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tamaranim1 [39]
3 years ago
6

180+8x=160+6x help me find x

Mathematics
1 answer:
lianna [129]3 years ago
3 0

Answer:

x = -10

Step-by-step explanation:

Step 1: Write equation

180 + 8x = 160 + 6x

Step 2: Solve for <em>x</em>

  1. Subtract 6x on both sides: 180 + 2x = 160
  2. Subtract 180 on both sides: 2x = -20
  3. Divide both sides by 2: x = -10

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

180 + 8(-10) = 160 + 6(-10)

180 - 80 = 160 - 60

100 = 100

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If the length of AB=12, what is the length of AP?
lara31 [8.8K]

Answer:

AP= 12

Step-by-step explanation:

Here is the complete question: If the length of AB=12, what is the length of AP? picture attached.

Given: AB= 12

          ∠APB= 60°

Remember; sum of all angle of triangle is equal to 180°.

We can look at picture, where two side of triangle is radius of circle.

∴ Angle of two side will also be same for the isosceles triangle.

Lets assume the unknow angle of the triangle be "x".

Now, x+x+60= 180

⇒ 2x+60= 180

subtracting both side by 60

⇒ 2x= 120

∴ x= 60

As now we have all the angle of triangle is 60° (equilateral triangle)

∴ All the side will be same, which is 12

Hence, AP= 12.

7 0
3 years ago
How much money should the company spend on marketing each month?​
o-na [289]

The function represents the profit, and the company obviously wants to maximize it.

You can see that the profit increases until the parabola reaches its maximum.

The coordinate of the maximum look like (1.5, 90)

This means that, if the company invests 1.5 thousand dollars, the profit will be 90 thousand dollars, and this is the maximum profit the company can reach.

7 0
3 years ago
Bill is making accessories for the soccer team. He uses 611.66 inches of fabric on headbands for 31 players and 3 coaches. He al
Sliva [168]

Answer:

26.8 inches of fabrics was used on headband and wristband for each player

Step-by-step explanation:

Headbands for 31 players and 3 couches = 611.66 inches of fabric

Total number of people = 31 players + 3 couches

= 31 + 3

= 34 people

Fabrics per person's headbands = Total inches of fabrics for headbands / total number of people

= 611.66 inches of fabric / 34 people

= 17.99 inches of fabrics per person

Wristband for 31 players = 273.11 inches of fabric

Fabric per person's wristband = total inches of fabrics for wristband / number of players

= 273.11 inches of fabric / 31

= 8.81 inches per person

How much fabric was used on a headband and wristband for each player?

= Fabrics per person's headbands + Fabric per person's wristband

= 17.99 inches + 8.81 inches

= 26.8 inches of fabrics was used on headband and wristband for each player

4 0
2 years ago
If the world's population increased exponentially from billion in 1998 to billion in 2008 and continued to increase at the same
Gelneren [198K]

Answer:

The answer is "7.122 billion"

Step-by-step explanation:

Please find the complete question in the attached file.

Using formula:

\to y=Ce^{kt}  

C=5.937\\\\y=6.771\\\\t=10\\\\ k=?6.771=5.937e^{10k}\\\\1.1405=e^{10k}\\\\\ln(1.1405)={10\ k}\\\\0.013={k}\\\\

So,  

\to y=5.937e^{.013t}\\\\

when it becomes 2012, \ t=14 so plug the value into the formula  

\to y= 5.937e^{.013(14)} =7.122 \ billion

7 0
2 years ago
What vaule of x makes th question true? 3x+2(x-5)=50 a. 8 b.9 c.11 d.12
Ainat [17]
Hey Tierra7l, 

Lets solve your equation together step by step. 

3x+2\left(x-5\right)=50 

\mathrm{Expand}\:2\left(x-5\right):\quad 2x-10 

\mathrm{Distribute\:parentheses\:using}:\quad \:a\left(b+c\right)=ab+ac 

                                    a=2,\:b=x,\:c=-5 

2\cdot \:x+2\left(-5\right) 

\mathrm{Apply\:minus-plus\:rules} 

\:\:+\left(-a\right)=-a 

2x-2\cdot \:5 

\mathrm{Multiply\:the\:numbers:}\:2\cdot \:5=10 

2x-10 

3x+2x-10=50 

\mathrm{Add\:similar\:elements:}\:3x+2x=5x 

5x-10=50 

\mathrm{Add\:}10\mathrm{\:to\:both\:sides} 

5x-10+10=50+10 

\mathrm{Simplify} 

5x=60 

\mathrm{Divide\:both\:sides\:by\:}5 

\dfrac{5x}{5}=\dfrac{60}{5} 

\mathrm{Simplify} 

x=12 

Hope this helps, 

      AnthrαX <span>  </span>
4 0
2 years ago
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