John travelled 450km using 31 litres of petrol. (km/litre)

Answers

Answer 1

Answer:

its SUMMER wth

Step-by-step explanation:

Its time too TURN UPPP!

Answer 2

Answer:

450/31=14.51km/litre


Related Questions

Donna is making a cookie recipe that calls for 1 ¾ cups of sugar. However, when she goes to take out the measuring cups she can only find the one-half cup measuring cup. How many one-half cups will she need to fill to get the correct amount of sugar for her cookie recipe?

Group of answer choices

3 1/2

7

2 1/4

3

Answers

Answer:

D. 3

Step-by-step explanation:

What is the value of a?

Answers

Answer:

Any more information to the problem?

Step-by-step explanation:

Write the equation of a line that goes through point (0, −8) and has a slope of 0.

Answers

Answer: y = -8

Step-by-step explanation:

Lines that have a slope of Zero means that the line is horizontal and y is always the same. So your equation is y = -8

Answer:

y = - 8

Step-by-step explanation:

A line with a slope of 0 is a horizontal line parallel to the x- axis with equation

y = c ( c is the value of the y- coordinates the line passes through )

the line passes through (0, - 8 ) with y- coordinate - 8 , then

y = - 8 ← equation of line

Here is a diagram of a black circle inside a white square and a diagram of a small grey square inside a white square.
The two white squares are the same size.


AB = 8x.

The sides of the square are tangents to the circle at the points E, F, G and H.
W, X, Y and Z are the midpoints of AB, BC, CD and DA respectively.

Work out the ratio of the area of the black circle to the area of the white square to the area of the grey square. Give your answer in its simplest form.

Hi, I don't understand this. Can someone please explain? It's 50 points.

Answers

The ratio of the area of the black circle to the area of the white square to the area of the gray square is π : 4 : 2

How to determine the ratio of the areas?

The side length AB is given as:

AB = 8x

The area of the white square is calculated as

White = (AB)²

This gives

White = (8x)²

Evaluate

White = 64x²

The side length AB represents the diameter of the black circle.

So, the radius is:

r =AB/2

This gives

r = 8x/2 = 4x

The area is then calculated as:

Circle = πr²

This gives

Circle = π(4x)²

Evaluate

Circle = 16πx²

Next, calculate AW and AZ using:

AZ = AW = AB/2

Evaluate

AZ = AW = 8x/2 = 4x

Calculate WZ using the following Pythagoras theorem

WZ² = AW² + AZ²

This gives

WZ² = (4x)² + (4x)²

Evaluate

WZ² = 2(4x)²

Take the square root of both sides

WZ = 4x√2

The area of the gray square is:

Gray = WZ²

This gives

Gray = 2(4x)²

Evaluate

Gray = 32x²

At this point, the areas are:

White = 64x²Circle = 16πx²Gray = 32x²

The ratio is then represented as:

Ratio = Circle : White : Gray

This gives

Ratio = 16πx² : 64x² : 32x²

Divide through by 16x²

Ratio = π : 4 : 2

Hence, the ratio of the area of the black circle to the area of the white square to the area of the gray square is π : 4 : 2

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Calculate the perimeter of this shape.

Answers

Move the red and blue lines separately to get a rectangle with its perimeter:
11×2+16×2=54cm

What does 0 = 0 mean regarding the solution to the system?

There are no solutions to the system because the equations represent parallel lines.
There are no solutions to the system because the equations represent the same line.
There are infinitely many solutions to the system because the equations represent parallel lines.
There are infinitely many solutions to the system because the equations represent the same line.

Answers

Answer:

There are infinitely many solutions to the system because the equations represent the same line

There are 45678 males, 32257 females and 59179 children in a town. Find the total population of the town.

Answers

Answer:

137,114

Step-by-step explanation:

First, add 45,678 and 32,257 together, then add 59,179 to it, and you get 137,114.

Given a line with slope = −6and passing through (−5,−9) , which of the following is the correct point-slope equation of the line? y−9=−6(x−5

Answers

The equation of the line with Slope = −6 and passing through (-5,−9) is y +9 = -6(x+5)

Equation of a line

The equation of a line in pint slope form is expressed as:

y - y1 = m(x-x1)

where

m is the slope = -6

(x1, y1)  is the point = (-5, -9 )

Substitute into the formula

y - (-9) = -6(x -(-5))

y +9 = -6(x+5)

Hence the equation of the line with Slope = −6 and passing through (-5,−9) is y +9 = -6(x+5)

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Find the height of the trapezoid.

