Answer:
33.3
Step-by-step explanation:
100 divided by 3
Avery's classroom has 3 round tables and 6 square tables. Each table can seat 4 students.
Students are randomly seated at the tables as they arrive to class.
What is the probability that the first student to arrive will be seated at a square table
[50 Points] The function [tex]y = 4.2\sqrt{0.28 x - 1}[/tex] models the annual number of visitors to an amusement park, where y is the number of visitors in millions and x is the number of years since 1975. Find the first year in which the amusement park had 12 million visitors?
Answer:
In 2008.
Step-by-step explanation:
The function:
[tex]y=4.2\sqrt{0.28x-1}[/tex]
Models the annual number of visitors to an amusement park, where y is the number of visitors (in millions) and x is the number of years since 1975.
We want to determine the first year in which the amusement park had 12 million visitors.
So, we will set y equal to 12 and solve for x. This yields:
[tex]12=4.2\sqrt{0.28x-1}[/tex]
By dividing both sides by 4.2, we acquire:
[tex]\displaystyle \frac{12}{4.2}=\frac{120}{42}=\frac{20}{7}=\sqrt{0.28x-1}[/tex]
And by squaring both sides:
[tex]\displaystyle \frac{400}{49}=0.28x-1[/tex]
Adding 1 to both sides produces:
[tex]\displaystyle \frac{400}{49}+1=\frac{449}{49}=0.28x[/tex]
And finally, dividing both sides by 0.28 gives us the approximation:
[tex]\displaystyle x=\frac{449}{49}\cdot \frac{1}{.28}=\frac{11225}{343}\approx32.72\approx33[/tex]
So, 33 years after 1975, the amusement park will have 12 million annual visitors.
Therefore, the first year in which the amusement park will have 12 million annual visitors is in the year 2008.
1. A store sold 700 motorcycles last year. This year the store sold 820 motorcycles. What is the percent change in the number of motorcycles sold from las year to this year?
Answer:
120 or 120%, hope this helps!
Step-by-step explanation:
In a batch of lightbulbs, 30% are tinted, if 45 lightbulbs are tinted, how many lightbulbs are in the batch?
Step-by-step explanation:
30% of lightbulbs = 45 lightbulbs
100% of lightbulbs
= 45 * (100/30) = 150 lightbulbs.
Hence there are 150 lightbulbs in the batch.
It is Monday.
/: There is chicken for lunch.
/
Write the inverse in if-then form.
The proper way to write this sentence would be:
If it is Monday then there is chicken for lunch.
May I have brainliest please? :)
A line has a slope of a and has a y-intercept of (0,b). Which equation represents this line?
A. y-b=a(x-0)
B. y+b=a(x-0)
C. y-0=a(x-b)
D. y-0=a(x+b)
PLEASE HELP GIVING 50 POINTS!!!
Step-by-step explanation:
General line equation: y = mx + c, where m is the slope of the line and c is the y-intercept.
We have y = ax + b.
=> y - b = ax
=> y - b = a(x - 0).
The answer is option A.
Answer:
A
[tex]general \: equation \: of \: line \\ y = mx + c \\ from \: the \: data \: given \\ m = a \\ c = b \\ y = ax + b \\ y - b = ax \\ y - b = a(x - 0)[/tex]
QR is parallel to ST Rs is parallel TU QS is congruent to SU
prove QRS is congruent to STU
Answer:
hope my answer is helpful to you
plz mark me as brainlist and also follow me
As QR is parallel to ST Rs is parallel TU QS is congruent to SU the measure of their included angle is also same ∠QRS ≅ ∠STU.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
Given, Line segment QR is parallel to line segment ST.
Line segment RS is parallel to line segment TU, And line segment QS is similar to line segment SU.
So, The included angle of two pairs of parallel lines will also be the same as
line segment QS is similar to line segment SU.
∴ ∠QRS is similar to ∠STU.
learn more about congruency here :
https://brainly.com/question/7888063
#SPJ5
Please answer this correctly without making mistakes
Answer:
2 pt + 1c
Step-by-step explanation:
There are 2 cups in a pint. So, 2c = p, dividing 2 from both sides, we get
c = (1/2)p
Replace c with 1/2 p in the equation
5 pt - (2pt + (1/2)p)
= 5pt - 2pi - (1/2)p
= 3pt - (1/2)p
= 2pt + (1/2)p
Replace back (1/2)p for c
2pt + (1/2)p =
2 pt + 1c
Complete the sentence using the bare infinitive.
1.My parents often make me __________ English Subject
Answer:
study my ___________ I hope it helps
Quadrilateral RUST has a vertex at R (1,2). U S What are the coordinates of R'after a dilation by a scale factor of 3, centered at the origin, followed by the translation (x, y) - (x + 2, y)?
A. (5,8)
B. (5,2)
C. (9,6)
D. (5,6)
Answer:
D. [tex](5,6)[/tex]
Step-by-step explanation:
Let [tex]R(x,y) = (1,2)[/tex], we proceed to perform all operations described on statement:
1) Dilation
[tex]R'(x,y) = O(x,y) + k\cdot [R(x,y)-O(x,y)][/tex] (1)
Where:
[tex]O(x,y)[/tex] - Point of reference.
