500m of fencing is available to make 4 rectangular pens of identical shape. Find the dimensions that maximise the area of each pen if the plan is: (DIAGRAMS BELLOW)

Answer:

a; 3.45 * 10^3

b) 2.34 * 10^18

c) 80%

Step-by-step explanation:

a) 3450 in standard form

To write in standard form, we have to place a decimal at the back of the first non-zero number

we have this as ;

3.450

The count of numbers after the decimal point is 3

This will be the power to which 10 will be raised

We have this as;

3.45 * 10^3

b) 234 * 10^16

Let us write 234 in standard form

That will be;

234 = 2.34 * 10^2

So we have ;

2.34 * 10^2 * 10^16

Using the law of indices, we have;

2.34 * 10^(2 + 16) = 2.34 * 10^18

c) From the question, Kuwait is 4/5 of Hong kong’s population

Let Honk Kong’s population be x

4/5 * x = 2.4 million

4x = 5 * 2.4 million

x = 5 * 2.4/4

x = 5 * 0.6

x = 3 million

so writing the population of Kuwait as a percentage of that of Hong kong, we have

2.4/3 * 100%

= 0.8 * 100% = 80%

Answer:

A. Hundred millions.

Step-by-step explanation:

Growing up, the easiest method I've found in terms of finding which place a number is is as follows: change the number you're looking for into a 1, change everything after it into a 0, drop everything before it, and ask yourself what that number is. That may seem a little odd, but here's some examples.

Let's say we have the number 91,582. We want to figure out what place the 5 is in. First, let's change the 5 into a 1, like so: 91,182. Next, we'll change all the numbers afterwards into 0s, like so: 91,100. Finally, we'll drop every number before the 1, leaving us with 100. Now, ask yourself what that number is. It's one hundred. That means that the 5 is in the one hundreds place.

Let's apply this to our given number. First, let's go ahead and change our 6 into a 1: 7,114,118,872. Next, let's change all the numbers after the 1 into 0s: 7,100,000,000. Finally, let's drop all numbers before our 1: 100,000,000. Our final number is one hundred million. This means that the 6 is in the one hundred millions place. Please let me know if you have any questions!

Answer:

Jacoby is correct.

Step-by-step explanation:

Shop A= $6 ÷ 2 = $3/pound

Shop B= $15 ÷ 5 = $3/pound

Answer:

degree 3

Step-by-step explanation:

The degree of a polynomial is determined by the largest exponent of the term within the polynomial.

4x²y = 4x²[tex]y^{1}[/tex] ← with exponent 2 + 1 = 3

x² ← exponent 2

- 2y² ← exponent 2

The term with the largest exponent is 4x²y with exponent 3

Then the polynomial is of degree 3

Answer:

Step-by-step explanation (how to solve):

I hope this helps!

The value of x is 17

An equation between two variables that gives a straight line when plotted on a graph.

Given,

x represents a certain number

Number is multiplied by 3 = 3x

Adding 34 to the number = x+34

Given,

The number x is multiplied by 3 the result is the same as adding 34 to the number x​

Therefore

3x = x+34

3x-x =34

2x =34

x = 17

Hence, the value of x is 17

Learn more about Linear equation here

https://brainly.com/question/11897796

#SPJ2

Answer:

x = 25.46

Step-by-step explanation:

[tex]x^2+9^2=27^2\\x^2+81=729\\x^2=648\\\sqrt{x^2} =\sqrt{648} \\x=25.46[/tex]

Answer:

$7.23

Step-by-step explanation:

(2 x 2.49) + (3 x .75) = 4.98 + 2.25 = $7.23

Answer:

(7.04 / 4 = x) then x * 7

Step-by-step explanation:

x= 12.32

Answer: XVW=36

Step-by-step explanation:

The external angle of triangle is equal to the sum of the 2 opposite interior angles.

WXY is an external angle to the triangle and

XVW and VWX are the 2 opposite interior angles, thus

6x - 19 = +17+ 3x+2, that is

6x- 19 =4x +19 (Subtract 4x from both sides)

2x - 19 =19 (add 19 to both sides by 2)

x = 19

Hence

XVW = x + 17 = 19 + 17 = 36

Answer:

Find the area of each room and add the areas

Step-by-step explanation:

Please find the full question in the attached image

the area of rectangle is length x breadth. The area of each room would be found and the three areas would be added together

for example ,

dimension of room 1 = 5 x 3

dimension of room 2 = 2 x 3

dimension of room 3 = 4 x 5

area of room 1 = 15

area of room 2 = 6

area of room 3 = 20

total area = 15 + 6 + 20 = 41

Answer:

NO

Step-by-step explanation:

Either 3, 5 and 6 satisfy the Pythagorean Theorem or they do not.  Here we start with a^2 + b^2 = c^2 and substitute 6 for c (because 6 is the largest of the set):  Is 3^2 + 5^2 = 6^2?  9 + 25 = 36?  NO

