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3 years ago

Liquid A and liquid B are mixed to make liquid C.

Mathematics

1 answer:

natta225 [31]3 years ago

6 0

Answer:

Density is defined as:

Density = mass/volume.

We know that:

For liquid A:

Density = 70kg/m^3

Mass = 1400kg

Then the volume is:

Volume = mass/density = (1400kg)/(70kg/m^3) = 20 m^3

For liquid B:

Density = 280 kg/m^3

Volume = 30m^3

We can find the mass of liquid B as:

mass = density*volume = (280kg/m^3)*(30m^3) = 8400 kg

We know that liquid C is a mixture of liquid A and B.

Then the mass of liquid C will be equal to the sum of the masses of liquid A and B, then:

Mass of liquid C = 1400kg + 8400kg = 9800kg

The same happens for the volume, then:

Volume of liquid C = 30m^3 + 20m^3 = 50m^3

Then the density of liquid C is:

Density of liquid C = (9800kg)/(50m^3) = 196 kg/m^3

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Solve for x: 5x+3y=22 y=2x

den301095 [7]

5x + 3y = 22
y = 2x

Substitute y=2x into the first equation

5x + 3(2x) = 22
5x + 6x = 22
11x = 22
x = 2

Hope that helps :)

8 0

3 years ago

Read 2 more answers

Use the graph to estimate the height of a jugglers ball that has been in the air for 1.5 seconds

strojnjashka [21]

Answer:

The height of a jugglers ball that has been in the air for 1.5 seconds is 6.5 feet

Step-by-step explanation:

we are given height equation as

$h=-16t^2+25t+5$

where

h is the height in feet of a Juggler's ball after t seconds

now, we can plug t=1.5

$h=-16(1.5)^2+25(1.5)+5$

we can solve for h

$h=42.5-16\cdot \:1.5^2$

$h=42.5-36$

$h=6.5$

So,

The height of a jugglers ball that has been in the air for 1.5 seconds is 6.5 feet

5 0

3 years ago

Two supplementary angles are in the ratio 3 1 : 5 find both angles

Zielflug [23.3K]

The two angles are 155 degrees and 25 degrees

<h3><u>Solution:</u></h3>

Given that two supplementary angles are in ratio 31 : 5

Let the first angle be 31a

Let the second angle be 5a

Two Angles are Supplementary when they add up to 180 degrees.

Therefore,

first angle + second angle = 180 degrees

$31a + 5a = 180\\\\36a = 180\\\\a = \frac{180}{36}\\\\a = 5$

<em><u>Therefore the angles are:</u></em>

first angle = 31a = 31(5) = 155 degrees

second angle = 5a = 5(5) = 25 degrees

Thus the two angles are 155 degrees and 25 degrees

3 0

2 years ago

The diameter and height of this cylinder are equal to the side length, S, of the cube in which the cylinder is inscribed. What i

sammy [17]

Volume = πr²h

Diameter = S

Height = S

Radius = S/2

Volume = π ( s²/4 ) s

1/4 πs³

The required answer is in the option ( A )

Hope helps!

7 0

3 years ago

For f(x) = 4x + 2 and g(x) = x^2 - 6, find (f+g)(x)

Margaret [11]

Answer:

$(f+g)(x) = x^2 + 4x - 4$

Step-by-step explanation:

We are given these following functions:

$f(x) = 4x + 2$

$g(x) = x^2 - 6$

(f+g)(x)

We add the common terms. Thus:

$(f+g)(x) = f(x) + g(x) = 4x + 2 + x^2 - 6 = x^2 + 4x + 2 - 6 = x^2 + 4x - 4$

Thus:

$(f+g)(x) = x^2 + 4x - 4$

3 0

2 years ago