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lisabon 2012 [21]
3 years ago
14

4|n+8| = 56 please help

Mathematics
1 answer:
Alchen [17]3 years ago
3 0
To solve the absolute value equation you first need to get everything not in the absolute value bars to the other side of the equation.

Step 1) Divide by 4
|n+8| = 14

*Remember: when solving absolute value equations, you make what the expression (n+8) is equal to negative and positive. Not the other way around.

Step 2) Make two equations

n+8 = 14
n+8 = -14

Solve and you'll see that n= 6 and -22
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What is the formula for an eastbound car is going 4 miles per hour faster than a westbound car. the cars are 208 miles apart 2 h
ivanzaharov [21]
Draw a diagram to illustrate the problem as shown below.

Let v = speed of the westbound car, mph

Because the eastbound car travels 4 mph faster than the westbound car, its speed is (v+4) mph.

After 2 hours,
the westbound car travels 2v miles west, and the eastbound car travels 2(v+4) miles east.
Because they become separated by 208 miles, therefore
2v + 2(v+4) = 208
4v + 8 = 208
4v = 200
v = 50 mph

The westbound car travels at 50 mph.
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Answer: The eastbound car travels at 54 mph.

7 0
3 years ago
A cone has a volume of 5 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?
DENIUS [597]
The answer is 15 in³.

The volume of the cone is:
V_1= \pi r_1 ^{2}  \frac{h_1}{3} = \frac{ \pi  r_1^{2} h_1}{3}
where:
V₁ - the volume of the cone
r₁ - the radius of the cone
h₁ - the height of the cone

The volume of the cylinder is:
V_2= \pi  r_2h_2^{2}
where:
V₂ - the volume of the cone
r₂ - the radius of the cone
h₂ - the height of the cone

Since <span>the cone fits exactly inside of the cylinder, they have the same radius and the height:
r</span>₁ = r₂
h₁ = h₂

Also:
V₁ = 5

Now, let's write two volume formulas together:
V_1= \frac{ \pi r^{2} h}{3}
<span>V_2= \pi rh^{2}</span>

We can include V₂ into V₁:
V_1= \frac{V_2}{3}

⇒ V_2=3*V_1
V_2=3*5 in^{3}
V_2=15 in^{3}
5 0
3 years ago
5х – 2 = 3х + 4 sove equation for x​
Kazeer [188]

Answer:

x=3

Step-by-step explanation:

5х - 2 = 3х + 4

5х - 3х = 4 + 2

2х = 6

х = 6/2

х = 3

Hope this helps!

8 0
2 years ago
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The graph of the piecewise function includes
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