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Related Questions
A bus travels at a constant speed from point A to point B, which are 600 km apart. Some time later, a motorcyclist begins the trip from A to B, traveling at 100 km/h. The motorcyclist overtakes the bus at 150 km from A, and continues on to point B. The motorcyclist arrives at B, rests for 1 hour, and begins the return trip to A, crossing paths with the bus. When the bus arrives at B, the motorcyclist is 200 km from B. How far from B did the motorcycle and bus meet the second time?
Answers
Step-by-step explanation:
the motorcyclist starts x hours after the bus.
it takes the motorcyclist 1.5 hours to meet the bus the first time, 6 hours to reach B, rest 1 hour and go another 2 hours before the bus arrives at B.
so, the bus needs
x + 9 hours to reach B.
x + 1.5 hours for 150 km (for the first meeting with the motorcyclist).
the speed of the bus is 600/(x + 9) km/h or 150/(x + 1.5) km/h.
so,
600/(x + 9) = 150/(x + 1.5)
4/(x + 9) = 1/(x + 1.5)
4(x + 1.5)/(x + 9) = 1
4(x + 1.5) = x + 9
4x + 6 = x + 9
3x + 6 = 9
3x = 3
x = 1
the motorcyclist starts 1 hour after the bus.
the speed of the bus is
600/(x + 9) = 600/(1 + 9) = 600/10 = 60 km/h
when the motorcyclist is starting its return trip, he is 7 hours after his start, and the bus is 7+x = 7+1 = 8 hours after its start, that means at
8×60 = 480 km of its total trip of 600 km.
120 km are still left for the bus to go.
from that point on both travel the same time y going with their speeds until they meet the second time.
the motorcyclist travels 100y km building up distance from B, while the bus travels 60y km reducing the 120 km distance from B.
when they meet the second time, the distance from B for the motorcyclist is the same as the remaining distance for the bus.
so,
100y = 120 - 60y
160y = 120
y = 120/160 = 3/4 = 0.75 hours
so, they meet at
100 × 0.75 = 75 km from B.
identify the slope and y-intercept of the function y = -2x+4
Answers
Answer:
Slope = -2
y-intercept = (0, 4)
Step-by-step explanation:
The equation is written in slope-intercept form, y = mx + b, where "m = slope" and "b = y-intercept". Thus, we have to identify what part of the equation is part of each element in slope-intercept form:
Slope-intercept form
y = mx + b
Equation:
y = -2x + 4
m = -2
b = 4
Thus, the slope is -2 and the y-intercept is (0, 4)
Consider the numbers 13, 16, 27, and 41. a. Which of these numbers are a prime? How do you know? b. Which of these numbers are composite. How do you know? (NEED AN ANSWER ASAP!)
Answers
The composite numbers are 16 and 27 because 16 has more than two factors and 27 has also has more than two factors. Hope this helps have a good day!
In what ways was Brian struggling for survival in the first two chapters (both physically and emotionally)? Use RACE to respond. Book is HATCHET.
Answers
Answer:he used the hatchet by making a fire
Step-by-step explanation:
1. A straight fence is constructed from posts 6 inches wide and separated by lengths of chain 5 feet long. A certain fence begins and ends with a post. If there are 7 posts, what is the total length of the fence?
Answers
Answer:
72
Step-by-step explanation:
First, we will multiply the number of posts (7) by the posts' width (6) to get 42.
Since there is a chain between each post, there are 6 chains.
Multiplying the number of chains (6) by the chains' length (5), we get 30.
The question asks us to find the total length of the fence, so we add 42 and 30 and get 72.
Hope this helps!
another math question because i do not understand math at all
Answers
Answer:
8/15
Step-by-step explanation:
There is absolute value, so the a and b become positives.
But there is a negative on the outside, meaning - (a+b)
So:
-1 2/3 - 1
______
2 - (-3)
Then..
-2 2/3
______
5
You can convert each number to a complete fraction and use keep change flip.
2 2/3 = 8/3 and 5 = 15/3
8/3 divided by 15/3 is..