[tex]R(x,y)[/tex] - Original point.
[tex]R'(x,y)[/tex] - Dilated point.
[tex]k[/tex] - Scale factor.
If we know that [tex]O(x,y) = (0,0)[/tex], [tex]R(x,y) = (1,2)[/tex] and [tex]k = 3[/tex], then the dilated point is:
[tex]R'(x,y) = (0,0) +3\cdot [(1,2)-(0,0)][/tex]
[tex]R'(x,y) = (0,0) +3\cdot (1,2)[/tex]
[tex]R'(x,y) = (3,6)[/tex]
2) Translation
[tex]R''(x,y) = R'(x,y) + T(x,y)[/tex] (2)
Where:
[tex]R'(x,y)[/tex] - Original point.
[tex]T(x,y)[/tex] - Translation point.
[tex]R''(x,y)[/tex] - Translated point.
If we know that [tex]R'(x,y) = (3,6)[/tex] and [tex]T(x,y) = (2,0)[/tex], then the translated vector is:
[tex]R''(x,y) = (3,6)+(2,0)[/tex]
[tex]R''(x,y) = (5,6)[/tex]
Therefore, the correct answer is D.
Answer:d
Step-by-step explanation:
Plss answer
i will give brainliest
Answer:
sorry im doing a challenge but i will have someone answer it
Step-by-step explanation:
The meaning of an inequality depends on the __________________of the inequality sign.
Answer:
Denpeds on the left hand side of nagetive of the inequality sign
What is 4 8/9 plus 3 2/11
Answer:
8 7/99, Decimal. (8.07 repeated)
Step-by-step explanation:
Multiply the polynomials: (x – 4)(x2 + 2x – 5)
Question 16 options:
A)
x3 + 6x2+ 3x – 20
B)
x3 + 6x2 + 3x + 20
C)
x3 – 2x2 – 13x – 20
D)
x3 – 2x2 – 13x + 20
Question 17 (5 points)
Subtract: (4x3 + 9xy + 8y) – (3x3 + 5xy – 8y)
Question 17 options:
A)
7x3 + 14xy
B)
x3 + 4xy
C)
7x3 + 14xy + 16y
D)
x3 + 4xy + 16y
Question 18 (5 points)
What are the real solutions to the equation 5x2 + 29x + 20 = 0?
Question 18 options:
A)
x = –5, x = 4∕5
B)
x = –4∕5, x = 5
C)
x = 4∕5, x = 5
Step-by-step explanation:
Hey there!
Given;
[tex] = (x - 4)( {x}^{2} + 2x - 5)[/tex]
[tex] = x( {x}^{2} + 2x - 5) - 4( {x}^{2} + 2x - 5)[/tex]
[tex] = {x}^{3} + 2 {x}^{2} - 5x - 4 {x}^{2} - 8x + 20[/tex]
[tex] = {x}^{3} - 2 {x}^{2} - 13x + 20[/tex]
Therefore, Option D is correct answer.
Q.no.
Given;
[tex] =( 4 {x}^{3} + 9xy + 8y) - (3 {x}^{3} + 5xy - 8y)[/tex]
[tex] = 4 {x}^{3} + 9xy + 8y - 3 {x}^{3} - 5xy + 8y[/tex]
[tex] = {x}^{3} + 4xy + 16y[/tex]
Therefore, answer is Option D.
Qno.
Given;
[tex]5 {x}^{2} + 29x + 20 = 0[/tex]
[tex]5 {x}^{2} + (25 + 4)x + 20 = 0[/tex]
[tex]5 {x}^{2} + 25x + 4x + 20 = 0[/tex]
[tex]5x(x + 5) + 4(x + 5) = 0[/tex]
(5x + 4)(x + 5) =0
Either (5x+4)= 0,
5x = -4
X = -4/5
Or, X+5 = 0
X = -5.
Therefore, X= -5, -4/5.
Hope it helps....
what is the difference between bullying and conflict
Answer:
Bullying is making fun of or hurting someone and a conflict is a disagreement that is serious
Step-by-step explanation:
When using a number line, in which direction should you move when subtracting a negative value?
Answer:
LEFT
Step-by-step explanation:
Answer:
Move to the right when you're subtracting a negative number.
Question 1
Find the missing angle to the nearest degree.
