Hats, T-shirts, and jackets are sold at a rock concert. 3 hats, 2 shirts, and one jacket costs $140. Two hats, two shirts, and 2 jackets cost $170. One hat, 3 shirts, and 2 jackets cost $180. Create a system of 3 equations to model the situation. Assume the price of hats is x, shirts is y and jackets is z.

The temperature dropped an average of 3 Fahrenheit per 1 hour.

The slope = -3/1

The question is incomplete. The full question is below.

The path of a particular punt follows the quadratic function

[tex]h(x)=\frac{-1}{8}(x-25)^{2}+50[/tex]

where h(x) is the height of the ball in yards and x corresponds to the horizontal distance in yards. Assume x=0 corresponds to midfield (the 50 yards line). For example, x=20 corresponds to the punter's own 30 yard line, whereas corresponds to the other team's 30 yard line.

a. Find the maximum height the ball achieves.

b. Find the horizontal distance the ball covers. Assume the height is zero when the ball is kicked and when the ball is caught.

Answer: a. Maximum height = 50

              b. Horizontal distance = 40

Step-by-step explanation: A quadratic function has its maximum or minimum point on its vertex.

When the function is negative, function has a maximum point.

The quadratic function h(x) is written in vertex form, meaning the coordinate of vertex is explicit in the function.

General vertex form: [tex]f(x)=A(x-h)^{2}+k[/tex]

A is vertical scaling parameter

(h,k) are the coordinates of vertex

So, the quadratic function for the height for the ball:

[tex]h(x)=\frac{-1}{8}(x-25)^{2}+50[/tex]

shows its vertex:

(h,k) = (25,50)

a. The maximum height the ball achieves the maximum value corresponds to the y-axis, which means, maximum height is 50 yards.

b. Horizontal distance is when h(x)=0, so:

[tex]\frac{-1}{8}(x-25)^{2}+50=0[/tex]

[tex]\frac{-1}{8}(x-25)^{2}=-50[/tex]

[tex](x-25)^{2}=400[/tex]

[tex]x^{2}-50x+625=400[/tex]

[tex]x^{2}-50x+225=0[/tex]

Solving quadratic equation:

[tex]x_{1}=\frac{50+\sqrt{1600} }{2}[/tex] = 45

[tex]x_{2}=\frac{50-\sqrt{1600} }{2}[/tex] = 5

When ball is kicked, it is in position 5. When is caught, is position 45. So, distance the balls covers is 40 yards.

Answer:

P= 38cm

Step-by-step explanation:

4+4+15+15=38cm

Answer:

The concentration of pollutants in the water can be defined as the quotient between the mass of pollutants and the total mass of water.

Assuming that 1L of water weighs 1000 grams, we know that:

Mass of pollutants = 5mg = 0.005g.

Initial concentration = 0.005g/1000g = 0.000005

If we multiply this by 100%, we get the percentage:

0.000005*100% = 0.0005%

Now, the mass of pollutants decreases by 10% each hour.

So if initially, we have 5mg

After one hour, we will have: 5mg - 0.1*5mg = 5mg*(0.9).

After another hour, we will have: 5mg*(0.9) - 0.1*5mg*0.9 = 5mg*(0.9)^2.

And so on, then after n hours, the mass of pollutants will be:

M(n) = 5mg*(0.9)^n

Or we can write this in grams as:

M(n) = 0.005g*(0.9)^n

Then the concentration as a function of time in hours will be:

C(n) = M(n)/1000g = (0.005g/1000g)*(0.9)^n

Notice that the thing between the parentheses is the initial concentration, then if we write this in percentage form:

c(n) = 100%*(0.005g/1000g)*(0.9)^n = 0.0005%*(0.9)

The function that represents the concentration of polution in the water as a function of hours is:

c(n) = 0.0005%*(0.9)

Answer:

b

Step-by-step explanation:

pls brainliest

AnswAnswerer:

The relative frequencies add to 100% for each row.

Step-by-step explanation:

Answer:

He would weigh 78.9 kilograms. hope this helps.

[tex] \frac{8}{5} \times \frac{4}{3} = \frac{32}{15} = 2 \frac{2}{15} \\ [/tex]

So the correct answer is D

Answer:

6/10/18

Step-by-step explanation:

Because all I did was multiply each number by two and you would still get the same answer

Answer:

in explanation

Step-by-step explanation:

angle rules say that those angles respond to each other meaning

they will equal each other

so 6x-4=4x+14

now solve for x

x=9

the top angle will be

6(9)-4=50

bottom angle will be 50

4(9)+14=50

Answer:

This is easy just like the other one you posted before

b+53+245=360

b+298=360

b=360-298

b=62

Answer:

62

Step-by-step explanation:

360 degrees is the total … You get the point.

360 degrees - 245 degrees

= 115 degrees

Now, we go onto the angle

The total measure of the angle is 115 degrees

The angle has been split into two angles. On of the angles measure is 53 degrees. To find the measure of the other angle, you have to subtract the measure of the angle that was given 53 degrees) by the total measure (115 degrees):

115 degrees - 53 degrees

= 62 degrees

Hope this helped you!

Do well on your test!!!

