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4 years ago

Eight more than the quotient of a number and 4 equals 5

1 answer:

3 0

Well we can put that word problem into a equation so, 8+x/4=5. Now what I would do is move the 8 to the other side, and since it moved to the other side it becomes a -8 so now we have x/4 = -3. Now I would multiply both side by 4 to get x = -12

Answer= X = -12

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On mobile devices, global voice traffic has been growing by approximately 222 petabytes (\text{PB})(PB)left parenthesis, P, B, r

loris [4]

Answer:

Voice data consumed: 118PB

Global data consumed: 144PB

Step-by-step explanation:

At a given month voice and data trafic are equal at 110 PB each

Rewriting the info into formulae will give us

Voice_Data=Prev_VD+2PB*Month

[tex]\left \{ {{Global\_Data_{(M+1)}=Global\_Data_{(M)}*\left(1+0.07\right)} \atop Global\_Data_{(M+2)}=Global\_Data_{(M+1)}\left(1+0.07\rigt)=Global\_Data_{(M)}\left(1+0.07\right)^2} \right. \\ \\

It follows: Global\_Data_{(M+N)}=Global\_Data_{(M)}}\left(1+0.07\right)^N[\tex]

where we rewrite the percentage as a ratio (dividing by 100)

One grows at a constant rate,and the other grows at a rate that depends on the Data already consumed.

Knowing that at one point they are the same, we can use that value as Previous voice data and previous global data:

Voice_Data=110PB+2PB*Month

Global_Data=110PB*(1+0.07)**Month

To see what happens after 4 months, simply replace the Month value by 4 and evaluate:

3 0

3 years ago

What is the solution to the system of equations? Use the substitution method. {y=−2x+53x−4y=2

klio [65]

$y = - 2x + 53x - 4y = 2 \\ y = 51x - 4y = 2 \\ > y = 51 x - 4y \\ > 51x - 4y = 2$
$y = 51x - 4y \\ 5y = 51x \\ y = \frac{51}{5} x$
Substitute 51/5x into
$51x - 4( \frac{51}{5} x) = 2 \\ 51x - 40.8x = 2 \\ 10.2x = 2 \\ x = 2 \times \frac{10}{102} \\ x = \frac{10}{51} \: aka \: 0.196$
Substitute that into
$y = \frac{51}{5} \times \frac{10}{51} \\ y = 2$
Hope this helps. Answer should be correct. Unless your quadratic equation is wrongly stated.

8 0

3 years ago

You begin with $90 in your savings account and your friend begins

Colt1911 [192]

Answer:

F(f) = 15t + 35 represents the total amount of savings your friend would make in t weeks.

F(d) = 10t + 90 represents the total amount of saving you, darian, would make in t weeks.

When you graph the equations, plugging in different values for t, you can see that the graphs intersect at (11,200). This means that at 11 weeks, both you and your friend have the same amount of money saved up, $200. They will not have the same amount of money in 10 weeks.

7 0

3 years ago

Read 2 more answers

What is the area of a regular hexagon with a side length of 4 m? Enter your answer in the box. Round only your final answer to t

hichkok12 [17]

The area of a hexagon is
A= a^2 (3√3)/2
we replace a with 4
A=41.57

5 0

3 years ago

Read 2 more answers

Which is bigger 2/5 or 4/9

Jlenok [28]

The easiest way to solve this comparison without any unusual comparisons is to find a common denominator for the two fractions.

2/5 = 18/45
4/9 = 20/45

Since 20/45 is bigger than 18/45, we know that 4/9 is greater than 2/5

6 0

3 years ago