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Sholpan [36]
3 years ago
7

Solve by describing your steps

" title="\frac{x}{4} + 2 = 10" alt="\frac{x}{4} + 2 = 10" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
raketka [301]3 years ago
5 0

Answer:

x = 32

Step-by-step explanation:

x/4  +2 = 10

Subtract 2 from each side

x/4 +2-2 = 10-2

x/4  =8

Multiply each side by 4

x/4 *4 = 8*4

x = 32

umka2103 [35]3 years ago
4 0

Answer:

x=32

Step-by-step explanation:

To solve, we need to isolate the variable, x

\frac{x}{4} +2=10

Subtract 2 from both sides

(\frac{x}{4}+2)-2=10-2

\frac{x}{4} =8

Multiply both sides by 4

4(\frac{x}{4})=8(4)

x=32

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4/15

Step-by-step explanation:

6 0
2 years ago
Twice the sum of five and x is eight less than x
Anna007 [38]
We need to express this statement into a equation:

First of all. We will walk through the statement step by step into a mathematical language, so:

1. The sum of five and x:

x + 5

2. Twice the sum of five and x:

2(x + 5)

3. Eight less than x:

(x-8)

     Finally the whole statement is:

4. <span>Twice the sum of five and x is eight less than x:
</span>
2(x + 5) = (x-8)
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4 0
3 years ago
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7 0
3 years ago
Determine the equation of the circle graphed below. <br><br> ( please help me )
Brums [2.3K]

Answer:

Equation : \\(x+3)^2 + ( y -2)^2 = 36

Step-by-step explanation:

For standard form the circle's equation we need the centre of the circle and the radius.

Step 1: <em><u>Find the centre</u></em>

If the centre is not given find the end points of the diameter

and then find the mid point.

Let the end points of the diameter be : ( - 3 , 8 ) and ( -3 , -4 )

The mid-point of the diameter is :

                        Mid-point = (\frac{-3 + - 3}{2}, \frac{-4+8}{2}) =  (-3, 2)

Therefore, centre of the circle = ( -3 , 2 )

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

<u></u>Radius = \frac{Diameter }{2}<u></u>

Diameter is the distance between the end points ( -3 , 8) and ( -3 , -4 )

That is ,

 Diameter = \sqrt{(-3-(-3))^2 + ( -4 -8)^2}\\

                 = \sqrt{(-3 + 3)^2 + (-12)^2}\\\\=\sqrt{0 + 144}\\\\=12

Therefore ,

       Radius = \frac{12}{2} = 6

Step 3 : <u>Equation of the circle</u>

Standard equation of the circle with centre ( h ,k )

and radius ,r is :

       (x - h)^2+(y -k)^2 = r^2

Therefore, the equation of the circle with centre ( -3, 2)

and radius = 6 is :

    (x - (-3))^2 +  (y - 2)^2 = 6^2\\\\(x + 3)^2 + (y - 2)^2 = 36

5 0
2 years ago
A crew of highway workers paved 1/5 mile in 1/8
Dmitry_Shevchenko [17]

Answer: 2/5 Step-by-step explanation: The easiest approach is to realize that one hour is 3 times longer than 20 minutes. The longer the time, the more they will pave.  

6 0
2 years ago
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