Answer:
simplest Form (fractions) A fraction is in simplest form when the top and bottom cannot be any smaller, while still being whole numbers.
Step-by-step explanation:
To simplify a fraction: divide the top and bottom by the greatest number that will divide both numbers exactly (they must stay whole numbers). hope this helps you :)
Answer:
-8r/s
Step-by-step explanation:
r /s - 9r /s
The denominator is the same so subtract the numerators
r - 9r
-8r
Put this back over the denominator
-8r/s
In a certain Algebra 2 class of 27 students, 5 of them play basketball and 12 of them
play baseball. There are 2 students who play both sports. What is the probability that
a student chosen randomly from the class plays basketball or baseball?
The probability that a student chosen randomly from the class plays basketball or baseball is 0.56.
We are able to utilize the equation:
P(B or b) = P(B) + P(b) - P(B and b)
where
B speaks to playing ball
and b speaks about playing baseball.
From the given data, we have:
P(B) = 5/27 (the likelihood of playing ball)
P(b) = 12/27 (the likelihood of playing baseball)
P(B and b) = 2/27 (the likelihood of playing both sports)
Substituting these values into the equation, we get:
P(B or b) = P(B) + P(b) - P(B and b)
= 5/27 + 12/27 - 2/27
= 15/27
= 5/9
Hence, the likelihood that an understudy chosen haphazardly from the course plays ball or baseball is 5/9 or around 0.56.
To know more about probability refer to this :
https://brainly.com/question/24756209
#SPJ1
405 increased by 8.3
Answer:
413.03
Step-by-step explanation:
405 increased by 8.3 is 405+8.3.
[tex]405+8.3=\\405+8.0+0.3=\\413+0.3=\\413.03[/tex]
Answer:
413.3 if ADD, 437.5215 if add by percent
Step-by-step explanation:
If it's increaced by 8.3%, then it is 405 + 32.5215 = 437.5215
If it's add 8.3, then it's 413.3.
The wheels of a car are of radius 40cm each, if the car is travelling at a speed of 66km/h, find the number of revolutions made by each wheel in 20 minutes
Answer: Each wheel makes 437.5 revolutions in 20 mins
Step-by-step explanation:
Circumference = 2πr
Given that the radius is 40 cm
Circumference = 2π(40) = 80π cm
Find the distance traveled in 20 mins
Speed = 66 km/h
1 hour = 66 km
Rewrite hour into min
60 min = 66 km
1 min = 66 ÷ 60 = 1.1 km
Rewrite km in cm
1.1 km = 1.1 x 10,000 cm = 110,000 cm
Find the number of revolutions in 20 mins:
1 revolution = 80π cm
Number of revolution = 110,000 ÷ 80π = 437.5
Which of the following is a like radical to 6x2?
o x(V6x
(VR)
o 6
3
O
4
6x2
o x(VB)
Answer:
3
Step-by-step explanation:
A gardener wants to run a border around the outside of her garden. She plots it on a grid to plan how much she will
need. The garden is in the shape of a rectangle with vertices at (3,9) (5, 9) (3, 3) (5,3). Find the total length of border
needed.
Answer:
16ft
Step-by-step explanation:
Each side is 2 units long, 2^4 or 2x2x2x2 is 16.
Grace wants to attend University of Oklahoma. One year at University of Oklahoma costs approximately $20,000. She currently has $4,000 in savings. Grace has received a one-time grant of $1,000 and an annual academic scholarship for $4,000. She plans to enroll in the work study program that will pay $9,000 annually for part-time work. How much will Grace need to borrow in student loans in order to attend University of Oklahoma for 4 years?
Answer:
Grace needs to borrow $23,000 in students loan in order to attend University of Oklahoma for 4 years.
Step-by-step explanation:
Cost for one year at University of Oklahoma = $20,000
Cost for 4 years = 4 × $20,000 = $80,000
Total amount Grace would have in 4 years = $4,000 + $1,000 + ($4,000×4) + ($9,000×4) = $57,000
Amount she needs to borrow = $80,000 - $57,000 = $23,000
Here is a list of numbers: 8, 6, 19, 14, -19, -3, -14, 20, -9 State the median.
