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vekshin1
3 years ago
5

Can solve 100 math problems every 4/3 hours. How many math problems does she solve per hour?

Mathematics
1 answer:
MrMuchimi3 years ago
4 0

She can solve 75 questions per hour.

<u>Solution:</u>

Given that, a lady can solve 100 math problems every 4/3 hours.  

We have to find how many math problems does she can solve per hour?

Now, according to the given information.

In \frac{4}{3} hours ⇒ 100 problems

Then, 1 hour ⇒ "n" problems

So, by chris cross method.

\frac{4}{3} \times n = 1 \times 100

\frac{4}{3}n = 100

n = \frac{3}{4} \times 100\\\\n = 3 \times 25 = 75

Hence, she can solve 75 questions per hour.

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olchik [2.2K]

Step-by-step explanation:

Perimeter = x + 2x + 2x = 5x

Since 5x <= 46.8cm, x <= 9.36cm.

The largest base is 9.36cm.

7 0
3 years ago
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can anyone help me with these? I'm having a lot of trouble and I'm extremely behind... I need to catch up badly!!! i have been a
TiliK225 [7]

Answer:

Step-by-step explanation:

5 and 6 are the same, so I will do one of those and you can use the example to do the other one.  

Slope-intercept form is y = mx + b.  If we have 2 points and nothing else, we can use those 2 points in the slope formula to find the slope (the m value in the equation) and then plug that in with either one of the points to get the equation.  The slope formula is:

m=\frac{y_{2} -y_{1} }{x_{2}-x_{1}  }

Using our points in question 5:  (2, 4) (5, 4)

m=\frac{4-4}{5-2} =\frac{0}{3}=0 So m = 0.  Now pick a point and use it in the equation along with the m value to solve for b.  I will use (2, 4):

4 = 0(2)+b and

4 = 0 + b so

b = 4.  

Now we have m = 0 and b = 4 so we fill in the equation with that info:

y = 0x + 4 or simplifying,

y = 4

For question 7 they want the line parallel to y = 3x + 6 that goes through (-10, 2.5).  For a line to be parallel to another line, their slopes have to be identical.  The slope in y = 3x + 6 is 3.  So the slope of the "new" line is going to be 3 as well.  Now we will use that slope and the given point to solve for b, just like in #5:

2.5 = 3(-10) + b and

2.5 = -30 + b so

b = 32.5

Now we will fill in:

y = 3x + 32.5

For question 8 they want the line perpendicular to y = -4x - 2 that goes through (-16, -11).  For a line to be perpendicular to another line, their slopes have to be opposite reciprocals.  Opposite meaning the sign is opposite (positive becomes negative and negative becomes positive), and reciprocal meaning the fraction is flipped upside down.  The slope in our line is -4.  That means that the perpendicular slope is positive 1/4.  Using that along with our point, we will again solve for b:

-11=\frac{1}{4}(-16)+b which simplifies to

-11 = -4 + b so

b = -7

Now we fill in:

y=\frac{1}{4}x-7

For question 8, in order to find the line parallel to the given line, you need to know the slope.  In the form it is currently in, we do not know the slope.  We need to put it into slope-intercept form to find the slope, then we will proceeed as above.  If

x + 4y = 6, then

4y = -x + 6 and, dividing by 4,

y=-\frac{1}{4}x+\frac{3}{2}

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5=(-\frac{1}{4})(-8)+b which simplifies to

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6 0
4 years ago
Which of these could be considered a statistical question?
MakcuM [25]

The statistical question would be B.

7 0
3 years ago
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What is the solution to the inequality 10x + 18 &lt; -2
solong [7]
<h3>Answer:  x < -2, choice B</h3>

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

Work Shown:

10x + 18 < -2

10x + 18-18 < -2-18 ... subtract 18 from both sides

10x < -20

10x/10 < -20/10 ... divide both sides by 10

x < -2

3 0
3 years ago
What is the combined lenght of all buttons longer than 1 inch?
HACTEHA [7]

Answer:

2 12 1/2 inches

Step-by-step explanation:

1: 1 1/4 + 1 1/4

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3:  2 2/4

Answer:  2 2/4

<em><u>Hope this helps.</u></em>

7 0
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