3. Starting from his house, Reid rode his bike 300 m to the north, then 100 m to the east.
Which of the following vector diagrams shows Reid's path? (Note: The height and width of each
square in the grids is 100 m.)

Answer:

h = 3

Step-by-step explanation:

Step 1: Write out equation

(6h + 8) - (3h + 2) = 15

Step 2: Distribute negative

6h + 8 - 3h - 2 = 15

Step 3: Combine like terms

3h + 6 = 15

Step 4: Subtract 6 on both sides

3h = 9

Step 5: Divide both sides by 3

h = 3

Step 6: Check Step

(6(3) + 8) - (3(3) + 2) = 15

(18 + 8) - (9 + 2) = 15

26 - 11 = 15

15 = 15

(6h + 8) - (3h + 2) = 15

Let's distribute the - to 3h + 2

6h + 8 - 3h - 2 = 15

Combine like terms

3h + 6 = 15

Subtract 6 from both sides

3h = 9

Divide both sides by 3

h = 3

Answer: [tex]k=\frac{300}{7}[/tex]

Step-by-step explanation:

Since we know that f(5)=8, we can plug in x=5 and set that equal to 8 to find k.

[tex]8=\frac{k}{5+1} +\frac{6}{5+2}[/tex]              [add denominator]

[tex]8=\frac{k}{6} +\frac{6}{7}[/tex]                     [get common denominator]

[tex]8=\frac{7k}{42} +\frac{36}{42}[/tex]                  [add]

[tex]8=\frac{7k+36}{42}[/tex]                     [multiply both sides by 42]

[tex]336=7k+36[/tex]              [subtract both sides by 36]

[tex]300=7k[/tex]                      [divide both sides by 7]

[tex]k=\frac{300}{7}[/tex]

Now, we know that [tex]k=\frac{300}{7}[/tex].

Answer:

180 girls

Step-by-step explanation:

298-28=270

270 divided by 3 = 90

90+90 = 180

so there are 180 girls and only 90 boys

Answer:

[tex]C = 2\pi r\\[/tex]

Step-by-step explanation:

[tex]Circumference = 2\times \pi \times r[/tex]

Answer:

what we have to find , please complete the question

Answer:

$1680

Step-by-step explanation:

make use of the simple interest formula:

PRT/100

P is the principle ($8000)

R is the rate of interest (7%)

T is the time (3)

= 8000*7*3 / 100

1680

Answer:

Answer option "A" : line.

Step-by-step explanation:

The trace formed by the collection of all points equidistant from (-5, -6) and (-5, 7) describe a horizontal line with equation y = 1/2.

Therefore the answer option "A" is the correct one.

Answer:

a part of a line that has one endpoint and extends indefinitely in one direction-by-step explanation:

The definition of a ray can be stated as: a part of a line that has one endpoint and extends indefinitely in one direction.

In geometry, a ray can be defined as a line segment that has one endpoint and extends on the one direction of the line segment indefinitely.

An example of a ray is shown in the image attached below. Line segments red and blue are two rays with one endpoint that extends towards another direction indefinitely.

Therefore, the definition of a ray can be stated as: a part of a line that has one endpoint and extends indefinitely in one direction.

Learn more about a ray on:

https://brainly.com/question/1850410

Answer: The dimensions of the frame:.

W= 2√10 or about 6.3245 inches

L= 4√10 or about 12.6491 inches

Step-by-step explanation:

This would be so much easier if the area of the box was 72. Then the dimensions of the frame would be 6 × 12. So just a little bit larger and more complicated.

Here the equation is w(2w)=80

2w^2 = 80 (2w is easier to work with than L/2).

w^2=40 (^2 means squared)

√w^2 = √40 square root of both sides: Factor 40. Take out√4

W = √4*10

W= 2√10

L= 2w = 4√10

6.3245 × 12.6491 = 80

Answer:

where is your formula? pliz tell me

To determine the number of seconds it would take Dariya to download  7 songs at the same rate, we first find the unit rate and multiply it by 7.

Hence, option 4. By finding the unit rate and multiplying it by 7 is the right option.

Unit Rate = 7second/song.

Time to download 7 songs = 49 seconds.

A unit rate is a quantity taken for a unit of another quantity.

We are given that it takes Dariya 35 seconds to download 5 songs from the Internet. We are asked about the time it will take Dariya to download y songs at the same rate.

We will first determine the unit rate of the time taken for downloading a song.

5 songs take 35 seconds.

∴ 1 song takes 35/5 = 7 seconds.

∴ Unit rate is 7seconds/song.

Now to determine the time for downloading 7 songs, we multiply the unit rate by 7.

∴ Time taken to download 7 songs = 7 songs * unit rate

or, Time taken to download 7 songs = 7 songs * 7 second/song

or, Time taken to download 7 songs = 49 seconds.

