The concession stand at the local high school sells pretzels and lemonade. The total cost of two pretzels and a lemonade is $5.75. The total cost of two lemonades is $0.25 more than the cost of a pretzel. What is the cost of a pretzel?

Answer:

S = 1256

Step-by-step explanation:

S = 4[tex]\pi[/tex][tex]r^2[/tex]

S = 4[tex]\pi[/tex][tex](10)^2[/tex]

S = 4[tex]\pi[/tex][tex](100)[/tex]

S = [tex]4(314)[/tex]

S = 1256

Answer:

400pi, or 1256.637...

Step-by-step explanation:

S = 4pir^2

S = 4pi(10^2)

S = 4pi(100)

S = 400pi

Answer:

25

Step-by-step explanation:

The graph is going up by 25 each block or point of the way, if im wrong, im sory

Answer:

12

Step-by-step explanation:

[tex]\sqrt{64}[/tex] + [tex]\sqrt[3]{64}[/tex]

= 8 + 4

= 12

Square root of 64 = [tex] \sf \sqrt{64} = \sqrt{8 \times 8} = \boxed{\bf 8}[/tex]

Cube root of 64 = [tex] \sf \sqrt[3]{64} = \sqrt[3]{4 \times 4 \times 4} = \boxed{ \bf4}[/tex]

So,

Square root of 64 + Cube root of 64

[tex] = \sf \sqrt{64} + \sqrt[3]{64} \\ \sf = 8 + 4 \\ = \boxed{ \bf12}[/tex]

12 is the answer of the question asked.

____________

Hope it helps.

RainbowSalt2222

Answer:

3/4 cup of milk.

Step-by-step explanation:

1 1/2= 6/4. 6÷2=3.

Answer:

3/4

Step-by-step explanation:

Half the recipe means multiply by 1/2

1 1/2 * 1/2

Change the mixed number to an improper fraction

(2*1+1)/2 * 1/2

3/2 * 1/2

3/4

Answer:

[tex]x = 12[/tex]

Step-by-step explanation:

[tex]4 + 2x = 4x - 20[/tex]

[tex]4 + 20 = 4x - 2x[/tex]

[tex]24 = 2x[/tex]

[tex]x = 12[/tex]

Answer:

should be 15.

Step-by-step explanation:

Explanation

a sanwich which is most commonly a square, has the side lengths of 5 and 5.

cuting this in half will give you a 45-45-90 triangle

the legs will be measure of x, and the hypotonuse will be x[tex]\sqrt{2}[/tex]

so the hypotonuse is  5[tex]\sqrt{2}[/tex]

The diagonal length of the sandwich after it is cut in half is approximately 6.106 inches.

Using the Pythagorean theorem, we can calculate the diagonal length as follows:

diagonal² = length² + height²

diagonal² = (5 inches)² + (3.5 inches)²

diagonal² = 37.25 inches²

Taking the square root of both sides, we find:

diagonal = √37.25 inches

Calculating the square root of 37.25, we get:

diagonal ≈ 6.106 inches

Therefore, the diagonal length of the sandwich after it is cut in half is approximately 6.106 inches.

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Answer:

[tex]U = x[/tex]

[tex]V=10[/tex]

Step-by-step explanation:

Given

[tex](x +3)^2 + 14(x + 3) + 49 = (U + V)^2[/tex]

Required

Find U and V

We have:

[tex](x +3)^2 + 14(x + 3) + 49 = (U + V)^2[/tex]

Expand

[tex]x^2 + 6x + 9 + 14x + 42 + 49 = (U + V)^2[/tex]

Collect like terms

[tex]x^2 + 6x + 14x + 9 + 42 + 49 = (U + V)^2[/tex]

[tex]x^2 + 20x + 100 = (U + V)^2[/tex]

Expand

[tex]x^2 + 10x + 10x + 100 = (U + V)^2[/tex]

Group

[tex][x^2 + 10x] + [10x + 100] = (U + V)^2[/tex]

Factorize each group

[tex]x[x + 10] + 10[x + 10] = (U + V)^2[/tex]

Factor out x + 10

[tex][x + 10][x + 10] = (U + V)^2[/tex]

So, we have:

[tex][x + 10]^2 = (U + V)^2[/tex]

By comparison

[tex]U = x[/tex]

[tex]V=10[/tex]

Answer:

1.2 = 12/10 = 6/5

2.25 = 225/100 = 9/4

3.5 = 35/10 = 7/2

4.06 = 406/100 = 203/50

Answer:

7

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

these angles are horizonal

Step-by-step explanation:

Hi there!

Given;

(x-9)² = 81........(i)

Take whole square right side;

(x-9) = ±√(81)

(x-9) = ±9

Therefore, the answer is option A.

Hope it helps!

