find the difference. express your answer in simplest form. (4r/s) - (r/s)
Numerical Expressions -I need help to understand how to complete this example . Any help would be appreciated.
Basketball 16+2=18 (2*8)+2
Baseball 40-5=36 (5*8)-4
Softball 18+6=24 ( (5*8)-4)/2 +6
8+18+36+24=86
How does the volume of a cylinder change when its diameter is quadrupled?
When the diameter of a cylinder is quadrupled, its volume increases by a factor of 4 because the volume is directly proportional to the square of the radius.
When the diameter of a cylinder is quadrupled, it means the diameter is multiplied by 4.
The formula for the volume of a cylinder is [tex]\(V = \pi r^2 h\)[/tex], where r is the radius and h is the height.
If the diameter is quadrupled, the radius would be doubled because the radius is half the diameter.
Let's denote the original radius as r and the new radius after quadrupling the diameter as 2r.
Substituting the new radius into the volume formula, we get:
Original Volume: [tex]\(V_1 = \pi r^2 h\)[/tex]
New Volume: [tex]\(V_2 = \pi (2r)^2 h = \pi (4r^2) h\)[/tex]
We can see that the new volume is 4 times the original volume [tex](\(V_2 = 4V_1\))[/tex].
So, when the diameter of a cylinder is quadrupled, its volume increases by a factor of 4.
a trapezoid with an area of 166.75 in has bases that measure 21 in and 8 in find the height of the trapezoid
The area of trapezoid is calculated as -
Area of trapezoid = [tex] \frac{a + b}{2} X height [/tex]
Here, a = base 1
b = base 2
Height is the height of trapezoid.
It is given that,
Area of trapezoid = 166.75 in
Base 1, a = 21 in
Base 2, b = 8 in
Area of trapezoid = [tex] \frac{a + b}{2} X height [/tex]
166.75 in = [tex] \frac{21 in + 8 in}{2} X height [/tex]
Height = [tex] \frac{ 166.75 in}{14.5}
Height = 11.5 in
Thus, height of trapezoid = 11.5 In
The vertices of a triangle are A(4,5), B(7,1), and (9,6). After reflecting over the line x = 5, what are the new coordinates? A) A'(5,6), B'(1,3), C'(6,1) B) A'(6,5), B'(3,1), C'(1,6) C) A'(5,5), B'(5,1), C'(5,6) D) A'(5,4), B'(5,7), C'(5,6)
the answer is B i just did it
Answer:
The answer is B.
Step-by-step explanation:
I took the benchmark too.
Which equation has no solution?
4(x + 3) + 2x = 6(x + 2)
5 + 2(3 + 2x) = x + 3(x + 1)
5(x + 3) + x = 4(x + 3) + 3
4 + 6(2 + x) = 2(3x + 8)
Answer:
5+ 2(3+2x) = x + 3(x+1) or B
Step-by-step explanation:
correct on edge 2021
The Equation have No solution is 4(x + 3) + 2x = 6(x + 2).
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
First, 4(x + 3) + 2x = 6(x + 2)
4x + 12 + 2x = 6x + 12
6x + 12 = 6x+ 12
0 = 0
Thus, the equation have No solution.
Second, 5 + 2(3 + 2x) = x + 3(x + 1)
5 + 6 + 6x = x + 3x + 1
6x+ 11 = 4x+ 1
2x = -10
x= -5
Thus, the equation have one solution.
Third, 5(x + 3) + x = 4(x + 3) + 3
5x+ 15 +x = 4x + 12 + 3
6x +15 = 4x + 15
2x = 0
x= 0
Thus, the equation have one solution.
Learn more about equation here:
https://brainly.com/question/29657983
#SPJ7
Which is not a factor of 56? A. 4 B. 8 C. 14 D. 26
kendra flips a coin 3 times what is the probability that she flips tails all 3 times
To find the probability of flipping tails all three times, we need to consider that each flip of a fair coin has a probability of 0.5 of landing on tails.
