A recipe used 2/3 cup of sugar for every 2 teaspoons of vanilla. How much sugar was used per teaspoon of vanilla?

Answer:

Step-by-step explanation:

C) 22

Answer:

Maria sold 56.5% of the total quantity of tickets sold.

Step-by-step explanation:

Given that between Maria and Sarah they both sold 161 tickets (91 + 70), and that of those 161 Maria sold 91 while Sarah sold 70, to determine the percentage of tickets that Maria sold over the total amount, the following crossed multiplication must be performed:

161 = 100

91 = X

((91 x 100) / 161) = X

9,100 / 161 = X

56.5 = X

Therefore, Maria sold 56.5% of the tickets sold.

Answer:

=0.444

Step-by-step explanation:

probability= expected outcome  =   4

                        total outcome            9

4 into decimal  = 0.444( to the nearest thousandths- 3dp)

9

The probability is 24.609%

The mathematical subject of probability deals with the outcomes of random events. The term "probability" refers to the possibility or chance of an outcome. It clarifies the likelihood of a particular occurrence. We use phrases like "It will probably rain today," "he will probably pass the test," "there is very little chance of getting a storm tonight," and "most probably the price of onion will go high again" all the time.

Given a coin is tossed 9 times, and to find the probability of exact four heads,

the probability for condition given by  binomial probability ⁿCₓ[(p)ˣ(q)ⁿ⁻ˣ]

where p is probability of tail = 1/2 (favorable outcome)

q is probability of head = 1/2: (1 - p)

n = total outcome = 9

x = 4

ⁿCₓ[(p)ⁿ(q)ⁿ⁻ˣ] = ⁹C₄[(1/2)⁴(1/2)⁵]

= [tex]\frac{9!}{4!(9 - 4)!}[/tex] [1/16 x 1/32]

= [tex]\frac{9 x 8 x7 x 6 x 5!}{4! x 5!}[/tex](512)

126/512 = 0.24609

= 24.609%

Hence the probability, to the nearest thousandth is 24.609%.

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Answer:

c

Step-by-step explanation:

Just trust me ive had ths question before

Answer:

tenth

Step-by-step explanation:

it just is

Answer:

a. positive.

Step-by-step explanation:

Matching and discordant pairs are used to describe the relationship between pairs of observations. To calculate matched and discordant pairs, data is treated as ordinal values. Therefore these are suitable for your application. The number of concordant and discordant pairs is used in Kendall's tau calculations, whose purpose is to determine the relationship among two ordinal variables.

If the direction of the classifications is the same, the pairs are concordant.

A pair of observations is discordant, suppose the subject being with an increased value on one variable is lower on the other.

SO; When discordant pairs exceed concordant pairs in a P-Q relationship, Kendall's tau reports a(n) positive association between the variables under study.

Answer:

i.  y=2x

ii. y=x+6

iii. y=-2x-6

iiii. y=-4x+3

iiiii. y=4x-3

Step-by-step explanation:

You can find the slope of the line by putting y2-y1/x2-x1

All you have to do is choose 2 points. Y2 is the second number y and x2 is the second number x. Y1 is the first number y and X1 is the first number X. To find y-intercept you look on the table and see where X is 0 and Y is any number that is the y-int. For example 5 there is no X=0 on the table so you put it in the point slope formula which is y-y1=m(x-x1) where you use the points from the slope. You multiply m to x and m to x1 where you will end up with y-y1=mx+mx1 then you add the y1 to mx1 where you will get the y intercept

Answer: B) Linear; it can be written as y = -3x-6

We subtract 6 from both sides to go from the original equation to -3x-6 = y

Then we flip both sides to end up with y = -3x-6

This is in slope intercept form y = mx+b with m = -3 as the slope and b = -6 as the y intercept.

Answer:

[tex]Exact Form\\x= -\frac{9}{2} \\\\Decimal form:\\x= -4.5\\\\Mixed number form:\\x=-4\frac{1}{2}[/tex]

Answer:

10a-16b+23

Step-by-step explanation:

First, you see what terms are alike. Then you add those like terms. For example with this expression, you add 7b+b+8b, resulting in 16b. If you are confused by the single b variable standing alone, there is basically a 1 in front of it, so you add it as 1b. 11 and 12 are like terms, for they don't have any variables attached to them. 10a stands alone because no other terms have an a variable. The simplified expression is 10a-16b+23.

Your welcome <3

The simplified value of the expression 10a - 7b + 11 + 8b - b - 12 is 1a - 1.

Given Expression:

10a-7b+11+8b-b-12

To simplify expression, first solve the like terms as

10a-7b+11+8b-b-12

= 10a -7b + 8b - b - 12 + 11

Now, -7b + 8b - b = -7b + 7b = 0

and, -12 + 11 = -1

Substituting the simplified value in 10a-7b+11+8b-b-12 gives

= 10a + 0 - 1

= 10a - 1

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Answer:

The value of x = 10.

Step-by-step explanation:

From the given triangle,

We know that the sum of a triangle is 180°.

i.e.