Answer:

x = 20

y = 70

Step-by-step explanation:

Since B and D are parallel :

6x - 10 + 3x + 10 = 180 add/subtract like terms

9x = 180 divide both sides by 9

x = 20

angle represented by y and 6x - 10 are supplementary and their sum is 180

y + 6x - 10 = 180 replace x with 20

y + 6*20 - 10 = 180

y + 120 - 10 = 180

y + 110 = 180 subtract 110 from both sides

y = 70

Answer:

29.5 square inches

Step-by-step explanation:

Let's divide the shape into 3 parts to make it easy for us to find the area.

- a wide triangle

- a triangle

- a shorter rectangle

For the wider rectangle, the area is;

A1 = 8 × 2 = 16 in²

For the triangle, the area is;

A2 = ½(7 - 2) × 3

A2 = 7.5 in²

For the shorter rectangle, the area is;

A3 = 3 × 2

A3 = 6 in²

Total area = A1 + A2 + A3 = 16 + 7.5 + 6 = 29.5 square inches

Answer:

Step-by-step explanation:

The last two digits have to be divisible by 4

The entire number's digits have to add to a multiple of 9. So I will start with 99964

64 does not add up to a multiple of 9. so that's not the answer. 64 is divisible by 4 but not 9

Move on 99968 which has the same problem.

99972 works!!!!

Answer:

1 : 400

Step-by-step explanation:

[tex]\frac{3.5 x 10^{3} }{3.5 x 10^{3} } : \frac{1.4 x 10^{6 } }{3.5 x 10^{3} }[/tex]

1 : .4 x [tex]10^{3}[/tex]

1 : 4 x [tex]10^{2}[/tex]

1 : 400

Answer:

4x+2

Step-by-step explanation:

(5x+4)-(x+2)=(5-1)*x+(4-2)=4x+2

Answer:

Mary Kate will need 3 6/8 yd of fabric.

Step-by-step explanation:

If Mary wants to make one skirt for herself AND her twin, that is equal to 2 skirts.

So if one skirt calls for 1 7/8 yd of fabric, multiply it by 2:

1 7/8 x 2

Convert 1 7/8 to an improper fraction and add 1 as a denominator for 2:

15/8 x 2/1 = 30/8

30/8 simplified is 3 6/8

Brainliest please?

x ³ = 1

x ³ - 1 = 0

x ³ - 1³ = 0

Factorize the right side as a difference of cubes:

(x - 1) (x ² + x + 1) = 0

Then

x - 1 = 0   or   x ² + x + 1 = 0

The first equation yields x = 1 as a root.

For the other equation, rearrange and complete the square to get the other two roots,

x ² + x + 1/4 = -3/4

(x + 1/2)² = -3/4

x + 1/2 = ±√(-3/4) = ± i √3/2

x = -1/2 ± i √3/2

x = (-1 ± i √3)/2

Since complex roots occurs in conjugate pairs, taking the sum of these two roots eliminates the imaginary part:

(-1 + i √3)/2 + (-1 - i √3)/2 = (-1 - 1)/2 = -2/2 = -1

and adding to 1 indeed shows that the sum of roots is zero.

Answer:

First, find the function of the line:

Therefore, the function is [tex]y=\frac{3}{4} x[/tex].

Since it's the area under the graph that's shaded(not ≥ or >) and the graphed line is dotted(not ≤ or ≥), then the inequality would be [tex]y<\frac{3}{4} x[/tex].

Answer:

16

Step-by-step explanation:

[tex] \tan(x) = \frac{13}{46} [/tex]

[tex] \tan {}^{ - 1} ( \frac{13}{46} ) = 16[/tex]

An example of an exponential function is given as follows:

A. Investing $1,000 at an annual interest rate of 3%, compounded monthly.

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

As we saw above, the rate of change is a percent, and in this problem, only option A has a rate of change as a percent, hence it is an exponential function.

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Answer:

x=21

Step-by-step explanation:

2x - 7 = 35

    +7    +7

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

2x = 42

-----   -----

 2      2

  x = 21

The answer is 21, hope this helps.

Answer:

x = 21

Step-by-step explanation:

2x - 7 = 35

We need to isolate x. First, we add 7 to both sides.

2x - 7 + 7 = 35 + 7

2x = 42

Now we divide both sides by 2.

2x/2 = 42/2

x = 21

Answer: x = 21

Answer:

6 minutes

Step-by-step explanation:

The equation for time together is

1/a+1/b = 1/c  where a and b are the times alone and c is the time together

1/10 + 1/15 = 1/c

Multiply by the  least common denominator to clear the fraction

30c(1/10 + 1/15 = 1/c)

3c+ 2c = 30

5c = 30

Divide by 5

5c/5 = 30/5

c = 6

Answer:

6 minutes

Step-by-step explanation:

Person A does 1 job in 10 minutes.

In 1 minute, person A does 1/10 of the job.

Person B does the same job in 15 minutes.

In 1 minute, person B does 1/15 of the job.

Working together, in 1 minute the do

1/10 + 1/15 of the job.

Working together, they take t minutes to do the job.

In 1 minute, they do 1/t of the job.

