Answer:
42 teachers
Explanation:
Teacher to student ratio is 1:23
If there are 966 students, then divide by 23 to get how many teachers their are.
966/23=42
Solve the quadratic equation by factoring.
4x² - 20x + 28 = 3
A) x = 5
B) x = 5/2
C) x = 2/5
D) x = - 5/2
Answer:
B) x = 5/2
Step-by-step explanation:
subtract 3 from each side to get:
4x² - 20x + 25 = 0
this is the difference of 2 squares:
(2x -5)² = 0
one solution, x = 5/2
Answer:
B) x = 5/2
Step-by-step explanation:
4x² - 20x + 28 = 3
Move terms to the left side
4x² - 20x + 28 - 3 = 0
Subtract the numbers
4x² - 20x + 25 = 0
Use the quadratic formula
[tex]x =\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
4x² - 20x + 25 = 0
a = 4
b = -20
c = 25
x = [tex]\frac{-(-20)+\sqrt{(-20)^{2}-4x4x25 } }{2x4}[/tex]
Evaluate the exponent
x = [tex]\frac{20+\sqrt{400-4x4x25 } }{2x4}[/tex]
Multiply the numbers
x = [tex]\frac{20+\sqrt{400-400 } }{2x4}[/tex]
Subtract the numbers
x = [tex]\frac{20+\sqrt{0} }{2x4}[/tex]
Evaluate the square root
x = [tex]\frac{20+0 }{2x4}[/tex]
Add zero
x = 20 / 2 x 4
Multiply the numbers
x = 20 / 8
Cancel terms that are in both the numerator and denominator
x = 5/2
Pleaasseee helppppp.
Answer:
180+12x
Step-by-step explanation:
Find the missing side lengths.
Can someone please help???
Answer:
x = sqrt (2), y = sqrt (2)
Step-by-step explanation:
Here is how we can approach this problem in a step by step solution:
Look at what we are given - we know that the triangle is a right triangle (has a square on one of its angles representing 90 degrees), and the hypotenuse (the side opposite 90 degree angle) is 2 units long, and one of the other angles is 45 degreesUsing this information about angle measurements, we can solve for the third angle using the sum of angles in a triangle equals 180 degrees theorem: 180 - 90 - 45 = 45. After solving, we get that the final angle is 45 degreesNow, we know that the angles of the triangle are 90, 45, and 45 degrees. Using the base angle theorem, we know that his triangle must be an isocoles right triangleThat means that both legs of the triangle must be congruent (x = y)Finally, we can use the Pythagorean theorem because this is a right triangle to solve for the missing sides 4 = x^2 + y^2, 4 = 2 + 2, x = sqrt (2) y = sqrt (2)*Also, if you knew that a 45-45-90 triangle's sides form a ratio of a, a, and sqrt (2) a, you could also use that and substitute in the values to solve. Both ways work! Hope this helps!!
Solve for x: - 3x + 5 = -8x + 10
Express as a trinomial.
(2x – 9)(3x +4)
Answer:
5x^2-19x-36
Step-by-step explanation:
(2x)(3x) + (2x)(4) - (9)(3x) - (9)(4)
5x^2 + 8x - 27x - 36
5x^2 - 19x - 36
Expression as a trinomial is 6x² -19x -36.
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
Given:
An expression,
(2x – 9)(3x +4).
To express as a trinomial:
(2x – 9)(3x +4),
= 6x² -27x + 8x -36
= 6x² -19x -36
Trinomial is a quadratic function.
Therefore, as a trinomial is 6x² -19x -36.
To learn more about the quadratic function;
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help in pic ANYONE??
HELP PLEASE I WOULD REALLY BE THANKFUL IF YOU HELP, I'VE BEEN STUCK ON THIS
Answer:
Median Range IQR
Northside players. 37 33. 17
Southside players. 37. 43. 30
1. Find the area of the composite figure to the nearest hundredth.
55 mm
32.5 mm
12.5 mm
12.5 mm
total area =
mm?
