A taxi driver filled his car petrol tank with 54 litres of petrol on Saturday. On Sunday he filled his tank with 64 litres of petrol. If the petrol costs Rs.82 per litre, how much did he spend on petrol?

Answer:

f(x) = -1/2x² + 3/2x - 2

f(0) = (-1/2 × 0²) + (3/2 × 0) - 2

f(0) = 0 + 0 - 2

f(0) = -2

THANK YOU!!( ◜‿◝ )♡

Answer:

515 x + 285 y = 11080

x + y = 30

Step-by-step explanation:

Answer:

4071.5 in^2

Step-by-step explanation:

The surface area of a sphere of radius r is A = 4πr²

In this case, with r = 18 in, A = 4π(18 in)² = 4071.5 in²

A box's volume equals [tex]135.25cm^{3}[/tex] the length (2x + 5) cm and breadth x cm of the base of an open rectangular box.

The area occupied within an object's three-dimensional bounds is referred to as its volume. The basic formula for volume is length, width, and height, as opposed to the basic formula for the area of a rectangular shape, which is length, breadth, and height. No matter how you refer to the various dimensions, the calculation remains the same. It is sometimes referred to as the vessel's "capacity" or "volume." infant milk bottle with milliliter measuring indications and juice bottle with a 1 liter capacity.

given

Calculate the box's volume and provide your answer in units.

Due to the fact that x = 4.28, the remaining sides are 2x + 5 = 2(4.28) + 5 = 13.56

and x - 2 = 4.28 -2 = 2.28.

We are aware that volume is calculated as follows: 13.56 (4.28) ( 2.28 )

=[tex]135.25cm^{3}[/tex]

A box's volume equals [tex]135.25cm^{3}[/tex] the length (2x + 5) cm and breadth x cm of the base of an open rectangular box.

To know more about volume visit :-

https://brainly.com/question/1578538

#SPJ1

Answer:

1.6285

Step-by-step explanation:

28 = 4/5x-8

Cross multiply

140x-224=4

140x =224+4

140x = 228

x = 228/140

x = 1.6285

The length of the fencing that the city needs to surround the park will be 380.50 yards.

Assume L is the length and W is the width. Then the area is given as,

A = L × W

And the perimeter is given as,

P = 2(L + W)

The city of vine View is building a new rectangular park for the townspeople. The park will have an area of 8,925 square yards if the width of the park is to be 84 yards. Then the length of the rectangular park is calculated as,

8925 = L × 84

L = 106.25 years

Then the length of the fencing that the city needs to surround the park will be given as,

P = 2(106.25 + 84)

P = 2 × 190.25

P = 380.5 yards

The length of the fencing that the city needs to surround the park will be 380.50 yards.

More about the area and perimeter of the rectangle link is given below.

https://brainly.com/question/16572231

#SPJ1

Answer:

9 in.

Step-by-step explanation:

the sum of two sides in a triangle is always longer than the 3rd side. so 9 is the only answer that fits this condition.

Answer:

D. shows (6,9)

Step-by-step explanation:

(6,9)

x. y

x=6, y=9

if you are looking for the missing angle then C=58*

if you are looking for the missing sides then you might need to ask someone else

y < 4/5x - 1/5 ,y > -4/5x + 1/5, y < 2x + 6, y > 2x + 6 are all in slope-intercept form

The slope intercept form in math is one of the forms used to calculate the equation of a straight line, given the slope of the line and intercept it forms with the y-axis. The slope intercept form is given as, y = mx + b, where 'm' is the slope of the straight line and 'b' is the y-intercept.

so the given equation are also in the form of slope intercept form

y < 4/5x - 1/5

y > -4/5x + 1/5

y < 2x + 6

y > 2x + 6

are all in slope-intercept form (y = mx + b) where m is the slope and b is the y-intercept.

To learn more about slope intercept form visit-

brainly.com/question/29146348

#SPJ4

The value of tan 1 is  45 degree.

tangent is the trigonometric ratio.

we can find out the value of tangent by taking opposite side of the theta angle divided by the adjacent side of the theta angle.

tan Q = perpendicular of triangle /base of triangle.

sine theta divided by cos theta gives the value of tan theta.

tan Q = sin Q/ cos Q.

some formula of the tan Q are as follows,

1- tan Q = sin Q/cos Q

2- tan Q= 1 /cot Q

3-tan^2 Q =sec^2 Q -1

4- tan(90 - Q)=cot Q

5- tan (Q+π)=tan Q

6- tan (π-Q)=-tan Q

Learn more about Trigonometry here:-

https://brainly.com/question/29002217

#SPJ4

The measure of x = 5, in the given diagram of a trapezoid.

