Kendall makes candles and sells them online. To make an Essential Elegance candle, she adds
3 drops of lavender and 6 drops of vanilla to a bowl of unscented wax. To make a Garden
Glory candle, she adds 4 drops of lavender and 10 drops of vanilla to the bowl instead. Which
candle has a greater ratio of lavender to vanilla?

Answer:

area= 62.88

Step-by-step explanation:

to find the area of the whole figure take the diameter of the circle witch is 8 and multiply it by 11. the area of the whole figure including the semi-circle is 88.

now find the area of the whole circle and divide it in half.

A= pi * r^2 / 2

A= 3.14 * 4^2 /2

A= 3.14 * 16 / 2

A= 25.12

Now take the area of the semi-circle and subtract it from the whole figure.

88-25.12=62.88

Answer:  [tex]\frac{204}{1279}[/tex]

Step-by-step explanation:

Formula for intersection:

n(A and B) = n(A)+n(B)-n(A or B)

Given: n(Slingshot) = 247

n(Scream Flyer)= 237

n(Slingshot or the Scream Flyer) = 280

n (Slingshot and Scream Flyer)= 247+237-280

=204

Probability of any event = [tex]\frac{\text{Number of favourable outcomes}}{\text{total outcomes}}[/tex]

P(both the Slingshot and the Scream Flyer)= [tex]\frac{204}{1279}[/tex]

Required probability = [tex]\frac{204}{1279}[/tex]

Answer:

L = 16oz

M = 12oz

S = 8oz

Step-by-step explanation:

8 large equal to 128oz ( 8 x 16 = 128 )

4 medium equal to 48oz ( 4 x 12 = 48

4 large equal to 64oz ( 4 x 16 = 64

12 medium equal to 144oz ( 12 x 12 = 144 )

Total of oz equal 384oz

384 - 80 = 304/80 = 3.8

3 more bowl of 80oz and 5 Mcup and 1/2 Scup

Answer:

24.2424242424242%

Step-by-step explanation:

16+17+33=66

16÷66=0.2424242424242

Step-by-step explanation:

Answer:

Solution :-here,

f (x)= 13

or, 6x-5= 13

or, 6x =13+5

or, 6x = 18

or, x = 18/6

or, x = 3

hope it is helpful to you

Answer:

(-4,-5)

Step-by-step explanation:

hope you pass ur exams!!

Answer:

m=slope

(x_1, y_1)=coordinates of the first point in the line

(x_2, y_2)=coordinates of the second point in the line

Step-by-step explanation:

Answer:

that would be 9 as the least common denominator

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

The average rate of change for this quadratic function for the interval from x = 0 to x = 2 is -2

A relation is a function if it has only One y-value for each x-value.

The average rate of a function f(x)  from x=a to x=b is given as:

= f(b)-f(a)/b-a

Clearly we are asked to find the average rate of change from x=0 to x=2.

i.e. a=0 and b=2

Also, from the graph it could be observed that:

f(0)=1

and f(2)=-3

=f(2)-f(0)/2-0

=-3-1/2

=-4/2

=-2

Hence, the average rate of change for this quadratic function for the interval from x = 0 to x = 2 is -2

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Answer:

3

Step-by-step explanation:

12÷4=3

Have a good day:)

Answer:

6 cm

Step-by-step explanation:

To find the range take the largest number and subtract the smallest number

The largest number is 141 and the smallest number is 135

141 - 135 = 6 cm

Answer:

7.333

Step-by-step explanation:

(42 ÷ 18 ) +5 =

7/3 +5 =

7/3 + 15/3 =

22/3 =

7.333

Answer:

4.33

Step-by-step explanation:

Answer:

true for all x

Step-by-step explanation:

|2x-8|+4>-3

Subtract 4 from each side

|2x-8|+4-4>-3-4

|2x-8|>-7

An absolute value is always positive so this is true for all x

2n + 1 , 2n + 3 , 2n + 5

____________________________

( 2n + 5 ) + ( 2n + 3 ) = 5 × ( 2n + 1 ) - 15

4n + 8 = 10n + 5 - 15

4n + 8 = 10n - 10

Add both sides 10

4n + 8 + 10 = 10n - 10 + 10

4n + 18 = 10n

Subtract both sides 4n

4n - 4n + 18 = 10n - 4n

18 = 6n

Divide both sides by 6

18 ÷ 6 = 6n ÷ 6

n = 3

_________________________________

Thus that three numbers are :

2(3) + 1 , 2(3) + 3 , 2(3) + 5

6 + 1 , 6 + 3 , 6 + 5

7 , 9 , 11

And we're done ....

