A motorcycle covers 315 km distance with 7 liters of petrol.
i)how many kilometres does it cover with 12 liters of petrol in the same mileage?
ii)how much petrol is needed to cover 270 km in the same mileage?​

Answer: √345600

Step-by-step explanation:

1st step: 10*6√96

2nd step: 60√96

3rd step:240√6

4th step (convert to radical form): √345600

there's your answer

WXYZ to JKLM

JM is equal to 9, ZW is 13.5, JK is 12, and WX is 18.

To obtain the coordinates of the other shape, multiply the original shape by the scale factor

What is the scale factor?

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller). For instance, we can increase the size of a rectangle with sides of 2 cm and 4 cm by multiplying each side by, let's say, 2.

13.5 / 9 = 1.5

9 * 1.5 = 13.5 \s12 * 1.5 = 18

You have a scale factor of 1.5. (because if u multiply 1.5 by the original shape, u get the new shape)

JKLM ~ WXYZ

So  JK ~  WX

So the scale factor  =  WX / JK

Scale Factor   =  18 / 12 =   3 / 2    =   1.5

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The answer will be in the picture provided below!

Answer: 16 glasses of milk

Step-by-step explanation: To find how many glasses can be filled with milk, we must know that this is a division problem. So, we divide 12 by 3/4 to get 16. When dividing, the answer will be greater than the number it is being divided by, because the reciprocal will be found, and it will be greater when multiplied. I hope this helped. Please mark brainliest (If can)

According to the BODMAS rule, the first step to solve the given expression is to solve the bracket.

Children can use the acronym BODMAS to help them remember the right order to carry out mathematical operations while solving problems.

B-Brackets, O-Orders (powers/exponents or roots), D-Division, M-Multiplication, A-Addition, and S-Subtraction are all abbreviated as BODMAS.

So, we have the expression: 3(3½ ÷ 3)-4

The next step would be according to the BODMAS rule.

In the BODMAS rule the letter B stand for brackets.

Hence, the first step will be to solve the bracket.

Therefore, according to the BODMAS rule, the first step to solve the given expression is to solve the bracket.

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Answer:

x = –4

Step-by-step explanation:

y = –2x + 8

16 = –2x + 8

2x = 8 – 16

2x = –8

x = –4

The triangles consist in rectangles ΔABD and ΔCDB are congruent triangles.

Given that,
To prove  ΔABD ≅ ΔCDB.

In congruent geometry, the shapes that are so identical. can be superimposed on themselves.

Here,
consider ΔABD and ΔCDB
1. AB = CD   [opposite sides of a rectangle]
2. ∠A = ∠C   [each angle of the rectangle is 90°]
3. AD = BC    [opposite sides of a rectangle]
ΔABD ≅ ΔCDB

Thus, Both triangles ΔABD ≅ ΔCDB are congruent triangles, hence proved.

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The value of missing side length(m) in ΔQRS is 15 cm.

How to solve the sides of triangle?

ΔABC ~ ΔQRS

The sides of the triangle will be in equal ration of one another.

i.e., AB/AC = QR/QS

3/1 = m / 5

m = 15 cm

Hence, The value of missing side length(m) in ΔQRS is 15 cm.

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Answer:

9x³+8x²-3x-11

Step-by-step explanation:

1. You can move sections around throughout the equation.

^Note: Be sure to keep the same signs (either positive or negative) for each section.

In this problem, the sections are (-3x), (8x²), (-11), and (9x³).

^Note: I kept the subtraction/negative sign

2. Rearrange the exponents in order from largest to smallest in the equation.

largest 9x³ +8x² -3x -11 smallest

^Note: -3x has an exponent of 1

The coordinates of the centroid of triangle DEF with the vertices (0,4) (6,6), and (2,2) is calculated as: (8/3, 4).

The formula for finding the coordinates of the centroid of a triangle is given as:

C(x, y) = [tex]( \frac{(x1+x2+x3)}{3}, ( \frac{(y1+y2+y3)}{3})[/tex].

Given the vertices of triangle DEF as follows:

D (0, 4) = [tex](x_1, y_1)[/tex]

E (6, 6) = [tex](x_2, y_2)[/tex]

F (2, 2) = [tex](x_3, y_3)[/tex]

Substitute the values into the centroid formula to find the coordinates:

C(x, y) = [(0 + 6 + 2)/3, (4 + 6 + 2)/3]

C(x, y) = (8/3, 12/3)

C(x, y) = (8/3, 4)

Therefore, the centroid has the coordinates that are calculated as: (8/3, 4).

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Answer:

The two teachers are 13 feet apart

Step-by-step explanation:

Right Triangles

Ava, her math teacher, and her science teacher form a right triangle in which she is at the 90° vertex.

