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MArishka [77]
3 years ago
10

the sum of three consecutive integers is 78. What is the value of the smallest of the three integers?

Mathematics
1 answer:
CaHeK987 [17]3 years ago
8 0

Answer:

Step-by-step explanation:

Consecutive integers just means like one after another.

This means that:

First number = x

Second number = x + 1

Third number = x + 2

They've told us that the sum of 3 consecutive integers is 78.

First number + second number + third number = 78

Sub the equations we wrote into the formula above and we get:

x + x + 1 + x + 2 = 78

Gather the like terms.

3x + 3 = 78

Subtract 3 from both sides.

3x = 78-3 = 75

Divide both sides by 3 to solve for x.

x = 75/3 = 25

If you look at the very beginning we said that the first number = x.

Therefore it is 25.

Second number = x + 1 = 26

Third number = x + 2 = 27

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Step-by-step explanation:

If 3/4 of the lot was full and the lot holds 1000 vehicles, then there are 3/4(1000) in the lot.  3/4(1000) = 750.  That means there are 750 vehicles in the lot.  If 200 cars are in the lot, then 750 - 200 = 550 trucks.

5 0
3 years ago
Find the angle θθ between the vectors v=2i+kv=2i+k, w=j−3kw=j−3k.
kaheart [24]
Hello : 
v . w = <span>| | v | | × </span><span>| | w | |  cos(</span><span>θ) ....(1)
v(2,0,1)   w(0,1,-3)

</span>v . w = (2)(0)+(0)(1)+(1)(-3) = - 3
| | v | |  = √((2)²+(0)²+(1)²) = <span>√5
</span>| | w |  =  √((0)²+(1)²+(-3)²) = √10
by (1) : 
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4 0
4 years ago
after making a deposit Puja had $264 in her savings account she knows that if she added $26 to the mouth originally in the accou
alex41 [277]

Answer:

$106.00

Step-by-step explanation:

origional amount = x

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Hope this helps you! Have an amazing day :)



3 0
3 years ago
1. what is the distributive property of 8×59. 2.what is the distributive property of 9×84. 3. what is the distributive property
kherson [118]
1.8x59 is 472
8(59)

2.9x84 is 756
9(84)

3.6x78 is 468
6(78)

4.7x96 is 672
7(96)
7 0
3 years ago
Read 2 more answers
Question 12 (1 point)
Paraphin [41]
<h3>Answer:   5</h3>

=================================================

Explanation:

Let's consider the expression (x-y)^2. It expands out to x^2-2xy+y^2. The terms are:

  • x^2
  • -2xy
  • y^2

Each of those terms either has a single variable with an exponent of 2, or has the exponents add to 2. Think of 2xy as 2x^1y^1.

In short, this means that the degree of each monomial term is 2.

----------

Now consider (x-y)^3. It expands out into x^3-3x^2y+3xy^2+y^3.

We have terms that either have a single variable and the exponent is 3, or the exponents add to 3. The degree of each term is 3.

----------

This pattern continues.

In general, for (x-y)^n, where n is any positive whole number, the degree of each term in the expansion is n. If you picked any term, added the exponents, then the exponents will add to n.

4 0
3 years ago
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