8 x 3
_. _
3. 15
You can cancel out the 3's and then multiple 8/1 x 1/15
That equals 8/15, since you can't simplify it anymore.
4/5% of 30: Estimate
Answers
Answer:0.24
Step-by-step explanation:
Answer:
0.24
Step-by-step explanation:
⅘% of 30
⅘ = 0.8
0.8% of 30
eg: 0.8 = x 30 = y
[tex]\frac{x*y}{100}[/tex] (this is the formula for calculating the percentage of a number)
[tex]\frac{0.8*30}{100}[/tex] = 0.24
Sam’s Soups is open 6 days a week, 76 hours in all. Its hours are the same every day, except on Saturday and Sunday. On those days, it is open 2 hours longer. How long is Sam’s Soups open on Sunday? Use an equation to solve.
Answers
Answer:
Step-by-step explanation: try 14
A chef made 150 cups of chili and sold 60% of it. A serving size of the chili is 1 2/3 cups. How many servings of the chili were sold.
(Unit: expressions & equations)
Answers
150× 60% ÷ 1⅔
150×60/100 ÷ 5/3
15 × 6 ×3/5
3 × 18
54
54 servings of the chili were sold.
The number of cups of chili that he sold will be will be 90 cups. Then the number of servings of the chili sold will be 54.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
A chef made 150 cups of chili and sold 60% of it. Then the number of cups of chili that he sold will be calculated as,
⇒ 60% of 150
⇒ 0.60 x 150
⇒ 90 cups
The serving size of the chili is 1 ²/₃ cups.
Convert the mixed fraction number into a fraction number, then we have
1 ²/₃ cups = 1 + 2/3
1 ²/₃ cups = 5/3 cups
Then the number of servings of the chili sold will be calculated as,
⇒ 90 / (5/3)
⇒ 90 x (3 / 5)
⇒ 18 x 3
⇒ 54
The number of cups of chili that he sold will be will be 90 cups. Then the number of servings of the chili sold will be 54.
More about the percentage link is given below.
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Write a situation that matches the diagram, or make a diagram that matches the situation.
Use the picture I posted and draw/write (clearly) the correct answer.
Thank you! This needs to be done by today and quick.
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so uh...which picture?
At a school cafeteria, a staff person surveyed the food preferences of 35 students. For every five students, two said they liked liked heathy food. How many students preferred heathy foods.
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Answer: 14 students.
Step-by-step explanation:
Heloo need help on mathe ples
Answers
Answer:
add all the sides
Step-by-step explanation:
the first shape's area is 3.8 x 4 = 15.2
the second is 13.05 x 3.6 = 46.98
since originally it's one shape, add them together. the area is 62.18 ft^2.
Jess lists four factor pairs of 72 and as 2 x 36, 4 x 18, 6 x 12 and 8 x 9. Which factor is a prime number? ( I NEED AN ANSWER ASAP!)
Answers
Geometry
Answer with a proper explanation
Answers
Answer:
15 sides
Step-by-step explanation:
As we know the full angles of a polygon is 360°
And
Each side has angle 24°
So,
n = 360/24
n = 15 sides
I hope my answer helps you.
The polygon has 5 sides.
Step-by-step explanation:
Given in the diagram, the angle between the ends of each side is given i.e. 24degrees between ends of a side from the centre. Or it can also be said that each side of the polygon subtends an angle at the centre 'O' i.e. each 24*.
=> We know that sum of angles around a point = 360*, so sum of angles around centre = 360*
And 24* in the centre subtends a side of the polygon;
Using the logic - no. of sides = 360*/24* = 15 = 15 sides
Which net represents the three-dimensional figure shown on the right? Will give brainliest!
Answers
Answer:
Looks like the top left
Answer:
It's the 1st one from the left!
Step-by-step explanation:
Put an Actual reasonable answer for the question please.
Answers
Answer:
D (Alicia did 5 more jumping jacks per minute than Melissa.)
