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kirza4 [7]
3 years ago
9

One half Of a certain even integer plus One fifth Of The next consecutive even interger equals 48. Find The two intergers.

Mathematics
1 answer:
yaroslaw [1]3 years ago
8 0
The integers are 68 and 70.

One half of 68 is 34.
One fifth of 70 is 14.
34 + 14 = 48 and 68 and 70 are consecutive even integers.
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Simplify the expression: 2(4 + 6j)
aniked [119]

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{8 + 12j}}}}}

Step-by-step explanation:

\sf{2(4 + 6j)}

Distribute 2 through the parentheses

\longrightarrow{ \sf{2 \times 4  + 2 \times 6j}}

\longrightarrow{ \sf{8  + 12j}}

Hope I helped!

Best regards! :D

8 0
3 years ago
What is an equation for the line with slope 2/3 and 7-intercept 9? 30 points to whoever answers this correctly and gets brainlie
Annette [7]

The equation of the line is y = \frac{2}{3} x + 9

Step-by-step explanation:

The equation of a line in slope-intercept form is y = m x + b, where

  • m is the slope of the line
  • b is the y-intercept ⇒ the value of y when x = 0

∵ The line has a slope \frac{2}{3}

∴ m = \frac{2}{3}

∵ The y-intercept is 9

∴ b = 9

- Substitute the values of m and b in the form of the equation below

∵ y = m x + b

∴ y = \frac{2}{3} x + 9

The equation of the line is y = \frac{2}{3} x + 9

Learn more:

You can learn more about the linear equations in brainly.com/question/12941985

#LearnwithBrainly

4 0
4 years ago
A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as
mamaluj [8]

Answer:

The farmer have at first <u>202</u> chickens.

Step-by-step explanation:

Given:

A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as ducks left.

Now, to find the chickens farmer have at first.

Let the chickens be x.

And, the ducks be y.

<em>As, the farmer had twice as many chickens as ducks on his farm.</em>

So, x=2y    ......(1)

<em>As, given the farmer after selling 166 chickens and ducks, he had half as many chickens as ducks left.</em>

According to question:

x-166=(y-29)\times \frac{1}{2}

x-166=\frac{y-29}{2}

Substituting the value of x from equation (1) we get:

2y-166=\frac{y-29}{2}

<em>By cross multiplying we get:</em>

4y-332=y-29

<em>Adding both sides 332 we get:</em>

4y=y+303

<em>Subtracting both sides by </em>y<em> we get:</em>

3y=303

<em>Dividing both sides by 3 we get:</em>

y=101.

Now, to get the number of chickens substituting the value of y in equation (1):

x=2y\\\\x=2\times 101\\\\x=202.

Therefore, the farmer have at first 202 chickens.

7 0
3 years ago
How many radians is 306°?
ryzh [129]

Answer:

5.34 radians

Step-by-step explanation:

multiply 306 by pi/180

3 0
3 years ago
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Help me please I'm lazy
Pachacha [2.7K]
If you want to know how fast the professional runner is going, you need to multiply  3 1/3 by 1 1/4 since the professional is 1 1/4 times faster. So, your answer is 4 1/6.
3 0
3 years ago
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