If you roll two fair dice(one black die and one white die) in how many ways can you obtain a 2 on the black die?

Answer: 20% of 160 is 32.

Step-by-step explanation:

The percentage is from the word percent which means one part in a hundred. It is a part of the base or the whole determined by the rate. Usually, the percentage is smaller than the base. However, there are also cases where the percentage is greater than the base. This happens when the percent is greater than 100%.

To find the percentage, you have to multiply the base and the rate. The base is the 100% or original amount or the whole while the rate is the ratio of the percentage to the base and it has the percent sign (%). Remember that you have to convert the rate to a decimal number by moving the decimal point twice to the left.

Let us now find the 20% of 160.

20% = 0.2

percentage = 160 × 0.2

= 32

Answer: To find the volumes of the prism and pyramid with congruent triangular bases and heights of 15 m, we need to know the dimensions of the triangular bases.

Let's assume that the triangular bases are equilateral triangles with side length 's'. The formula to calculate the volume of a prism is given by:

Volume of Prism = Base Area * Height

The base area of an equilateral triangle can be found using the formula:

Base Area = (sqrt(3) / 4) * s^2

Substituting the values, the volume of the prism is:

Volume of Prism = (sqrt(3) / 4) * s^2 * 15

Now, let's calculate the volume of the pyramid. The volume of a pyramid is given by:

Volume of Pyramid = (1/3) * Base Area * Height

Substituting the base area and height values for the pyramid:

Volume of Pyramid = (1/3) * ((sqrt(3) / 4) * s^2) * 15

Simplifying the equations, we can calculate the volumes of the prism and pyramid.

Please provide the value of 's' (side length of the triangular base) to proceed with the calculations.

let me answer the last one first

compound interest is just an exponential sequence really, where the next value is some exponential amount of the previous.

hmmm that can happen in say, a bouncing ball, the 1st bounce is high, let it keep on boucing by itself and the next bounce is usually a compounded value of the previous one, since it's smaller it'd be a Decay type of equation.

hmmm it also happens in say population growth, of any organism, humans, bees, amoebas.

now let's do the others

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3000\\ r=rate\to 2.6\%\to \frac{2.6}{100}\dotfill &0.026\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years \end{cases} \\\\\\ A=3000\left(1+\frac{0.026}{4}\right)^{4\cdot t}\implies \boxed{A=3000(1.0065)^t} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{after 15 years}}{t=15}\hspace{5em} A=3000(1.0065)^{15}\implies A\approx 3306.19 \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$3000\\ r=rate\to 2.6\%\to \frac{2.6}{100}\dotfill &0.026\\ t=years\dotfill &15 \end{cases} \\\\\\ A=3000e^{0.026\cdot 15}\implies A=3000e^{0.39}\implies A\approx 4430.94\)

Answer:

S = v1 t1 = 7 t1    traveling downstream

S = v2 t2 = 5 t2    traveling upstream

7 t1 = 5 t2

7 (6 - t2) = 5 t2     since t1 + t2 = 6

42 - 7 t2 = 5 t2

t2 = 42 / 12 = 3.5 hrs so t1 = 2.5 hrs

S = 7 t1 = 7 * 2.5 = 17.5 mi

Also, S = 5 t2 = 5 * 3.5 = 17.5 mi

Answer:

x = -4/3

Step-by-step explanation:

First, expand.

3 - 2(x - 4) = -5x - 7

Then, combine like factors.

3 - 2x + 8 = -5x + 7

11 - 2x = -5x + 7

Add 5x to both sides.

(11 - 2x) + 5x = (-5x + 7) + 5x

11 + 3x = 7

Subtract 11 from both sides.

(11 + 3x) - 11 = 7 - 11

3x = -4

Divide both sides by 3

(3x)/3 = -4/3

x = -4/3

Answer:

x = -6

Step-by-step explanation:

3-2(x-4)= -5x-7

Distribute

3 -2x +8 = -5x -7

Combine like terms

11 -2x = -5x -7

Add 5x to each side

11 -2x+5x = -5x-7+5x

11+3x = -7

Subtract 11 from each side

11+3x-11 = -7-11

3x = -18

Divide by 3

3x/3 = -18/3

x = -6

You'll need a ruler that has "centimeters" on it.

Use the ruler to measure the distance from Town Hall to the Art Gallery.

I don't have a ruler with me, so I can't say for certain what that centimeter distance will be. Even if I had a ruler, it won't be much use because I cant put it directly to the paper. Only you are able to do that part. But I'll go over a hypothetical example.

Let's say the on paper distance from Town Hall to the Art Gallery is 5 cm (roughly 1.97 inches).

This means we multiply both sides by 5 in the steps shown below.

1 cm on paper : 200 m in real life

5*1 cm on paper : 5*200 m in real life

5 cm on paper : 1000 m in real life

5 cm on paper : 1 km in real life

So the 5 centimeters measured out with the ruler corresponds to the real life distance of 1 kilometer. This would be the real life distance from Town Hall to the Art Gallery. Again, this is a hypothetical example. The actual centimeter distance is likely different and you'll need to get a ruler to measure it out for yourself.

Let me know if this helps. If you have further questions, then please let me know.

Answer:

37

Step-by-step explanation:

25-4g

25-4(-3)=37

Answer:

the answer is 13

Step-by-step explanation:

Plug g in

24-4×-3

PEMDAS

4×-3=-12

25-12=13

The linear equation that is represented in the table is:

y = 3*x + 2

A general linear equation can be written in the form:

y = m*x + b

Where m is the slope and b is the y-intercept.

First, notice that on the table we can see the point (0, 2), then the y-intercept of the linaer function is b = 2

Then we can write:

y = m*x + 2

Now we can use any other point on the table to find the value of the slope m.

Using the second point (1, 5),replacing the values we will get:

5 = m*1 + 2

Solving for m, we will get:

5 = m + 2

5 - 2 = m

3 = m

Then the linear equation is:

y = 3*x + 2

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Answer:

X=11 trust me on my mom

The number of tiles needed to cover the surface area of the box excluding the bottom is: 1,046 tiles.

The surface area of a box is the area surrounding all its faces. A box has 6 rectangular faces. Therefore, the total surface area of the box equals the sum of all 6 rectangular faces.

SA = 2(lw + lh + hw), where:

The image attached below shows the box Dmitri wants to cover. Since the bottom of the box would be excluded, therefore:

The surface area to be covered = surface area of the box - area of the bottom rectangular face

The surface area to be covered = 2(lw + lh + hw) - (l)(w)

l = 26

w = 15

h = 8

Substitute

The surface area to be covered = 2(l×w + lh + hw) - (l)(w) = 2·(15·26+8·26+8·15) - (26)(15) =

The surface area to be covered = 1436 - 390 = 1,046 cm

Area of one tile = 1 cm square

Number of tiles needed = 1,046/1

Number of tiles needed = 1,046 tiles.

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The next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term. None of the option is correct.

To find the pattern in the sequence 1, 1, 3, 8, 19, 41, we can examine the differences between consecutive terms:

1 1 3 8 19 41

0 2 5 11 22

Looking at the differences, we can observe that each subsequent difference is obtained by adding consecutive odd numbers: 2, 3, 4, 5, etc. This suggests that the original sequence may be related to square numbers.

Let's check if the differences between consecutive terms are square numbers:

2 = 1²

5 = 2² + 1²

11 = 3² + 2²

22 = 4² + 3²

Based on this pattern, we can make a reasonable assumption that the next difference should be 5² + 4² = 41 + 16 = 57. Adding this difference to the last term of the sequence (41), we get the next term:

41 + 57 = 98

Therefore, the next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term.

Hence, none of the given options accurately continue the pattern of the sequence. It's important to note that patterns in sequences can sometimes have multiple possible interpretations, and it's always essential to consider alternative patterns or extend the sequence further to confirm the pattern.

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Answer:

Step-by-step explanation:

Your question is unclear. What are "major intercepts"?

x²/81 + y²/64 = 1

The major axis is horizontal.

0²/81 + y²/64 = 1

y-intercepts = ±8

x²/81 + 0/64 = 1

x-intercepts = ±9

The correct answer is  (±9, 0)

The segment connecting the vertices is called the major axis. The midpoint of the segment is called the center of the ellipse. A segment perpendicular to the major axis that passes through the center and intersects the ellipse in two points is called the minor axis. The x-intercepts are (a,0) and (−a,0).

Given here, x²/81 +y²/64 =1

                   (x/9)²+(y/8)² = 1

Thus  major  intercepts of the elipse are at (±9,0)

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Answer:

u should better search the google or this site www.edkasa.edu.pk u will defiantly find the answer.

Answer:

i ate a dog and there good

Step-by-step explanation:

Answer:

The answers to the question in reference to the graph are mentioned below.

