A car can travel 480 miles on a full tank of petrol. The tank holds 60 litres. A driver fills the tank and sets off on a journey.How many litres of petrol will be left when the car has travelled 360 miles?

without calculator

Answers

Answer 1

Answer:

After travelling 360 miles, 15 litres of petrol will be left.

Step-by-step explanation:

If a car can travel 480 miles with a full tank of 60 liters of petrol, it could be said that each liter of petrol allows to travel 8 miles (480/60 = 8). Therefore, since the driver has driven his car for 360 miles, his tank has spent 45 liters of petrol (360/8 = 45). In conclusion, given that the tank has a capacity of 60 liters and that it was full at the time of departure, having spent 45 liters, 15 liters remain in the tank.


Related Questions

Find z1z2 if z1 = 3(cos37° + isin37°) and z2 = 2/3(cos53° + isin53°).

Answers

Answer:

[tex]z_{1}\cdot z_{2} = 2\cdot (\cos 90^{\circ} + i \cdot \sin 90^{\circ})[/tex]

Step-by-step explanation:

Both variable can be rewritten into polar form:

[tex]z_{1} = 3\cdot e^{i\cdot 0.205\pi}[/tex] and [tex]z_{2} = \frac{2}{3}\cdot e^{i\cdot 0.294\pi}[/tex]

The complex product is equal to:

[tex]z_{1}\cdot z_{2} = (3)\cdot \left(\frac{2}{3}) \cdot e^{i\cdot (0.205\pi+0.294\pi)}[/tex]

[tex]z_{1}\cdot z_{2} = 2 \cdot e^{i\cdot 0.499\pi}}[/tex]

The resultant expression in rectangular form is:

[tex]z_{1}\cdot z_{2} = 2\cdot (\cos 90^{\circ} + i \cdot \sin 90^{\circ})[/tex]

Answer:

The correct question is:

Find [tex]z_{1}.z_{2}[/tex] if [tex]z_{1}= 3(cos37 + isin37)[/tex] and [tex]z_{2}= \frac{2}{3} (cos53 + isin53)[/tex].

(Note: the angles mentioned in the equations above are in degrees)

The answer is [tex]z_{1}.z_{2}= 2i[/tex]

Step-by-step explanation:

[tex]z_{1}.z_{2}= 3(cos37 + isin37)* \frac{2}{3} (cos53 + isin53)[/tex]

[tex]z_{1}.z_{2}= (3cos37 + 3isin37)* (\frac{2}{3} cos53 + \frac{2}{3}isin53)[/tex]

[tex]z_{1}.z_{2}= 3cos37*\frac{2}{3} cos53 + 3cos37*\frac{2}{3}isin53+3isin37*\frac{2}{3} cos53+3isin37*\frac{2}{3}isin53[/tex]

[tex]z_{1}.z_{2}= 0.961+1.275i+0.724i-0.961[/tex] (Because [tex]i*i=i^{2}=-1[/tex] & [tex]i=\sqrt{-1}[/tex])

[tex]z_{1}.z_{2}= 0.961+1.275i+0.724i-0.961[/tex]

[tex]z_{1}.z_{2}= 2i[/tex]

how many thousands make 5crore​

Answers

Answer:

50,000 thousands make a crore.

Step-by-step explanation:

One crore (1,00,00,000) is equal to one hundred lakh (10,000 × 1,000). Thus, 10,000 thousands make a crore.

What are the solutions to the equation (x − 21)2 = 25?

Answers

Answer:x=7 x=-3

Step-by-step explanation:

(x-2)^2=25

Take the Square root of both sides

(x-2)=±√(25)

x-2=±5

x=2±5

x=2+5 or x=2-5

x=7 or x=-3

The solution for the given equation is x=26 and x=16.

