Answers
Outward journey Speed = 20 km/hr , James stopped for 45 Mins ,Average speed homewars 15 km/hr
What is speed, for instance?
A measure of speed is the rate at which something is happening, moving, or moving swiftly. The speed of a car being driven at 45 mph serves as an illustration. A person cleaning a room in 10 minutes is an illustration of speed.From graph Journey Started at 2PM
on 3PM James covered 20 km
Hence Speed = (20 - 0)/(3 -2) = 20 km/hr
outward journey Speed = 20 km/hr
Now outward Distance = 45 km
Time taken = 45/20 = 2 hr 15 min
Hence reached at 4 : 15 PM
Started home at 5 PM
James stopped for 45 Mins (3/4 hrs)
Reached back at 8PM
time taken = 8 - 5 = 3 Hrs
Distance = 45 km
Average speed homeward = 45/3 = 15 km/hr
Average speed homeward = 15 km/hr
Learn more about speed
brainly.com/question/28224010
#SPJ13
Related Questions
Find the slope of the line passing through the points (-2, 7) and (—9,4)
Answers
The slope of the line is 3/7.
The slope of line will be calculated using the formula :
Slope = [tex] \frac{y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]
The first point is (-2, 7) and second point is (-9, 4). So, [tex] y_{2}[/tex] = 4, [tex] y_{1}[/tex] = 7, [tex] x_{2}[/tex] = -9 and [tex] x_{1}[/tex] = -2. Keep the values in formula to find the values of slope of the line.
Slope = (4 - 7)/(-9 - -2)
Performing subtraction in numerator and denominator
Slope = -3/-7
Cancelling the negative signs we get -
Slope = 3/7
Thus, the slope of the line is 3/7.
Learn more about slope of line -
https://brainly.com/question/16949303
#SPJ9
a manufacturer produces a metal box with a square base, no top, and a volume of h w w 50 cm3 what dimensions minimize the amount of metal used to make the box.
Answers
the dimensions of the box that minimize the amount of material used is 4.641cm by 4.641cm by 2.32cm
Let the side of the square base be x
h be the height of the box
Volume V = x²h
50 = x²h
h = 50/x² ..... 1
Surface area = x² + 2xh + 2xh
Surface area S = x² + 4xh ...... 2
Substitute 1 into 2;
From 2; S = x² + 4xh
S = x² + 4x(50/x²)
S = x² + 200/x
To minimize the amount of material used; dS/dx = 0
dS/dx = 2x - 200/x²
0 = 2x - 200/x²
0 = 2x³ - 200
2x³ = 200
x³ = 100
x = ∛100
x = 4.6416cm
Since V = x²h
50 = 4.642²h
h = 50/21.548
h = 2.32cm
Hence the dimensions of the box that minimize the amount of material used is 4.641cm by 4.641cm by 2.32cm
learn more about of volume here
https://brainly.com/question/19494124
#SPJ4
Landon had 56 playing cards. He kept 12 for himself and
dealt the rest evenly to his 4 friends. Which expression best
represents the number of cards each friend received?
Answers
We need to use simple division to solve the problem. The number of cards each friend received is 11.
It is said that Landon has 56 cards, he kept 12 cards for himself, so we can subtract 12 cards from the whole lot to get the total number of cards he distributes among his friends.
56-12=44
There are 44 cards that he will distribute among his friends equally, we can get that by simply dividing the total number of cards by the number of friends which is 4.
number of cards for each friend=44/4=11
Therefore the number of cards each friend received is 11.
Learn more about division here:
https://brainly.com/question/25289437
#SPJ9
Identify which of the twelve basic functions listed below fit the description.
Answers
The four functions with a local minima are:
y = x², y = |x|, y = sin x, y = cos x
A function f(x) has a local minima if its second derivative, f''(x) > 0 at the point where f'(x) = 0.