Answer:
[tex]745.45 mm^{2}[/tex]
Step-by-step explanation:
(semicircle) A1 = 245.45 mm
(rectangle) A2 = 312.5 mm
(triangle) A3 = 187.5 mm
Formula for semicircle = [tex]A = \frac{1}{2} \pi r^{2}[/tex]
[tex]\frac{1}{2}\pi 12.5^{2} = 78.13\pi = 245.45 mm[/tex]
Formula for rectangle = [tex]A = lw[/tex]
[tex]25 x 12.5 = 312.5 mm[/tex]
Formula for triangle = [tex]A = \frac{1}{2} bh[/tex]
[tex]\frac{1}{2} 30(12.5) = 187.50mm[/tex]
Now we add them all up to get our answer
[tex]245.45 + 312.5 + 187.5 =745.45mm^{2}[/tex]
The area of the composite figure is 741.31 mm².
What is area?The area of any object is given by the space covered by it.
Given is a composite figure having shapes, a semicircle, a triangle and rectangle,
We need to find the area of the composite figure,
So, to find the same we will find the areas of the figure and then add them,
So,
Area of a semicircle = π × radius² / 2
= 3.14 × 12.5² / 2
= 245.31 mm²
Area of a triangle = 1/2 × base × height
= 1/2 × 12.5 × 30
= 187.5 mm²
Area of a rectangle = length × width
= 12.5 × 25
= 312.5 mm²
Now, the whole area = 245.31 + 187.5 + 312.5 = 741.31 mm²
Hence the area of the composite figure is 741.31 mm².
Learn more about area click;
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Consider the equation y=97x+8000, what is the y-intercept?
Answer:
8000
Step-by-step explanation
A bag contains 8 red pens, 7 blue pens, and 14 black pens. Denato wants to pull a blue pen from the bag. What is the sample space for this experiment?
Answer:
The sample space is 29........
3 + 2a - 7x + 2.5 + 5x
help pls and thank u
Answer:
2 a − 2 x + 5.5
Step-by-step explanation:
Answer:
5.5+2a_2x
Step-by-step explanation:
we add the numbers 3+2.5
Solve y=f(x) for x. Then find the input when the output is −3. f(x)=−7x−2 x= The input is when the output is −3.
Answer:
The input is 1/7
Step-by-step explanation:
If y =f(x)
Given that f(x) = -7x -2, then y = -7x-2
x is the input
y is the output
Given the output y = -3, we are to find the input value x
Recall that y = -7x-2
On substituting the value of y into the equation
-3 = -7x - 2
-7x = -3+2
-7x = -1
x = -1/-7
x = 1/7
Hence the input is 1/7
What is the combined area of the left and right faces of the prism? ___in. 2
Answer: 72
Step-by-step explanation:
Answer:
72 in.2
Step-by-step explanation:
Did it :)
Find the arithmetic and the geometric means of 5 and 125
Answer:
Arithmetic Mean: 65
Geometric Mean: 25
Step-by-step explanation:
Arithmetic Mean Formula: Sum / # of values
(5 + 125) / 2
130 / 2
65
Geometric Mean Formula: √Product of the values
√(5*125)
√625
25
A basketball team wants to see if its fans like its new uniforms. Which description represents a population?
A basketball team wants to see if its fans like its new uniforms. Which description represents a population?
A. children who root for the team
B. season ticket holders
C. employees who work for the basketball team
D. fans of the basketball team
Answer:
xd
Step-by-step explanation:
xd
se pone primero la x y despues la d, se dice gracias crick
If a train travels 156 miles in 4 hours how many miles per hours dose it travel
Answer:
39mph
Step-by-step explanation:
plz mark brainliest
you deposit $1050 into an account that pays 7.25% interest per year. find the amount after six year given the following: a) compounded semiannually b) compounded monthly
Answer:
semiannually = $1609.77
monthly = $1128.71
Step-by-step explanation:
What is the area of the circle? I need help please!
Answer:
Area is π(Pi) × Radius².
Soo, 3,14×5×5=78,54
I hope this is right
In 2.5 hours, 0.64 inch of rain fell. At about what rate did the rain fall? A 0.18 inch per hour 8 0.26 inch per hour 0 0.32 inch per hour D 1.60 Inches per hour
Answer:
0.26 per Hour
Step-by-step explanation:
0.26x2=0.52
0.26/2=0.13
0.52+0.13=0.65
0.65 is the closest to your question
A graph of a system of two equations is shown. HELP!!!!!
