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frez [133]
3 years ago
12

What is the solution to this equation? 3x- x+8+5x-2=10

Mathematics
1 answer:
VashaNatasha [74]3 years ago
5 0
3x -x + 8 + 5x - 2 = 10
3x - x + 5x = 10 -8 +2
7x = 4
x = 7/4
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On a certain IQ test, eleven people averaged a 101.5. A certain reality TV star took
dem82 [27]

Answer:

59.98

Step-by-step explanation:

To find the average of a set of numbers, we sum them all together and divide them by the size of the set. Here, we start out with 11 IQ scores. We don't know what they are, but we can still set up an equation with the information we do have. Let's call the sum of those 11 score <em>s</em>. The average must be s/11, which we know is 101.5. With that, we can set up and solve and equation for <em>s</em>:

\dfrac{s}{11}=101.5\\s=101.5(11)\\s=1116.5

Let's call the score of the reality TV star <em>r</em>. If we add their score to the set, we now have <em>12</em> scores. The sum of those scores is gonna be the sum of the previous scores, 1116.5, plus the reality TV star's score, r. To find the average, we divide the sum by 12. Finally, we're told that this average is exactly 98.04. Putting all of this into an equation gives us

\dfrac{1116.5+r}{12}=98.04

We can now solve for r algebraically, first by multiplying both sides by 12:

1116.5+r=98.04(12)\\1116.5+r=1176.48

And then subtracting 1116.5 from both sides:

r=1176.48-1116.5\\r=59.98

6 0
2 years ago
Each month, Liz pays $35 to her phone company just to use the phone. Each text she sends costs her an additional $0.05. In March
Firdavs [7]
<h3><u>Answer:</u></h3><h3><u>752 & 617</u></h3><h3 /><h3><u>Explanation:</u></h3><h3><u>So if Liz pays $35 each month just to use the phone, we could subtract 35 from the total bill that month to get the the total cost she spent on text messages.</u></h3><h3 /><h3><u>March:$72.60-$35=$37.60</u></h3><h3><u>April: $65.85-$35=$30.85</u></h3><h3 /><h3><u>We can see that in March Liz spent $37.60 on texts in total and in April she spent $30.85 on texts in total. All we have to do is divide the amount of money she spent on texts( $37.60 & $30.85) by the cost of one text message($0.05) to get the amount of texts she sent that month.</u></h3><h3 /><h3><u>March: $37.60/$0.05=752</u></h3><h3><u>April: $30.85/$0.05=617</u></h3><h3 /><h3><u>Therefore, she sent 752 texts in March and 617 texts in April.</u></h3><h3 /><h3><u>~FrxziteTheLxoser~ I hoped I help you  :)</u></h3>

<u>If i helped you please give me brainIIlest!</u>

3 0
2 years ago
1.Use Euler’s Formula to find the missing number. Edges: 40
PtichkaEL [24]

Answer:

Euler's Formula states that:

V -E +F = 2   meaning that the vertices minus the edges plus the faces of a convex polyhedron will always equal two.

So, for the initial question, we have 40 edges and 24 faces.

So, vertices = 2 + Edges -Faces

Vertices = 2 + 40 - 24

Vertices = 18

Source: https://www.1728.org/platonic.htm

Step-by-step explanation:

6 0
2 years ago
What value of b will cause the system to have
Tresset [83]

9514 1404 393

Answer:

  6

Step-by-step explanation:

The value of b that makes the two lines identical is the opposite of the y-intercept of the line.

  y = 6x -6 . . . . has y-intercept = -6

The value of b is the number in the term -6, so is 6.

5 0
2 years ago
If f(x) = 4x - 12, what is f(2)?<br> O A. -4<br> O'B. 4<br> O c. -20<br> D. 8<br> Helpppp plzzz
photoshop1234 [79]

Answer:

-4

Step-by-step explanation:

f(x) = 4x - 12

Let x=2

f(2) = 4*2 - 12

     = 8-12

    = -4

8 0
2 years ago
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