A trapezoid is a four-sided shape with one parallel pair of sides. It is essentially a two-dimensional shape or figure similar to a square, rectangle, or parallelogram. As a result, this shape, like other shapes, has a perimeter and an area.

When two parallel lines are intersected by a transversal, the pair of interior angles on the same side of the transversal are supplementary.

Therefore, ∠D + ∠E = 180°

17x - 10 + 21x = 180°

38x − 10 = 180°

38x = 180° + 10

38x = 190

x = 190/38

x = 5

Thus, The measure of x = 5, in the given diagram of a trapezoid.

Learn more about trapezoid

https://brainly.com/question/8643562

#SPJ1

The value of YZ = 2 units.

The Latin words "col" and "linear" are combined to form the word "colinear." "Col" stands for "together," and "Linear" is a line. Collinear points are hence points that are situated along a single line. Numerous instances of collinearity can be observed in daily life, such as a line of pupils standing together.

Given X, Y, and Z are collinear. Y is between X and Z.

so XY + YZ = XZ

given XY = 12 units and XZ = 14 units

XY + YZ = XZ

12 + YZ = 14

YZ = 14 - 12

YZ = 2 units

Hence measure of YZ is 2 units.

Learn more about collinear points;

https://brainly.com/question/1593959

#SPJ1

Answer:

109 took physics and 392 took Trigonometry

Step-by-step explanation:

Answer:

potato paste recipe for the same recipe as it has made

Step-by-step explanation:

French fry

If at least one of $y_1, y_2$ is nonzero, then $\frac{y_2}{y_1}$ = $\frac{1}{4}$

If x is directly proportional to y, we can write this as x = ky for some constant k.

Since $\frac{x_1}{x_2} = 4$, we can write it as $x_1 = 4x_2$.

Now, substituting the value of $x_1$ in equation x = ky gives

$4x_2 = ky_1$.

Also, since x = ky, we can write $x_2 = ky_2$.

Now, we can substitute the value of $x_2$ in the equation $4x_2 = ky_1$

So, $4ky_2=ky_1$, which gives $\frac{y_2}{y_1} = \frac{1}{4}$

Therefore, $\frac{y_2}{y_1}$ = $\frac{1}{4}$ when x is directly proportional to y and $\frac{x_1}{x_2} = 4$.

To learn more about direct proportion:

https://brainly.com/question/28908934

#SPJ4

It divides by three. According to the law of divisibility for three, a number is fully divisible by three if its digit sum is likewise divisible by three.

The divisibility rule is a clear and useful method for determining if an integer is divisible by a given set of divisors without actually doing division, sometimes simply looking at the integer's digits. The divisibility test allows you to rapidly determine if a given integer can be divided by a specified divisor without actually doing the division process. The quotient must be an integer and the remainder must be zero when dividing two numbers precisely.

here  

add all the numbers,

326 = 3+2+6 = 11

so it is not divisible by 3

327 = 3+ 2 + 7 = 12

so it is divisible by 3

To know more about divisibility test visit:

brainly.com/question/240581

#SPJ1

To calculate log 10 on a calculator, you will typically use the "log" button. Depending on the type of calculator, you may need to enter the number 10 first, then hit the "log" button.

For example, if using a standard scientific calculator, you would enter 10, then hit the "log" button. On some calculators, you may need to hit the "10x" button first before hitting the "log" button.  On some graphing calculators, you may need to use the "log base" button. When using this button, you would enter 10 as the base and the number you are trying to calculate the log of.

In some cases, you may need to use the "ln" (natural log) button instead of the "log" button. In this case, you would need to use the conversion formula of "ln x = 2.303 log 10 x" to get the desired number.  Finally, some calculators may have an "antilog" button. This button will calculate the inverse of the logarithm or the power of 10 of a given number. To use this button, you would enter the number, then press the antilog button.

To  know more about the log refer to the  link  brainly.com/question/28596588

#SPJ4

The numbers are sort from least to greatest as 0, 1/13, 49/100, 8/9, 1/2, 1, 11/10

A fraction can be defined as the part of a whole number, variable or element.

