Solve.

-11 2/3 × (-4 1/5) = ?

A) 49
B) -44 2/15
C) -49
D)-44 2/15

Given:

The units sold follows the equation

[tex]U = 10000-2000P[/tex]

To find:

An equation for sales as a function of price.​

Solution:

Let S represents the sales function.

We know that, the money from sales is equal to the units sold times the price P of the unit.

[tex]S=U\times P[/tex]

[tex]S=(10000-2000P)\times P[/tex]

Using distributive property, we get

[tex]S=10000P-2000P^2[/tex]

Therefore, the equation for sales as a function of price is [tex]S=10000P-2000P^2[/tex].

Step-by-step explanation:

The slope of a line characterizes the direction of aline. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

Answer:

the slope of the line would be 1/2 I think

Answer:

The mean of the test is 65

Step-by-step explanation:

Let the mean be x and SD be y

3 SD BELOW the mean means that we are taking away 3 SD FROM the mean

Mathematically, we have that as;

x - 3y = 41 •••••(i)

73 is 1 SD above mean

Mathematically;

x + y = 73 ••••••••(ii)

So let us solve both equations simultaneously

Simply multiply equation ii by 3 then add to i

x - 3y = 41

3x + 3y =219

4x = 41 + 219

4x = 260

x = 260/4

x = 65

Answer:

its actually 35

Step-by-step explanation:

Answer:

The answer is 6(3-4x) because I just did on a test

Answer:

umm.. I think the answer choices are wrong because the slope is -2.

y = mx + b

y = (slope)x + (y-intercept)

y = -2x + 4

and i have proof!

Step-by-step explanation:

Answer:

$62 dollars an hour

Step-by-step explanation:

2.5x+93=248

248-93=155

2.5x=155

155/2.5=x

x=$62 dollars an hour

Answer:

C and D

Step-by-step explanation:

Now, I'm not 100% sure on this answer. But, these two look the most efficient answers to go for.

I hope this helps you!

Answer:

Ye im pretty sure your right

Step-by-step explanation:

Answer:

y=-2x+21

Step-by-step explanation:

use y2-y1/x2-x1 to find the slope so= -17-3/19-9=-20/10=-2

so once you find the slope take one of the points and plug it into the slope-int equation so... if you take (9,3) and take your slope (-2) so it would be: 3=-2(9)+b solve for b to get 21=b as your int. so.. y=-2x+21

Answer:

Total number of tile used = 300

Step-by-step explanation:

Given:

Length of floor = 240 inches = 240 / 12 = 20 ft

Width of floor = 180 inches = 180 / 12 = 15 ft

Size of each tile =  1 square foot

Find:

Total number of tile used

Computation:

Area of floor = 20 x 15

Area of floor = 300 square foot

Total number of tile used = Area of floor / Size of each tile

Total number of tile used = 300 / 1

Total number of tile used = 300

Answer:

Fraction form:

[tex]\frac{3}{4}[/tex]

For every 3 dollars, there are 4 cookies

Step-by-step explanation:

To find the constant, find the rise (y-direction) and the run (x-direction). Of the two points on the line, the rise is 3 and the run 4. The constant is rise over run. So, it’s [tex]\frac{3}{4}[/tex]. This means that for every 3 dollars, there are 4 cookies.

Hope this helps! :)

Answer:

A. The length of the third side is approximately 5 feet.

B. A = [tex]88^{o}[/tex], B = [tex]60^{o}[/tex] and C = [tex]32^{o}[/tex].

Step-by-step explanation:

Let the triangle be ABC. Given two sides and an included angle, let us apply the cosine rule to determine the third length.

A. Let side a = 6 feet and c = 3 feet, thus;

[tex]b^{2}[/tex] = [tex]a^{2}[/tex] + [tex]c^{2}[/tex] - 2ac Cos B

  = [tex]6^{2}[/tex] + [tex]3^{2}[/tex] - 2(6 x 3) Cos [tex]60^{o}[/tex]

  = 36 + 9 - 36 x 0.5

  = 45 - 18

[tex]b^{2}[/tex] = 27

b = [tex]\sqrt{27}[/tex]

  = 5.1962

b  = 5.2 feet

b ≅ 5 feet

The length of the third side is approximately 5 feet.

