Dwight is making accessories for the soccer team. He uses 648.62 inches of fabric on headbands for 39 players and 2 coaches. He also uses 331.89 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

You would just plug in numbers until you find two the work in the equation:

12x+9y=72

x=3 y=4

The correct answer is 3 adult tickets and 4 child tickets.

Answer:

awnser one is 7 and question 2 is -10

Step-by-step explanation:

−12−2−−55=?  question one

In the first fraction, the negative numerator and negative denominator cancel each other.

Since the the second fraction is negative and you are subtracting, remove the negative sign and switch the operation to addition.

The equivalent equation is

122+55=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(12/2, 5/5) = 10

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(122×55)+(55×22)=?

Complete the multiplication and the equation becomes

6010+1010=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

60+1010=7010

Since 70 divided by 10 equals 7 then,

7010=7

Therefore:

−12−2−−55=7    

Question 2

−81+6−3=?

In the second fraction, move the negative sign from the denominator to the numerator and the value remains the same.

The equivalent equation is

−81+−63=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(-8/1, -6/3) = 3

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(−81×33)+(−63×11)=?

Complete the multiplication and the equation becomes

−243+−63=?

The two fractions now have like denominators so you can add the numerators.

Then:

−24+−63=−303

Since -30 divided by 3 equals -10 then,

−303=−10

Therefore:

−81+6−3=−10

Solution by Formulas

Apply the fractions formula for addition, to

−81+6−3

and solve

(−8×−3)+(6×1)1×−3

=24+6−3

=30−3

=−10

Answer:

In summary:

- Axis of symmetry: Not determinable from the given information.

- X-intercepts: (-1, 0) and (1.5, 0).

- Y-intercept: Not determinable from the given information.

- Vertex: (-1, 4).

- Interval of decrease: (-∞, -1) and (1.5, ∞).

Step-by-step explanation:

To identify the axis of symmetry, x-intercepts, y-intercept, and vertex of a graph, we need to analyze the given information and graph:

1. Axis of symmetry: The axis of symmetry is a vertical line that divides the graph into two symmetric halves. It is represented by the equation x = h, where h is the x-coordinate of the vertex. Based on the given information, we don't have the equation of the graph or the value of h, so we cannot determine the axis of symmetry.

2. X-intercepts: X-intercepts are the points where the graph intersects the x-axis. These points have a y-coordinate of 0. From the given information, we have the x-intercepts as follows:

- First x-intercept: (-1, 0)

- Second x-intercept: (1.5, 0)

3. Y-intercept: The y-intercept is the point where the graph intersects the y-axis. It has an x-coordinate of 0. From the given information, we don't have the y-intercept, so we cannot determine its value.

4. Vertex: The vertex is the highest or lowest point on the graph. It has an x-coordinate and a y-coordinate. From the given information, we have the vertex as follows:

- Vertex: (-1, 4)

Now, let's determine the interval in which the function is decreasing. To do this, we need to analyze the graph and observe where the graph is sloping downwards or decreasing. From the given information, we can see that the graph is decreasing in the interval (-∞, -1) and in the interval (1.5, ∞). These intervals represent the regions on the x-axis where the function is decreasing.

Answer:

x=6.5

Step-by-step explanation:

7(x-2)=3(x+4)

Step 1. Distribute

7x-14=3x+12

Step 2. Combine like terms and calculate

4x=12+14

Step 3. Divide 4 on both sides

4x=26

Solution:

x=6.5

Hope this helps! :)