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3 years ago

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A water tank holds 504 gallons but is leaking at a rate of 4 gallons per week. A second water tank holds 672 gallons but is leak

ing at a rate of 7 gallons per week. After how many weeks will the amount of water in the two tanks be the same?

1 answer:

Orlov [11]3 years ago

7 0

Answer:

That will be 75.6 if am nt mistaken

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Write an equivalent form of the exponential<br> expression:<br> (x4)3

ELEN [110]

Answer:

x¹²

Step-by-step explanation:

You need to indicate which terms are exponents. For example, (x⁴)³ can be written as (x^4)^3.

(x⁴)³ = x⁴*³ = x¹²

5 0

2 years ago

Two cards are selected from a standard deck of 52 playing cards. the first is replaced before the second card is selected. find

Iteru [2.4K]

<span>The correct answer is
</span> Find the probability of selecting a diamond and then selecting a queen.

standard deck of 52 playing cards

<span>hearts: 2, 3, 4, 5, 6, 7, 8, 9, 10, j, q, k, A---- > 13 cards</span>

<span>clubs: 2, 3, 4, 5, 6, 7, 8, 9, 10, j, q, k, A---- > 13 cards</span>

<span>spades: 2, 3, 4, 5, 6, 7, 8, 9, 10, j, q, k, A---- > 13 cards</span>

<span>diamonds: 2, 3, 4, 5, 6, 7, 8, 9, 10, j, q, k, A---- > 13 cards</span>

a) The probability of selecting a diamond is 13/52

<span>b) </span>The probability of selecting a queen is 4/52

<span>c) </span>The probability of selecting a diamond and then selecting a queen is

(13/52)*(4/52)=0.0192------------->1.92%

6 0

3 years ago

Tara goes on a weekend road trip to see her best friend Natosha Tara lives in Memphis Tennessee and Natasha lives in Nashville w

Sloan [31]

Answer:

It will take Tara 3 hours to get to Nashville. If they meet, it would take them 1 hour and 46 minutes or 1.766 hours.

Step-by-step explanation:

Divide 212 miles by 65 mph: 212÷65=3.2 and 3.2 rounded is 3. They will each drive half the way if they meet in the middle, so 212 miles divided by 2 is 106. Divide that by 60: 106/60=1.766. That is equivalent to 1 hour and 46 minutes.

7 0

3 years ago

Mr. Nolan has a bank account that compounds interest

german

Answer: At the end of the day on December 8, he has a total balance of $2841.02

Step-by-step explanation:

The rate at which the compound interest adds up is a 3.7%.

His principal is $2644.08, on the 7th of December, he withdraws $550. Thus, his balance is = $2644.08 - $550 = $2094.08.

He later deposits $934, after being paid by his employer.

That is $2094.08 + $934 = $3028.08

Which is his balance at the end of the day on December 7.

Remember that the rate is daily, at a 3.7%.

A 3.7% of the balance of December 7, $3028.08 is $112.039.

In total, interest +amount = real balance,

$112.039+$3028.08 = $3140.119

He later withdraws $300 for holiday shopping = $3140.119 - 300 = $2840.119

But 1 dollar = 100 cents and vice versa.

Therefore, $2840.119 = $2841.019

In two decimal places, that is approximately $2841.02

Therefore, Mr Nolan's balance at the end of December 8 is $2841.02.

4 0

3 years ago

a 5th grade volleyball team scored 32 points in one game. of those points 2/8 were scored in the second half. how many points we

Degger [83]

Answer:

Number of points scored in the first half of the match is 24 points.

Step-by-step explanation:

Total point scored in the volleyball game = 32

Let us assume the points scored in the first half = m

and the point scored on the second half = 2/8 of (Total points)

= $\frac{2}{8} \times 32 = 8$

⇒ The number of points s cored in the second - half = 8 points

Now, Points in FIRST half+ Points in SECOND half= Total Points

⇒ m+ 8 = 32

or, m = 32 - 8 = 24

⇒ m = 24

Hence, the number of points scored in the first half is 24 points.

4 0

3 years ago