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3 years ago

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:

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:

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

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2 years ago