MATHEMATICS HIGH SCHOOL

The surface area covered by a rectangular playground is 200 yards. The width of the playground is twice as long as it's length. Using factors, find the length and the width of the playground

Answers

Answer 1
Answer:

Answer:

The length is 10 yards and the width is 20 yards of the playground.

Step-by-step explanation:

Given,

Area of the rectangular playground = 200 yards.

Solution,

Let the length of the playground be x.

Then the width of the playground is 2x.

Now, According to the formula of area of rectangle;

Area\ of\ rectangle =length* width

On substituting the values, we get;

x* 2x=200\n\n2x^2=200\n\nx^2=(200)/(2)=100\n\nx^2=100\n\nx=√(100)\n\nx=10\ yards\n

So the length of the playground is 10 yards.

Since the width is twice of the length.

So width = 2x=2* 10=20\ yards

Hence the length is 10 yards and the width is 20 yards of the playground.

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A cab charges $1.45 for the flat fee and $0.55 for each mile. Write and solve an inequality to determine how many miles Ariel can travel if she has $35 to spend. $1.45 + $0.55x ≥ $35; x ≥ 61 miles $1.45 + $0.55x ≤ $35; x ≤ 61 miles $0.55 + $1.45x ≥ $35; x ≥ 23 miles $0.55 + $1.45x ≤ $35; x ≤ 23 miles
Solve for a. You must write your answer in fully simplified form -14 = 4a
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Given the perimeter of a rectangle and either the length or​ width, find the unknown measurement using the appropriate formula.The perimeter is 70ft . and the width is 16ft .
Please help solve x^2-2x-4=0

Choose the equation of the vertical line passing through the point (−4, 2).y = −4

x = −4

y = 2

x = 2

Answers

Answer:

Equation would be  x = - 4 .

Step-by-step explanation:

Given :  vertical line passing through the point (−4, 2).

To find : Choose the equation of the vertical line .

Solution : We have given that  point (−4, 2).

We know that vertical line always passes through the x axis .

Here, line passes through at x = -4  which has no slope .

Therefore , equation would be  x = - 4 .
Vertical line has no slope. so only look at the x value. x=-4.

5x+12= -13 (find the x)

Answers

The answer is negative 5 because you subtract 12 from each side to get 5x=-25 and -25 divided by 5 is negative 5
Hey, Jamylovesdonuts!
5x+12=-13
5x=-13-12
5x=-25
x=-5
I hope this helps;)

URGENT!! PLEASE help and don’t link files!!! Find Surface Area of triangular shown.
(If you can please explain, thank you!!)

Answers

Answer:336cm cube

Step-by-step explanation:

12x4x7 i think im  justlearning this to

If you increase the width of a rectangle, then the perimeter will increase. True or false?

Answers

True because you would have to add the sides to get the perimeter. 

Hi I just need help finding x in this math equation:x/2 + x/4 = 12
Also please explain. Thanks!

Answers

x/2 +x/4 =12
(1/2+1/4)x= 12
3/4x =12
by multiple both sides by 4/3
so x = 16
x/2 + x/4 = 12
Find the LCD, which is 4.
2x/4 + x/4 = 12
3x/4 = 12
Multiply both sides by 4 to remove the fraction.
3x/4 • 4 = 12 • 4
3x = 48
To find x, divide both sides by the coefficient of x, which is 3.
3x/3 = 48/3
x = 16

Check:
16/2 + 16/4 = 12
2(16)/4 + 16/4 = 12
32/4 + 16/4 = 12
8 + 4 = 12
12 = 12

Thus, the answer to x is 16.

Sandra wants 1/6 of the fruit in her fruit baskets to be bananas. If the greatest number of fruit that will fit in each basket is 24 what fraction can represent the possible ways Sandra can have the bananas in the fruit baskets? Explain your answer.

Answers

If the total capacity of the basket is 24 to find 1/6 you divide 24 by 6 and get 4. 4 is equal to 1/6 of 24 which means Sandra can only bring 4 bananas.
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