A skateboarder rides by my office every 9 minutes, and a cyclist rides by every 6 minutes. How long will it take for the skateboarder and cyclist to ride by at the same time?
Answer:
6:00
Step-by-step explanation:
The time taken by the skateboarder and cyclist to ride by at the same time is given by A = 18 minutes
What is HCF and LCM?The Greatest Common Divisor GCF or the Highest Common Factor HCF is the highest number that divides exactly into two or more numbers. It is also expressed as GCF or HCF
Least Common Multiple (LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers
Product of HCF x LCM = product of two numbers
Given data ,
Let the skateboarder rides by the office every 9 minutes
And , a cyclist rides by every 6 minutes
Now , time taken by the skateboarder and cyclist to ride by at the same time be A
where A = LCM of the two numbers
So , the smallest time interval at which both events occur. In other words, we need to find the least common multiple (LCM) of 9 and 6.
Factors of 9 : 9, 18, 27, 36, 45, 54, 63, 72, 81, 90
Factors of 6 : 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
So , common multiple and the LCM is 18
Hence , the time taken is 18 minutes
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Need help with 22 and please gives explanation
Answer:
45 mi/h
Step-by-step explanation:
Here, we can find the total distance divided by the total time. To find the total time, we can set up 2 equations:
[tex]d = vt[/tex] (which is the formula that connects velocity, time and displacement).
Here, we have to split the trip into 2 displacements because the car changes speed. So, we have 40 mi = 40 (mi/h) * t1. And t2 = 1 hour. For the second distance: 20 mi = 60 (mi/h) * t2. And t2 = 1/3 hrs.
since total time = t1+t2, we get the total time is 4/3 hours. Then, we get:
80 = [tex]v_{avg}[/tex]*(4/3) where [tex]v_{avg}[/tex] is the average velocity of the trip. Finally, we get [tex]v_{avg}[/tex] = 45 mi/h
IF f(x) = -3x – 2; FIND f(3)
Your answer
IT fill
TATT
Answer:
f(3) = -3(3) - 2
Step-by-step explanation:
3f = -3 x 3 -2
3f = -9 - 2
3f = -11
f = 3.6 (rounded)
If a zombie sleep for 96436 year but woke up 329 years ago how long did really sleep?
Answer:
96436-329 = 96107
Step-by-step explanation:
HELP. What are the coordinates of -2.5, 2.5 when rotated 180 degrees
cómo se resuelve?
a) 3X+Y=16
5X-Y=24
b) 5X+4Y=35
2X+2Y=16
c) X+Y =21
3X+7Y=107
Rewrite the equation by completing the square.
X^2+8x+12=0
Answer:
(x + 4)² - 4 = 0
Step-by-step explanation:
Given
x² + 8x + 12 = 0
To complete the square
add/ subtract ( half the coefficient of the x- term )² to x² + 8x
x² + 2(4)x + 16 - 16 + 12 = 0
(x + 4)² - 4 = 0
Help me solve this problem please
Answer:
x=-10
Step-by-step explanation:
15-2(x+5)=25
multiply the 2 by the x and 5 and you get
15-2x-10=25
since the 15 and the negative 10 are on the same side you add them together and get
5 -2x= 25
-5 -5
-2x =20
Then divide the -2/20= -10
Answer:
x = -10
Explanation:
15 - 2 ( x + 5 ) = 25
Distribute 2 through the parentheses
15 - 2x - 10 = 25
Subtract the numbers
5 - 2x = 25
Move constant to the right-hand side and change its sign
-2x = 25 - 5
Subtract the numbers
-2x = 20
Subtract both sides
x = -10
Micheal had 1000 viruses on his phone and he got rid of 99 how much viruses does he have to get rid of? and your welcome for the points :D
901
ILY EPICFARTS2021 THANKS FOR ALL THE POINTS
what is the answer? -3/4-1 3/8
Answer:
[tex]\frac{-19}{8}[/tex]
Step-by-step explanation:
[tex]\frac{-3}{4}-\frac{13}{8}[/tex]
[tex]-\frac{3}{2^2}-\frac{13}{2^3}[/tex]
[tex]\frac{2(-3)+(-13)}{2^3}=\frac{-19}{8}[/tex]
hope it helps u
Find an expression which represents the difference when (10x-6y)(10x−6y) is subtracted from (7x-4y) in simplest terms.