The given equation is (x − 21)² = 25.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The solution for the given equation can be determined as follows:

(x − 21)² = 25

⇒ (x − 21)=±√25

⇒ (x − 21)=±5

⇒ x=±5+21

⇒ x=5+21 and x=-5+21

⇒ x=26 and x=16

Therefore, the solution for the given equation is x=26 and x=16.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ6

Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

Answer:

B and E

Step-by-step explanation:

2x²-7x+3=0

2x²-x-6x-3=0

x(2x-1)-3(2x-1)=0

(x-3)(2x-1)=0

x=3 or x=1/2

Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

Answer:

x = -3  ±sqrt(27)

Step-by-step explanation:

x^2 +6x = 18

Take the coefficient of x

6

Divide by 2

6/2 =3

Square it

3^2 = 9

Add this to each side

x^2 +6x+9 = 18+9

6/2 or 3 is what is inside the (x+   )^2 on the left

(x+3) ^2 = 27

Take the square root of each side

sqrt((x+3) ^2) = ±sqrt(27)

x+3 = ±sqrt(27)

Subtract 3 from each side

x+3-3 = -3  ±sqrt(27)

x = -3  ±sqrt(27)

Solve (3x+7)=4x for x

Answers

Answer:

x=7

Step-by-step explanation:

(3x+7)=4x

Subtract 3x from each side

(3x+7) -3x=4x-3x

7 = x

Which of the following is the image of C after a rotation of 180° about the origin?
A. (-5,2)
B. (-5, -2)
C. (-2,5)

Answers

Answer:

A: (-5,2)

Step-by-step explanation:

algebraically, a 180 rotation about the origin switches the original coordinates of (x,y) to (-x,-y), so the answer would be (-5,2) after plugging the numbers into this formula





Consider that point A is reflected across the x-axis. What is the distance between point A and the point of its reflection?

Answers

Answer:

It would be 2 x the absolute value of the y coordinate.

Step-by-step explanation:

Example:

(5,-3)

Absolute value of y-coordinate is 3 and distance would equal 2 x 3 = 6 units apart.

[ Cuiu be made.
There are 24 boys for every 36 girls (24:36 ratio)
There are
boys for every
girls
try
Type in an equivalent ratio of boys and girls.

Answers

Answer:

24/36 = 12 x 2/12 x 3 = 2/3.

Step-by-step explanation:

I will make you the brainliest if you can help me with my geometry homework.​

Answers

Answer:

  SAS

Step-by-step explanation:

Sides WV and XV on either side of angle WVX have been shown to be congruent to their corresponding parts. When you're concerned with a Side, Angle, and Side in that geometrical sequence, the SAS theorem is applicable.

Find the​ mean, median, and mode of the​ data, if possible. If any of these measures cannot be found or a measure does not represent the center of the​ data, explain why. The cholesterol levels of a sample of 10 female employees are listed below. 130130 145145 215215 170170 165165 225225 240240 185185 130130 132132 What is the mean cholesterol​ level? Select the correct choice below and fill in any answer box to complete your choice. A. The mean cholesterol level is nothing. ​(Round to one decimal place as​ needed.) B. There is no mean score.

Answers

Answer:

The mean cholesterol levels

= 173873.7

Step-by-step explanation:

For The mean

The mean is going to be sum of the numbers divide by the number

Mean = (130130 +145145+ 215215 +170170+ 165165 +225225+ 240240 +185185+ 130130 +132132 )/10

Mean =1738737/10

= 173873.7

For Median

Wee arrange ascending order

130130, 130130, 132132, 145145, 165165, 170170, 185185, 215215, 225225, 240240

Median = (165165+170170)/2

Median = 335335/2

Median = 167667.5

Mode = 130130

The manufacturer of pencils spends $0.05 to make each pencil and sells them for
0.25. The manufacturer also has fixed costs each month of $2000. Find the cost function C when x pencils are manufactured.

Answers

Answer: C(x) = 2000+ 0.05 x

Step-by-step explanation:

Hi, to answer this question we simply have to apply the next formula:

Cost (C) = fixed cost + (cost per pencil x number of pencils)

Since:

Fixed cost: $2000

Cost per pencil : $0.05

Replacing with the values given:

C(x) = 2000+ 0.05 x

Where x is the number of pencils manufactured.

Feel free to ask for more if needed or if you did not understand something.


Elliot is simplifying a radical. His work is shown


Which statement best applies to Elliot's mathematical work?
A. The equality V64 = 4.16 is incorrect or invalid.
B. Removing the 4 from under the radial in the second step is incorrect or invalid
C. The work shown above is correct; however, 2V16 can be simplified further.
D. The work shown above is correct; and 2V16 cannot be simplified further

Answers

Answer:

  C. correct, but can be further simplified

Step-by-step explanation:

Elliot's work is correct, but he apparently failed to recognize that 64 = 8². The radical could be simplified to ...

  √64 = 8

Answer:

c

Step-by-step explanation:

got it right

HELP PLEASE, 10 points


The diameter of the hemisphere is 16 inches. What is the total surface area of the hemisphere?


