1. If m varies directly as v2 and m = 3, when v =2, calculate the value of m when v =9.
(3marks)

Answer: 1 gallon per 20 miles.

Step-by-step explanation: Take 2400 divided by 120 to find the unit rate.

Given:

Base pay = $100 per day

Commission = 1% of the dollar amount of all sales that she makes

To find:

The equation representing Harper's total pay on a day.

Solution:

Let P be the Harper's total pay on a day if she sells x dollars worth of computers.

Commission on x dollars sales = 1% of x = 0.01x

Total pay = Base pay + Commission

[tex]P=100+0.01x[/tex]

Therefore, the required equation is [tex]P=100+0.01x[/tex].

Use a coordinate proof to prove that mid segment mn of triangle pqr is parallel to pr and half the length of pr. which is the first best step? a. place the triangle on a coordinate grid such that vertex p is at the origin, and pr lies on x-axis. b. place the triangle on a coordinate grid such that vertex p is on y-axis and vertex r us on the x-axis

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Place the triangle on a coordinate grid such that QR lies on the x-axis and PQ lies in the y-axis. Therefore, option D is the correct answer.

If we start with Step A, we are unknown about points Q and R and these two points need to be located somewhere.

If we start with step B, we are unknown about point Q and it needs to be located.

If we start with step C, we are unknown about points P and R, and these two points need to be located.

Let us start with step D,

It is given that,

In triangle PQR, QR lies on the x-axis while PQ lies on the y-axis means Q will be at the origin

Coordinates of Q will be (0, 0)

Let us take coordinates of R (4, 0) and P as (0, 4)

Let us take the midpoints of PQ &PR as ‘S’ & ‘T’ respectively.

Now, coordinates of S and T can be found using the Mid-Point formula

Coordinates of mid-point = (x₁+x₂)/2, (y₁+y₂)/2

Coordinates of S= (2, 0)

Coordinates of T= (2, 2)

Here,

We have to prove ST= QR/2 and ST Parallel to QR.

(1) Now, using distance formula,

ST = √([(0-2)²+(2-2)²])

ST = 2 (1/2 ×QR)

(2) Now, in order to prove ST is parallel to QR, we need to prove that the slope of ST is equal to the slope of QR.

Using slope formulae

Slope of ST = (2-2)/(2-0) = 0

Slope of QR = 0, as we know slope of x-axis is 0.

So, the value of ST is half of QR as well as it is parallel to QR.

Therefore, step D is the best option to start with.

To get more about the mid-point theorem refer to the link,

brainly.com/question/9635025

#SPJ7

"Your question is incomplete, probably the complete question/missing part is:"

Use a coordinate proof to prove that mid segment MN of triangle PQR is parallel to PR and half the length of PR. Which is the first best step?

A. Place the triangle on a coordinate grid such that vertex P is at the origin, and PR lies on x-axis.

B. place the triangle on a coordinate grid such that vertex P is on y-axis and vertex R us on the x-axis.

C. Place the triangle on a coordinate grid such that vertex Q is at the origin.

D. Place the triangle on a coordinate grid such that QR lies on the x-axis and PQ lies in the y-axis.

Answer:

[tex]x=\frac{30}{7}[/tex]

Step-by-step explanation:

Step 1: Subtract 10 from both sides.

−7x+10 −10= −20 -10

−7x=−30

Step 2: Divide both sides by -7.

−7x /−7  =  −30 /−7

x= 30 /7

Answer:

3

Step-by-step explanation:

Answer: the x is vertical and y horizontal

Step-by-step explanation:

Answer:

Somewhere in my car

Step-by-step explanation:

i know the song and im also just doing this for points so yeah

Answer:

7.93 seconds

Step-by-step explanation:

Subtract!

59.48s - 51.55s = 7.93 seconds

Needs to be trimmed.

