Answers
Answer:
12 miles
Step-by-step explanation:
Let the amount of hours it takes Leroy to catch up to Kevin equal x. Since speed multiplied by time is distance, Leroy would have run a total of 6x miles(6*x). Kevin already had a head start of 24 minutes, which is the same as 2/5 of an hour. In 2/5 an hour, Kevin ran 2 miles as 2 is 2/5 *5. For the next x hours his distance would be a total of 5x(5*x). This means, after x hours, Kevins distance is 5x + 2. In this case, catching up to someone is the same as having the same distance value. This means we can set the two expressions equal to each other, and solve:
6x = 5x + 2
x = 2
The time it took Leroy to catch up is 2 hours, but we are looking for the distance, which is represented by 6x. We substitute in 2 to get:
6(2) = 12
This means Leroy had to run 12 miles.
Related Questions
Consider the given statement: Not all rooms at the hotel have a bed.
For each statement below, decide whether it is a negation of the given statement.
A.) No room at the hotel has a bed YES/NO
B.) Some rooms at the hotel have a bed YES/NO
C.) Some rooms at the hotel do not have a bed YES/NO
D.) All rooms at the hotel have a bed YES/NO
Answers
Answer:
The negation is the OPPOSITE of whatever is said, so in this case, the opposite of "Not all rooms at the hotel have a bed." would be D "All rooms at the hotel have a bed" and A "No room at the hotel has a bed"
The correct answers are A and D
Let me know if this helps!
Answer:
a. no because it states that no rooms have a bed when it states not all rooms at the hotel have a bed
b. yes because while its true some rooms dont have a bed other rooms will
c. yes again some rooms do have a bed and some dont
d. no because we have already established that only some rooms have beds not all
hope this helps
Step-by-step explanation:
An article in the November 1983 Consumer Reports compared various types of batteries. The average lifetimes of Duracell Alkaline AA batteries and Eveready Energizer Alkaline AA batteries were given as 4.1 hours and 4.5 hours, respectively. Suppose these are the population average lifetimes.
Required:
Let x̄ be the sample average lifetime of 64 Duracell and ȳ be the sample average lifetime of 64 Eveready Energizer batteries. What is the mean value of x̄- ȳ(i.e., where is the distribution of -centered)?
Answers
Answer:
The mean is of -0.4 hours.
Step-by-step explanation:
To solve this question, we need to understand the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Mean of the sample of 64 Duracell:
By the Central Limit Theorem, 4.1 hours.
Mean of the sample of 64 Eveready:
By the Central Limit Theorem, 4.5 hours.
Mean of the difference?
Subtraction of normal variables, so we subtract the means.
4.1 - 4.5 = -0.4
The mean is of -0.4 hours.
Does anyone know this?
Answers
Answer:
the first term is -4
the difference is 3.
*notice how each term increases by 3:
-4 + 3 = -1
-1 + 3 = 2
2 + 3 = 5
Step-by-step explanation:
Hope you understand it!!
Identify the type of equation: y-6 = 7(x+8)
Answers
Step-by-step explanation:
Recognize the relation between the graph and the slope–intercept form of an equation of a line
Identify the slope and y-intercept form of an equation of a line
Graph a line using its slope and intercept
Choose the most convenient method to graph a line
Graph and interpret applications of slope–intercept
Use slopes to identify parallel lines
Use slopes to identify perpendicular lines
Please helps fill in the charts
A and b
With order of pairs
Answers
Answer:
...
Step-by-step explanation:
seeee the above picture
A whitetail deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute. Which animal is faster and by how many miles per hour? There are 5,280 feet in one mile.
Answers
Answer:
The Bison is faster by 10 miles per hour.
Step-by-step explanation:
The Bison runs at 3520 ft / min
= 3520/ 5280 miles / minute
= (3520/ 5280) * 60 miles per hour
= 40 miles per hour
purchased a book rs 500 sold 20%profit find its actual profit and sel
ling price
Answers
Answer:
Selling price=rs.600.
Profit of rs=100.
Step-by-step explanation:
C.P=500; profit%=20%
S.P.=100+profit%×C.P/100
S.P=120×500/100
=rs.600
S.P>C.P
Profit S.P-C.P
600-500=100
he gained for rs.100.
work out missing angle following polygons
Answers
Answer:
x = 150°
Step-by-step explanation:
Interior angle of a hexagon = 120° and interior angle of a square = 90°
so remaining angle, 360-120-90 = 150°
Which correlation best describes the data below. no correlation weak positive weak negative strong positive
Answers
I need help with the questions that are blank
Answers
9514 1404 393
Answer:
TRIANGLES
Possible
4) Yes
Unique
1) No
2) No
3) Yes
3D SHAPES
Step 2: triangle area 8.75 ft²; total area 52.5 ft²
Step 3: TOTAL AREA = 52.5 ft² + 31.5 ft² = 84 ft²
Step-by-step explanation:
TRIANGLESPossible Triangles
The requirement on side lengths is that the sum of the short two exceed the longest.