1/10 + 1/15 = 1/t

3/30 + 2/30 = 1/t

5/30 = 1/t

1/6 = 1/t

t = 6

Answer:

3.33%

Step-by-step explanation:

Intrest = P. A. *Intrest Rate * Time

(1/3)*P. A. = P. A. *Intrest Rate * 10

Intrest Rate = 1/30)=3.33%

Answer:

1. mean-The mean is the average value of the data you collect. In statistics, you find the mean of your sample. Then you use that mean to approximate the mean of the entire population. If you want the mean of the data to be a good approximation of the mean of the entire population, your need to make sure that you collect a random sample. To find the mean, you find the sum of the data points you collected and divide it by the number of data points in the set. For example, if the data you collected was {3, 3, 6}. Then the mean would be (3 + 3 + 6) ÷ 3 = 12 ÷ 3 = 4. It's important to note that the mean does not have to be a data point in your set. You can generalize the formula as well. If you collect n data points {d1, d2, d3, … dn}, then the mean of your data set is . The Greek letter μ—pronounced "mu"—is used because the word "mean" begins with the letter "m." It is important that you divide by the number of data points in your set, n.

2. Population-A population is the entire group you want to understand. So, in a certain sense, you can think of the population as the "opposite" of the sample because a sample is not the entire population. A sample is chosen subset upon that you use to draw conclusions about the entire population.

3. Experiment-An experiment is a well-defined procedure under controlled conditions designed to gather data that tests a hypothesis. For example, you want to test the hypothesis that flowers grow faster when they are watered every other day as opposed to every day. Then you could water one set of plants every day and another set of plants every other day. What data would you collect? The height of each plant once a day. What conditions would you need to control? You would need to make sure that the groups of plants are treated the same in every other way by getting the same amount of sun and being maintained at the same temperature, etc.

4. Sample-A sample is a subset chosen from a population. In most cases, you want a random sample. Why? A random sample has the best chance of accurately representing the entire population.

5. Bais-Bias is the preference for a particular group or subset. In the example above, the bias was toward viewers who like sports. When your sample is not chosen at random, you introduce bias into your study. So, in a certain sense, a biased sample is the opposite of a random sample. Why? In a biased sample, some members of the population are more likely to be chosen than others. In a random sample, every member of the population is equally likely to be chosen. Bias may also occur in surveys. See "survey" below for more information on this type of bias.

6. Survey-A survey is the means of collecting a sample. In statistics, a survey is often a question or set of questions. It is critical that the questions, like the sample itself, be free from bias. Bias in a question tends to favor one response. As an extreme example of a biased question about colors might be, "Don't you think blue is beautiful and yellow is yucky?" An unbiased form of the question might be, "Which color do you prefer, blue or yellow?" Though careful, statisticians might be concerned about the order in which the colors are offered, so that might further simplify the question to, "What is your favorite color?" This type of question is most free from bias because it does not suggest a response and therefore does not favor a response.

7. Random-Random means free from bias. So, if you choose a random sample from a population, every member of the population has an equal chance of being chosen. It should be pointed out that this "true randomness" is an ideal which is difficult to achieve in real world experiments conducted on real world populations. That is why statisticians make every effort to ensure their samples chosen as free from bias as is possible, that is, as randomly as possible under real world conditions.

Step-by-step explanation:

It says what each of them are in each paragraph, you just need to match them up.

Hope this helps :)

Answer:

Step-by-step explanation:

Answer:

The formula for iqr is q3 - q1

24

Step-by-step explanation:

The box plot is a visual way of presenting a dataset where the rectangle is used to represent the quartiles.

The given parameters are:

Male:                                                               Female

[tex]Minimum = 0[/tex]                                                 [tex]Minimum = 0[/tex]

[tex]Q_1 = 1[/tex]                                                              [tex]Q_1 = 5[/tex]

[tex]Median = 20[/tex]                                                    [tex]Median = 6[/tex]

[tex]Q_3 = 25[/tex]                                                            [tex]Q_3 = 10[/tex]

[tex]Maximum = 50[/tex]                                               [tex]Maximum = 18[/tex]

A. IQR  for male dataset

The IQR is calculated as follows:

[tex]IQR = Q_3 - Q_1[/tex]

For the male's data:

[tex]IQR = 25-1[/tex]

[tex]IQR = 24[/tex]

Hence, the IQR of the male dataset is 24.

B. Difference in median values

We have:

[tex]Median = 20[/tex]  ----- Male dataset                                                    

[tex]Median = 6[/tex] ----- Female dataset

So, the difference (d) is:

[tex]d = 20 - 6[/tex]

[tex]d = 14[/tex]

Hence, the difference in median of both dataset is 14.

C. Best measure of center

The female box plot (see attachment) has an outlier. This means that the measure of center to use for the female dataset is the median.

The male box plot has no outlier; this means that the mean can be used as a measure of center for the male box plot

D. Reason for outlier

There are several reasons that could cause an outlier in a dataset. One of the reasons is human error during data entry

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