The distances from the three people must satisfy the Pythagora's theorem, where the distance between the two teachers (D) is the hypotenuse, thus:

D = 13 feet

Step-by-step explanation:

Answer:

5 6/7 or C option

Step-by-step explanation:

5 6/7 is equal to 5.857 and rounded it is 6

While all the others round to 5

Hopes this helps please mark brainliest

One hose can fill a small swimming pool in 75 minutes. Two hoses will fill the pool in 30 minutes when working together.

Given, the volume ( the space occupied by an solid object)  per minute

Smaller hose fills  the pool in 75 minutes. (1/75)

A larger one can fill the pool in 50 minutes. (1/50)

So, together they will fill = (1/ 75 ) + (1/50) , the lcm of 75 and 50 is 150

                                            =  (2/150) + (3/150)  

                                            =  5/150

                                            = 1/30 or 30 minutes

So, we can say that the two hoses will fill the pool in 30 minutes when working together.

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The required product of the given product numeral is -1536. Option C is correct.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
=  (−16)(−4)(−24)
= 64(-24)
= -1536

Thus, the required product of the given product numeral is -1536. Option C is correct.

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The perimeter of the figure is 5.0.

What is a perimeter?

The perimeter of a two-dimensional shape is the distance around the outside of the shape. It is the sum of the lengths of all the sides of the shape. For example, the perimeter of a rectangle is the sum of the lengths of all four sides. The perimeter of a triangle is the sum of the lengths of all three sides.

To reflect a point across the line y=x, we can use the following formula:

(x', y') = (y, x)

Where (x', y') is the reflected point and (x, y) is the original point.

Using this formula, we can find the coordinates of the reflected points A' and B':

A' = (4, 4) -> (4, 4) -> (4, 4)

B' = (5, -1) -> (-1, 5) -> (-1, 5)

Therefore, the image of AB is A'B' with endpoints A'(4, 4) and B'(-1, 5).

To find the perimeter of the figure formed by the segments AB, B'B, and A'B', we can add up the lengths of these three segments. The length of AB can be found using the distance formula:

[tex]AB = \sqrt{((5-4)^2 + (-1-4)^2)}\\\\= \sqrt{(1^2 + (-5)^2)}\\\\= \sqrt{(1 + 25)}\\\\= \sqrt{26}[/tex]

The length of B'B can be found using the same formula:

[tex]B'B = \sqrt{((-1-(-1))^2 + (5-5)^2)}\\\\= \sqrt{(0^2 + 0^2)}\\\\= 0[/tex]

The length of A'B' can also be found using the distance formula:

[tex]A'B' = \sqrt{((-1-4)^2 + (5-4)^2)}\\\\= \sqrt{(-5)^2 + (1)^2}\\\\= \sqrt{25 + 1}\\\\= \sqrt{26}[/tex]

The perimeter of the figure is AB + B'B + A'B' = √26 + 0 + √26 = 2√26. To the nearest tenth, this is 5.0.

Hence, the perimeter of the figure is 5.0.

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Whereas students from single parent or two parent homes make up 54% of new students, these students eventually go on to complete their college studies..

By dividing the value by the entire value and multiplying the result by 100, one can compute the percentage. The formula for calculating percentage is (value/total value)100%.When a piece of a whole is stated as a percentage, it is not a fraction but rather a number between 0 and 100. There are three percentages: 100% for everything, 50% for half of it, and 0% for the remaining portion.

calculation

25% of new students come from one-parent households, which equals 0.25;

75% of new students come from two-parent households, which is 0.75.

42% of incoming students from homes with only one parent go on to complete their college studies = 0. 42

58 percent of incoming students who come from two-parent households go on to complete their education =0.58

= 0.25 * 0.42 + 0.75 * 0.58 = 0.54 = 54%.

Whereas students from single parent or two parent homes make up 54% of new students, these students eventually go on to complete their college studies..

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Answer:

18

Step-by-step explanation:

for the first one, 2(5+1)+10=22

for the second one, 2(6+4)+10=30

using the same concept, 2(3+1)+10=18

?=18

im not sure if im right or not lol

Answer:630

Step-by-step explanation:

Answer:

79.2Million?

Step-by-step explanation:

hope this helps

The value of the angle m ∠ DAB in the parallelogram is 128 degrees

In a given parallelogram, the opposite sides and angles are equal to one another.

In the question given;

m∠ ABC = 3x + 1

m∠ BCD = 8x - 8

m∠ DAB = ?

m ∠ ABC + m∠ BCD = 180°

The sum of the two angles is equal to 180 degrees

3x + 1 + 8x - 8 = 180

11x - 7 = 180

11x = 187

x = 17

However, m∠ DAB = m∠ BCD

Two opposite angles are equal

m∠ DAB = 8x - 8

m ∠ DAB = 8(17) - 8

m ∠ DAB = 128 degrees

The angle is 128 degrees

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Hello,

The slope-intercept form of a linear equation is:

y = mx + b

where m is the slope of the line and b is the y-intercept, which is the point where the line crosses the y-axis.

