Evaluate a + b for a = 2 and b = 3.

The number of jumbo cans of frosting would she need to frost 280 cupcakes is 8.

Given that, Bette used 3 jumbo cans of frosting to frost 105 cupcakes and 5 jumbo cans of frosting to frost an additional 175 cupcakes.

Proportion is a mathematical comparison between two numbers.  According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.

Let number of jumbo cans of frosting would she need to frost 280 cupcakes be x.

Now the proportion is

3/105 = 5/175 = x/280

⇒ 5/175 = x/280

⇒ 175x = 280 × 5

⇒ x = 1400/175

⇒ x = 8

Therefore, the number of jumbo cans of frosting would she need to frost 280 cupcakes is 8.

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Answer:

Step-by-step explanation:

3 cups for 15 packets would be 5 packets for each cup. So 1 cup is 5 packets of trail mix. Which means 5×90= 45

The answer is 45.

If the mean is 7171 grams, the standard deviation is 18 grams and 12 fruits are selected at random. Then, the mean weight will be 734.901 grams greater.

Let X be the random variable of the fruit's weight.

We have, the mean and standard deviation as 717 grams and 18 grams respectively.

We want to find the specific gram value for which 16% of the fruits are heavier, i.e. the 84th percentile of X's normal distribution

Now, Solving for x:

P( X < x ) = Normal( 717, 18 ), Z = 0.84

So,

P( [X - 717] / 18 < [x - 717] / 18 ) = P( Z < [x - 717]/18 ) = 0.84, where Z is a standard normal random variable

Now,

Standard Normal CDF( [x - 717]/18 ) = 0.84

Then, from the standard normal table: [x - 717]/18 = Inverse Standard Normal CDF( 0.84 ) = 0.9945

Therefore,

[ x - 717 ] / 18 = 0.9945

Multiplying 18 on each side of the equation,

x - 717 = 0.9945 × 18

x - 717 = 17.901

Adding 717 on each side of the equation,

x - 717 + 717 = 17.901 + 717

x = 734.901

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10 miles per hour is the average journey speed.

Given that,

Some pupils choose to ride bikes. They move at a 15 mph average speed for the first two hours, and then they stop for lunch for an hour. The pupils ride at a 10 mph speed for an additional hour.

Average speed is ( total distance ) / ( total time )

During the 1st 2 hrs:

distance = speed * time

distance = 15 *2 = 30 miles

During the last hour:

distance = speed * time

distance = 10 *1 = 10 miles

Average speed = 30+10 / 2+1+1 = 40/4 = 10 mil/hr

Therefore, their average speed for the trip is 10 mil/hr

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64 fluid ounces contain 1920 milliliters.

Oz to Half Gallon Conversions

A half gallon is equal to 64 ounces in a gallon measurement.

A milliliter is equal to how many ounces. The conversion factor from fluid ounces to milliliter is 1 fluid ounce = 30 milliliter.

This equates to eight 8-ounce glasses or 2,000 ml (approximately 64 ounces) for a person who consumes 2,000 calories per day.

Given: She regularly drinks 64 fluid ounces of water.

       1 fluid = 30 milliliters

       => 30 × 64 = 1920 milliliters

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Likert scales are designed to be ordinal in measurement.

What is Likert scale and why is it used ?

The Likert scale is a psychometric scale that is used in survey questions that are based on it. It is one of the most popular sorts of survey questions. Respondents in a Likert scale survey are given precise options based on whether they "agree" or "disagree" with a particular survey question rather than just selecting "yes" or "no."

Likert scale survey questions are crucial for gauging a respondent's attitude or view toward a certain topic and are therefore a vital component of market research. Likert scales are commonly used to gauge respondents' levels of agreement with diverse claims using a five-, seven-, or nine-point scale. The Likert Scale was created by organizational psychologist Rensis Likert to evaluate the degree of agreement or disagreement on a symmetric agree-disagree scale. In general, a series of statements is used, each intended to look at a construct from a little different angle. The effectiveness of this method lies in the fact that it can be applied to both social science and marketing constructs.

