What is 1/3 of 1/2?

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 28.1 ft 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.

Answer: positive linear association

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) $m = \frac{y2 - y1}{x2 - x1}$
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

Hope this helped. :)

8 0

3 years ago