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Delvig [45]
3 years ago
7

Fathi has $1.10 , in his printing account. Each sheet of paper he uses reduces his printing account balance by $0.25. Fathi want

s to print out a PDF document that is 47 pages long. To save paper, he decides to print on both sides of each sheet and to print two pages on each side of the sheet.
After Fathi prints, what will be the balance in his printing account?
Mathematics
1 answer:
lianna [129]3 years ago
3 0

Answer:

-$1.9

Step-by-step explanation:

There are 47 pages.

Printing on both sides would divide the number of pages into half.

47/2 = 23.5

2 pages on each side would mean 4 pages on one sheet. Therefore, the number of pages will be further divided by 2.

23.5/2 = 11.75

There cannot be 11.75 pages so we will round it up to 12 pages.

Each page costs $0.25 so 12 pages will cost:

12 x 0.25 = $3

Faithi has $1.1 so new account balance will be:

1.1 - 3 = $-1.9

Therefore, Fathi's balance in his printing account would be negative $1.9.

!!

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In (4x - 1) = In (x - 6)
gladu [14]

Answer:

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Step-by-step explanation:

7 0
2 years ago
A cardboard box without a lid is to have a volume of 19,652 cm3. Find the dimensions that minimize the amount of cardboard used.
Effectus [21]

Answer:

The dimension of the cardboard is 34 cm by 34 cm by 17 cm.

Step-by-step explanation:

Let the dimension of the cardboard box be x cm by y cm by z cm.

The surface area of the cardboard box without lid is

f(x,y,z)= xy+2xz+2yz.....(1)

Given that the volume of the cardboard is 19,652 cm³.

Therefore xyz =19,652

\Rightarrow z=\frac{19652}{xy}......(2)

putting the value of z in the equation (1)

f(x,y)=xy+2x(\frac{19652}{xy})+2y(\frac{19652}{xy})

\Rightarrow f(x,y)=xy+\frac{39304}{y})+\frac{39304}{x}

The partial derivatives are

f_x=y-\frac{39304}{x^2}

f_y=x-\frac{39304}{y^2}

To find the dimension of the box set the partial derivatives f_x=0 and f_y=0.Therefore y-\frac{39304}{x^2}=0

\Rightarrow y=\frac{39304}{x^2}.......(3)

and   x-\frac{39304}{y^2}=0

\Rightarrow x=\frac{39304}{y^2}.......(4)

Now putting the x in equation (3)

y =\frac {39304}{(\frac{39304}{y^2})^2}

\Rightarrow y=\frac{y^4}{39304}

\Rightarrow y^3= 39304

⇒y=34 cm

Then \Rightarrow x=\frac{39304}{34^2} =34 cm.

Putting the value of x and y in the equation (2)

z=\frac{19652}{34 \times 24}

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The dimension of the cardboard is 34 cm by 34 cm by 17 cm.

4 0
3 years ago
Can I get some help?​
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The equation of the straight line is y=mx+q where q is the number on the y-axis where the line passes, as you can see it is -3. It turns into:
y=mx+(-3) -> y=mx-3
Then consider a point on the line and take the coordinates, such as the point with coordinates (-2;-4), so now you know that:
x=-2 and y=-4
At this point you put these values into the equation:
y=mx-3
-4=m(-2)-3
then solve:
-4=-2m-3
-2m=+3-4
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7 0
3 years ago
There it is:) the full thing
nikdorinn [45]

Answer:

I can't see the whole thing.

So sorry I can't answer it if I can't see the WHOLE thing.

7 0
3 years ago
Read 2 more answers
Mr. Gaster has $5 in his piggy bank and wants to put $45 every week into the piggy bank. Make you equation showing how much mone
Romashka-Z-Leto [24]
So your starting amount is 5. Your equation will start like this:
5+
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Part 2:

The equation is set up on weeks so you need to find out how many weeks 28 days is. 
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5+45*4=y
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He will have 185 dollars in his bank. <span />
7 0
3 years ago
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