K + L + M = 180°

(5x - 18)° + 90° + (3x + 28)° = 180°

[tex]5x-18+90+3x+28=180[/tex]

[tex]5x+3x-18+90+28=180[/tex]

[tex]8x-18+90+28=180[/tex]

[tex]8x+100=180[/tex]

[tex]8x=80[/tex]

[tex]\frac{8x}{8}=\frac{80}{8}[/tex]

[tex]x=10[/tex]

Therefore, the value of x = 10

Answer:

0.9 meters long.

Step-by-step explanation:

0.009m times 100=0.9 m

Answer:

8 baby

Step-by-step explanation:

Answer:

the answer is d

Step-by-step explanation:

if you go threw your toutorial you will see that

Answer:the answer is D y-2= 1/5(x+3)

Step-by-step explanation:I took the test

y-2=-1/5(x+3) is the  point-slope form of the equation below that represents the line that passes through the points (-3, 2) and (2, 1).

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given two points are (-3, 2) and (2, 1)

m=1-2/2+3

=-1/5

So slope is -1/5.

Now let us find the point slope form

y-y₁=m(x-x₁)

y-2=-1/5(x+3)

Hence, y-2=-1/5(x+3) is the  point-slope form of the equation below that represents the line that passes through the points (-3, 2) and (2, 1).

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Answer:

The answer is 40miles in 1 hour

Answer:

%43

Step-by-step explanation:

I'm pretty sure? Its just what I think

Answer:

Step-by-step explanation:

Slope m = rise / run = ([tex]y_{2}[/tex] - [tex]y_{1}[/tex]) / ([tex]x_{2}[/tex] - [tex]x_{1}[/tex])

1). (-4,3)

   (4, - 1)

m = (-1 - 3) / (4 + 4) = - 1/2

2). (-1, 1)

    (2, - 5)

m = (- 5 - 1) / (2 + 1) = - 2  

3). (6, 4)

    (5, 4)

m = (4 - 4) / (5 - 6) =  0  (graph is horizontal line)

4). (1, 4)

    (4, 1)

m = (1 - 4) / (4 - 1) = - 1

5). - 3/4

6). 4/3

Now is your turn. You can do it!!!

7). (1, 1)

   (2, 2)

m = ____

8). ( __ , __ )

  ( __ , __ )

m = _____  

9). (0, 2)

   (0, 4)

m = (4 - 2) / (0 - 0) = undefine slope or no slope (graph is vertical line)

10).

Answer:

The distance between given points is: √20

Step-by-step explanation:

The given numbers are complex numbers. In order to find the distance between two numbers in complex plain, their difference is taken and then modulus is applied.

Given numbers are:

[tex]z_1 = 2-3i\\z_2 =4+i[/tex]

The difference will be calculated as:

[tex]z_2-z_1 = (4+i)-(2-3i)\\= 4+i-2+3i\\=2+4i[/tex]

The distance will be:

[tex]d = \sqrt{(2)^2+(4)^2}\\= \sqrt{4+16}\\=\sqrt{20}[/tex]

Hence,

The distance between given points is: √20

Answer:

We have a system of equations with no solutions.

One of the equations is:

x + y = 5.

Isolating y in one side of the equation, we get:

y = 5 - x

And the other equation has an y-intercept of -2, the equation can be written as:

y = a*x - 2.

Then the system will be:

y = -1*x + 5

y = a*x - 2

The solution of a system of equations is a point where the graphs of both functions intersect.

Then if both of these lines are parallel, the lines will never intersect, then the second equation must be parallel to the first one.

And two lines are parallel if they have the same slope.

Then the other equation will be:

y = -x - 2

Answer:

0.85 of the original piece of lumber remains.

Step-by-step explanation:

Well, this lumber piece of lumber started as 2.5 meters long. Then, a 1.65 meter piece was cut off of it. All we need to do is subtract.

2.5 - 1.65 =

2.50 - 1.65 = 0.85.

Therefore, 0.85 of the original piece of lumber remains.

Hope this helps! :)

Answer:

22

Step-by-step explanation:

Are those the only options because 819 divided by 100 is 8.19

Answer: m<C= 31

Step-by-step explanation:

To find m<C: Since the triangles are equal, we know that (4x+10) is equal to 90. Then when you put them equal to each other and solve for x you get X=20. Then all you have to do is plug that x value (20) into the equation for the angle of C (x+11). Then you get that C=31 degrees.

Answer:

y=-2.5x+8

Step-by-step explanation:

Subtract 5x from both sides

2y=-5x+16

divide both sides by two

y=-2.5x+8

Answer:

25

Step-by-step explanation:

you can write this equation as 20 ÷ [tex]\frac{4}{5}[/tex]

so change the division sign to multiplication by flipping the divisor ( [tex]\frac{4}{5}[/tex] )

this means you now have 20 x [tex]\frac{5}{4}[/tex]

so you can simplify 20 and 4, this makes the 4 into a 1 and the 20 into a 5

you now have 5 x [tex]\frac{5}{1}[/tex]

this is the same thing as 5 x 5

multiply it, and you can see that the answer is 25