24. Michael leaves his house at 0837 and travels by motorcycle to the railway station, which is 27 km from his
house.
(i) If he arrives at the station 36 minutes later, find the average speed at which he travels in km/h.
(ii) If the train, which is due at 0942, is 11 minutes late, how long will he have to wait?

Answers

Answer 1

Answer:

i) 45km/hr

ii)29 min

Step-by-step explanation:

average speed = distanced travelled / time elapsed

It took 36min and need to convert to hr

36min x [tex]\frac{hours}{60 min}[/tex] = [tex]\frac{36 hr}{60 min}[/tex] = [tex]\frac{9 }{15 }[/tex] hours

distanced travelled is 27 km;

average speed = 27km / (9/15hr) = 45 km/hr

Add 36min to 0837 becomes 0913, the train will arrive at 0942 and the wait will be the difference of 0942 - 0913 = 29 min


Related Questions

The points in the table lie on a line. Find the slope of the line.
Х
6
--2
2.
6
y
8
5
2
1

Answers

Answer:

[tex] Slope (m) = -\frac{3}{4} [/tex]

Step-by-step explanation:

Using any two pairs from the table of values given, (-2, 5) and (2, 2):

[tex] Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Where,

[tex] (-2, 5) = (x_1, y_1) [/tex]

[tex] (2, 2) = (x_2, y_2) [/tex]

Plug in the value into the slope formula:

[tex] Slope (m) = \frac{2 - 5}{2 -(-2)} [/tex]

[tex] Slope (m) = -\frac{3}{4} [/tex]

A 13-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 5 feet from the base of the building. How high up the wall does the ladder reach?
The ladder reaches ___ feet up the wall (round to the nearest humdredth)

Answers

Answer:

12

Step-by-step explanation:

64 - (16/3)= 208/3

I need help understanding HOW the answer to this is 208/3. Please give an explanation ASAP!!

Answers

To make it easier divide 208/3, which is 69.3. Importantly, divide -16 by 3 which is 5.3. Now solve 64- (-5.3), which equals 69.3

Answer:

64 - (-16/3) = 208/3

Step-by-step explanation:

I think the problem may be written incorrectly. For this to be correct, it must be 64- (-16/3) = 208/3.

To get 203/3 you have to find a common denominator because in order to subtract (or add) fractions, they must have the same denominator.

However, 64 does not have the same denominator as -16/3!!

We can write 64 as 64/1, and to give it the same denominator as -16/3, we need to multiply the denominator by 3

BUT we have to do the same thing to the numerator!!! We can't only change the denominator. If one changes, the other has to change too.

So lets multiply the numerator and denominator by 3. 64 x 3 = 192

1 x 3 = 3

Now we have 192/3

Subtracting a negative number is the same as adding. So instead we can write 192/3 + 16/3

Add 192 and 16 to get 208, so now you have 208/3

Suppose that f(x)=3x+1....

Answers

Answer:

3

Step-by-step explanation:

f(x) = 3x+1

f(x+h) = 3(x+h)+1 = 3x+3h+1

f(x+h) - f(x)= 3x+3h+1-3x-1 = 3h

3h/h=3

What is 33% of 171? how did you get it

Answers

Answer:

56.43

Step-by-step explanation:

= 33/100×171

=56.43

Complete the table to find 430 percent of 90. A 2-column table with 6 rows. Column 1 has entries 100 percent, 100 percent, 100 percent, 100 percent, 30 percent, Total 430 percent. Column 2 has entries 90, 90, 90, 90, A, Total B. A = B=

Answers

Answer:

A= 27

B=387

Step-by-step explanation:

i just did the quiz

Answer:

A=27

B=387

Step-by-step explanation:

Just took the quiz lol

hope it helped

The town of Paxton has a population of 4.81 × 104 residents. The town of Oakville has twice the number of residents than Paxton. Which values represent the number of residents for the town of Oakville? Select all the values that apply
.A.9.62 × 10^8
B.4.81 × 10^6
C.9.62 × 10 ^4
D.4.81 × 10^8
E.4,810,000
F.96,200


plz help

Answers

Answer: A,F

Step-by-step explanation:

Which of the following isn't true about the graph of a proportional relationship? A. it is a straight line B. it passes through the origin C. it is "U" shape.​

Answers

Answer:

Its B or it can be A because there both right

Carol Ate 25% of the candies in the bag iF Carroll ate 24 Candies how many candies were there total in the bag

Answers

Answer:

96

Step-by-step explanation:

Show work
will mark best answer as brainliest
Will report wrong answers

Answers

there you go! hope that helps! :)

50 multiplied by 1,856

Answers

Answer:

92800

Step-by-step explanation:

Brainliest?