Answer:
8 and 2
Step-by-step explanation:
8 and 2 because y=5x +3 would be 5+3 which is 8 and y= 3x - 1 would be 3 - 1 which equals 2.
The population of Jefferson City is 95000. Assuming a growth rate of 2.5% per year, what will the population be in 15 years?
Answer:
Yearly growth: 137,588
Continuous growth: 3,971,611
Find the discount savings on a bicycle that originallycosts $230 but is on sale for 40% off. Show yourwork.
Answer:
You would save 92$
Step-by-step explanation:
Discount = Original Price x Discount 40/100
Discount = 230 × 40/100
Discount = 230 x 0.4
You save = $92.00
Final Price = Original Price - Discount
Final Price = 230 - 92
Final Price = $138.00
Hope this helps
In a school with 2,000 students, 250 are athletes. Of those athletes, 120 lift weights in addition to participating in their primary sport. Thirty-seven athletes lift weights as their primary sport. The newspaper wants to select five athletes at random from the school to interview. What is the population size?
A.) 37
B.) 120
C.) 250
D.) 2,000
Answer:
c
Step-by-step explanation:
The area of a rectangle is 8w + 18 square feet. The length of the rectangle is 2 feet. Use factoring to write an expression to represent the width of the rectangle.
Answer:
The expression that represents the width of the rectangle is 4w + 9
Step-by-step explanation:
The formula of the area of the rectangle is A= length x width
The area of a rectangle is 8w+18 square feet.
A= 8w+18
The HCF of 8 and 18 is 2
Divide each term of the area by 2 to get 2 as a common factor
8 /2 =4 and 18 /2 = 9
A=2(4w+9)
The length of the rectangle is 2 feet
Substitute it in the formula of the area above
A=2 x width
A=2 width
Equate the two right sides of the area
2 width =2(4w+9)
Divide both sides by 2
The width = 4w+9
❤️❤️Помогите❤️❤️!!!!
Answer:
i dont understand russian
Step-by-step explanation:
You are the owner of the biggest and newest roller coaster called the Gentle Giant. The roller coaster costs $6 to ride. The operator of the ride must pay $200 per day for the ride rental and $65 per day for a safety inspection. If you want to make a profit of at least $1,000 each day, what is the minimum number of people that must ride the roller coaster? Write an inequality that can be used to find the minimum number of people, , which must ride the roller coaster each day to make the daily profit.
Answer:
Inequality: 6r - 200 - 65 [tex]\geq[/tex] 1000 and minimum of 211 people
Step-by-step explanation:
Let r = rides
6r - 200 - 65 [tex]\geq[/tex] 1000
6r - 265 [tex]\geq[/tex] 1000
6r [tex]\geq[/tex] 1265
r [tex]\geq[/tex] 210 [tex]\frac{5}{6}[/tex]
Needs 211 people to make a profit of at least $1000
Can you please help me
Answer:
Each term in pattern X is 1/3 of the corresponing
in patter Y
Step-by-step explanation:
5 is 1/3 of 15
Answer:
the answer would be the top left one, because if you look at the X and times it by 3 you will get the Y
Step-by-step explanation:
0×3=0
5×3=15
10×3=30
15×3=45
20×3=60
that is what I think it is
Can anyone help me with 6? Please
Answer: (2)
Step-by-step explanation: y=18(0.75) 0.75 as a percent is 75%, kind of like what would happen in the graph with the mathematical term Pneumonoultramicroscopicsilicovolcanoconiosis.
What is the scale factor of the dilation?
Parallelogram FGHJ was dilated and translated to form
similar parallelogram FG'H'J'.
1. 1/8
2. 1/4
3. 4
4. 8
Answer:
3
Step-by-step explanation:
What is the volume of the sphere in terms on pie?
(Answer only with correct answers no links)
Answer:
The answer is A.
Step-by-step explanation:
Formula = 4/3pir^3
Diameter = 3
Radius = 3/2 = 1.5
Using the formula
1.5^3 = 3.375
3.375 * 4/3 = 4.5
Volume = 4.5 pi yd^3