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iragen [17]
2 years ago
12

A copy machine makes 36 copies per minute. How many does it make in 3 minutes and 15 seconds

Mathematics
2 answers:
DanielleElmas [232]2 years ago
4 0
You can set up a proportion for 36 copies to 1 minute and x copies for 3 minutes and 15 seconds (15 seconds is a fourth of a minute, so it would be .25

36/1=x/3.25

Then just cross multiply to get

117=x

You can also simply multiply 36 by 3.25 since 36 copies are made in 1 minute

Digiron [165]2 years ago
3 0
36 x 3 = 108

60/15 = 4
36/4 = 3.75

108 + 3.75 = 111.75
Answer: 111.75 copies

Hope I helped :)
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Calculate the length of a minor arc OP in terms of π​
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Answer:

arc length = radius * angle in degrees * (PI / 180)

arc length = 6 * 160 * (PI/180)

arc length = PI * 960 / 180

arc length = PI * 5 + (60/180)

arc length = (16/3) * PI

Step-by-step explanation:

3 0
3 years ago
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The box and whiskers plot represents the results of the same math test being given to two different classes. According to the bo
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Answer: Answer A: Both classes have a range of 45

Step-by-step explanation:

above the two graphs we can see a number line ranging from 50-100

bellow that, we can see 2 box and whisker plots, one for second period and one for fourth period. the larger rectangular boxes show all the number results, the line in between them states the average result. Both lines have starting points at 55 and ending points at 100.

100-55=45   45 being the range. Since 2nd and 4th both share the same range answer A could possibly be correct

B is wrong because 2nd period has a median of 90

C is wrong because no periods have a median of 100

D is wrong because most of the students scored an 85+

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4 0
3 years ago
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How many more unit tiles need to be added to the expression x2+4x+3 in order to form a perfect square trinomial?
son4ous [18]

Answer:

(x-1)(x-3)

Step-by-step explanation:

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A line joins the point
Harrizon [31]

Intersection of the first two lines:

\begin{cases}5x - 2y + 3 = 0\\4x - 3y + 1 = 0\end{cases}

Multiply the first equation by 4 and the second by 5:

\begin{cases}20x - 8y + 12 = 0\\20x - 15y + 5 = 0\end{cases}

Subtract the two equations:

(20x - 8y + 12)-(20x - 15y + 5)=0 \iff 7y+7=0 \iff y=-1

Plug this value for y in one of the equation, for example the first:

5x - 2\cdot (-1) + 3 = 0\iff 5x+5=0 \iff x=-1

So, the first point of intersection is (-1,-1)

We can find the intersection of the other two lines in the same way: we start with

\begin{cases}x=y\\x=3y+4\end{cases}

Use the fact that x and y are the same to rewrite the second equation as

x=3x+4 \iff 2x=-4 \iff x=-2

And since x and y are the same, the second point is (-2, -2)

So, we're looking for a line passing through (-1,-1) and (-2, -2). We may use the formula to find the equation of a line knowing two of its points, but in this case it is very clear that both points have the same coordinates, so the line must be y=x

In the attached figure, line 5x - 2y + 3 = 0 is light green, line 4x - 3y + 1 = 0 is dark green, and their intersection is point A.

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5 0
3 years ago
1. 2x + 4 = 3(x – 2) + 1
sweet [91]
Please, do not post more than 1 or 2 questions at a time.  Out of courtesy I will address one of your six questions here:

<span>2x + 4 = 3(x – 2) + 1

You are to solve this for x.

1) perform the multiplication:     </span><span>2x + 4 = 3x - 6 + 1
2) combine like terms:                4+6-1 = x
3) solve for x:                              x = 11
4) check:  Is 2(11) + 4 = 3(11-2) + 1 true?
   Is 22+4 = 33-6 true?  NO.  Try again, looking for the mistake:

</span><span>2x + 4 = 3(x – 2) + 1  =>   2x + 4 = 3x - 6 + 1
                                                  4 = x - 5
                                                  9 = x

Check:  Is 2(9) + 4 = 3(9-2) + 1 true?  Is 18+4 = 22 true?  YES.
The solution to #1 is  x = 9  (answer).

Submit your other questions separately, please.

</span>
8 0
3 years ago
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