The ticket booth at a school play sells 170 adult tickets and 150 student tickets. Find the ratio of adults to students. Write your answer as a fraction in simplest form.
The ratio of adults to students is
Answer: 17 to 15
Step-by-step explanation:
Samir's curtain company is making curtains for a local hotel. He wants each curtain to be 36 inches long. At the fabric store, fabric is sold by the foot. If Samir's curtain company wants to make 72 curtains, how many feet of fabric will he need?
Answer:
Which two elements of drama divide the play and indicate shifts in location or scenery?
dialogue
act
character
monologue
scene
Step-by-step explanation:
school and eat breakfast, and a 60% chance that she will be late for school or eat breakfast. What
is the probability that Elaine will eat breakfast
Write a quadratic equation with the given transformations from the parent function y = x2
4) Reflect over x-axis, shift to the left 5 units, shift up 7 units
5) Vertical stretch by a factor of 4, shift down 11 units
6) Vertical compression by a factor of, reflect over x-axis, shift to the right 2 units, shift up 3 units.
Answer:
4
Step-by-step explanation:
By Using the Transformations of the parabola
[tex]y = -(x+5)^2+7\\y=4x^{2} +7\\y = -(x-2)^2+3[/tex]
Vertical Translation move the graph vertically - up or down[tex]y = x^2+ k[/tex]
Horizontal Translation move the graph horizontally - left or right[tex]y = (x - h)^2[/tex]
Reflection in x-axis
flip the graph over the x-axis, (negates the y-values of the coordinates)[tex]y = -(x^2)[/tex]
Reflection in y-axis
flip the graph over the y-axis,(negates the x-values of the coordinates)[tex]y = (-x)^2[/tex]
Stretch or Compress Verticallystretches away from the x-axis or compresses toward the x-axis
[tex]y = a .x^2[/tex]
| a | > 1 is a stretch;
0 < | a | <1 is a compression
Stretch or Compress Horizontallystretches away from the y-axis or compresses toward the y-axis
[tex]y=\frac{1}{a} x^{2}[/tex]
| a | > 1 is a compression by factor of 1/a;
0 < | a | <1 is a stretch by factor of 1/a
Now, we have [tex]y=x^2[/tex]
4). Reflect over x-axis, shift to the left 5 units, shift up 7 units
[tex]y = -(x+5)^2+7[/tex]
5) Vertical stretch by a factor of 4, shift down 11 units
[tex]y=4 x^{2} +7[/tex]
6) Vertical compression by a factor of, reflect over x-axis, shift to the right 2 units, shift up 3 units.
[tex]y=-(x-2)^{2} +3[/tex]
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So I know the answer I just need to know the process. Could someone pls help?
Answer:
FIGURE 1:
x = 118; y = 96
FIGURE 2:
x = 85; y = 65
Step-by-step explanation:
FIGURE 1:
You know that x = 118 because of the Corresponding Angles theorem.
Because of the Exterior Angle Theorem (triangles), you can then figure out what y is with the following equation: y + 22 = 118 to get y = 96.
FIGURE 2:
In this figure, you first need to determine what the third angle in the bottom right triangle is. Using the Triangle Sum Theorem, you would find that the third angle is 70.
Because of the Vertical Angles Theorem, you know that the third angle in the top left triangle is also 70. With this information, you can now solve for x using the Triangle Sum Theorem to get x = 85.
Now that you know x, you can solve for y. The other 3 angles in the quadrilateral in which y is a part of are 90, 110, and 95. These could be figured out using the Linear Pair Postulate, the Vertical Angles Theorem, and the Linear Pair Postulate respectively. Now you can figure out y by using the Quadrilateral Sum Conjecture to get y = 65.
PLEASE BE A LIFE SAVERRR AND HELP ME ITS SO IMPORTANT
Answer:
a
Step-by-step explanation:
Solve for c and d:
10 – 7i = (c – 4) + zdi
C =
d =
Answer:
c= 14-7i-zdi
d=14/zi - 7/z - c/zi
Step-by-step explanation:
Solve for c by simplifying both sides of the equation, then isolating the variable.
Solve for d by isolating the variable by dividing each side by factors that dont contain the variable.
The sum of three consecutive integers is - 75.
What is the value of the smallest of the three integers?
