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andrew11 [14]
3 years ago
7

What is 1/3 of 1/2?

Mathematics
2 answers:
tatuchka [14]3 years ago
5 0
0.167 is your answer!
Mnenie [13.5K]3 years ago
4 0
 0.1666667 is .33 of .5
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Problem IDPRAQT48 At the beginning of a trip, a car's gasoline tank contained 14 1/5 gallons of gas. At the end of the trip, it
Kryger [21]

Answer:

5 8/15 Gallons

Step-by-step explanation:

Step 1: Change mixed numbers into improper fractions.

14 1/5 = 71/5

8 2/3 = 26/3

Step 2: Change the improper fractions to have the same denominator.

71/5 = 213/15

26/3 = 130/15

Step 3: Subtract

213/15 - 130/15 = 83/15

Step 4: Simplify

83/15 = 5 8/15

Hope this helps! :D

8 0
3 years ago
Noah wants to clean his second story windows and plans to buy a ladder that will reach at least
Lina20 [59]

Answer:

Noah should buy a ladder of length greater than <u>28.1 ft</u> to reach at least 22 feet height.

Step-by-step explanation:

Given:

Noah has to reach at least 22 ft height.

Angle made by the base of ladder with the ground = 51.5°

To find the length of the ladder.

Solution:

On drawing the situation, we get a right triangle. The hypotenuse of the triangle represents the length of the ladder.

In triangle ABC.

∠C = 51.5°

AB = 22 ft

Applying trigonometric ratio to find AC (length of the ladder).

\sin\theta = \frac{Opposite\ side}{Hypotenuse}

\sin C=\frac{AB}{AC}

Plugging in values.

\sin 51.5\°=\frac{22}{AC}

Multiplying AC both sides.

AC\sin 51.5\°=\frac{22}{AC}\times AC

AC\sin 51.5\°=22

Dividing both sides by \sin 51.5\°

\frac{AC\sin 51.5\°}{\sin 51.5\°}=\frac{22}{\sin 51.5\°}

AC=\frac{22}{\sin 51.5\°}

AC=28.1\ ft

Thus, Noah should buy a ladder of length greater than 28.1 ft to reach at least 22 feet height.

5 0
3 years ago
A team of three students are working on a language-learning app; they need to develop 300 micro-lessons and 300 micro-tests befo
Olegator [25]

Answer: a) 15 b)

Step-by-step explanation:

Let X be the number of days:

a)

For LESSONS:

Jordan does 10 / day ( 10*X)

Marco 5 / day ( 5*X)

Junyi 5 / day ( 5*X)

For TESTS:

Jordan does 5 / day ( 5*X)

Marco 10 / day ( 10*X)

Junyi 8 / day ( 8*X)

for each they need a total of 300

a) 10X+5X+5X=300 => 20X = 300 => X = 15 days for the lessons

b) 5X+10X+8X = 300 => 23X = 300 => X = 13.04 days for the tests

so they need 15 days to finish both tasks

now if Junyi gets sick we just eliminate his contribution

a) 10X+5X=300 => 15X = 300 => X = 20 days for the lessons

b) 5X+10X = 300 => 15X = 300 => X = 20 days for the tests

so in 20 days they will finish without him

If jordan works 10 hours a day, we just replace him with 10/24

a) 10(10/24)+5X+5X= 300 => X = 29.58 days for the lessons

b) 5(10/24)+10X+8X = 300 => X = 16.51 days for the tests

so at the end to complete both tasks they need 29.58 days

4 0
3 years ago
Whats the rate if 13 inches of snow in 7 hours
dem82 [27]

Answer:

1.86 (rounded to nearest hundredth) inches of snow in 1 hour

Step-by-step explanation:

Divide 13 inches of snow by 7 hours

The answer is 1.8571428571428571428571428571429

Round to the nearest hundredth

1.86

Hope this helped :)

5 0
4 years ago
Read 2 more answers
Please help with these math questions
Alexxx [7]
3) This is definitely a positive association, but the question is - is it linear? 
Since a somewhat straight line can be drawn through the points, it is linear. 

<span>Answer: positive linear association 
</span>
4) Find the slope using the formula 
m =  \frac{y2 - y1}{x2 - x1}

m = 43 - 48/ 4 - 2 = -5/2 = -2.5
Negative association, but is it linear? Lets find out

Oh no! It seems that their is not a pattern in the association, so its nonlinear!

Answer: Negative nonlinear association

5) <span>m = \frac{y2 - y1}{x2 - x1}
m = 80 - 66/ 5 - 3 
m = 14/2
m = 7

Positive! But is it linear??
Let us draw a graph this time. 

I know my graph is messy, but can you see the nonlinear-ness? It doesnt form a straight line!

Answer: Positive nonlinear association 

</span><span>Hope this helped. :) </span>

8 0
3 years ago
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