Answer:
156 adults are college graduates
Step-by-step explanation:
To find the answer we have to find 65% of 240.
[tex]240 \times \frac{65}{100} = \\ \\ \frac{15600}{100} = \\ \\ 156[/tex]
2. In circle 0, points A and B lie on the circle such that OA = 2x + 9 and OB = 27 – x. Which of the following
represents the length of the radius of circle O?
(1) 6
(3) 21
(2) 18
(4) 42
two squares have a total area of 208cm square and sum of their perimeter is80cm what are the length of sides of square
The length of the sides of the square are 8 centimetres and 12 centimetres respectively
How to finds area of a square?area = l²
where
l = side lengthTherefore,
x² + y² = 208
How to finds perimeter of a square?perimeter = 4l
4x + 4y = 80 cm
x + y = 20
x = 20 - y
(20 - y)² + y² = 208
y² - 40y + 400 + y² = 208
2y² - 40y + 192
y² - 20y + 96
(y - 12)(y - 8)
Therefore, y = 12 and y = 8
when y = 8
x + 8 = 20
x = 12
when y = 12
x + 12 = 20
x = 8
Therefore, the length of the sides of the square are 12 cm and 8 cm.
learn more on square here: https://brainly.com/question/13747846
#SPJ1
1 AB is tangent to circle O at B. The diagram is not drawn to scale. If AB=12 nd AO=15, what is the length of the radius (r)
Answer:
r = 9 units
Step-by-step explanation:
since AB is a tangent to the circle at B , then ∠ ABO = 90°
so Δ ABO is a right triangle
using Pythagoras' identity in the right triangle
OB² + AB² = AO² , that is
r² + 12² = 15²
r² + 144 = 225 ( subtract 144 from both sides )
r² = 81 ( take square root of both sides )
r = [tex]\sqrt{81}[/tex] = 9
1 A jewelry salesperson eams 55% commission on all sales. Today he sold $7,770 in jewelry. What is his total commission earned? The total commission the salesperson earned is $ (Round to the nearest cent as needed.)
Answer:
$4,273.50
Step-by-step explanation:
Multiplying the total sale amount by 55% commission :
7,770 x 55%7,770 x 0.557,770 x 11/20388.50 x 11$4,273.50Writing fractions with a common denominator to add or subtract
Answer:
5/6-1/9=45/54-6/54=39/54.
Step-by-step explanation:
hey!
To make fractions have a common denominator, multiply both the numerator and denominator by the same number. For example, 5/6=45/54 because I multiplied 5 and 6 both by 9, and 1/9= 6/54 because I multiplied 1 and 9 by 6. This is the same for all fractions.
Hope this helped :)
Answer:
13/18
Reasoning:
First. We have to find the GCD
Second. Multiply both fractions with the number that creates the GCD
5/6 x 3/3 - 1/9 x 2/2 = 15/18 - 2/18
Third. Subtract 15/18 - 2/18 = 13/18
( Would appreciate if you marked me brainliest )
If it takes 15 minutes to dry your hair with a 1.200 kW hair drier, how much energy is used in drying your hair?
The quantity of energy moved or transformed per unit of time is referred to as power. The amount of energy that is consumed by the hairdryer in 15 minutes will be 0.3 kWh.
What is power?The quantity of energy moved or transformed per unit of time is referred to as power.
Formula: Power = Energy / Time
Units: kW = kWh / hour
The power of electric equipment is given by the formula,
P = E/t
where E is the energy consumed in kWh and t is the time in hours.
Given the power of the hairdryer is 1.200 kW while the time for which it is kept on is 15 minutes, therefore, 0.25 hours. Now, the energy consumed by the dryer in 15 minutes will be,
1.200 kW = E / 0.25
0.3 kWh = E
Hence, the amount of energy that is consumed by the hairdryer in 15 minutes will be 0.3 kWh.
Learn more about Power:
https://brainly.com/question/2289248
#SPJ1
GIVING BRAINLIEST!!!!!
Answer:
option 1, 2
Step-by-step explanation:
since R is between Q and S
____________________
Q (3x+6) R (5x-2) S
--------------(12x - 4)-------------
Q S
so
QR + RS = QS
[tex](3x+6) + (5x - 2) = 12x - 4\\(3x + 5x) + (6 - 2) = 12x - 4\\(8x) + (4) = 12x - 4\\8x + 4 - 4 = 12x - 4 -4\\8x = 12x - 8\\8x - 12x = 12x - 12x - 8\\-4x = -8\\\frac{-4x}{-4} = \frac{-8}{-4}[/tex]
Answer:
2
Step-by-step explanation:
It mentions R is between points Q and S.
