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3 years ago

2 or more equal ratios for 7/16

Mathematics

2 answers:

ivann1987 [24]3 years ago

5 0

This is a simple one just multiply the sides by the same number
14/32, 28/48

Dafna11 [192]3 years ago

3 0

Multiply both numerator and denominator by the same number.
14/32
21/48

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703 writen in expaned form

atroni [7]

703 is written in expanded form like this: 700+0+3 which equals 703

5 0

3 years ago

If you use 128m of fencing, what is the largest possible rectangular area you can enclose? What is

klasskru [66]

9514 1404 393

Answer:

largest: 1024 m²
smallest: 0 m²

Step-by-step explanation:

The largest rectangular area with a given perimeter is a square. Each side of the square will be 1/4 of the fence, or 32 m.

The largest enclosed area is (32 m)² = 1024 m².

The smallest area will be that of an enclosure consisting of a double-row of fence: 64 m long and 0 m wide.

The smallest enclosed area is (64 m)(0 m) = 0 m².

_____

"Whole numbers" include zero. If you want the lengths to be Natural numbers, then the smallest area will be 63 m long and 1 m wide, or 63 m².

7 0

3 years ago

Prime factorization of 9

uranmaximum [27]

Answer:

3*3

Step-by-step explanation:

9 is made up of 2 factors other than itself and 1

9: 3 * 3

1 is not consider a prime and 9 is a composite. So the answer is 3 * 3.

5 0

3 years ago

PLEASE HELP

Lemur [1.5K]

1. y=6

2. y=-12

Step-by-step explanation:

1) If y varies inversely as x, and y=3 as x = -2, find y for the x value of -1.

It is given that

y varies inversely as x

IT will be written as:

y∝1/x

Removing the proportionality symbol

y=k/x

Given

y=3 , x=-2

Putting the values

3=k/-2

k=3*-2 = -6

The equation will be:

y=-6/x

So,

When x=-1

$y=\frac{-6}{-1}\\y=6$

2) If y varies directly as x, and y=15 as x=-3, find y for the x value of 4

y is directly proportional to x

y∝x

y=kx

Given

y=15, x=-3

Putting the values

$y=kx\\15=-3k\\k=\frac{15}{-3}\\k=-5\\The\ equation\ will\ be:\\y=-3xNow,\\x=4\\y=-3(4)\\y=-12$

Hence,

1. y=6

2. y=-12

Keywords: Proportion, Variation

Learn more about proportion at:

#LearnwithBrainly

8 0

3 years ago

Abc daycare wants to build a fence to enclose a rectangular playground. the area of the playground is 910 square feet. the fence

Tatiana [17]

Given that the area of the playground is 910 square feet, let the length of the playground be x, then the width of the playground is given by $\frac{910}{x}$

Given that the fence along three of the sides costs $5 per foot and the fence along the fourth side, which will be made of brick, costs $15 per foot. Let the side with the brick fence be the side which measures x feet.

Then the cost for fencing the entire playground is given by

$C=5\left( \frac{910}{x} \right)+5x+5\left( \frac{910}{x} \right)+15x= \frac{9100}{x} +20x$

For, minimum cost,

$\frac{dC}{dx} =0 \\ \\ \Rightarrow- \frac{9100}{x^2} +20=0 \\ \\ \Rightarrow20x^2-9100=0 \\ \\ \Rightarrow x^2-455=0 \\ \\ \Rightarrow x=\pm\sqrt{455}$

But x can't be negative.

Therefore, the length of the brick fence that will minimize the cost of enclosing the playground is 21.33 feet.

3 0

4 years ago