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frozen [14]
3 years ago
7

Calculate the quotient. If needed, draw a model. 3/4 divided by 1/5

Mathematics
1 answer:
a_sh-v [17]3 years ago
6 0

Answer:

15/4, or 3.75

Step-by-step explanation:

all i really did was plug it into the calculator like so:  (3/4)/(1/5) and thats what came out

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Put these fractions in order from least to greatest:
rewona [7]

Answer:

1/4, 3/8, 2/3

Step-by-step explanation:

3/8 is more than 25% (1/4) but is less than 66% (2/3) making the order 1/4 3/8 2/3.

6 0
3 years ago
Read 2 more answers
A bathtub is draining at a constant rate. After 2 minutes, it holds 30 gallons of water. Three minutes later, it holds 12 gallon
aliya0001 [1]
Let x, represent the number of minutes and y represents the number of gallons of water in the tub, then the ordered pairs (2, 30) and (5, 12) satisfies the equation.

Therefore the equation is given by: (y - 30)/(x - 2) = (12 - 30)/(5 - 2)
(y - 30)/(x - 2) = -18/3 x = -6
y - 30 =  -6(x - 2) = -6x + 12
y = -6x + 42

Required equation is y + 6x = 42.
5 0
3 years ago
If you need 3/4 cups of beans for 7 servings. How many do you need if you want to make 35 servings
alukav5142 [94]

Answer:

3 3/4 cups

Step-by-step explanation:

We need 3/4 cups of beans for 7 servings, and we need to figure out how many cups we need for <em>35 servings</em>. You'll notice that 7 times 5 is 35. We can multiply 3/4 by 5 to find the answer to our problem. This thought process looks somewhat like this:

\frac{\frac{3}{4} }{7}  = \frac{x}{35}

Notice that we can multiply 5 by 3/4 to find the value of x.

So, 3/4 times 5 is equal to 15/4, or 3 3/4. So, you need 3 3/4 cups of beans for 35 servings.

Hopefully this was helpful! If you have any more questions, let me know.

6 0
3 years ago
Use an induction proof to prove this statement:<br> For n≥1, 4^n+5 is divisible by 3.
Tpy6a [65]

Answer:

See below

Step-by-step explanation:

We shall prove that for all n\in\mathbb{N},3|(4^n+5). This tells us that 3 divides 4^n+5 with a remainder of zero.

If we let n=1, then we have 4^{1}+5=9, and evidently, 9|3.

Assume that 4^n+5 is divisible by 3 for n=k, k\in\mathbb{N}. Then, by this assumption, 3|(4^n+5)\Rightarrow4^k+5=3m,\: m\in\mathbb{Z}.

Now, let n=k+1. Then:

4^{k+1}+5=4^k\cdot4+5\\=4^k(3+1)+5\\=3\cdot4^k+4^k+5\\=3\cdot4^k+3m\\=3(4^k+m)

Since 3|(4^k+m), we may conclude, by the axiom of induction, that the property holds for all n\in\mathbb{N}.

3 0
2 years ago
24x25x3.3 = 114 (Give answer correct to 1 place of decimal).
antoniya [11.8K]

Answer:

the correct answer is 1980

Step-by-step explanation:

just know

7 0
3 years ago
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