Hence, QR + RS = QS.
3x + 6 + 5x - 2 = 12x - 48x + 4 = 12x - 412x - 8x = 4 + 44x = 8x = 2please help.... thank you
Answer:
The first one is 1/2.
The second blank is 1 1/6
The third blank is 3/2
The fourth blank is 5/3
The fifth blank is 2 2/3.
The sixth blank is 2 5/6.
SOMEONE HELP ME PLS I NEED HELP
Answer:
[tex]m\angle{W} = {75{^\circ}}[/tex]
[tex]m\angle{Y} = {15{^\circ}}[/tex]
[tex]m\angle{Z} = {90{^\circ}}[/tex]
Step-by-step explanation:
All angles in a triangle must add up to [tex]180{^\circ}[/tex]
First we can use an equation to find [tex]x[/tex]
[tex](x - 15) + (2x - 165) + 90 = 180[/tex]
[tex]3x - 180 = 90[/tex]
[tex]3x = 270[/tex]
[tex]x = 90[/tex]
Now we can solve for [tex]\angle W[/tex]and [tex]\angle Y[/tex] through substitution
[tex]\angle{W} = 90 - 15 \rightarrow \boxed{75{^\circ}}[/tex]
[tex]\angle{Y} = 2x - 165 \rightarrow 2(90) - 165 \rightarrow 180 - 165 \rightarrow \boxed{15{^\circ}}[/tex]
Now we can classify the triangle
It is right because it has a [tex]90{^\circ}[/tex] angle
These are the answers
- Kan Academy Advanced
Aaron flips a coin three times, what is the correct sample space (all possible outcomes)?
H or T
HHH, HHT, HTH, THH, TTH, THT, HTT, TTT
HT, HT, HT
HHH
HHH, HHT, HTH, THH, TTH, THT, HTT, TTT
That is representative of all possible outcomes from flipping the coin
You are in business and have a product that sells for $10 that 1,000 people buy each month You want to make a profit and wonder whether you should raise the price in increments of a dollar For each dollar you raise the price , you lose 100 customersHow many dollars can you increase in price to maximize your profit or should you increase in price at all?
Based on the attached photo and explanation below, the price should not be increased at all.
How to know when profit is maximized?Note: See the attached photo for the calculation of Revenues at Different Number of Customers and Prices.
Every other being equal, profit is maximized when revenue is at the maximum,
From the attached photo, it can be seen that revenue is at the maximum or the highest when the price is $10 and the number of customers is 1,000.
Increasing the price in increments of a dollar results in a fall in revenue progressively until it reaches $0.
Therefore, the price should not be increased at all.
Learn more about revenue here: https://brainly.com/question/13383966.
#SPJ2
Fake records usually have fewer first digits 1, 2, and 3. What is the approximate probability, if Benford's law holds, that among 1500 randomly chosen invoices there are 843 or fewer amounts with first digit 1, 2, or 3
The probability that there are 843 or fewer amounts with first digit 1, 2, or 3 is 0.562
How to determine the probability?The given parameters are:
Fewer digits = 843
Total = 1500
The probability is then calculated as:
P = 843/1500
Evaluate the quotient
P = 0.562
Hence, the probability that there are 843 or fewer amounts with first digit 1, 2, or 3 is 0.562
Read more about probability at:
https://brainly.com/question/251701
#SPJ4
Find the value of x.
Answer:
Step-by-step explanation:
Comment
The general formula for a tangent and secant is
tangent^2 = external segment * full length of the secant.
Givens
tangent length = x
external segment = 7
secant length = 7+ 21
Formula
x^2 = 7 * (7 + 21) Remove brackets
x^2 = 7 * 28 Combine
x^2 = 196 Take the square root of both sides
√x^2 = √196
x = 14
Answer: x = 14
Write and simplify an expression that represents the sum of the perimeters of the square and the triangle.
A square with side length 6x. A triangle with side lengths 3x, 3x, and x - 2.
Answer:
To solve this question, you simply apply algebraic formulas to geometric relationships.
The perimeter is simply the sum of the lengths of the sides of a shape. However, in this case, there is an "x" involved, so you must add algebraically.
Simply add the length of the sides up.