O A. -23
O B. – 24
O c. -25
OD. -26
O E. -27
In 1974 a mother was 6 times as old as her daughter. If the mother turned 50 in the year 2000, in what year was the mother double her daughter’s age?
This is in the topic of linear equations and please provide an explanation. (The working out)
Answer:
1990
Step-by-step explanation:
Since the mother was 50 years old in 2000, she was 50 - (2000-1974) = 50 - 26 = 24 years old in 1974.
Hence, the daughter was 24/6 = 4 years old in 1974.
In "x" years after 1974, the daughter will be 4+x years old, while the mother will be 24+x years old.
We need to find "x" from the equation
2(4 + x) = 24+x.
8 + 2x = 24 + x,
x = 24 - 8 = 16.
1974 + 16 = 1990.
Answer In 1990 the mother doubles her daughter's age
Check In 1990 mother's age is/was 24 + 16 = 40 years.
In 1990 the daughter's age is/was 4 + 16 = 20 years.
Milligrams (\text{mg})(mg)left parenthesis, start text, m, g, end text, right parenthesis of iron per serving. Then they changed their recipe so they had 1.8\,\text{mg}1.8mg1, point, 8, start text, m, g, end text of iron per serving. What was the percent increase in iron?
Answer:
48.76%
Step-by-step explanation:
Here is the complete question;
A brand of cereal had 1.21milligrams of iron per serving. Then they changed their recipe so they had 1.8mg of iron per serving. What was the percent increase in iron?
Given
Initial amount of iron in cereal per serving = 1.21mg
final amount of iron in cereal per serving =1.8mg
Required
Percentage increase in iron
Increment = 1.8mg - 1.21mg
Increment = 0.59mg
% increase in iron = increment/original amount * 100%
% increase in iron = 0.59/1.21 * 100
% increase in iron = 0.4876 * 100
% increase in iron = 48.76%
Hence the percent increase in iron is 48.76%
f (x)=−8x− 4 cual es la pendiente y y el coeficiente de posición f (x )= (6x− 12) : 3 cual es la pendiente y y el coeficiente de posición AYUDA PORFA
The translation of the given question is
f (x) = - 8x− 4 what is the slope y and the position coefficient f (x) = (6x− 12): 3 what is the slope y and the position coefficient
Answer:
We need to determine slope and position coefficient which is the intercept.
f (x) = - 8x− 4 we know that f(x) is y
slope intercept form of the line
y = -8x -4
slope = -8
intercept = -4
similarly
f (x) = 6x− 12
y = 6x -12
slope =6
intercept = -12
write the equation of a line that is perpendicular to the line y=-3/7-15 and that passes through the point (9,2)
Answer:
Step-by-step explanation:
First substitue the coordinates to the equation so
x=9, y=2
you would get
2=-3/7(9) + b
we put b because we are trying to find the new slope
multiply the two numbers above
2=-3/6/7 + b
subtract the whole number from both sides
b= 5/6/7
in equation would be
y= -3/7 + 5/6/7
Let me know if there is an error.
If the table below represents a propornal relationship, what number will go
in the empty box?
Notes (pages)
8
Time (hours)
16
18
20
9
10
11. Helpp
Since the box represents a proportional relationship, the empty box would be = 22.
What is a proportional relationship between two variables?When proportional relationship exists between two variables, it means that a particular value would be times with one variable to give the next compared variable.
For example, using the figures given above;
8 pages of notes = 16hours
1 page = 16/8 = 2 hours
Therefore, each page should be times by two to give the number of hours.
Learn more about multiplication here:
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in the diagram below, B is the midpoint of AC and D is the midpoint of BC, which of the following statements is true?