Answer:
6
Step-by-step explanation:
rearrange the numbers from smallest to biggest:
-19, -14, -9, -3, 6, 8, 14, 19, 20
the set of data the question requires is the middle data. there are 9 sets of data. the middle data = (9 + 1) ÷ 2 = 5
find the fifth piece of data from the rearranged order.
ans: 6
Answer:
6
Step-by-step explanation:
gotchu G
The diameter of a semicircle is 98 meters. What is the semicircle's radius?
Answer:
It is 49
Step-by-step explanation:
Divide 98 by 2 to get semicircle radius.
Answer:
49 meters
Step-by-step explanation:
The radius is half of the diameter
98 divided by 2 is 49 which is the radius of the semicircle
Solve: g^2x + 1 = g^3x – 2
[tex]\displaystyle\bf\\g^{2x+1}=g^{3x-2}\\\\g=g\\\\3x-2=2x+1\\\\3x-2x=1+2\\\\\boxed{\bf x=3}[/tex]
Suppose that F(x)=x^3 and G(x)=-2x^3. Which statement best compares the graph of G(x) with the graph of F(x)?
Answer:
Answer: Choice C)
Stretched vertically, flipped over x axis, shifted 7 units down
Step-by-step explanation:
The graph of g(x) is graph of f(x) reflected along the y - axis. Its magnitude is also multiplied by 2.
What is the general equation of a Cubic function?A cubic function is of the form f(x) = ax³ + bx² + cx + d, where a, b, c, and d are constants and a ≠ 0. It has a degree of 3 and has 3 possible roots.
We have the following functions -
f(x) = x³
g(x) = -2x³
The graph of g(x) is graph of f(x) reflected along the y - axis. Its magnitude is also multiplied by 2. Refer to the graph attached.
Therefore, the graph of g(x) is graph of f(x) reflected along the y - axis. Its magnitude is also multiplied by 2.
To solve more questions on straight lines, visit the link below-
https://brainly.com/question/3515440
#SPJ5
The origin is contained in the solution set for this system of inequalities
y< 2x + 4
y> -2x - 2
Select one:
O True
O False
Answer:
O True
Step-by-step explanation:
If we substitute (x, y) = (0, 0) into both inequalities, we have ...
0 < 2·0 +4 ⇒ 0 < 4 . . . true
0 > -2·0 -2 ⇒ 0 > -2 . . . true
The point (0, 0) satisfies both inequalities, so is contained in the solution set.
Mitch is buying candy bars for his friends he wants to give 2 bars to each friend and he wants to have 10 spare bars he can afford to buy 24 candy bars
Answer:
e can treat 7 friends
Step-by-step explanation:
2f+10=24
2f=24-10=14
f=14/2=7
yooo please help asap!!! marking brainiest!!!
Answer:
[tex] - x {}^{2} - 10 = 34[/tex]
in Germany, VAT is at 19 % Jeremy buys a calculator for 58.31 German money this price contains VAT find the amount of VAT paid by jeremy
Answer:
9.31?
Step-by-step explanation:
Please help again! Same thing!
Answer:
a = - 3, b = 5
Step-by-step explanation:
To rationalise the denominator multiply the numerator/ denominator by [tex]\sqrt{2}[/tex]
= [tex]\frac{\sqrt{2}(10-\sqrt{18}) }{(\sqrt{2})^2 }[/tex]
= [tex]\frac{10\sqrt{2}-\sqrt{36} }{2}[/tex]
= [tex]\frac{10\sqrt{2}-6 }{2}[/tex]
= 5[tex]\sqrt{2}[/tex] - 3
= - 3 + 5[tex]\sqrt{2}[/tex] ← in the form a + b[tex]\sqrt{2}[/tex]
with a = - 3 and b = 5
The fletcher family puts loose change into a jar every evening. Once a month, the family counts the coins and prepares to take it to the bank, but removes all the pennies first. Last month, they found there were 14 more quarters than dimes, and the number of nickels was 8 less than 4 times the number of dimes. If the total value of the nickels, dimes, and quarters was $15.75, how many dimes did they have?