Step-by-step explanation:
Alicia's rate is 30 jumping jacks per minute. You can use the formula m=(y2-y1)/(x2-x1) to find the slope/rate. The two points in the table you can use are (1,30) and (2,60). You can plug those coordinates into the slope formula. (60-30)/(2-1)=30/1= 30 jumping jacks per minute. To find the rate of change/slope for Melissa, you can use the same formula m=(y2-y1)/(x2-x1). The two points you could plug in are (0,0), and (4,100). (100-0)/(4-0)=100/4=25. Melissa does 25 jumping jacks per minute.
please help me to answer this (has to do with least common factors and stuff like that)
Answers
Answer:
Large gear: 2 revolutions, 24 teeth
Small gear: 3 revolutions, 24 teeth
Step-by-step explanation:
You want the number of teeth that have touched when a 12-tooth gear and an 8-tooth gear turn until they have the same relative position as when they started.
Least common multipleThe least common multiple (LCM) of 8 and 12 is the smallest integer that is a positive integer multiple of both these numbers. That value is ...
24 = 8·3 = 12·2
It is often found quickly by making use of your knowledge of multiplication tables.
How to find itThe LCM can be found by looking at the unique factors of the numbers, taking each to the highest of the powers:
8 = 2³
12 = 2² × 3
Among the factors 2 and 3, the highest powers are 2³ and 3¹, so ...
2³ × 3¹ = 24
is the LCM.
The LCM is also the product of the numbers, divided by their greatest common factor (GCF):
LCM(8, 12) = 8·12/4 = 24
__
Additional comment
The problem statement is telling you to look for the same number in the two right columns of the table. That number is 24. It goes in the blanks at the bottom.
Help again plessssssssss
Answers
Answer:
Step-by-step explanation:
20 + 30 + 30 then 792 + 260 get your answer for both and add the answers together
Answer:
Step-by-step explanation:
the answer is 23.4 ?
pleace is math of 8th
Answers
Answer:
x = 8
Step-by-step explanation:
1/2 x - 2x = -5 -7
(1-4)/2 x = -12
-3/2 x = -12
3/2 x = 12
x = 12 · 2/3
x = 4 · 2
x = 8
Geometry
Answer with a proper explanation
Answers
Answer:
We know that nonagon have total of 1 260 angles.
1 260 = 8x + 4x
1 260 = 12x
x = 105
Therefore, the value of x is 105.
8 angles have 105 degrees and the other one is 420.
Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-Sam’s Soups is open 6 days a week, 76 hours in all. Its hours are the same every day, except on Saturday and Sunday. On those days, it is open 2 hours longer. How long is Sam’s Soups open on Sunday? Use an equation to solve.
Answers
The number of hours that Sam’s Soups is open on Sunday will be 14 hours.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Sam's Soups is open 6 days per week, 76 hours altogether. Its hours are similar consistently, besides on Saturday and Sunday. On those days, it is open 2 hours longer.
Let 'x' be the number of hours spent on Saturday and Sunday. Then the equation is given as,
x + x + (x - 2) + (x - 2) + (x - 2) + (x - 2) = 76
Simplify the equation, then we have
6x - 8 = 76
6x = 84
x = 14 horus
The number of hours that Sam’s Soups is open on Sunday will be 14 hours.
More about the solution of the equation link is given below.
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Prentice Hall Mathematics Course 1 Chapter 2 page. 77
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a. COOKING Q: The largest pan of lasagna weighed 3477 pounds. The length of the pan was ten times its width. Write an algebraic expression for the length of the pan of lasagna in terms of its width W.
b. The lasagna measured 7 feet wide. Evaluate the expression to find the length of the pan of lasagna
----------------------------------------------------------------------------------
Please answer this question quick!!
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Answer:
sorry I have no clue I don't like mathe either the half of the reason I can't answer it
The expression of length in terms of width is L = 10W and the length of the pan when the width is 7 feet will be 70 feet.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
Suppose, the length and width of the pan are L and W corresponding.
As per the given,
(a)
The length of the pan was ten times its width.
L = 10W
The above expression is the length of the pan in terms of width.