4) 5 + 6 = 11 > 7 . . . . Yes, can form a triangle
__
Unique Triangles
The available congruence theorems are a good starting point for determining if a triangle is unique. If you have side and angle definitions that correspond to AAS, ASA, SAS, SSS, or HL, then the triangle is uniquely determined.
You will notice that SSA is not on this list. However, there are special cases where SSA can be used. If the given angle is opposite the longest given side, then the triangle is uniquely determined. (You will notice that this is the case in an HL triangle, where the given H side is opposite the right angle.)
1) SSA; angle is opposite the short side — triangle is not unique
2) AAA; no side is given — triangle is not unique
3) SAS; — triangle is unique
__
3D SHAPESStep 2: The area is 1/2bh = 1/2(3.5 ft)(5 ft) = 8.75 ft². The area of all triangles together is 6×8.75 ft² = 52.5 ft².
Step 3: TOTAL AREA = 52.5 ft² + 31.5 ft² = 84 ft².
Which point on the number line shows the graph of
Answers
Answer:
the correct answer is point b
Jane and her two friends will rent an apartment for S550 a month, but Jane will pay double what each friend does because she will have her own bedroom.
How much will Jane pay a month?
Answers
Answer:
$275 a month
Step-by-step explanation:
Let x represent how much each friend is paying.
The amount Jane pays can be represented by 2x, since she is paying double than her friends.
Add together these terms and set them equal to 550. Then, solve for x:
x + x + 2x = 550
4x = 550
x = 137.5
So, each friend is paying $137.50. Double this to find how much Jane is paying:
137.5(2)
= 275
So, Jane is paying $275 a month
How would A = L + O be rewritten to solve for O?
Answers
Answer:
A - L = O
Step-by-step explanation:
A = L + O
Subtract L from each side
A-L = L + O - L
A - L = O
The way that the given formula A = L + O can be rewritten to solve for O is; O = A - L
How to change subject of formula?We are given the formula to find A as;
A = L + O
Now, to make O the subject of the formula, let us use subtraction property of equality to subtract L from both sides to get;
A - L = L + O - L
O = A - L
Thus, the way the formula can be rewritten to solve for O is;
O = A - L
Read more about Subject of Formula at; https://brainly.com/question/10643782
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Which of the following is a monomial?
A. 8x^2 +7x+3
B. √x-1
C. 9/x
D. 7x
Answers
Answer:
7x is monomial according to question.
give me a answer, pls
Answers
Answer:
C
Step-by-step explanation:
Set up and evaluate the integral that gives the volume of the solid formed by revolving the region bounded by y=x^8 and y = 256 in the first quadrant about the y-axis.
Answers
Using the shell method, the volume integral would be
[tex]\displaystyle 2\pi \int_0^2 x(256-x^8)\,\mathrm dx[/tex]
That is, each shell has a radius of x (the distance from a given x in the interval [0, 2] to the axis of revolution, x = 0) and a height equal to the difference between the boundary curves y = x ⁸ and y = 256. Each shell contributes an infinitesimal volume of 2π (radius) (height) (thickness), so the total volume of the overall solid would be obtained by integrating over [0, 2].
The volume itself would be
[tex]\displaystyle 2\pi \int_0^2 x(256-x^8)\,\mathrm dx = 2\pi \left(128x^2-\frac1{10}x^{10}\right)\bigg|_{x=0}^{x=2} = \boxed{\frac{4096\pi}5}[/tex]
Using the disk method, the integral for volume would be
[tex]\displaystyle \pi \int_0^{256} \left(\sqrt[8]{y}\right)^2\,\mathrm dy = \pi \int_0^{256} \sqrt[4]{y}\,\mathrm dy[/tex]
where each disk would have a radius of x = ⁸√y (which comes from solving y = x ⁸ for x) and an infinitesimal height, such that each disk contributes an infinitesimal volume of π (radius)² (height). You would end up with the same volume, 4096π/5.
The volume of the solid formed by revolving the region bounded by y=x^8 and y = 256 in the first quadrant about the y-axis is 4096π/5 cubic units.
What is integration?It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
We have a function:
[tex]\rm y = x^8[/tex] or
[tex]x = \sqrt[8]{y}[/tex]
And y = 256
By using the vertical axis of rotation method to evaluate the volume of the solid formed by revolving the region bounded by the curves.