Answer:
They have 23 dimes
Step-by-step explanation:
Let x be the number of dimes
1 dime = 0.1 dollar
x dimes = 0.1x dollars
They found there were 14 more quarters than dimes.
No. of quarters = x+14
1 quarter = 0.25 dollar
(x+14) quarter =0.25 (x+14)
The number of nickels was 8 less than 4 times the number of dimes.
So, No. of nickels= 4x-8
1 nickel = 0.05 dollar
(4x-8) nickel = 0.05(4x-8) dollar
The total value of the nickels, dimes, and quarters was $15.75.
So,0.1x+0.25 (x+14)+ 0.05(4x-8)=15.75
x=23
Hence they have 23 dimes
Both Euclidean and non-Euclidean geometry have been accepted as valid types of geometry. True or False?
Answer: true
Step-by-step explanation:
A map is drawn to a scale of 1:50000.The distance between long mountain and plaine des papayes is 17.5 cm on the map.find the actual distance in km.
Answer:
8.75 km.
Step-by-step explanation:
You can set up a ratio of the map to the actual distance of [tex]\frac{1}{50000}[/tex].
Then, this ratio can be used to cross multiply and divide to get an equivalent ratio for the distance:
[tex]\frac{1}{50000}[/tex]=[tex]\frac{17.5 cm}{x cm}[/tex] By cross-multiplying we have x (in centimeters) = 17.5×50000. This tells us that x = 875,000 cm.
However, the answer asks for the distance in kilometers, so we need to convert it. There are 100,000 centimeters in a kilometer, so by dividing: 875000÷100000=8.75 kilometers.
HELP ITS ABOUT TRIANGLESSSS. Image is attached Explanation neede plzzz
Answer:
D.
Step-by-step explanation:
So angle 2 = 180 - angle 1
Angle 1 = angle 3 + angle 4.
Angle 2 = 180 - angle 3 - angle 4
So, you can come to the conclusion that (angle 1 + angle 2) = 180°
and (angle 3 + angle 4 + angle 2) = 180°
Which transformation(s) can map TriangleMNQ onto TrianglePQN?
translation only
reflection only
rotation, then reflection
rotation, then translation
Answer:
Translation
Step-by-step explanation:
Answer:
D. Rotation then translation
Step-by-step explanation:
pls Answer my question.
answer it I will make brain list
please answer quickly.
Answer:
sinP = 7/25
cosQ = 7/25
tanP = 7/24
cotQ = 7/24
secP = 25/7
cscQ = 25/24
Step-by-step explanation:
sin∅ is opposite over hypotenuse
cos∅ is adjacent over hypotenuse
tan∅ is opposite over adjacent or sin∅/cos∅
csc∅ is hypotenuse over opposite or 1/sin∅
sec∅ is hypotenuse over adjacent or 1/cos∅
cot∅ is adjacent over opposite or cos∅/sin∅
Since triangle RQP is a right triangle, we can use trig and Pythagorean Theorem: a² + b² = c²
The missing side length RQ after we use Pythagorean Theorem would be 7.
From there, we can find the trigonometric values.
Answer:
Step-by-step explanation:
Maurice bought 25 shares of stock at $9.85 per share and sold them for $11.22 per share. (Do not use commas, percentage signs or dollar signs in your answers. Round percentage answers to the nearest tenth) What was his purchase price?
Solution: 25 × $9.85= $246.25 purchase price
25 × $11.22 = $280.5 sale price
$280.5 – $246.25 = $34.25 profit in dollars
$34.25 ÷ $246.25 = 0.139 = 13.9% ROI
Purchase price of the share is equals to 246.25dollars.
