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ipn [44]
3 years ago
7

3. As a fundraiser the school has a pie eating contest. Matt eats 2.75 pies in 300 seconds. b. Use place value, multiplication w

ith powers of 10, or equivalent fractions to explain what is happening mathematically to the decimal points in the divisor and dividend before dividing.​
Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
6 0

Answer:

Using equivalent fractions, the time Matt takes to eat 1 pie is 1200/11 which is the same as 109\frac{1}{11} seconds

Step-by-step explanation:

The number of pies Matt eats = 2.75 pies

The time duration Matt eats 2.75 pies = 300 seconds

Mathematically, the time duration for Matt to eat one pie is given as follows;

The time to eat 2.75 pies = 300 seconds

Dividing both sides of the equation by 2.75 gives;

The time to eat 2.75/2.75 pie = 300/2.75 seconds

2.75/2.75 = 1, therefore, we have;

The time to eat 1 pie = 300/2.75 seconds

The equivalent fraction of 3000/2.75 = 1200/11

Therefore;

The time Matt takes to eat 1 pie = 1200/11 seconds

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Answer:

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Step-by-step explanation:

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5 0
3 years ago
During a road trip Tony , Tony drove one third the distance that Lana drove. Mark drives 15 more than Lana drove .The total dist
ale4655 [162]

Answer:

The distance drive by Lana = 201 miles

The distance drive by Mark = 216 miles

The distance drive by Tony = 67 miles  

Step-by-step explanation:

Given as :

The total distance cover by Lana , Tony , Mark = 484   miles

Let The distance drove by Lana = L   miles

The distance drove by Tony = T

The distance cover by Mark = M

So ,  L + T + M = 484 miles

Now, The distance of Tony = \frac{1}{3} of Lana distance

Or,   T = \frac{1}{3} × L

And The distance of Mark = 15 + The distance of Lana

Or,   M = 15 + L

Now.

   L + \frac{1}{3} × L + 15 + L = 484

Or, 2 L + \frac{L}{3} = 484 - 15

Or,  2 L + \frac{L}{3} = 469

Or,  \frac{7 L}{3} = 469

Or,  7 L = 469 × 3

∴     L =  \frac{1407}{7}

I.e   L = 201

The distance drive by Lana = 201 miles

The distance drive by Mark = 15 + L =15 + 201 = 216 miles

The distance drive by Tony =  \frac{1}{3} × 201 = 67 miles

Hence The distance drive by each person is

The distance drive by Lana = 201 miles

The distance drive by Mark = 216 miles

The distance drive by Tony = 67 miles    Answer

8 0
3 years ago
reflect coordinates A(0,1) B(2,-4) C(-2,-4) over the y-axis, what is the new coordinates for points A' B' and C' ?
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Answer:

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Step-by-step explanation:

Hope that helps!

6 0
3 years ago
F(x)=(x-6)e^-3x find the interval in which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema
Over [174]
\bf f(x)=(x-6)e^{-3x}\\\\
-----------------------------\\\\
\cfrac{dy}{dx}=1\cdot e^{-3x}+(x-6)-3e^{-3x}\implies \cfrac{dy}{dx}=e^{-3x}[1-3(x-6)]
\\\\\\
\cfrac{dy}{dx}=e^{-3x}(19-3x)\implies \cfrac{dy}{dx}=\cfrac{19-3x}{e^{3x}}

set the derivative to 0, solve for "x" to get any critical points
keep in mind, setting the denominator to 0, also gives us critical points, however, in this case, the denominator will never be 0, so... no critical points from there

there's only 1 critical point anyway, and do a first-derivative test on it, check a number before it and after it, to see what sign the derivative has, and thus, whether the graph is going up or down, to check for any extrema
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What is the measure of the angle between the hour hand and the minute hand when it is 7:00 and 2:00
sergij07 [2.7K]

Answer:

150 degrees or 210 degrees

Step-by-step explanation:

A circle is equal to 360 degrees. The face of a clock is a circle and therefore 360 degrees. A clock is separated into 12 sections. Divide 360/ 12 = 30 degrees. This means each section is 30 degrees.

Between 2:00 and 7:00 clockwise, there are 5 sections. Since each section is 30 degrees, then 5*30 = 150 degrees.

Between 2:00 and 7:00 counter clockwise, there are 7 sections. Since each section is 30 degrees, then 7*30 = 210 degrees.

The angle depends on the direction of it.

3 0
3 years ago
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