[tex]\rm V = \pi \int\limits^a_b {x^2} \, dy[/tex]
Here a = 256, b = 0, and [tex]x = \sqrt[8]{y}[/tex]
[tex]\rm V = \pi \int\limits^{256}_0 {(\sqrt[8]{y}^2) } \, dy[/tex]
After solving definite integration, we will get:
[tex]\rm V = \pi(\frac{4096}{5} )[/tex] or
[tex]\rm V =\frac{4096}{5}\pi[/tex] cubic unit
Thus, the volume of the solid formed by revolving the region bounded by y=x^8 and y = 256 in the first quadrant about the y-axis is 4096π/5 cubic units.
Learn more about integration here:
brainly.com/question/18125359
Find the area (in square feet) of a rectangle that measures 17" × 3'10".
Answers
Answer:
65 feet and 2 inches
Step-by-step explanation:
to find the area of a rectangle you need to multiply length times width in this case 17" times 3'10". But first you must convert everything into the same form(in this case feet) so first you can convert everything to inches by multiplying 3 times 12 which gives you 36 then add the 10, so it is now 46 inches then multiply that by 17 and altogether it is 782 inches, then divide by 12 (to convert it back to feet) and the answer is 65.1666666667. After you can round and get 65 feet and 2 inches.
40 dogs and parrots in total (dogs + parrots = 40 in total) theres 130 legs, how much dog and parrots are there (need steps)
Answers
Answer: There are 32 dogs and 1 Parrot
Step-by-step explanation: I had a question like this in a math class. What you first do is to recognize that- parrots have 2 legs and dogs have 4. We can do 130/2 = 65 and 130/4= 32.5. Now we know that if there was only one animal, there would be 65 parrots, and 32 dogs- one with half of the legs. Since there is a .5 for the dogs, if we put in one parrot, it would mean that there is exactly 130.
(32 x 4)+(2x1) = 130. There are 32 dogs and 1 Parrot. I hope this answer is ✅ and helps, i just joined the community and this is the first person I answered. Good Luck!!
Answer:
Step-by-step explanation:
To solve this, we need to list some equations. Letting variable d stand for dogs and p stand for parrots, we have:
d+p=40 (The number of dogs plus the number of parrots equals 40)
4d+2p=130 (Each dog has 4 legs and each parrot has 2 legs and they have 130 legs in total)
With this system of equations, we can quickly solve it for d and p.
Subtract:
4d+2p=130
- d+p=40
_________
3d+p=90,
p=90-3d
Substitution:
d+(90-3d)=40
90-2d=40
-2d=-50
d=25
Substitution to get p:
p+25=40
p=15
There you have it! There are 25 dogs and 15 parrots. To check our work,
25+15=40
4(25)+2(15)=100+30=130
I hope this helped! :)
What is the probability of randomly picking a red marble from a bag of 10 green marbles, 10 yellow marbles, and 5 red marbles?
Answers
Answer
20%
Step-by-step explanation:
Last month, a printing company printed $56,000.00 worth of books. This month, they printed $63,000.00 worth of books. What is the percent increase in their printing?
Answers
Explanation:
56000 • x% = 63000
56000 • x/100 = 63000
56000x = 6,300,000
x = 6,300,000/56,000
x = 112.5%
x - 100 = 112.5% - 100% = 12.5%
A bicycle with 24-inch diameter wheels is traveling at 12 mi/h.
What is the exact angular speed of the wheels in rad/min?
Number rad/min:
How many revolutions per minute do the wheels make?
The answer must be rounded to three decimal places by the way.
Answers
9514 1404 393
Answer:
1056.000 radians per minute168.068 revolutions per minuteStep-by-step explanation:
The linear speed 12 mi/h translates to inches per minute as follows:
(12 mi/h) × (5820 ft/mi) × (12 in/ft) ÷ (60 min/h) = 12,672 in/min
The relationship between arc length and angle is ...
s = rθ
For a constant radius, the relationship between linear speed and angular speed is ...
s' = rθ'
θ' = s'/r = (12,672 in/min)/(12 in) = 1056 rad/min
There are 2π radians in one revolution, so this is ...
(1056 rad/min) ÷ (2π rad/rev) = 168.068 rev/min
A company makes cylindrical crackers that have a cylindrical hole in the middle.
The diameter of the entire cracker is 16\text{ mm}16 mm16, start text, space, m, m, end text, the diameter of the hole is 8\text{ mm}8 mm8, start text, space, m, m, end text, and the cracker is 18\text{ mm}18 mm18, start text, space, m, m, end text long.
What is the volume of the material used in each cracker?
Round to the nearest cubic millimeter.
Answers
Answer:
Its 2714
Step-by-step explanation:
Khan Academy
The volume of the material that would be needed for each cylindrical cracker is approximately: 2,714 mm³ mm³.
