A rectangular lawn 80 m x 60 m has two roads each 10m wide running in the middle of it, one parallel to the length and the other parallel to the breadth. Find the cost of gravelling them at ₹ 1.20 per sq meter.​

Answer:

tan(w)=opp/adj

tan(w)=12/5

=2.4

=3 ........ rownd

We know

[tex]\boxed{\sf tan\Theta=\dfrac{Perpendicular}{Base}}[/tex]

Now

[tex]\\ \sf\longmapsto tanW=\dfrac{XY}{XZ}[/tex]

[tex]\\ \sf\longmapsto tanW=\dfrac{12}{5}[/tex]

[tex]\\ \sf\longmapsto tanW=2.4[/tex]

Answer:

2^2 * 3^2 * 7

Step-by-step explanation:

Keep dividing by prime numbers:

2 ) 252

2)  126

3)    63

3)    21

        7

so 252 = 2*2*3*3*7

= 2^2 * 3^2 * 7

Answer:

answer is 121.5

Step-by-step explanation:

Answer:

121.5

Step-by-step explanation:

first make 13 1/2 into a mixed fraction which is 27/2 then multiply by 9/1 you should get 243/2 and once you divide, you should have 121.5

Answer:

12 miles

Step-by-step explanation:

Your car uses 1/12th of its entire gas to go a single mile. This means that you need to drive 12 miles to run out of gas.

Answer:

D) 12

Step-by-step explanation:

27:9=36:x

Well I'm assuming these 2 triangles are similar

Then

3:1=36:x

x=12

Answer:

Option D

Step-by-step explanation:

Since they are in proportion. So,

27 : 36 :: 9 : x

27 × x = 36 × 9

x = 36 × 9/27

x = 12 × 1

x = 12

The circumference of this circle to the nearest tenth is equal to 43.1 feet.

Given the following data:

To determine the circumference of this circle to the nearest tenth:

Mathematically, the circumference of a circle is given by the formula:

[tex]C = 2\pi r[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]C = 2 \times 3.14 \times 6.87[/tex]

Circumference = 43.1 feet.

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Answer:

50%

Step-by-step explanation:

Because you don't know the percentage, you can do 5/10, and you will get 1/2, or 0.5. 1/2 is 50%, so the answer would be 50%

Answer:

$200

Step-by-step explanation:

If the tax is 5%, then she pays $5 for every $100. If she paid $10 in tax, her purchase was $200.

Answer:

122 degrees

Step-by-step explanation:

Take the warmer temperature and subtract the colder temperature

82 - (-40)

82+40

122

The difference is 122

========================================================

Explanation:

Let x and y be two positive whole numbers. They may or may not be equal.

The first bag has the ratio of red to blue as 3:5, which scales up to 3x:5x after multiplying both parts by x. We have 3x red and 5x blue.

The second bag has the ratio 3:2 which scales up to 3y:2y. This bag has 3y red and 2y blue.

We can make a handy table to keep track of all the expressions

[tex]\begin{array}{|c|c|c|}\cline{1-3}\text{ } & \text{Red} & \text{Blue}\\ \cline{1-3}\text{bag 1} & 3x & 5x\\ \cline{1-3}\text{bag 2} & 3y & 2y\\ \cline{1-3}\end{array}[/tex]

Based on that, we can then say:

Effectively, I added down along each column of that table.

Divide the two expressions for R and B to lead to the fraction 11/9, which is directly from the ratio 11:9

So,

(total red)/(total blue) = 11/9

R/B = 11/9

(3x+3y)/(5x+2y) = 11/9

---------------------

Let's cross multiply and then solve for y

(3x+3y)/(5x+2y) = 11/9

9(3x+3y) = 11(5x+2y)

27x+27y = 55x+22y

27y-22y = 55x-27x

5y = 28x

y = 28x/5

y = (28/5)x

y = 5.6x

We'll keep this in mind for later.

---------------------

Now let:

Recall that we had 3x red and 5x blue for the first bag. That means we have 3x+5x = 8x marbles in the first bag. Therefore, F = 8x.

Also, we had 3y red and 2y blue for the second bag.

So we have S = 3y+2y = 5y

Then we can apply further substitution to say

S = 5y

S = 5(5.6x) .... plug in y = 5.6x

S = 28x

---------------------

In short,

for some positive whole number x. We don't have enough info to pin down what x is exactly; however, it doesn't really matter. This is because the x variable will cancel when dividing F over S

F/S = (8x)/(28x) = 8/28 = 2/7

The fraction 2/7 leads directly to the final answer of the ratio 2:7

In other words, the ratio 8x:28x simplifies fully to 2:7 after dividing both parts by 4x.

The ratio between the total marbles of the first bag and the second bag is 2:7.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

x marbles in the first bag.

red marbles = 3x

blue marbles = 5x

y marbles in the second bag.

red marbles = 3y

blue marbles = 2y

Now,

Total red marbles in both bags.

3x + 3y = 11 _____(1)

3x = 11 - 3y

x = (11 - 3y) / 3

Total blue marbles in both bags.

5x + 2y = 9 ______(2)

From (1) and (2) we get,

Multiply 2 in (1).