Round to the nearest whole number.

Answers

Answer:

Step-by-step explanation:

d = 16 cm

r =16/2= 8 cm

Total surface area = 3πr² cubic units

= 3 * 3.14 * 8 * 8

= 602.88

= 603 cm²

Jenny has saved $600 from her summer job. During the school year, she withdraws $20 from her account every week for her daily expenses. She
wants to keep more than $300 in the account for college. The number of weeks, w, that Jenny can withdraw money from her account is
represented by the inequality 600 – 20w> 300. How many weeks can Jenny continue to withdraw $20 from her account?
A.
14
B.
17
O C.
20
D.
22

Answers

Answer:

A

Step-by-step explanation:

since she wants to keep 300 in her account first you would subtract 300 from 600 to get 300. Then you would divide it by 20 to get 15 so your answer would be a because she want's to keep at least 300 in her account.

What is the slope for the linear function y=3x-4

Answers

Answer:

3

Step-by-step explanation:

This is written in the form

y= mx+b

where m is the slope and b is the y intercept

3 is the slope and -4 is the y intercept

10% of 20% of 30% is equal to?

Answers

Answer:

The final percent would be (10/100) x (20/100) x (30/100) =  0.006 = 0.6%

Answer:3/500

Step-by-step explanation:

10% of 20% of 30%

10/100 of 20/100 of 30/100

1/10 x 1/5 x 3/10

(1x1x3)/(10x5x10)

3/500

Which expression represents a factorization of 32m + 56mp ?

Answers

Answer:

8m(4 + 7p)

Step-by-step explanation:

Take out the greatest common factor:

8m(4 + 7p)

a rectangular rug measures 8 feet long and 12 feet wide . what is the area of the rug​

Answers

Answer:

96 square feet

Step-by-step explanation:

Area= length x width

So for the rug it would be 12x8

12x8=96

The stem-and-leaf plot below shows the number of pages each student in a class read the previous evening.

A stem and leaf plot showing the movie length in minutes shown. The stems from top to bottom are 0, 1, 2, 3, 4, 5. The first column of leaves is 0, 2, 2, 3, 2, 7. The second column of leaves is 0, 3, 4, 5, 4, blank. The third column of leaves is 5, 5, 6, 6, 6, blank, blank. The fourth column of leaves is 8, 8, 7, blank, blank, blank. The fifth column of leaves is blank, 8, 7, blank, blank, blank. The sixth column of leaves is blank, 9, 7, blank, blank, blank.

Which statement is true about the data set?
Its median is greater than its mode.
It has a range of 52 pages.
The value of the first quartile is 13.
The data is symmetric.

Answers

Answer:

The value of the first quartile is 13.

Step-by-step explanation:

0    0 0 5 8

1     2 3 5 8 8 9

2    2 4 6 7 7 7

3    3 5 6

4    2 4 6

5    7

Its median is greater than its mode.

median is 12th data point = 24  mode = 27  false

It has a range of 52 pages.  

range is largest minus smallest = 57-0 = 57  false

The value of the first quartile is 13.

There are 11 data points 11/2 = 5.5 = 1st quartile is 6th data point = 13

The data is symmetric.

it is not symmetric

Answer:

C) The value of the first quartile is 13.

Step-by-step explanation:

Put in order from greatest to svllems 12 1/2, 12.09,. 12 2/5,12.8

Answers

Answer:

12.8

12 1/2

12 2/5

12.09

Two math students were asked to write an exeponential growth equations that had a starting value of 300 and a growth rate of 2%. Pierre thinks the answer is y=300(1.02)^x and Scott thinks that the answer is y=300(1.2)^x. Are either of them right and why?

Answers

Answer:

Pierre is right.

Step-by-step explanation:

A growth rate of 2% means that the values is increasing by 0.02 each year so the multiplying factor is 1.02.

Pierre is correct y = 300(1.02)^x.

Scotts  answer 1.2 = a growth rate of 20%.

In the figure below, which term best describes point T?

Answers

Answer:

A

Step-by-step explanation:

In a certain Algebra 2 class of 25 students, 5 of them play basketball and 10 of them play baseball. There are 12 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?