Answer:-3x+2y
Step-by-step explanation:
What is the equation of a line through point (0,5) that is parallel to the line with equation y= x -7
Answer:
y=x+5
Step-by-step explanation:
Lines are parallel if they have the same slope, the Y-intercept does not matter. Since these line passes through point (0,5) it's y-intercept has to be 5 and It's still parallel with line y=x-7.
A hiker started the day at an elevation of 800 feet. He climbed 200 feet in elevation to his first rest stop, hiked down 400 feet in elevation to his second rest stop, and climbed 500 feet in elevation to his third rest stop. What is the average elevation of his three rest stops
Answer:
The average elevation of his three rest stop is 900 ft
Step-by-step explanation:
The elevation at which the hiker started = 800 feet
The extra height to which he climbed on his first rest stop = 200 feet
The height down which he climbed to his second rest stop = 400 feet
The height to which he then climbed to his third rest stop = 500 ft
Given that the hiker started at 800 ft, we have;
His height at his first rest stop = 800 + 200 = 1,000 ft
His height at his second rest stop = 1000 - 400 = 600 ft
His height at his third rest stop = 600 + 500 = 1,100 ft
Therefore, the average elevation, hₐ, of his three rest stop is given as follows;
hₐ = (The sum of the three elevation)/(The number of elevation)
hₐ = (1,000 ft + 600 ft + 1,100 ft)/(3) = (2700 ft)/3 = 900 ft
The average elevation of his three rest stop = 900 ft.
The fifth term of a non-linear sequence is 9.
The term-to-term rule is divide by 3'.
Work out the second term of the sequence.
Answer:
a₂ = 243
Step-by-step explanation:
The term to term rule from left to right in the sequence is divide by 3
The term to term rule from right to left is the opposite, multiply by 3
Given
a₅ = 9, then
a₄ = 9 × 3 = 27
a₃ = 27 × 3 = 81
a₂ = 81 × 3 = 243 ← required term
need help with solving equations
Answer:
1) -2
2) 6
3) -9
Step-by-step explanation:
1)2/5(x+7)=2(x+3)
2/5x+2.8=2x+6
2/5x=2x+3.2
-1.6x=3.2
x=-2
2)2x+6=2/3x+14
2x=2/3x+8
1 1/3x=8
x=6
3)40+2x=6-8x-56
40+2x=-8x-50
90+2x=-8x
90=-10x
x=-9
You are baking a casserole. The recipe calls for of a cup of beans to
make 5 servings. How many cups of beans would you need to make 25
servings?
The distance between point A(2,3) and point B(6,1) is ?
Answer:
[tex]2 \sqrt{5} [/tex]
decimal form: 4.47213595
Answer: 395 km
lol they want it to be 200 characters long what I look like ? Lol
What is the equation of the line that passes through the point (3, -5) and has a
slope of 2/3?
In cross country, the team score is determined by the place each individual runner finishes. (For example, 1st place is one point, 16th place is 16 points, etc.) In their latest meet, the boys cross-country team scored 55 points. If there were five runners on the team and each runner finished one after another, what places did they come on? Explain your reasoning and support your answer. *
Answer:
Kindly check explanation
Step-by-step explanation:
Given that there were five rummers in the team;
Each runner finished one after the other
Total. Points scored =. 55
Let the positions of each runner be :
1sr runner = p
2nd runner =.p + 1
3rd runner =.p + 2
4th runner =.p + 3
5th runner =.p + 4
(1st + 2nd + 3rd + 4th +. 5th) runner = 55
(p + p + 1 + p + 2 + p + 3 + p + 4) = 55
5p + 10 = 55
5p = 55 - 10
5p = 45
p = 9
Hence,
1st runner = 9th
2nd runner = 9 + 1 = 10th
3rd runner = 9 + 2 = 11th
4th runner = 9 + 3 = 12th
5th runner = 9+ 4 = 13th
Write the sentence as an inequality. A number x is less than 7 and greater than 3
The inequality as per the given statement will be equal to 3 < x < 7.
