1.1 Paul leaves from Johannesburg to Limpopo and has to travel 300km to get to his destination: If he travels at a constant speed of 75 km per hour, how many hours will it take him to get there?

1.2 And if he only has 90 minutes to get to his destination, what speed must he travel to get there on time?

Answers

Answer 1

Answer:

4 hours ; 200 kmph

Step-by-step explanation:

Given that :

Distance to be covered = 300 km

Speed of travel = 75kmph

Number of hours it will take to get to destination :

Time taken = Distance / speed

Time taken = 300 km / 75 kmph

Time taken = 4 hours

2.) If he has 90 minutes to get to destination, required speed will be ; 90 minutes = 1.5 hours

Speed = distance / time

Speed = 300 km / 1.5 hours

Speed = 200 kmph


Related Questions

Solve the distance, rate, time problem using a system of two linear equations in two variables.

A plane can travel 960 miles in 2 hours (120 minutes) with a tailwind. The return trip against the wind takes 2 hours and 40 minutes (160 minutes). Find the speed of the plane in still air and the speed of the wind.

Define two variables (state what each variable represents).
Set up a system of two linear equations using the two variables defined in part (A).
Solve the system of equations by addition or substitution.
State your answer as a sentence and include units.

Answers

Answer:

960 would be correct becasue it says it in the problem.

Write the equation of the line in slope-intercept form that has a slope of 3 and passes through (5, -1)

Answers

Answer:

y = 3x - 16

Step-by-step explanation:

In this question, we have to write an equation in slope-intercept form with the given information.

Slope-intercept form: y = mx + b

We already know our slope: 3

However, we don't know what are y-intercept (b) is.

To find this, plug the given information in the equation and solve for b:

-1 = 3(5) + b

-1 = 15 + b

Subtract 15 from both sides.

-16 = b

This means that our y-intercept will be -16.

Now, plug in our new information to the equation:

y = 3x - 16

The equation y = 3x - 16 will be your answer.

Answer:

y = 3x - 16

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope: 3

Points: (5, -1)

y = 3x + b

-1 = 3 ( 5 ) + b

-1 = 15 + b

b = -16

y = 3x - 16

what is the Mean Median Mode 1) 81,83,44,91,40​

Answers

Answer:

67.8 is the mean

81 is the median.

There is no mode in this set.

Step-by-step explanation:

Mean is the average.

Median is the middle number.

Mode is the number that appears the most.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

“How mathematics is involved in Merchandising?”

Answers

Answer:

You have to have the number of items you paid for and know what numbers you're calculated at checkout.

3/8 divided by 4????

Answers

Answer:

um Yess?

Step-by-step explanation:

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▇╱▏┈┈▇▇▇╱▏▇╱▏

▇╱▏▁┈▇╱▇╱▏▇╱▏▁

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What can 1/3 be rewritten as?

Answers

Answer:

2/6,

Step-by-step explanation:

it can be rewritten as 0.3 or 2/3

please could you give me the answer?

Answers

The second bar representing Paris is misplaced.

The bar representing Munich is a bit larger than needed.

The bar representing Oslo is misplaced.

Question 1 Imaginary & Complex Numbers-Addition & Subtraction Solve the following: (7 – 21) – (2+61) = O 9 +82 O 5 - 42 0 5 - 82 0 5+ 8i​

Answers

Answer:this did not work for me

Step-by-step explanation:

What is 2 and 1/4 divided by 3/4?

Answers

Answer:3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

2 1/4 divided by 3/4 =

9/4 * 4/3 =

36/12 =

3

What linear function models the table of values?

Answers

i think it’s c im not sure :/

In a really exciting part of the book, the student read 18 pages in one sitting. For how many minutes did she read?

Answers

Since there’s 60 minutes in an hour. There’s going to be 18 minutes she read because 1x18=18 or 1080 seconds

It depends on the average reading speed of a person, it is usually from 60s or 1min per page.

What is the length of JL?

Answers

As We can see that point J is on (-2,5) and L is on (-2,-2)

So we know that distance cannot be in negative, thus

Distance between J and L =5+2=7 units

JL=7

Paula knows the total cost for 100 students will be $750, and the cost total cost for 150 students is $1050. What is the caterer’s fixed cost and the rate per student served?

Answers

Step-by-step explanation:

the price charged for 100 students reflects the cost per student that applies to the order as a whole.

