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:

28

Step-by-step explanation:

its 28 bc area lol i almost though diff

Answer:

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

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

11 + 4 = 15

90 / 15 = 6

6 * 11 = 66

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:

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

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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

Answer:

3 outcomes

Step-by-step explanation:

question asks only 1 head therefore THT, TTH, HTT

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:

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

[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:

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

Answer:

Step-by-step explanation:

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:

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:

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:

x(x−9)

Step-by-step explanation:

x2−9x

=x(x−9)

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:

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:

Step-by-step explanation:

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:

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.

Answer:

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

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:

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.

Answer:

x = 0.5

y = 4

Step-by-step explanation:

Find the point of intersection.

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:

remember this line it will help you

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