6x + 6y = 22

6y = 22 - 6x _____(3)

Multiply 3 in (2)

15x + 6y = 27 ______(4)

Putting (3) in (4)

15x + 22 - 6x = 27

9x = 27 - 22

9x = 5

x = 5/9

Now,

x = 5/9 in (3)

6y = 22 - 6(5/9)

6y = 22 - 10/3

6y = (66 - 10)/3

y = 56/18

y = 28/9

Now,

First bag.

Red marbles = 3x = 3 x 5/9 = 5/3

Blue marbles = 5x = 5 x 5/9 = 25/9

Total marbles = 5/3 + 25/9 = (15 + 25)/9 = 40/9

Second bag.

Red marbles = 3y = 3 x 28/9 = 28/3

Blue marbles = 2y = 2 x 28/9 = 56/9

Total marbles = 28/3 + 56/9 = (84 + 56)/9 = 140/9

Now,

The ratio between the total marbles of the first bag and the second bag.

= 40 :140

= 4:14

= 2:7

Thus,

The ratio is 2:7.

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Answer:

2.8 miles

Step-by-step explanation:

Speed of Rafael = 7 miles / 60 min = 7/60 miles/min

Time for next run = 24 min

Length of the next run = 7/60 miles/min *24 min = 2.8

Answer:

Step-by-step explanation:

Let's take two points on a line. (2,0) and (0,2).

Now, determine the rise and run.

Slope = Rise/Run

=> 2/2

Conclusion:

Therefore, the slope is 1.

Hoped this helped.

Answer:

5861698830

Step-by-step explanation:

The answer to your question is 1

Answer:

  (250, 150)

Step-by-step explanation:

The acreage cannot be negative, so choices A and C are eliminated. The sum of acreages cannot exceed 400, so choice D is eliminated.

Choice B has the allotted acreages total exactly 400, which is within the farmer's limit.

  (250, 150) is a viable solution

Hello :) Here is the step by step,

19c+1=39

Subtract 1 from both sides.

19c=39−1

Subtract 1 from 39 to get 38.

19c=38

Divide both sides by 19.

c=  19 /38

Divide 38 by 19 to get 2.

c=2

Answer:

[tex] - 4( - 4x - 5) = - 4 \times - 4x - ( - 4) \times ( - 5) \\ = 16x - 20[/tex]

Answer:

[tex]16x+20[/tex]

Step-by-step explanation:

[tex]-4(-4x-5)[/tex]

[tex]\mathrm{Multiply\:}-4\mathrm{\:to\:the\:values\:in\:the\:parenthesis}[/tex]

[tex]-4(-4x-5)[/tex]

[tex]-4\cdot-4=16[/tex]

[tex]-4\cdot-5=20[/tex]

[tex]=16x+20[/tex]

The  store is offering the best unit rate is  Grocery Store A.

The store with the lower unit rate offers the best rate. The unit rate is the total cost divided by the pound of bananas sold.

unit rate = cost / pounds

Unit rate of Grocery Store A: $0.75 / 12 = $0.0625

Unit rate of Grocery Store B: $3.75 / 5 = $0.75

Comparing the unit rates of both stores, Grocery Store A offers a lower unit rate.

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Answer:

2 grams

Step-by-step explanation:

50 years is 5 half lives as 1 half life is 10 years.

64 divide 2 = 32-1 half life

32 divide 2 =16-2nd half life

16 divide 2 = 8-3rd half life

8 divide 2 = 4-4th half life

4 divide 2 = 2-5th half life

This means we will have 2 grams left of the radioactive substance after 50 years.

a=20

b=30

c=20

d=75

e=30

f=2

The student purchase 12 pencils

If a math student goes to an office supply store and purchases a total of 16 spirals and pencils, then;

x + y = 16 .................. 1

If each spiral costs $3. 50, and each pencil costs $1. 25 and the student spent a total of $29, hence;

1.25x + 3.5y = 29 ................. 2

Solve both equations simultaneously

x + y = 16 .................. 1 * 1.25

1.25x + 3.5y = 29 ................. 2 * 1

__________________________________

1.25x + 1.25y =  20.

1.25x + 3.5y = 29

Subtract both equations

1.25y - 3.5y = 20 - 29

-2.25y = -9

y = 9/2.25

y = 4

Substitute y = 4 into equation 1:

x + y = 16

x = 16 - 4

x = 12

This means that the student purchase 12 pencils

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Answer:

90 pts.

Step-by-step explanation:

In general, you need to multiply the average points she got in each game by how many games she played.

So therefore you'd do:

18 x 5

= 90 pts.

Here,

(-1, 4) = (x₁ , y₁)

(-6, -5) = (x₂ , y₂)

Slope = rise/run

Slope = y₂ - y₁/x₂ - x₁

Slope = -5 - 4/ -6 + 1

Slope = -9/-5

Slope = 9/5

_____

Hope it helps ⚜

Answer:

maybe (-3,-4)?

Step-by-step explanation:

Answer:

  6x² -xy -35y²

Step-by-step explanation:

Use the distributive property, and combine terms.

  (2x +5y)(3x -7y) -2xy

  = 2x(3x -7y) +5y(3x -7y) -2xy

  = 6x² -14xy +15xy -35y² -2xy

  = 6x² +(-14 +15 -2)xy -35y²

  = 6x² -xy -35y²

Answer: where’s the question