Three students attempt to define what it means for lines lll and mmm to be perpendicular.

Can you match the teacher's comments to the definitions?

Answer:

Step-by-step explanation:

Step one:

weekly pay = $185

commission= 5.5% of sales= 0.055

let the sale be x

and his gross pay be represented by y

hence the expression for the total/gross pay is

y=0.055x+185

Step two:

Required is the gross pay y for x=3422

substituting we have

y=0.055*3422+185

y=188.21+185

y=373.21

Hence for a sale of $3,422 made his gross pay is $373.21

Answer:

The GCD of 510 and 92 is 2

Step-by-step explanation:

510 : 2 = 255

510 : 3 = 170

510 : 4 = 127.5

92 : 2 = 46

92 : 3 = 30.6667

92 : 4 = 23

hope this helps!

Step-by-step explanation:

(i) 12 months × fixed salary

= 12 × 3140

= 37680 $

(ii) commission = total × 2%

= 720000 × 0.02

= 14400 $

(iii) fixed salary + commission

= 37680 + 14400 = 52080 $

Step-by-step explanation:

its ratio so it has to be A

Answer:

A

Step-by-step explanation:

Answer:

Heidi wants to compute:

17 - 9.

First, she adds to get 10, (we want to subtract 10, this is easier than subtracting 9) then she can do:

17 - 9 + 0

adding zero does not change the sum

1 - 1 = 0

then:

17 - 9 + 0 = 17 - 9 + 1 - 1

Now we can do:

17 - 9 - 1 + 1

17 - (9 + 1) + 1

17 - 10 + 1

(17 - 10) + 1

7 + 1 = 8

Then, first she needs to add -1, in order to subtract 10, and then she must add 1. As we added a number and its inverse, in total we added zero, so the sum did not change, but was easier to compute.

Then, you need

Answer:

The dependent variable is the hour.

Answer:

Step-by-step explanation:

There are 3 critical points. Place them on the graph and go down (using a ruler and pencil).

-7, -5 trans forms into 7, -5

-4, -2 transforms into 4,-2

4, -4 transforms into -4, -4

No picture given for this problem. Repost.

Answer:

23.59 - 14.89 = x

x = 8.7

Step-by-step explanation:

To find x, you need to add all of the other sides and subtract it from the perimeter. 5.62 + 5.62 + 3.65 = 14.89.

23.59 - 14.89 = x, so x = 8.7

Answer:

8.7

Step-by-step explanation:

Add all the numbers together (5.62, 5.62, and 3.65) then take away from the result (23.59) to get answer.

Answer:

The sign is positive.

Step-by-step explanation:

(-5)(-3)

= 15 (double negative)

15(-8)

=-120 (positive negative)

(-120)(-6)

= 720 (negative negative)

Therefore, the sign of the answer is positive.

Hope this helped!

Answer:

The sign is postive

Step-by-step explanation:

(-5)(-3)

= 15 (double negative)

15(-8)

=-120 (positive negative)

(-120)(-6)

= 720 (negative negative)

Answer:

It may be 220 9/23. If it's wrong sorry lol.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

the is a. $3,334.26

Step-by-step explanation:

Answer:

(3, 2)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

-3x + 10y = 11

-8x + 2y = -20

Step 2: Rewrite systems

-8x + 2y = -20

Step 3: Redefine systems

-3x + 10y = 11

y = 4x - 10

Step 4: Solve for x

Substitution

Step 5: Solve for y

Step 6: Graph system

Check the system.

Answer:

Step-by-step explanation:

Given the length of a fish after t years modeled by the equation

L(t) = 9 − 1/5t

The average rate of growth is expressed as;

dL/dt = -1/5 (differential of a constant is zero)

Hence the average rate of growth  over the first year of life is -1/5 in/year

Answer:

its 40

Step-by-step explanation:

You've already divided 320 and 8 and you get 40

Answer:

y=-72

Step-by-step explanation:

3(-2) = -6, y=12 times -6, y= -72

Answer:

a

Step-by-step explanation:

aa

Answer:

y = 2

Step-by-step explanation:

For the equation x - y = -1, if x = 1,

then we would plug that in to solve for the y value

1 - y = -1

Subtract 1 from both sides to find y

-y = - 2

Divide by -1 to find y

y = 2.

To double check our answer we would plug in our x-value and y-value into the equation

1 - 2 = -1

This is true, so our answer is y = 2

Answer:

y = 2

Step-by-step explanation:

x - y = -1

1 - y = -1

1 + 1 - y = 0

2 - y = 0

2 = y

y = 2

Answer:

17, 2, 0, 2

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

16.9 + 1.7 + 0.17 + 2.0 = 20.77 rounded to the  nearest whole number is 21.