∴ To determine the number of seconds it would take Dariya to download  7 songs at the same rate, we first find the unit rate and multiply it by 7.

Hence, option 4. By finding the unit rate and multiplying it by 7 is the right option.

Learn more about the unit rate at

https://brainly.com/question/620388

#SPJ2

Answer:

The relationship between x and y is;

y = -0.5x - 4.5

Step-by-step explanation:

When x = -1, y = -4.

Thus from y = -0.5x + [?], we have;

-4 = -0.5(-1) + [?]

Let's call the question mark m for easy identification.

-4 = 0.5 + m

m = -4 - 0.5

m = - 4.5

At x = 0, y = - 4.5. Thus;

-4.5 = - 0.5(0) + m

m = -4.5

At x = 1, y = -5. Thus;

-5 = - 0.5(1) + m

-5 = - 0.5 + m

-5 + 0.5 = m

m = -4.5

We are seeing the same patter as m = - 4.5

Thus the relationship between x and y is;

y = -0.5x - 4.5

Answer:

I believe it's D

Step-by-step explanation:

Answer: 27.5 miles per hour

Step-by-step explanation: 70 - 42.5 = 27.5

Answer:

Step-by-step explanation:

11

x = length of one side.

1,232in^2 = x^2

Take the sqrt of both sides.

35.1 in = x

The length of one side = 35.1 in

Step-by-step explanation:

We know that,

area of square = a²

→ 1,232 = a²

→ a = √1232

→ a = 35.0 in

Nearest 10th = 35.1 in

Answer:

C 2b3 + b2 - 2b - 380

Step-by-step explanation:

Given:

Factory A: 2b^3 – 3b^2 + b - 120

Factory B: 4b^2 – 3b – 260

The company's total output = factory A + factory B

= (2b^3 – 3b^2 + b - 120) + (4b^2 – 3b – 260)

= 2b^3 – 3b^2 + b - 120 + 4b^2 – 3b – 260

Collect like terms

= 2b^3 – 3b^2 + 4b^2 – 3b + b - 120 - 260

= 2b^3 + b^2 - 2b - 380

C. 2b^3 + b^2 - 2b - 380

Option C is the correct answer

Answer: C) 2b^3+b^2-2b-380

Step-by-step explanation:

I had this question on a recent test and got it right

Hope this helps! :)

Answer: x=7

Step-by-step explanation:

To solve for x, you want to use algebraic properties.

20+8(x-11)=-12                  [distribute]

20+8x-88=-12                   [combine like terms]

8x-68=-12                          [add both sides by 68]

8x=56                                [divide both sides by 8]

x=7

Now we know that x=7.

Answer:

The value is [tex]P(X = 50,000) = 6.07*10^{-6}[/tex]

Step-by-step explanation:

From the question we are told that

The average value is [tex]E(x) = 100000 \ miles[/tex]

Generally the exponential distribution function is mathematically represented as

[tex]f(x) = \{ \left \theta* e^{-\theta * x } \ ; \ \ \theta >0} \atop {0 \ ; \ otherwise }} \right.[/tex]

Here [tex]\theta [/tex] is a constant which is mathematically represented as

[tex]\theta = \frac{1}{E(x)}[/tex]

=> [tex]\theta = \frac{1}{100000}[/tex]

=> [tex]\theta =1 *10^{-5}[/tex]

So at x = 50,000 miles (given)

[tex]f(50000) = 1 *10^{-5} * e^{-1*10^{-5} * 50000}[/tex]

[tex]f(50000) = 6.07*10^{-6}[/tex]

So the percentage of the cars will fail at the end of 50,000 miles is

[tex]P(X = 50,000) = 6.07*10^{-6}[/tex]

Answer:

48581

Step-by-step explanation:

Answer:

48581

Step-by-step explanation:

Answer:

unless I am mistaken r=7

Step-by-step explanation:

you subtract 10 from each side and boom done

Answer:

m=1.75

Step-by-step explanation:

Answer:

The answer is X

Step-by-step explanation:

Answer:

After 12 games.

Step-by-step explanation:

Deanna's money after playing 12 games =

15 - (0.75 × 12) = 6$

Lisa's money after playing 12 games =

12 - (0.50 × 12) = 6$

Answer:

[tex]p=3[/tex]

Step-by-step explanation:

[tex]8p-4p=2p+6[/tex]

Solve the left side:

[tex]4p=2p+6[/tex]

Subtract 2p from both sides:

[tex]4p-2p=2p+6-2p[/tex]

[tex]2p=6[/tex]

Divide both sides by 2:

[tex]\frac{2p}{2}=\frac{6}{2}[/tex]

[tex]p=3[/tex]

Answer:

p=3

Step-by-step explanation:

8p-4p=2p+6

4p=2P+6

4p-2p=6

2p=6

P=6/2

p=3 ans