Morgan is making accessories for the soccer team. She uses 542.92 inches of fabric on headbands for 45 players and 4 coaches. She also uses 396.45 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Answer:

x = 10

Step-by-step explanation:

Answer:

All real numbers are solutions to this problem.

Step-by-step explanation:

I) Simplify:

2(x + 4) - 1 = 2x + 7

x + 4 - 0.5 = x + 3.5 (Divide by 2)

x + 3.5 = x + 3.5 (Simplify x + 4 - 0.5)

x = x

II) Conclusion:

Any real number will work as a solution.

9514 1404 393

Answer:

 IS a parallelogram

Step-by-step explanation:

The slope formula for the slope of the line between points (x1, y1) and (x2, y2) is ...

  m = (y2 -y1)/(x2 -x1)

The distance formula for the length of that same line is ...

  d = √((x2 -x1)^2 +(y2 -y1)^2)

Here, you're asked to use each of these formulas 4 times, once for each side of the quadrilateral. I find it convenient to let a calculator or spreadsheet do the repetitive calculations. The result is attached.

The attachment shows that opposites sides have the same length and slope, so are parallel. The quadrilateral is a parallelogram. (The two points used in each calculation are the ones on the result line and the line immediately below. That is why point B is copied to the end of the list.)

_____

Additional comments

There are much simpler ways to prove the figure is a parallelogram. My favorite is to add the coordinates of the end points of the diagonals:

  B +D = (-2+6, -9-3) = (4, -12)

  C +E = (0+4, -5-7) = (4, -12)

These values being the same demonstrates the midpoints of the diagonals are coincident. That will only be the case if the quadrilateral is a parallelogram.

__

If you must use slope and distance formulas, showing either pair of opposite sides is parallel and have the same length is sufficient to guarantee that the other two sides are also parallel and have the same length. That is, the calculations required in this problem only need to be applied to one pair of opposite sides. (Using a spreadsheet, it's not a lot of extra work to do the calculations for both pairs of opposite sides.)

Answer:

47

Step-by-step explanation:

Let's solve your equation step-by-step.

−4x−3(−44−23)=13

Step 1: Simplify both sides of the equation.

−4x+201=13

Step 2: Subtract 201 from both sides.

−4x+201−201=13−201

−4x=−188

Step 3: Divide both sides by -4.

−4x

−4

=

−188

−4

x=47

Formulas:

A= πr²

d= 2r

Solving:

A=14πd²=14·π·6²≈28.27433ft²

Hope I helped. :)

- Valenteer

(Please mark me as brainliest if this helped, that would be beneficial!)

(Thx for the points!)

Answer:

HIIIII GVJJHGNKJMJNNJ SEXIIIJBH

Step-by-step explanation:

Answer: Hi there are sex11  sigZaghahahahah

Step-by-step explanation:  What????????

Answer:

i

Step-by-step explanation:

i

Answer:

Top left

Step-by-step explanation:

Look at the numbers it's going through. The x axis is the one going side to side, y is up and down

Answer:

The roots of the quadratic equation  are  , .

Step-by-step explanation:

The roots of the quadratic equation  are  , .

Step-by-step explanation:

As given the equation in the form

Simplify the above equation

(x-2)-x = 3x × (x-2)

x-2 - x = 3x² - 6x

3x² - 6x + 2 = 0          

As the equation is written in the form ax² + bx + c = 0

a = 3 , b = -6 , c = 2

Put all the values in the above equation

Thus

Therefore the roots of the quadratic equation  are  , .

Answer:

d=78

Step-by-step explanation:

so you would divide both sides of the equation by 2×2

d×4÷(2×2)=78×4÷(2×2) <- you would do this to get rid of 4 so you cna get the d alone

d=78×4÷(2×2) <- thats the other side of the equation btw

then it would be:

d=39×2

d=78

Answer:

4(12x + 32) = 48x + 128

Step-by-step explanation:

Answer:

1 quintillion and 1.

Step-by-step explanation:

This is the number written out:

1000000000000000001

Answer:

151

Step-by-step explanation:

132.88 is 88% of the original price

132.88= p x .88=151

Answer:

The right answer is = so C ig

Answer:

c=214.28

plz mark as brainliest

Step-by-step explanation:

Answer:

C=0.4(285.7)+100

Step-by-step explanation:

C=0.4(285.7)+100

C= 114.28 + 100

C= 214.28

Answer:

[tex]18r+\frac{1}{2}(14)(r)=182[/tex]

Step-by-step explanation:

Area of the composite figure ABCDE = Area of triangle ABE + Area of the rectangle BCDE

Area of triangle ABE = [tex]\frac{1}{2}(32-18)(r)[/tex]

                                  = [tex]\frac{1}{2}(14)(r)[/tex]

Area of rectangle BCDE = 18 × r

                                        = 18r

Total Area = [tex]\frac{1}{2}(14)r+18r[/tex]

Therefore, equation to get the value of 'r' will be,

[tex]18r+\frac{1}{2}(14)(r)=182[/tex]

Answer:

355+480 is the same as 335+500

Step-by-step explanation:

355+480=835

835-335=500

∴355+480 is the same as 335+500

Answer:

Step-by-step explanation:

y=-3/5x+3, (2,-4)

-4=-3/5(2)+b

b=-14/5

y=-3/5x-14/5

Answer:

x = 7

y = -3

Step-by-step explanation:

the first equation is already solved for 'y' so we can substitute '-2x+11' for 'y' in second equation

3x + (-2x + 11) = 18

x + 11 = 18

x = 7

solve for 'y'

y = -2(7) + 11

y = -14 + 11

y = -3

Answer:

because this is a parallelogram

=> 3t - 15 = 2t + 10

⇔ t = 10 + 15

⇔ t = 25

with t = 25 => 3t - 15 = 3.25 - 15 = 60

we also have:

4r + (3t - 15) = 180°

⇔ 4r + 60° = 180°

⇒ 4r = 120°

⇔ r = 30

we also have;

4r = 3s

=> 4.30 = 3s

⇔ s = 4.10

⇔ s = 40

Step-by-step explanation:

You can use the fact that sum of all angles of a parallelogram is 360 degrees and the sum of two adjacent angles in a parallelogram is 180 degrees.

The value of the variables used in the figure are:

r = 30

s = 40

t = 25

[tex]4r + (3t - 15) + (2t + 10) + 3s = 360^\circ\\4r + 3s + 5t = 365[/tex]

And

[tex]3t - 15 + 4r = 180 \cdots (1)\\3t - 15 + 3s = 180\cdots (2)\\3s + 2t + 10 = 180\cdots (3)\\4r + 2t + 10 = 180\cdots (4)[/tex]

We get 2 systems of linear equations.

First system consists of equation 1 and equation 4

Second system consists of equation 2 and equation 3

From equation 1 and 4, as both's left side is equal to 180, thus they are equal too, or

[tex]3t - 15 + 4r = 4r + 2t + 10\\3t - 2t = 4r - 4r + 10 + 15\\t = 25[/tex]

Putting it in equation 1, we get:

[tex]3t - 15 + 4r = 180\\3 \times 25 + 4r = 180 + 15\\75 + 4r = 195\\\\r = \dfrac{195 - 75}{4} = 30[/tex]

Putting the value t = 25 in second equation, we get:

[tex]3t - 15 + 3s + 180\\3 \times 25 - 15 + 3s = 180\\60 + 3s = 180\\\\s = \dfrac{180 - 60}{3} = 40[/tex]

Thus, the values of the specified variables in the given graph are:

r = 30

s = 40

t = 25

Learn more about system of linear equations here:

: https://brainly.com/question/13722693

Answer:

9mnp

Step-by-step explanation:

Answer:

It's 3m - 5n + 7p lol

Answer:

This is what it should look like:

Answer:

x = 20

Step-by-step explanation:

Each line creates a 180° angle on each side of it. Since these lines intersect, they have congruent angles. This means that these two quantities can be set equal to each other.

3x + 50 = 6x - 10

Solve by combining like-terms and isolating x. Move the 3x to the right by subtracting it from both sides.

50 = 3x - 10

Move the 10 to the left by adding it to both sides.

60 = 3x

Divide the 3 from both sides to isolate the x.

x = 20

Furthermore, this can be checked by plugging in 20 to x and seeing if the expression is true.

3(20) + 50 = 6(20) - 10

110 = 110

Answer:

Step-by-step explanation:

one point is (-2,5)

5y-25=-11x-22

11x+5y=25-22

11x+5y=3

5y=3-11x

[tex]y=\frac{3-11x}{5} \\x=-2,y=5\\x=3,y=-6\\[/tex]

so points are (-2,5) and (3,-6)

draw a line through these points.

Answer:

20

Step-by-step explanation:

(2x)° + (2x)° + (6x - 20)° = 180°

10x = 200

x = 20

Answer:

Step-by-step explanation:

90(5/6)

450/6

75

9514 1404 393

Answer:

  75

Step-by-step explanation:

90 = 6 × 15

There are 15 6-day periods in 90 days. The gardener will have mowed ...

  15 × 5 = 75

times in those 15 periods.

He will mow 75 times in a 90-day period.

__

If you like, you can set up a proportion for the unknown number of mowings (m).

  mows/days = m/90 = 5/6

Multiply by 90 to solve for m.

  m = 90(5/6) = (90/6)(5) = 15(5) = 75 . . . . . . this should look like the above

Answer:

82.125

≈82.12 ( am not sure if it need to be estimated )

Step-by-step explanation:

1 hr -> 10.95

30m-> 5.475

10.95x7=76.65

76.65+5.475=82.125

                    ≈82.12 ( am not sure if it need to be estimated )

Answer:

[tex]3s^{4}t\\[/tex]

Step-by-step explanation: