If 2/3 of a mini pizza cost $2. 40, what would 1/2 of a mini pizza cost?

Answer:

The answer is (2, 5)

Step-by-step explanation:

The solution of the two functions is their point of intersection. Looking at the graph provided, the two functions intersects at the point (2, 5).

Answer:

(2,5)

Step-by-step explanation:

Hey,

Where the two lines intersect is your solution. You can see that at (2,5) both lines meet and therefore it's a solution.

Hope this helps :)

Answer:

Step-by-step explanation:

Ten more than x x + 10

A number added to 5 5 + x

A number increased by 13 x + 13

5 less than 10 10 - 5

A number decreased by 7 x - 7

Difference between x and 3 x - 3

Difference between 3 and x 3 - x

Twice a number 2x

Ten percent of x 0.10x

Ten times x 10x

Quotient of x and 3 x/3

Quotient of 3 and x 3/x

Five is three more than a

number

5 = x + 3

The product of 2 times a

number is 10

2x = 10

One half a number is 10 x/2 = 10

Five times the sum of x and 2 5(x + 2)

Seven is greater than x 7 > x

Five times the difference of a

number and 4

5(x - 4)

Ten subtracted from 10 times a

number is

that number plus 5

10x - 10 = x

+ 5

The sum of 5x and 10 is equal

to the product of x and 15

5x + 10 =

15x

The sum of two consecutive

integers

(x) + (x + 1)

The sum of two consecutive

even integers

(x) + (x + 2)

The sum of two consecutive odd

integers

(x) + (x + 2)

Answer:

x=64

Step-by-step explanation:

5+(1/8)x=13

Subtract 5 to both sides to get (1/8)x=8

Multiply by the reciprocal of 1/8 (8) on both sides. The 1/8 and 8 cancel and the answer should be x=64

The limit of the expression as x approaches -12 for x→−12 (√ (x^2 + 25) − 13) / (x + 12) exists and equals -4/5.

To evaluate the limit lim x→−12 (√(x^2+25)−13)/(x+12), we can try to directly substitute x=-12 into the expression. However, this results in an indeterminate form of 0/0, indicating that further algebraic manipulation is necessary.

One approach to evaluate this limit is to use algebraic manipulation to simplify the expression into a form that allows for direct substitution. To do this, we can multiply both the numerator and denominator by the conjugate of the numerator, which is √(x^2+25)+13. This results in the expression lim x→−12 (x^2 - 144) / (x+12)(√(x^2+25)+13).

We can then simplify the expression by factoring the numerator as (x-12)(x+12), canceling the (x+12) term in the numerator and denominator, and taking the limit as x approaches -12. This yields lim x→−12 (x-12)/(√(x^2+25)+13).

Substituting x=-12 into the simplified expression yields (-12-12)/(√(144+25)+13) = -24/30 = -4/5.

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Answer:

  yes

Step-by-step explanation:

The 0830 train from Aberystwyth to Shrewsbury arrives at 1017. 4 hours later is 1017 +400 = 1417. Judy would have 2 minutes to catch the 1419 train to Birmingham.

Answer:

9 cars/week

Step-by-step explanation:

(10+9+11+6)/4=36/4=9

Answer:

4

Step-by-step explanation:

4 (First piece)

4*2=8(Second piece)

4*4=16

16+8+4=28

The ratio of the number of unshaded to shaded squares is 7 : 3.

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

It is also defined as the fraction of one quantity with respect to other.

The ratio of a and b is denoted as a : b.

Given is a grid of squares which is given below.

Total number of squares = 10

Of that,

Number of shaded squares = 3

Number of unshaded squares = 7

We have to find the ratio of unshaded to shaded squares in the grid which is 7 / 3 or 7 : 3.

Ratio of unshaded squares to shaded squares = 7 : 3

Hence 7 : 3 is the ratio of unshaded to shaded.