[3x] + [6x-2] + [x+3] + [4x+1] + [5x-2] = Perimeter
Now, simplify. Since adding is commutative, you can simply put all the variables first and constants next, no matter where they come from within the expression.
3x + 6x + x + 4x + 5x + -2 + 3 + 1 + -2
19x + 0 (-2-2 + 3+1 cancel out)
The perimeter of this pentagon is 19x.
Step-by-step explanation:
The blue dot is at what value on the number line?
Answer:
I believe it would be -20 because the number line values skip by 2 or 3 each skip.
what's the answer to 4x-6=3x
Put this equation into slope-
intercept form.
5x – 4y = 12
Answer:
[tex]y =\frac{5}{4}x+ ( -3)[/tex]
Step-by-step explanation:
Step 1: Subtract 5x from both sides
[tex]5x - 4y = 12[/tex]
[tex]5x - 5x - 4y = 12 - 5x[/tex]
[tex]-4y = 12 - 5x[/tex]
Step 2: Divide both sides by -4
[tex]\frac{-4y}{-4} = \frac{12}{-4} - \frac{5}{-4}x[/tex]
[tex]y =\frac{5}{4}x+ ( -3)[/tex]
Answer: [tex]y =\frac{5}{4}x+ ( -3)[/tex]
ixl a game company sold 292 games 290 of the games were board games and the rest were card games what is the ratio of the number of card games to the total number of games
Answer:
2:292
Step-by-step explanation:
They sold 292 in total
290 were board games and the rest were cards
so,
292-290=2
2 card games
Answer: 2:292
Step-by-step explanation:
They sold 292 in total
290 were board games and the rest were cards
so,
292-290=2
2 card games
2
3 D
5
6
8
9
10
x²-4
Which shows all the critical points for the inequality ²-5x+6
<<0?
O x=-2 and x = 2
Ox= 2 and x = 3
Ox=-3, x = -2, and x = 2
O x= -2, x = 2, and x = 3
The critical points for the inequality x²-5x+6 is x= 2 and x = 3.
What is critical point?In calculus, a critical point of a function is a point where the derivative of the function is either zero or undefined.
These points are important in determining the maximum and minimum values of a function, and can also help identify points of inflection and other important features of a curve.
To find the critical points for the inequality x²-5x+6, we need to find the values of x that make the expression equal to zero (i.e., the roots of the quadratic equation).
We can factor the expression as (x-2)(x-3) and set each factor to zero to find the critical points:
x-2 = 0 or x-3 = 0
x = 2 or x = 3
So the critical points are x = 2 and x = 3.
Therefore, the answer is x= 2 and x = 3.
For more details regarding critical point, visit:
https://brainly.com/question/31017064
#SPJ7
The table shows the annual sales revenues of different types of vehicles made by four automobile manufacturers.
The number in the highlighted cell is ______ (options are: a. the number of convertibles sold by Pluto Cars b. the revenue from sales of convertibles by Pluto Cars c. the revenue from sales of sedans by Pluto Cars d. the total sales revenue of Pluto Cars). The relative frequency of this vehicle category compared with the total sales revenue of Pluto Cars is _______ (options are: a. 0.107 b. 0.225 c. 0.29 d. 0.33)
Using the relative frequency concept, it is found that:
The number in the highlighted cell is: b. the revenue from sales of convertibles by Pluto CarsThe relative frequency of this vehicle category compared with the total sales revenue of Pluto Cars is: b. 0.225.What is a relative frequency?A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.
The number in the cell has bounds conversible and Pluto Cars, and the table represents the amount earned, that is, revenue, hence option b is correct.
The total revenue of Pluto Cars is of $80 million, with convertibles corresponding to $18 million, hence the relative frequency is given by:
r = 18/80 = 0.225.
More can be learned about relative frequency at https://brainly.com/question/14398287
#SPJ1
help pleasee!!?? Thank u
Answer: 9,156.24 ft³
Step-by-step explanation:
The formula for the volume of a cylinder is V = πr²h. The problem gives us both the radius and the height, so we have all necessary values to solve by substitution:
r = 9
h = 36
V = π(9)²×36
= 81 × 36 × π
= 2916π
= 9,156.24 ft³
The diameter of a circle is 14 miles. What is the circle's area?
Use 3.14 for .
