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3 years ago

Joe and Donna are in a pie eating contest. Donna eats 11 pies in 2.5

Mathematics

2 answers:

Anni [7]3 years ago

7 0

We’re is the picture

o-na [289]3 years ago

7 0

Donna will win because she eats 4.4 pies per minute and Joe eats 4 pies per minute.
Pie eaten by Donna: 11 pies / 2.5 minute = 4.4 pies per minute
Pie eaten by Joe: 10 pies / 2.5 minute = 4 pies per minute

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16 emails to 6 text messages- 10 emails to 4 text messages proportional or not

Pavel [41]

Given:

16 emails to 6 text messages- 10 emails to 4 text messages

To find:

Whether 16 emails to 6 text messages- 10 emails to 4 text messages proportional or not.

Solution:

Check the ratio of emails to text. If the ratios are equal then the relation is proportional.

16 emails to 6 text messages.

$\dfrac{Emails}{Text}=\dfrac{16}{6}$

$\dfrac{Emails}{Text}=\dfrac{8}{3}$

$\dfrac{Emails}{Text}=8:3$

10 emails to 4 text messages.

$\dfrac{Emails}{Text}=\dfrac{10}{4}$

$\dfrac{Emails}{Text}=\dfrac{5}{2}$

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3 years ago

I am doing multiples rational expressions, if the equation is 5/2x + 1/4 = 9/2x what is the LDC and can you further explain the

Hoochie [10]

Answer:

The answer is x = 8.

Step-by-step explanation:

LCD is the least common denominator of fractions. LCD represents the smallest number that can be used as a common denominator for a particular set of fractions.

The given equation is $\frac{5}{2x} + \frac{1}{4} = \frac{9}{2x}$

Here we can take LCD as 4x because 4x is divisible by 2x as $\frac{4x}{2x} = 2$ , 4x is divisible by 4 as $\frac{4x}{4} = 1$

therefore we can write

$\frac{5}{2x} + \frac{1}{4} = \frac{9}{2x} \hspace{0.2cm} \Rightarrow \hspace{0.2cm} \frac{10}{4x} + \frac{x}{4x} = \frac{18}{4x} \hspace{0.2cm} \Rightarrow \hspace{0.2cm} \frac{x + 10}{4x} = \frac{18}{4x}$

now we can eliminate the LCD from both sides of the equation and we get

x + 10 = 18 $\therefore$ x = 18 - 10 $\therefore$ x = 8.

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3 years ago