Answers

Answer:

height = 7

Step-by-step explanation:

[tex]2\cdot\frac{42}{8.7 + 3.3} = 7[/tex]

in the figure above m is parallel to the line n the measure of angle one is 40 degrees what is the measure of angle 2

Answers

Step-by-step explanation:

angle 2+40=180

angle 2=180-40

angle 2=140

the answer Is 140 degree

is this correct ,please check

Answers

Choices B, C, and D are correct. Nice work.

Further explanation:

Choice A is ruled out because we aren't multiplying 5 by 6Choice B is correct because 4*5 is the same as 5*4. Similarly, 3(2+6) is the same as 3(6+2). We can add in any order, and multiply in any order. See the commutative property for more details.Choice C is correct for similar reasoning as choice BThe distributive property allows us to go from 3(2+6) to 3*2+3*6, showing that choice D is the same as B and C.You can confirm each answer by using a calculator. The result of simplifying the original expression is 44. You should find that expressions B, C and D also result in 44. Only choice A is the one that doesn't fit in since it results in 56.

How many real solutions exist for this system of equations? y = x^2 + 4 y = 4x

Answers

Answer:

This system of equations has one real solution, (2, 8).

Step-by-step explanation:

Given:

y = x² + 4

y = 4x

1. Substitute the given value of y into y = x² + 4:

⇒ 4x = x² + 4

2. Solve for x (by factoring):

⇒ 4x = x² + 4

⇒ 0 = x² - 4x + 4

⇒ 0 = (x - 2)² [perfect square rule: a² -2ab + b² = (a - b)²]

⇒ 0 = (x - 2)² [take the square root of both sides]

⇒ [tex]\sqrt{0} = \sqrt{(x - 2)^2}[/tex]

⇒ 0 = x - 2 [add 2 to both sides]

⇒ 0 + 2 = x - 2 + 2

2 = x

3. Find the value of y by substituting the given value of x into y = 4x:

⇒ y = 4(2)

y = 8

4. Check your work:

⇒ y = x² + 4          and          ⇒ y = 4x

⇒ 8 = 2² + 4         and          ⇒ 8 = 4(2)

⇒ 8 = 4 + 4          and           ⇒ 8 = 8 ✔

⇒ 8 = 8 ✔

Solution: (x, y) ⇒ (2, 8)

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xavier has a golf score of -7 and curtis has a golf score of -12 who has the higher score

Answers

Answer:

xavier

Step-by-step explanation:

in a number line full of negative and positive the farther down left you go the lower it get. the farther down right you go the higher it get. this is the same in the negative section even though you may think because 12 is a bigger number then seven in the negatives that rule is flipped. Hopes this helps?

You are building a brick patio. the length of the patio is (x+11) feet.

the total area of the patio can be represented by x^2+14x+33. write an expression for the width of the patio

Answers

The expression that represents the width of the patio is (x+3) feet

Calculating area

From the question, we are to determine the width of the patio

The area of the patio = Length of the patio × Width of the patio

From the given information,

Length of the patio = (x+11) feet

Area of the patio = x^2+14x+33 = x²+14x+33

Putting the parameters into the formula,

x²+14x+33 = (x+11)  × Width of the patio

∴ Width of the patio = (x²+14x+33) / (x+11)

First, we will factor x²+14x+33

x²+14x+33

x²+11x+3x+33

x(x+11) +3(x+11)

(x+3)(x+11)

Thus,

Width of the patio = [(x+3)(x+11)] / (x+11)

∴ Width of the patio = (x+3) feet

Hence, the expression that represents the width of the patio is (x+3) feet

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LABEL THE CIRCLE BY FILLING THE BOXES WITH THE APPROPRIATE PARTS OF THW CIRCLE.

Answers

The 1- diameter, 2-inscribed angle, 3-chord, 4-minor arc, 5-central angle, 6-radius, and 7-centre.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

The radius is the double the diameter.

The longest chord in the circle is diameter.

The angle formed at the centre is known as centeral angle.

Thus, the 1- diameter, 2-inscribed angle, 3-chord, 4-minor arc, 5-central angle, 6-radius, and 7-centre.

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There are 5 dessert courses in a restaurant. They will be presented two at a time in an order. How many different arrangements are there?​

Answers

Answer:

3 I think.

Step-by-step explanation:

5 would be broken up to 2 groups of 2 and 1 group of 1.

