what’s is value of X
Answer:
3
Step-by-step explanation:
The width of a rectangle is 61 centimeters more than the length. The perimeter is 406 centimeters. Find the length and the width.
So with the given information, I make the length equal x and the width equals x+61. Remember a rectangle has two pairs of equal sides.
So then the equation is 4x+122=406
Do systems and you will find that x equals 71.
The length is 71cm
The width is 71+61=132cm
^O^ HELP PLZZZZ 10P due today !!! Ty
~O~
Jim began a 145mile bicycle trip to build up stamina for a triathlon competition. Unfortunately, his bicycle chain broke, so he finished the trip walking. The whole trip took 7 hours. If Jim walks at a rate of 4 miles per hour and rides at 30 miles per hour, find the amount of time he spent on the bicycle.
The amount of time he spent on bicycle is 4.5 hours.
Given Jim began a 145 mile bicycle trip.
The whole trip took 7 hours.
Jim walks at a rate of 4 miles per hour and rides at 30 miles per hour.
speed = distance / time
time = distance / speed
ride:
d = distance ridden
t = d/30 (given from the problem)
walk:
t = (145 - d)/4 (given from problem)
total trip time:
7 = d/30 + (145 - d)/4.
7 = 4d/120 + 30(145 - d)/120
7×120 = 4d + 30(145 - d)
840= 4d +4350-30d
840 ₋ 4350 = ₋30d ₊ 4d
₋3510 = ₋26d
d = 3510/26
d = 135
d=135 then from here using the formula t = d / s we can solve
t=135/30 = 4.5 hours
hence the amount of time Jim spent on the bicycle is 4.5 hours.
Learn more about Speed, time and distance here:
https://brainly.com/question/17146782
#SPJ9
What is the meaning of "A group G whose order is a prime number has only two subgroups, G itself and 1 = {1}"?
If G is not a cyclic group, then it does not have a subgroup of order p. Conversely, if G is cyclic, then it has a unique subgroup of order p.
The statement "A group G whose order is a prime number has only two subgroups, G itself and 1 = {1}" means that if G is a group with a prime number of elements, then the only subgroups of G are the trivial subgroup {1} and the group G itself.
In other words, there are no other proper subgroups of G besides these two.
The statement "A group G whose order is (p-1) where p is a prime number has a subgroup of order p if and only if G is cyclic" means that if G is a group with (p-1) elements, where p is a prime number, then G has a subgroup of order p if and only if G is a cyclic group.
In other words, if G is not a cyclic group, then it does not have a subgroup of order p. Conversely, if G is cyclic, then it has a unique subgroup of order p.
for such more question on prime number
https://brainly.com/question/18187355
#SPJ11
A dog rolls over 25 times in 2 minutes. How many times can the dog roll over in 6 minutes
Answer:
75
Step-by-step explanation:
Count By Two's
25=2 minutes
50=4 minutes
75=6 minutes
Solve the missing elements for each problem. Use 3.14 for π. Area π r² ; C = π D
1. Radius = 32/2 = 16 inches
Diameter = 32 inches
Circumference = 3.14 × 32 = 100.48 inches
Area = 3.14 × 256 = 803.84 inches
2. Radius :- 40 / 2 = 20 inches
Diameter = 40 inches
Circumference = 3.14 × 40 = 125.6 inches
Area = 3.14 × 20 × 20 = 1256 inches
3. Radius = 28 / 2 = 14 inches
Diameter = 28 inches
Circumference = 3.14 × 28 = 87.92 inches
Area = 3.14 × 14 × 14 = 615.44 inches
4. Radius = 18/2 = 9 inches
Diameter = 18 inches
Circumference = 3.14 × 18 = 56.52 inches
Area = 3.14 × 9 × 9 = 254.34 inches
5. Radius = 5 inches
Diameter = 5 × 2 = 10 inches
Circumference = 3.14 × 10 = 31.4 inches
Area = 3.14 × 5 × 5 = 78.5 inches
6. Radius = 2 inches