What is the Volume of a Cylinder?Volume of a cylinder = πr²h
The volume of the material used for each cylindrical cracker = Volume of entire cylindrical cracker - volume of cylindrical hole
Radius of entire cracker (r) = 16/2 = 8 mm
Height (h) = 18 mm
Volume of the entire cracker = π(8²)(18) ≈ 3,619 mm³
Radius of hole (r) = 8/2 = 4 mm
Height (h) = 18 mm
Volume of the entire cracker = π(4²)(18) ≈ 905 mm³
The volume of the material used for each cylindrical cracker = 3,619 - 905 = 2,714 mm³
Learn more about the volume of cylinder on:
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What is the smallest number that has both 6 and 9 as a
factor?
A 54
B 12
C 36
D 18
Answers
Answer:
yep it's D
Step-by-step explanation:
Find the degree 9m^(2)+11m^(2)+2m^(2)
Ill give brainliest!
Answers
Answer:
The degree of this polynomial is 2.
Step-by-step explanation:
The degree of a polynomial is the highest of the degrees of the polynomial's monomials (individual terms) with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer.
The given polynomial is:
[tex]9m^2+11m^2+2m^2[/tex]
The only variable is m.
The power of m in all terms is 2.
So, the degree of this polynomial is 2.
Clayton works 40 hours a week at an hourly rate of $3.10. He averages
$140 weekly in tips. What is his annual income?
a. $264
b. $6,448
c. $7,280
d. $13,728
Answers
Answer:
D
Step-by-step explanation:
( 40 ( 3.10 ) + 140 ) ( 52 weeks ) = 13,728
correct answer gets brainliest!
find two expressions whose difference is 3x + 4
Answers
Answer:
(7x+4) and (4x)
Step-by-step explanation:
The two expressions are (7x+4) and (4x)
look at the image for the question?
Answers
Answer:
396 in ^3
Step-by-step explanation:
The volume of a rectangular prism is
V = l*w*h where l is the length, w is the width, and h is the height
V = 12 * 3 * 11
V = 396 in ^3
increased from 1432 to 2219. Which of the following is the approximate percent of increase
22. Between the years 2000 and 2010, the number of births in the town of Daneville
in the number of births during those ten years?
a. 55%
b. 36%
c. 64%
d. 42%
Answers
9514 1404 393
Answer:
a. 55%
Step-by-step explanation:
The percentage increase is calculated from ...
% increase = (amount of increase)/(original amount) × 100%
= (2219 -1432)/1432 × 100% = 787/1432 × 100% ≈ 54.96%
The number of births increased by about 55% during those 10 years.
Answer:
Step-by-step explanation:
2219-1432/1432 x 100% = 787/1432 x 100 = 54.9581~~ 55%
A uniform 41.0 kg scaffold of length 6.6 m is supported by two light cables, as shown below. A 74.0 kg painter stands 1.0 m from the left end of the scaffold, and his painting equipment is 1.4 m from the right end. If the tension in the left cable is twice that in the right cable, find the tensions in the cables (in N) and the mass of the equipment (in kg). (Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.)
Answers
Step-by-step explanation:
Let
[tex]m_p[/tex] = mass of the painter
[tex]m_s[/tex] = mass of the scaffold
[tex]m_e[/tex] = mass of the equipment
[tex]T[/tex] = tension in the cables
In order for this scaffold to remain in equilibrium, the net force and torque on it must be zero. The net force acting on the scaffold can be written as
[tex]3T = (m_p + m_s + m_e)g\:\:\:\:\:\:\:(1)[/tex]
Set this aside and let's look at the net torque on the scaffold. Assume the counterclockwise direction to be the positive direction for the rotation. The pivot point is chosen so that one of the unknown quantities is eliminated. Let's choose our pivot point to be the location of [tex]m_e[/tex]. The net torque on the scaffold is then
[tex]T(1.4\:\text{m}) + m_sg(1.9\:\text{m}) + m_pg(4.2\:\text{m}) - 2T(5.2\:\text{m}) = 0[/tex]
Solving for T,
[tex]9T = m_sg(1.9\:\text{m}) + m_pg(4.2\:\text{m})[/tex]
or
[tex]T = \frac{1}{9}[m_sg(1.9\:\text{m}) + m_pg(4.2\:\text{m})][/tex]
[tex]\:\:\:\:= 423.3\:\text{N}[/tex]
To solve for the the mass of the equipment [tex]m_e[/tex], use the value for T into Eqn(1):
[tex]m_e = \dfrac{3T - (m_p + m_s)g}{g} = 14.6\:\text{kg}[/tex]
A pool has some initial amount of water in it. Then it starts being filled so the water level rises at a rate of 666 centimeters per minute. After 202020 minutes, the water level is 220220220 centimeters.
Graph the relationship between the pool's water level (in centimeters) and time (in minutes).
Answers
I cant graph it on here but. if your graph goes by 10 then the slope should increase by 666 every minute on the x line
Answer:
The answer is in the screenshot
Step-by-step explanation:
PLEASE GIVE BRAINLIEST