In 20 different ways 5 dessert courses can be arranged taken 2 at a time.

What are permutation and combination?

A permutation is an arrangement of things where order matters, AB and BA are two different permutations.

The combination is a selection of things where order does not matter, AB and BA are the same combinations.

Given, There are 5 dessert courses in a restaurant and they will be presented two at a time in an order.

Here we have to use permutation as order matters.

Now, the permutation of 5 different things taken 2 at a time is,

= [tex]^5P_2[/tex].

= 5!/(5 - 2)!.

= 5!/3!.

= 5 × 4.

= 20 different ways.

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In circle o, mzaob=41. what is maxb?
(not drawn to scale)
b 221
319
o
a 82
41
b

Answers

Answer:

82+41=awnser

Step-by-step explanation:

82+41= smart

On saturdays, elliott practises the piano, walks his dog, does his homework, and cleans his room. use an organized list to show all the possible orders in which elliott can do these tasks.

Answers

The possible orders in which Elliott can do these tasks is 24

What is Permutation ?

Permutation is defined as the number of ways r number of objects can be arranged in total n number of objects.

P(n,r) = n! / (n-r)!

As Elliot have 4 tasks to do practices the piano (A), walks his dog(B), does his homework(C), and cleans his room(D)

4 Task can be done in 4! ways = 4 * 3 * 2 * 1 = 24 ways

ABCD ABDC

ACBD  ACDB

ADBC ADCB

This is for when Elliot does piano first (A)and then walks his dog(B), does his homework(C), and cleans his room(D) .

Similarly for other 3 works , total 24 possible orders can be followed.

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Help!! Which of the following is equivalent to 3 6
— = —— ?
X X-4

Answers

Answer:

3rd Option    -     3(x-4) = 6x

Step-by-step explanation:

To remove the fractions we escalate them up to the other side. So to remove the x under 3 we do the following :

[tex]\frac{3}{x} = \frac{6}{x-4}[/tex]   ----->  [tex]{3}= \frac{6x}{x-4}[/tex] (As you can see the x now goes to the numerator of the right side)

Now to remove x-4 under 6x we do the following :

[tex]{3}= \frac{6x}{x-4}[/tex]   ------> [tex]3(x-4)= {6x[/tex]

Therefore giving our answer as the 3rd option.

Hope this helped and have a good day

10 · c − 8 · 95 = (10 − 8) · 95

Answers

Answer:

x=95

Step-by-step explanation:

First, we can simplify the equation. 10c-760=190. We can +760 on both sides. 10c=950. We can do 950/10=95.

Can someone help me with this graph please

Answers

These are the answers to your questions

a.In short supply
b.5
c.5

BRAINLIEST AND 100 POINTS!!
Create a comparative box plot for the morning and afternoon dogs, and label each with its five-number summary.

Sara's dogs:
Morning:
39, 21, 12, 27, 23, 19, 19, 31, 36, 25
Afternoon:
15, 51, 8, 16, 43, 34, 27, 11, 8, 39

Answers

Answer:

see attached

Step-by-step explanation:

Morning:

12, 19, 19, 21, 23, 25, 27, 31, 36, 39

Min value: 12

Lower quartile (Q1): 19

Median (Q2): 24

Upper Quartile (Q3): 31

Max value: 39

Afternoon:

8, 8, 11, 15, 16, 27, 34, 39, 43, 51

Min value: 8

Lower quartile (Q1): 11

Median (Q2): 21.5

Upper Quartile (Q3): 39

Max value: 51

Answer:

7.  AM IQR: 12   PM: IQR: 28  8. see below in explanation

Step-by-step explanation:

7. 31-19=12

    39-11= 28

You subtract Q1 from Q3 to get the IQR.

8. I believe the morning group of dogs would be easier to walk as one group because the group has a closer range of weights (12-39) compared to the afternoon group of (8-51). Walking a large group of dogs with similar weights would be easier than walking a group of very small and very large dogs at the same time because their pace of walking would be so different.

Pls show full work thank you so much:)))

Answers

Answer x= 30


M angle A = 85


M angle C = 45


Reason - see picture for the math

Grandma baked 969696 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received ccc fewer cookies than she would have received had all of the cookies been evenly divided among the 888 grandchildren.
How many cookies did Cindy receive?

Answers

Cindy gets (12-c) amount while others get 12 cookies.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

From the question, we are informed that Grandma baked 96 cookies

And there are 8 grandchildren available

To calculate the number of cookies each of them gets we have,

= 96 /8

= 12 cookies

This means each gets 12 cookies

But Cindy received fewer cookies with less C amount.