Diameter = 2 × 2 = 4 inches
Circumference = 3.14 × 4 = 12.56 inches
Area = 3.14 × 2 × 2 = 12.56 inches
–––––––––☆–––––––––Answer: Solve the missing elements for each problem. Use 3.14 for π. Area π r² ; C = π D
Step-by-step explanation:
1. Radius = 32/2 = 16 inches
Diameter = 32 inches
Circumference = 3.14 × 32 = 100.48 inches
Area = 3.14 × 256 = 803.84 inches
2. Radius :- 40 / 2 = 20 inches
Diameter = 40 inches
Circumference = 3.14 × 40 = 125.6 inches
Area = 3.14 × 20 × 20 = 1256 inches
3. Radius = 28 / 2 = 14 inches
Diameter = 28 inches
Circumference = 3.14 × 28 = 87.92 inches
Area = 3.14 × 14 × 14 = 615.44 inches
4. Radius = 18/2 = 9 inches
Diameter = 18 inches
Circumference = 3.14 × 18 = 56.52 inches
Area = 3.14 × 9 × 9 = 254.34 inches
5. Radius = 5 inches
Diameter = 5 × 2 = 10 inches
Circumference = 3.14 × 10 = 31.4 inches
Area = 3.14 × 5 × 5 = 78.5 inches
6. Radius = 2 inches
Diameter = 2 × 2 = 4 inches
Circumference = 3.14 × 4 = 12.56 inches
Area = 3.14 × 2 × 2 = 12.56 inches
–––––––––☆–––––––––
I can type 100 words per 120 seconds. How many words can i type in 7 minutes.
Answer: 700 ? Because it depends on speed or not
Step-by-step explanation:
You took one-third of an hour to walk home. How many minutes did you walk?
(Hint: An hour has 60 minutes.)
minutes
Answer:
20 minutes
Step-by-step explanation:
60÷3=20
Step 1 you divide 60 minutes by 1/3 which is gonna give you 20 mins
20 min
Solution:We know that an hour has 60 minutes.In order to find one-third of a hour, we should divide 60 by 3:60÷3=20 min.So if you took one-third of an hour to walk home, you walked for 20 minutes.Hope it helps.
Do comment if you have any query.
Brett has a $30 online gift voucher he plans to buy as many books as he can the cost of each book is $4 there is also a single shipping charge of $2 how many books can he afford without spending more than his gife voucher your account
Brett cannot spend more than $30, so the cost of the books and the shipping charge have to be less or equal to $30, we can express this as in an inequality, like this:
\(4n+2\leq30\)Where n is the number of books purchased, since each book costs $4, 4 times n equals the total cost of the books and 2 is the shipping charge. We can solve for n in the inequality like this:
\(\begin{gathered} 4n+2\leq30 \\ 4n+2-2\leq30-2 \\ 4n\leq28 \\ \frac{4n}{4}\leq\frac{28}{4} \\ n\leq7 \end{gathered}\)Then, brett can afford no more than 7 books.
Use the drawing tools to form the correct answer on the graph. What is the inverse of the function shown? (4,-2)
well, keeping in mind that to draw a line all we need is two points, now, the one drawn already has many points let's pick two off of it, hmmm (-1,4) and (-6,-2).
Now, let's recall that for inverse functions, the domain of the original is the range of the inverse and the range of the original is the domain of the inverse, what does that mean? heheh, well, it simple means that for any point on the original that is say (a , b), the inverse will have a point at the flipped version of it of (b , a). So if the orginal has the points aforementioned above, then the inverse will surely have the points of (4 , -1) and (-2 , -6), and we can just draw a line through those. Check the picture below.
The bell on the clock tower rings every 15 minutes. If the bell has rung 24 times, how many minutes have passed?
Amber chose A. How did she get that answer?
A dog sleep from 10:36 PM to 3:36 AM.How long did the dog sleep?
Answer:
5 hours.
Step-by-step explanation:
Note that the clock "restarts" at 12, and flips from PM to AM (and vice versa).