Since the coin flips are independent events (the outcome of one flip doesn't affect the outcome of another flip), we can simply multiply the probability of each individual flip.
So, the probability of flipping tails three times in a row is:
P(Tails, Tails, Tails) = P(Tails) × P(Tails) × P(Tails)
P(Tails, Tails, Tails) = 0.5 × 0.5 × 0.5
P(Tails, Tails, Tails) = 0.5³
P(Tails, Tails, Tails) = 0.125
So, the probability that Kendra flips tails all three times is 0.125 or18.
The probability of flipping tails on a fair coin is 0.5 (or 1/2) since there are two equally likely outcomes, heads or tails. When flipping a coin three times, each flip is independent, meaning the outcome of one flip doesn't affect the outcome of another.
To find the probability of flipping tails all three times, we multiply the probability of each individual flip.
So, 0.5 (tails on the first flip) times 0.5 (tails on the second flip) times 0.5 (tails on the third flip) equals 0.5³ = 0.125.
Therefore, the probability that Kendra flips tails all three times is 0.125 or 1/8.
Complete Question:
Kendra flips a coin 3 times what is the probability that she flips tails all 3 times.
the formula for finding the area of a triangle is a equals 1/2 x base height a triangle has height 12 in an area of 54 in squared what is the length of its base
Kim spent $26 on a magazine and 6 notepads have the magazines cost $2 then how much was each Notepad
how do you do application of linear equations
which is a value of x, when 3x²+4=40
what is the solution to the linear equation? 2.8y+6+0.2y=5y-14
Answer:
Step-by-step explanation:
D)10
Explain why 0.77 > 0.077
Martina chose a random sample of 10 bags of candy from two different Brands, A and B. All bags in the sample are the same size. Martina counts the number of candy pieces in each bag and plots the results on two dot plots.
(see photo)
Based on the plots, which statement is a valid comparison of the number of candies in the bags of the two Brands?
A. The number of candies in the bags from Brand B is greater and more consistent than the number of candies in the bags from Brand A.
B. The number of candies in the bags from Brand B is greater and less consistent than the number of candies in the bags from Brand A.
C. The number of candies in the bags from Brand B is fewer and more consistent than the number of candies in the bags from Brand A.
D. The number of candies in the bags from brand B is fewer and less consistent than the number of candies in the bags from brand A.
Isabella and Mateo each collect beautifully polished rocks. The weights, in ounces, of their rocks are listed below.
Which statistical measure could be used to support the claim that Mateo’s rocks generally weigh more than Isabella’s rocks?
Question 7 options:
A) mean
B) median
C) mode
D) range
The circumference of a circle is approximately 37.7 centimeters. Enter the radius of the circle, in centimeters. Round your answer to the nearest whole number.
The circumference of the circle is given as 2[tex] \pi [/tex]r where [tex] \pi [/tex] is a constant whose value is equal to 22/7 and r is the radius of the circle
From the given problem, we have the circumference =37.7
2[tex] \pi [/tex]r = 37.7
2*22/7*r = 37.7
r = 37.7*7/(22*2)
r = 263.9/44
r = 5.99
r = 6cm
Radius = 6 centimeters (Rounded to nearest whole number)
The lowest altitude of an altocumulus cloud is about 3 8 feet. The highest altitude of an altocumulus cloud is about 3 times the lowest altitude. What is the highest altitude of an altocumulus cloud? Write your answer as a power
It is given The lowest altitude of an alto cumulus cloud is about [tex]3^{8}[/tex] feet.The highest altitude of an alto cumulus cloud is about 3 times the lowest altitude . The question is asking us to find the highest altitude of an alto cumulus cloud.
The the highest altitude of an alto cumulus cloud = [tex]3 .(3^{2}) =3^{1+2}=3^{9}.feet.[/tex].
It is given The lowest altitude of an alto cumulus cloud is about [tex]3^{8}[/tex] feet.The highest altitude of an alto cumulus cloud is about 3 times the lowest altitude . The question is asking us to find the highest altitude of an alto cumulus cloud.