Therefore Cindy gets (12-c) amount while others get 12 cookies.

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Ben and greg go to the movies and purchase snacks. Ben purchases four cookies and two bottles of water for a total cost of 9.00. Greg purchases two cookies and two bottles of water for a total cost of 7.00. What is the total cost of a bottle of water?

Answers

Answer:

Good style in solving such problems is to notice/(to observe) immediately from the condition that the difference

   between two combinations is  the cost of 2 cookies,  and it is equal to  $9 - $7 = $2.   So  2 cookies cost  $2.

   Then subtracting $2 dollars for 2 cookies from the Greg purchase, you got the cost of two bottles - it is equal to  $7 - $2 = $5.

   Answer.  A bottle of water costs  $2.50.

Step-by-step explanation:

How many solutions exist for each system of equations?
x + 2y = –1
2x + 3y = 0

Answers

Answer:

2 solutions   x = 3 y = -2.

Step-by-step explanation:

x + 2y = –1

2x + 3y = 0

Multiply first equation by -2:

-2x - 4y = 2      Adding this to second equation:

       - y = 2

y = -2.

Plug this into first equation:

x - 4 = -1

x = 3.

39. The table shows the average U.S. crude oil imports in thousands of barrels per day.
(8 points total)
Determine the correlations coefficient, r, for a linear, exponential, and
quadratic model. Round to the 3 decimals places
Year
1930
Linear:
Exponential:
1940
1950
Quadratic:
1960
1970
1980
1990
Based on the correlation coefficient, which model is the best?
2000
Imports
170
117
487
1015
1324
5263
5894
9071

Answers

Answer:

2000 imports is the best i think

Use the following scenario to answer the question below:

You are deciding between two cars with different engines and want the bigger of the two. One engine displaces 350 cubic inches. The other displaces 5,500 cubic centimeters. How many significant figures do the values in this problem involve?

A. 4
B. 1
C. 3
D. 2

Answers

The bigger engine is about 235.5 cubic centimeters larger than the smaller engine.

We need the answer in cubic centimeters. So let's convert 350 cubic inches to cubic centimeters. We will do it unit conversion way (the long way).

We will write cubic inches as three inches side-by-side

350 in^3

What is the ratio of the centimeter?

This way, we can multiply this by the ratio of centimeters to inches [2.54 cm = 1 inch], so that the units cancel and we have cubic centimeters (what we desire).

350 in^3*3.54cm/1in*3.54cm/1in*3.54cm/1in

So, we can cancel the three inches top and bottom thus we have the answer in centimeters cubed. And the value is

350 in^3*3.54cm/1in*3.54cm/1in*3.54cm/1in.

350 in^3*3.54cm/1in*3.54cm/1in*3.54cm/1in=5735.47.

So 350 cubic inches is approximately 5735.5 cubic centimeters (rounded to 1 decimal place).

This is larger than a 5500 cubic centimeters engine.

5735.5-5500=235.5cubic centimeters.

The bigger engine is about 235.5 cubic centimeters larger than the smaller engine.

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Which recursive formula can be used to generate the sequence below, where f(1) = 3 and n ≥ 1? 3, –6, 12, –24, 48, … f (n 1) = –3 f(n ) f (n 1) = 3 f(n ) f (n 1) = –2 f(n ) f (n 1) = 2 f(n)

Answers

The recursive formula will be equal to f(n + 1) = –2 f(n).

The complete question is given below:-

Which recursive formula can be used to generate the sequence below, where f(1) = 3 and n ≥ 1?

3, –6, 12, –24, 48, …

f (n + 1) = –3 f(n )

f (n + 1) = 3 f(n )

f (n + 1) = –2 f(n )

f (n + 1) = 2 f(n)

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The recursive formula for this sequence is calculated as we will put the different values of n to find the values of the function in the series.

n  =  1

f(n) = 3

n = 2

f(2) = -2 (3) = -6

n = 3

f(3) = -2 (-6) = 12 and so on

Therefore the recursive formula will be equal to f(n + 1) = –2 f(n).

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The area of the garden was 2 2/5yd2. if the lrngth is 1 1/2 yd, find the width

Answers

The area of any quadrilateral can be determined by multiplying the length of its base by its height. Since we know the shape here is square, we know that all sides are of equal length. From this we can work backwards by taking the square root of the area to find the length of one side.
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