Therefore, likert scales are designed to be ordinal in measurement.

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Answer:

Step-by-step explanation:

You want the repeating decimal cost ...

  [tex]\$3.\overline{23}[/tex]

written as a fraction and as a mixed number.

One can convert the repeating decimal to a fraction by multiplying it by a power of 10 equal to the number of repeating digits.

This cost number (C) has 2 repeating digits (23), so we want to multiply it by 10^2:

  [tex]100C=10^2\times3.23\overline{23}=323.\overline{23}[/tex]

Now, we can subtract the original cost to cancel the repeating decimal fraction:

  [tex]100C -C = 323.\overline{23}-3.\overline{23}=320[/tex]

Dividing by the coefficient of C, we have the fraction we want:

  [tex]C=\boxed{\dfrac{320}{99}}[/tex]

This is expressed as a mixed number by figuring the quotient and remainder.

  [tex]\dfrac{320}{99}=\boxed{3\dfrac{23}{99}}[/tex]

we know that

The parent function is

The transformation is to shift 1 unit to the left

so

The rule of this translation is given by

(x,y) -----> (x-1,y)

so

the equation for the transformed function is

what in your opinion is the moral in the story ?

The probability of the outermost ring is 55.6%

Answer:

40

Step-by-step explanation:

Go through PEMDAS

Exponents: 4∧0 = 1 and 1³ = 1

Multiply: 4 × 5 = 20 × 2 = 40

Add: 1 + 40 = 41

Subtract: 41 - 1 = 40

Answer:

Tony will spend 15$.

Step-by-step explanation:

2.50 * 6= 15($)

Answer:

Total cost: C(x) = 90,000 + 200x in dollars

C(100) = $110,000

This means that the total cost for the company when it produces 100 bikes would be $110,000

Step-by-step explanation:

First, you have a fixed cost, so you would start by setting C(x) to that:

C(x) = 90,000

Then, you have a cost of $200 PER bike that is made. The amount of bikes is represented by x. So you will have to multiply cost per bike by how many bikes are manufactured:

200x

Add this variable cost to the function underlined above.

C(x) = 90,000 + 200x

This is your function C(x).

Now for C(100), PLUG IN 100 for x:

C(100) = 90,000 + 200(100)

Multiply out:

C(100) = 90,000 + 20000

Then add these together to get the value:

C(100) = 110,000

This is the amount of money it would cost to make 110000 bikes, as interpreted above.

Answer:

answer is A

as the graph cuts the x axis at 4 which is shown by (x-4). and cut by -2 and -4 which is shown by (x+2) and (x+4).

The equation of the line perpendicular to y=5/6x+7/6 that passes through the point (-7,5) is y = (-6/5)x -17/5 .

In the question ,

it is given that the required line is perpendicular to  y=5/6x+7/6 .

on comparing it with the slope intercept form of the line , we get

slope(m₁)= 5/6

So, the slope of the perpendicular(m₂)  line will be

m₂= -1/m₁

m₂= -6/5

hence,  slope(m₂) of the perpendicular line = -6/5

Given that the perpendicular line is  passing through (-7,5)

substituting the values in slope intercept form (y=mx+c) of the line , we get

5 = (-6/5)(-7) + c

5 = 42/5 + c

c = 5-42/5

= (25-42)/5

= -17/5

y intercept = -17/5

so , the equation of the perpendicular line is y = (-6/5)x -17/5   .

Therefore , the equation of the line perpendicular to y=5/6x+7/6 that passes through the point (-7,5) is y = (-6/5)x -17/5 .

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Answer: x= -18

Step-by-step explanation:

Your equation would be (x/9)+6=4

Subtract 6 by both sides.

Multiply 9 by both sides.

Then you should get -18.

