Sales tax in a certain community is 5%. If the sales tax on a new car was $1400, what was the selling price of the car?

Answer: 26 miles

Step-by-step explanation:

Gallons of gas used = 12 1/4 = 12.25

Distance of the trip = 318 1/2 = 318.5 miles

The miles that Mr. Roman travel per gallon of gas will be:

= Distance of the trip / Gallons of gas used

= 318.5/12.25

= 26 miles

Mr Roman travelled 26 miles per gallon of gas

Answer:

$32.75 each ticket

Step-by-step explanation:

131 / 4 = $32.75 each ticket

Answer:

each ticket was $32.75

Step-by-step explanation:

You need to divide 131 by 4.

Answer:

13:  312yd squared

14: 907.5 rounded up but not rounded is 907.46

Step-by-step explanation:

this is because the formula is pi*r^2  so you'd

Step by step:

1. 20yd/2= 10 to get the radius for 13

2. substitute r in the formula pi*r^2 for 10 making it pi*10^2

3. multiply 10 by itself, 10*10=100

4. multiply pi by 100, 3.14*100= 314

314yd^2 is the answer for 13

14:

1. 34ft/2=17 to get the radius for 14

2. substitute r on the formula pi*r^2 for 17 making it pi*17^2

3. multiply 17 by itself, 17*17=289

4. multiply pi by 289, 3.14*289=907.46

5. round 907.46 to the nearest tenth, 907.5

907.5ft^2 is your answer

hope this helps :)

Part (a)

The resultant vector is the vector formed by adding the two vectors a and b. So we effectively add the corresponding components.

You can use the parallelogram law as a visual alternative.

Adding a and b leads to

a+b = (3i-2j) + (pi-2pj)

a+b = (3i+pi) + (-2j-2pj)

a+b = (3+p)i - (2+2p)j

Define vector d to be d = a+b so we can use it later below.

Recall that parallel vectors point in the same direction. This means the ratio of their components or coordinates are equal.

We can say the following

(x coord of d)/(x coord of c) = (y coord of d)/(y coord of c)

(3+p)/(2) = (-(2+2p))/(-3)

Let's solve for p

(3+p)/(2) = (-(2+2p))/(-3)

(3+p)/(2) = (2+2p)/3

3(3+p) = 2(2+2p) .... cross multiply

9+3p = 4+4p

4p+4 = 3p+9

4p-3p = 9-4

p = 5

========================================================

Part (b)

Since p = 5, from part (a), we can determine vector b

b = pi - 2pj

b = 5i - 2*5j

b = 5i - 10j

Then add vectors a and b to get

a+b = (3i-2j) + (5i - 10j)

a+b = (3i+5i) + (-2j - 10j)

a+b = (3+5)i - (2+10)j

a+b = 8i - 12j

Or we can say

a+b = (3+p)i - (2+2p)j  .... from part (a)

a+b = (3+5)i - (2+2*5)j ... plugging in p = 5

a+b = 8i - 12j

Note the ratio of the components of vector d and vector c are such

(x coord of d)/(x coord of c) = (y coord of d)/(y coord of c)

8/2 = -12/(-3)

4 = 4

This helps confirm the answer

You could also graph the vectors c = 2i - 3j and d = 8i - 12j to note the two lines produce the same slope -3/2. We can see that -12/8 = -3/2. Lines of the same slope are parallel lines

a.

The value of p is 5

Since vector a = 3i - 2j and vector b = pi - 2pj, the resultant of vectors a and b is R = a + b

= 3i - 2j + pi - 2pj

= (3 + p)i - 2(1 + p)j

Since R is aparallel to vector c = 2i - 3j, it implies that the cross product of R and c is zero.

The cross product of two vectors a and b is a × b = absinФ where a and b are the magnitudes of a and b and Ф is the angle between them.

So, R × c = [(3 + p)i - 2(1 + p)j] × [2i - 3j]

= (3 + p)i × 2i + (3 + p)i × (-3j) + (-2(1 + p)]j × 2i + (-2(1 + p)]j×(-3j)

= 0 - 3(3 + p)k - 4(1 + p)(-k) + 0

= -3(3 + p)k + 4(1 + p)k

= [-3(3 + p) + 4(1 + p)]k

= [-9 - 3p + 4 + 4p)]k

= [-9 + 4 - 3p + 4p)]k

=  [-5 + p]k

[-5 + p]k = RcsinФ.

Since R and c are parallel, Ф = 0°

So, Rcsin0° = Rc × 0 = 0

So,   [-5 + p]k = 0

-5 + p = 0

p = 5

The value of p is 5

b.

The resultant of vectors a and b is R = 8i - 12j

Since p = 5 and the resultant of vectors a and b is R = (3 + p)i - 2(1 + p)j

Substituting the value of p = 5 into r, we have

R = (3 + p)i - 2(1 + p)j

R = (3 + 5)i - 2(1 + 5)j

R = 8i - 2(6)j

R = 8i - 12j

So, the resultant of vectors a and b is R = 8i - 12j

Learn more about resultant of vectors here:

https://brainly.com/question/14358602

Answer:

C. She used GF = 2BG, but the correct statement is BG = 2GF.

Step-by-step explanation:

credits to the other person!

