A rectangular playground has an area of 3,162 square meters. If the width of the rectangle is 51 meters, find the length.

Answer:

44 cm

Step-by-step explanation:

You have to find the area of the bigger square and find the area of the smaller one. (Width x Height). Then subtract the smaller rectangle from the bigher one

Answer:

Step-by-step explanation:

Here you go mate

Step 1

14−3x<−1  Question

Step 2

14−3x<−1  Simplify

Step 3

14−3x<−1   Subtract 14 from sides

-3x<-15

Step 4

-3x<-15  Divide sides by -3

x>5

Answer

x>5

Hope this helped

Answer:

Step-by-step explanation:

I can help

Step 1

14−3x<−1  Simplify

Step 2

14−3x<−1  subtract 14 from the sides

-3x<-15

Step 3

-3x<-15  Divide the sides by 3

-3x/-3<-15/-3

Answer

x>5

Hope this helps

Answer:

60

Step-by-step explanation:

The computation of the rest of the marbles is given below:

Since there is 20 red and 15 white marbles

Also the 3 bags contains same marbles

So if he gives 45 marbles, so the remaining would be

= (20 + 15) × 3 - 45

= 35 × 3 - 45

= 105 - 45

= 60

Answer:

Step-by-step explanation:

5/7 = 12/y

5y = 84

y = 84/5

Answer:

Step-by-step explanation:

Somebody plays 30 times

L+W = 30, where L and W are number of losses and wins, respectively.

L = 30-W

Net after 30 plays is $6

2W - 1L = 6

2W - (30-W) = 6

3W = 36

W = 12

W = 18

17 wins

Answer:

Omar can buy a bunch of pairs of socks.

Step-by-step explanation:

u didnt give me an equation to solve

Answer:

At most of 7

Step-by-step explanation:

Answer:

x = 7.5

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

if you put 3 in the x it is now 3 but the x it is there with the 3 and do 3 with the 4.5 and then add them to each of them then you get your answer

Answer:

The answer is 41

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Let x be the number added to both numerator and denominator.

Initial fraction=7/17

After adding x to both the numerator and the denominator

Then ,we get fraction=3/5

We have to find the value of x.

According to question

[tex]\frac{7+x}{17+x}=\frac{3}{5}[/tex]

[tex]5(7+x)=3(17+x)[/tex]

[tex]35+5x=51+3x[/tex]

[tex]5x-3x=51-35[/tex]

[tex]2x=16[/tex]

[tex]x=\frac{16}{2}=8[/tex]

I believe that you would need to sell 65 shirts

Answer:

1/3 (Minimized) 2/6

Step-by-step explanation:

Answer:

= 1/x^2

Step-by-step explanation:

Possible derivation:

d/dx(-16 - 1/x + y)

Differentiate the sum term by term and factor out constants:

= d/dx(-16) - d/dx(1/x) + d/dx(y)

The derivative of -16 is zero:

= -(d/dx(1/x)) + d/dx(y) + 0

Simplify the expression:

= -(d/dx(1/x)) + d/dx(y)

Use the power rule, d/dx(x^n) = n x^(n - 1), where n = -1.

d/dx(1/x) = d/dx(x^(-1)) = -x^(-2):

= d/dx(y) - -1/x^2

Simplify the expression:

= 1/x^2 + d/dx(y)

The derivative of y is zero:

= 1/x^2 + 0

Simplify the expression:

Answer: = 1/x^2

Answer:

B

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 30² = 50²

x² + 900 = 2500 ( subtract 900 from both sides )

x² = 1600 ( take the square root of both sides )

x = [tex]\sqrt{1600}[/tex] = 40 → B

2 is 5% of 40

Hope it is useful

Answer:

Equal to

Step-by-step explanation:

14/18 is just 7/9 but with the numerator and denominator multiplied by 2

Answer:

equal to

Step-by-step explanation:

14/18 simplified is 7/9

so 7/9=7/9

Answer: 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. Elimination

2. zero solutions

0 ≠ 7

Given:

[tex]\Delta MAT\cong \Delta MHT[/tex] and [tex]m\angle 2=82^\circ[/tex].

To find:

Whether [tex]m\angle 1=47^\circ[/tex] is possible or not.

