John ran 3 miles in 25.2 minutes. The equation y = 8.5x, where x represents the number of miles and y represents the total time in minutes, represents this situation. What is the constant of proportionality? What does the constant of proportionality represent in the context of the problem?

Answer:

x= 40

so

3x-5= 115

2x-15= 65

Step-by-step explanation:

C is the correct answer. I see that you put a mark on that choice so you are right if you thought that. I hope this helps!

Answer:

C

Step-by-step explanation:

The 2 angles are same- side interior angles and are supplementary, thus

3x - 5 + 2x - 15 = 180, that is

5x - 20 = 180 ( add 20 to both sides )

5x = 200 ( divide both sides by 5 )

x = 40

Thus

3x - 5 = 3(40) - 5 = 120 - 5 = 115°

2x - 15 = 2(40) - 15 = 80 - 15 = 65°

Answer:

37.5 miles per hour

Step-by-step explanation:

d= rt; d is distance (225 miles), r is rate, and t is time (6 hours)

225= 6r

225/6 = 6r/6

37.5= r

37.5 miles per hour

Hope this helps!

Answer:

the correct answer is C

Step-by-step explanation:

Answer:

City A

Step-by-step explanation:

I mean B C and D are all about 0.5 or -0.5 while B is 1 3/4

So...

A is the closest because its legit 0.25 meters away while others are 0.5 meters away.

And 0.5-0.25 shows that 0.25 is less than 0.5.

Answer:

12

Step-by-step explanation:

divide 48 by 4 and the answer should be 12, that is the cost per ticket.

Answer:

Each ticket cost $12

Step-by-step explanation:

So we can say:

4x = $48

we can divide each side by 4 and get:

x = $12

Hope that helps!!

Answer:

C

Step-by-step explanation:

Its adds 5 each time

The next three terms of Sequence is 2, 7, 12.

A grouping of numbers in a specific order is known as a sequence. On the other hand, a series is described as the accumulation of a sequence's constituent parts.

Each number in the sequence is called a term. In the sequence 1, 3, 5, 7, 9, …, 1 is the first term, 3 is the second term, 5 is the third term, and so on.

Given:

-18, -13, -8, -3,…

Now, the common difference = -13 - (-18)= -13 + 18 = 5

So, the formula for nth term will be

[tex]a_n[/tex] = -18 + 5(n-1)

Then,  n= 5th term

[tex]a_n[/tex] = -18 + 5(5-1)

[tex]a_n[/tex] = -18 + 5(4)

[tex]a_n[/tex] = -18 + 20

[tex]a_n[/tex] = 2

and, n= 6th term

[tex]a_n[/tex] = -18 + 5(6-1)

[tex]a_n[/tex] = -18 + 5(5)

[tex]a_n[/tex] = -18 + 25

[tex]a_n[/tex] = 7

and, n= 7th term

[tex]a_n[/tex] = -18 + 5(7-1)

[tex]a_n[/tex] = -18 + 5(6)

[tex]a_n[/tex] = -18 + 30

[tex]a_n[/tex] = 12

Hence, the next three terms are 2, 7, 12.

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Answer:

Something does not make sense...

Step-by-step explanation:

The sequence is not geometric or arithmetic because there is no common difference or common ratio between each term.

Not a Geometric or Arithmetic Sequence

Answer:

The inequality that could be used is 8.50p≤300 and the greatest number of people that can attend is 35.

Step-by-step explanation:

From the information provided, you can write an inequality where total cost for people attending at the party should be less than or equal to $300:

3.50p+5.00p≤300

8.50p≤300

Now, you can solve for p:

p≤300/8.50

p≤35

According to this, the answer is that the inequality that could be used is 8.50p≤300 and the greatest number of people that can attend is 35.

Answer:

Option A is correct

Step-by-step explanation:

Speed of truck = 55 miles/hour

Time taken = 3.25 hours

Distance = Speed × Time

[tex]=55[/tex] × 3.25

[tex]=178.75[/tex]

But truck driver has to make a delivery at  a location that is 230.2 miles away.

Distance left to be covered by a truck driver = [tex]230.2-178.75=51.45[/tex] miles

So,

Yes, if the truck driver  continues at the same speed, she will make it to the location in the next  hour such that she only has 51.45 miles to go.

Option A is correct

We want to see if the truck driver has enough speed to reach the destination or not. The correct option is A "Yes, she only has 51.45 miles to go."

So we know that she needs to travel a total distance of 230.2 miles.

Now, remember the relation:

Speed*time = distance.

And she travels at an average speed of 55 miles per hour for 3.25 hours, so she traveled a distance of:

(55 mi/h)*3.25 h = 178.75 mi

Then the remaining distance is just:

230.2 mi - 178.75 mi = 51.45 mi

Will she make it in the next hour?

Well, yes, she travels at 55 miles per hour and she has 51.45 miles remaining, so yes, she will make it.

The correct option is A: "Yes, she only has 51.45 miles to go."

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Answer:

[tex]\frac{3}{4} =\frac{3}{4}[/tex] Which means its true

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Answer:  True

Step-by-step explanation:

a x 10b

Follow the steps below to see how 843 is written in scientific notation.

