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: 5 by 12

Step-by-step explanation:

Let's call the dimensions of the rectangle w and w+7

The area is 60, so we can do 60=w(w+7)

60=w^2+7w

w^2+7w-60=0          factor the quadratic equation

(w-5)(w+12)=0

w-5=0, w=5

w+12=0, w=-12

Since the length of a rectangle cannot be negative, w=5

the dimensions of the rectangle are 5 and 12

The question is incomplete, the complete question is;

A factory produces 1,250,000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can be used to find the number of toys being produced, n (in millions), in t years?

A. n= 2.5(1.5)/t, t cannot = 0

B. n= 1.5t^2 + 1.25

C. n= 1.5t + 1.25

D. n= 1.25(2.5^t)

Answer:

D. n= 1.25(2.5^t)

Step-by-step explanation:

This is an exponential growth problem. In mathematics, for an exponential growth problem;

P = Po(1 + r)^t

Where;

P= amount at time t

Po =initial amount

r= rate

t= time

In the context of the question we have;

n= 1.25(1 + 150/100)^t

n= 1.25(2.5)^t

Answer:

A = 96 inches ^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 ( b1+b2)h  where b1 and b2 are the bases and h is the height

A = 1/2( 14+10)*8

A = 1/2(24)*8

A = 12*8

A = 96 inches ^2

The area of trapezoid is given

A = 1/2 (b1+b2)h where b1 and b2 is base and h is height

A = 1/2 (14+10)*8

A = 1/2 (24)*8

A = 12 * 8

Answer:

Step-by-step explanation:

Hello!

11h-> 3h

=> 4h

380/4 =>95km/h

Answer:

64

Step-by-step explanation:

b²- 4ac

Let a=5, b=-2,c=-3

(-2)^2 - 4(5) (-3)

4 +60

64

Answer:

64

Step-by-step explanation:

(-2)^2 - 4(5)(-3)

4 - - 60

64

Answer:

2nd option

Step-by-step explanation:

Given

- np - 6 ≤ 3(c - 5) ← distribute

- np - 6 ≤ 3c - 15 ( add 6 to both sides )

- np ≤ 3c - 9

Divide both sides by - p , reversing the symbol as a result of dividing by a negative quantity.

n ≥ [tex]\frac{3c-9}{-p}[/tex]

Answer:

2*sqrt6 = 2*apprx2 = 4

5*sqrt10 = 5*3.1 = 15.5

4*sqrt2 = 4*1.4 = 6.4

3*sqrt3  = 3*1.7 = 5.1

4, 5.1, 6.4, 15.5 or... 2sqrt6, 3sqrt3, 4sqrt2, 5sqrt10

​

Answer:

Step-by-step explanation:

S=pi*R^2=(area of the sector)*(360/angle of AOB)

so 22/7*9^2=99*360/angle of AOB

-> AOB=140

perimeter of circle: 2*pi*R

permiter of sector : 2*pi*140/360*R+ 2R=22+9*2=40

Answer:

-12 =x

Step-by-step explanation:

5 [(x/6)-2] = 2x + 4

Distribute

5/6x - 10 = 2x+4

Subtract 5/6x from each side

5/6x -10 -5/6x = 2x -5/6x +4

-10 =2x -5/6x +4

Subtract 4 from each side

-10-4 = 2x - 5/6x

Get a common denominator for the right side

-14 = 12/6x - 5/6x

-14 = 7/6x

Multiply each side by 6/7

-14 * 6/7 = 7/6 x * 6/7

-12 =x

Answer:

x = -12

Step-by-step explanation

Answer:

x

Step-by-step explanation:

Answer:

4.

Step-by-step explanation:

The highest exponent is 4 so the degree is 4.

Answer:

[tex]\frac{4x+9}{2x+5}[/tex]

Step-by-step explanation:

Answer:

R theta 1 = 20 x

R theta 2 = 11 x  - 6

R ( theta 1 + theta 2) = 31 x - 6     adding equations

R pi = 31 x - 6       since theta 1 + theta 2 = 180 deg

x = (R pi + 6)  / 31

This equation depends only R

If one lets R be one then   x = (pi + 6) / 31

This would give x = .29489 rad for the value of pi is deg

The numerical value of x appears to depend on the value of R

Answer:

Binary number is a number expressed in the base-2 numeral system or binary numeral system, a method of mathematical expression which uses only two symbols: typically "0" (zero) and "1" (one). The base-2 numeral system is a positional notation with a radix of 2.

This question is solved by proportions

Doing this, we found that there were 144 students.

20736 was distributed. The number of rupees for each student is the number of students.

Considering n students, the amount each student receives is:

[tex]A = \frac{20736}{n}[/tex]

Considering each student received n rupees:

[tex]n = \frac{20736}{n}[/tex]

Applying cross multiplication:

[tex]n^2 = 20736[/tex]

[tex]n = \sqrt{20736}[/tex]

[tex]n = 144[/tex]

Thus, there were 144 students.