Answer:
153.86cm^2
Step-by-step explanation:
area of a circle= πr^2
where r = radius= 14/2= 7miles
area= 3.14×(7×7)
area= 3.14×49= 153.86cm^2
Can someone PLEASE help with these 10th grade geometry angle problems? I have no idea how to solve these and I'm desperate. My teacher won't get back to me and I really need this done. will reward brainly and 5 stars + thanks. You don't have to answer both if you don't want to. either would help tremendously.
Given
m∠MPN = 35°mLP = 130°To find
The value of mMNWe can see MN is intercepted by the angle MPN.
Inscribed angle is half the measure of intercepted arc
m∠MPN = 1/2mMN ⇒ mMN = 2 × m∠MPN = 2 × 35° = 70°The answer is mMN = 70°
Question 2Given
m∠AOB = 40°mED = 60°To find
m∠CODSee the solution with reasons for each line
m∠COD = m∠EOB ⇔ vertical angles are congruentmBD = 180° ⇔ BD is diameter and cuts the circle in halfm∠EOB = mBD - mED ⇔ Angle addition m∠EOB = 180° - 60° = 120° ⇔ SubstitutionSo the answer is m∠COD = 120°
Select the equation of the line in slope-intercept form: 4x + 9y = 36
Answer:
y= -4x/9+4
Step-by-step explanation:
4x+9y=36 (move 4x)
9y=-4x+36 (divide by 9)
y= -4/9x+36/9
y= -4x/9+4
solve 8,327.8- 12.034 923.01+74.289
Answer:
8,327.8 - 12.034 = 8315.766
923.01 + 74.289 = 997.299
hope this helps:)
help meeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
*These Should be the correct answers*
1.C
2.D
Step-by-step explanation:
Which sign makes this number sentence true?
|-56| __ |56|
A. >
B. <
C. =
D. x
Hey there!
Basically your above absolute value is the proportions of real numbers regarding the sign of it. So, a negative absolute value will most likely be a positive. Same thing with positive & positive & also a positive & a negative. It all depends!
So, the correction equation should be:
|-56| = |56|
Answer: =
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
sharmar spent at least 30 minutes playing his guitar on saturday he spent 10 minutes longer playing his guitar on saturday than on friday. how many minutes could shamar have played his guitar on friday F?
Factor fully. Show all work.
a) 27m²−3
b) 10x³+5x²−50xy−25y
Answer:
A=
[tex]3(3m + 1)(3m - 1)[/tex]
Step-by-step explanation:
[tex] {27m}^{2} - 3[/tex]
Factorise
[tex]3( {9m}^{2} - 1)[/tex]
Rewrite it
[tex]3(( {3m)}^{2} - {1}^{2} )[/tex]
[tex]3(3m + 1)(3m - 1)[/tex]
A. Determine the length of Seneca between Mesa and La Paz Dr.
Round your answers to the nearest foot. Show all your work and explain each step of your solution.
B. Determine whether the driver on Seneca Street was traveling within the speed limit.
Round your answers to the nearest foot. Show all your work and explain each step of your solution.
C. Determine the maximum length of the skid marks left on Seneca Street by a car that travels within the speed limit.
Round your answers to the nearest foot. Show all your work and explain each step of your solution.
SHOW YOUR WORK!
The length of Seneca between Mesa and La Paz Dr is = 144ft.
The driver of the Seneca Street was driving at 0.75 mi/hr therefore he was with the speed limits.
The maximum length of the skid marks left of Seneca Street by a car that travels within the speed limit is = 144ft
Calculation of car speed limitsTo determine the length of Seneca, the various lengths of Mesa and La Paz Dr is used;Length of Mesa (a)= 308ft
Length of La Paz Dr (c)= 340ft
Length of Seneca =b
Using Pythagorean theorem,
c²= a² + b²
340²= 308² + b²
make b the subject formula,
b² = 340² - 308²
b² = 115,600 - 94,864
b²= 20736
b = √20736
b = 144ft.
To determine the if the driver at Seneca Street was driving at speed limit;The speed limit within the Seneca road(s) = 50mi/h
The coefficient of friction (f) based on the surface material = 0.7 (asphalt).
The distance covered by the car = 144ft to miles = 144/5280 = 0.027.
Therefore the speed of car(s)
=√30fd
= √30 × 0.7× 0.027
= √0.567
=0.75 mi/hr
To determine the maximum length of the skid marks left of Seneca Street by a car that travels within the speed limit is the same with the length of Seneca. which is = 144ft.Learn more about speed here:
https://brainly.com/question/4931057
#SPJ1