Profit percentage is equals to 13.9 percentage ( nearest tenth).
What is purchase price?
" Purchase price is defined as the total amount paid to buy any product."
Formula used
Profit = Selling price - Purchase price
Profit percentage = [tex]\frac{profit}{cost price} (100)[/tex]
According to the question,
Total number of shares = 25
Purchase price of one share = 9.85 dollars
Selling price of 1 share = 11.22 dollars
Therefore,
Purchase price of 25 shares = (9.85 × 25 )dollars
= 246.25 dollars
Selling price of 25 shares = (11.22 × 25) dollars
= 280.5 dollars
Selling price > Purchase price
Therefore,
Profit = Selling price - Purchase price
= 280.5 - 246.25
= 34.25 dollars
Substitute the value in the formula we get,
Profit percentage = [tex]\frac{34.25}{246.25} (100)[/tex]
= 13. 9 percentage ( nearest tenth)
Hence, purchase price of the share is equals to 246.25dollars.
Profit percentage is equals to 13.9 percentage ( nearest tenth).
Learn more about purchase price here
https://brainly.com/question/15623552
#SPJ2
An event management company purchases a new van. The value of the van, x years after the purchase, is shown in the table. here is the graph: Time (years): 0, 1, 2, 3 Value (dollars): 20000, 18000, 16200, 14580
Answer:
D
Step-by-step explanation:
A is not right as we don't know the formula used so we cant say the x intercept
B is not right as the function is not liner
C The function is not liner
That leaves D!
hope this helps!
Answer:
D
Step-by-step explanation:
Can somebody help me with this ?? :)
Answer:
B.
Step-by-step explanation:
ABC ≅ XYZ
∠A≅∠X
∠B≅∠Y
∠C≅∠Z
Also, should be
AB =XY
BC=YZ
CA=ZX
By ASA, ∠A≅∠X, AB =XY, ∠B≅∠Y.
Answer B.
12:13:14 = 48:x:56
What is x?
Answer:
x = 52
Step-by-step explanation:
You are given ratios, and the 1st ratio is being multiplied by 4 to get the second ratio. How did I find this? Divide 48 by 12 and you get 4. To find x, simply multiply 13 by 4 and you should get 52
Hi, can someone please answer this question? Thanks!!!
Answer:
m∠QPR = 20°
Step-by-step explanation:
Step 1: Find x
4x + 27 + 9x - 115 = 107
13x - 88 = 107
13x = 195
x = 15
Step 2: Find m∠QPR
9(15) - 115
135 - 115
m∠QPR = 20°
The diagonal of a rectangle is 58" the site is 40" and the base is 42" what is the ratio of the diagonal to the base of the rectangle
Answer:
29:21
Step-by-step explanation:
The ratio of the diagonal to the base of ration is written as 58:42.
The ratio has the greatest common factor as 2.
58÷2:42÷2
29:21
The simplified ratio becomes 29:21.
y = 4x – 6
can someone find me the slope for this thanks
Answer:
Slope = m = 4
Step-by-step explanation:
y = 4x-6
Comparing this with the standard slope-intercept equation:
[tex]y = mx+b[/tex]
Where m is the slope and b is the y-intercept.
So, we get:
Slope = m = 4
Answer:
4
Step-by-step explanation:
The equation of a line has a formula.
y = mx + b
Where m is the slope, and b is the y-intercept.
The equation for this line is given:
y = 4x + - 6
m = 4
b = -6
4 is the slope, and -6 is the y-intercept.
what is a graph that has a limited number of data point
Answer:
Line Graph
Step-by-step explanation:
A line graph shows how values change. For example you could plot your growth over time .And lind graphs can show you how functions change.
Which explains wether or not the graph represents a direct variation? LOOK AT THE PHOTO pls pls pls help
Answer:
The first choice.
Step-by-step explanation:
Direct variation is represented by y = kx where k is a constant and the graph passes through the origin.
Here k = 3..