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3 years ago

Express 45 minutes as a fraction of 1 hour

Mathematics

1 answer:

Pepsi [2]3 years ago

8 0

Answer:

$\frac{3}{4}$

Step-by-step explanation:

There are 60 minutes in 1 hour

To express as a fraction

$\frac{45}{60}$

Divide numerator/denominator by 15

$\frac{45}{60}$ = $\frac{3}{4}$

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It takes Hank 40 minutes (2/3 hours) to mow a lawn. Penny can mow the same size lawn in 30 minutes (1/2 hour). Hank and Penny fo

andrew-mc [135]

Answer:

2 hours

Step-by-step explanation:

Given: It takes Hank $40$ minutes $\frac{2}{3}$ hours to mow a lawn. Penny can mow the same size lawn in $30$ minutes $\frac{1}{2}$ hours. Hank and Penny form a small lawn care company and have contracts for $7$ lawns of the same size previously mentioned.

To Find: How long should it take both of them working together to mow the $7$ lawns.

Solution:

Time taken by Hank to mow the lawn $=\frac{2}{3}$ $\text{hour}$

Time taken by Penny to mow the lawn $=\frac{1}{2}$ $\text{hour}$

Total lawns to be mowed $=7$

Let time taken by Hank and Penny to mow one lawn $=\text{T}$

$\frac{1}{\text{time taken by Hank}}+\frac{1}{\text{time taken by Penny}}=\frac{1}{\text{Time taken by both to mow one lawn}}$

$\frac{1}{\frac{2}{3}}+\frac{1}{\frac{1}{2}}=\frac{1}{\text{T}}$

$\frac{7}{2}=\frac{1}{\text{T}}$

$\text{T}=\frac{2}{7}$

time taken to mow $7$ lawns $=7\times\text{time taken to mow one lawn}$

$=7\times\frac{2}{7}$

$=2$ $\text{hour}$

Hence it will take $2$ $\text{hours}$ by Hank and Penny to mow $7$ lawns

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3 years ago

Which one of the following examples represents a repeating decimal?

Minchanka [31]

The answer is D. 0.6666666.

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4 years ago

What is 72871872672638+8298197891718989+89792797970120=

serg [7]

Answer:

A 8.469862e+15 so that is the answer hope u get the answer cprrect

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3 years ago

Three locations are marked next to a river. Points B and C are on the same side of the river, and point A is on the other side o

nlexa [21]

Answer:

74.31353

=74 m

Step-by-step explanation:

given that three locations are marked next to a river. Points B and C are on the same side of the river, and point A is on the other side of the river. To find the distance AB across a river, a distance BC of 241 meters is laid off on one side of the river. It is found that the angle at point B is 108.6° and the angle at point C is 14.9°.

we have information about triangle ABC as side BC =241, Angle B = 108.6 and angle C = 14.9 degrees.

Hence this is an obtuse scalene triangle.

Angle ∠A = 56.5° (III angle)

Using sine formula we get

$\frac{AB}{sin 14.6} =\frac{BC}{sin 56.5} \\AB = 74.31353$

So distance AB is 74 metres.

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3 years ago

Luis has a $10 and three $5 bills. He spends $12.75 on entrance fee to an amusement park and $8.50 on snacks. How much does he h

Ulleksa [173]

3x5=$15
15+10=$25 total to spend

He spends 12.75+8.5= $21.25

25-21.25=$3.75 left

6 0

3 years ago

Express 45 minutes as a fraction of 1 hour ​

Express 45 minutes as a fraction of 1 hour