There are several types of fractions, some of which includes;

From the information given, we have the fractions;

0, 1, 1/2, 8/9, 49/100, 11/10, 1/13

To arrange the values from least to greatest, we have to divide the fractions and find their decimal forms, we have;

1/2 = 0.5

8/9 = 0.89

49/100 = 0.49

11/10 = 1.1

1/13 = 0. 08

However, the arrangement is 0, 1/13, 49/100, 8/9, 1/2, 1, 11/10

Learn more about fractions here:

https://brainly.com/question/78672

#SPJ1

Answer:

38

Step-by-step explanation:

4*9 1/2=38

Hand written explanation:

4*9=36

4*1/2=4/2=2

36+2=38

Answer:

the answer is actually 38 that is the correct answer for this particular question it's saved 4 * 9 and a half and the answer is 38

The price that maximize the profit is $10 or $22.

What is maximum profit?

In economics, profit maximization is the short run or long run process by which a firm may determine the price, input and output levels that will lead to the highest possible total profit.

Given:

f(p) = -50p^2 + 1600p - 11000

Now to find velocity point

[tex]-\frac{b}{2a} = \frac{-1600}{2(-50)} = \frac{1600}{100} = 16[/tex]

So for the price p = 16 that generates maximum profit.

Now

f(16) = -50(16)^2 + 1600(16) - 11000 = 1800

The maximum profit is 1800.

At breakeven, f(p) = 0

So,

[tex]-50p^2 + 1600p - 11000 = 0\\p = \frac{-1600 + -\sqrt{(1600)^2 - 4(-50)(-11000)} }{2(-50)} \\p = \frac{-1600 + - \sqrt{2560000 - 2200000} }{-100} \\p = \frac{-1600+-\sqrt{360000} }{-100} \\p = \frac{-1600+-600}{100}\\ p = 10, 22[/tex]

So p = $10   or  p = $22

Hence, the price that maximize the profit is $10 or $22.

To know more about maximum profit, click on the link

https://brainly.com/question/15697949

#SPJ4

Answer:

785.4

Step-by-step explanation:

1335.18-549.78 = 785.4

Answer:

785.4

Step-by-step explanation:

The volume of the original is 549.77871cm^2

The volume after the height increase is 1335.17688cm^2

1335.17688 - 549.77871 = 785.39817

I don't know how much to round it to but I'll go tenths ig

785.4

The equation of line is given by y = 13.45x - 7.95 where the slope of the line is m = 13.45 and y is the weight in kilograms , x is the number of months

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

The weight in kilograms = y

The number of months = x

Let the first point be represented as P = P ( 11 , 140 )

Let the second point be represented as Q = Q ( 1 , 5.5 )

Now , the slope of the line is given by

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 140 - 5.5 ) / ( 11 - 1 )

Slope m = 134.5 / 10

Slope m = 13.45

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 140 = 13.45 ( x - 11 )

On simplifying the equation , we get

y - 140 = 13.45x - 147.95

Adding 140 on both sides of the equation , we get

y = 13.45x - 7.95

when x = 11 months

y = 13.45 ( 11 ) - 7.95

y = 147.95 - 7.95

y = 140 kilograms

Therefore , the value of A is y = 13.45x - 7.95

Hence , the equation is y = 13.45x - 7.95

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ1

Answer:

9 is yes.

5 is no

12 is no

8 is no

Answer:

50

Step-by-step explanation:

mean = sum of observations / number of observations

sum of observations = 30 x 7 = 210

saturdays attendance = 210 - (54 + 29 + 22 + 28 + 12 + 15) = 50

Answer:

Range and Domain= all real numbers

positive infinity to negative infinity

Step-by-step explanation:

Answer:

Histograms subdivide data into intervals (bins), and use rectangles (usually columns) to show the frequency (count) of observations in each interval. ... Dot plots include ALL values from the data set, with one dot for each occurrence of an observed value from the set.

Step-by-step explanation:

histogram-Analyzing whether a process can meet the customer's requirements. Analyzing what the output from a supplier's process looks like. Seeing whether a process change has occurred from one time period to another. Determining whether the outputs of two or more processes are different.

Dot plots are used for continuous, quantitative, univariate data. Data points may be labelled if there are few of them. Dot plots are one of the simplest statistical plots, and are suitable for small to moderate sized data sets. They are useful for highlighting clusters and gaps, as well as outliers.