In this case:
1st hour: 10:36 - 11:36pm
2nd hour: 11:36pm - 12:36am
3rd hour: 12:36am - 1:36am
4th hour: 1:36am - 2:36am
5th hour: 2:36am - 3:36am
~
Answer:
5 hoursStep-by-step explanation:
10:36- 11:00=24 min
11:00-3:00= 4 h
3:00-3:36=36 min
add them up
=
5h
Skylar went shopping for a new video game. To find the total plus tax, she multiplied the price of the video game by 1.0775. What percent tax did she pay?
Answer:A topic sentence is used to bring
to a paragraph.
Step-by-step explanation:
A topic sentence is used to bring
to a paragraph.
A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
Read more about tangent lines at
https://brainly.com/question/21595470
#SPJ1
Write answer in simplest form
it is due today!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
The value of 5/9x - 2/3y + xy when x = 3/5 and y = 1/2 is 3/10
We need to evaluate the expression
5/9x - 2/3y + xy
x = 3/5 and y = 1/2
(5/9)(3/5) - (2/3)(1/2) + (3/5)(1/2)
(15/45) - (2/6) + (3/10)
1/3 - 1/3 + 3/10
= 3/10
Therefore, the value of 5/9x - 2/3y + xy when x = 3/5 and y = 1/2 is 3/10
To learn more about fraction refer here
https://brainly.com/question/78672
#SPJ1
Julene collects eggs on her farm every morning. She puts the eggs in cartons that hold 12 eggs each. On Monday, she colllected 29 eggs. How many more eggs does she need to complete her last carton?
Answer:
29 / 12 = 2 box with 5 eggs left
She needs 7 more eggs to fill the 3rd cartonStep-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-Answer:
24
Step-by-step explanation:
Shen the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were clients who did Plan A and who did Plan B. On Thursday there were clients who did Plan A and who did Plan B. Shen trained his Wednesday clients for a total of hours and his Thursday clients for a total of hours. How long does each of the workout plans last?
The length of time that it will take for each of the workout sessions would be: Plan A = 1.5 hours, and Plan B = 0.5 hours.
What would be the length of the sessions?The length of the sessions can be obtained by first obtaining drawing a system of equations for the two cases. On Wednesday, we can represent the sessions as follows:
2A + 12B = 9 hours
On Thursday, we would have
5A + 3B = 9 hours
2A + 12B = 9 Eqn 1
5A + 3B = 9 Eqn 2
Multiply equation 2 by -4
2A + 12B = 9
-20A - 12B = -36
2A - 20A = 9 -36
-18A = -27
Divide both sides by -18
A = 1.5 hours
For B, substitute A in the first equation
2(1.5) + 12B = 9
3 + 12B = 9
12B = 9 - 3
12B = 6
Divide both sides by 12
B = 0.5
Learn more about simultaneous equations here:
https://brainly.com/question/148035
#SPJ1
Complete Question:
Ann the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were 2 clients who did Plan A and 12 who did Plan B. On Thursday there were 5 clients who did Plan A and 3 who did Plan B. Ann trained her Wednesday clients for a total of 9 hours and her Thursday clients for a total of 9 hours. How long does each of the workout plans last?
solve for d
4/5/d=2/15/1/3
Answer:
d = 1/18
Step-by-step explanation:
What is the midpoint for CD given the coordinates C (-4,8) and D (8,-4).
A. (0,0)
B. (2,2)
C. (4,4)
D. (6,6)
Help anyone please ?!!!
Answer: (B) 20 pounds
Step-by-step explanation:
Because a single cantaloupe weighs 3.8 lbs, we can not assume that all will weigh this much.
We should round to the nearest whole number to find the closest approximation. 3.8 pounds rounded to the nearest whole is 4 pounds.
(4 Pounds)(5 cantaloupes) = 20 pounds
Please help!!!!
Find the surface area of the composite figure below to
the nearest tenth.
Answer:
16801.2cm²
Step-by-step explanation:
Cone :
SA = πrl
SA = π · 28 · 45 90-45 = 45
SA = 3958.406744
Cylinder :
SA = 2 · π · r · ( r+h)
SA = 2 · π · 28 ( 28 +45 )
SA = 2 · π · 28 (73)
SA = 12842.83077
12842.83077 + 3958.406744 =
16801.2cm²
The ratio of the lengths of the sides of â–³ABC is 3:4:6. The perimeter of the triangle whose vertices are the midpoints of the sides of â–³ABC is 13 cm. What are the lengths of the sides of â–³ABC?