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Answer:

k=3/4

Step-by-step explanation:

So parallel lines have equal slopes but different y-intercepts

First line is y=4x+3 (divide by 2 and simplify) and second line is \(y=\frac{3x+10}{k}\)

We only care about slope, so

First slope is 4 and the second slope is (3/k), so

4=3/k, find k using cross multiplication

4k=3, so k=3/4

The value of C to the nearest tenth, is 70.5.

A planar triangle's side's square is equal to the sum of the squares of the other sides minus the product of those sides and the cosine of the angle between them, divided by two.

We have the triangle ABC.

Where c = 22ft, a = 18ft and b = 20ft

Law of Cosines:

c² = a² + b² - 2ab cosC

Substituting the value of a, b and c to the above equation.

22² = 18² + 20² - 2(18)(20) x cosC

484 = 724 - 720 x cosC

Rearranging

-240 = -720 x cosC

Divide both sides by

-7200.3333333333 = cosC

To find the value of C:

C = Arc cos 0.3333333333

Now the value of arc cos from the trigonometric table,

C = 70.52877936753502

Therefore, the C = 70.5 rounded to the nearest tenth.

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Answer:

80000000000000x200000004500 =

1.6e+25 which is essentially 1.6 with 25 0's after it

Step-by-step explanation:

May I have brainliest please? I'm trying to get 15 and I'm so close :)

Kevin linear function is y = 3x + 1 while Jill function is y = 3x - 1

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change (slope) and b is the y intercept.

Using the points (0, 1) and (2, 7), hence for Kevin:

y - 1 = [(7 - 1)/(2 - 0)](x - 0)

y = 3x + 1

Jill’s function has a y-intercept that is 2 less than the y-intercept, hence b = 1 - 2 = -1

Jill function is:

y = 3x - 1

Kevin linear function is y = 3x + 1 while Jill function is y = 3x - 1

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Answer: $276.25

Step-by-step explanation:

250 times .07 = 17.5

17.5 times 1.5 = 26.25

250 + 26.25 = 276.25

Answer:

2 \(\frac{1}{2}\)pizzas

Step-by-step explanation:

The equation to this question can be written as 5/6 + 5/6 + 5/6 or 5/6 x 3.

To multiply 5/6 by 3, we can set it up as \(\frac{5}{6} * \frac{3}{1}\). Now to multiple, we just multiply straight across. We do 5 * 3 over 6 * 1 to get 15/6. Now, all we have to do is simplify the fraction. 6 goes into 15 two times, so we know they ate 2 pizzas. Now we are left with 3/6. 3/6 can be rewritten as \(\frac{1}{2}\). In total, they ate 2 \(\frac{1}{2}\) pizzas.

Hope this helps!

To determine which group has a larger standard deviation between Group A and Group B, we will need to consider the spread of the data within each histogram.

Standard deviation is a measure of how the data points are dispersed from the mean (average) value. A larger standard deviation indicates a greater degree of variability in the data points.

Without the specific data values, we can't compute the standard deviations for each group. However, we can provide a general guideline for comparing the histograms:

1. Observe the distribution of the data in the histograms for both groups.
2. If the data in Group A's histogram is more spread out across the range of 1 to 6 compared to Group B's histogram, then Group A is likely to have a larger standard deviation.
3. Conversely, if the data in Group B's histogram is more spread out across the range of 1 to 6 compared to Group A's histogram, then Group B is likely to have a larger standard deviation.

By following these steps and examining the histograms, you should be able to determine which group has a larger standard deviation based on the spread of their data.

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a + 5 is parallel to 15, meaning that

a + 5 = 15

a = 15 - 5

a = 10

3b° has the same value of 111°, so

3b = 111

b = 111 ÷ 3

b = 37

a = 10 , b = 37

Answer:

i think its quadratic

Step-by-step explanation:

The compensating variation is $13.52.

The compensating variation is the amount of money that Greg would need to be compensated for a price increase in order to maintain his original level of utility. In this case, Greg's utility function is u = x^0.38x^0.962. His income is $83.00, and he faces these prices: (P1, P2) = (4.00, 1.00). If the price of x increases by $1.00, then the new prices are (P1, P2) = (5.00, 1.00).