Answers

Answer:

Probability of students who plays both baseball and basketball is [tex]\frac{2}{25}[/tex]

Step-by-step explanation:

We have given total number of students = 25

5 of them play basket ball 10 of them plays base ball

there are 12 students who neither play baseball nor basket ball

So the number of students who play either baseball or basketball is

[tex]n(A\cup B)=25-12=13[/tex], here A is for basketball and B is for baseball.

From set theory we know that

[tex]n(A\cup B)=n(A)+n(B)-n(A\cap B)[/tex]

[tex]13=5+10-n(A\cap B)[/tex]

[tex]n(A\cap B)=2[/tex]

Therefore there are two students who play both baseball and basketball

Probability is equal to [tex]=\frac{2}{25}[/tex]

Let a = 60. What is the value of a ÷ 5? equation

Answers

Answer:

12

Step-by-step explanation:

Just substitute 60 for a and divide it by 5

Ta Da!!

Which is the simplified form of m ^-8 p^0

Answers

Answer:

Step-by-step explanation:

m−^8p^0

=1/m^8

NEED HELP GEOMETRY ASAP

1. What is the circumference, in inches, of the circular base of the conical hat? Round to the nearest tenth.


2. You want to cover the top of the hat with fabric. What is the surface area, in square inches, that you will cover? (Do not include the base of the cone) Round to the nearest square inch.

Answers

Answer:

1. The circumference of the circular base of the conical hat is 52.36 inches

2. The surface area of the cone that needs to be covered is  262 in.²

Step-by-step explanation:

Here we have that the given parameters are;

Diameter, D of circular = 20 in. = 2 × radius R, of the circle

R = 10 in.

Cut out section of cut out sector of circle = 60°

Therefore, circumference of the circular base = π×D×(360 - 60)/360 which gives;

The circumference of the circular base of the conical hat = π×20×(30)/36 = π·50/3 = 52.36 in.

Therefore, the radius of the formed cone = π·50/3/(2·π) = 25/3 = [tex]8\tfrac{1}{3}[/tex] = 8.33 in.

The formed cone satisfies the equation;

R² = h² + r²

Where:

h = Height of the cone

r = radius of the cone

∴ 10² = h² + 8.33²

∴ h² = 10² - 8.33² = 30.56 in.

The lateral surface area of the cone = π×r×l where l = R, we therefore have;

The lateral surface area of the cone = π×8.33×10 = [tex]\pi \cdot 8\tfrac{1}{3}[/tex] = 261.8 in.² = 262 in.².

The surface area of the cone that needs to be covered = The lateral surface area of the cone = 262 in.².

Math Help!!! ASAP!! I will give you brainliest!!

Answers

Answer:

Step-by-step explanation:

true true false

16. The local hiking club went on a 7-day hiking trip to Denali National
Park. The group started with 98 pounds and returned with no food.
If the decreasing amount of food each day is modeled by a linear
function, what is the slope of the line?

Answers

Answer:

The slope of the line is 14 pounds per day

Step-by-step explanation:

We are given that The local hiking club went on a 7-day hiking trip to Denali National  Park.

The group started with 98 pounds

We are also given that the decreasing amount of food each day is modeled by a linear  function

On Day 1  amount of food = 98 pounds

Since day 7 was the last day

So, On Day 8 amount of food = 0

So,[tex](x_1,y_1)=(1,98)[/tex]

[tex](x_2,y_2)=(8,0)[/tex]

Slope = Constant Rate of change per unit

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}=\frac{0-98}{8-1}[/tex]

So, Slope =[tex]\frac{-98}{7}[/tex]

Slope = - 14

Negative sign shows decreasing amount of food each day

Hence the slope of the line is 14 pounds per day

Tony rounded 1,143 and 1,149

Answers

Answer:

1140 and 1150

Step-by-step explanation:

If your rounding to the tens place.

The rule for rounding is to look at the digit before the one you want to round to.

So if you want to round to the nearest tens, then look at the ones.

If the digit is 0-4 round down. If 5-9 round up.

1143 rounds to 1140 because of the 3

and 1149 rounds to 1150 because of the 9.

Answer:

1200  and 1100

Step-by-step explanation:

Tony rounded each of the numbers 1183 and 1145 to the nearest hundred.

To round the number to nearest hundred , check the digit in tens place.

If the number in tens place is greater than or equal to 5 then we add 1 in hundreds place

If the number in tens place is less than 5 then we replace the remaining digits by 0

In 1183, we have 8 in tens place so 1183 is rounded to 1200

In 1145, we have 4 in tens place so 1145 is rounded to 1100

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