Hope this helps

1,856 x 50 is 92,800

Tristan and his children went into a restaurant and will buy hotdogs and tacos. Each hotdog costs $4 and each taco costs $3. Tristan has a total of $30 to spend on hotdogs and tacos. Write an inequality that would represent the possible values for the number of hotdogs purchased, hh, and the number of tacos purchased, t.

Answers

Answer:

I don't know about this problem, but what I do know is that with $30, you could buy either 7 hotdogs, or 10 tacos.

Step-by-step explanation:

Answer:

4h + 3t ≤ 30

Step-by-step explanation:

delta

manuel calculates the business costs and profits to produce and hiking backpacks. manuel's profit is his revenue minus his expenses.

A. Write a function to present the profit Manuel makes selling n backpacks.
B. Graph the profit function. What is a reasonable domain for this function for one year if his revenue is between $4,000 and $30,000? Is the function discrete or continuous? Explain
C. How much is his profit if he sells 43 backpacks? Explain



setup cost is $5,250 assembly cost is $54/ backpack revenue is $159/ backpack

Answers

Answer:

A. P = n × $105 - $5,250

B. Please find attached the required graph

The domain for the range ($30,000 to $4,000) = 25 < n < 189

C. The profit from selling 43 backpacks = -$735

Step-by-step explanation:

A. The given parameters are;

The setup cost = $5,250

The assembly cost = $54/backpack

The revenue = $159/backpack

Let n represent the number of backpack produced

Therefore, we have;

Profit, P = $ 159 × n - $54 × n - $5,250

P = n × ($ 159 - $54) - $5,250 = n × $105 - $5,250

P = n × $105 - $5,250

B. Please fins attached the graph of the profit function, created with Microsoft Excel

The domain for a range of revenue of $30,000 to $4,000 is given as follows;

The domain for the range ($30,000 to $4,000) = 25 < n < 189

C. The amount of profit from selling 43 bags = P(43) = 43 × $105 - $5,250 = -$735

The thrift store is selling their old DVDs. When the DVDs first came out, they sold for $19. They have now been marked down by 75%.

A stack of D V D's is shown. They are marked seventy-five percent off.

What is the discounted price of a DVD?

Enter the correct answer in the box.

Answers

Answer:

4.75

Step-by-step explanation:

original price (100%) → $19

discounted price ((100-75)%) = (25%) → 25% x $19 = $4.75

Answer:

Step-by-step explanation:

Here's what we have to do:

1. 19 x 0.75

= 14.25

2. 19 - 14.25

= 4.75

3. 4.75 + 14.25

= $19

The Discount is $4.75, and the sale price is $19.00.

This strategy is correct and you should use it. I was confused from the answer, but this strategy has gotten every question correct. I used two types of calculators to double check.  I redid the equation three times. I am seriously confused. Hope this answer helped!

If this was not helpful, there are tons of special calculators on the internet. Such as the percent calculator, fraction calculator, and even markup and markdown/discount calculators.  

Which is an equation of the line with a slope of 1/4 and a
y-intercept of - 2?
a. x-4y=8
b. x+4y=-8
c. 4x+y=-2
d. 4x-y=2

Answers

Answer:

x-4y=8

Step-by-step explanation:

x-4y=8

-4y=-x+8

y =-x/4 + 2

what is the answer for (8x - 5)

Answers

Answer:

-40 i think

Step-by-step explanation:

Answer:

8x-5

Step-by-step explanation:

This equation can't be further simplified.

In the diagram below, what is the equation that represents the relationship between the number of triangles and the perimeter of the figure they form? Use this table to help you create an equation.

Answers

Answer:

The perimeter of the figure as a function of the number of triangles is [tex]y = 6 + 4\cdot x[/tex].

