Given: m24+ m27 = 180°
Prove: c || d

Answer:

[tex] \frac{x - 8}{3x} - \frac{3x}{ {x}^{2} } \\ \\ \frac{x - 8}{3x} - \frac{3}{x} \\ \\ \frac{x - 8 - 9}{3} \\ \\ \frac{ x - 17}{3x} [/tex]

Answer:

[tex] \\ \frac{x - 8}{3x} - \frac{3x}{ {x}^{2} } [/tex]

[tex] \\ = \frac{x - 8}{3x} - \frac{3 {\cancel{x}}}{{ \cancel {x^2} }} [/tex]

[tex] \\ = \frac{x - 8}{3x} - \frac{3}{x} [/tex]

[tex] \\ = \frac{x - 8 - 9}{3} [/tex]

[tex] \\ = \frac{x - 17}{3x} [/tex]

P = -2x^2 + 8x + 2

for maximum P, dP/dx = 0

dP/dx = -4x + 8 = 0

4x = 8

x = 2

The company should produce 2,000 units per week to earn maximum profit.

Maximum profit = -2(2)^2 + 8(2) + 2 = -8 + 16 + 2 = 10

Therefore, the maximum weekly profit is $1,000.

Answer:

a. 264

b. make it a rectangle by moving the right portion to the left

Step-by-step explanation:

Answer:

5,610 people

Step-by-step explanation:

1. If one bus can carry 66 passengers you just do

85 (numbers of buses) x 66 (number of people per bus)

2. The answer is 5,610 people

Answer:

hope it helps

Step-by-step explanation:

66 passengers are carried on one bus

so multiply 66 by 85 which is the number of buses

66*85=5610

Answer:

hope it helps

Step-by-step explanation:

angle < EDG = 90°

5x + 4x = 90

9x = 90

x = 90/9

x = 10°

which means

5x = 50°

4x = 40°

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

sice EF and DG are parallel lines

EHD = 40°

DHG is 90°

then HGD = 50°

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

ED = 64 x2 (2 sides) = 128 inches

DG = 84 x2 (2 sides) = 168 inches

total perimeter = 128 + 168 = 296 inches

and yes. theres enough room for all 3 to cuddle

Answer:

continuous

Step-by-step explanation:

continuous functions do not have such properties.

Let's solve for x.

3x+y+z=6

Step 1: Add -y to both sides.

3x+y+z+−y=6+−y

3x+z=−y+6

Step 2: Add -z to both sides.

3x+z+−z=−y+6+−z

3x=−y−z+6

Step 3: Divide both sides by 3.

3x3

=−y−z+6/3

x=−1/3y+−1/3z+2

Answer:

C

Step-by-step explanation:

Because I tried it and got this answer

Answer:

$700

Step-by-step explanation:

  First, multiply 5,000 times 7:

  5,000 × 7 = 35,000

  Since 7% is 0.07, move the decimal place in 35,000 two times:

  35,000.

Answer:

4x + 6y

Step-by-step explanation:

Answer:

uhm. i dont understand what you put in the question area lol

Step-by-step explanation:

Answer:

Let A be the amount of 45 cents/lb pasta.  

45A+70X(12)=55X(A+12

10A=180

A=18lbs

Step-by-step explanation:

Answer:I think it is B

Step-by-step explanation:

Answer:

He added 3.5 and 5 instead of multiplying them.

Step-by-step explanation:

9514 1404 393

Explanation:

It is often useful to put everything in terms of sine and cosine.

  sin(x)·(tan(x) +cot(x))

  = sin(x)·(sin(x)/cos(x) + cos(x)/sin(x))

  = sin(x)²/cos(x) +cos(x) . . . . . . use the distributive property*

  = (sin(x)² +cos(x)²)/cos(x) . . . . . combine terms over a common denominator

  = 1/cos(x)

  = sec(x)

_____

* The expression inside parentheses could have been combined to ...

  (sin(x)² +cos(x)²)/(sin(x)·cos(x))

Then the sin/sin factors cancel, leaving the expression on line 4.

Answer

2x - 7 = 4

Step-by-step explanation:

Answer:

2x-7=4

Step-by-step explanation:

seven less is a number minus 7 so __ - 7

a product of a number and 2 is multiplication so 2 * x or 2x therefore 2x-7

is 4 means equals 4 so 2x-7=4

voila

Use the slope-intercept form [tex]y = mx + b[/tex] to find the slope m and y-intercept b.

Slope: [tex] \frac{2}{3} \\ [/tex]

y-intercept: [tex](0, - \frac{8}{3} ) \\ [/tex]

Answer:

see below

Step-by-step explanation:

Ax+By=C the slope is -A/B. in this case A=2 and B=3 so the slope of -2/3

Answer:

y= 6

Step-by-step explanation:

First you substitute in the 8 for x. you then multiply 8 times 8 which equals 64. you subtract 64 from 4 and 64, since it would be the opposite of addition. you would then take the -10y=-60, and you would divide by negative 10 to get y by itself. since negative 60 divided by negative 10 is a positive 6, your answer would be y equals 6.

Answer:

numerator is a binomial

Step-by-step explanation:

Answer:

the smaller number is 27.

Step-by-step explanation:

set two numbers are a and b

one number is less that twice of a number:

let's say a is 5 less than twice of b

so we have : a=2b-5

sum of the two numbers is 76: we have a+b=76

then we set up the system of equation[tex]\left \{ {{a=2b-5} \atop {a+b=76}} \right.[/tex]

substitude a = 2b - 5 into the second equation

we have,

2b - 5 + b = 76

3b - 5 = 76

3b = 81

b = 27

Since a + b = 76 so a = 49

Answer:

1/43

Step-by-step explanation:

6 - 5 = 1

24 - (-19) = 43

Slope is 1/43

Answer:

1 subtracted from the variable w.

:)

Step-by-step explanation:

make me brainlest, I'll answer that

Answer:

Zoe gastó más de 569 dólares.

Step-by-step explanation:

Saludos

the answer would be D, because it says "more than -569 dollars"

Answer:

D)  [-1, ∞)

Step-by-step explanation:

you can put the equation into a graphing calculator

Answer:

-45

Step-by-step explanation:

Answer:

you are finding the part

Step-by-step explanation:

definitely not whole

not percent because it is already given as a percent

Answer:

12

Step-by-step explanation:

36/12 is 3

60/12 is 5

84/12 is 7

and 3, 5, and 7 cannot be factored anymore thus 12 is the answer

Hope this helps!

Answer:

1

Step-by-step explanation:

The lights which were on was 48%.

A percentage is a number or ratio that can be expressed as a fraction of 100.

Given that there were 72 lights on, and 78 lights turned off.

We need to find the percent of the lights turned on.

So, percentage of something =

= number of thing / total number of the thing x 100%

Here, the number of thing = light on = 72

Total = 72 + 78 = 150

So, the percent of light on = 72 / 150 x 100% = 0.48 x 100%

= 48%

Hence the lights which were on was 48%.

Learn more about percentages click;

https://brainly.com/question/29306119

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