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Alexeev081 [22]
3 years ago
6

Decide wheather the Change is an increase or decrease and find the percent change original number =45 new number =18

Mathematics
1 answer:
oee [108]3 years ago
7 0

Answer:

40% decrease

Step-by-step explanation:

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The ratio of blue marbles to red marbles in a box is 3 to 2. if there are 12 blue marbles in a box then how many red marbles are
valkas [14]
The answer is: 8 red marbles!

This is because the equation can be written out like this
Blue to red - 3:2
Now it is, blue to red - 12:x

We have to think, what is the difference from the first equation to the second. We know the number 3 times 4 = 12, so we would do the same for the red, 2 times 4=8

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2 years ago
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Solve the following system of equations <br> x^2+2y^2=59<br> 2x^2+y^2=43
aivan3 [116]

Answer: x = (-3,3), y = (-5,5)

Step-by-step explanation:

Add both of the equations together, for 3x^{2}+3y^{2} = 102. Now we can divide both sides by 3, gettingx^2+y^2=34. we subtract the first equation from our equation we just got, getting y^2=25 y= (5,-5). once we plug that in, we get 50+x^2 = 59, x^2 = 9 x = (-3,3)

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3 years ago
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zavuch27 [327]
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3 years ago
A trough is 12 ft long and its ends have the shape of isosceles triangles that are 3 ft across at the top and have a height of 1
V125BC [204]

Answer:

\frac{dh}{dt}=0.5ft

Step-by-step explanation:

From the question we are told that:

Length l=12

Top length l_t=3ft

Height h=1ft

Rate R=14 ft3/min

Water rise w=4

Generally the equation for Velocity is mathematically given by

V=frac{1}{2}wh'(l)\\\\V=frac{1}{2}wh'(12)

V=18h'^2

Therefore

R=18(2h)(\frac{dh}{dt})

Where

h=\frac{3}{4}

Therefore

\frac{dh}{dt}=\frac{R}{18(2h)}

\frac{dh}{dt}=\frac{14}{18(2.3/4)}

\frac{dh}{dt}=0.5ft

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Pi times 7/2 squared
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