(b)
The lasagna measured 7 feet wide.
L = 10 x 7 = 70 feet
Hence "According to the formula L = 10W, the length of the pan will be 70 feet when the width is 7 feet.".
To learn more about expression,
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Please help due today!!
Answers
Solve the equation. What is X?
6 ( x − 2 ) = −18
(It is NOT -5, 5, -6, 6 I kept on getting that as the answer)
Answers
[tex]6(x-2)=-18[/tex]
Distribute:
[tex](6)(x)+(6)(-2)=-18[/tex]
[tex]6x-12=-18[/tex]
Add 12 to both sides:
[tex]6x-12+12=-18+12[/tex]
[tex]6x=-6[/tex]
Divide both sides by 6:
[tex]\dfrac{6x}{6} =\dfrac{-6}{6}[/tex]
[tex]\fbox{x = -1}[/tex]
Consider the 3-digit number which are written by using only the digits 1,2,3,4,5. How many of these have two equal digits and one different digit?
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5 3-digit numbers that have three equal digits.
we need to apply the principle of inclusion-exclusion to account for the fact that some 3-digit numbers may be counted multiple times.
any 3-digit number that has three equal digits will be counted twice once as a 3-digit number with two equal digits and one different digit, and once as a 3-digit number with three equal digits.
There are 5 choices for the digit that is repeated, and 1 way to arrange the digits, so there are 5 3-digit numbers that have three equal digits.
Therefore, we need to subtract 5 from the total number of 3-digit numbers that have two equal digits and one different digit.
60 number are 3-digit numbers that have two equal digits and one different digit.
What is permutation and combination?Permutation and combination are ways to arrange values in a set. In permutation the order of arrangement matters, but in combination the order of arrangement does not matter.
The given digits are,
1, 2, 3, 4, 5.
Since, to find the 3 digits numbers which are written by using given digits, and have two equal digits and one different digit,
Here order of arrangement matters.
Use permutation formula,
From 5 digits, 3 are chosen,
Ways of arrangement = ⁵P₃
= 5! / (5-3)!
= 5! / 2!
= 5 x 4 x 3 x 2! / 2!
= 60
There are total 60 different ways, in which numbers can be arranged.
To know more about Permutation and Combination on:
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Is the relationship between the distance traveled and the time shown in the graph proportional?
Answers
Answer:
NO
Step-by-step explanation:
it's starts at the origin but is not a straight line.
(part 2 of my request, check my profile questions to see more thx! <3)
Answers
Answer:
Time +1, Temp +2
Students +5, Magazines +50
Trees +5, Apples +100
Which points have a distance of 6 units between them?
Select all that apply.
Answers
Answer: The answers are A, B, C.
Step-by-step explanation:
`d=3t` represents the relationship between the distance `\left(d\right)`in inches that a snail is from a certain rock and the time `(t)` in minutes.
a. What does the number `3` represent? b. How many minutes does it take the snail to get `9` inches from the rock c. How far will the snail be from the rock after `9` minutes?
Answers
Answer:a.3 is the coefficient
b.3minutes
c.27inches
Step-by-step explanation:
a. In d=3t equation, d and t are variables. 3 is the coefficient for 't'.
b. In d=3t , d is 9inches.
so 9 = 3t
or t = 9/3 =3minutes
c. In d= 3t, t is 9minutes.
So d= 3*9 = 27inches.
Answer: b.3minutes c.27inches
Step-by-step explanation:
Caleb earns $_____ per hour_______ than Hassan.
^
more or less
Answers
Answer:Caleb earns $24 per hour more than Hassan
Step-by-step explanation:
819.40/34=24.08 rounded to 24
Hassan makes 21.5 per hour
Answer:
Caleb earns $2.6 per hour more than Hassan.
Step-by-step explanation:
eg:
Hassan: $21.5 = 1hr
Caleb: $819.40 = 34hr
819.40 ÷ 34 = $24.1 (earned by Caleb per hour)
$24.1 - $21.5 = $2.6 (more than Hassan)