1. A toy company finds there is a linear relationship between p, the price they charge for a playground ball, and n(p), the number of balls they sell during a year. When they charge $3, they sell 8000 balls during the year. However, sales drop to 5200 balls when they charge $5 each.
a. Write an equation for the linear function n(p).
b. Use your function to determine the number of balls they can expect to sell during the year if they charge $6.50 for a ball.

Answer:

x = 0.5

y = 4

Step-by-step explanation:

Find the point of intersection.

Answer:

[tex]y=\frac{3}{2} x[/tex]

Step-by-step explanation:

It’s clear that we there is a proportional relationship between the number of sashes and their cost.

then

[tex]\frac{y}{x} =\frac{12}{8}[/tex]

then

[tex]y= \frac{12}{8} x[/tex]

Or 12/8 = 3/2

Then

[tex]y=\frac{3}{2} x[/tex]

Answer:

a. false

b. false

c. true

Step-by-step explanation:

a. 2 kilograms = 2,000 grams

b. 12 feet is 144 inches (12 times 12, because 12 inches in a foot)

c. 10 kilometers = 10,000 meters

See

Compare to slope intercept form of line y=mx+b

Rate of change is slope

So

it's

Answer:

$2.50 per mile

Step-by-step explanation:

Given that,

→ y = mx + b

→ y = 2.5x + 7

The rate of change in cost per mile is,

→ slope

→ m

→ [ $2.5 ]

Hence, rate of change in cost is $2.5.

Answer:

x(x−9)

Step-by-step explanation:

x2−9x

=x(x−9)

Answer:

I think its:

Q1= x=(9+y)/2

Q2= x=(-20-6xy)/4

Step-by-step explanation:

Q1)

X-y=9

2x-y=9

2x=9+y

x=(9+y)/2

Q2)

4x-2y=-20

4x-2(-3x)=-20

4x+6xy=-20

4x=-20-6xy

x=(-20-6xy)/4

Answer:

66

Step-by-step explanation:

11 + 4 = 15

90 / 15 = 6

6 * 11 = 66

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

A=l x w

You would set the formula up like this:

A = (x - 5)(x - 6)

To solve this you would distribute. Starting at the x in (x - 5), you multiply it by the x in the second pair of parentheses, giving you x^2. Then, multiply the first x by -6, which gives you -6x. Once you've multiplied that first x by everything in the second set of parentheses, you move on to the second term, -5. You now multiply -5 by x, giving you -5x. And lastly, multiply -5 by -6, giving you positive 30(two negatives make a positive).

At this point you have:

A = x^2 - 6x - 5x + 30

The next step is to add like terms, the only ones here being -6x and -5x, which gives you -11x:

A = x^2 - 11x + 30

Being your final answer

I hope this helps you :)

So

Area

Answer:

Step-by-step explanation:

the tv is 815

815-79(down payment)=736

736 we will divide by 32 (monthly payments)

736/ 32=23

23 months

Answer:

Step-by-step explanation:

Answer:

n = 17

Step-by-step explanation:

The difference between the 5th and 6th terms is 13 - 11 = 2

Therefore, the next term can be found by adding 2 each time.

If we continue with this sequence, we get:

5 = 11

6 = 13

7 = 13 + 2 = 15

8 = 15 + 2 = 17

9 = 17 + 2 = 19

10 = 19 + 2 = 21

So n = 17

-------------------------------------------------------------------------------------

Arithmetic sequence

General form of an arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]

where:

Given terms of the sequence:

[tex]a_5=11\\a_6=13\\a_8=n\\a_{10}=21[/tex]

The common difference can be found by subtracting one term from the next term:

[tex]d=13-11=2[/tex]

To find a, substitute the found value of d into the equation for one of the given terms:

[tex]\begin{aligned}a_5 =a+(5-1)2 & =11\\ a+8 & =11\\ a & = 3\end{aligned}[/tex]

Therefore, the formula to find the nth term is:

[tex]\implies a_n=3+(n-1)2[/tex]

[tex]\implies a_n=2n+1[/tex]

So, the 8th term is:

[tex]\implies a_8=2(8)+1=17[/tex]

Lets form a equation

Slope:-

Equation:-

So

Put x=8

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

let's solve ~

The given equations are :

[tex]\qquad \tt \dashrightarrow \:5x + 3y = 7 \: \: \: \: \: \: \: \: \: \: \: \: - (1)[/tex]

and

[tex]\qquad \tt \dashrightarrow \:3x - 5y = - 23 \: \: \: \: \: \: - (2)[/tex]

Now, let's multiply equation (1) by 5 and equation (2) by 3 ~

we will get the results as :

[tex]\qquad \tt \dashrightarrow \:25x + 15y = 35 \: \: \: \: - (3)[/tex]

[tex]\qquad \tt \dashrightarrow \:9x - 15y = - 69 \: \: \: - (4)[/tex]

Now, add equation (3) and (4) :

[tex]\qquad \tt \dashrightarrow \:25x + \cancel{ 15y} + 9x - \cancel{15y }= 35 + ( - 69)[/tex]

[tex]\qquad \tt \dashrightarrow \:34x = - 34[/tex]

[tex]\qquad \tt \dashrightarrow \:x = - 1[/tex]

Now, since we got the value of x, let's evaluate y~ by using equation (1) :

[tex]\qquad \tt \dashrightarrow \:5x + 3y = 7[/tex]

[tex]\qquad \tt \dashrightarrow \:5( - 1)+ 3y = 7[/tex]

[tex]\qquad \tt \dashrightarrow \:3y - 5 = 7[/tex]

