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Oksi-84 [34.3K]
3 years ago
8

There are 3 consecutive integers twice the first is 20 more than the second. Find the largest number

Mathematics
1 answer:
Burka [1]3 years ago
3 0
Let's say "n" is a natural number. {1,2,3,4,..} To ensure we have an even number we will multiply "n" by 2. Two times any number will make an even number.

consecutive even numbers are like; 2, 4, 6, 8, 10 .. etc. Add +2 to the previous number to get the next consecutive.

1st even number = 2n
2nd even number = 2n + 2
3rd even number = 2n + 4

twice the first number (2n) is 20 more then the second (2n + 2).

2(2n) = 2n + 2 + 20

4n = 2n + 22

4n - 2n = 22

2n = 22

n = 11

Now use n = 11 to find the 3 consecutive even numbers.

1st even number = 2(11) = 22
2nd even number = 2(11) + 2 = 24
3rd even number = 2(11) + 4 = 26

22, 24, 26
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Determine the lateral area and surface area of the given prism. Round answers to the nearest whole number.
vazorg [7]

Answer:

Lateral Area = Area of 2 triangle + Area of slant rectangle + area of back rectangle

Lateral Area = (5m)(3m) + (6m) (36m) + (3m) (36m)

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LA = 339 m²

SA = (5m)(3m) + (6m) (36m) + (3m) (36m) + (5m)(36m)

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2 years ago
Which is the domain of y=10-2x^
liberstina [14]
Y=10x

hope this helped, have a good day
8 0
3 years ago
He mathematics department of a college has 6 male​ professors, 8 female​ professors, 14 male teaching​ assistants, and 7 female
irinina [24]
Total number of people in the department = 6 + 8 + 14 + 7 = 35
Total males = 6 + 14 = 20
Total female professor = 8
Total males or professor = 20 + 8 = 28

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\boxed {\boxed {\text {Answer: P(male or professor) = }\dfrac{4}{5} }}
3 0
2 years ago
Use complete sentences to describe how measurements of position in two directions (vertical and horizontal) are sufficient enoug
4vir4ik [10]

Essentially, you can always tell a thing's position by 3 coordinates. We also say that our world is three-dimentional: it has three dimensions -that's why three coordinates are needed. If something is on a flat surface, you know its one coordinate (all points on the same surface have the same coordinate) so you only need two more (you can call them vertical and horizontal)



5 0
3 years ago
Please help me ASAP thank you
DaniilM [7]

Answer:

x=17°

Step-by-step explanation:

163+x=180 (L.P)

x=180-163

x=17°

6 0
2 years ago
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