5. A car uses 10 litres of petrol in 75 km. How far will it go on 8 litres?​

Answers

Answer 1

Answer:

60km

Step-by-step explanation:

75/10=x/8

Solve For X

75*8=600,   600/10=60

THEREFORE

75/10=60/8

You could ALSO Divide 75 by 10, get 7.5, and multiply THAT by 8, as the car is assumed to have constant gas usage

Answer 2

Answer:

60km

Step-by-step explanation:

Let x represent the required distance.

Since the quantity of petrol is directly proportional to the distance:

x : 75 = 8 : 10

i.e.      [tex]\frac{x}{75}[/tex] = [tex]\frac{8}{10}[/tex]

           x = [tex]\frac{75 * 8}{10}[/tex]

           x = 60

∴ The distance is 60 km.

Hope this helps!!!


Related Questions

To determine the annual yield (rate of return) on an investment, divide the income from the investment for the year by the original amount invested. Look at the example. Then, calculate the annual yield for the other investment

Answers

Savings account: $4 / $200 = 0.02 x 100 = 2%

Bond: $85 / $1000 = 0.085 x 100 = 8.5%

Real Estate: $6,400 / $40,000 = 0.16 x 100 = 16%

Convert y = 8x^2-80x-32 to vertex form by completing the square. ​

Answers

Answer:

y = 8(x-5)^2 -232

Step-by-step explanation:

Factor out the 8 to get

y = 8(x^2-10x-4)

y = 8(x-5)^2 -232

Answer:

y = 8 (x - 5)^2 - 232

Step-by-step explanation:

Dividing the whole equation by 8, we get:

y = 8 (x^2 - 10x - 4)

y = 8 (x - 5)^2 - 232

Hope this helps!

not sure what this one is

Answers

Answer:

37

Step-by-step explanation:

If this is a regular hexagon, the sides have the same length

3y +19 = 6y+1

Subtract 3y from each side

3y+19-3y = 6y-3y+1

19 = 3y+1

Subtract 1 from each side

19-1 = 3y+1-1

18 = 3y

Divide each side by 3

18/3 = 3y/3

6 =y

ST = 6y+1

     =6*6+1

     =36+1

     = 37

Answer:

37 units

Step-by-step explanation:

sides are equal

3y+19=6y+1

3y= 18

y= 6

3y+19= 3*6+19= 37

QR=ST= 37 units

I need help please I need to get the right answer

Answers

Answer:

33

Step-by-step explanation:

djjsjskskskakakkaka

Jeanine Baker makes floral arrangements. She has 10 different cut flowers and plans to use 6 of them. How many different selections of the 6 flowers are​ possible?

Answers

Answer:

210 ways

Step-by-step explanation:

In the question, the combination should be computed.

Number of ways of selection 6 flowers = nCr =10C6

                                           [tex]\frac{n!}{r!(n-r)!}[/tex]  =[tex]\frac{10!}{ 6!(10-6)!}[/tex]

                                                        =3628800/17280

                                                       =210

Therefore, there are 210 ways in which 6 flowers can be selected from the available 10 flowers.

Answer:

Therefore, there are 210 ways in which 6 flowers can be selected from the available 10 flowers.

Step-by-step explanation:

explanation

Q3. Explain any one congruency Property with real world example

Answers

Symmetric property, a building having to be perfectly congruent on all of its sides and surfaces for it to stand.

Find the y-intercept of the following equation. Simplify your answer.

y
=
9
10
x
+
7
6


y-intercept =

Answers

Answer:

Brainliest!

Step-by-step explanation:

the equation is y=mx+b

the b part is the y-intercept

so in your equation... the y=intercept would be 7/6

someone please help me, I’m struggling :(

Answers

Answer:

constant because it isn't going up or down, just moving straight

Step-by-step explanation:

Answer:

constant

Step-by-step explanation:

Since this is a horizontal line the slope is zero

This means the graph is constant

what is (13X + 9k)+(17x +6k), simplified?

Answers

Answer:

(45x)

Step-by-step explanation:

(13x+9x) + (17x+6x)

(22x) + (23x)

(45x)

// have a great day //

it would be 45x. move all the x's to one side and add the variables

5x – 7y= 16 2 + 7y = 8.
what is x?

