All categories

3 years ago

Which rational number is equivalent to the expression 69 2/9 - 31 1/9 - ( -12 4/9) ?

Mathematics

1 answer:

Juliette [100K]3 years ago

8 0

69 2/9 - 31 1/9 - (- 12 4/9) =
69 2/9 - 31 1/9 + 12 4/9 =
81 6/9 - 31 1/9 =
50 5/9 or 455/9 or 50.56 <==

You might be interested in

PLZZZZ HELPPPPPP THIS IS TIMEDDDD!!!! *look at picture*

Kazeer [188]

Answer:

Height of the building = 50.8 ft

Step-by-step explanation:

A person and a building are casting the shadows at the same time of the day.

Triangles formed by the person and his shadow and the building and its shadow will be similar.

Therefore, corresponding sides of the similar triangles will be proportional.

$\frac{x}{28}=\frac{5.8}{3.2}$

x = $\frac{5.8\times 28}{3.2}$

x = 50.75

x ≈ 50.8 ft

5 0

3 years ago

Read 2 more answers

3. Find the least number which must be added to the following numbers to make them a perfect square. i) 37460 ii) 506900 iii) 49

EastWind [94]

Answer:

i). 211.

ii). 711.

iii). 31

iv). 131.

Step-by-step explanation:

i). √37460 = 193.545

Then take the whole number from the decimal:

193² = 193 × 193 = 37249

You subtract the answer from the main number:

37460 - 37249 = 211

211 is the answer.

ii). √506900 = 711.969

711² = 711 × 711 = 505521

506900 - 505521 = 1379

1379 is the answer.

iii). √4931 = 70.221

70² = 70 × 70 = 4900

4931 - 4900 = 31

31 is the answer.

iv). √5607 = 74.879

74² = 74 × 74 = 5476

5607 - 5476 = 131

131 is the answer.

Hope you understand ◉‿◉ (✷‿✷) (◠‿◕)

8 0

3 years ago

Alonzo takes 12 minutes to run 6 times around a 400-meter track. Assuming he runs at a constant speed, how long does he take to

snow_lady [41]

Answer:

5 minutes to run 1 kilometer

Step-by-step explanation:

Alonzo takes 12 minutes to run 6 times around a 400-meter track.

6 times around a 400 m track

400 * 6 = 2400 meters

It take 12 minutes to run 2400 meters

2400 meters = 2400/1000 = 2.4km

distance = 2.4 km and time = 12 minutes

Now we find our constant speed

$Distance = speed * time$

2.4 = speed * 12

divide by 12 on both sides

speed = 0.2

so speed is 0.2 km per minute

Now we find out time when distance = 1km

Distance = speed * time

1 = 0.2 * t

divide by 0.2 on both sides

5 = t

So it take 5 minutes to run 1 kilometer

3 0

3 years ago

At time t=0, water begins to drip out of a pipe into an empty bucket. After 48 minutes, there are 12 inches of water in the bu

morpeh [17]

Answer:

W = (1/7) t

Step-by-step explanation:

At t = 0, W = 0

At t = 56 minutes , W = 8 inches

W = k*t The y intercept = 0 because t = 0 W = 0

8 inches = k * 56 minutes

k = 8 / 56

k = 1/7 inches / minute

W = (1/7) t

5 0

3 years ago

How many gal is in 32 qt?

spin [16.1K]

There are 8 gallons in 32 quarts becuase 4 quarts = 1 gallon so 32 divided by 4 is 8. Hope this helped! :)

6 0

4 years ago