Answer:

heart,lungs,oxygen i know i took a test like that before

Answer:

100 miles

Step-by-step explanation:

Given data

let the number of miles driven be x

and the total charge for x miles be y

Hence the expression for the total charge is

Rapid Rental Car

charges a $55.00 rental fee plus $0.25 per mile driven.

y= 55+0.25x--------------1

Capital Cars charges a $45.00 rental fee and $0.35 per mile driven.

y= 45+0.35x--------------2

Equate 1 and 2

55+0.25x= 45+0.35x

collect like terms

55-45=0.35x-0.25x

10=0.1x

x= 10/0.1

x= 100 miles

Hence the mile is 100 miles

Answer:

oh 5 x 6 = 30

Step-by-step explanation:

Hope this is helpful! Have an amazing night or day!

Answer:

$10.25

Step-by-step explanation:

Set up a system of equations, so 3c + 2m = 7 and 2c + 4m = 8, where c = the cost of coffees, and m = cost of muffins

To solve multiply the first equation by -2(3c + 2m=7) so you get -6c -4m = -14 now add the two equations

-6c - 4m = -14

2c + 4m = 8   notice that -6c + 2c = -4c and -4m + 4m cancels, then -14+8=-6

so we have -4c = -6 so c = $1.50

To solve for m, substitute c = 1.50 so 3(1.50) + 2m = 7, so solve for m so

4.5 + 2m = 7, 2m = 2.5, so m = $1.25

So now solve the final problem 6(1.50) + 1(1.25) = $10.25

Answer:

Leo's dad bought 4 bagels and 5 muffins.

Step-by-step explanation:

The total cost was 7.60, and had 9 items. I figured that the solution of           (__ x 0.9) needed to end with 60 cents.

4 x 0.9 = 3.6

5 x 0.8 = 4.0

3.6 + 4.0 = 7.60.

Total of 9 items, adding up to 7.60.

Answer:

34.41º

Step-by-step explanation:

0.93 times 9=8.37 degrees per minute

7 times 8.37=58.59

93-58.59=34.41

Answer: I would find that the anwser would be, It requires only ½ the effort to lift the load because there is more than 1 rope arm.

Step-by-step explanation

Just took a test on this, I passed

Answer:

There are 91 cookies in the package of cookies

Step-by-step explanation:

The given parameter for the number of cookies are;

The number of cookies left when eating 3 at a time = 1 cookie

The number of cookies left when eating 5 at a time = 1 cookie

The number of cookies left when eating 7 cookies at a time = No cookie leftover

Let 'n' represent the number of cookies in the pack, let 'a', 'b', and 'c' be the multiples of 3s, 5s, and 7s in 'n', respectively, we have;

The number of cookies in the pack, n < 100

Therefore, we have;

3·a = n - 1

5·b = n - 1

7·c = n

∴ n - 1 is a multiples of 3 and 5 less than 100 which are;

15, 30, 45, 60, 75, and 90

Therefore, the possible values of 'n' are'

n = n - 1 + 1 = 15 + 1 = 16, 30 + 1 = 31, 45 + 1 = 46, 60 + 1 = 61, 75 + 1 = 75, 90 + 1 = 91

Multiples of 7 includes;

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, and 98

Therefore, n = 91 which is the number that appear simultaneously in both search

The number of cookies in a package = 91 cookies

Answer:

x = 17

Step-by-step explanation:

corresponding interior angles are supplementary, meaning they have to add up to 180 degrees so

6x + 8 + 4x + 2 = 180°     then combine like terms ( 6x and 4x, 8 and 2 )

10x + 10 = 180         subtract 10 from both sides

        -10     -10

10x = 170            divide each side by 10

/10     /10

x = 17

Step-by-step explanation:

Given

-2 [4 - 3x] + 5x - 2

= - 8 + 6x + 5x - 2

= 11x - 10

Hope it will help :)❤

Answer:

11x-10

Step-by-step explanation:

-8+6x+5x-2

11x-10

Answer:

25%

Step-by-step explanation:

Add the amount of vehicles all together and since it is asking for vans, there are 5 vans out of the 25 total vehicles. So 5/25 is equal to .25

Answer:

There are 231 ;)

Step-by-step explanation:

Answer:

231:)

Step-by-step explanation:

Answer:

2x² - 5xy - 2y²

Step-by-step explanation:

Subtract x² + xy + y² from  3x² - 4xy - y² to obtain the expression to be added

3x² - 4xy - y² - (x² + xy + y² ) ← distribute by - 1

=3x² - 4xy - y² - x² - xy - y² ← collect like terms

= 2x² - 5xy - 2y²

Thus

adding 2x² - 5xy - 2y² to x² + xy + y² gives 3x² - 4xy - y²