100 * 6 = $600, so the fixed cost is 750-600 = 150.

...

We can check this by substituting in the other equation.

Does 150*6 + 150 = 1050?

150*6=900

900+150 = 1050.

Yes, it does

...

We can express this relationship by the equation:

y = mx + b

where

y = total cost

m = $6 per student

x = number of students

b = fixed costs = 150

y = 6x + 150

The caterer’s fixed cost and the rate per student served is $6 and $150

How to choose what quantity to multiply the first equation?

This method is actually called method of elimination to solve a system of linear equations.

We make one specific variable's coefficients of equal magnitude so that we can subtract or add the equations and eliminate that variable to make it easy to get the value of the other variable which will then help in getting the value of the first variable (if working in dual variable system).

If we have equations:

[tex]a_1x + b_1y = c_1\\a_2x + b_2y = c_2[/tex]

then, if we want to eliminate variable x, then we have to multiply equation 1 with

[tex]-\dfrac{a_2}{a_1}[/tex]

which will make coefficient of x in first equation as

[tex]a_1 \times - \dfrac{a_2}{a_1} = -a_1[/tex]

Then adding both equation will eliminate the variable x.

Given;

Cost of 100 students= $750

Cost of 150 students= %1050

Let the fixed cost of caterer be x

and the cost per student be y

x+100y=750...(1)

x+150y=1050...(2)

solving the above equations;

50y=300

y=6

x=750-600=150

The fixed cost is $150, while the per-student cost is $6.

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please help me out here I need it

Answers

Step-by-step explanation:

it is the 3rd one I know this as I substituted all values of x into each equation and got the answer for y

Answer:

y=2X2-5x+5

Step-by-step explanation:

Determine whether the lines are parallel, perpendicular, or neither. Justify your answer. y = 2x - 8
Y = 1/2x + 6
⚠️if you answer correctly I will give you brainlyest⚠️

Answers

Answer:

They are parallel, they will never intersect.

Step-by-step explanation:

Notice that they have exactly the same steepness, which means their slopes are identical. The only difference between the two lines is the y-intercept. If we shifted one line vertically toward the y-intercept of the other, they would become the same line.

x/2 + 6

This is the simplest form because you can’t combine x with 6.

Given the function:
f (x) = (3 x + 4) minus (2 minus x)
Evaluate for f (5).

Answers

Your answer is 22

Hope this helps!

Jerome wants to rent a car for 8 days, and he's interested in the collision damage waiver but not the loss damage waiver. If the daily rate is $60 and CDW is $66, what is his total rental cost?

A$588

B$480

C$546

D$1008

Answers

Answer:

c?

Step-by-step explanation:

Answer:

C.546

Step-by-step explanation:

60×8=480+ 66=546

This question is designed to be answered without a calculator.

Use this graph of function f.



For how many values of x is f not differentiable over the interval (–4, 4)?

Answers

Answer:

4

Step-by-step explanation:

In the graph of the function, between the interval (-4, 4), there are 4 values of x for which the given function is not differentiable.

What is implicit differentiation?

The method of determining the derivative of an implicit function by differentiating each term separately, expressing the derivative of the dependent variable as a symbol, and solving the resulting expression for the symbol.

here,
The function from observation seems to be a discontinuous function,
And the function is not differentiable at x = -1, 0, 1, and 3.
So there are 4 points in the interval (-4, 4) where the function is not differentiable.

Thus, In the graph of the function, between the interval (-4, 4), there are 4 values of x for which the given function is not differentiable.

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Expand and combine like terms.
(4 + 7a²)2 =

Answers

Answer:

Step-by-step explanation:

2(4+7a^2)

=8+14a^2

=7a^2+4

OR if that 2 is an exponent

(4+7a^2)^2

=(4+7a^2)(4+7a^2)

=16+49a^4+28a^2+28a^2

=49a^4+56a^2+16

I can write linear equations

1. Through: (-1,3), Slope=2

2.Through: (3,3), slope= -2

Answers

1. Y=2x+5

2. Y= -2x-3

CAN SOMEONE SHOW FULL STEPS PLEASEE I BEG YOU ??