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 843New Number: 8.43Step 2

Now, to find b, count how many places to the right of the decimal.

New Number:8.43Decimal Count:12

There are 2 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 8.43

b = 2

Now the whole thing:

8.43 x 102

Step 4

Check your work:

102 = 100 x 8.43 = 843

More Scientific Notation Examples

8418428448458.41 x 1028.42 x 1028.44 x 1028.45 x 102

Answer:

$0.64

Step-by-step explanation:

6 cans of soda = $3.84

3.84 / 6 = 0.64

1 can of soda = $0.64

Answer:

$0.64

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

5 x 2=10+4=14

x=2

Answer:its c

Step-by-step explanation:

Took the test

Answer:

C

Step-by-step explanation:

Answer:

It will take 26.88hours to get to the beach

Step-by-step explanation:

From the problem statement, we are asked to find the time required to reach the beach.

given data

distance s=1344 miles

speed v= 50 mph

time t=?

we know that the relationship between speed, distance and time is given as

velocity=distance/time

substituting our given data into the expression we have

50=1344/t

making t subject of the formula we have

t=1344/50

t= 26.88 hours

Therefore it will take 26.88hours to get to the beach

Answer:

4 ·2i

Step-by-step explanation:

√2 + √-18

√2 + √9·-2

√2 + 3√-2  

(3 +1 )(√2 ·√-2) = 2i

4 · 2i

The value of y for the equation y = |x| + 1 is 10.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

y = |x| + 1          (1)

To find the value of y when x is - 9.

Substitute the value of x in equation (1),

y = |-9| + 1

The mode value of is always positive,

y = 9 + 1

y = 10

The required value of y is 10.

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Answer:

The area of the pool is [tex]864\ ft^2[/tex]

The pool's width is 36 ft

Step-by-step explanation:

Volume and Area

The volume of a rectangular pool is the product of the pool's area and depth. We are given the pool's depth d=12 feet and the pool's volume V=10368 [tex]ft^3[/tex]

Since:

[tex]V= d*A[/tex]

Solving for A:

[tex]\displaystyle A=\frac{V}{d}=\frac{10368}{12}=864\ ft^2[/tex]

The area of the pool is [tex]864\ ft^2[/tex]

Now we calculate the pool's width, knowing the area is the product of the pool's length and width. Knowing the length is L=24 ft:

[tex]A=L*W[/tex]

Solve for W:

[tex]\displaystyle W=\frac{A}{L}=\frac{864}{24}=36[/tex]

The pool's width is 36 ft

Answer:

The point on the vertical axis (y-axis) represents the y-intercept.

It represents the height over the sea level at the starting point of hiking

Step-by-step explanation:

From the graph

→ The point on the vertical axis (y-axis) represents

→ Which means it represents their height at 0 hour

→ The real-world meaning of that point is:

The point on the vertical axis (y-axis) represents the y-intercept.

It represents the height over the sea level at the starting point of hiking

Answer:

[tex]\boxed { x = -\frac{5}{2}}[/tex]

Step-by-step explanation:

To determine the value of [tex]x[/tex], write expression by using the following measurement from both [tex]\angle 1[/tex] and [tex]\angle 2[/tex] and solve:

[tex]\angle 1 = 20 + 5x[/tex]

[tex]\angle 2 = x + 10[/tex]

[tex]20 + 5x = x + 10[/tex]

Solve for [tex]x[/tex]:

[tex]20 + 5x = x + 10[/tex]

[tex]20 + 5x - x = x - x + 10[/tex]

[tex]20 + 4x = 10[/tex]

[tex]20 - 20 + 4x = 10 - 20[/tex]

[tex]4x = -10[/tex]

[tex]\frac{4x}{4} = \frac{-10}{4}[/tex]

[tex]\boxed { x = -\frac{5}{2}}[/tex]

So, the value of [tex]x[/tex] is [tex]-\frac{5}{2}[/tex].

9514 1404 393

Answer:

Step-by-step explanation:

1. The parentheses are eliminated. The distributive property lets you do that.

2. 2x is subtracted from both sides. The subtraction property of equality lets you do that.

3. 28 is added to both sides. The addition property of equality lets you do that.

4. Both sides are divided by 2. The division property of equality lets you do that.

Answer:

-1

Step-by-step explanation:

they gave you the value to x so all you have to do is plug it in

h(-2) = -2 (-2) - 5

h(-2) = 4 - 5

h(-2) = -1

Substituting the value, x = - 2 into the function, the value of the function h(-2) is - 1

Given the function :

At h(-2) :

h(-2) = - 2(-2) - 5

h(-2) = 4 - 5

h(-2) = - 1

Therefore, the value of h(-2) is - 1

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Answer:

(4/9)/x = 12

(4/9) = 12x

Divide both sides by 12

27 is right

Answer:

its just 27

Step-by-step explanation:

whoever answered before was wrong

Answer:

The answer is 31/100

Step-by-step explanation:

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are  2  numbers to the right of the decimal point, place the decimal number over  10 2 ( 100 ) . Next, add the whole number to the left of the decimal.

Answer:

No

Step-by-step explanation:

It could not because in order for it to be a circle the number of kilometers would have to be constant, however in earth's orbit it is not constant, therefore it is an oval, not a circle.