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Tju [1.3M]
3 years ago
8

An oil tank is being filled at a constant rate. The depth of the oil is a function of the number of minutes the tank has been fi

lling, as shown in the table. Find the depth of the oil one-half hour after filling begins.
Mathematics
1 answer:
NISA [10]3 years ago
7 0
Hello,

Your brainliest answer would be:

(10,5)

(15,6)
———————-

(10,5) (15,6)

6-5. 1
——. = ——
15-10. 5


M= 1/5

Y = 3

Y= 5+ 1/5 (x-10)

Y= 5+ 1/5x -2
-5. -5
Y= 1/5x + 3

1/5 feet per minute

3 feet is where it started


1/5 (30) + 3

5 goes into 30 six times

So 6 + 3 is 9

Your answer would be:

9 minutes!


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Gayle is making gift bags and must tie 250 ribbons to them. If Gayle can tie 4 ribbons every 10 minutes, how long will it take G
mart [117]

Answer:

625 minutes

Step-by-step explanation:

Given that:

Time taken to tie 4 ribbons = 10 minutes

Number of ribbons to be tied = 250

To find:

Time taken to tie 250 ribbons.

Solution:

First of all, we need to find the time taken to tie one ribbon.

And then we can multiply it with 250 to find the time taken to tie all the 250 ribbons.

For finding the time to tie one ribbon, we need to divide the time taken to tie 4 ribbons with 4.

Time taken to tie 1 ribbon = \frac{10}{4} = 2.5 minutes

Time taken to tie 250 ribbons = 2.5 \times 250 = <em>625 minutes</em>

4 0
2 years ago
Select the correct answer. robin randomly selects a number between 1 and 20. what is the probability that the number selected is
Vlada [557]

The probability that the number selected is the square of a natural number will be  \frac{1}{5}.

<h3 /><h3>What is probability?</h3>

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.

Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

P is the probability

F(E) is the favorable event

T(E)is the total event

The probability is found as;

\rm P = \frac{F(E)}{T(E)} \\\\ \rm P = \frac{4}{20)} \\\\ \rm P = \frac{1}{5}

Hence the probability that the number selected is the square of a natural number will be  \frac{1}{5}.

To learn more about the probability link is given below.

brainly.com/question/795909

8 0
2 years ago
Use the properties of exponents to rewrite the expression.<br> (-3yz)(-3yz)(-3yz)(-3yz)
Lera25 [3.4K]

Answer:

Answer is 81y^4z^4

Step-by-step explanation:

The expression is (-3yz) (-3yz) (-3yz) (-3yz).

Since all the four terms have power 1:

(-3yz)^1 (-3yz)^1 (-3yz)^1 (-3yz)^1

We know that we can add the powers if the terms have same base

So,

=(-3yz)^1+1+1+1

=(-3yz)^4

=(-3)^4(y)^4(z)^4.

If the power is an even number than the negative sign changes into positive sign.

=3^4y^4z^4

=81y^4z^4

Thus the answer is 81y^4z^4....

3 0
3 years ago
The cheeseburger contained 30 grams of total fat. If the recommended daily allowance of total fat for a 2,000 calorie diet is 64
netineya [11]

Answer:

47%

Step-by-step explanation:

We can find the percent of the daily allowance by finding what percent 30 is of 64:

30/64 = 0.468 or approx. 47%

5 0
3 years ago
If x – 9 is a factor of x2 – 5x – 36, what is the other factor? x – 4 x 4 x – 6 x 6
Sergio [31]

Answer:

(x+4)

Step-by-step explanation:

Solve by factoring. Think about what numbers multiply to be -36 (the last term) BUT also subtract/add up to be -5, which is the middle term. The answer to this is 4 and -9. Therefore, the two factors are (x-9)(x+4)

8 0
3 years ago
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