14. Write the ratio of 2 cups of apple juice to 5 cups of orange juice the 3 different ways.

12/35 = 36/X find x step by step

Zigmanuir [339]

Answer:

x = 105°

Step-by-step explanation:

Question :

$\frac{12}{35} =\frac{36}{x}$

You can use cross multiplication to solve this.

Let us solve now

$\frac{12}{35} =\frac{36}{x}$

12 × x = 35 × 36

12x = 1260

Divide both sides by 12.

x = 105°

Hope this helps you :-)

8 0

1 year ago

Read 2 more answers

My last geometry question plz help

Anvisha [2.4K]

It’s c but u actually don’t know

3 0

2 years ago

A store sells coats and umbrellas. On Monday, the store sells 7 coats and 12 umbrellas for a total of $399.45. On

laiz [17]

Answer:

28.35

Step-by-step explanation:

Let cost of 1 coat = c.

Let cost of 1 umbrella = u.

7c + 12u = 399.45;

3c + 25u = 503.80

Multiply both sides of the first equation by 25.

Multiply both sides of the second equation by 12.

175c + 300u = 9986.25

36c + 300u = 6045.6

Subtract the second equation from the first equation eliminating u. Then solve for c.

139c = 3940.65

c = 28.35

Answer: A coat costs $28.35.

3 0

1 year ago

Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite. 3x + 2y = 6

Elanso [62]

The solution set for the system of equations contains one point

The system of the equations has one solution

Step-by-step explanation:

The system of the linear equations has:

1 solution if the 2 lines that represent the equations intersect each other in one point
No solution "{}" if the 2 lines that represent the equations are parallel
Infinite solutions if the 2 lines that represent the equations are coincide (same line)

→ Intersected lines have different slopes

→ Parallel lines have same slopes and different y-intercepts

→ Coincide lines have same slopes and same y-intercepts

Let us put each equation in the form y = m x + c, where m is the slope

and c is the y-intercept

∵ 3x + 2y = 6

- Subtract 3 x from each side

∴ 2y = 6 - 3 x

- Divide both sides by 2

∴ y = 3 - 1.5 x

∴ y = -1.5 x + 3

∵ y = m x + c

∴ m = -1.5 and c = 3

∵ x - y = 2

- Subtract x from both sides

∴ -y = 2 - x

- Divide both sides by -1

∴ y = -2 + x

∴ y = x - 2

∵ y = m x + c

∴ m = 1 and c = -2

∵ The two equations have different slopes

∴ The two line are intersected in a point

∴ The system of the equations has one solution

The solution set for the system of equations contains one point

The system of the equations has one solution

Learn more:

You can learn more about the system of equations in brainly.com/question/13168205

#LearnwithBrainly

7 0

3 years ago

Find all solutions to the equation in the interval [0, 2π). (3 points) cos 4x - cos 2x = 0 0, two pi divided by three. , four pi

salantis [7]

Answer:

$x=0,x=\pi,x=\frac{\pi}{3},x=\frac{2\pi}{3},x=\frac{4\pi}{3},x=\frac{5\pi}{3}$

Step-by-step explanation:

This is a trigonometric equation where we need to use the cosine of the double-angle formula

$cos4x=2cos^22x-1$

Replacing in the equation

$cos4x - cos2x = 0$

We have

$2cos^22x-1 - cos 2x = 0$

Rearranging

$2cos^22x - cos 2x-1 = 0$

A second-degree equation in cos2x. The solutions are:

$cos2x=1,cos2x=-\frac{1}{2}$

For the first solution

cos2x=1 we find two solutions (so x belongs to [0,2\pi))

$2x=0, 2x=2\pi$

Which give us

$x=0,x=\pi$

For the second solution

$cos2x=-\frac{1}{2}$

We find four more solutions

$2x=\frac{2\pi}{3},2x=\frac{4\pi}{3},2x=\frac{8\pi}{3},2x=\frac{10\pi}{3}$

Which give us

$x=\frac{\pi}{3},x=\frac{2\pi}{3},x=\frac{4\pi}{3},x=\frac{5\pi}{3}$

All the solutions lie in the interval $[0,2\pi)$

Summarizing. The six solutions are

$x=0,x=\pi,x=\frac{\pi}{3},x=\frac{2\pi}{3},x=\frac{4\pi}{3},x=\frac{5\pi}{3}$

4 0

3 years ago