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2 years ago

Complete this equation 2 2/3 +4/5= 40/? + 12/? = ?/?

Mathematics

1 answer:

OlgaM077 [116]2 years ago

6 0

Answer:(7/8 - 4/5)^2 = 9

1600

= 0.005625

Step-by-step explanation:

Subtract: 7

- 4

= 7 · 5

8 · 5

- 4 · 8

5 · 8

= 35

- 32

= 35 - 32

= 3

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(8, 5) = 40. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 5 = 40. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - seven eighths minus four fifths = three fortieths.

Exponentiation: the result of step No. 1 ^ 2 = (3

) ^ 2 = 32

402

= 9

1600

In words - three fortieths squared = nine one-thousand six-hundredths.

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6/8=y/16 how do you find the proportion of value y

Katarina [22]

You can set both fractions to have the same denominator by multiplying 6/8 (both the 6 and 8) by 2 to keep the value of the fraction, while turning the denominator to 16. So you get 12/16=y/16.
That means for the equation to be true y has to be 12.

Hope this helps!

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3 years ago

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Doss [256]

Answer:I feel bad

Step-by-step explanation:

3 0

2 years ago

What is the perimeter of the polygon defined by the points A(12, 20), B(20, 20), C(20, 8), and D(12, 8)? a 64 units b 144 units

Rzqust [24]

Answer:

d. 40 units

Step-by-step explanation:

The length of the horizontal side of this rectangle on the line y=20 is the difference of the x-coordinates, 12 and 20, so is 8. The length of the vertical side on the line x=20 is the difference of the y-coordinates, 20 and 8, so is 12.

Two sides are of length 8 and two are of length 12. The perimeter is the sum of the side lengths, so is ...

P = 2·8 +2·12 = 40 . . . units

3 0

2 years ago

The circumference of Circle K is pi. The circumference of Circle L is 4xpi.

dmitriy555 [2]

Answer:

Ratio of circumferences: $\displaystyle\frac{1}{4}$

Ratio of radii: $\displaystyle\frac{1}{4}$

Ratio of areas: $\displaystyle\frac{1}{16}$

Step-by-step explanation:

Hi there!

We are given:

- The circumference of Circle K is $\pi$

- The circumference of Circle L is $4\pi$

Therefore, the ratio of their circumferences would be:

$\displaystyle\frac{\pi}{4\pi}$ ⇒ $\displaystyle\frac{1}{4}$ when simplified

The formula for circumference is $C=2\pi r$ , where <em>r</em> is the radius. To find the ratio of the circles' radii, we must identify their radii through their given circumferences.

If the circumference of Circle K is $\pi$ , or $1\pi$ , then its radius is $\displaystyle\frac{1}{2}$ .

If the circumference of Circle L is $4\pi$ , then its radius is $\displaystyle\frac{4}{2}$ , which is 2.

Therefore the ratio their radii would be:

$\displaystyle\frac{\frac{1}{2}}{{2}}$ ⇒ $\displaystyle\frac{1}{2}*\frac{1}{2}$ ⇒ $\displaystyle\frac{1}{4}$ when simplified

The formula for area is:

$A=\pi r^2$

First, let's find the area of Circle K:

$A=\pi (\displaystyle\frac{1}{2})^2\\\\A=\displaystyle\frac{1}{4}\pi$

Now, let's find the area of Circle L:

$A=\pi (2)^2\\A = 4\pi$

Therefore, the ratio of their areas would be:

$\displaystyle\frac{\frac{1}{4}\pi}{4\pi}$ ⇒ $\displaystyle\frac{\frac{1}{4}}{4}$ ⇒ $\displaystyle\frac{1}{4} * \frac{1}{4}$ ⇒ $\displaystyle\frac{1}{16}$ when simplified

I hope this helps!

5 0

1 year ago

Write a pair of equivalent expressions using distributive property

bulgar [2K]

The distributive property "distributes" a number through all numbers/terms in a set of parentheses by multiplication.

EXAMPLES
Equivalent expressions are the first and last steps. The middle step just shows the work.

5(2 + 3x)= (5*2) + (5*3x)= 7 + 15x

4(2x + 4y)= (4*2x) + (4*4y)= 8x + 16y

10(4x + 5)= (10*4x) + (10*5)= 40x + 50

ANSWER:
Only one pair below is needed for your answer.

5(2 + 3x)= 7 + 15x

4(2x + 4y)= 8x + 16y

10(4x + 5)= 40x + 50

Hope this helps! :)

7 0

2 years ago