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4 years ago

-10 2/7 divided by -4 4/11 I cannot seem to get this question right

Mathematics

2 answers:

kicyunya [14]4 years ago

7 0

Answer:

-2 5/14

Step-by-step explanation:

nignag [31]4 years ago

7 0

let's firstly convert the mixed fractions to improper fractions and then divide.

$\bf \stackrel{mixed}{10\frac{2}{7}}\implies \cfrac{10\cdot 7+2}{7}\implies \stackrel{improper}{\cfrac{72}{7}}~\hfill \stackrel{mixed}{4\frac{4}{11}}\implies \cfrac{4\cdot 11+4}{11}\implies \stackrel{improper}{\cfrac{48}{11}} \\\\[-0.35em] ~\dotfill$

$\bf -\cfrac{72}{7}\div -\cfrac{48}{11}\implies \cfrac{-72}{7}\div \cfrac{-48}{11}\implies \cfrac{\stackrel{3}{~~\begin{matrix} -72 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{7}\cdot \cfrac{11}{\underset{2}{~~\begin{matrix} -48 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \cfrac{33}{14}\implies 2\frac{5}{14}$

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Gnom [1K]

Answer:

0.003, 5/1000, 9/1000

Step-by-step explanation:

0.003 is thousandths.

5/1000 is thousandths.

9/1000 is thousandths.

I converted them to fractions.

5/1000 is already a fraction

Same for 9/1000

0.003=3/1000

So 3/1000, 5/1000, 9/1000

6 0

3 years ago

A plane traveling with the wind travels 900 miles in 5 hours. the return trip is against the wind and takes 9 hours. find the ra

Aneli [31]

Using the relation between velocity, distance and time, it is found that:

The rate of the plane in still air is of 140 mph.

The rate of the wind is of 40 mph.

<h3>What is the relation between velocity, distance and time?</h3>

Velocity is <u>distance divided by time</u>, that is:

$v = \frac{d}{t}$

A plane traveling with the wind travels 900 miles in 5 hours, hence:

$v_a + v_w = \frac{900}{5}$

$v_a + v_w = 180$

The return trip is against the wind and takes 9 hours, hence:

$v_a - v_w = \frac{900}{9}$

$v_a - v_w = 100$

From the first equation, we have that:

$v_w = 180 - v_a{/tex]Replacing on the second:[tex]v_a - v_w = 100$

$v_a - 180 + v_a = 100$

$2v_a = 280$

$v_a = 140$

[tex]v_w = 180 - 140 = 40{/tex]

Hence:

The rate of the plane in still air is of 140 mph.

The rate of the wind is of 40 mph.

More can be learned about the relation between velocity, distance and time at brainly.com/question/24316569

4 0

2 years ago

Nine times the sum of 8 and the some number of 117

Delicious77 [7]

Is it 8+117=125x9=1125

3 0

3 years ago

Read 2 more answers

What is the surface area of the square pyramid?

wel

Ok to start you need to break this into a net in your head. Next, calculate each triangle
(6*7)/2 = 21
Then, multiply each triangle by the amount of them.
21*4 = 84
Next, get the area of the square.
7*7 = 49
Lastly, add the triangles and the square up.
49 + 84 = 133

3 0

3 years ago

Mr. Jackson traveled to a city 170 miles from his home to attend a meeting. Due to car trouble, his average speed returning was

Umnica [9.8K]

Answer: the average speed at which he traveled to the city is 52.9 mph

Step-by-step explanation:

Let x represent the average speed at which he traveled to the city. Due to car trouble, his average speed returning was 8mph less than his speed going. It means that the speed at which he returned is (x - 8) mph.

Time = distance/speed

Assuming the distance travelled to and from the city is the same(170 miles), then

Time spent in travelling to the city is

170/x

Time spent in travelling back from the city is

170/(x - 8)

If the total time for the round trip was 7 hours, it means that

170/x + 170/(x - 8) = 7

Multiplying both sides of the equation by x(x - 8), it becomes

170(x - 8) + 170x = 7x(x - 8)

170x - 1360 + 170x = 7x² - 56x

7x² - 56x - 170x - 170x + 1360 = 0

7x² - 396x + 1360 = 0

Applying the general formula for solving quadratic equations which is expressed as

x = [- b ± √(b² - 4ac)]/2a

From the equation given,

a = 7

b = - 396

c = 1360

Therefore,

x = [- - 396 ± √(- 396² - 4 × 7 × 1360)]/2 × 7

x = [396 ± √(156816 - 38080)]/14

x = [396 ± √118736]/14

x = (396 + 344.58)/14 or x = (396 - 344.58)/14

x = 52.9 or 3.7

Checking both values of x,

For x = 52.9

170/52.9 + 170/(52.9 - 8) = 7

= 3.2 + 3.8 = 7

Therefore, x = 52.9 mph

4 0

3 years ago