All categories

4 years ago

Morgan uses 2 oz of dog shampoo to bathe her dog each week. After 4 wk, 34 oz of shampoo remains.

1 answer:

6 0

The amount of shampoo required by Morgan each week to bathe her dog = 2 oz
So
The amount of shampoo required by Morgan in 7 days to bathe her dog = 2 oz
The amount of shampoo remaining after 4 weeks = 34 oz
So the amount of shampoo remaining after (4 * 7) days = 34 oz
The amount of shampoo remaining after 28 days = 34 oz
The amount of shampoo that Morgan uses in 28 days = (2/7) * 28 oz
= 2 * 4 oz
= 8 oz
Then
8 oz of shampoo is required by Morgan in = 28 days
Then
34 oz of shampoo will be used in = (28/8) * 34 days
= 7 * 17 days
= 119 days
So
The total number of
days before the bottle becomes empty = 119 + 8 oz
= 127 days

You might be interested in

If b>1 in a function of the form f(x) = ab^x, is the function an example of exponential growth or exponential decay?

alex41 [277]

Answer:

It's exponential growth.

Step-by-step explanation:

b/c any value of b that's greater than 1 is an exponential growth function, and anything that's 0<b<1 or if b<0, the function would be an exponential decay.

3 0

3 years ago

A library ordered 956 new books. They ordered 12 times as many mystery books as romance. They ordered 52 more science fiction bo

Nataly_w [17]

Answer:

Romance books ordered = 65

Mystery books ordered = 775

Science Fiction book Ordered ≈ 116

Step-by-step explanation:

Total number of books ordered in the library = 956

Let us assume the number of romance books ordered = m

⇒Number of mystery books ordered = 12 x (Number of romance books)

= 12 x(m) = 12 m

Also,number of science books ordered = 52 +(Number of romance books)

= 52 + m

Now, according to the question:

Number of { romance books + mystery books + science books} = 956

or, m + ( 12 m ) + (52 + m) = 956

or, 14 m = 956 - 52

or, 14 m = 904

⇒ m = 904/ 14 = 64.6

So, the number of romance books ordered = 64.6 ≈ 65

Number of mystery books ordered = 12 m = 12 x 64.5 = 775

Number of science fiction book ordered = = 52 + m = 116.6 ≈ 116

7 0

3 years ago

Help please :( From a standard deck of cards, 1 ace (A), 1 king (K), 1 queen(Q), and 1 Jack () are placed into a box. An experim

Triss [41]

Answer: it's either a or b

Step-by-step explanation:

I am not really sure but I think it's A because they said one of each card has been placed in a box. Then I said it's B because there are four of each card of ace, kind, jack and a queen in a standard deck of cards

6 0

3 years ago

What is the remainder when $2^3 \cdot 4^5 \cdot 6^7 \cdot 8^9$ is divided by 13?

Lorico [155]

Answer:Hint:

the remainder is 2.

Step-by-step explanation:

23≡1 mod 7 and 33≡−1 mod 7.

Edit: The only thing you need from the modular arithmetic is that

a⋅b mod 7=(a mod 7)(b mod 7) mod 7,

meaning the remainder of a product is the remainder of the product of remainders. This is self-evident as a⋅b must have the same remainder as (a−7k)⋅(b−7l).

Since exponentiation is just repeated multiplication, we can write

230⋅320=(23)10⋅(33)6⋅32≡110⋅(−1)6⋅9=9

5 0

3 years ago

If P(A)=2/3, P(B)= 4/5 and P(A U B) = 3/5, what is P(A u B)?

klemol [59]

From basic probability we know that if A and B are any two events in the sample space, S, then:

$P(A\cup B)=P(A)+P(B)-P(A\cap B)$