Solution:

We have,

[tex]\Delta MAT\cong \Delta MHT[/tex]

[tex]\angle AMT\cong \angle HMT[/tex]                      (CPCTC)

[tex]m\angle 3=m\angle 8[/tex]              ...(i)

And,

[tex]m\angle 1=m\angle 8[/tex]              ...(ii)        (Vertically opposite angles)

From (i) and (ii), we get

[tex]m\angle 1=m\angle 3[/tex]              ...(iii)

Now,

[tex]m\angle 1+m\angle 2+m\angle 3=180^\circ[/tex]          (Linear pair)

[tex]m\angle 1+82^\circ+m\angle 1=180^\circ[/tex]             (Using (iii))

[tex]2m\angle 1=180^\circ-82^\circ[/tex]

[tex]2m\angle 1=98^\circ[/tex]

Divide both sides by 2.

[tex]m\angle 1=\dfrac{98^\circ}{2}[/tex]

[tex]m\angle 1=49^\circ[/tex]

The measure of angle 1 is 49 degrees so it cannot be equal to 47 degrees.

Therefore, the required answer is "no", the given statement [tex]m\angle 1=47^\circ[/tex] is not possible.

The algebraic expression that represents the phrase "fourteen increased by a number" is 14 + y. which is the correct answer that would be an option (A).

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The given statement is "fourteen increased by a number"

According to the given question, translate the phrase into an algebraic expression:

⇒ 14 + y

This is because the phrase "increased by" means to add a certain number to 14.

The variable y represents the number that is being added to 14.

Thus, the algebraic expression that represents the phrase "fourteen increased by a number" is 14 + y.

Hence, the correct answer would be option (A).

Learn more about the algebraic expression here :

brainly.com/question/21751419

#SPJ2

Answer:

by using Pythagoras law

16²=(2x²)²+(2x²)²(since base angle of isosceles triangle is equal

16²=4x⁴+4x⁴

16²=16x⁴

16=x⁴

[tex]x = \sqrt[4]{16} [/tex]

x=2

PART A:

To find the rate of change, put change in y over change in x. In order to first find the changes, you must subtract two y values from each other and two x values from each other, like this:

Change in y = 20-10

Change in x = 4-2

Then you can put these over each other:

20-10/4-2

Then simplify

20-10/4-2 = 10/2 = 5/1 = 5

So, this means the rate of change is 5. $5 per bushel.

If you also need part B it would be helpful to see the other chart because it's hard to understand in the writing you included. :) Comment and let me know if you post it so I can help you out!

Part A: 7 dollars  

- The graph shows that 2 bushels is 14 dollars,  because the graph has a straight line, the rate remains constant you must divide the sides by two to find the amount for one bushel which would be 7 dollars.

- And to double check you would divide 28 by 4, 42 by 6, 56 by 8, 70 by 10, 84 by 11, and 98 by 12. they all equals 7 dollars So, the equation would be y = 7x.

- 7 can be known as the slope and  rate of change.

Part B:2 dollars

- The years before show 2 bushes was 10 dollars

-so you would divide 10 by two you would get five  To double check you would do the same thing with 20 by 4, 30 by 6 and 40 by 8, and they all equal 5 dollars.

-if you use this answer be sure to reword it so you dont get copy write and integrity. have a great day or night.

For the M1 angle, we can conclude the size of angle is 90°. Do the angle equation like this :

15x=90

x = 90/15

x = 6

Do the same thing in M2 :

Subtitute the x value to equation, then evaluate the value by using 90 because it's the same.

x+y=90

6+y=90

y=90-6

y=84

M3 value is same, 90°

9z=90

9z/9 = 90/9

z=10

Hope this helps

Answer:

Step-by-step explanation:

Let r be a multiplier.  Then 2r + 3r + 4r = 24, or

9r = 24, or r = 24/9 = 8/3

The three numbers are then (8/3)(2), (8/3)(3), (8/3)(4), and their sum is

(8/3)(2 + 3 + 4) = (8/3)(9) = 24.  But the problem tells us that!  Please check the wording of your question; something's not quite right there!

Answer:

1 mile

Step-by-step explanation:

1m =160934 cm