Sally and Mia run a furniture making company. They work together to build and paint custom dressers.

Sally charges a $100 flat fee for each dresser she builds, plus $420 for each hour she spends building.

Mia charges a $150 flat fee for each dresser she paints, plus $390 for each hour she spends painting.


a) Represent what Sally charges for one dresser as a polynomial. Remember to define any variables!



b) Represent what Mia charges for one dresser as a polynomial. Remember to define any variables!



c) Write a new SIMPLIFIED polynomial that represents their total charges, together, for one dresser.

Answer:36

Step-by-step explanation:

gcd(475-7,871-7)=gcd(468,864)=36

[tex]\begin{array}{c|c|c|c|c|c}&0&1&1&5&2\\468&864&468&396&72&\boxed{36}\\468&396&72&36&0\\\end{array}[/tex]

Answer:

12

Step-by-step explanation:

Least common multiple means what is the smallest number that both numbers go into

List the prime factors

4= 2*2

12 = 2*2*3

The factors that are in needed to make both are 2 and 3

We need 2 of the 2's and 1 3

2*2*3 = 12

Answer:

12

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

First let's find m

     m = Δy / Δx = y2 - y1 / x2 - x1

         = 1 - 5 / 3 - 1

         = -2

Now to find b, you can sub in the values of (x,y) for (1,5)

5 = (-2)(1) + b

-b = -2 - 5

-b = - 7

b = 7

Final equation

y = -2x + 7

Hope this helped!

Answer:

4x + 2y - 14

Step-by-step explanation:

I hope it is understandable.

Answer:

D

Step-by-step explanation:

The correct answer is D

Answer:

D

Step-by-step explanation:

y<2/3 x-1 is the answer

Answer:

x = 240

Step-by-step explanation:

Using the Altitude- on- Hypotenuse theorem

(leg of large triangle)² = ( part of hypotenuse below it) × (whole hypotenuse)

x² = 144 × 400 = 57600 ( take the square root of both sides )

x = [tex]\sqrt{57600}[/tex] = 240

x = 240

Using Pythagoras' theorem on the 3 triangles of sides (as shown in the graphic - the 2 smaller inner triangles and the large main triangle) it can be shown that the height is the square root of the product of both segments of the baseline.

let's call the 2 segments p and q.

p+q = 400

p = 144

q = 400 - 144 = 256

so, as said before, height = sqrt(p×q) = sqrt(144×256) = 192

now the main Pythagoras with the smallest triangle to get x

x² = 192² + 144² = 36864 + 20736 = 57600

x = 240

now, FYI, why is that formula true ?

as we said, we called the segments of the long baseline p and q.

then we can the sides of the main triangle x and y.

and the height is simply h.

so, then we have for the main rectangular triangle

(p+q)² = x² + y²

and for the 2 smaller triangles

x² = p² + h²

y² = q² + h²

=>

p² +2pq + q² = p² + h² + q² + h²

2pq = 2h²

h² = pq

h = sqrt(pq)

and there you have it. just as simple as that.

Answer:

x = 12

Step-by-step explanation:

The sum of the two smaller angles is 140

80+5x = 140

Subtract 80 from each side

80+5x-80 =140-80

5x = 60

Divide each side by 5

5x/5 = 60/5

x = 12

Answer:

# 28750

Step-by-step explanation:

Intrest = P. A. * Intrest Rate * Time

Intrest = 250000 * 11.5/100 = 28750

Answer:

35

Step-by-step explanation:

Cost of skateboard : $60

Cost of each lemonade = $1.50

Total glasses of lemonade to be sold = 60/1.5

= 60/15×10

= 4×10

= 40

Therefore she has to sell 40 glasses of lemonade

Must click thanks and mark brainliest

Radius = diameter/2 = 8/2 = 4m

Area of a circle = pi x r^2 = pi x 4^2 = 16pi m^2 ( exact area) or 50.27 m^2

Circumference = pi x diameter = 8pi m ( exact) or 25.12 m

Answer:

C = 25.12 A = 50.24

Step-by-step explanation:

Circumference formula = dπ

Area formula = πr^2

Circumference:

Plug in:

8π

8 × 3.14 = 25.12

Area:

8/2 = 4

r = 4

Plug in:

πr^2

π4^2

16π

16 × 3.14 = 50.24

Hope this helped.

