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iragen [17]
3 years ago
7

The sum of 6 consecutive even numbers is 270. What is the second number in this sequence?

Mathematics
1 answer:
KonstantinChe [14]3 years ago
4 0
Lets find all the numbers..

x (1st number)
x + 2 ( 2nd number)
x + 4 (3rd number)
x + 6 (4th number)
x + 8 (5th number)
x + 10 (6th number)

Now add all those expressions and set them equal to 270 because that is the total.

x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 270
6x + 30 = 270
6x = 240
x = 40

Now we will substitute 40 for x in the expression of the second number.

x + 2
40 + 2
42

So the second number is 42

Hope this helps :)
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Find the surface area of the composite figure.
grandymaker [24]

Answer:

Surface area of the composite figure = 508cm²

Step-by-step explanation:

Composite figures :- A composite shape is a 2D shape that is made from a combination of other basic 2D shapes and polygons. These shapes include squares, rectangles, triangles, circles.

Surface area of cuboid = 2(LB + LH + BH)

There are 2 cuboids in the question therefore solving them separately,

  1. For bigger cuboid

L = 12cm

B =  2cm

H = 10cm

putting these values in the above formula,

SA of bigger cuboid = 2(12×2 + 12×10 + 2×10)

                  SA           = 328cm²

  1. For smaller cuboid

L = 8cm

B =3cm

H = 6cm

SA = 2(8×3 + 8×6 + 3×6)

SA = 2×90

SA = 180cm²

now surface area of whole figure,

SA of bigger cuboid + SA of smaller cuboid

     328cm²   +    180cm²

       508cm² answer

learn more on composite figures at

brainly.com/question/22680932

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5 0
2 years ago
Write the equation of a line that passes through ( 4, 6), and has a slope of 1/3
nlexa [21]

Answer:

y = 1/3x + 14/3

Step-by-step explanation:

y = mx + b

we know the slope, so the equation would be --> y = 1/3x + b

Now we plug in the coordinates of the given point (4, 6) the line goes through, and solve for b:

y = 1/3x + b

6 = 1/3(4) + b

6 = 4/3 + b

-4/3   -4/3

----------------

14/3 = b

3 0
3 years ago
What does f(x)= 2/3x + 1 equal can you guys help me?
sashaice [31]
The answer to your question is 2
3 0
3 years ago
1. The state of Wyoming is approximately a
VikaD [51]

Answer:

4.86 people/sq.miles

Step-by-step explanation:

the area of the state of Wyoming =

360 × 280 = 100,800 sq. miles

so, the population density =

490,408 ÷ 100,800

= 4.86 people/sq.miles

7 0
3 years ago
A linear graph contains the points (3, -5 and (7, 11)
abruzzese [7]
Slope
y2-y1/x2-x1
11+5/7-3
4
now plug and chug with -5=4(3)+b
3 0
3 years ago
Read 2 more answers
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