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2 years ago

Lily finished a task in 3/4 hour .Ella finished it in 4/5 of time Lily took.How long did Ella take to finish the task?

Mathematics

1 answer:

Zarrin [17]2 years ago

7 0

Time taken by Ella is 0.6 hour

Solution:

Lily finished a task in $\frac{3}{4}$ hour

Ella finished it in $\frac{4}{5}$ of time Lily took

To find: time taken by Ella to finish the task

Let "L" be the time taken by Lily

Time taken by Lily = L = $\frac{3}{4} \text{ hour }$

From given statement,

Time taken by Ella to finish the task is $\frac{4}{5}$ of time Lily took

Therefore,

Time taken by Ella = $\frac{4}{5}$ of time taken by Lily

$\text{ Time taken by Ella } = \frac{4}{5} \text{ of } \frac{3}{4}\\\\\text{ Time taken by Ella } = \frac{4}{5} \times \frac{3}{4}\\\\\text{ Time taken by Ella } = \frac{3}{5}\\\\\text{ Time taken by Ella } = 0.6$

Thus time taken by Ella is 0.6 hour

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Ryan has a $3000 bond with a 6% coupon. How much interest wil Ryan receive for this bond every 6 months

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I know 6% of $3000 is $180

But I don't understand the rest of the question.

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In the diagram of circle A, what is the measure of ∠XYZ? 35° 70° 75° 140°

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Answer: First Option is correct.

Step-by-step explanation:

Since we have given that

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As we know the angle subtended at the center is the average of the measure of arc intercepted by it angle and its vertical angles.

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2 years ago

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A firm advertises for workers to address envelopes. Priscilla says she will work 100 hours. Herb will work for 80 hours. If each

snow_tiger [21]

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2 years ago

The total number of parking spaces in a parking garage is calculated by adding the area of the lower level given by 22x2, the ar

iogann1982 [59]

Given:

Total number of parking spaces = 414
Area of lower level = 22x^2
Area of upper level = 20x^2
Compact car section = 12x

The total number of spaces in a parking garage = Area of lower level + area of upper level + area of compact car section.

Working equation:

414 = 22x^2 + 20x^2 + 12x
414 = 42x^2 + 12x
42x^2 + 12x - 414 = 0

solve for x

x1 = 3
x2 = -3.29

We can only use the positive value. Therefore, x = 3. The number of compact car parking spaces is 12x = 12 * 3 = 36 parking spaces

The complete data set is:

Lower level parking = 22x^2 = 198
Upper level parking = 20x^2 = 180
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2 years ago

Solve the radical equation. square root 6n-11= n – 3 Which solution is extraneous? A.)2

Anvisha [2.4K]

ANSWER

D) 10

EXPLANATION

We want to solve the radical equation,

$\sqrt{6n - 11} = n - 3$

Square both sides,

$6n - 11 = (n - 3) ^{2}$

Expand brackets on right hand side,

$6n - 11 = {n}^{2} - 6n + 9$

Rewrite in general quadratic equation form,

${n}^{2} - 12n + 20 = 0$

Factor to obtain,

$(n - 2)(n - 10) = 0$

Apply the zero product principle to get,

$n = 2 \: or \: n = 10$

We put n=2 into the equation to get,

$\sqrt{6(2) - 11} = 2 - 3$

$1 = - 1$

This statement is false, hence 2 is an extraneous solution

We put n=10, to get

$\sqrt{6(10) - 11} = 10 - 3$

$\sqrt{49} = 7$

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This is true, hence the only solution is
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