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3 years ago

Can someone please help!!!!!

Mathematics

1 answer:

Artist 52 [7]3 years ago

3 0

Answer:

The answer is 10%

Step-by-step explanation:

Let the length of the rectangle is x

Let the width of the rectangle is y

∵ They will increase by 10% each

∴ The new length = x × 110/100 = 1.1x

∴ The new width = y × 110/100 = 1.1y

∵ The old perimeter = 2(x + y) = (2x + 2y)

∴ The new perimeter = 2(1.1x + 1.1y) = 1.1(2x +2y)

∴ The new perimeter is greater than the old perimeter by 1.1 - 1 = 0.1

∴ The percentage of increasing in the perimeter = 0.1 × 100 = 10%

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Two lighthouses flash their lights every 20 seconds and 30 seconds respectively. Given that they flash together at 8 p.m, when w

Free_Kalibri [48]

One minute later at 8:01pm. One lighthouse will flash 3 times (at 20, 40 and 60 seconds)...the other will flash twice (at 30 and 60 seconds). So they will both flash 60 seconds later, at 8:01

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3 years ago

Write an equivalent expression<br><br> -3 + 2/3y - 4 - 1/3y

aliina [53]

Answer:

join the y-related together and the others together

ie -7+1/3y

thats the shortest form one can drill down to, so that should be the answer

Step-by-step explanation:

5 0

3 years ago

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 2 small boxes has a t

nikdorinn [45]

Each large box weighs 15 kilograms and each small box weighs 13.5 kilograms.

Step-by-step explanation:

Let,

Weight of large box = x

Weight of small box = y

According to given statement;

5x+2y=102 Eqn 1

3x+8y=153 Eqn 2

Multiyplying Eqn 1 by 4

$4(5x+2y=102)\\20x+8y=408\ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$(20x+8y)-(3x+8y)=408-153\\20x+8y-3x-8y=255\\17x=255$

Dividing both sides by 17

$\frac{17x}{17}=\frac{255}{17}\\x=15$

Putting x=15 in Eqn 2

$15(3)+8y=153\\45+8y=153\\8y=153-45\\8y=108$

Dividing both sides by 8

$\frac{8y}{8}=\frac{108}{8}\\y=13.5$

Each large box weighs 15 kilograms and each small box weighs 13.5 kilograms.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

4 0

4 years ago

The area of a rectangular painting is 5/8 square yard. The width is 3/4 yard. What is the length of the painting?

vfiekz [6]

Answer:

The answer is

<h2> $\frac{5}{6} \: \: \: \: yards \\$ </h2>

Step-by-step explanation:

Area of a rectangle = length × width

Since we are finding the length of the rectangle

$length = \frac{area}{width} \\$

From the question

area = 5/8 square yards

width = 3/4 yard

So we have

$length = \frac{5}{8} \div \frac{3}{4} \\ = \frac{5}{8} \times \frac{4}{3} \\ = \frac{5}{2} \times \frac{1}{3}$

We have the final answer as

$\frac{5}{6} \: \: \: \: yards \\$

Hope this helps you

3 0

3 years ago

A rectangular parking area measuring 5000 ft squared is to be enclosed on three sides using chain-link fencing that costs $5.5

kaheart [24]

Answer:

Dimensions: 75.3778 ft and 66.3325 ft

Minimum price: $1658.31

Step-by-step explanation:

Let's call the length of the parking area 'x', and the width 'y'.

Then, we can write the following equations:

-> Area of the park:

x * y = 5000

-> Price of the fences:

P = 2*x*5.5 + y*5.5 + y*7

P = 11*x + 12.5*y

From the first equation, we have that y = 5000/x

Using this value in the equation for P, we have:

P = 11*x + 12.5*5000/x = 11*x + 62500/x

To find the minimum of this function, we need to take its derivative and then make it equal to zero:

dP/dx = 11 - 62500/x^2 = 0

x^2 = 65000/11

x = 250/sqrt(11) = 75.3778 ft

This is the x value that gives the minimum cost.

Now, finding y and P, we have:

x*y = 5000

y = 5000/75.3778 = 66.3325

P = 11*x + 62500/x = $1658.31

5 0

4 years ago