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sveta [45]
3 years ago
12

A student accidentally added five to both the numerator and denominator of a fraction, changing the fraction's value to $\frac12

$. If the original numerator was a 2, what was the original denominator
Mathematics
1 answer:
Gala2k [10]3 years ago
5 0

Answer:

Original denominator=9

Step-by-step explanation:

A student accidentally added five to both the numerator and denominator of a fraction, changing the fraction's value to 1/2. If the original numerator was a 2, what was the original denominator.

Original Numerator=2

The new numerator after the addition of 5 will be 2+5=7

New Numerator=7

New denominator=x

Value of the fraction=1/2

The Fraction is written in the form:

7/x=1/2

Cross product

7*2=1*x

14=x

x=14

Therefore, the new denominator (x)=14

Check:

7/14=1/2

Original denominator before 5 was accidentally added

=14-5

=9

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Answer:

x = \frac{4y}{5}

Step-by-step explanation:

5x = 4y\\\rule{150}{0.5}\\\frac{5x=4y}{5}\\\\\boxed{x = \frac{4y}{5}}

Hope this helps.

4 0
3 years ago
Select the correct answer from each drop-down menu.
Nesterboy [21]

Answer:

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Step-by-step explanation:

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3 years ago
At basketball camp, Kyle made 18% of her throws. Based on this information which is the best prediction of the number of free th
fgiga [73]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
A random sample of 100 automobile owners in thestate of Virginia shows that an automobile is driven onaverage 23,500 kilometers
Anastaziya [24]

Answer:

a) 22497.7 < μ< 24502.3

b)  With 99% confidence the possible error will not exceed 1002.3

Step-by-step explanation:

Given that:

Mean (μ) = 23500 kilometers per year

Standard deviation (σ) = 3900 kilometers

Confidence level (c) = 99% = 0.99

number of samples (n) = 100

a) α = 1 - c = 1 - 0.99 = 0.01

\frac{\alpha }{2} =\frac{0.01}{2}=0.005\\ z_{\frac{\alpha }{2}}=z_{0.005}=2.57

Using normal distribution table, z_{0.005 is the z value of 1 - 0.005 = 0.995 of the area to the right which is 2.57.

The margin of error (e) is given as:

e= z_{0.005}\frac{\sigma}{\sqrt{n} }  = 2.57*\frac{3900}{\sqrt{100} } =1002.3

The 99% confidence interval = (μ - e, μ + e) = (23500 - 1002.3, 23500 + 1002.3) =  (22497.7, 24502.3)

Confidence interval = 22497.7 < μ< 24502.3

b) With 99% confidence the possible error will not exceed 1002.3

5 0
4 years ago
If the ratio of y to x is equal to 3 and the sum of y and x is 80, what is value of y
Rus_ich [418]

Answer:

y = 60

Step-by-step explanation:

<h3>Step 1: Make sense of the given</h3>

"The ratio of y to x is 3"

This means that, y\div x=3

"The sum of y and x is 80"

This means,  x+y=80

<h3>Step 2: Make use of the facts</h3>

If y\div x=3, then y = (3*x).

We can plug this into the other equation by substitution:

x + (3 * x)=80

This simplifies to:

4x = 80

Which we can solve out and get:
x=20.

<h3>Step 3: Plug and Chug</h3>

We solved for x, but we need the value of y.

So, we go back to the equation we first derived: "y = (3*x)".

And now we substitute the value of x, into this.

y = (3 * (20))

By solving this out, we get:
y=60

So, the value of y is 60.

3 0
2 years ago
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