B. Given that B = [tex]60^{o}[/tex], then let us apply the Sine rule to determined the measure of A.

[tex]\frac{a}{SinA}[/tex] = [tex]\frac{b}{SinB}[/tex]

So that,

[tex]\frac{6}{Sin A}[/tex] = [tex]\frac{5.2}{Sin60^{o} }[/tex]

Sin A = [tex]\frac{0.886*6}{5.2}[/tex]

Sin A = 0.99923

A = [tex]Sin^{-1}[/tex] 0.99923

  = 87.75

A ≅ [tex]88^{o}[/tex]

Since the sum of angle in a triangle = [tex]180^{o}[/tex].

Then,

A + B + C = [tex]180^{o}[/tex]

[tex]88^{o}[/tex] + [tex]60^{o}[/tex] + C = [tex]180^{o}[/tex]

[tex]148^{o}[/tex] + C = [tex]180^{o}[/tex]

C = [tex]180^{o}[/tex] - [tex]148^{o}[/tex]

     = [tex]32^{o}[/tex]

C = [tex]32^{o}[/tex]

Thus,

A = [tex]88^{o}[/tex], B = [tex]60^{o}[/tex] and C = [tex]32^{o}[/tex].

Answer:

a

Step-by-step explanation:

Answer:

I think its the number of months

Step-by-step explanation:

It could be the number of months because its kinda independent. If you think about it, the cost is depending on the number of months-(you pay depending on the number of months). It could also be the $30 because it really doesn't depend on anything.

Hope this helps:)

Answer:

Constant of proportionality

Step-by-step explanation:

There is nothing to explain

Answer:

121

Step-by-step explanation:

Convert 550% into a decimal by moving the decimal point 2 times to the left. 5.5. Then multiply 5.5 x 22 to get 550% of 22.

Answer:

d,c,b,a

Step-by-step explanation:

Answer:

There are 245 Iguanas in the reptile exhibit

Step-by-step explanation:

There are  35 snakes in the reptile exhibit.

We are also given some information about the number of iguanas in the reptile exhibit. According to the problem, there are 7 times as many snakes as iguanas in the reptile exhibit.

This means that to get the number of Iguanas in the reptile exhibit, we simply multiply the number of snakes by 7.

Iguanas = snakes X 7

Iguanas = 35 X 7 =245 Iguanas

Therefore, there are 245 Iguanas in the reptile exhibit

Answer:

70

Step-by-step explanation:

280×25%=70 pages per night

Answer:

70

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

The answer is 17 because We noticed that 5 is 4 more than 1, 9 is 4 more than 5, and 13 is 4 more than 9. They are all a +4 pattern so you just simply add 4 to 13 which is 13 + 4 + 17 So our answer is 17

Answer:

-2/1

Step-by-step explanation:

hope this helps

Answer:

x = 14

Step-by-step explanation:

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression. 21x+6=300 X=14, 21x14=294+6=300.

Answer:

r = - 4

Step-by-step explanation:

Given

- 1.5(4 - r) = - 12 ( divide both sides by - 1.5 )

4 - r = 8 ( subtract 4 from both sides )

- r = 4 ( multiply both sides by - 1 )

r = - 4

Answer:

12

Step-by-step explanation:

1.5(4-r) = -12

To solve, first multiply 4-r by 1.5. When you do this, you can then simplify the expression and write it as 6-1.5r=-12.

With the simplified expression, you can solve for r.

Subtract 6 from both sides then divide by -1.5.

-1.5r=-18

r=12

Answer:

5.5 minutes

Step-by-step explanation:

55/10=5.5

5.5 of 55 is 20%

Or 5 minutes and 30 seconds

Answer: no no yes

Step-by-step explanation:

Answer:

149.8 feet

Step-by-step explanation:

θ = Angle of elevation = 33°

The length of string Jaden lets out = Hypotenuse = 275 feet.

How high above the ground that the kite is flying = Opposite Side.

We are solving this question using the Trigonometric function of Sine

Sin θ = Opposite Side/Hypotenuse

Sin 33 = Opposite/275 feet

Cross Multiply

Sin 33 × 275 feet = Opposite

Opposite side(Height ) = 149.77573463 feet

Approximately to the nearest tenth = 149.8 feet