To calculate the compensating variation, we can use the following formula:

CV = u(x1, x2) - u(x1', x2')

where u(x1, x2) is Greg's original level of utility, u(x1', x2') is Greg's new level of utility after the price increase, and CV is the compensating variation.

We can find u(x1, x2) using the following steps:

Set x1 = 83 / 4 = 20.75.

Set x2 = 83 - 20.75 = 62.25.

Substitute x1 and x2 into the utility function to get u(x1, x2) = 22.13.

We can find u(x1', x2') using the following steps:

Set x1' = 83 / 5 = 16.60.

Set x2' = 83 - 16.60 = 66.40.

Substitute x1' and x2' into the utility function to get u(x1', x2') = 21.62.

Therefore, the compensating variation is CV = 22.13 - 21.62 = $1.51.

To two decimal places, the compensating variation is $13.52.

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One way to simplify variables with many levels (or decimal places) when creating a frequency distribution is to organize the data into class intervals (option B).

By grouping the data into intervals, the frequency distribution becomes more manageable and easier to interpret. This process involves dividing the range of values into distinct intervals or categories and then counting the number of observations falling within each interval. Class intervals provide a summary of the data by grouping similar values together, reducing the complexity of individual levels or decimal places.

This simplification technique is particularly useful when dealing with large datasets or continuous variables that have numerous levels or decimal values, allowing for a clearer representation and analysis of the data.

Option B holds true.

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Answer:

\( \displaystyle \large{x(7 {x}^{2} + 4)}\)

Step-by-step explanation:

We are given the cubic expression:

\( \displaystyle \large{7 {x}^{3} + 4x}\)

In the expression, there exists same x-term but not like term.

Factor using LCF (Least Common Factor which is x)

\( \displaystyle \large{x(7 {x}^{2} + 4)}\)

From 7x^2+4, the expression is not factorable and thus:-

\( \displaystyle \large{x(7 {x}^{2} + 4)}\)

is the simplified form.

No. of ways of selecting the 5 member committee by combination= 1981

What are the number of ways of selecting the 5 member committee ?

No. of women faculty in the mathematics department = 7

No. of men faculty in the mathematics department = 7

Total number of faculty members = 14

Condition - at least one woman must be on the committee

No. of ways of selection = C (14, 5) - C (7, 5)

We know that combination C(n , r) = \(\frac{n!}{(n-r)!r!}\)

Consider the total combination C (14, 5),

\(C (14, 5)=\frac{14!}{9!5!} \\\\=\frac{14 *13* 12 *11 *10 *9!}{9!* 5!} \\\\=\frac{14 *13* 12 *11 *10}{120} \\\\= \frac{240240}{120} \\\\= 2002\)              

Consider the combination of men C (7, 5) ,

\(C (7, 5)=\frac{7!}{2!5!} \\\\=\frac{7*6*5!}{2!* 5!} \\\\=\frac{7*6}{2} \\\\= 7*3\\\\=21\)

No. of ways of selection = C (14, 5) - C (7, 5)

                                        = 2002 - 21

                                        =1981

No. of ways of selecting the 5 member committee of the department with least one woman by combination= 1981

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YES

Base=b

Height= h

Area 1=A1=1/2*b*h

Base=b

Height= 4h

Area of triangle 2=A2=1/2*b*4h

A2/A1= (1/2*b*4h)/(1/2*b*h)

= (1/2*b*4h)/(1/2*b*h)

=4/1

Ratio of heights =h2/h1= 4/1

Ratio of areas =A2/A1= 4/1

They are proportional.

Answer:

900

Step-by-step explanation:

because 14132.77/14.5%

The accurate option is a) The values of x for which f(x) is not defined are x = 2 and x = 4.

To determine the values of x for which f(x) is not defined, we need to identify any restrictions or conditions that would make the function undefined. In this case, we have the function f(x) = 1 - e^(4-x^2)/(4 - e^x^2).