Answer:

7x

Step-by-step explanation:

Step-by-step explanation:

Perimeter of a rectangle=2(length+width)

290=2(x+2x+5)

290=6x+10

280=6x

x=46.67

width=2x+5=98.33

Answer:

Step-by-step explanation:

If MP bisects ∠BMS, then the line MP divides <BMS equally;

The adition postulate if therefore true;

<BMP +< PMS = <BMS and <BMP = < PMS

The equation becomes;

<BMP +< BMP= <BMS

2 <BMP = <BMS

2(2x+9) = 7x - 3

4x+18 = 7x-3

collect like terms

4x-7x = -3-18

-3x = -21

x = 21/3

x = 7

Since <BMP = < PMS 2x+9

< PMS = 2(7)+9

< PMS = 14+9

< PMS = 23

Hence the value of < PMS is 23

y = mx + c

y intercept= (0,-4) , x intercept = (3,0)

m = (y2-y1)/(x2-x1)

m = (0-(-4))/(3-0)

m = 4/3

0 = (4/3)(3)+ c

c = -4

Thus, the equation is y = 4/3 x -4

Hope it helps :)

Mark it as Brainliest answer pls :)

Answer:

see below

Step-by-step explanation:

given: size of television is height = 37 in,  length = 71 in.

A.  using Pythagorean theorem:

parts given are legs which is the sides

looking for the hypotenuse.

B.  formula:

a² + b² = c²    or   H² + L² = D²

where H = height = 37

           L = length = 71

           D = diagonal (which is req'd)

C.   D² = 37² + 71²

      D = [tex]\sqrt{1369+ 5041}[/tex]

      D = [tex]\sqrt{6410}[/tex]

     D = 80 in (missing length)

D. size of television:

    37 x 71 in

    Diagonal is 80 in

hope it helps and good luck!

Answer:

Domain: (-infinity,infinity)

Step-by-step explanation:

You're welcome. :)

(I couldn't write the symbols) So I wrote infinity. Hopefully I helped!

Answer:

Hi there!

Your answer is:

W=17.5feet

Step-by-step explanation:

We use the surface area form for a cuboid:

2h(l+w)=SA

Fill in the known values!

2(2)* (5+ W) = 90

Solve for W!

4*(5+W)=90

20+4w=90

-20

4w=70

/4

W=17.5feet

Answer: Required 99% confidence interval  : (48.30%, 61.7%)

Step-by-step explanation:

Confidence interval for PROPORTION:  [tex]p\pm z^* \times S.E.[/tex], where p = sample proportion , z* = two-tailed critical z-value  and S.E. = standard error.

As per given: p=55%

Critical z-value for 99% confidence = 2.576

S.E. = 2.6%

Then, required confidence interval :

[tex]55\% \pm (2.576)\times 2.6\%\\\\\approx55\% \pm6.70\%\\\\=(55\%-6.70\%,\ 55\%+6.70\%)\\\\=(48.30\%,\ 61.7\%)[/tex]

Required 99% confidence interval  : (48.30%, 61.7%)

Answer: 88.2

..........................

Answer:

m=1/2

Step-by-step explanation:

y1= 1

y2=6

x1= -10

x2-0

m= slope

m= y2-y1/x2-x1

m=6-1/0 - - 10

m= 6-1/0+10

m=5/10

m=1/2

Answer:

75 grams

Step-by-step explanation:

If 25 cm = 10 grams

Then 1 cm = 25/10

1 cm = 2.5 grams

To find 30 cm = 2.5 times 30 grams

30 cm = 75 grams

70 is the mean

95+84+31 =210

210/3 = 70

Answer:

mark me brainlest

Step-by-step explanation:

7

packets

Explanation:

Steve needs to know how many groups of 12 there are in the 75 students.

75

÷

12

=

6

1

4

However, Steve can only buy full packets of 12.

He needs 7 packets of apples.

I he only buys 6, there will not be enough for all the 5th Graders.

Answer:

2 6/7

Step-by-step explanation:

You have to use the KEEP CHANGE CHANGE method. When you do this you end up with 4/7*5/1 which equals 20/7 and you then change that into a mixed number and you have your answer!

HOPE THIS HELPS!

Answer:

The answer is 2 6/7

Step-by-step explanation:

First, you set up the problem.

[tex]\frac{4}{7} / \frac{1}{5}[/tex]

Next, you change the division sign into multiplication

[tex]\frac{4}{7} x \frac{1}{5}[/tex]

Then you flip the 1/5

[tex]\frac{4}{7} x \frac{5}{1} \\[/tex]

Afterward, you multiply fractions straight across.

[tex]\frac{4}{7} x \frac{5}{1} =\frac{20}{7}[/tex]

Finally, you will simplify your answer into a mixed number.

[tex]\frac{20}{7} = 2 6/7[/tex]

Hope this helps!!

Answer:

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. Note: This rule must be satisfied for all 3 conditions of the sides.

Answer:

[tex]x^{2}[/tex] + 3x - 8 = 0

Step-by-step explanation:

9414 1404 393

Answer:

  24.  5

  25.  0

  26.  -7

  27.  1

Step-by-step explanation:

When you're asked to find f(n), locate n on the x-axis, then move up or down along the grid line until you meet the curve. Then move horizontally to the f(x) axis and read the value from that.

This process is illustrated in the attachment.

__

To find f(x) = n, reverse the process. Locate n on the f(x) axis, then move horizontally to the curve, then vertically to the x-axis. That is the value of x you're looking for.

_____

For this graph, and many unmarked graphs, it is often reasonable to assume each grid square is 1 unit in either direction. (The graph title or axis labels may tell you differently.)

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The distance is 12 because all you have to do is add the -7 and the 5 (drop the negative add it as if it's 7 and 5) and that'll give you 12.