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lara31 [8.8K]
3 years ago
13

Solve for the unknown variable "x" in the following linea equation: 2 ( 2x + 20) = 80 X =

Mathematics
1 answer:
Stella [2.4K]3 years ago
4 0

Step-by-step explanation:

2(2+20)=80

4+40=80 (Distribute)

4+40-40=80-40(Subtract from both sides of the equation)

4=40(Simplify)

4/4=404/4(Divide both sides of the equation by the same term to get x=10)

=10

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Use differentials to approximate the change in the volume of a cube when the side is decreased from 8 to 7.99 cm. (in cm3)
Firlakuza [10]

Answer:

  -1.92 cm³

Step-by-step explanation:

The formula for the volume of a cube in terms of side length is ...

   V = s³

Then the first-order approximation of volume for a small change ∆s in side length is ...

  V(s +∆s) ≈ V(s) + V'(s)·∆s

and the change in volume is ...

  ∆V ≈ V(s +∆s) -V(s) = V'(s)·∆s

The derivative V'(s) is ...

  V'(s) = 3s²

so the change in volume for s = 8 cm and ∆s = -0.01 cm is ...

  ∆V ≈ 3s²·∆s = 3(8 cm)²(-0.01 cm) = -1.92 cm³

 

4 0
3 years ago
Simplify 5 1/3•5 2/3
Nadusha1986 [10]

Answer:

17 7/9 or 17.7

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
15 deliveries in 5 hours = deliveries per hour
lyudmila [28]

Answer:

3 deliveries per hour

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8 0
3 years ago
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Keith as 11/12 hours to play, he has already played 1/4. which is the best estimate of the fractional part of an hour he has lef
____ [38]

Answer:

The best estimate is greater than 1/2 but less than 3/4

Step-by-step explanation:

If you multiply 1/4 by 3/3 (which is also 1), you can change the denominator without changing the value.  So 1/4 is equal to 3/12.

Since keith has 11/12 hours to play, and he has already played 3/12 hours, subtract 3/12 from 11/12 to get 8/12 hours. This is how much time he has left to play.  

If you simplify 8/12 hours, you get 2/3 hours.

So the best estimate would be: greater than 1/2 but less than 3/4.

4 0
3 years ago
A new library, L, is to be built at some point along a straight road, R, such that its distance from train station, T, is the sh
andreyandreev [35.5K]

Answer:

Coordinates of the new library is (150, 70)

Step-by-step explanation:

To get the shortest possible distance means that line from point T to point R has to be perpendicular.

Now, the equation of R is given as;

y = x - 80 - - - (1)

For T to be perpendicular, it means it will have a slope equal to the negative reciprocal of line R.

Thus, slope of T is -1/1 = - 1

Thus, using line - slope intercept of y = mx + c, we can find equation of T as;

140 = -1(80) + c

140 = -80 + c

c = 140 + 80

c = 220

Thus, equation is;

y = -x + 220 - - - (eq 2)

Adding equation 1 to equation 2,we have;

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y = 140/2

y = 70

Putting 70 for y in eq 1 gives;

70 = x - 80

x = 70 + 80

x = 150

Thus;

Coordinate of the new library is (150, 70)

8 0
3 years ago
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