The length of the sides of triangle ABC are: 6, 8, and 12.
One of the conditions that two triangles are similar is their Three pairs of corresponding sides are proportional.
In the given problem, the ratio of the sides of triangle ABC is 3 : 4 : 6
Another triangle, let's say triangle DEF, is made with its vertices at midpoints of the sides of triangle ABC.
Hence, all three pairs of corresponding sides have the same proportion.
AB/DE = BC/EF = AC/DF = 1/2
Due to similarity, the ratio of the sides of triangle DEF is also 3 : 4 : 6.
ratio f sides : perimeter = 3 : 4 : 6 : 13
Since its perimeter is 13, it means that the length of sides of triangle DEF are: 3, 4, and 6
Length of the sides of triangle ABC = 2 x length of the sides of Δ DEF
Length of the sides of triangle ABC are: 6, 8, and 12.
Learn more about triangle similarity here:
https://brainly.com/question/27996834
#SPJ4
Solve for x.
please help me i seriously do not know what I'm doing.
The value of x in this equation is found to be 8±4√7.
What is Pythagoras theorem?
The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC2 = AB2 + AC2 in the triangle ABC signifies this. Base AB, height AC, and hypotenuse BC are all used in this equation. The longest side of a right-angled triangle is its hypotenuse, it should be emphasized.
Here given in the question that one side of the wall 5 feet
So as it is a rectangular bedroom it can be split into 2 right-angled triangles.
So the hypotenuse of the triangle is 13 feet
Now using the Pythagoras theorem we can find out the length of the other wall
b²=h²-p²
(x-4)²+(x+6)² = (x+10)²
x²+16-8x+x²+36+12x = x²+100+20x
x²-16x-48=0
x= 8±4√7.
Hence The value of x in this equation is found to be 8±4√7.
Learn more about Pythagoras theorem, by the following link
https://brainly.com/question/231802
#SPJ1
Karen purchased a DVD player on sale. The original selling price was $171.50. The sale price was $145.22. What is the first step in finding the percent markdown? Find the percent markdown.
Answer:
15% off
Step-by-step explanation:
Answer:
i need help go to my question from this brainly.com/question/25995862
Step-by-step explanation:
10. Flora rented a space at the flea market.
Her space included electricity.
Booth Space
each day:$25
Electricity:$2
Which expression gives the total cost of
the day's rental if she used h hours of
electricity?
A. 25-2h
B. 25 + 2h
C.(25+2) x h
D. 25h+2
Answer:
It is D
Step-by-step explanation:
I am not exactly sure how to explain but i'll try.
The 2 dollars is added to her price, so it is not A.
The 25 dollars is every day, so it is mutlipled by x. So its not B.
The 2 dollars is not everyday like the 25 dollars, so its not C b/c its not everyday.
Define associative property
Answer:
the way in which factors are grouped in a multiplication problem does not change the product.
Step-by-step explanation:
Need help and answer
The kind of evidence geologists use to make geological timelines of events in Earth's history is the fossil remains.
What is a geological timeline?A geological timeline shows a calendar of events in Earth's history.
To develop geological timelines, scientists understudy physical objects or structures on the Earth. These objects or structures enable them to prove a phenomenon of interest.
Generally, the best form of evidence for the study of the history of life on earth is fossils, as they give clues about geological events and past climates, including the ages of rocks.
Other kinds of evidence for developing geological timelines include the following:
Soil patternsRock kindsGlacier shapesLand structures.Thus, fossils provide the best kind of evidence for geological timelines.
Learn more about geological timelines and fossils at https://brainly.com/question/24584907.
#SPJ1
A professional volleyball
team won 28 games and
lost 22. What percent of
their games did they lose?
What fraction represents the
number of games they won?
Answer: Lost 44%, Games won: 28/50
Step-by-step explanation:
Percentage = (part / whole) * 100
The total number of games the team played is 28 + 22, which equals 50.
Percentage of losses = (22/50) * 100 = 44%
Fraction of wins = 28/50