We use this to find which among the functions y = x, y = x², y = x³, y = |x|, y = 1/x, y = eˣ, y = √x, y = ln x, y = sin x, y = cos x, y = int(x), y = 1/(1+e⁻ˣ) has a local minima.
y = xy' = 1. There is no point x such that y' = 0. So it has no local minima.
y = x²y' = 2x
y' = 0
⇒ 2x = 0
⇒ x = 0
y'' = 2 > 0
So y = x² has a local minima at x = 0
y = x³y' = 3x²
y' = 0
⇒ 3x² = 0
⇒ x = 0
y'' = 6x = 0 at x = 0
So y = x³ has no local minima.
y = |x|i.e., y = x, when x ≥ 0 and y = -x , when x < 0
So y ' = 1, when x ≥ 0 and y' = -1, when x < 0
But at x = 0, y = 0 and y' = 0.
Now y'' = 0 everywhere. But the graph of y = |x| clearly shows that y = |x| has a local minimum at x = 0.
y = 1/xy' = -1/x²
Here, y' is nowhere zero and hence doesn't has a local minima.
y = eˣy' = eˣ
eˣ is nowhere zero and hence it does not has a local minima.
y = √xy' = 1/2√x
Here also y' is nowhere zero and hence it does not has a local minima.
y = ln xy' = 1/x
Here also y' is nowhere zero and hence it does not has a local minima.
y = sin xy' = cos x
y' = 0
⇒ cos x = 0
⇒ x = (2n+1)π/2, n = 0,1,2,....
y'' = -sin x
-sin ((2n+1)π/2) = -1, when n = 0,2,4,... and -sin ((2n+1)π/2) = 1, when n = 1,3,5,....
So y = sin x has local minima at x = (2n+1)π/2, where n = 1,3,5,....
y = cos xy' = -sin x
y' = 0
⇒ -sin x = 0
⇒ x = nπ
y'' = -cos x
-cos(nπ) = (-1)ⁿ⁺¹
So, -cos(nπ) = 1, when n = 1,3,5,.... and -cos(nπ) = -1, when n = 0,2,4,...
Hence y = cos x has local minima at x = nπ with n = 1,3,5,....
y = int(x)y' = x
y' = 0
⇒ x = 0
y'' = 1 >0
So y = int (x) has local minima at x = 0
y = 1/(1+e⁻ˣ)y' = e⁻ˣ/(1+e⁻ˣ)²
y' = 0
⇒ e⁻ˣ/(1+e⁻ˣ)² = 0
⇒ e⁻ˣ = 0
⇒ 1/eˣ = 0 which is not possible anywhere.
Hence y = 1/1+e⁻ˣ has no local minima.
Finally the four functions with local minima are:
y = x², y = |x|, y = sin x, y = cos x
Learn more about local minima at https://brainly.com/question/2437551
#SPJ9
Pls help with my geometry questions.
1. What do you call the side that is between 2 angles, like in ASA?
2. What do you call the side that is not in between 2 angles, like in AAS?
3. If lines are perpendicular, then they form ______ _______ angles.
Answers
A triangle is a closed polygon having number of sides exactly 3. Example - Equilateral Triangle, Isosceles Triangle, and etc.
The triangles are congruent when two pairs of corresponding angles and one pair of corresponding sides (between the angles) are both equal and the side is known as Included Side.
While, The triangles are congruent when two pairs of corresponding angles and one pair of corresponding sides (not between the angles) are both equal and the side is known as Angle Angle Side.
When two lines are perpendicular to each other, then they form Right Angles which are 90° in measure.
To learn more about, congruent triangles here
https://brainly.com/question/22062407
#SPJ1
Margie’s work for adding linear expressions is shown below. After checking her answer key, she solved it incorrectly.
Given: (-3.78b + 12) - (4.82b - 16)
Step 1: -3.78b + 12 + -4.82b - 16
Step 2: -3.78b + -4.82b + 12 - 16
Step 3: (-3.78b + 4.82b) + (12 - 16)
Step 4: -8.6b + (-4)
Part A: Identify and explain the first step where Margie made an error
Part B: Explain how to correctly write the expression in the fewest terms by correcting the error in Part A.
