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3 years ago

The table shows the linear relationship in a tank and time.

Mathematics

1 answer:

cluponka [151]3 years ago

6 0

$y = mx + b$

y = slope (x) + y - intercept

To find the slope we need to find out how much the x's and y's increase or decrease...

To find the y - intercept if any, simply look for coordinates ( 0 , y ) or 0 and a #.

~~

In this case, as time passes, the water level decreases therefore we have a negative slope.

Time is our x and amount (ft) is our y.

On the x side it increases by 2

On the y side it decreases by 10

Now do y over x ==> 10 over 2 and get 5 ==> m

-5 is our slope and 50 is our y - intercept

~~

The "rate of change" is another word for slope.

Well, slope is - 5ft is our slope.

$y = - 5x + 50$

~~

I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey

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At 55 mph it will take you approximately _____ feet to stop the car. A. 5 feet B. 100 feet C. 228 feet

ololo11 [35]

Answer:

The correct answer is option C, 228 feet

Step-by-step explanation:

As per Newton’s third law of motion:

V2 – U2 = 2 x a x S

Where V = final velocity

U = Initial Vlocity

a = acceleration (-ve)

S= distance travelled

V= 0 mph

U= 55 mph = 80.6667 ft /sec

0 – (80.6667 ft /sec)2 = 2 x (-g/2) x S

S = (80.6667 ft /sec)2 /(32.2 feet per second per second x0.5)

S = 202.1 feet

So the most nearest option is option C

6 0

2 years ago

500 plates cost $18.00 what does each plate cost

ozzi

Answer:

$0.036

Step-by-step explanation:

I will be solving this questions in a rational, proportional way.

This question given is directly proportional. There are two types of proportion.

Direct - Let's say there are two values, x and y. In direct proportion, while x increases, y increases with it.

Inverse- Taking x and y, in inverse proportion, while x increases, y decreases or while y increases, x decreases.

In the given example, there are two values, number of plates and cost of plates. While the number of plates increases, the cost would surely increase. Therefore, giving us that it is a direct proportion.

500 plates : $18.00 :: 1 : $x

500 plates is to 18 dollars, then, 1 plate is to how many dollars?

In direct proportion, the product of extremes is equal to the product of means.

500(x) = 18(1)

500x = 18

x = 18 / 500

x = 0.036

Hence, one plate costs $0.036 or 3.6 cents

5 0

2 years ago

Read 2 more answers

Marilyn has two credit cards, D and E. Card D has a balance of $691. 64, and Card E has a balance of $1,014. 22. The minimum mon

elena-14-01-66 [18.8K]

By using basic concept of percentage we got that minimum payment on Card E is 0.77 than on Card D.

<h3>What is percentage ?</h3>

Percentage is a number or ratio expressed as a fraction of 100.

Here given that

Marilyn has two credit cards, D and E. Card D has a balance of $691. 64, and Card E has a balance of $1,014. 22. The minimum monthly payment on Card D is 3. 57% of the total balance, and the minimum monthly payment on Card E is 2. 51% of the total balance

So minimum balance of Card D is 3.57 Percentage of $ 691.64

$=3.54\times\frac{691.64}{100} =24.691548=24.69$

minimum balance of Card E is 2. 51 Percentage of $1,014. 22.

$=2.51\times\frac{1014.22}{100} =25.456922=25.46$

Now we can see that minimum balance of Card E is 25.49-24.69=0.77 extra that on D

By using basic concept of percentage we got that minimum payment on Card E is 0.77 than on Card D.

To learn more about Percentage visit : brainly.com/question/19247356

4 0

2 years ago

Form a sequence that has two arithmetic means between -13 and 89. a. -13, 33, 43, 89 c. -13, 21, 55, 89 b. -18, -36, -72, -144 d

iogann1982 [59]

<span>Form a sequence that has two arithmetic means between -13 and 89. a. -13, 33, 43, 89 c. -13, 21, 55, 89 b. -18, -36, -72, -144 d. -18, -81, -144

Solution:

Since it has to be between -13 and 89, letter d and b are not anymore considered to be the answer.

for a:
33-(-13)=46=d
43-33=10=d the value for this d is different from the two sequence,
89-43=46=d
they have different value for d, thus this is not the answer!

for c:
21-(-13)=34=d
55-21=34=d
89-55=34=d

they have the same value for d, thus the correct answer is </span><span> c. -13, 21, 55, 89</span>

8 0

3 years ago

Write an inequality to represent the graph.

Westkost [7]

Answer:

y ≥ −4x − 2

Step-by-step explanation:

8 0

3 years ago