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2 years ago

3 3/4 divided by 1 1/3 in fraction answer

Mathematics

1 answer:

wlad13 [49]2 years ago

6 0

Answer: 4/3

Step-by-step explanation:

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A cabinetmaker buys 3.5 liters of oak varnish. The varnish costs $4.95 per liter. How much does 0.5 liters of varnish cost?

victus00 [196]

Answer:

$2.47

Step-by-step explanation:

The cabinetmaker would have paid $13.31 for everything.

5 0

3 years ago

Read 2 more answers

Use an induction proof to prove this statement: 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

Solve the system of equations by substitution y= 3x - 10 3x + 2y = 16

Natalija [7]

Y= 3x - 10
3x + 2y = 16

3x+2(3x-10)=16
3x+6x-20=16
9x-20=16
9x=36
x=4

y=3x-10
y=3(4)-10
y=12-10
y=2

5 0

3 years ago

Answer and how to do it

ollegr [7]

Answer:

$(x - 9)^2 + y^2 = 36$

Step-by-step explanation:

The equation of a circle in standard form is

$(x - h)^2 + (y - k)^2 = r^2$

You are given

$x^2 + y^2 - 18x + 45 = 0$

In order to put the equation in standard from, we need to complete the square. Since there is no y term, the y part is simply y^2, and there is no need to complete the square for y. For x, we do have an x term, so we must complete the square in x.

Start by grouping the x terms and subtracting 45 from both sides.

$x^2 - 18x + y^2 = -45$

Now we need to complete the square for x.

$x^2 - 18x ~~~~~~+ y^2 = -45$

The number that completes the square will go in the blank above, and it will also be added to the right side of the equation.

To find the number you need to add to complete the square, take the coefficient of the x term. It is -18. Divide it by 2. You get -9. Now square -9 to get 81. The number that completes the square in x is 81. Now you add it to both sides of the equation.

$x^2 - 18x + 81 + y^2 = -45 + 81$

$(x - 9)^2 + y^2 = 36$

Answer: $(x - 9)^2 + y^2 = 36$

6 0

3 years ago

Helpppp I’ll give 35 points !!!! 7) -10x - 6y = 12 4x + 7y=-14

Licemer1 [7]

Answer:

7) x=3, y=-7

x=0, y=-2

Step-by-step explanation:

4 0

3 years ago