Answers
There is a mistake in the first step. The correct way to add the linear expression is (−3.78b + 12) − (4.82b − 16) = -8.6b + 18
How to correctly write adding linear expression?An expression is used to show the relationship between the variables.
The linear expression to add is as follows: (−3.78b + 12) − (4.82b − 16)
Firstly we open the bracket on the right side by multiplying the negative sign by the numbers in the brackets.
(−3.78b + 12) − (4.82b − 16)
−3.78b + 12 - 4.82b + 16
Combine like terms
−3.78b + 12 - 4.82b + 16
-3.78b - 4.82b + 12 + 16
Add the like terms
-3.78b - 4.82b + 12 + 16
-8.6b + 18
Therefore, she made the mistake in the first step.
Learn more about expressions on:
https://brainly.com/question/28563467
#SPJ1
Jamie thinks that 1 is neither prime
nor composite.
Show why you agree or disagree with him.
Answers
Yes, I do agree with Jamie.
1 is NEITHER a prime number NOR a composite number.
Reason for agreeing:-
We know that a PRIME NUMBER is any given number that has only one as a factor. I.e it is only divisible by 1 AND ITSELF.
And, a COMPOSITE NUMBER is any number that is divisible by a number other than one and itself.
Here in the case of 1, we see that it is divisible by 1 and itself, and since it cannot have any other factor we can't put in either of the two categories
Ten granola bars and twelve bottles of water cost $23. Five granola bars and four bottles of water cost $10. How much do one granola bar and one bottle of water cost?Part BFor a fundraiser, a group plans to sell granola bars and bottles of water at the same prices as described in Part A. The group wants the income from the fundraiser to be at least $150.Choose the inequality to show the number of granola bars x and the number of bottles of water y that must be sold.
Answers
Let g = cost of granola bars
b = cost of a bottle of water
10g+12b = 23
5g + 4b = 10
Multiply the second equation by -2
-10g -8b = -20
Add this to the first equation
10g+12b = 23
-10g -8b = -20
---------------------
4b = 3
Divide by 4
4b/4 = 3/4
b = 3/4 or .75
Now find g
5g + 4(3/4) = 10
5g + 3 = 10
5g = 7
g = 7/5
g = 1.4
We want to find 1g+ 1b
1.4+ .75 =2.15
Part B
We want our income to be at least 150
The cost of granola bars is 1.4 and we are selling x of them
The cost of water is .75 and we are selling y of them
It must be at least >=
1.4x + .75y >= 150
For one journey from London to Marseille, the ratio number of adults: number of children = 11: 2. There were 220 adults in total on this journey. All of the children and 70% of the adults paid the standard fare. The remaining adults paid the premier fare. Calculate the total of the fares paid by the adults and the children.
Answers
Answer: 174
Step-by-step explanation: ok so we divide 220 by 11 to get 20 and times that by two to get 20 children on this journey then see that all children paid and 70 percent of adults so 70 percent of 220 is 154 and then 154 + 20 is 174 so thats the number of fares paid
Math nerds please help finish these sentences
I can tell a slope is greater than 1 by _________
I can tell a slope is equal to 1 by _______
I can tell a slope is less than 1 by ________
please help answer these please
Answers
Just here for the points lol
The measures of the angles of a triangle are shown in the figure below. Solve for x
need help asap!!!)
Answers
Answer:
x=36
Step-by-step explanation:
(3x+3)^0+x+54= 90
x+54=90
x=90-54
x=36
Prove algebraically that the square of any odd number is always one more than a multiple of 8.
Answers
The square of any odd number is not always one more than a multiple of 8. The proposition is false.
How to prove a relationship between odd numbers and multiples of 8
Natural numbers can be divided into even numbers (i.e. 2, 4, 6) and odd numbers (i.e. 1, 3, 5). Let be n an element of the set of even numbers and the element 0, such that odd numbers are of the form:
x = 1 + n
Then,
(1 + n)²
1 + 2 · n + n²
If 1 + 2 · n + n² is one more than a multiple of 8, then we find the following relationship:
1 + 2 · n + n² = 8 · x + 1, where x is a natural number.
