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devlian [24]
3 years ago
5

The sum of 6 consecutive even numbers is 126. What is the fourth number in this sequence?

Mathematics
1 answer:
lilavasa [31]3 years ago
4 0

Answer:

The 6 numbers are: 16, 18, 20, 22, 24, and 26 so the answer would be 22.

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An object is 3.6 m from the pinhole. Its image is 4.2 cm from the opposite side of the pinhole. The height of the image is 0.8 c
madreJ [45]

Answer:

Height of the object is 68.6 cm.

Step-by-step explanation:

The height of the object can be determined by:

\frac{object distance from pinhole}{image distance from pinhole} = \frac{object height}{image height}

From the given question;

object distance from pinhole = 3.6 m = 360 cm

image distance from pinhole = 4.2 cm

height of image = 0.8 cm

So that;

\frac{360}{4.2} = \frac{object height}{0.8}

⇒ object height = \frac{360*0.8}{4.2}

                           = \frac{288}{4.2}

                           = 68.571

object height = 68.6 cm

Thus, the height of the object is 68.6 cm.

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3 years ago
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4 0
2 years ago
Jori has 7 boxes of books, with each box holding the same number of books. He has 126 books in all. How many books are there per
nika2105 [10]

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6 0
2 years ago
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) Tara earns twice as much per hour as Kayte.
Cerrena [4.2K]

Answer:

Austin's hourly wage is $8.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

Tara's hourly wage is x.

Kayte's hourly wage is y.

Austin's hourly wage is z.

Tara earns twice as much per hour as Kayte.

This means that x = 2y

Kayte earns $3 more per hour than Austin.

This means that y = z + 3

As a group, they earn $41 per hour.

This means that x + y + z = 41

What is Austin's hourly wage?​

This is z.

x + y + z = 41

y = z + 3 and x = 2y, so x = 2(z + 3) = 2z + 6

x + y + z = 41

2z + 6 + z + 3 + z = 41

4z + 9 = 41

4z = 32

z = \frac{32}{4}

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Austin's hourly wage is $8.

5 0
3 years ago
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