To write the equation of the line with slope m = -1 that passes through the point (4, 5), you can use the point-slope form of a linear equation, which is:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line and m is the slope of the line. Plugging in the values, we get:

y - 5 = -1(x - 4)

This simplifies to:

y - 5 = -x + 4

Finally, we can rearrange the terms to put the equation in slope-intercept form:

y = -x + 9

This is the equation of the line with slope m = -1 that passes through the point (4, 5).

---

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Happy Holidays!

By evaluating the function in x = -2, we will get:

f(-2) = -2

To do that, we need to evaluate the given linear equation:

f(x) = -x - 4

We want to find f(-2), so we need to evaluate the linear equation in x = -2, this means that we just need to replace the variable by the corresponding number.

Then we will get:

f(-2) = -(-2) - 4

f(-2) = +2 - 4

f(-2) = -2

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The A ∩ B ∩ C = {0}, if  A = {1,3,5,7,9,11}, B = {2,4,6,8,12} and C = {5,10,15,20}.

Any group of objects (elements) in mathematics and logic, whether they are mathematical (such as numbers and functions), is referred to as a set.

Given:

Set A = {1,3,5,7,9,11},

B = {2,4,6,8,12},

C = {5,10,15,20}

Calculate the A ∩ B ∩ C by the formula given below,

A ∩ B ∩ C = {0}

As there is nothing common between sets A, B, and C.

Therefore, A ∩ B ∩ C = {0}.

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Check the picture below.

Answer:

  205.03125

Step-by-step explanation:

You want the 8th term of the sequence that begins 12, 18, 27, ....

The first differences of the given terms are ...

  18 -12 = 6

  27 -18 = 9

These are not constant, so the sequence is not an arithmetic sequence.

The ratios of sequential terms are ...

  18/12 = 1.5

  27/8 = 1.5

These are constant, suggesting the sequence is an exponential sequence. The equation for the n-th term is ...

  an = 12(1.5^(n-1))

Then the 8th term is ...

  a8 = 12(1.5^7) = 205.03125

__

Additional comment

The sequence could be quadratic if the second differences are all 9-6=3. In that case, the equation for the n-th term is ...

  an = 1.5n(n +1) +9

and the 8th term is ...

  a8 = 1.5·8(8+1) +9 = 117

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A diagram is provided, on which R S T U's perimeter is 72 and R V's is 16, RT= 32  and UV ≈ 8.2.

A diagram is provided, on which R S T U's perimeter is 72 and R V's is 16.

Finding R T and U V is our goal.

First, let's assume that the figure RSTU is a rhombus since its perimeter and one-half of a diagonal's length are both provided. RT is the result of adding the segments RV and VT.

RT=RV + VT

We are informed that the RV is sixteen. If RV and VT are congruent, then V T equals 16. So:

R T = 16 + 16 = 32

In order to determine the UV length, we must first determine the RU length. Since a rhombus's sides are the same length, we can divide its perimeter by four to determine

RU= Perimeter/ 4

If we simplify and replace Perimeter with 72, we get:

RU = 72 / 4

RU =18

Since UB is a member of the right triangle RUV created by the intersection of the diagonals, we can now use the Pythagorean theorem to determine its length. So:

U V²+ R V² =  RU²

If R V = 16 and R U = 18, we obtain:

U V² + 16 ²= 18²

By way of summary, we have:

U V² + 256 = 324

U V² + 256 − 256 = 324 − 256

√ UV = √ 68

UV = 8.2462

UV ≈ 8.2

Our recommendations are as follows:

RT= 32

UV ≈ 8.2.

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The perimeter of the equilateral polygon with the given vertices is given as follows:

40 units.

The perimeter of a polygon is composed by the sum of the lengths of the outer edges of the figure.

From the figure given at the end of the answer, the parameters for the polygon with these given vertices are given as follows:

Then, considering the 8 side lengths and the fact that they measure 5 inches, the perimeter of the polygon is given as follows:

Perimeter = 8 x 5 = 40 units.

(sum of 8 times the number 5 is equals to the multiplication of eight by five).

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Solving the given equation, we calculate the value of x to be 10.369

An equation is a mathematical statement that shows that two expressions are equal. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

Simplification is the process of reducing an expression or equation to its simplest form by applying the rules of algebra. Simplifying procedures is one way to achieve uniformity in work efforts, expenses, and time. It reduces diversity and variety that is pointless, harmful, or unnecessary.

By isolating the variable x and using calculator, we find the answer = 10.369.

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The mid term is 2,Accordingly, if n is even, there will only be one middle term, and if n is odd, there will be two middle terms.  

Explanation:

2x - 4 + 3x + 2 = 2(2x+4)

The mid term is 2.

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it is the 1st graph.

Graph A.