Answer:

C.

Step-by-step explanation:

Edge 2021

Answer:

Slope equals to 3

Step-by-step explanation:

-2-7=-9 over 5-8=-3. You then divide the 9 by 3 and because they are both negative they equal a positive.

Answer:

$6.90

Step-by-step explanation:

1.20 x (5 3/4) = 6.9

Answer:

7³ × 2²

Step-by-step explanation:

7 × 7 × 7 × 2 × 2

7³ × 2²

343 × 4

1372

Answer:

3/4

Step-by-step explanation:

15/20 is 3/4. therefore, according to the previous data, it is 3/4.

P.S. I looked at your answers and you cannot just spam random answers. thats rude and it violated the honor code. how would you feel if you posted a question and the answer was just random letters. and then you failed your test. thats not nice. and you are on canvas, because i use it too, and i know what it looks like. you cannot cheat on a test, as this is not what Brainly is for. im just so dissapointed because you disrespect others.

Answer:

i guess you have to find square root of every number

like of 15 is 3,87 therefore higher than it is 4 and less than it 3

Answer:

Step-By-Step Explanation: (Rounded to nearest hundred)

Answer:

9(9a-2)

Step-by-step explanation:

81a + (-18)

= 81a - 18

= 9 (9a - 2)

Answer:

9(9a-2)

Step-by-step explanation:

Answer:

39.27

Step-by-step explanation:

Formula: PIEr^2/2

so 5 square which is 25.

then 25 times pie which is then divided by 2

39.27

Answer:

9

Step-by-step explanation:

if you think bout it 24/6 is 4 and 36/9 is 4

Answer:

40°

Step-by-step explanation:

As clarified in an online document, a translation along a vector (which is a line in a plane) of a figure, is equivalent to a translation along a coordinate grid, and therefore, given that a translation is a form of rigid transformation, the the dimensions and inclinations of the rays forming the preimage are the same as those in the image and the angles measurement in the preimage and the image are equal.

Therefore, given that the angle measurement of the image is 40-degrees, the angle measurement of the image is also 40-degree (40°) angle.

Answer:

60 pounds

Step-by-step explanation:

The ratio of Jamie to Rhys is 2 to 3.

Jamie gets 40 pounds.

40 pounds is 20 times 2, so Rhys also has to get 20 times the amount in the ratio.

20 * 3 = 60

Answer: 60 pounds

Answer:

Step-by-step explanation:

Given

Solving for a

9514 1404 393

Answer:

  6b

Step-by-step explanation:

  ( - bc + 3b - 4c) + (bc + 3b + 4c) = bc(-1 +1) +b(3 +3) +c(-4 +4)

  = 0bc +6b +0c

  = 6b

hope this helps.enjoy

Answer: A rectangle is a 4-sided polygon where all four of its angles are right angles. Normally, the longer side is called the length and the shorter side is called the width. If all the sides are of equal length then it will be called a square. Area of rectangle = length × width.

Exlpination: A polygon is a closed figure with three or more straight sides. For example, a triangle is a polygon with three sides, a rectangle is a polygon with four sides, and a pentagon is a polygon with five sides.

Answer:

its a rectangle yea have a nice time

Answer:

10

Step-by-step explanation:

Acc to question, the workers have installed 240 chairs in 4 days which equals 60 chairs in 1 day.

So the will require 600 /60 =10 days from the start.

Answer:

postive 6

Step-by-step explanation:cause negative plus a negative equals a postive

Answer:

2.85 × 10^6

Step-by-step explanation:

Answer:

2850000

Step-by-step explanation:

Answer:

I think the answer is x= -7.

Answer:

130 degrees.... I am pretty sure

Cus angles of a triangle add to 180 and so the inside angle is 130 and they are vertical angles so they are the same right? right?

Step-by-step explanation:

Answer:

130 degrees

Step-by-step explanation:

I first came up with the equation 30+20+?=180 (I got 180 because every angle in a triangle added up is 180), then added the 30 and 20 to get 50+?=180. I subtracted 50 from both sides and got ?=130. I know that the angle on the inside and the outside are equal because it seems like a reflection, so if the inside angle is 130 the outside angle is 130 degrees too.

Hope this helps you :)

Answer:

y=5 x=3

Step-by-step explanation:

x-y=-2 move the y over to isolate x

x=-2+y Now plug that in for x in the first equation

2(-2+y)-y=1 Distribute

-4+y=1 Add 4 on both sides

y=5

x-5=-2

x=3

Answer:

6x^2+11x+3

Step-by-step explanation:

Area= Length*Width

Area= (3x+1)(2x+3)

Use method FOIL (Front,Out,In,Last)

(3x*2x)+(3x*3)+(2x*1)+(3*1)

= 6x^2+9x+2x+3

Simplify:

6x^2+11x+3

Answer:

-72

Step-by-step explanation:

-6*+12=-72

because - x + = -

Answer:

-72

Step-by-step explanation:

6×-12

-72 (because a×-a=-a)

The magical answer that you are looking for is D.