2 · n + n² = 8 · x
For x = 1:
2 · n + n² = 8
n² + 2 · n - 8 = 0
(n + 4) · (n - 2) = 0
Then, the least even number is 2 and the least odd number is 3. This implies that the proposition is not observed for (1 + n) = 1. Therefore, the proposition is false.
To learn more on odd numbers: https://brainly.com/question/2057828
#SPJ1
What is 150 + 1/6 + 1/2
Answers
Answer:
150 and 2/3 or 150.6666...
Step-by-step explanation:
1/6 + 1/2 = 1/6 + 3/6.
1/6 + 3/6 = 4/6 = 2/3
150 + 2/3 = 150 and 2/3
Mark as brainliest please
Answer: exact form is 452/3
decimal form is 150.6
Step-by-step explanation:
can someone help me really quick
Answers
Answer:
6.75
Step-by-step explanation:
Consider the ratio:
$4.50 : 6 apples
We need to multiply this ratio by a value such that the right side is 9 because there are 9 apples in array p. This value is 9/6 = 3/2.
$4.50 : 6 apples
× 3/2 × 3/2
$6.75 : 9 apples
So, the value of p, or 9 apples, is $6.75, which you will input as 6.75.
how do you Graph the line y=4x-1
Answers
Answer: Look at photo. Your y intercept is -1 and the line goes up 4 and right 1.
Step-by-step explanation: Look at your last number, the -1. That should be on the y axis. Put that number there and then take 4x which can also be read as 4/1x and from the point of -1, go up 4 and right 1.
how many apples does john eat
Answers
Answer:
you gave no context....so ill just guess 3.
Which table is linear?
2)
X
-2
-1
0
1
2
у
0.111
0.333
1
3
9
8)
X
-2
-1
0
1
2
у
7
2
-1
-2
-1
X
-2
-1
0
1
2
у
-2
1
4
7
10
Answers
Answer:
The last one
Step-by-step explanation:
this is really hard to read but you have to see which y values increase by a constant amount. Only the last case is linear in which each value increases by 3
Determine which integer(s) from the set S:{−40, 2, 20, 42} will make the inequality three eighths m minus three is less than one fourth m plus 2 false.
S:{42}
S:{−40, 2}
S:{−40, 2, 20}
S:{−40}
Answers
The set S:{42} will make the inequality false.
By definition, one can apply any monotonically rising function to both sides of an inequality without affecting how they relate to one another (provided that both expressions are in the domain of that function).
An inequality relation would be reversed if a monotonically dropping function were applied to both sides of the inequality. Examples of how to employ a monotonically declining function are the rules for the additive and multiplicative inverses for positive values. The inequality (a b, a > b) remains stringent if the function is monotonic in a strict sense.If only one of these requirements is met, the inequality that results is not rigid. In fact, the requirements for both additive and multiplicative inverses serve as evidence that a strictly.Given inequality is :
3/8 m - 9 < 1/4 m + 2
Solving the inequality we get:
or, m < 40
Therefore of all the elements of the set 42 makes the inequality false.
To learn more about inequality visit:
brainly.com/question/17675534
#SPJ1
4.
Bacteria in a lab has a population of 500 and it triples every hour. Which of the following
equations represents the this situation?
Identifique la intersección y y el factor de crecimiento para la siguiente ecuación
exponencial:
y=3z +500
y=500z+3
y = 500(3)²
y=3(500)=
Answers
Answer:
y=3(500)
Step-by-step explanation:
I think this is ans but i do not know the ans.
A group of friends go to the store buy some fruit. marcus buys 5 pounds of apples for $13.75 at this rate ,how many pounds of apples can marcus buy with $22
Answers
Answer:
He can buy 8 pounds
Step-by-step explanation:
13.75/5=2.75
22/2.75=8 or 8 pounds the to check your answer 2.75x8=22
How can division be used to find the factors of polynomial functions?