36
14
degrees
Answer:
23°
Step-by-step explanation:
Let the missing angle be x
Reference angle = missing angle = x
Opposite side to x = 14
Hypotenuse = 36
Applying trigonometric ratio, we have:
[tex] sin(x) = \frac{14}{36} [/tex]
[tex] x = sin^{-1}(\frac{14}{36}) [/tex]
x = 23° (to the nearest degree)
4.02>4.1 TRUE OR FALSE
Answer: true
Step-by-step explanation: cuz
Answer:
False
Step-by-step explanation:
Find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8
1. Isolate x in the first equation:
2. Substitute the value for x into the second equation:
3. Solve for y:
4. Substitute y into either original equation:
5. Write the solution as an ordered pair:
x = 7 – 3y
2(7 – 3y) + 4y = 8
14 – 6y + 4y = 8
14 – 2y = 8
–2y = –6
y = 3
x + 3(3) = 7
(, )
Answer:
The solution to the system of equation is: (-2,3)
Step-by-step explanation:
We need to find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8
I am placing steps for each point given
1. Isolate x in the first equation:
First equation is:
x+3y=7
Isolating x:
x=7-3y
2. Substitute the value for x into the second equation:
Second equation is:
2x+4y=8
Putting value of x: x=7-3y
2(7-3y)+4y=8
3. Solve for y:
2(7-3y)+4y=8
Multiply 2 with terms inside the bracket
14-6y+4y=8
-2y=8-14
-2y=-6
y=-6/-2
y=3
So, we get value of y: y=3
4. Substitute y into either original equation:
Putting value of y: y=3 in equation 1
x+3y=7
x+3(3)=7
x+9=7
x=7-9
x=-2
So, we get value of x: x=-2
5. Write the solution as an ordered pair:
After solving the equation we get:
x = -2 and y = 3
The ordered pair is: (-2,3)
Answer:
-2,3
Step-by-step explanation:
Isolate x in the first equation:
Substitute the value for x into the second equation:
Solve for y
Please give me brainiest
find the slope thanks
NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
URGENT!!!! Han earns $48 for babysitting 3 hours. How much money does Han make per hour? Explain
your reasoning. :)
Answer:
Step-by-step explanation:
If he earns $48 dollars in 3 hours, you need to divide 48 by 3 to work out how much he makes per hour. and 48/3 = 16. So he makes $16 dollars an hour.
Answer:
16$
Step-by-step explanation:
You would have to divide the number of hours he worked for three days by the days he worked in order to find out what he would earn per hour.
This means the answer is 16 dollars per hour.
Which equation produces the values in the table?
O y= 4x
O y=4+x
O y=1/4x
Oy=4 - x
Answer:
Step-by-step explanation: It’s C thank me later
The equation produces the values in the table is y = x/4
What is an equation?Mathematically, an equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”.
For example, 2x – 5 = 13.
Given is table (attached) we need to determine an equation that produces the values in the table,
So, seeing the value it is much that the value of x are the 4 times of the values of y,
So, we can write,
4y = x
or, y = x/4
Hence, the equation produces the values in the table is y = x/4
Learn more about equation, click;
https://brainly.com/question/29657983
#SPJ7
Solve for x:
a
3
b
9
c
1.5
d
13.5
Hi there! :)
[tex]\large\boxed{\text{ x = 9}}[/tex]
The two angles pictured are vertical angles, therefore:
8x - 6 = 6x + 12
Solve for x by subtracting 6x from both sides:
2x - 6 = 12
Add 6 to both sides:
2x = 18
Divide both sides by 2:
x = 9.
Answer:
9 is ur answer
Step-by-step explanation:
8x-6=6x+12
8x-6x=12+6
2x=18
x=9
Hope this helps u...
I need helps can someone help me please!!!
Answer:
Jk= 27
LM= 22
KL= 16
MJ=16
Answer:
JK=27
LM=27
KL=16
MJ=16
Step-by-step explanation:
JK=4x+7
=27
LM=5x+2
=27
KL=2y-2
=16
MJ=y+7
=16
so, JK= 27 and KL=16
(I hope u got it)
Solve 6/7 = y - 3/7. WHAT IS Y?
Answer:
y = 9/7
Step-by-step explanation:
What is the length of side EF in the triangle? Please give a step by step explanation, I'm having lots of trouble finding the solution. Thank you!
Answer:
EF = 8.8 cm
Step-by-step explanation:
In the given right angled ΔDEF, DE is the hypotenuse while EF and DF are adjacent sides. So that applying the Pythagoras theorem, we have;
[tex]/hyp/^{2}[/tex] = [tex]/adj1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]
[tex]/DE/^{2}[/tex] = [tex]/EF/^{2}[/tex] + [tex]/DF/^{2}[/tex]
[tex]/16.2/^{2}[/tex] = [tex]/EF/^{2}[/tex] + [tex]/13.6/^{2}[/tex]
262.44 = [tex]/EF/^{2}[/tex] + 184.96
[tex]/EF/^{2}[/tex] = 262.44 - 184.96
= 77.48
EF = [tex]\sqrt{77.48}[/tex]
= 8.8023
EF = 8.8 cm
The length of side EF is 8.8 cm.
Vocabulary: How are integers and their opposites related? Select all that are true.
Which of the following is the equation of
the line graphed below?
y=-2x-2
x-2-2
y --Zx-2
y - 2x - 2
Answer:
y=2x-2
I hope this helps:
What is 3 fourths times one half
Answer: 0.375
Step-by-step explanation:
