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marishachu [46]
2 years ago
3

The points L, M, N and O all lie on the same line segment, in that order, such that the ratio of LM:MN:NOLM:MN:NO is equal to 3:

1:2.3:1:2. If LO=30,LO=30, find LN.LN.
Mathematics
1 answer:
Mashcka [7]2 years ago
8 0

Answer:

|LN| = 24

Step-by-step explanation:

Given

LM:MN:NO = 3:1:2

LO = 30

Required

Find LN

LN = LM + MN

From the ratio, LM = 3 and MN = 1

So:

LN = 3 + 1

LN = 4

LN and NO can be represented as:

LN : NO = 4 : 1

The length of LN is then calculated as:

|LN| = \frac{LN}{LN+NO}*|LO|

|LN| = \frac{4}{4+1}*30

|LN| = \frac{4}{5}*30

|LN| = \frac{4*30}{5}

|LN| = \frac{120}{5}

|LN| = 24

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A rectangular board is 1.6 meters long and 1.2 meters wide. What is the area of the board in square millimeters? Do not round yo
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A rectangular board is 1.6 meters long and 1.2 meters wide.

Here we need to find the area of the board in square millimeters.

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6 0
2 years ago
El producto de dos números consecutivos es 552 cuáles son esos números?
lara31 [8.8K]

Answer: 23 y 24 ( ó -23 y -24)

Step-by-step explanation:

Dos números consecutivos se escriben como:

n y (n + 1)

done n es un numero entero.

Entonces "El producto de dos números consecutivos es 552"

Se escribe como:

n*(n + 1) = 552

n^2 + n = 552

n^2 + n - 552 = 0

Tenemos una cuadrática, las posibles soluciones son obtenidas con la formula de Bhaskara.

n = \frac{-1 +- \sqrt{1^2 - 4*1*(-552)} }{2} = \frac{-1 +- 47}{2}

Las dos soluciones son.

n = (-1 - 47)/2 = -48/2 = -24

n = (-1 + 47)/2 = 46/2 = 23

Si tomamos la primer solución, n = -24

Entonces los dos números consecutivos son:

n = -24

(n + 1) = -23

Si n = 23 entonces

n + 1 = 24

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7 0
2 years ago
Jason wanted to place all 540 marbles in the 3 newly bought boxes. If he wants to
kotegsom [21]

Answer:

The first box will have 90 marbles, the second 180 and the third 270.

Step-by-step explanation:

Division in a ratio of 1:2:3

1 + 2 + 3 = 6

So

The first box will have 1/6 of the marbles.

The second box will have 2/6 = 1/3 of the marbles

The third box will have 3/6 = 1/2 of the marbles.

First box:

One sixth, so:

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Second box:

One third, so:

(1/3)*540 = 540/3 = 180

Third box:

One half, so:

(1/2)*540 = 540/2 = 270

The first box will have 90 marbles, the second 180 and the third 270.

7 0
2 years ago
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