Answers
Answer:
To divide polynomials using long division, first divide the first term of the dividend by the first term of the divisor. This is the first term of the quotient. Multiply the new term by the divisor, and subtract this product from the dividend. This difference is the new dividend.
please anyone pleaseee help with explanation
Answers
The slope of the line = change in y / change in x = 4/3.
How to Find the Slope of a Line?The slope of a line is the rise over the run, which is the change in y/change in x = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
To calculate the slope of the line that is given, chose any two points on the line as plotted in the given graph, say:
(30, 20) = [tex](x_1, y_1)[/tex]
(60, 60) = [tex](x_2, y_2)[/tex]
Substitute each of these values into the slope formula, [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]:
Slope for the given line (m) = (60 - 20)/(60 - 30)
Slope for the given line (m) = 40/30
Slope for the given line (m) = 4/3.
Learn more about slope of line on:
https://brainly.com/question/3493733
#SPJ1
i need help with this. it’s just geometry
Answers
Answer:
27. 48°, 132°
28. The expressions resolve to both angles being 0°, a contradiction to the lines being distinct.
Step-by-step explanation:
Given a figure showing parallel lines crossed by a transversal with marked angles, you want to know (27) the measures of consecutive interior angles that have a ratio of 4:11, and (28) the contradiction in corresponding angles being marked (60-2x)° and (2x-60)°.
27. Algebra.The two marked angles are consecutive interior angles, so are supplementary. Using x for the smaller angle value, we can write the equation ...
x/(180-x) = 4/11 . . . . . the given ratio of the two angles
Multiplying by 11(180-x) gives ...
11x = 4(180-x)
15x = 4(180) . . . . add 4x and simplify
x = 48 . . . . . . . . divide by 15
Then the obtuse angle is ...
180 -48 = 132
The measures of the angles are ∠1 = 48°, ∠2 = 132°.
2. Error Analysis.The two marked corresponding angles are congruent, so ...
(60 -2x)° = (2x -60)°
4x = 120 . . . . . . . . . . . divide by °, add 2x+60
x = 30 . . . . . . . . . . divide by 4
60 -2x = 60 -2(30) = 0
2x -60 = 2(30) -60 = 0
The marked values require the angles to be 0°, which means the transversal is coincident with each of the "parallel" lines.
The given angle values require the lines not to be distinct, as the diagram shows they are.
Dennis's curtain company is making curtains for a local hotel. He wants each curtain to be 48 inches long. At the fabric store, fabric is sold by the foot. If Dennis's curtain company wants to make 63 curtains, how many feet of fabric will he need?
Answers
Dennis's curtain company needs 252 feet long fabric to make 63 curtains.
Given,
The length of a curtain = 43 inches
Number of curtains they want to make = 63
We have to find the length of fabric in foot needed to make 63 curtains.
1 foot = 1/12 inches
Now,
The total length of fabric needed in inches = Number of curtains × Length of 1 curtain = 63 × 48 = 3024 inches
Convert this into feet.
That is,
3024 × 1/12 = 252 feet.
Therefore,
Dennis's curtain company needs 252 feet long fabric to make 63 curtains.
Learn more about length here:
https://brainly.com/question/20594273
#SPJ1
12] Will's salary is three times Nathan's salary. Together they earn $192 per week. Find the salary of each boy.
Answers
Nathan's salary is $48 and Will's salary which three times of Nathan's salary is $144.
What is salary?
An employment contract may include a salary clause as a type of recurring payment from an employer to an employee. In contrast, piece wages are paid separately for each job, hour, or other unit rather than on a regular schedule. Salary can also be seen from the perspective of operating a corporation as the expense of obtaining and keeping employees to carry out operations; this is known as a personnel expense or salary expense. Payroll accounts are used in accounting to record salaries.
It is given in the question that Will's salary is three times Nathan's salary.
