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Liula [17]
4 years ago
14

It is: THE SUM OF THREE CONSECUTIVE NUMBERS IS 78 WHAT IS THE SMALLEST OF THREE NUMBERS?

Mathematics
2 answers:
TiliK225 [7]4 years ago
8 0
-----------------------------------------------
Define x :
-----------------------------------------------
Let the smallest number be x.
The other two numbers will be x+1 and x+2.

-----------------------------------------------
Construct equation :
-----------------------------------------------
The sum of all 3 numbers is 78
⇒ x + x + 1 + x + 2 = 78

-----------------------------------------------
Solve x :
-----------------------------------------------
x + x + 1 + x + 2 = 78
3x + 3 = 78
3x = 78 - 3
3x = 75
x = 25

-----------------------------------------------
Answer: Smallest number = 25
-----------------------------------------------
saul85 [17]4 years ago
8 0
Lets call them
a, b, c
we know that
a+b+c=78
and we know they are consecutive which makes this problem a lot more easier
the number just after another number is that number plus one. example:
the number just after 3 is
3+1...which is 4
lets write our consecutive numbers in a way that we can use this principle:
a, a+1, a+2

a+a+1+a+2=78
3a+3=78
3a=75
a=25
the smallest number is 25
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Monica [59]
X=9


A) 3x-7=34
 3x= 34+7
 3x= 41
 x= 41/3
 

B) x-9=1
x=1+9
x=10


C) dude what is this


D) 4x+5=41
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7 0
3 years ago
5 + 3(2+6) ÷ 4 <br> can someone explain how to solve this
konstantin123 [22]

Answer: 4.5

Step-by-step explanation:

do the numbers that are in parentheses first which is 2+6=8 next is 5+3=8 then add both ur answers together then divide that by 4 which should equal 4.5

7 0
3 years ago
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Find the midpoint of the line segment JK if j (4,6) and k(0,-4)
Snowcat [4.5K]

Answer:

(2,1)

General Formulas and Concepts:

Order of Operations: BPEMDAS

Midpoint Formula: (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Step-by-step explanation:

<u>Step 1: Define points</u>

J (4, 6)

K (0, -4)

<u>Step 2: Find midpoint</u>

  1. Substitute:                         (\frac{4+0}{2},\frac{6-4}{2})
  2. Add/Subtract:                    (\frac{4}{2},\frac{2}{2})
  3. Divide:                               (2,1)
4 0
3 years ago
7 + (10 − 4)to the power 2 ➗ 4 ✖️1 over 2 to the power of 3
iragen [17]

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=> 7+(10-4)^2 /4 (\frac{1}{2} )^3

=> 7+(6)^2 / 4(\frac{1}{8})

=> 7+36 / \frac{1}{2}

=> 43 * 2

=> 86

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The function has an intercept of -2 and y intercept of -2/3. Write an equation.
poizon [28]

Answer:

y= -1/3x - 2/3

Step-by-step explanation:

y- intercept is (0, -2/3) and the x intercept is (0, -2).

To find the slope of an equation, you do rise over run. To get from (0, -2/3) to (0, -2), you rise 2/3 and run -2. 2/3 divided by -2 is -1/3, that is where you get the slope from.

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