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murzikaleks [220]

2 years ago

4

A kettle holds 4 liters of magic potion. There is 11 liter of the potion. About how many kettles can we fill with the magic poti

on? a-Between 0 and 1 kettles b-Between 1 and 2 kettles c-Between 2 and 3 kettles

1 answer:

KiRa [710]2 years ago

4 0

Answer:

c Between 2 and 3 kettles

Step-by-step explanation:

One kettle can hold 4 liters of magic potion.

There are 11 liters of the potion.

Therefore, the number of kettles needed for the 11 liters of potion is:

11 / 4 = 2 3/4

2 3/4 falls in between 2 and 3 on the number line.

This means that the number of kettles needed is between 2 and 3 kettles.

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The area of Miguel’s rectangular garden is 450 square feet. The garden is 9 feet wide.

Daniel [21]

Answer: 118 feet

Step-by-step explanation:

For a rectangular shape: Area = W × L

450 = 9 × L

450 ÷ 9

L = 50

Perimeter of a rectangular shape = 2L + 2W

Perimeter = (2 × 50) + (2 × 9)

= 100 + 18 = 118 feet

0 0

2 years ago

N(17+x)=34x−r<br> I need to solve for x

Paraphin [41]

Answer:

The value of x is, $x= \frac{17N+r}{34-N}$

Explanation:

Given: $N(17+x)=34x-r$

Distributive Property states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately.

If $a\cdot(b+c) =a\cdot b + a\cdot c$

Now, using distributive property on left hand side of the given expression as:

$N\cdot 17+N\cdot x = 34x-r$ or $17N+Nx = 34x-r$

Addition Property of equality state that we add the same number from both sides of an equation.

Add r to both sides of an equation:

$17N+Nx+r=34x-r+r$

Simplify:

$17N+Nx+r=34x$

Subtraction Property of equality state that we subtract the same number from both sides of an equation.

Subtract Nx from both sides of an equation;

$17N+Nx+r-Nx=34x-Nx$

Simplify:

$17N+r=34x-Nx$

or

$17N+r=x(34-N)$

Division Property of equality states that we divide the same number from both sides of an equation.

Divide by (34-N) to both sides of an equation;

$\frac{17N+r}{34-N}= \frac{x(34-N)}{34-N}$

On Simplify:

$x= \frac{17N+r}{34-N}$

4 0

2 years ago

Read 2 more answers

The enrollment at sunshine College has been increased by 45 students per year. Currently sunshine College has 1100 students atte

docker41 [41]

Answer:

After 15 years both the colleges will have same number of students.

Step-by-step explanation:

The enrollment at sunshine College has been increased by 45 students per year. Currently, sunshine College has 1100 students attending.

So, after x years the number of students of this college will be (1100 + 45x).

Again, Marigold college currently has 2000 students, but its enrollment is decreasing in size by an average of 15 students per year.

So, after x years the number of students of this college will be (2000 - 15x).

If those two colleges have the same number of students after x years, then we can write

1100 + 45x = 2000 - 15x

⇒ 60x = 900

⇒ x = 15 years.

Therefore, after 15 years both the colleges will have the same number of students. (Answer)

7 0

2 years ago

Pete’s return from selling his investment is $22,000. He had purchased the investment at a cost of $20,000. What is Pete’s retur

Effectus [21]

Answer:

Option C

10%

Step-by-step explanation:

Given information

Cost of investment=$20000

Selling price=$22000

Profit=Selling price-Cost of investment=22000-20000=2000

Return on investment=profit/cost of investment

$RoI=\frac {2000\times 100}{20000}=10%$

6 0

2 years ago

World wind energy generating1 capacity, W , was 371 gigawatts by the end of 2014 and has been increasing at a continuous rate of

Sunny_sXe [5.5K]

Answer:

a) $W(t) = 371(1.168)^{t}$

b) Wind capacity will pass 600 gigawatts during the year 2018

Step-by-step explanation:

The world wind energy generating capacity can be modeled by the following function

$W(t) = W(0)(1+r)^{t}$

In which W(t) is the wind energy generating capacity in t years after 2014, W(0) is the capacity in 2014 and r is the growth rate, as a decimal.

371 gigawatts by the end of 2014 and has been increasing at a continuous rate of approximately 16.8%.

This means that

$W(0) = 371, r = 0.168$

(a) Give a formula for W , in gigawatts, as a function of time, t , in years since the end of 2014 . W= gigawatts

$W(t) = W(0)(1+r)^{t}$

$W(t) = 371(1+0.168)^{t}$

$W(t) = 371(1.168)^{t}$

(b) When is wind capacity predicted to pass 600 gigawatts? Wind capacity will pass 600 gigawatts during the year?

This is t years after the end of 2014, in which t found when W(t) = 600. So

$W(t) = 371(1.168)^{t}$

$600 = 371(1.168)^{t}$

$(1.168)^{t} = \frac{600}{371}$

$(1.168)^{t} = 1.61725$

We have that:

$\log{a^{t}} = t\log{a}$

So we apply log to both sides of the equality

$\log{(1.168)^{t}} = \log{1.61725}$

$t\log{1.168} = 0.2088$

$0.0674t = 0.2088$

$t = \frac{0.2088}{0.0674}$

$t = 3.1$

It will happen 3.1 years after the end of 2014, so during the year of 2018.

7 0

2 years ago