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3 years ago

Write from least to greatest

Mathematics

1 answer:

Marina86 [1]3 years ago

8 0

Answer:

4 3/8 < 4 2/3 < 4 5/6 < 5 1/4

Hope it helped!

Step-by-step explanation:

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A large storage tank holds 2900 m3 of a liquid mixture that has 112% of the density of water. The tank is in an empty warehouse

frez [133]

Answer:

Part a) The height that the liquid forms equals 2.56 feet.

Part b) The number of trucks required are 361.

Step-by-step explanation:

When all the liquid mixture is spilled from the storage tank it will accumulate over the floor space.

Thus we infer

$V_{spilled}=V_{accumulated}$

where

$V_{spilled}$ is spilled volume of mixture = $2900m^{3}$

$V_{accumulated}$ is accumulated volume over the floor

Since the floor is smooth thus we conclude that the accumulated volume will form a prism of liquid with height 'h'

Thus

$V_{accumulated}=Area\times h=40000\times h$

Equating both the volumes we get

$40000\times h=2900m^{3}\times \frac{35.314ft^{3}}{m^{3}}=102412.533ft^{3}\\\\\therefore h=\frac{102412.533}{40000}=2.56 feet$

Thus the height formed by the liquid equals 2.56 feet.

Part b)

We know that the basic relation between density, mass and volume is

$Mass=density\times volume$

Since it is given that the density of the liquid is 112% the density of water thus we have

$density_{liquid}=1.12\times density_{water}\\\\density_{liquid}=1.12\times 1000=1120kg/m^3$

Thus the weight of the volume of liquid is

$mass=2900\times 1120=3248000kg$

Now since it is given that 1 truck can carry 9000 kg of liquid thus by proportion the number of trucks need to carry 3248000 kilograms of liquid equals

$n=\frac{3248000}{9000}=360.88\approx 361$

4 0

3 years ago

What are the zeros of the function: f(x) = 2x^2-50

yan [13]

When f(x) = 0,

$2x^2 - 50 = 0$

$2(x^2 - 25) = 0$

$2(x- 5)(x + 5) = 0$

$(x - 5) = 0 \ or \ (x + 5) = 0$

$x = 5 \ or \ x = -5$

--------------------------------
Answer : x = 5 or -5
--------------------------------

3 0

4 years ago

Read 2 more answers

You and your friend hike to a waterfall that is 4 miles east of where you left your bikes. You then hike to a lookout point that

netineya [11]

Answer is 10.5 miles

I used Pythagorean theory to solve for the unknown distance from the waterfall to lookout point.
a^2 + b^2 = c^2
2^2 + 4^2 = c^2
20 = c^2
Take square root of both sides
4.47 = c
Rounded to 4.5 miles

Add 4 miles and 2 miles and 4.5 miles
10.5 miles total

3 0

2 years ago

Brainliest to whoever gets this correct!

dangina [55]

Answer:

y - 4 = -8/7(x - 4)

Step-by-step explanation:

Point-Slope form: y - y₁ = m(x - x₁)

x₁ and y₁ would be the coordinates of the point (4,4).

m would be the slope -8/7.

Substituting these values:

y - 4 = -8/7(x - 4)

8 0

3 years ago

Read 2 more answers

Suppose a city with population 900,000 has been growing at a rate of 7% per year. If this rate continues, find the population of

Y_Kistochka [10]

Answer:

Future population in 19 years = 3,254,580 people (Approx.)

Step-by-step explanation:

Given:

Current population of city = 900,000

Growth rate of population = 7%

Number of year = 19

Find:

Future population in 19 years

Computation:

A = P[1+r]ⁿ

Future population = Current population[1+g]ⁿ

Future population in 19 years = 900,000[1+7%]¹⁹

Future population in 19 years = 900,000[1+0.07]¹⁹

Future population in 19 years = 900,000[1.07]¹⁹

Future population in 19 years = 900,000[3.6162]

Future population in 19 years = 3,254,580

Future population in 19 years = 3,254,580 people (Approx.)

6 0

3 years ago