What is inequality?Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.
As per the information in the question,
Let the number is x.
x is less than 7.
x < 7 and,
x is greater than 3,
So, x > 3
So, it can be written in combined form as:
3 < x < 7
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Jose takes 120 minutes to weed 6 equal rows of vegetable plants in his garden. What is his unit rate
per hour for weeding these rows of his garden?
The unit rate is
rows per hour or
1.
Answer:
3 rows/hour
Step-by-step explanation:
It is given that, Jose takes 120 minutes to weed 6 equal rows of vegetable plants in his garden.
120 minutes = 2 hours
We need to find the unit rate per hour for weeding these rows of his garden. It can be calculated as follows :
[tex]R=\dfrac{6}{2}\\\\R=3\ \text{rows/hour}[/tex]
So, the rate for weeding these rows of his garden is 3 rows per hour.
Explain why the graph of the quadratic function ()=2++5 crosses the y-axis by does not cross the x-axis
Answer:
The graph of a quadratic function is a parabola, and its parts provide valuable information about the function.
Step-by-step explanation:
You want to buy a guitar that costs $425, but today there is a sale of 30% off. What is
the sale price of the guitar you want to buy? Would it be a mark up or a mark down and how do you know?
Answer:
297.50
Step-by-step explanation:
This would be considered a markdown because the guitar is on sale.
Find the value of x.
X
(x-58)
Answer:
119 degree
Step-by-step explanation:
The both x and x-58 are coincident to each other so they have sum of 180 degree.
So,
x + x-58 = 180
2x= 180+58
x= (180+58)/2
x= 119
Answer:
As you should know, the sum of angles of any triangle is 180º, as a quadrilater is two times a triangle, the sum of its angles is 360º
So we know the sum of its angles is 180º and we know there are two angles of 90º, one indicated with a square.
The other two angles measuer x and x - 58, and, if we know that they sum 360, we can do an equation.
90 + 90 + x + (x - 58) = 360
122 + 2x = 360
2x = 360 - 122
2x = 238
x = [tex]238/2[/tex]
x = [tex]119[/tex]
Sowe know one angle measueres 119º and the other 61º
how many inches are in a 20 foot rope
Answer:240 inches
Step-by-step explanation:
Answer:
240 in.
Step-by-step explanation:
1 foot is equal to 12 inches. Being that there are 20 feet you would multiply 20 by 12 and get 240.
which three points in the figure are collinear?
Answer:
A, D, and E
Step-by-step explanation:
A, D, and E all fall on the same line, therefore, they are all collinear.
disregard question..............................................................................................................................
Answer:
whats the question.
Step-by-step explanation:
let me know
Which situations accurately describe a ratio of ? Select all that apply.
Sally found five green fruit loops in her cereal bowl, out of every thirteen pieces.
Tobias picked five daisies and eight roses.
Aly painted eight trees for every three birds.
For every eight shots, Micah made five baskets.
Please help :/
If the ratio is 5/8, or 8/5
Tobias picked five daisies and eight roses.
For every eight shots, Micah made five baskets.
If the ratio is 5/13, or 13/5
Sally found five green fruit loops in her cereal bowl, out of every thirteen pieces.
If the ratio is 8/3, or 3/8
Aly painted eight trees for every three birds.
what is 87 divided by 15 with remainder
\
Answer:
5.8
Step-by-step explanation:
87/15 = 5.8
Find the value of y. images attached.
Answer:
The answer is option DStep-by-step explanation:
Since it's a right angled triangle we can use trigonometric ratios to find the value of y
To find the value of y we use tan
[tex] \tan(28) = \frac{y}{35} \\ y = 35 \tan(28) \\ y = 18.6098301...[/tex]
We have the final answer as
18.61Hope this is helps you