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Natasha2012 [34]
3 years ago
8

Two less than five times a number is 28. what is the number

Mathematics
2 answers:
marissa [1.9K]3 years ago
7 0
The number is 6 because five times 6 is 30, and 30 minus 2 is 28. You could also solve this backwards in the future and take 28 plus 2 and then divide that number by 5 (opposite of subtracting 2 is adding two, opposite of multiplying by five is dividing by 5). 

5x-2=28    (writing it this way might also help, because now you just have to solve for x)
Black_prince [1.1K]3 years ago
3 0
2 less than (-2) 5 times a number (5x) is (=) 28 (28)
-2+5x=28
add 2 to both sides
5x=30
divide both sides by 5
x=6

the number is 6
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A sphere has a volume of 288 Pi in^3. Find the surface area of the sphere
lorasvet [3.4K]

Answer:

Step-by-step explanation:

The formula for determining the volume of a sphere is expressed as

Volume = (4/3) × πr³

The volume of the given sphere is expressed as 288π inches³. It means that

(4/3) × πr³ = 288π

4r³/3 = 288

4r³ = 3 × 288 = 864

r³ = 864/4 = 216

Taking cube root of both sides, it becomes

r = 6

The formula for determining the surface area of a sphere is expressed as

Area = 4πr²

π = 3.14

Therefore,

Surface area = 4 × 3.14 × 6² = 452.16 inches²

7 0
3 years ago
A shelf holds 4 boxes of spaghetti noodles,
Katarina [22]

1 in 14   or   1/14

this is the formula I used to calculate:

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3 0
3 years ago
Read 2 more answers
What value of y makes the statement true? -6(y+15)=-3+6
Nitella [24]
I think Yes it is true
7 0
3 years ago
99 point please help
____ [38]
It wants it to be in slope-intercept form.

y=mx+b

We have to first find the slope and plug it into point-slope form.

y-y1=m(x-x1)

Find the slope of the second line. (I did this one first on accident)

Rise/run= 3/1= 3 The slope is 3. Plug that in along with the point (0,3)

y-3=3(x-0)
y-3=3x

Add 3 to the other side.

y= 3x +3 <- <em>for the second line</em><em>
</em>
Now, the second.

rise/run= 1/2= .5 Use point (6,0)

y-0=.5(x-6)
y= .5x-3 

y=.5x-3 <- for the first line

I hope this helps!
~kaiker




4 0
3 years ago
Read 2 more answers
D^2(y)/(dx^2)-16*k*y=9.6e^(4x) + 30e^x
MA_775_DIABLO [31]
The solution depends on the value of k. To make things simple, assume k>0. The homogeneous part of the equation is

\dfrac{\mathrm d^2y}{\mathrm dx^2}-16ky=0

and has characteristic equation

r^2-16k=0\implies r=\pm4\sqrt k

which admits the characteristic solution y_c=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}.

For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be y_p=ae^{4x}+be^x. Then

\dfrac{\mathrm d^2y_p}{\mathrm dx^2}=16ae^{4x}+be^x

So you have

16ae^{4x}+be^x-16k(ae^{4x}+be^x)=9.6e^{4x}+30e^x
(16a-16ka)e^{4x}+(b-16kb)e^x=9.6e^{4x}+30e^x

This means

16a(1-k)=9.6\implies a=\dfrac3{5(1-k)}
b(1-16k)=30\implies b=\dfrac{30}{1-16k}

and so the general solution would be

y=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}+\dfrac3{5(1-k)}e^{4x}+\dfrac{30}{1-16k}e^x
8 0
3 years ago
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