Step-by-step explanation:

According to the diagram, we get the following facts:

i) For one triangle ([tex]x=1[/tex]), the total perimeter is ([tex]y=2\cdot 3 + 1\cdot 4 = 10[/tex]).

ii) For two triangles ([tex]x = 2[/tex]), the total perimeter is ([tex]y = 2\cdot 3 +2\cdot 4 = 14[/tex])

iii) For three triangles ([tex]x = 3[/tex]), the total perimeter is ([tex]y = 2\cdot 3 +3\cdot 4 = 18[/tex])

iv) For four triangles ([tex]x = 4[/tex]), the total perimeter is ([tex]y = 2\cdot 3 +4\cdot 4 = 22[/tex])

From these information we conclude that the equation that determines the perimeter of the figure as a function of the number of triangles is [tex]y = 6 + 4\cdot x[/tex].

Which diagram represents an element that is likely to form covalent bonds? A purple circle with 2 concentric circles around it. The inner circle has 2 small green spheres. The outer circle has 1 small green sphere. A purple circle with 3 concentric circles around it. The inner circle has 2 small green spheres. The middle circle has 8 small green spheres. The outer circle has 5 small green spheres. A purple circle with 3 concentric circles around it. The inner circle has 2 small green spheres. The middle circle has 8 small green spheres. The outer circle has 8 small green spheres. A purple circle with 4 concentric circles around it. The inner circle has 2 small green spheres. The second circle has 8 small green spheres. The third circle has 8 small green spheres. The fourth circle has 2 small green spheres.

Answers

Answer:

d

Step-by-step explanation:

Answer:

i think the answer is either B or D on edge but i wanna go with B

Step-by-step explanation:

Because you need 8 electrons so B has 5 and D has 2 in the fourth ring so i wanna say B over D but i hope this helps mark me brainliest if so please

I don’t know the answer to this can some one help

Answers

Answer:

A) x=8 and angle ABC=115 degrees

Step-by-step explanation:

the lines are parallel, meaning the angles are congruent.

you can set up the equation (15x-5)=(10x+35) and simplify.

1. separate variable by subtracting 10x on both sides to get (5x-5)=(35)

2. add 5 on both sides to get 5x=40

3. divide both sides by 5 to get x=8

4. plug x=8 into original function (10x+35) to get (10(8)+35) which equals 115 degrees

What is the y-intercept of the line 7x - 5y = 35

Answers

Answer:

(0,-7) is the answer

Question 3 OT 5
What is the simplified fractional equivalent of the terminating decimal 0.25?
A.5/2
B. 1/4
c.2/5
D. 25/100

Answers

1/4 as 25 goes into 100 four times and 25 is one of those

Answer:

uhh

Step-by-step explanation:

You are constructing a line perpendicular to line y through point X, which is not on line y. Which of the following is not a necessary step?
A. Draw an arc with center Q and radius XQ. Label the intersection of this arc and line y as point C. Draw line XC .
B. Draw two arcs of the same radius using A as a center and B as a center. Label the intersection of these two arcs as Q .
C. Place a compass at point X and draw an arc that intersects the line twice. Label the intersections A and B.
D. Draw line XQ .

Answers

Answer:Ur answer is C

8.1(x – 4) = -11.1 + x​

Answers

Answer:

x=3

Step-by-step explanation:

someone help what is the answer to all i will give brainliest to best answer
6th gradw math

Answers

the first one (36/-3) it is the only one that is not 12 :)

Answer:

The first one

Step-by-step explanation:

1. 36/-3 = -12

2.-4-(-16) =12

3.(-3)(-4) = 12

4.21+ (-9) = 12

The first one is the only one which doesn't equal 12. It equals -12 and that's why it doesn't belong.

