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allochka39001 [22]
4 years ago
11

Find three consecutive even integers. Such that 7 times of first integer is 4 more than the sum of second and third integers

Mathematics
1 answer:
attashe74 [19]4 years ago
3 0

Answer:

1st even integer = 2

2nd even integer = 4

3rd even integer  = 6

Step-by-step explanation:

Let the consecutive even integers be:

1st = 2(x)

2nd= 2(x +1) = 2x + 2

3rd = 2(x + 2) = 2x + 4

According to Given conditions:

7(2x) = 4 +  2x +2 + 2x + 4

By Simplifying:

14x = 10 + 4x

Subtracting 4x from both sides

14x - 4x = 10 + 4x -4x

10x = 10

Dividing both sides by 10 we get:

x = 1

Now putting value of x in supposed integers:

1st even integer = 2(1) = 2

2nd even integer = 2(1)+2 = 4

3rd even integer = 2(1) + 4 = 6

I hope it will help you!

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A dartboard has 8 equally sized slices numbered from 1 to 8. Some are grey and some are white, as shown below.
Anna [14]

✨Answer:

✨:P (X) is 7/10P(not X) is 3/10 The total is 10 so that's ur denominator The probability of landing on a grey area is 7/10✨

Step-by-step explanation:✨

✨~hope this helps~✨

✨GOD LOVES YOU✨

8 0
3 years ago
On a coordinate plane, parallelogram A B C D has points (3, 6), (6, 5), (5, 1), and (2, 2).
jeka94

Answer:

  13 square units

Step-by-step explanation:

The bounding rectangle is 4 units wide and 5 units high, so has an area of 4×5 = 20 square units. From that are subtracted the areas of 4 triangles. 2 of them are 3 wide and 1 high, so have a combined area of 3×1 = 3 square units. The other two are 1 wide and 4 high, so have a combined area of 1×4 = 4 square units.

Then the area of the parallelogram is ...

  20 -3 -4 = 13 . . . . square units

3 0
3 years ago
Given: X = r + 2, Y = 2r - 9, and Z = r 2 + 17r + 30. Simplify [X · Y - Z] ÷ X.
ale4655 [162]
( (r+2) * (2r-9)-(r^2+17r+30) )/(r+2)

none of the parenthetical operations or power operations can be simplified further, so multiplication and division first, left to right:

(2r(r+2) -9(r+2) - r^2 + 17r +30)/(r+2)

(2r^2 + 2r -9r+18 -r^2 +17r +30 )/(r+2)

(r^2 +10r +48)/(r+2)


7 0
4 years ago
PLZZZZ HELLPPP MEEE GET ANSWER
nadya68 [22]

Answer:

<em>See above photograph</em>

Step-by-step explanation:

This is how your graph will look like with an x-intercept of [−5, 0] (will not see, according to the scale, but on my device, you can), and a y-intercept of [0, 50]. The way to figure out all the coordinates upon this scale is to simply create a y-x value chart. Plug in each input value [x-value] to get your output value [y-value]:

<u>x|y</u>

0|50

1|60

2|70

3|80

4|90

5|100

6|110

7|120

8|130

9|140

10|150

11|160

Then, you simply just draw your line based of this chart.

I am joyous to assist you anytime.

4 0
3 years ago
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