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Paladinen [302]
2 years ago
14

Lucia is making invisibility potions. Each potion requires 222 eyes of newt. How many invisibility potions can Lucia make with 1

61616 eyes of newt? Lucia has all of the other ingredients she needs.
Mathematics
1 answer:
Anna71 [15]2 years ago
7 0

We have been given that Lucia is making invisibility potions. Each potion requires 2 eyes of newt. We are asked to find the number of invisibility potions that Lucia can make with 16 eyes of newt.

We will use proportions to find the number of potions that Lucia can make with 16 eyes of newt as:

\frac{\text{Invisibility potions}}{\text{Number of Newt eyes}}=\frac{1}{2}

\frac{\text{Invisibility potions}}{16}=\frac{1}{2}

\frac{\text{Invisibility potions}}{16}\times 16=\frac{1}{2}\times 16

\text{Invisibility potions}=8

Therefore, Lucia can make 8 invisibility potions with 16 eyes of newt.

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Riya is applying mulch to her garden. She applies it at a rate of 250,000 cm^3 for every m^2 of garden space
Fudgin [204]
Rate is the change in one variable in relation to another variable. Generally, rate is calculated as follows:

R = ΔV1/ΔV2

Where
R = Rate
ΔV1 = Change in variable 1
ΔV2 = Change in variable 2

In the current scenario,
ΔV1 = 250,000 m^3 of mulch applied
ΔV2 = 1 m^2 of garden space

Therefore,
Rate of applying much is, R = 250,000/1 = 250,000 m^3/m^2
8 0
2 years ago
Read 2 more answers
Find solution to the system of linear equations. 5x1 + x2 = 0 , 25x1 + 5x2 = 0
Zigmanuir [339]

Answer:

the system of equation has infinite solution

Step-by-step explanation:

5x_1 + x_2 = 0 , 25x_1 + 5x_2 = 0

Solve the first equation for x_2

Subtract 5x1 on both sides

5x_1 + x_2 = 0

x_2 =-5x_1

Now substitute -5x1 on second equation

25x_1 + 5x_2 = 0

25x_1 + 5(-5x_1)= 0

25x_1-25x_1= 0

0=0

So the system of equation has infinite solution

5 0
2 years ago
Read 2 more answers
Find the difference between the cash price and the payment plan and calculate the interest rate for the following questions.
vagabundo [1.1K]

Answer:

1).

Difference = $6

Interest rate= 4.03%

2).diffrence = $97

Interest rate = 14.37%

3). Difference = $7

Interest rate= 4.67%

4). difference= 191

Interest rate= 9.6%

5). Difference= 2.25

Interest rate= 3%

6). Difference=$ 302

Interest rate=9.12%

Step-by-step explanation:

1).$10 per months for 15 months

= 10*15=$150

PLus a down payment of $5= $155

Interest = 155-149= $6

Interest rate = 6/149*100= 4.03%

2.)$120.00 per month for 6 months

= 120*6=$ 720

Plus a down payment of $52=$772

Interest= 772-675= $97

Interest rate = 97/675 *100= 14.37%

3). $12.00 per month for 11 months

= 12*11= 132 plus down payment of $25

= $157

Interest= 157-150= $7

Interest rate=7/150 *100= 4.67%

4).$74.00 per month for 24 months

= 74*24=$1776

Plus a down payment of $400=$ 2176

Interest= 2176-1985= 191

Interest rate= 191/1985*100= 9.6%

5).$4.75 per week for 11 weeks

= 4.75*11=$52.25

Plus a down payment if $25

= 25+52.25=$ 77.25

Interest= 77.25-75= 2.25

Interest rate= 2.25/75 *100= 3%

6).$300 a month for 10 months

= 300*10= $3000

Plus a down payment of $600

= $3600

Interest=3600-3298= 302

Interest rate= 302/3298 *100=9.12%

5 0
2 years ago
Mary was told that a line goes through the points (1, 3) and (6, -2) and has a slope of 3.
ki77a [65]

Answer:

a. The slope is incorrect

b. y = 3x, ( 0 , 0 )

c) y = 4 - x

Step-by-step explanation:

Given:-

The slope between two points (1, 3) and (6, -2) is 3.

a. Explain why the information Mary was given cannot be correct.

- The slope between two arbitrary points, ( x1 , y1 ) and  (x2 , y2) is given by the following relationship:

                         slope = ( y2 - y1 ) / ( x2 - x1)

- Use the given points (1, 3) and (6, -2) and determine the slope:

                        slope = ( -2 - 3 ) / ( 6 - 1 )

                        slope = ( -5 ) / ( 5 )

                        slope = -1

- Yes, the given slope is incorrect it should be = -1

b.If the given point (1, 3) and the given slope are correct, what is the equation for the line? Give the  coordinates of another point on the line

- We will assume the point (1,3) lies on line with a slope = 3.

- We will use the slope-intercept equation of line:

                              y = slope*x + c

Where,      m : Slope

                 c : y-intercept

                             y = 3x + c

Using the given correct point to evaluate the y-intercept (c):

                             3 = 3*1 + c

                             c = 0

- The equation of line is,

                            y = 3x

- The origin (0,0) lies on the line y = 3x.

c. If the given points are correct for the line, what is the slope? Write an equation for the line

- We will assume the points (1, 3) and (6, -2) lies on line with a slope calculated in part (a) to be = -1.

- We will use the slope-intercept equation of line:

                              y = slope*x + c

Where,      m : Slope

                 c : y-intercept

                             y = -x + c

Using the given points to evaluate the y-intercept (c):

                             3 = -1 + c

                             c = 4

- The equation of line is,

                            y = -x + 4

4 0
2 years ago
-5 + 3g + (-3) - 8g = -18
Greeley [361]

Answer:

the answer is g=2

Step-by-step explanation:

hope this helps!!!

3 0
2 years ago
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