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Julli [10]
3 years ago
12

To make a specific hair dye a hair stylist uses a ratio of 1 1/8 oz of red tone, 3/4 oz

Mathematics
1 answer:
sveticcg [70]3 years ago
4 0

Answer:

Step-by-step explanation:

To make 20 ounces of dye, we need 3 oz red tone, 6 oz of gray tone and 5 oz of brown tone.

im pretty sure this is right :)

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Suppose that y varies jointly with w and x and inversely with z and y = 320 when w = 6, x = 20, and z = 3.
makvit [3.9K]
I suppose we are to determine the proportionality constant of the variation. The equation for this proportionality is,
                          y = kwx / z
Substituting the known values,
                            320 = k(6)(20)/3
The value of k from the equation is 8. 
4 0
4 years ago
Read 2 more answers
A universal set contains only sets A and B. If A∩B = Ø and A and B are not the empty set, then all of the following are true exc
NNADVOKAT [17]

The <em>correct answer</em> is:


A∪B={}


Explanation:


Since A∩B = ∅, we know that A and B have no elements in common. This means they are disjoint.


Since the universal set is made up of A and B, and A and B have no elements in common, then A is equal to the complement of B, or A = B'.


Since A and B have no elements in common, A is not a subset of B.


Since we are told at the beginning that A and B are not the empty set, there is no way that their union would be empty. The union of A and B, or A∪B, would contain at least two distinct elements, one from A and one from B.

7 0
3 years ago
Read 2 more answers
If DE = X+1, EF = x-2, DF =15, and E is<br> between D and F. then DE = ?
mart [117]

Answer:

X =8

Step-by-step explanation:

DF = DE + EF

15 = X+1 + X-2

16 = 2X

X = 8

8 0
3 years ago
Sarah kicked a ball in the air. The function
Aleksandr-060686 [28]

Answer: The ball hits the ground at 5 s

Step-by-step explanation:

The question seems incomplete and there is not enough data. However, we can work with the following function to understand this problem:

f=30 t- 6t^{2} (1)

Where f models the height of the ball in meters and t the time.

Now, let's find the time t when the ball Sara kicked hits the ground (this is when f=0 m):

0=30 t- 6t^{2} (2)

Rearranging the equation:

6t^{2}-30 t=0 (3)

Dividing both sides of the equation by 6:

t^{2}-5 t=0 (4)

This quadratic equation can be written in the form at^{2}+bt+c=0, and can be solved with the following formula:  

t=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a} (5)  

Where:  

a=1  

b=-5  

c=0  

Substituting the known values:  

t=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(0)}}{2(1)} (6)  

Solving we have the following result:

t=5 s  This means the ball hit the ground 5 seconds after it was kicked by Sara.

6 0
3 years ago
9) Nancy starts a race at the start line and she is running 3 meters per second. Juan starts the same race 3 meters ahead of Nan
Travka [436]

Given:

Nancy is running 3 meters per second.

Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second.

To find:

The equations for Nancy and Juan.

Solution:

Let x be the number of seconds.

Nancy is running 3 meters per second. So, the total distance covered by Nancy in the race is

y=3x

Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second. So, the total distance covered by Juan in the race is

y=3+2x

Therefore, the equations of Nancy and Juan are y=3x and y=3+2x respectively.

5 0
3 years ago
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