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creativ13 [48]
3 years ago
15

What is 1/2[4x + 6(2 + 2x)]

Mathematics
2 answers:
Rufina [12.5K]3 years ago
4 0

\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}

  • \sf{\dfrac{1}{2}[4x+6(2+2x)]   }

  • \sf{\dfrac{1}{2}[4x+12+12x]   }

  • \sf{\dfrac{1}{2}[16x+12]   }

  • \sf{\dfrac{1}{2}[2(8x+6)]   }

  • \sf{\dfrac{1}{\cancel{2}}×\cancel{2}(8x+6)  }

  • \sf{ 8x+6  }

\sf{   }

Blababa [14]3 years ago
3 0

Answer:

8x+6

Step-by-step explanation:

1/2[4x + 6(2 + 2x)]

Work inside out

Distribute inside

1/2[4x + 12 + 12x)]

Combine like terms

1/2[16x +12]

Distribute

8x+6

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3 years ago
For value of v, determine whether it is a solution to 21=5v+1. Is -7 a solution
Alisiya [41]
Hello.

Given the equation:

\mathsf{\boxed{5v + 1 = 21}}

Testing for v = -7

\mathsf{5v + 1 = 21} \\ \\ \mathsf{5 \times (-7) + 1 = 21} \\ \\ \mathsf{-35 +1 = 21} \\ \\ \mathsf{-34 = 21}

-34 does not equal 21. Therefore, '-7' is not a solution.

Hope I helped.
3 0
3 years ago
Read 2 more answers
You have $1,998.00 on a credit card with a 14.5% APR. You miss your minimum payment the first month and there is a late fee of $
Minchanka [31]
There are 2 parts to this question.  1. One would be to calculate the interest based on your balance and 2. then to add the late fee.  Use the formula i = prt to calculate your simple interest. <em>i</em> represents the interest you will pay, <em>p</em> stands for the principal (balance on your credit card), and <em>t</em> stands for the period of time (related to a period of a year/annual percentage rate).  The $1998 balance times 0.145 times 1/12 gives the interest amount of $24.14.  So, $1998 + $24.14 + $37 = $2059.14 balance.  

7 0
3 years ago
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Bill works for a large food service company. In one hour he can make 19 sandwiches or he can make 40 salads. Bill works 7 hours
wolverine [178]

Answer:

x=216 salads

Step-by-step explanation:

One Hour:

Salad=40

Sandwich=19

Total work timeT=7

Generally

Time to make 30 sandwiches is

T_s=\frac{30}{19}

T-s=1.6hours

Therefore

Bill has 7-1.6 hours to make salads and can make x about of salads in

x=(7-1.6)*40

x=5.4*40

x=216 salads

7 0
3 years ago
Able to help Q39? Thank you
Alex
A)

y  varies inversely as (x-1).

Implies    y  α  1/(x -1)

                 y =  k/(x-1).        Where k is constant of proportionality.

                 y*(x - 1) = k

when y = 12, x = 1/2

12*(1/2 - 1) = k

12*(0.5 - 1) = k

k = 12*(-0.5) = -6.

k = -6.

Equation connecting x and y

  y*(x - 1) = k,          recall k = -6

  y*(x - 1) = -6

b)

when x = a.

y*(x - 1) = -6

y*(a - 1) = -6

y = -6 / (a -1)

when x = 2a.

y*(2a - 1) = -6

y = -6 / (2a -1)

Difference in y is 1.8

-6 / (2a -1)  -  -6/(a - 1) = 1.8

-6 / (2a -1)  + 6/(a - 1) = 1.8

6 / (a -1) - 6 /(2a -1) = 1.8

6( 1/(a-1) -  1/(2a - 1)) = 1.8

1/(a-1) -  1/(2a - 1) = 1.8/6

1/(a-1) -  1/(2a - 1) = 0.3

((2a - 1) - (a - 1)) / ((a-1)(2a -1)) = 0.3

(2a - 1 -a + 1) /((a-1)(2a -1)) = 0.3

a / (2a² - 3a + 1) = 0.3

a/0.3 = 2a² - 3a + 1

10a/3 = 2a² - 3a + 1

2a² - 3a + 1 = 10a/3

2a² - 3a -10a/3 + 1 = 0

2a² - 19a/3 + 1 = 0

6a² - 19a + 3 = 0

This is a quadratic expression which can be factored.

6a² - 18a - a + 3 = 0

6a(a - 3) - 1(a - 3) = 0

(6a - 1)(a - 3) = 0         

6a - 1 = 0      a = 1/6

a - 3 = 0   a = 3.

a = 3  or  1/6

Since a is positive integer, a = 3 only.
4 0
3 years ago
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