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DaniilM [7]
3 years ago
14

13=1/4(2x+16) solve for x in simplest form

Mathematics
1 answer:
Pavel [41]3 years ago
4 0

Answer:

18

Step-by-step explanation:

1/4 (2x+16) = .5x+4

13=.5x+4

-4        -4

9=.5x

9/.5 .    .5x/.5

18=x

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Kala purchased a prepaid phone card for $30. Long distance calls cost 9 cents a minute using this card. Kala used her card only
Romashka [77]

Answer:

The call lasted 13 minutes

Step-by-step explanation:

In this question, we are told to find the number of minutes a call lasted.

The initial amount on the card is $30 and after making a phone call just once, the balance went down to $28.83

What was used would be 30 - 28.83 = $1.17 or simply 117 cents

Now these long calls come at a cost of 9 cents per minute and we have a total of 117 cents here; the number of minutes is thus 117/9 = 13

This means Kala spent 13 minutes on the call

8 0
3 years ago
Read 2 more answers
What is an equation of the line that passes through the points (-8, 1) and(7,1)?
likoan [24]

Answer:

y=1

Step-by-step explanation:

you can use those points to find the slope

use the equation \frac{y_{1} - y_{2}}{x_{1}-x_{2}} then plug in the numbers

so (1-1)/(-8-7) = 0/15 so the slope is zero meaning it is a horizontal line which we can tell logically because the y coordinates of both points are 1.

so if you plug those numbers into the formula y=mx+b where m is slope and b is the y intercept then

you get y=0*x+1

then 0*x is just zero and it goes away so the equation for this line is y=1

Hope this helps! :)

8 0
2 years ago
Read 2 more answers
Which equation is equivalent to the given equation? x2 - 6x = 8
mario62 [17]

Answer:

See photo below

5 0
3 years ago
Find the area of quadrilateral ABCD. A. 27.28 units² B. 33.08 units² C. 28.53 units² D. 26.47 units²
Ludmilka [50]

Answer:

<h3>\boxed{ \boxed{ \bold{ \purple{ \sf{28.53 \:  {units}^{2} }}}}}</h3>

Option C is the correct option.

Step-by-step explanation:

For ABD

\sf{ =  \frac{2.89 + 8.59 + 8.6}{2} }

\sf{ =  \frac{20.08}{2} }

\sf{ = 10.04}

∆ ABD = \sf{ =  \sqrt{10.04(10.04 - 2.89)(10.04 - 8.59)(10.04 - 8.6)} }

\sf{  = \sqrt{10.04 \times 7.15 \times 1.45 \times 1.44 }}

\sf{  =  \sqrt{149.8891} }

\sf{ = 12.2429}

For ∆ ACD ,

\sf{s =  \frac{8.6 + 4.3 + 7.58}{2} }

\sf{ =   \frac{20.48}{2} }

\sf{ = 10.24}

∆ ACD = \sf{ =  \sqrt{10.24(10.24 - 8.6)(10.24 - 4.3)(10.24 - 7.58} }

\sf{ \sqrt{10.24 \times 1.64 \times 5.94 \times 2.66} }

\sf{ =  \sqrt{265.3456} }

\sf{ = 16.2894}

Area of quadrilateral ABCD = \sf{12.2429 + 16.2894}

\sf{ = 28.5323}

\sf{ = 28.53} units ²

Hope I helped!

Best regards!

8 0
3 years ago
Determine whether or not the procedure described below results in a binomial distribution. If it is not​ binomial, identify at l
ArbitrLikvidat [17]

Answer:

a) it is not a binomial, it is hypergeometric distribution.

Step-by-step explanation:

a) Four hundred different voters in a region with two major political​ parties, A and​ B, are randomly selected from the population of 3000 registered voters.

it is not a binomial because the probability of succes changes between one trial and another one, so the trials are not independent.

5 0
3 years ago
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