y
2 3
4 5
6 7
8 9
Initial value: 1, rate of change: 2
Initial value: 1, rate of change: 1
Initial value: 2, rate of change: 2
Initial value: 3, rate of change: 2
What dose point a represent on the graph
Answer:A point can represent a piece of data or an (x,y) value.
Step-by-step explanation:
How many revolutions must be made by a wheel of diameter 2.8m in order to cover a distance of 484km?
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.Which expression is equivalent to
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]
write 3x^2/5 in radical form
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]
I need help with this question.
12^2 + 9^2 = x^2
144 + 81 = x^2
225 = x^2
√225 = √x^2
x = 15
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.
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 pet store has three fish tanks, each holding a different volume of water and a different number of fish. Tank AAA holds 40\text{ L}40 L40, start text, space, L, end text and 555 fish. Tank BBB holds 100\text{ L}100 L100, start text, space, L, end text and 121212 fish. Tank CCC holds 180\text{ L}180 L180, start text, space, L, end text and 232323 fish. Order the tanks by volume per fish from least to greatest.
Answer:
C, A and B
Step-by-step explanation:
Tank A holds 40 Liters and 5 fish.
Volume per fish of Tank A [tex]=40 \div 5 =$ 8 fish per liter[/tex]Tank B holds 100 Liters and 12 fish.
Volume per fish of Tank B [tex]=100 \div 12 =$ 8.33 fish per liter[/tex]Tank C holds 180 Liters and 23 fish.
Volume per fish of Tank C [tex]=180 \div 23 =$ 7.83 fish per liter[/tex]Therefore, the volume per fish from least to greatest is:
7.83, 8 and 8.33
These correspond to the tanks: C, A and B respectively.
Answer:
CAB
Step-by-step explanation:
Got it right in Khan!
Find the area of the triangle. Round your answer to the nearest tenth.
A) 101.3 m^2
B) 58.5 m^2
C) 29.3 m^2
D) 50.7 m^2
Answer:
A
Step-by-step explanation:
answer.
The temperature decreased from
17° on Saturday to -7° on Sunday.
What was the total change in
temperature?
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
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
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
Three consecutive integers have a sum of 45. Find the integers.
Answer:
14,15,16
Step-by-step explanation:
14+15=29
add up 29 + 16 = 45
Pam wants to buy a DVD player. The original price is $50. What is the sale price? with a 90% off
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
What is the product of 7/9 and 1/4
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
What is the value of −36/5 (10/9 −5/6 ) ?
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
i hate math bro please help me
Answer:
2 + an
Step-by-step explanation:
1 + 1 + na
2 + am