Answers

Answer:

x=45/6

Step-by-step explanation:

2+7y=8. 7y=8-2. 7y=6

7=7. y=6\7

insert the value of y in the second equation. 5x-7y=16

5x-7(6/7)=16

5x-49\6=16

collect the liketerms together

5x=16+49/6

5x=145/6(divide both sides by 5)

x=29/6

x=45/6

further.

confirm if the 2 in the second equation has an X coz the questions are normally set with both equations having both values x and y

find the value of x​

Answers

Answer:

x= -12

Step-by-step explanation:

∠2= (180°-36°)÷2 (base ∠s of isos. △)

∠2= 72°

m∠2= x +84

72= x +84

x= 72 -84

x= -12

Answer:

The value if x is -12.

Step-by-step explanation:

Given that isosceles triangle have a same pair of angle. So in order to find the angles, you have to subtract it from 180° and 36°.

[tex]θ + θ + 36 = 180[/tex]

[tex]2θ = 180 - 36[/tex]

[tex]2θ = 144[/tex]

[tex]θ = 144 \div 2[/tex]

[tex]θ = 72[/tex]

Next, the expression for ∠2 is x + 84 which is also 72°. So you have to solve it by comparing :

[tex]x + 84 = 72[/tex]

[tex]x = 72 - 84[/tex]

[tex]x = - 12[/tex]

A line has the equation y=x+3
What are the coordinates of the point where the line intersects the y and x axis?

Answers

Answer:

(0, 3 ) and (- 3, 0 )

Step-by-step explanation:

Where the line crosses the y- axis the x- coordinate is zero.

Substitute x = 0 into the equation and solve for y

y = 0 + 3 = 3

Thus the y- intercept is (0, 3 )

Where the line crosses the x- axis the y- coordinate is zero.

Substitute y = 0 into the equation and solve for x

0 = x + 3 ( subtract 3 from both sides )

- 3 = x

Thus the x- intercept is (- 3, 0 )

To make 100g of jam you need 19g of strawberries , 53g of blackberries and the rest should be sugar. what is the ratio of blackberries to sugar? give answer in simplest form.​

Answers

Answer:

53:19:28

Step-by-step explanation:

Answer:

53:28

Step-by-step explanation:

the mass of sugar= 100-(53+19)

=100-72

=28g

therefore: ratio of blackberries to sugar is

=53g/28g

=53:28


Factor the trinomial by grouping.
- 13x + 6 + 6x^2

Answers

Answer:

(2x-3)(3x-2)

Step-by-step explanation:

[tex]-13x+6+6x^2= \\\\6x^2-13x+6= \\\\6x^2-4x-9x+6= \\\\2x(3x-2)-3(3x-2)= \\\\(2x-3)(3x-2)[/tex]

Hope this helps!

Expand the expression: 3ln2x+lnx-ln17

Answers

Answer:

woops i dont know the answer

my bad this is payback

Step-by-step explanation:

Answer:

hey dude!

your answer is

33x-17

Step-by-step explanation:

you need to do 32x+x-17

hope this helps

pls put brainliest

What is the y-value when x equals -12.

Answers

Answer:

-128 it’s on the table

Step-by-step explanation:

HEY!HERE IS UR ANSWER:

So as x=-12

Well then y=-200-6(-12)

y=-200+72 {Positive 72 cause negative 6 * negative 12 equals positive 72}

y=-128

HOPE IT MAKES UR DAY BETTER!!

Pentagon A B C D E is reflected across the line of reflection m to pentagon A prime B prime C prime D prime E prime. Pentagon A prime B prime C prime D prime E prime is rotated about point C prime 180 degrees clockwise. Which rule describes the composition of transformations that maps figure ABCDE to figure A"B"C'D"E"? 90 degree rotation about point C prime composition reflected across line m Reflected across line m composition 90 degree rotation about point C prime 180 degree rotation about point C prime composition reflected across line m Reflected across line m composition 180 degree rotation about point C prim

Answers

Answer: It’s C i got it right on the test

Step-by-step explanation:

RC’ ,180 o r m

Answer:

It's C I got a 100 on the test

Step-by-step explanation:

A and B have to be wrong because there is no 90° rotation and D isn't right because it's backwards

Help which expression is equivalent to this one? cuhhhhh.....!!