Answer:

The answer is "p= $5,246".

Step-by-step explanation:

Using formula:

Present value of [tex]\frac{in-flow}{out-flow}[/tex] = cash-flow [tex]\times[/tex] present value of discounting factor(rate %, time period)

[tex]\to -p-\frac{2p}{1.08}-\frac{4p}{1.08^2}- \frac{8p}{1.08^3}-\frac{16p}{1.08^4} =\frac{24000}{1.08^5}+ \frac{30000}{1.08^6}+ \frac{36000}{1.08^7} + \frac{42000}{1.08^8}+ \frac{48000}{1.08^9}+ \frac{24000}{1.08^{10}}\\\\[/tex]

[tex]\to -p[1+\frac{2}{1.08}+\frac{4}{1.08^2}+ \frac{8}{1.08^3}+\frac{16}{1.08^4}] = 127960.43169\\\\\to -p[24.3923427] = 127960.43169\\\\\to -p = \frac{127960.43169}{24.3923427}\\\\\to p= 5245.93\\\\\to p= 5246[/tex]

Answer:

1 .

because sqare root of -1= 1

Answer:

10.99 m

Step-by-step explanation:

✍️What we are basically asked to solve here is to find the distance between C and D.

To find CD, find the length of BC, and BD. Their difference will give us CD.

Thus, BC - BD = CD.

✍️Finding BC using trigonometric ratio formula:

[tex] \theta = 30 + 10 = 40 [/tex]

Opposite side = BC = ??

Adjacent side = 42 m

Thus:

[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]

Plug in the values

[tex] tan(40) = \frac{BC}{42} [/tex]

Multiply both sides by 42

[tex] tan(40) \times 42 = \frac{BC}{42} \times 42 [/tex]

[tex] 35.24 = BC [/tex]

BC = 35.24 m

✍️Finding BD using trigonometric ratio formula:

[tex] \theta = 30 [/tex]

Opposite side = BD = ??

Adjacent side = 42 m

Thus:

[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]

Plug in the values

[tex] tan(30) = \frac{BD}{42} [/tex]

Multiply both sides by 42

[tex] tan(30) \times 42 = \frac{BD}{42} \times 42 [/tex]

[tex] 24.25 = BD [/tex]

BD = 24.25 m

✍️How much below the top of the tower is the shorter one attached:

Thus,

BC - BD = CD

35.24 m - 24.25 m = 10.99 m

Answer:

The probability of getting a sum less than or equal to 4 ​is 1/6.

Step-by-step explanation:

When two dices are rolled, the number of outcomes are: 6*6 = 36 which is written in ordered pairs consisting of outcome of both dices.

When two dices are rolled, the number of sample space elements is:

[tex]n(S) = 36[/tex]

Let A be the event that the sum of outcomes is less than or equal to 4:

[tex]A = \{(1,1),(1,2),(1,3),(2,1),(2,2),(3,1)\}[/tex]

That implies

[tex]n(A) = 6[/tex]

The probability of getting sum less than or equal to 4 will be:

[tex]P(A) = \frac{n(A)}{n(S)} = \frac{6}{36} = \frac{1}{6}[/tex]

Hence,

The probability of getting a sum less than or equal to 4 ​is 1/6

The probability of getting a sum less than as well as equivalent to 4 will be "[tex]\frac{1}{6}[/tex]".

The probability that may be an outcome will happen together in random experiment. The greater the likelihood of such an occurrence, the further probable it will materialize.

Let,

The event that the sum less than as well as equivalent to 4 be "A".

According to the question,

Whenever the 2 dices are rolled, the no. of outcomes will be:

= 6 × 6

= 36

and,

The no. of sample elements will be:

n(S) = 36

Now,

A = {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (3, 1)}

The probability be:

→ P(A) = [tex]\frac{n(A)}{n(S)}[/tex]

           = [tex]\frac{6}{36}[/tex]

           = [tex]\frac{1}{6}[/tex]

Thus the response above is correct.

Find out more information about probability here:

https://brainly.com/question/24756209

Answer:

The correct answer is B. ΔVTU and ΔABC

Step-by-step explanation:

I took the test hope this helps :)

Answer:

fgqwefgwdgnbn8jhvdsihijhofwebhiwg7dyhdg h hy7rhbfwe  r2eery

Step-by-step explanation:

sdheeht vuhudfvbujhnrsdgbkbhdpouibeihbrtuiovb esg7veg8sgxvuew hr 8b0uw e

Answer:

y=5-5/4x

Step-by-step explanation:

slope-intercept form:   y=mx+b (m= slope, b= y-intercept)

5x + 4y = 20

4y=20-5x

simplify

y=5-5/4x

Answers

9^5

please make me brainlist

Answer:

9^5

Step-by-step explanation: