All categories

3 years ago

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

Mathematics

1 answer:

nadezda [96]3 years ago

5 0

Answer:

We can call the amounts of red, gray, and brown dye 1 1/8x, 3/4x and 5/8 x respectively and we can write the equation:

1 1/8x + 3/4x + 5/8x = 20

2 1/2x = 20

x = 8 which means that the stylist needs 1 1/8 * 8 = 9 oz red, 3/4 * 8 = 6 oz gray and 5/8 * 8 = 5 oz brown.

You might be interested in

Use the properties of operations to determine if each pair of expressions is equivalent

SIZIF [17.4K]

Using the properties of operations the given pair of expressions are not equivalent

Solution:

Given that, we have to use the properties of operations to determine if each pair of expressions is equivalent

And the two expressions are:

$\frac{1}{2}(4-2 x) \text { and } 2-2 x$

Now, we know that, there are four (4) basic properties of operations:

Commutative, Associative, Distributive and Identity. These properties only apply to the operations of addition and multiplication.

So, if we observe we can apply distributive property on 1st expression

The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum.

$\begin{array}{l}{\frac{1}{2}(4-2 x) \rightarrow \frac{1}{2}(4)-\frac{1}{2}(2 x)} \\\\ {\rightarrow 2-x}\end{array}$

Here the resulting expression is 2 – x and it is not equivalent to 2 – 2x

Hence, the given two expressions are not equal.

3 0

3 years ago

-5x -x equals 2 + x⁣

kozerog [31]

Answer:

2/5

Step-by-step explanation:

= -5x - x = 2 + x

= -5x - x - x = 2

= x - x - x = -2/5

= -x = -2/5

= x = 2/5

4 0

3 years ago

Emily and her family are planning to fly to Italy over the summer. If they fly out from LAX, the distance of the trip will be 6,

Iteru [2.4K]

The speed is the ratio between the distance and the time:

$s=\frac{d}{t}$

Data:

d=6343miles

t=9h

$s=\frac{6343\text{miles}}{9h}=704.77\frac{miles}{h}$ Then, the plane traveled at a speed of 704.77 miles per hour.

8 0

1 year ago

What is a formula for the nth term of a given sequence

IceJOKER [234]

Answer:

$a_n=-12-4(n-1)$

Step-by-step explanation:

The given sequence is

-12,-16,-20...

The first term of this sequence is $a_1=-12$ .

The common difference is

$d=-16--12$

$d=-16+12=-4$

The nth term of this arithmetic sequence is;

$a_n=a_1+d(n-1)$

We substitute the values for the first term and the common difference to obtain;

$a_n=-12-4(n-1)$

5 0

3 years ago

Read 2 more answers

Which number is prime? 63 51 61 57

kondor19780726 [428]

Hey there!

No numbers go into a prime number other than one and that number. 9 and 7 go into 63, so it’s not 63. 3 and 17 go into 51, so it’s not 51. 19 and 3 go into 57, so it’s not 57. That leaves 61. Nothing goes into this other than one and 61, so the answer is 61.

I hope this helps!

7 0

3 years ago