Answer:

HOPE IT HELP YOU . Plz tell me if it is write or wrong .

Answer:

Step-by-step explanation:

Answer:

I know but I will not tell you have to do by self

Answer:

Step-by-step explanation:

-(--4,5)= -(4,5)= -4,5

Answer:

the third one: Combination with repetition

Step-by-step explanation:

it says there are any number of pennies, nickels, dimes, and quarters, so there is repetition. the order doesn't matter because it asks for the different sums, so it's a combination with repetition

"How many different sums of money exist if we can choose 4 coins from any number of pennies, nickels, dimes, and quarters?" is a Combination with repetition problem.

A combination with repetition involves a multiset. A multiset allows elements to be repeated unlike an ordinary set.

Number of ways to select r things from n possibilities: C (n + r − 1, r)

Since he can choose any coin any number of time, repetition is there. Also, order in which coins are chosen is not important, thus it is a combination.

Therefore, the third option is correct. This is a combination with repetition problem.

Learn more about combination with repetition here

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Answer:

x=437.3 ft

Step-by-step explanation:

cos(29)=B/H, cos(29)=x/500. x=437.3 ft

Answer:

2^3 x 31

Step-by-step explanation:

31 is a prime number

Answer:

Plant B

Step-by-step explanation:

When you compare the number of tomatoes she picks from plant B with plant A, you will notice that plant B has not produced less tomatoes than plant A in any day but it has either produced the same or more number of tomatoes.

Answer:

It is 121

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

Cos C = adjacent/hypotenuse

or, Cos C = 21/35 = 3/4

Answered by GAUTHMATH

Answer:

the correct answer is C

Step-by-step explanation:

first step you change the x and y powers to the square root(showing in the pic).

second the number outside of the parenthesis times the numbers inside the parenthesis and then you just figure it out how it works...

Answer:

30 minutes

Step-by-step explanation:

Walk rate = 88 paces/ minute

Average length of pace = 0.875 m

Time taken to walk 2.31 km ;

The distance in metres :

1000 m = 1 km

2.31 km = (1000 * 2.31) = 2310 m

Recall :

Time taken = distance / speed

Distance walked in a minute = 88 * 0.875 = 77 m

Time taken = 2310 / 77

Time taken = 30 minutes

26a)729

b)2,457.6

c)3,500

d)8,100

e) 89,600

Step-by-step explanation:

just multiply first and divide with upper number to the lower

Answer:

h is the function name; t is the input, or independent variable; and h(t) is the output, or dependent variable.

Step-by-step explanation:

The explanation is in the answer.

h is the function name; h(t) is the input, or independent variable; and t is the output, or dependent variable is correct statement.

The given function is h(t) = 210 - 15t

The function is named h, and it takes an input value t (the independent variable) and produces an output value 15t (the dependent variable).

The function is often written as h(t) = 15t to make it clear that h is a function of t.

Hence, h is the function name; h(t) is the input, or independent variable; and t is the output, or dependent variable is correct statement.

To learn more on Functions click:

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Answer:

1

Step-by-step explanation:

Since we are taking the area of a square, you can take the square root of its area to find the side lengths.

√1 = 1

Answer:

g(x) = -2(x - 6) - 7

Step-by-step explanation:

Sorry if I'm wrong

Answer:

Hello,

Step-by-step explanation:

Q.5(b) The population {(P) in millions} of a country is estimated by the function, P=125e0.035t, t = time measured in years since 1990. (a) what is the population expected to equal in year 2000 (b) determine the expression for the instantaneous rate of change in the population (c) what is the instantaneous rate of change in the population expected to equal in year 2000.

[tex]P(t)=125*e^{0.035*t}\\a)\\P(2000)=125*e^{0.035*(2000-1990)}=177.38...\\\\b)\\P'(t)=125*0.035*e^{0.035*t}\\\\c)\\\\P'(2000)=125*0.035*e^{0.035*(2000-1990)}=6.2084...[/tex]

Answer:

for binary 101111010001. for octal 5721. for base 5 - 44100