Answer:

7.93

Step-by-step explanation:

59.48 minus 51.55 is 7.93

Answer:

24

Step-by-step explanation:

Answer: - 4.5

Step-by-step explanation:

if those are degree symbols next to the expressions, then x is -4.5

Answer  :C

Step-by-step explanation:  For any given function, all first input values (x-values/coordinates) in the relation are considered as the domain values. While the output values (y-values/coordinates) make up the range of the given function.

The mapped relation that has a domain of {1,2,3}, is the mapped relation that has 1, 2, and 3 on the input side on our left.

Therefore, the mapped relation in option C is the answer.

Answer:

A) - M

Step-by-step explanation:

Answer:

308 cm³

Step-by-step explanation:

volume of cylinder = πr²h

volume = (22/7)*(7/2)*(7/2)*8

volume = 308cm³

Answer:

$8190

Step-by-step explanation:

Answer:

Step-by-step explanation:

-5x + 10 > -15 is your original equation.

You need to isolate the x variable.

Start by subtracting 10.

-5x > -25

x > 5

Answer:

I think B is the answer

hope It helps

Answer:

x=5

Step-by-step explanation:

Put the like terms together(In this case we will transfer the 3x)

6x-3x<15

3x<15

To get the value of x divide 15by 3

x=5

Answer:

x<5

Step-by-step explanation:

Answer:

A small pizza cost $12.99

Answer:

The price of a small pizza is 12.99

Step by step explanation:

15.75 + 17.50 + ? = 46.24

15.75 + 17.50 = 33.25

46.24 - 33.25 = 12.99

Answer: A

Step-by-step explanation:

Answer:

noah

Step-by-step explanation:

208/4=52

342/6=57

Answer:

Noah types faster.

Step-by-step explanation:

if Andre types 208 words in 4 minutes, then that is 52 words per minute, but if Noah types 342 words in 6 minutes then that is 57 words per minute he types. so therefore, Noah types faster. Hope this helps.

Answer: (2, -2)

x=2, y=-2

Answer:

(2, -2)

Step-by-step explanation:

4x + y = 6

x - 2y = 6

x = 2y + 6

4(2y + 6) + y = 6

8y + 24 + y = 6

9y + 24 = 6

9y = 6 - 24

9y = -18

y = -18 ÷ 9

y = -2

4x + (-2) = 6

4x - 2 = 6

4x = 6 + 2

4x = 8

x = 8 ÷ 4

x = 2

Confirm:

4x + y = 6

4(2) - 2 = 6

8 - 2 = 6

6 = 6 (Correct)

(2, -2)

Answer:

The value of cos(2x) = 7/25

Hence, option C is true.

Step-by-step explanation:

Using the trigonometric identity

cos 2x = 1 - 2sin²x

Given

so substituting the values

cos 2x = 1 - 2sin²x

           = 1 - 2 (-3/5)²

           = 1 - 2 (9/25)

           = 1 - 18/25

           = 7/25

Therefore,

The value of cos(2x) = 7/25

Hence, option C is true.

Answer:it’s C

Step-by-step explanation:

I just took it

Answer:

-0.75x+8.1

Step-by-step explanation:

Answer:-0.75x+8.1

Step-by-step explanation:

Answer:

68 sandwiches

Step-by-step explanation:

Given that,

A shop sells 15 sandwiches in 10 minutes.

10 minutes = (10/60) hour = (1/6) hour

In (1/6) hour shop sells 15 sandwiches

In 1 hour = 90 sandwiches

To find, no of sandwiches in 3/4 hours, multiply 3/4 by 90. So,

In 3/4 hour = [tex]90\times \dfrac{3}{4}=67.5[/tex] sandwiches

or

≅ 68 sandwiches

So, 68 sandwiches can be made in 3/4 hour.

It is 32% I'm pretty sure

Answer:

32%

Your supposed to find the percent of students that are girls. And it says eight out of 25 are girls. Sorry if im wrong! :D

Answer:

y-axis

Step-by-step explanation:

Since the equation is identical to the original equation, it is symmetric to the y-axis.