[tex]\qquad \tt \dashrightarrow \:3y = 12[/tex]

[tex]\qquad \tt \dashrightarrow \:y = 4[/tex]

Hence, value of y is 4

I hope you understood the whole procedure ~

Hello ~

My name is Irxdscent, and I will be answering your question today! :D

[tex]\sf{5x \: + \: 3y = 7}[/tex]

        [tex]\bold{5x \: + \: 3y \: - \: 3y = 7 \: - \: 3y}[/tex]

        [tex]\bold{5x = 7 \: - \: 3y}[/tex]

        [tex]\bold{\frac{5x}{5} = \frac{7}{5} \: - \:\frac{3y}{5}}[/tex]

        [tex]\bold{x =\frac{7 \: - \: 3y}{5}}[/tex]

[tex]\sf{3x \: - \: 5y = -23}[/tex]

        [tex]\bold{3x \: - \: 5y \: + \: 5y = -23 \: + \: 5y}[/tex]

        [tex]\sf{3x = -23 \: + \: 5y}[/tex]

        [tex]\bold{\frac{3x}{3} = -\frac{23}{3} \: + \: \frac{5y}{3}}[/tex]

        [tex]\bold{x = \frac{-23 \: + \: 5y}{3}}[/tex]

Hope It Helps! ~

~ Learn With Lrxdscent ~

[tex]\underline{Answer :}[/tex]

ɪ ʀ x ᴅ ꜱ ᴄ ᴇ ɴ ᴛ

Answer:

remember this line it will help you

Step-by-step explanation:

Answer:

i believe the answer is B, im not 100% though

Step-by-step explanation:

Answer:

$ 1349.746624

Step-by-step explanation:

The volume of a cylinder

The formula for calculating the volume of a cylinder is expressed as:

V=πr²h

where:

r is the radius

h is the height

Given the following parameters

r = d/2 = 1.5/2 = 0.75ft

h = 30ft

Get the volume of the cylinder

V=π(0.75)²(30)

V= 53.0144...ft³

If the wod costs $25.46 per cubic foot, hence the cost of the wood will be 53.0144*25.46 = $ 1349.746624

Answer:

572.1 gm   will be left

Step-by-step explanation:

seven  days of decay to find how much is still there on the 8th day

1400 ( 1 - .12)^7 =

Answer:

129

Step-by-step explanation:

180-51= 129

129 is corresponding with x

and corresponding angles are equal

so 129 is the answer

Answer:129

Step-by-step explanation:

Because of the rule of alternate exterior angles the angle to the right of angle X would also be 51 and since we know a straight line is 180 degrees we will subtract the angle we know from 180 and you get 129 as your answer.

The net amount that was deposited  by Kay both  cash and coins is $284. 50.

The can be explained as difference between total deposited and the cash received.

This can be expressed as[ total deposit- total cash received]

Since the  total deposited = 498 dollars and 1 cent.

This can be converted to dollar as[tex]( $498.01)[/tex]

The amount received is 213 dollars and 51 cents.

This can be converted to dollar as  ($213.51)

Therefore, Net amount [tex]= [498.01 - 213.51]=$284.5[/tex]

Learn more about  Net amounts at; brainly.com/question/13449567

#SPJ4

Answer: C. 93.44

Explanation:

I just got a 100 on edge

Answer:

yes she does

Step-by-step explanation:

14*11=154

for 2 coats you need twice that which is 308 square feet

she purchased enough paint to cover 400 square feet so she would have plenty of paint to do 2 coats

Answer:

3 outcomes

Step-by-step explanation:

question asks only 1 head therefore THT, TTH, HTT

Answer:

y = x/2 +9/2

Step-by-step explanation:

Answer:

y = x/2 +9/2

Step-by-step explanation:

y = -2x - 6.

The equation of the line perpendicular to the above equation has a slope 1/2

The equation of a slope is

y2-y1/x2-x1 = 1/2

To form an equation of the line we chose a point that lies on the graph which is perpendicular to y = -2x - 6 and an arbitrary point (x,y)

A point is given us already and that point is (3, 6).

Tie all together to compute the slope we have;

y-6/x-3 = 1/2

2(y-6) = x-3

2y-12= x-3

2y = x-3+12

2y= x+9

Dividing through by 2 we have

y = x/2 +9/2

y = x/2 + 4.5

Answer:

A, C, D

Step-by-step explanation:

Germany was losing WW1, even though they were the 3rd country to be in it.  Russia was starting to conquer back lost land, the Ottoman Empire had fallen, Austria-Hungary had surrendered.  The Germans were at a loss, so they had to surrender.

Step-by-step explanation:

The radius of a circle is half of the diameter. The diamter is a straight line from one end of the circle to the other which must intersect the origin.

in a circle the radius is half the length of its diameter or in other words in a circle the diameter is twice the length of its radius.

have a great day!

Answer:

[tex]\frac{1}{10}[/tex]

Step-by-step explanation:

The expression P(B|C) is an illustration of probability, and the value of P(B|C) is 0.38

From the question, we have the following highlights:

n(B and C) = 9

n(C) = 24

The equation to calculate the probability expression is:

P(B|C) = n(B and C)/n(C)

Substitute known values

P(B|C) = 9/24

Evaluate the expression

P(B|C) = 0.38

Hence, the value of P(B|C) is 0.38

Read more about probability at:

https://brainly.com/question/251701

#SPJ1

Answer:

the second one

Step-by-step explanation:

i just did  the assignment

Answer:

28

Step-by-step explanation:

its 28 bc area lol i almost though diff