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madreJ [45]
3 years ago
13

9. Chocolate Co. mixes two kinds of chocolate bars

Mathematics
1 answer:
Sphinxa [80]3 years ago
5 0

9514 1404 393

Answer:

  • 1 pound of expensive chocolate
  • 2 pounds of other chocolate

Step-by-step explanation:

Let <em>e</em> represent the number of pounds of expensive chocolate in the bag. Then (3-e) is the amount of the other chocolate. The total cost of the bag will be ...

  6.00e +4.50(3 -e) = 15.00

  1.50e = 1.50 . . . . . . collect terms, subtract 13.50

  e = 1 . . . . . . . . . . . . .divide by 1.50

1 pound of expensive chocolate is used; 2 pounds of other chocolate is used.

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Please hurry simplify the expression (15^1/5)^5
Lelu [443]

Answer:

15

Step-by-step explanation:

using the rule of exponents

(a^m)^{n} = a^{mn}

(15^{\frac{1}{5)} } ^{5} = 15^{(1/5(5))} = 15^{1} = 15


5 0
2 years ago
You are given the parametric equations x=2cos(θ),y=sin(2θ). (a) List all of the points (x,y) where the tangent line is horizonta
vladimir1956 [14]

Answer:

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

Step-by-step explanation:

The slope of the tangent line at a point of the curve is:

m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

m = -\frac{\cos 2\theta}{\sin \theta}

The tangent line is horizontal when m = 0. Then:

\cos 2\theta = 0

2\theta = \cos^{-1}0

\theta = \frac{1}{2}\cdot \cos^{-1} 0

\theta = \frac{1}{2}\cdot \left(\frac{\pi}{2}+i\cdot \pi \right), for all i \in \mathbb{N}_{O}

\theta = \frac{\pi}{4} + i\cdot \frac{\pi}{2}, for all i \in \mathbb{N}_{O}

The first four solutions are:

x:   \sqrt{2}   -\sqrt{2}  -\sqrt{2}  \sqrt{2}

y:     1        -1        1     -1

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

6 0
2 years ago
-12x + 18y = 21<br>(6x -9 = -9​
Leokris [45]

Answer:

x = 0 , y = 7/6

Step-by-step explanation:

Solve the following system:

{18 y - 12 x = 21

6 x - 9 = -9

In the second equation, look to solve for x:

{18 y - 12 x = 21

6 x - 9 = -9

Add 9 to both sides:

{18 y - 12 x = 21

6 x = 0

Divide both sides by 6:

{18 y - 12 x = 21

x = 0

Substitute x = 0 into the first equation:

{18 y = 21

x = 0

In the first equation, look to solve for y:

{18 y = 21

x = 0

Divide both sides by 18:

{y = 7/6

x = 0

Collect results in alphabetical order:

Answer: {x = 0 , y = 7/6

4 0
3 years ago
Need help ASAP with the correct answer
Ymorist [56]
F = 2t - 3
f = 2(7) - 3
f = 14 - 3
f = 11
4 0
3 years ago
What is the area of this parallelogram? PLEASE HELP
zimovet [89]

Answer:

B

Step-by-step explanation:

the area of a parallelogram is the length of one of the sides multiplied with the length of the height on this side.

so, in this case it is

4×5 = 20 cm²

5 0
2 years ago
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