The the highest altitude of an alto cumulus cloud = [tex]3 .(3^{2}) =3^{1+2}=3^{9}.feet.[/tex].
the ratio of boy to girls in 8th grade is 5 to 3 ,how many girls are there in 8th grade if there are 80 students in 8th grade
. Thus, the number of girls =30.
Let's denote the number of boys as 5x and the number of girls as 3x. According to the problem, the total number of students is the sum of both boys and girls:
5x + 3x = 80
Combining the terms, we get:
8x = 80
Now, solving for x:
x = 80 / 8
x = 10
Now that we know the value of x, we can find the number of girls:
Number of girls = 3x = 3 * 10 = 30
Therefore, there are 30 girls in the 8th grade.
7r. r represents a fraction which value of r makes the expression equal a number less than 7? 4/4 or 4/3 or 4/5 or 4/1
The value of r that makes the expression 7r less than 7 is 4/5, as multiplying 7 by 4/5 results in 5.6, which is less than 7.
The question asks which value of r makes the expression 7r equal a number less than 7, given the choices of 4/4, 4/3, 4/5, or 4/1. To find the solution, we simply multiply 7 by each fraction option and see which results in a number less than 7.
For 4/4 (or 1): 7 * 1 = 7For 4/3: 7 * (4/3) > 7For 4/5: 7 * (4/5) = 5.6, which is less than 7For 4/1 (or 4): 7 * 4 > 7Thus, the value of r that makes the expression 7r result in a number less than 7 is 4/5.
Please help ASAP! And please show steps or explain!
The sine of 37 degrees is equal to the cosine of what angle
Answer:
53
Step-by-step explanation:
The sine and cosine have to be equal to 90 degrees.
major help and if you can, please explain how you got your answer
the cost of running an appliance varies jointly as the number of watts used, the hours of operation, and the cost per kilo-watt hour. A 6000 watt convection oven operates for 10 minutes for 15 cents at a cost of 7.5 cents per kilo-watt hour. what is the cost of cooking two meals if each meal takes 70 minutes to make?
The cost of cooking two 70-minute meals on a 6000-watt appliance with a kilo-watt rate of 7.5 cents will be roughly $1.05.
Explanation:Your question relates to the calculation of the cost of running an appliance based on its power, time of use, and the cost per kilo-watt hour. When evaluating power and energy consumption, we use an equation for energy, which states that E = Pt, where E is the energy (in kilo-watt hours), P is the power (in kilo-watts), and t is the time (in hours).
First, to find the cost, we need to convert everything to respective units. The 6000 watts is equivalent to 6 kilowatts (kw), and 10 minutes is equivalent to 10/60 or approximately 0.167 hours. The cost per kilo-watt hour is 7.5 cents.
The energy consumed would thus be E = Pt = (6kw)(0.167 hr)= 1kwh. The cost of running the appliance for 10 mins is (1kwh)(7.5 cent/kwh) = 7.5 cents.
To cook one meal, with a time of 70 minutes (or approximately 1.167 hours), we will have E = Pt = (6kw)(1.167 hr)= 7kwh. The cost of cooking one meal therefore would be (7kwh)(7.5 cent/kwh) = 52.5 cents.
Finally, to cook two meals, you would just double this cost, resulting in 2 * 52.5 cents = 105 cents or $1.05.
Learn more about Energy Consumption here:
https://brainly.com/question/16025398
#SPJ11
genna painted a table top that is shaped like a circle . the circumferance of the tabletop is 6 feet which measurement is closest to the area of the tabletop in square feet?
556 multiplied by 34
use (r,16) to solve y=2x-4
If a customer wants to cover an area 20ft wide by 57ft long with rock, how many square feet does he have to cover?
10. Write an inverse variation to model the situation and answer the question. Two rectangular fields have the same area. One measures 75 yd by 60 yd. If the other has a length of 72 yd, what is its width?. show your work.
All of the following are equal except
a)-|5|
b)-|-5|
c)|-5|
d) the opposite of 5