Answers

Answer:

3^ 6

Step-by-step explanation:

3^-2 * 3^8

We know that a^b * a^c = a^(b+c)

3^(-2+8)

3^ 6

Answer: [tex]3^{6}[/tex]

Step-by-step explanation: Since these two powers have the same base of 3, we can multiply them together by adding their exponents.

So [tex]3^{-2}[/tex] [tex]x[/tex] [tex]3^{8}[/tex] is [tex]3^{6}[/tex].

This idea is called the product rule.

A) Complete the table of values for y= x^2 - 4x


Answers

Answer:

y = x² - 4x

x = -1 y = 5

x = 0 y = 0

x = 1 y = -3

x = 2 y = - 4

x = 3 y = - 3

x = 4 y = 0

x = 5 y = 5

Hope this helps.

The equivalent values to complete the table are 5, -1, -4 and 0

Given the function according to the table shown:

[tex]y= x^2 - 4x[/tex]

When x = -1

[tex]y= (-1)^2 - 4(-1)\\y=1+4\\y=5[/tex]

When x = 1

[tex]y= (1)^2 - 4(1)\\y=1-4\\y=-3[/tex]

When x = 2

[tex]y= (2)^2 - 4(2)\\y=4-8\\y=-4[/tex]

when x = 4

[tex]y= (4)^2 - 4(4)\\y=16-16\\y=0[/tex]

Hence the equivalent values to complete the table are 5, -1, -4 and 0

Learn more here: https://brainly.com/question/12229583

Work out 50 as a presentage of 10

Answers

Answer:

500%

Step-by-step explanation:

10= 100%

50= 5*10= 5*100%= 500%

Factor-2 out of -6x + 10

Answers

Answer:

3x - 5

Step-by-step explanation:

divide both numbers by -2

A farmer finds that if she plants 25 trees per acre, each tree will yield 41 bushels of fruit. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by 1 bushel. How many trees should she plant per acre to maximize her harvest?

Answers

Answer:

17

Step-by-step explanation:

Let F be the number of fruit per acre  

F = (25 + x) × (41 - x)  

F=1025 -25x + 41x -x²

F=-x²+16x+1025

The maximum yield is at the maximum of that expression, which is at

[tex]x=-\frac{b}{2a} =>-\frac{16}{-2\times1}[/tex]

x=8

So apparently she currently has far too many trees per acre. To get the maximum yield, she needs to reduce the number of trees per acre by 8.

So the number of trees per acre for maximum yield is 25-8 = 17.

Solve the following math problem using Roman numerals.

VII + X =

XIV
XVII
XV
XX

Answers

Answer:

XVII

Step-by-step explanation:

VII + X =

V = 5

I = 1

X = 10

5+1+1 + 10 = 17

XVII

what is the slope of the line shown below?

Answers

Answer:

Step-by-step explanation:

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

m=(-4-2)/(-1-2)

m=-6/-3

m=2

There are 24 students in Julie’s class. 6 of these students are boys. What percent of the class are boys

Answers

Answer:

25%

Step-by-step explanation:

Take the number of boys over the total

6/24

1/4

Change to a decimal

.25

Change to a percent

25%

whats the formula for area of an rectangle

Answers

Answer:

L (lengh) · W (width)

Step-by-step explanation:

Tp find the area of a rectangle, you always have to multiply the length by the width. You do this because there are individual little array-like squares that make up the area. You could just count the square units, but multiplying is faster.

Answer:

For Perimeter its  2times length + 2times width

and for Area its: length times width

Hope this helps :)

how to find X using pythagorean theorem if the other two sides are 10 and 8

Answers

Answer:

x= 13

Step-by-step explanation:

10*10+8*8=x2

100+64=x2

164=x2l

Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

Answers

Answer:

work is shown and pictured

urgent please help me!!!!

Answers

Answer:

D. both lines

Step-by-step explanation:

I am 100% sure! Please give brainiest!!!

Which of the following is a quadratic function?
1. f(x) = 0x^2 + 3x - 6
2. f(x) = 3 - 4x^2
3. f(x) = 2^x
4. f(x) = 2x + 5

Answers

the function of quadratic is number4

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