So, lets assume that Nathan's salary is X it implies that Will's salary will be 3 times X = 3X
Together they earn $ 192.
So,
X + 3X = 192
4X = 192
X = 192/4
X = 48
Therefore, Nathan's Salary is $48
Since, Will's salary is 3 times of Nathan's salary,
So,
Will's salary = 3 (48) = 144
Therefore, Will's Salary is $144
To know more about salary calculation, go to link
https://brainly.com/question/24988098
#SPJ9
Swim team members can race or dive. At a meet, 18 members race. The ratio of racers to divers is 6:2. How many members are on the team?
Answers
Answer:
24
Step-by-step explanation:
If the ratio of racers to divers is 6:2 then compare that to 18:x
6 times 3 is 18
2 times 3 is 6
x is 6
Now add 6 and 18
You get 24
Complete the empty table from the provided information.
Transform the graph of f(x) by dilating it by a factor of 3.
Write the equation of the resulting line in slope intercept form.
Answers
Due to length restrictions, the table of the transformed graph is shown in the explanation section. The equation of the transformed graph is g(x) = 3 · x.
How to derive the table of the image of a graph
In this question we find the representation of a line on a Cartesian plane and its corresponding table and we need to determine the table of the image of such function. The transformed graph is the result of dilating the original graph by a factor of 3. The value of g(x) is equal to three times the value of f(x):
x g(x)
- 2 - 6
- 1 - 3
0 0
1 3
2 6
The equation of the original graph is f(x) = x and the equation of the transformed graph is g(x) = 3 · x.
To learn more on equations of the line: https://brainly.com/question/2564656
#SPJ1
On Wednesday night in St. Petersburg, Russia, the temperature is -11°C.
On the same night in Bombay, India, the temperature is 17°C.
What is the difference in the temperature?
Answers
The difference in the temperature of Bombay to St. Petersburg is 28° C.
What is the difference between two numbers and how is it calculated?
An arithmetic operation called subtraction simulates the process of deleting items from a collection. The negative symbol, or, denotes subtraction. Subtraction is the process of subtracting a matrix, vector, or other quantity from another according to predetermined criteria in order to find the difference.
Subtracting two numbers from each other is a type of subtraction. The difference between two numbers is calculated by deducting the smaller of the two values from the larger.
Given, the temperature in St. Petersburg = T₁ = -11° C
The temperature in Bombay = T₂ = 17° C
Using general comparison, we get T₂>T₁, since one is positive and the other is negative.
Therefore following available literature,
Difference in temperature = T₂ - T₁ = 17 - (-11) = 17 + 11 = 28° C
Thus, the required difference in temperature of Bombay to St. Petersburg is 28° C.
To learn more about this, tap on the link below:
https://brainly.com/question/17301989
#SPJ9
Match each pair of angles to their angle pair name.
<2&<7
<5 & <8
<9 & <16
<1 & <3
<4 & <3
<14 & <15
Answers
The name for the angle <2&<7 is an alternate interior angle by a transversal x.
What are vertically opposite angles?It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.
The angle pairs are given.
From the diagram:
<2&<7 = Alternate interior angle by a transversal x
<5 & <8 = Consecutive exterior angle by a transversal x
<9 & <16 = Consecutive exterior angle by a transversal x
<1 & <3 = Corresponding angles by transversal x
<4 & <3 = Adjacent angle by transversal g
<14 & <15 = Consecutive interior angle by a transversal y
Thus, the name for the angle <2&<7 is an alternate interior angle by a transversal x.
Learn more about the vertically opposite angles here:
brainly.com/question/24287162
#SPJ1
Walter pays 2.53 to ship a package that weighs 5.5 onces. which is the cost to ship 1 ounce
Answers
To determine the price per ounce walter paid to ship the package you can use cross multiplication.
If 5.5 ounces ______$2.53
Then 1 ounce______$x
[tex]\begin{gathered} \frac{2.53}{5.5}=\frac{x}{1} \\ x=0.46 \end{gathered}[/tex]He will pay $0.46 per ounce