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crimeas [40]
3 years ago
11

A company buys pens at the rate of $7.50 per box for the first 10 boxes, $5.50 per box for the next 10 boxes, and $4.50 per box

for any additional boxes. how many boxes of pens can be bought for $148.00?
Mathematics
1 answer:
photoshop1234 [79]3 years ago
4 0

So it is really easy to solve firstly we can see how much does the first 10 boxes make which makes around 75$ obviously. Secondly 55$ for the next 10 boxes.

So for now we can simply calculate that we have spent around 130$ which means 20 boxes. The remaining money left is 18$ so we can buy 18/4.5 = 4 only 4 boxes with that money. Hence a total of 24 boxes.

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Find the rational number whose decimal expansion is 0.3344444
Eddi Din [679]
Answer: The fraction 301/900
Note: I'm assuming the 4's continue on forever

==============================================

Work Shown:

I'm going to assume that the 4s go on forever. I'll represent this with three dots after the last 4 like so
0.334444...

Now let x = 0.334444...

Multiply both sides by 100
x = 0.334444...
100x = 100*(0.334444...)
100x = 33.444444...

And repeat with 1000
x = 0.334444...
1000x = 1000*(0.334444...)
1000x = 334.444444...

Then subtract and solve for x. Notice how the decimal parts line up and cancel
1000x-100x = (334.444444...) - (33.444444...)
1000x-100x = (334+0.444444...) - (33+0.444444...)
1000x-100x = 334+0.444444... - 33 - 0.444444...
1000x-100x = (334-33)+(0.444444... - 0.444444...)
900x = 334 - 33
900x = 301
x = 301/900
6 0
3 years ago
The function f(x) = g(x), where f(x) = 2x - 5 and g(x) = x2 - 6.
JulijaS [17]

Answer:

2.7

Step-by-step explanation:

I got it right

8 0
3 years ago
How do I solve this?<br><br> x+1/x-2 &gt; 0
Eduardwww [97]

Answer:

x ∈ (-oo ; - 1) ∪ (+ 2 ; +oo)

Step-by-step explanation:

\frac{x+1}{x-2}>0\\ \\x+1>0=>x>-1\\\\x-2>0=>x>2

x ∈ (+ 2 ; +oo)

x+1x

x ∈ (-oo ; - 1)

x ∈ (-oo ; - 1) ∪ (+ 2 ; +oo)

8 0
3 years ago
Find the area of a parallelogram with sides 6 and 12 and an angle of 60
KiRa [710]
Hello,

Let's assume h the heigth of the parallelogram

h/6=sin 60°==>h=√3/2*6=3√3
Area=3√3 * 12=36√3

8 0
3 years ago
Read 2 more answers
What is the solution to the linear equation?<br><br> –12 + 3b – 1 = –5 – b
marysya [2.9K]
-12+3b-1=-5-b
Combine like terms to get:
3b-13=-5-b
Add 13 to both sides:
3b= 8-b
Add b to both sides:
4b=8
Divide both sides by 4:
4b/4=8/4
b=2

Final answer
b=2
4 0
3 years ago
Read 2 more answers
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