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3 years ago

12

5/11 as a equivalent fraction

2 answers:

Alika [10]3 years ago

8 0

Answer:

511 there are a lot more

Step-by-step explanation:

mr_godi [17]3 years ago

4 0

Answer: there are many equvialent fractions for 5/11 so heres a few

Step-by-step explanation: 5/11, 10/22, 15/33, 20/44, 25/55, 30/66, 35/77, 40/88, 45/99, 50/110, 55/121, 60/132, 65/143, 70/154, 75/165, 80/176, 85/187, 90/198, 95/209, 100/220

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The sum of three positive consecutive integers is 66. what are the three integers

vredina [299]

Answer: 21, 22, 23

Step-by-step explanation:

you divide 66 with 3, that equals 22, then you have three 22. Then you have to take 1 from one of the 22s and give it to the other one, making it 21, 22 and 23

7 0

4 years ago

a line whose perpendicular distance from the origin is 4 units and the slope of perpendicular is 2÷3. Find the equation of the l

GrogVix [38]

Answer:

$\huge\boxed{y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{2}{3}x+\dfrac{4\sqrt{13}}{3}}$

Step-by-step explanation:

The equation of a line:

$y=mx+b$

We have

$m=\dfrac{2}{3}$

substitute:

$y=\dfrac{2}{3}x+b$

The formula of a distance between a point and a line:

General form of a line:

$Ax+By+C=0$

Point:

$(x_0,\ y_0)$

Distance:

$d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+b^2}}$

Convert the equation:

$y=\dfrac{2}{3}x+b$ |<em>subtract $y$ from both sides</em>

$\dfrac{2}{3}x-y+b=0$ |<em>multiply both sides by 3</em>

$2x-3y+3b=0\to A=2,\ B=-3,\ C=3b$

Coordinates of the point:

$(0,\ 0)\to x_0=0,\ y_0=0$

substitute:

$d=4$

$4=\dfrac{|2\cdot0+(-3)\cdot0+3b|}{\sqrt{2^2+(-3)^2}}\\\\4=\dfrac{|3b|}{\sqrt{4+9}}$

$4=\dfrac{|3b|}{\sqrt{13}}\qquad|$ |<em>multiply both sides by $\sqrt{13}$ </em>

$4\sqrt{13}=|3b|\iff3b=-4\sqrt{13}\ \vee\ 3b=4\sqrt{13}$ |<em>divide both sides by 3</em>

$b=-\dfrac{4\sqrt{13}}{3}\ \vee\ b=\dfrac{4\sqrt{13}}{3}$

Finally:

$y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{4\sqrt{13}}{3}$

4 0

3 years ago

Solve 1/2x + 3 > 2(x-5/2)

Likurg_2 [28]

Answer:

1/4x (8 x - 15)

Step-by-step explanation:

write the division as a fraction

1/2x + 3/2x (x - 5 ÷ 2)

factor out 1/2 from the expression.

1/2x(x + 3(x - 5 ÷ 2))

divide the numbers.

1/2x(x + 3(x - 2.5))

distribute 3 through the parentheses.

1/2x(x + 3x - 7.5)

collect like terms.

1/2x(4x - 7.5)

1/2x(4x - 15/2)

factor out 1/2 from the expression.

1/2 x 1/2 x (8 x - 15)

multiply the fractions

= 1/4 x (8x - 15)

or alternative form

= 0.25(8x - 15)

6 0

3 years ago

Sami opened an account with a deposit of $4,000. The bank pays 3.5% annual simple interest on this account Sami did not make any

LiRa [457]

Answer: 15 months

Step-by-step explanation:

4 0

2 years ago

On Planet Galactica, common units of distance are alpha, beta, and gamma. 4 gammas equal 5 betas. 2 betas equal 3 alphas. How ma

siniylev [52]

Answer:

15/8 alphas = 1 gamma

Step-by-step explanation:

4 gammas = 5 beta

beta = 4/5 • gamma

2 betas = 3 alphas

beta = 3/2 • alpha

beta = beta

4/5 • gamma = 3/2 • alpha

multiply each side by 5/4

5/4 • 4/5 • gamma = 5/4 • 3/2 • alpha

gamma = 15/8 • alpha

5 0

3 years ago