(1) AC = 1/2BC (3) BD = 1/2AD
(2) AC=4DC (4) AC = 3BD
Answer:
2
Step-by-step explanation:
If f(x) = x³ - 2, find f(3). 25 24 26 20
Answer:
[tex]A.) 25[/tex]
Step-by-step explanation:
[tex]f(3)[/tex] means that the value of x is 3. Insert this into the equation for x, but DO NOT insert the value into f(x). To not get confused, remember that f(x) is basically y. You can insert y into the equation to not get mixed up:
[tex]f(x)=(3)^3-2\\\\or\\\\y=3^3-2[/tex]
Now simplify the equation, starting with exponents (PEMDAS):
[tex]x^3=x*x*x\\\\3*3*3\\\\9*3=27\\\\f(x)=27-2\\\\or\\\\y=27-2[/tex]
Simplify subtraction:
[tex]27-2=25\\\\f(x)=25\\\\or\\\\y=25[/tex]
:Done
Find the slope of the line that passes through the given two points:
(1,4) and (3,7)
m =
PLEASE HELP I DONT UNDERSTAND THIS
Answer: 3/2
Step-by-step explanation:
To find slope you use the formula: m= y2-y1/x2-x1
So plugging stuff in it’s (7-4)/(3-1)
This comes out to be 3/2
Which means when graphing you go up 3 and right 2
PLEASE PLEASE HELP ME I WILL GIVE BRAINALIST AND EXTRA POINTS TO THE FIRST PERSON
Answer:
1.C 2.A
Step-by-step explanation:
FIRST
Answer:
1= C
5= A
Step-by-step explanation:
Find the amount and compound interest of Naira 500000 at 2years at 8%
Answer:
Naira 583200
Step-by-step explanation:
500000 × 1.08² = 583200
Please answer smartly or you will be reported
Thankyou:)
Answer: The answer is B
Step-by-step explanation:
State the slope and Y intercept of this problem X =1
Answer:
not for sure sorry
Step-by-step explanation:
sorry
Solve the equation A = bh for b.
b = Ah
b = A/h
b = h/A
b = h – A
Answer:
b=Ah
Step-by-step explanation:
multiply both sides by h
3) Solve this system of linear equations by elimination.
y=x-1
2x-y=0
*x=-1,y=-2
*x=1,y=2
*x=2,y=1
*x=-2,y=-1
Answer:
Solving this system of linear equations by elimination we get x=-1 and y=-2
Option 1 is correct option.
Step-by-step explanation:
We are given equations:
[tex]y=x-1---eq(1)\\2x-y=0---eq(2)[/tex]
We need to solve by Elimination method.
Elimination method: Add or subtract the equations to get an equation in one variable.
Rearranging the equation 1 we get
[tex]-x+y=-1---eq(1)\\2x-y=0---eq(2)[/tex]
Add eq(1) and eq(2)
[tex]-x+y=-1\\2x-y=0\\------\\x=-1[/tex]
So, after eliminating y we get x=-1
Now finding y by putting x in eq(1)
[tex]y=x-1\\y=-1-1\\y=-2[/tex]
We get y=-2
So, solving this system of linear equations by elimination we get x=-1 and y=-2
Option 1 is correct option.
How much will you get paid if you work 28.5 hours for $7.75 per hour?
Answer:
$220.87 but 220.88 if u have to round up :)
Elizabeth and her sister earned money shoveling snow over winter break. Altogether, they shoveled for a total of 30 hours. Elizabeth charged her customers $12 per sidewalk, and her sister charged $11 per sidewalk. If they earned $347.50 total, how many hours did each girl spend shoveling?
Answer:
Step-by-step explanation
$12x17.5=210
$11x12.5=137.5
210+137.5=$347.5
Elizabeth worked for 17.5 Hours
Her sister worked 12.5 hours
Which geometric shape would best describe a flashlight?
cylinder
hemisphere
rectangular prism
sphere
Answer:
cylinder
Step-by-step explanation:
prove that 1 + cos 2A / sin 2A=CotA
Answer:
I assume that there are parentheses missing from the question and that it should be
Prove that 1 + sin 2A + cos 2A ---------------------------------------------- = cot A
1+sin2A−cos 2A
Use sin 2 A= 2 sin A cos A and
cos 2 A = 1−2 sin 2 A and cos 2 A = 2 cos A−1
Factor 7y2 + 53y + 28.
Question 7 options:
A)
(y + 5)(7y + 2)
B)
(7y + 4)(y + 7)
C)
(7y – 2)(y – 14)
D)
(y – 12)(7y – 1)
Y+5= -3/4x Select the slope and y-intercept of the linear equation.
Answer:
Slope: -3/4
y-intercept: (0,-5)
Step-by-step explanation:
Hope it helps!
y= -2(x-3)(x-2) to standard form
Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!
Answer:
x= 48 and y= 42
Step-by-step explanation:
x= 90-42
x= 48
y= 90-48
y= 42