Answer:

bbbbbbbbbbbbbbbb

kjajs

Answer: gurl you think i know

Step-by-step explanation:

Answer: undefined

Step-by-step explanation:

3 < x < 44

=============================================================

Explanation:

For triangles ABC and DEF we have these two pairs of congruent sides

In between sides AB and BC is angle ABC = 82

In between sides DE and EF is angle DEF = 2x-6

Since AC > DF, this must mean angle ABC is larger than angle DEF. This is because the longer a side is, the larger the opposite angle will be.

Therefore, this leads to angle ABC > angle DEF

--------------------------------------------------

This is what the steps will look like

angle ABC > angle DEF

angle DEF < ABC

0 < angle DEF < angle ABC

0 < 2x-6 < 82

0+6 < 2x-6+6 < 82+6

6 < 2x < 88

6/2 < 2x/2 < 88/2

3 < x < 44

x is between 3 and 44, excluding both endpoints.

Step-by-step explanation:

With the equation

y

=

|

−

x

+

3

|

−

4

, we know that the term inside the absolute value mark will never be less than zero, which means the smallest

y

can be is

y

=

−

4

. This value is achieved with

|

−

x

+

3

|

=

0

, putting

x

=

3

. So that is our first point,

(

3

,

−

4

)

.

We're dealing with

x

terms (versus

x

2

or

√

x

or any other form of

x

), so the graph coming off

(

3

,

−

4

)

will be lines. Since there the coefficient of the

x

term is 1, the slope of those lines will be 1 and

−

1

(with the x term inside the absolute value, we look at both

±

1

).

The standard graph for an absolute value graph is for it to be in the shape of a V. And so we can expect our graph to have points

(

4

,

−

3

)

and

(

2

,

−

3

)

- and we can plug in those values to prove it:

y

=

|

−

x

+

3

|

−

4

−

3

=

|

−

4

+

3

|

−

4

−

3

=

|

−

1

|

−

4

−

3

=

1

−

4

−

3

=

−

3

and

−

3

=

|

−

2

+

3

|

−

4

−

3

=

|

1

|

−

4

−

3

=

1

−

4

−

3

=

−

3

The graph itself will look like this:

graph{abs(-x+3)-4 [-10, 10, -5, 5]}

Considering the relative frequencies in this problem, the association between scoring 21 points and winning the game is as follows:

There is a strong, positive association.

The relative frequency of an event in an experiment is calculated as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

From the table given at the end of the answer, we have that when the team scored at least 21 points, an interval composed of 28 games, the team won 25 games and lost only 3, hence the relative frequency of wins when the team scores at least 21 points is of:

25/28 = 0.8929 = 89.29%.

Due to this high frequency of wins, there is a strong and positive association between scoring 21 points and winning the game

The table with the team's results is given by the image at the end of the answer.

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Answer:

10% of 25 is 5/2 or 2½ as a fraction and 2.5 as a decimal. Let's find 10% of 25.

Step-by-step explanation:

Answer:

  128

Step-by-step explanation:

You want the total number of bedrooms in a mix of 1-, 2-, and 3-bedroom apartments.

The total number will be the sum of the products ...

  1 × number of 1-bedroom apartments = 1 × 32 = 32

  2 × number of 2-bedroom apartments = 2 × 24 = 48

  3 × number of 3-bedroom apartments = 3 × 16 = 48

That total is ...

  32 +48 +48 = 128

There are 128 bedrooms in the apartment building.

Answer:

No solution.

Step-by-step explanation:

3(x+1)+4=2x-2+x

-> distribute

3x+3+4=2x-2+x

-> simplify (add constants & x terms)

3x+7=3x-2

-> variable cancels out

7=-2

-> this is not true

Untrue statement; no solution.

Put empty parenthesis/brackets: [,] / (,) or simply put "no solution."

Answer: 5.4

Step-by-step explanation:

[tex]29.16 < 30 < 30.25 \implies 5.4 < \sqrt{30} < 5.5[/tex]