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kramer
3 years ago
5

Solve for x 2/3 + x / 3 = 4

Mathematics
1 answer:
Stolb23 [73]3 years ago
8 0

You said . . . . . 2/3 + x/3  =  4

Subtract  2/3  from each side:  x/3 = 3-1/3

Multiply each side by 3:   3 · (x/3) =  3 · (3-1/3)

Simplify that mess :   x = 10

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A recipe for 8 people includes 4 pounds of sugar. How many pounds of sugar would be necessary for 6 people?
sammy [17]

Answer:

3pound sugar .,......................

3 0
2 years ago
Is 6.3 > 6.04 reasonable yes or no Explain
Brums [2.3K]

Answer:

Yes

Step-by-step explanation:

By rounding to the 10ths place, we can easily see that 6.3 is greater than 6.04. 6.3 is already rounded to the 10ths place, but 6.04 rounded to the 10ths place is 6.0.

6.3 is clearly more than 6.0, therefore 6.3 is greater than 6.04.

3 0
2 years ago
Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function.
marishachu [46]

Answer:

\text{Possible rational zeros}=\pm1,\pm\frac{1}{2},\pm2,\pm3,\pm\frac{3}{2},\pm6,\pm9,\pm\frac{9}{2},\pm18

Step-by-step explanation:

We have been given the function

f(x)=-2x^2+4x^3+3x^2+18

From the rational zeros theorem, we have

\text{Possible rational zeros}=\pm\frac{\text{Factors of constant term}}{\text{Factors of leading coefficient}}

From the given function,

Leading coefficient = 2

Factors of 2 are 1,2

Constant term = 18

Factors of constant term = 1, 2, 3, 6, 9, 18

Hence, we have

\text{Possible rational zeros}=\pm\frac{1,2,3,6,9,18}{1,2}\\\\\text{Possible rational zeros}=\pm1,\pm\frac{1}{2},\pm2,\pm3,\pm\frac{3}{2},\pm6,\pm9,\pm\frac{9}{2},\pm18

6 0
3 years ago
72=8×9 times as many
Alexeev081 [22]

Answer:

9x8=72

Step-by-step explanation:

Your welcome

4 0
3 years ago
R leaks out of a barrel so that the rate of change in the water level is proportional to the square root of the depth of the wat
Irina-Kira [14]
Let y(t) represent the level of water in inches at time t in hours. Then we are given ...
  y'(t) = k√(y(t)) . . . . for some proportionality constant k
  y(0) = 30
  y(1) = 29

We observe that a function of the form
  y(t) = a(t - b)²
will have a derivative that is proportional to y:
  y'(t) = 2a(t -b)

We can find the constants "a" and "b" from the given boundary conditions.
At t=0
  30 = a(0 -b)²
  a = 30/b²
At t=1
  29 = a(1 - b)² . . . . . . . . . substitute for t
  29 = 30(1 - b)²/b² . . . . . substitute for a
  29/30 = (1/b -1)² . . . . . . divide by 30
  1 -√(29/30) = 1/b . . . . . . square root, then add 1 (positive root yields extraneous solution)
  b = 30 +√870 . . . . . . . . simplify

The value of b is the time it takes for the height of water in the tank to become 0. It is 30+√870 hours ≈ 59 hours 29 minutes 45 seconds
5 0
3 years ago
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