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krek1111 [17]
3 years ago
7

Could someone help me solve this?

Mathematics
1 answer:
hoa [83]3 years ago
6 0
It’s B! Hope this helps
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The sum of the reciprocals of two consecutive even integers is 3/4<br> Find the two integers.
Vedmedyk [2.9K]

\Large{ \underline{ \underline{ \bf{ \orange{Solution:}}}}}

Let one of those even numbers be x, Then other even number would be x + 2.

<u>According</u><u> </u><u>to</u><u> </u><u>question</u><u>,</u>

⇛ Their reciprocal add upto 3/4

<u>So</u><u>,</u><u> </u><u>we</u><u> </u><u>can</u><u> </u><u>write</u><u> </u><u>it</u><u> </u><u>as</u><u>,</u>

⇛ 1/x + 1/x + 2 = 3/4

⇛ x + 2 + x / x(x + 2) = 3/4

⇛ 2x + 2 / x² + 2x = 3/4

<u>Cross</u><u> </u><u>multiplying</u><u>,</u>

⇛ 3(x² + 2x) = 4(2x + 2)

⇛ 3x² + 6x = 8x + 8

⇛ 3x² - 2x - 8 = 0

⇛ 3x² - 6x + 4x - 8 = 0

⇛ 3x(x - 2) + 4(x - 2) = 0

⇛ (3x + 4)(x - 2) = 0

Then, x = -4/3 or 2

☃️ It can't be -4/3 because it is fraction and negative number. So, x = 2

Then, x + 2 = 4

✤ <u>So</u><u>,</u><u> </u><u>The</u><u> </u><u>even</u><u> </u><u>numbers</u><u> </u><u>are</u><u> </u><u>2</u><u> </u><u>and</u><u> </u><u>4</u><u>.</u>

<u>━━━━━━━━━━━━━━━━━━━━</u>

4 0
3 years ago
commander wished to arrange his 8,000 soldiers in the form of a square how many more will be required to complete the square
Temka [501]

Answer:

100

Step-by-step explanation:

Hello,

We are looking for the surrounding perfect squares.

\sqrt{8000}=89.44272...

so

7921=89^2< 8000

So we need 100 more soldiers to form a perfect square.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

4 0
4 years ago
Clearance rack is marked 35% off The regular price
Svetlanka [38]

So it can now be bought for 65% of its regular price.

That's a good deal.  If I needed a clearance rack, I'd buy it.


7 0
3 years ago
BRAINLIEST ASAP! PLEASE HELP ME :)
Jet001 [13]

Answer:

Step-by-step explanation:

Circum center of a right isosceles triangle is located on the midpoint of the hypotenuse.

Circumcenter of a triangle is point where  the perpendicular bisectors of the sides of triangles intersect. Keeping this as a center, you can draw a circle & all the three vertices of the triangle lies on the circumference of the circle. Circumcenter is equal distance from the vertices of the triangle.

For acute triangle, circumcencenter will be inside the triangle.

For obtuse triangle, circumcenter will be outised the triangle.

7 0
3 years ago
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James has 5 apples josh gives james 2 more how many apples does james have
olasank [31]

Answer:

James has 7 apples.

Step-by-step explanation:

5 + 2 is 7.

^.^

- Amanda

6 0
3 years ago
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