Let me know if you need further detail for them :)

Determine whether AB and CD are parallel, perpendicular,
or neither.
A (12,3), B(-3,9), C (-6,4), D (-2,-6)

Answers

Answer:

Step-by-step explanation:

we can find the equations for both lines and analyze after

[tex]y = mx + b\\where\\m = \frac{y_2-y_1}{x_2-x_1}\\\\[/tex]

AB:

[tex](12, 3), (-3, 9)\\m = \frac{9-3}{-3-12} = \frac{6}{-15} = \frac{-2}{5}[/tex]

[tex]y = \frac{-2}{5}(x) + b\\3= \frac{-2(12)}{5} + b\\3 = \frac{-24}{5} + b\\b = \frac{39}{5} \\y = \frac{-2}{5}(x) + \frac{39}{5}[/tex]

CD:

[tex](-6, 4) (-2, -6)\\m = \frac{4-(-6)}{-6-(-2)} = \frac{10}{-4} = \frac{-5}{2} \\y = \frac{-5}{2}(x) + b\\4 = \frac{-5(-6)}{2} + b\\4 = 15 + b\\b = -11\\y = \frac{-5}{2}(x) - 11[/tex]

Determining whether two lines are parallel or perpendicular involves looking at their slopes. AB has a slope of -2/5, CD has a slope of -5/2. Since these are not equal (not parallel) and not negative reciprocals of each other (not perpendicular), the lines are neither perpendicular or parallel.

LESSON 3.2 (C) - Rates of Change and Slope
Directions: Find the slope of the line each each graph. Leave the slope as a fraction instead of converting
them to decimals.
1)
2)
Slope =
Slope =

Answers

Answer:

1. Slope = -2

2. Slope = ⁴/3

3. Slope = -3

4. Slope = 1

Step-by-step explanation:

1. Using two points on the line, (0, 0) and (-1, 2):

[tex] slope = \frac{y_2 - y_1}{x_2 - x1} = \frac{2 - 0}{-1 - 0} = \frac{2}{-1} = -2 [/tex]

2. Using two points on the line, (0, 0) and (3, 4):

[tex] slope = \frac{y_2 - y_1}{x_2 - x1} = \frac{4 - 0}{3 - 0} = \frac{4}{3} [/tex]

3. Using two points on the line, (0, 0) and (-1, 3):

[tex] slope = \frac{y_2 - y_1}{x_2 - x1} = \frac{3 - 0}{-1 - 0} = \frac{3}{-1} = -3 [/tex]

4. Using two points on the line, (0, 0) and (2, 2):

[tex] slope = \frac{y_2 - y_1}{x_2 - x1} = \frac{2 - 0}{2 - 0} = \frac{2}{2} = 1 [/tex]

Find the equation of the line.
Use exact numbers.

Answers

Answer:

y=-3/2x+3

Good luck:)

Is (0,1) included in the solution of the system

−x + y < 1 and

x + y ≥ −3

True
False

Answers

The answer is true because 8+7 is sixty nine and the other is 4

Sandy receives a $50000 salary for working as an engineer. If Sandy spends 60% of her
salary on expenses each year, then how much money does Sandy have to spend on
expenses? Round your answer to the nearest whole number.

Answers

Answer:

Step-by-step explanation:

50,000 * 60%= 30,000

If Sandy receives a $50000 salary for working as an engineer. If Sandy spends 60% of her salary on expenses each year, then Sandy spends $30,000 on expenses.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

Given that, Engineer Sandy earns a salary of $50000 per year. If Sandy spends each year 60% of her income on expenses,

We have to find the amount Sandy has to spend on expenses,

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

The amount spend on the expenses is,

Expenses = 60% of the salary

Expenses =60/100 × $50000

Expenses = 30,000

Thus, if Sandy receives a $50000 salary for working as an engineer. If Sandy spends 60% of her salary on expenses each year, then Sandy spends $30,000 on expenses.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ2

f. How many times greater is the area of triangle DEF
than the area of triangle ABC? Show/explain.

Answers

Answer:

Area of ΔDEF is 2.25 times the area of ΔABC.

Step-by-step explanation:

Since, ΔDEF is the enlarged form of ΔABC,

Scale factor = [tex]\frac{\text{Side length of triangle ABC}}{\text{Corresponding side length of image triangle}}[/tex]

                    = [tex]\frac{15}{10}[/tex]

                    = 1.5

Since, ratio of the areas of image and preimage triangles = (Scale factor)²

[tex]\frac{\text{Area of image triangle}}{\text{Area of triangle ABC}}[/tex] = (Scale factor)²

[tex]\frac{\text{Area of image triangle}}{\text{Area of triangle ABC}}=(1.5)^2[/tex]

Area of image ΔDEF = 2.25(Area of ΔABC)

Therefore, area of ΔDEF is 2.25 times the area of ΔABC.

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