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guajiro [1.7K]
3 years ago
12

Write an equation to represent the following: Three consecutive integers add up to 11 more than the smallest.

Mathematics
1 answer:
mr Goodwill [35]3 years ago
5 0

Answer:


Step-by-step explanation:

First we have to assume the smallest integer.

Let,

the smallest integer is  x

So, the other two integers are-

x+1  and   x+2

Now,  

the sum of these 3 integers is greater than smallest integer by  11

So, we get

x+(x+1)+(x+2) =x+11

This is the required equation.

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Which is more 56 ounces or 3.5 pounds?
Brut [27]
3.5 pounds equals 56 ounces
8 0
4 years ago
The base of a regular pyramid is a hexagon. The figure shows a regular hexagon with center C. An apothem is shown as a dashed se
tatuchka [14]
Answer: 294√3

Explanation:


1) The described hexagon has these featrues:
a) 6 congruent equilateral triangles whose side lengths measure 14
b) height of each triangle = apotema = a
c) the area of each triangle is base × a / 2 = 14 × a / 2 = 7a


2) a is one leg of a right triangle whose other leg is 14 / 2 = 7, and the hypotenuse is 14.

3) Then you can use Pythagorean theorem fo find a:

14² = 7² + a² ⇒ a² = 14² - 7² = 147 ⇒ a = √ 147 = 7√3

4) Therefore, the area of one triangle is: 14 × 7√3  / 2 = 49√3

5) And the area of the hexagon is 6 times that: 6 × 49√3 = 294√3
8 0
3 years ago
Multiply the following and write your answer In scientific notation.. 3.62 × 10^-5 · 9,400.
svet-max [94.6K]

Answer:

3.4028 x 10^-1

Step-by-step explanation:

First you make the 9400 into scientific notation:

9.4x10^3

Then you combine like terms

(3.62x9.4)(10^-5x10^3)

Finally you simplify

34.028x10^-2

3.4028x10^-1


6 0
3 years ago
Complete the steps to solve the equation 3x + 11 = 29.
Stels [109]

Answer:

6

Step-by-step explanation:

3x+11 = 29

3x =  29 - 11 = 18

x = 18/3 = 6

8 0
3 years ago
What is exponential growth? <br><br> NOT FROM THE INTERNET, IN YOUR OWN WORDS PLEASE
nordsb [41]

Answer:

<em>A growth present such that the change in slope itself differs by the multiplication of a constant</em>

Step-by-step explanation:

<em>* Definition: </em><em>A growth present such that the change in slope itself differs by the multiplication of a constant </em><em>*</em>

8 0
3 years ago
Read 2 more answers
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