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2 years ago

Express 24/40 and 18/42 in their simplest forms.

Mathematics

2 answers:

Irina18 [472]2 years ago

6 0

Answer:

24/40 = 4/5

18/42 = 3/7

Step-by-step explanation:

Sana makatulong

emmainna [20.7K]2 years ago

3 0

Answer:

24/40 =3/5

18/42 = 3/7

Step-by-step explanation:

1. finding the common factor that can bring 24/40 in the simplest form

2 finding the common factor that can break down 18/42 in the simplest form

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HELP! <br> Find x. Round to the nearest tenth.<br> 64<br> 8

alina1380 [7]

Answer:

x= 3.5 (nearest tenth)

Step-by-step explanation:

Please see the attached picture for the full solution.

4 0

3 years ago

The general solution of 2 y ln(x)y' = (y^2 + 4)/x is

Sav [38]

Replace $y'$ with $\dfrac{\mathrm dy}{\mathrm dx}$ to see that this ODE is separable:

$2y\ln x\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{y^2+4}x\implies\dfrac{2y}{y^2+4}\,\mathrm dy=\dfrac{\mathrm dx}{x\ln x}$

Integrate both sides; on the left, set $u=y^2+4$ so that $\mathrm du=2y\,\mathrm dy$ ; on the right, set $v=\ln x$ so that $\mathrm dv=\dfrac{\mathrm dx}x$ . Then

$\displaystyle\int\frac{2y}{y^2+4}\,\mathrm dy=\int\dfrac{\mathrm dx}{x\ln x}\iff\int\frac{\mathrm du}u=\int\dfrac{\mathrm dv}v$

$\implies\ln|u|=\ln|v|+C$

$\implies\ln(y^2+4)=\ln|\ln x|+C$

$\implies y^2+4=e^{\ln|\ln x|+C}$

$\implies y^2=C|\ln x|-4$

$\implies y=\pm\sqrt{C|\ln x|-4}$

4 0

3 years ago

On a blueprint the length of a wall is 5 centimeters. If the actual length of the wall is 15 feet, what is scale of the blueprin

Ludmilka [50]

Answer:

The wall is 90 meters wide.

Step-by-step explanation:

1. set up and solve a proportion to find the value of w like this:

1cm=6cm

15m=wm

2. cancel out the like units on both sides of the equation

1=6

15=w

3. Equate the cross products, and then solve for w:

1*w=15*6

w=90 The actual width of the wall is 90 meters.

5 0

3 years ago

How do I do a ratio?

Kamila [148]

A ratio is comparing one thing to another (numbers in this case). You can write ratios in many ways
here’s three different ways.
There are four girls and and 2 boys.
The ratio of girls to boys is:
4:2
4 to 2
4/2

*THE RATIO MUST ALWAYS BE IN ORDER!!! If boys come first in the problem WRITE THE BOYS NUMBER FIRST! If girls come first, WRITE THE GIRLS FIRST IN THE RATIO!!! (That’s a very common mistake) hope this helps!

6 0

3 years ago

5x +y=8

makvit [3.9K]

Take away the bottom equation from the top so the y’s cancel out
3x = -24
x therefore = -8
and put x back into the equation to find out y
2(-8) + y= 32
-16 + y =32
y= 48

6 0

2 years ago