A similar question can be found at https://brainly.com/question/23843273

[tex]\large\textsf{Hey there!}[/tex]

[tex]\large\textsf{\# 1.}[/tex]

[tex]\large\textsf{4x} \times\large\textsf{3x}[/tex]

[tex]\large\text{COMBINE the LIKE TERMS}[/tex]

[tex]\large\textsf{4x}\times\large\textsf{3x = \bf 12x}\mathsf{\bf ^2}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \bf 12x}\bf ^2}}\huge\checkmark[/tex]

[tex]\large\text{\# 2.}[/tex]

[tex]\mathsf{\dfrac{2}{3}+\dfrac{1}{4}}[/tex]

[tex]\mathsf{= \dfrac{2\times4+1\times3}{3\times4}}[/tex]

[tex]\mathsf{2 \times 4 = \bf 8}[/tex]

[tex]\mathsf{1 \times 3 = \bf 3}[/tex]

[tex]\mathsf{3\times 4 = \bf 12}[/tex]

[tex]\mathsf{= \dfrac{8 + 3}{12}}[/tex]

[tex]\mathsf{8 + 3 = \bf 11}[/tex]

[tex]\mathsf{= \dfrac{11}{12}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf \dfrac{11}{12}}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

P+T+t+R=TA

Step-by-step explanation:

this should help

Answer:

17,600

Step-by-step explanation:

16,586 + 1,038 = 17,624 ≈ 17,600

The association between the given lines is that they are 'neither perpendicular nor parallel.'

To prove, let's convert the given equations in their slope-intercept form i.e. 'y = mx + b'

-7x + 2y = 3

2y = 7x + 3

y = 7/2x + 3/2

-6x + 3y = 2

3y = 6x + 2

y = 2x + 2/3

This shows that both the lines have different slopes, as well as, intercepts of y. And,

[tex]m_{1} * m_{2}[/tex] = 2 * 7/2 ≠ -1

Thus, it is not perpendicular also.

Therefore, option D i.e. 'neither perpendicular nor parallel' is the correct answer.

Learn more about 'slope' here:

brainly.com/question/10973849

The median GPA of the  percussionists is 2.8

This question appears incomplete.

Here is the complete question :

Members of a band class were arguing over which instruments are played by the best academic students. A survey was conducted, and here are the results:

All 13 flute players had a grade point average (GPA) between 3.84 and 3.88.

There were only 3 percussionists. One had a GPA of 2.4, one had a GPA of 2.8, and one had a GPA of 3.2.

Among the saxophone players, 4 had a GPA of 3.9, and the other 5 had a GPA of 4.0.

For percussionists, the median GPA is _____.

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

Median is a measure of central tendency

Other measures of central tendency include  mean and mode.

The GPA of the 3 percussionists are 2.4, 2.8 and 3.2

This data has already been arranged in ascending order.

The number that is in the middle is 2.8

Conversely, if the GPA is arranged in descending order, it is 3.2, 2.8 and 2.4

The number that is in the middle is 2.8

For more information on how to calculate median, check : https://brainly.com/question/12528427?referrer=searchResults

Answer:

Step-by-step explanation:

In a parallelogram, this one in particular:

KR = RM

JR = RL

We are looking in the end for the length of JR, but that means that we need to solve for x somehow to plug in the expression for JL, and then split that in half. Here's how we're going to go about it. I know that

KM = KR + RM, but since KR and RM are the same length, the equation becomes

KM = 2KR. Filling that in with the expressions I'm given for KM and KR:

3x - 5 = 2(x + 7) and

3x - 5 = 2x + 14 and

x = 19. Now I can find the length of JL:

JL = 4x - 10 so

JL = 4(19) - 10 and

JL = 66

Knowing that JR = RL and JL is 66 units long, JR = RL = 33 units each.

Step-by-step explanation:

Here, we'll need to multiply these two values together.  I'll use the expansion formula, which goes as follows:

[tex](a+b)(c+d)[/tex]

[tex]ac + ad + bc + bd[/tex]

Lets apply this to the following equation:

[tex](x+3) (x+7)[/tex]

[tex](x*x) + (x * 7) + (3 * x) + (3 * 7)[/tex]

[tex](x^2) + (7x) + (3x) + (21)[/tex]

[tex]x^2+10x+21[/tex]

Answer:

x^2+10x+21

Answer:

Step-by-step explanation:

I gather that you need to find the area of the sector and then subtract from it the area of the segment to get the area of the triangle (although there are other ways in which to find the area of the triangle).

The area of a sector is:

[tex]A=\frac{\theta}{360}\pi r^2[/tex] where our angle is given as 34, pi is 3.1415, and the radius is 5:

[tex]A=\frac{34}{360}(3.1415)(25)[/tex] and if you multiply and divide that all out you get that the area of the sector is:

A = 7.417

Now subtract from it the area of the segment, 2.209. to get the area of the triangle:

7.417 - 2.209 = 5.208

you should probably try reading the question first.

the arc measure and radius are given to you. now, it is up to you to use your brain and put two and two together. good luck.

Answer:

x=24 y=33

Step-by-step explanation:

If a diameter or radius is perpendicular to a chord, then it bisects the chord and its arc.

Answer:

Step-by-step explanation:

The equation for the direct variation is, for us (using f and m instead of y and x):

f = km, where k is the constant of proportionality. We need to solve for this first using the first set of given values:

-19 = k(14) so

[tex]k=-\frac{19}{14}[/tex] Now plug that in with second set of givens, namely to find f when m is 2:

[tex]f=(-\frac{19}{14})(2)[/tex] and

[tex]f=-\frac{19}{7}[/tex]

Answer:

b

Step-by-step explanation:

tan equal to (opposite side) /(adjacent side)

am not able to write root 3 on phone but its something like this

(a¤3)/a

in which¤3 is root 3

Answer:

[tex] \frac{9}{7} = 1.2857 = 1 \frac{2}{7} [/tex]

Answer:

Step-by-step explanation:

[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol {\frac{9}{7}=1\frac{2}{7} \ \ or \ \ 1.(28571)}[/tex]