The function f(x) is not defined when the denominator of the expression becomes zero, as division by zero is undefined. Setting the denominator equal to zero and solving for x, we get:

4 - e^x^2 = 0

e^x^2 = 4

Taking the natural logarithm of both sides, we obtain:

x^2 = ln(4)

x = ±√(ln(4))

Therefore, the values of x for which f(x) is not defined are x = √(ln(4)) and x = -√(ln(4)), which can be approximated to x = 2 and x = -2.7726, respectively.

b) The values of x for which f(x) is not defined are x = π/2 + kπ, where k is an integer.

For the function f(x) = e^(cos(x))/(3+x), we need to identify the values of x that would result in an undefined expression.

The function f(x) is not defined when the denominator of the expression becomes zero, as division by zero is undefined. Setting the denominator equal to zero, we have:

3 + x = 0

x = -3

Therefore, the value of x for which f(x) is not defined is x = -3.

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Answer:

Step-by-step explanation:

inverses of common function

\( \therefore \: f ^{-1}(x) = -\frac{ 2}{3 - x} \)

The data being skewed and indicating higher wait times above 7 minutes due to a busy park is the most suitable description based on the given line plot.

The best description of the shape of the data is that it is skewed and might mean that the wait times were higher than 7 minutes because the park was busy.

Here's the explanation:

From the line plot, we can observe that there are 6 dots above 6, 5 dots above 7, 3 dots above 5, and 2 dots above 8.

The distribution is not symmetric, as the data points are not evenly spread around a central value.

The fact that there are more dots above 7 and 8 suggests that the wait times were higher than these values for a significant number of rides. This skewness in the data indicates that there were instances of longer wait times.

Additionally, the presence of dots above 5 and 6 suggests that there were some rides with shorter wait times as well.

However, the higher concentration of dots above 7 and 8 indicates that the park was likely busy, leading to longer wait times.

The option stating that the data is skewed and might mean that the wait times were higher than 7 minutes because the park was busy best aligns with the information provided by the line plot.

It acknowledges the skewness of the data towards higher wait times, suggesting that the park experienced increased demand and longer queues during the fair.

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Answer:

B red shirt, skining pant, boots

Answer: 625 estudiantes

Step-by-step explanation:

100%-60%=40% varones

40/100 = 250/x

(250*100)/40 = 625 estudiantes

Based on the MWW test, the data does not provide strong evidence to suggest that the two airports experience delays of different lengths.

The value of the test statistic, W, can be obtained by using the Mann-Whitney-Wilcoxon (MWW) test. The MWW test is a non-parametric test used to determine if there is a difference between two independent samples.

Using the given data, we can calculate the test statistic, W. The ranks are assigned to the combined data from both airports, and then the sum of ranks for one of the airports is calculated.

Ranking the combined data in ascending order:

22, 32, 33, 34, 43, 46, 47, 54, 58, 69, 71, 88, 97, 102

Ranking the data for Airport 1:

69, 97, 46, 33, 54, 22, 47

The sum of ranks for Airport 1 is 7 + 11 + 4 + 3 + 6 + 1 + 5 = 37.

The test statistic, W, is given by the smaller of the sum of ranks for either airport.

W = min(37, 7*8 - 37) = min(37, 15) = 15

To find the p-value, we refer to the appropriate statistical table or use software. In this case, the p-value is approximately 0.1591 (rounded to four decimal places).

Since the p-value (0.1591) is greater than the significance level (0.05), we fail to reject the null hypothesis. Therefore, we do not have sufficient evidence to conclude that there is a significant difference in the length of flight delays between the two airports.

In conclusion, based on the MWW test, the data does not provide strong evidence to suggest that the two airports experience delays of different lengths.

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The equation that can be used to represent the proportional relationship between time and the distance a greyhound dog can travel is:

y = 44x.

A direct proportional relationship is a function in which the output variable is found with the multiplication of the input variable and the constant of proportionality, as follows:

y = kx.

In which k is the constant of proportionality, also representing the rate between the output and the input for any pair of (input, output) except (0,0).

From the table of distances and time given in this problem, the constant is found as follows:

k = 220/5 = 440/10 = 660/15 = 44.

Hence the constant is of 44 and the relation is given by:

y = 44x.

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