Answers

Step-by-step explanation:

slope is the number before x so slope here is 3/1 always add the 1 if its a whole number if its a fraction leave it.

y=mx+b

the y-intercept is always be so graphing is now easy

put a dot on the y-intercept so in this case it is 3 on the y-axis. then use rise over run. rise being up and down and run being left and right. so go up 3 then right 1 and put a dot there and connect your 2 lines to make a graph. if the number was -3/1 you go down 3 and right one then but thats just hypothetical

now to make a equation for a point you put it in y=mx+b.

please mark me brainliest if this helped

Rewrite 14 1/3 as an improper fraction

Answers

Answer:

Step-by-step explanation:

((14×3) + 1 )/3 = (43/3)

14 1/3 can be expressed as 43/3, which is an improper fraction.

To rewrite 14 1/3 as an improper fraction, we need to convert the mixed number into a fraction.

First, we multiply the whole number (14) by the denominator of the fraction (3) and add the numerator (1). This gives us the numerator of the improper fraction. The denominator remains the same.

14 × 3 = 42

Next, we add the numerator (1) to the result we obtained above.

42 + 1 = 43

Therefore, the improper fraction equivalent to 14 1/3 is 43/3.

In the fraction 43/3, the numerator (43) represents the total number of parts we have, and the denominator (3) represents the size of each part. It indicates that we have 43 equal parts of size 1/3.

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Misha solves the equation 3 x minus 2 (x + 3) = 4 (x minus 2) minus 7 by applying the distributive property to each side of the equation. The result is 3 x minus 2 x minus 6 = 4 x minus 8 minus 7. Misha then wants to combine like terms. Which are the terms Misha should combine? 3x – 2x and –8 – 7 3x – 2x and 8 – 7 3x – 2x + 4x and –6 – 8 – 7 3x – 2x – 6 and 4x – 8 – 7

Answers

Step-by-step explanation:

The given equation is : 3x-2(x+3)=4(x-2)-73x−2(x+3)=4(x−2)−7

On solving this equation and applying the distributive property, we have

⇒3x-2x-6=4x-8-73x−2x−6=4x−8−7

⇒x-6=4x-15x−6=4x−15

Combining the like terms like terms consisting of x are solved together and the constants are solved together,

⇒x-4x=-15+6x−4x=−15+6

⇒-3x=-9−3x=−9

⇒x=3x=3

Answer:

The answer is A. i just guessed and got it right

Step-by-step explanation:

correct on edge 2020

LOOK A PICTURE HURRY PLS LIKE RIGHT NOW

Answers

Answeri think it’s 96 or 84 I’m. It sure I had this like 3 years ago

Step-by-step explanation:

Graham decided to play football this year instead of getting a part-time job. Last year he made about $1,100 during football season. He also spends about $9 on eating out after each game. His team plays a 10-game season. What is his opportunity cost of playing football?

Answers

10,091 because it's a 10 season football season and he spends 9 dollars every game

Step-by-step explanation:

ez

The opportunity cost of playing football for Graham is $1,190.

What is the Opportunity cost?

The opportunity cost of certain activity in microeconomic theory is the value or gain given up by engaging in that activity in comparison to engaging in an alternative activity. Simply put, if you do a bone activity, you forfeit the potential to choose another.

Given that Graham made $1,100 during football season. Also, Graham spends about $9 on eating out after each game and his team plays a total of 10 games in a season.

Therefore, the opportunity cost of playing football for Graham is,

Opportunity cost

= Amount that Graham would have made in a part-time job +  Total cost of playing football season

= $1,100 + (Number of games × Amount spend in a single game)

= $1,100 + (10×$9)

= $1,100 + $90

= $1,190

Hence, the opportunity cost of playing football for Graham is $1,190.

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2= f/8 f= solve the equation

Answers

2= f/8
F is being divided by eight , when moving across equal sign the sign is opposite.
2 x 8 = f
16=f

Find the distance between a and b

Answers

Answer:I believe it is 2.4

Step-by-step explanation:

50 POINTS!!!!
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=-16x^2+212x+139

Answers

The answer is 503.39

Hope this helps

Dina is making a logo and she decides to use a regular polygon. Each interior angle of the polygon measures 140°. what is the number of sides of this polygon?​

Answers

Answer:

Number of sides = 360/ (180 -140)

Number of sides = 360/ 40

Number of sides = 9

Step-by-step explanation:

The class can contain at most 28 students.

Answers

Answer:

s < 28

Step-by-step explanation:

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