Answer:

Number of servings= 48.05

Step-by-step explanation:

Giving the following information:

One package of cookies contains 3,460 calories. Each serving of cookies contains 72 calories.

To calculate the number of servings, we need to use the following formula:

Number of servings= total calories / calories per serving

Number of servings= 3,460 / 72

Number of servings= 48.05

Answer:

d. 84 yd

Step-by-step explanation:

[tex] \frac{1}{2} (12 + 36)(3.5) \\ \frac{1}{2} (48)(3.5) \\ \frac{168}{2} = 84[/tex]

Answer: 3

Step-by-step explanation:

Given

The period of the function is [tex]4\pi[/tex] i.e. function completes a full cycle in this zone.

For a horizontal length of [tex]12\pi[/tex]

Number of cycles is

[tex]\Rightarrow \dfrac{12\pi }{4\pi }=3[/tex]

So, there are 3 ycles of the function in length of [tex]12\pi[/tex].

Answer:

3

Step-by-step explanation:

I just did it and it was correct.

Answer:

No bcuz its not on the line

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Kya Hua Hai Bhai Sab Kuchh khae Duniya Mein Sab Koi pata nahin to Aap To Pyar Karte

Answer: 4.14 m.

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

180-110=70

70/2=35

x=35

You take 180-110=70 and divide it by two because you have to know each angle measure. That causes you to get 35. Therefore, X=35

Hope this helps:)

Answer:

do u need help with the whole page?

Step-by-step explanation:

9514 1404 393

Answer:

  y = -1.5x +3

Step-by-step explanation:

The two points marked on the line are ...

  (-4, 9) and (6, -6)

The slope formula can be used to find the slope:

  m = (y2 -y1)/(x2 -x1)

  m = (-6 -9)/(6 -(-4)) = -15/10 = -1.5

The intercept formula can be used to find the y-intercept:

  b = y -mx

  b = 9 -(-1.5)(-4) = 9 -6 = 3

The slope-intercept form of the equation for a line is ...

  y = mx + b . . . . . . . line with slope m and y-intercept b

  y = -1.5x +3

_____

Additional comment

We can see that the line crosses the y-axis at y=3, so this is the value of b. We only need to read it from the graph. We don't really need the formula shown above.

The line also crosses the x-axis at x=2. This means the line decreases 3 units (from y=3 to y=0) as x increases by 2 units (from x=0 to x=2). Then the slope is ...

  m = rise/run = (-3)/(2) = -3/2 = -1.5 . . . . as calculated above

That is, we can find the parameters of interest by simply counting grid squares on the graph.

Answer:

A= 18

Step-by-step explanation:

Answer:

18 your answer is correct

Step-by-step explanation:

12x3=36

36÷2=18

Answer:

a = 500,000(1.15)^t

1,160,000

Step-by-step explanation:

a = 500,000(1.15)^t

in 2016

a = 500,000(1.15)^6

a = 1,156,530

Rounded

1,160,000

The number of members present in 2016 is 1,156,530. It can be rounded to 1,160,000.

What is an exponential function?

The function is expressed in the form like f(x) = a^x  are called exponential function. Where x is a variable and a is a constant.

The number of members in the website in 2010 is 500,000.

Each year y members increased by 15%.

The exponential relation of members and year is

y = 500,000(1.15)^t

Then in 2016 the number of members present are given by,

y = 500,000(1.15)^6 = 1,156,530.

Hence, 1,156,530 members present in 2016. It can rounded to 1,160,000.

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Answer: $32,732.58

Step-by-step explanation:

To calculate the total loan payment over the course of the loan period, use the future value formula:

= Loan amount * (1 + rate) ^ number of years

As this loan is compounded monthly, you need to convert certain terms to monthly figures:

Number of periods = 6 * 12 months = 72 months

Interest = 4.5 / 12 = 0.375%

Total payment:

= 25,000 * ( 1 + 0.375%)⁷²

= $32,732.58

He will have to pay $34,236.31 over the course of the loan.

Using the compound interest formula expressed as:

[tex]A =P(1+r/n)^{nt}[/tex]

P is the principal = $25000

r is the rate = 4.5% = 0.045

t is the time in years = 6 years

n is the compounding amount = (12)monthly

Substitute into the formula:

[tex]A =25000(1+0.045/12)^{12(7)}\\A=25000(1.36945)\\A = \$34,236.31[/tex]

Hence he will have to pay $34,236.31 over the course of the loan

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Answer:

Diagonal AC is NOT perpendicular to diagonal BD

Step-by-step explanation: