Find the total travel time: Depart 2:30 pm PST Arrive 7:20 pm CST.
A. 3 hr 40 min
B. 3 hr 50 min
C. 1 hr 50 min
D. 2 hr 50 min

Given:

Two points are A(6,1) and B(9,4).

To find:

The equation of the line that passes through the given points.

Solution:

If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the equation of the line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

It is given that the line passes through the two points A(6,1) and B(9,4). So, the equation of the line is:

[tex]y-1=\dfrac{4-1}{9-6}(x-6)[/tex]

[tex]y-1=\dfrac{3}{3}(x-6)[/tex]

[tex]y-1=1(x-6)[/tex]

[tex]y-1=x-6[/tex]

Adding 1 on both sides, we get

[tex]y-1+1=x-6+1[/tex]

[tex]y=x-5[/tex]

Therefore, the equation of the line is [tex]y=x-5[/tex].

Answer:

2x + y = 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = C (1, 3) and (x₂, y₂ ) = D (4, - 3)

m = [tex]\frac{-3-3}{4-1}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, 3 )

3 = - 2 + c ⇒ c = 3 + 2 = 5

y = - 2x + 5 ← equation in slope- intercept form

Add 2x to both sides

2x + y = 5 ← equation in standard form

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

of means multiply

18% * 50

Change to decimal form

.18 * 50

9

Answer:

A.     Six Points

Step-by-step explanation:

Answer:

k=.25068

Step-by-step explanation:

450 = 100 [tex]e^{6k}[/tex]

4.5 =   [tex]e^{6k}[/tex]

ln(4.5) = 6k

k= ln(4.5)/6

k=.25068

The number of bacteria after 13 hours will be 2579.

Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied. Since 2 is the "base" and 5 is the "exponent," it can be represented as 2x2x2x2=25 for the number 32. This phrase should be understood as "two to the fifth power."

Given that a biologist is researching a newly-discovered species of bacteria. At time t = 0 hours, he puts one hundred bacteria into what he has determined to be a favourable growth medium. Six hours later, he measures 450 bacteria.

The bacteria after 13 hours will be calculated as,

[tex]N=100(e)^{13\times 0.25)[/tex]

[tex]N = 100\times e^{3.25}[/tex]

N = 2579.

Therefore, the number of bacteria after 13 hours will be 2579.

To know more about an exponential expression follow

https://brainly.com/question/12940982

#SPJ2

Answer:

the constant of proportionality is 9 here as the division of all the numbers leads to the answer 9

Step-by-step explanation:

Answer:

Your constant proportionality is 9 because 2x9=18, 3x9=27, 4x9=36, and 5x9=45.

Step-by-step explanation:

Answer:

$26.84

Step-by-step explanation:

We have to find 10% of 268.40. To do that, we multiply it by 0.10:

268.40 * 0.1 = 26.840, or $26.84

Answer:

I believe the correct answer is 49.

Step-by-step explanation:

If this answer is incorrect let me know and I will fix it. I'm sorry in advance if it is wrong.

Answer:

42 crickets

Step-by-step explanation:

6 x 7= 42

Answer:

its 55 not 60

Step-by-step explanation:

just divide 260 by 5 and 3

The required number of large and small popcorn boxes sold are 40 and 20 respectively.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Let the number of the large box be x and the small box is y.
According to the question,
5x + 3y = 260   - - - - - -  -(1)
x + y = 60
x = 60 - y - - - - - - - - (2)
Put the value of equation, (2) in equation 1
5 (60 - y) + 3y = 260
300 - 5y + 3y = 260
2y = 40
y = 20
Now,
x = 60 - 20
x = 40

Thus, the required number of large and small popcorn boxes sold are 40 and 20 respectively.

Learn more about arithmetic here:

https://brainly.com/question/11559160

#SPJ2

Answer:

Doughnuts are sold in bags and cartons

A bag holds four doughnuts and a carton holds ten doughnuts

Tom buys B bags of doughnuts and C cartons of doughnuts

He buys a total T doughnuts

Writs down a formula for T in terms of B and C

Step-by-step explanation:

Doughnuts are sold in bags and cartons

A bag holds four doughnuts and a carton holds ten doughnuts

Tom buys B bags of doughnuts and C cartons of doughnuts

He buys a total T doughnuts

Writs down a formula for T in terms of B and C

Step-by-step explanation:

THE AMOUNT RECIEVE BY JOY IF SHE WORKED m HOURS AT PHP300 PER HOUR?

hi please mark me as brilliant

Answer:

[tex]{ \tt{2y + 3x = 5}} \\ { \tt{2y = - 3x + 5}} \\ { \tt{y = - \frac{3}{2} x + \frac{5}{2} }} \\ { \boxed{ \bf{general \: equation : { \tt{y = mx + c}}}}} \\ by \: relation : \\ { \tt{m = - \frac{3}{2} }} \\ \\ { \tt{c = \frac{5}{2} }} \\ \\ { \underline{ \blue{ \tt{becker⚜jnr}}}}[/tex]

Answer:

-2, -1, 0, 1, 2,

Step-by-step explanation

Divide the whole thing by 4.

You will have -2 [tex]\leq[/tex] n < 3

The only values that fit range from -2 to 2.

Answer:

54 marbles

Step-by-step explanation:

The question is a word problem leading to a simultaneous equation

Let 'x' represent the initial number of marbles with Sam, and let 'y' represent the initial number of marbles with Mary,

If Mary gives Sam 5 marbles, we have;

x + 5 = 2 × (y - 5)...(1)

If Sam gives Mary 4 marbles, we get;

x - 4 = y + 4...(2)

From equation (1), we get;

x + 5 = 2 × (y - 5) = 2·y - 10

x = 2·y - 10 - 5 = 2·y - 15

x = 2·y - 15...(3)

From equation (2), we have;

x - 4 = y + 4

∴ x = y + 4 + 4 = y + 8

x = y + 8...(4)

Equating the two values of 'x' in equation (3), and equation (4), we get;

2·y - 15 = y + 8

2·y - y = 8 + 15 = 23

∴ y = 23

From equation (4), we get;

x = y + 8 = 23 + 8 = 31

x = 31

The total number of marbles they have altogether = x + y

However, x + y = 23 + 31 = 54

Therefore;

The total number of marbles they have altogether = 54 marbles.

Answer:

120 cm²

Step-by-step explanation:

Surface area of the pyramid = area of the 4 triangles + area of the square

✔️Area of the 4 triangles = 4(½*b*h)

b = 6 cm

h = 7 cm

Area = 4(½*6*7)

= 4(3*7)

= 4(21)

= 84 cm²

✔️Area of the square = s²

s = 6 cm

Area = 6² = 36 cm²

✅Surface area of the pyramid = 84 + 36 = 120 cm²

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

Work Shown:

36 inches = 3 feet

Divide by 12 to go from inches to feet

The block has the dimensions

Use the formula below to calculate the surface area

SA = 2*(LW+LH+WH)

SA = 2*(5*8+5*3+8*3)

SA = 2*(40+15+24)

SA = 2*(79)

SA = 158 square feet

So if you had 158 square feet of wrapping paper, then you can cover this entire 3D box without any gaps or overlaps. The paper can be folded over the box, or you can cut/glue the pieces on, but make sure there isn't any leftover scraps of paper.

Answer:

the answer is 4

...

..

..

..

..

Answer:

x = - 72

Step-by-step explanation:

Given

- 16 = [tex]\frac{x}{4}[/tex] + 2 ( subtract 2 from both sides )

- 18 = [tex]\frac{x}{4}[/tex] ( multiply both sides by 4 to clear the fraction )

- 72 = x

Answer is = - 72

It's a Right answer....

Mark me as brainliest....

Answer:

7 in

Step-by-step explanation:

Answer:

a = 7 in

Step-by-step explanation:

[tex]Area = \frac{a+b}{2} \times h\\\\26.25 = \frac{a + 10.5}{2} \times 3\\\\26.25 \times 2 = (a+ 10.5) \times 3\\\\52.5 = (A + 10.5) \times 3\\\\\frac{52.5}{3} = a + 10.5\\\\17.5 = a + 10.5\\\\a = 17.5 - 10.5 = 7[/tex]

Answer:

Measure Of Angle K is 82*

Step-by-step explanation:

According To Question, We Have Given

A Quadrilateral JKLM, We Know Sum Of All The Angles Of Quadrilateral Is 360* .

Thus

∠JKL=90*

∠KLM= 180* - 110* = 70* ( Find Diagram In Attachment )

∠MJK=118* (Alternative Opposite Angle)

Now We Have To Find The Value Of ∠LKJ.

∠K = 360* - (∠MJK+∠KLM+JKL)

∠K = 360* - (118* + 70* + 90*)

∠K = 360* - 278*

∠K = 82*

(Diagram, Please Find In Attachment)

Answer:

y=1x-4

Wait sorry I did it wrong the first time lol.

In standard Form, it should be 4x-4y=16

Step-by-step explanation:

yes yes hand me brain

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]

[tex] \boxed{ \boxed{ \large{ \tt{۵ \: OUR \: FINAL \:ANSWER : \underline{ \tt{12}}}}}}[/tex]

-Yey! We're done ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

44%

Step-by-step explanation:

5 ½=5.5

12½=12.5

5.5/12.5=0.44

0.44×100=44%

Answer:

Answer:

44%

Step-by-step explanation:

5 ½=5.5

12½=12.5

5.5/12.5=0.44

0.44×100=44%

Step-by-step explanation:

Answer:

1) f(x) = 500·(1.1)ˣ

2) f(x) = 500·(0.9)ˣ

Step-by-step explanation:

1) The given values in the table are;

x; 0, 1, 2, 3

f(x); 500, 550, 605, 665.5

By observation, we have that each two subsequent term of f(x) have a common ratio, given as follows;

550/500 = 11/10 = 1.1 = 605/550 = 665.5/605

From which we have;

The values of f(x) are in a geometric progression

The nth of a geometric progression = a·rⁿ

The common ratio, r = 1.1

The first term, a = 500

The number of terms, n = x

Therefore, xth term, f(x) = a×(r)ˣ

Substituting the values gives;

The equation for the data shown in the table is f(x) = 500·(1.1)ˣ

2) The given table of values is presented as follows;

x; 0, 1, 2, 3

f(x); 500, 450, 405, 364.5

The common ratio, f(xₙ)/f(xₙ₋₁) = 450/500 = 9/10 = 0.9 = 405/450 = 364.5/405

The terms of f(x) are in a geometric progression

The first term. a = 500

The common ratio, r = 9/10 = 0.9

The nth term of a geometric progression, G.P. = a·rⁿ

By plugging in the values of 'a', 'r', and 'n', the value of the xth term, f(x), therefore;

The equation for the data shown in the table is f(x) = 500·(0.9)ˣ.

This is because we have a list of perfect squares 0,1,4,9,...

We use n-1 in place of n because we're shifting things one spot to the left, since we start at 0 instead of 1.

In other words, if the answer was n^2, then the first term would be 1^2 = 1, the second term would be 2^2 = 4, and so on. But again, we started with 0^2 = 0, so that's why we need the n-1 shift.

You can confirm this is the case by plugging n = 1 into (n-1)^2 and you should find the result is 0^2 = 0. Similarly, if you tried n = 2, you should get 1^2 = 1, and so on. It appears you already wrote the answer when you wrote "Mark Scheme".

All of this only applies to sequence A.

side note: n is some positive whole number.

Answer:

length-14cm width-7cm

Step-by-step explanation:

To work out the sides, you can use 2l+2w=42. Since the length is twice the width, this becomes 2(2w)+2w=42.

This can be expanded to 4w+2w=42 or 6w=42.

From there, we can divide both sides by 6 to isolate w, meaning w=7.

Since the length is twice the width, it is given by l=2×7 or l=14.

**This question involves writing and solving algebraic equations from worded questions, which you may wish to revise. I'm always happy to help!