MATHEMATICS HIGH SCHOOL

To make a specific hair dye, a hair stylist uses a ratio of 1 1/8 oz of red tone, 3/4 oz of graytone, and 5/8 oz of brown tone. If the stylist needs to make 20 oz of dye, how much of
each dye color is needed

Answers

Answer 1

Answer:

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.

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Given the perimeter of a rectangle and either the length or width, find the unknown measurement using the appropriate formula.The perimeter is 70ft . and the width is 16ft .
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Simplify the expressions using the distributive property.8(7x + 3)5(5y - 2)

Calculate the average density of the unknown liquid.

Answers

Step-by-step explanation:

students did 30 years ago? 1) True 2) False

Shelly ran 21/4 miles. Lynne ran 31/8 miles. Who ran farther and by how much

Answers

Lynne ran farther by 7/8 miles.

LYNNE RAN BY 7/8 MILES.

There are 39 students.The number of students that play football is twice as much as the number of students that play volleyball.9 students play both sports.WHAT IS THE NR OF STUDENTS THAT ONLY PLAY FOOTBALL?

Answers

Answer:

Step-by-step explanation:

There are a total of 39 students.

students.

The number of students that play football is twice as much as the number of students that play volleyball.

Let the number that plays volleyball be x then the number that plays football will be 2x. This we have

x + 2x = 39

3x = 39

x = 13

The total number that plays volleyball is 13.

The total number that plays football will be 2 x 13 = 26

Since 9 students play both sports, the number of students that plays only football will be 26 - 9 = 17.

What is an equation of the line that passes through the points (3,1)is parallel to the line 2X+3Y=24?

Answers

Answer: 2X + 3Y = 24 is Y = (-2/3)X + 3.

Step-by-step explanation:

To find the equation of a line parallel to the line 2X+3Y=24 and passing through the point (3,1), we need to follow these steps:

1. First, let's rearrange the equation 2X+3Y=24 into slope-intercept form, which is Y = MX + B, where M is the slope and B is the y-intercept.

2X + 3Y = 24

3Y = -2X + 24

Y = (-2/3)X + 8

2. The given line has a slope of (-2/3). Since the line we want to find is parallel, it will have the same slope. Therefore, the equation of the line passing through (3,1) will also have a slope of (-2/3).

3. Next, we can use the point-slope form of a line to find the equation. The point-slope form is given by:

Y - Y1 = M(X - X1)

where (X1, Y1) is the given point (3,1), and M is the slope (-2/3).

4. Plugging in the values, we have:

Y - 1 = (-2/3)(X - 3)

5. Simplifying the equation further, we get:

Y - 1 = (-2/3)X + 2

6. To obtain the equation in slope-intercept form, we can isolate Y by adding 1 to both sides:

Y = (-2/3)X + 2 + 1

Y = (-2/3)X + 3

Therefore, the equation of the line that passes through the point (3,1) and is parallel to the line 2X + 3Y = 24 is Y = (-2/3)X + 3.

kelli calls her grandmother every month.Every other month,kelli also calls her cousin.if kelli calls her cousin in january,how many calls kelli have made to her grandmother and her cousin by the end of august.?

Answers

August is the 8th month
This means Kelli has called her grandmother 8 times
As she calls her cousin every other month and starts in January, this means she calls in January, March, May and July- 4 times.
Therefore, 8+4=12
Kelli has made 12 calls so far
Hope this helps :)

Can you help me please i don't understand