Step-by-step explanation:

It is given that we need to find the mentioned questions alongside the graphs of the functions;

Now, let us consider the first question given herein;

Now, let us consider the second part of the question;

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Answer:

42 strawberries in each backet with 4 left over

Step-by-step explanation:

256 divided by 6=42.6666667

42x6=252

256-252

Answer:

42 with 4 left over

Step-by-step explanation:

256/6

      4 2
6. 256

      4

     24

         16

          12

             4

To determine the cost of 6 pencils at 60 cents a dozen, we need to convert the price per dozen to the price per pencil. We know that a dozen is equal to 12, so we can use the following formula:

Price per pencil = (Price per dozen) / (Number of items per dozen)

So, in this case:

Price per pencil = (60 cents) / (12 pencils)

To convert cents to dollars, we divide by 100.

Price per pencil = (60/100) $ = 0.6 $

To find the total cost for 6 pencils we multiply the price per pencil by the number of pencils

Cost of 6 pencils = 6 * 0.6 = 3.6 $

So the cost of 6 pencils at 60 cents a dozen is 3.6 $.

Answer: 48 more monthly payments

Step-by-step explanation:

Answer:

C.

y = -3x - 1

y = 3x + 2

Step-by-step explanation:

Find the slope (m) and y-intercept (b) of each table to write an equation for each.

✔️First table:

Find the slope (m) = change in y/change in x

Using any two pair of values, say (0, -1) and (1, -4),

Slope (m) = (-4 - (-1))/(1 - 0) = -3/1

m = -3

Find the y-intercept:

y-intercept is the value of y when x = 0

From the table, y = -1 when x = 0. Therefore,

y-intercept (b) = -1

To write an equation for table 1, substitute m = -3 and b = -1 into y = mx + b

Equation for table 1:

y = -3x - 1

✔️ Second table:

Find the slope (m) = change in y/change in x

Using any two pair of values, say (0, 2) and (1, 5),

Slope (m) = (5 - 2)/(1 - 0) = 3/1

m = 3

Find the y-intercept:

y-intercept is the value of y when x = 0

From the table, y = 2 when x = 0. Therefore,

y-intercept (b) = 2

To write an equation for table 1, substitute m = 3 and b = 2 into y = mx + b

Equation for table 1:

y = 3x + 2

The y3(t) ≠ y1(t) + y2(t), the system is not linear.

To show that the system is not linear, we need to check if it follows the properties of linearity: superposition and homogeneity.

A counter-example can help demonstrate that these properties do not hold for the given system.
System definition: y(t) = |a(t-1)|
Let's consider two arbitrary inputs a1(t) and a2(t) with their respective outputs y1(t) and y2(t):
1. y1(t) = |a1(t-1)|
2. y2(t) = |a2(t-1)|
Now let's apply the superposition principle:
a3(t) = a1(t) + a2(t)
Let's find the output y3(t) for a3(t) and check if it's equal to y1(t) + y2(t):
y3(t) = |a3(t-1)| = |a1(t-1) + a2(t-1)|
Now let's check if y3(t) = y1(t) + y2(t):
y1(t) + y2(t) = |a1(t-1)| + |a2(t-1)|
Since we cannot guarantee that |a1(t-1) + a2(t-1)| = |a1(t-1)| + |a2(t-1)| for all possible inputs a1(t) and a2(t), we can conclude that the given system is not linear.

Here is a counter-example:
Let a1(t) = 1 for all t and a2(t) = -1 for all t.
Then, a3(t) = a1(t) + a2(t) = 0 for all t.
The outputs will be:
1. y1(t) = |a1(t-1)| = |1|
2. y2(t) = |a2(t-1)| = |-1|
3. y3(t) = |a3(t-1)| = |0|
Now, let's compare y3(t) with y1(t) + y2(t):
y3(t) = 0, but y1(t) + y2(t) = 1 + 1 = 2.

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Answer:

144 - 36×3.142 = 30.888

30.888 ÷4 = 7.722

According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99

A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.

B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.

To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.

Note: The given question is incomplete. The complete question is:

Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.

A) find the number of adults in terms of 'N'.

B) if there are 124 children how many adults are there?​

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The range is the best measure of variability for this data, and its value is 4.

The line plot displays the number of roses purchased per day at a grocery store, with the data values ranging from 0 to 4 (since there are no dots above 4).

The best measure of variability for this data is the range, which is the difference between the maximum and minimum values in the data set. In this case, the minimum value is 0 and the maximum value is 4, so the range is:

Range = Maximum value - Minimum value = 4 - 0 = 4

Therefore, the range is the best measure of variability for this data, and its value is 4.

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Answer:

Step-by-step explanation:

The given quantities of ingredients are required for making tomato soup for 4 people. To make soup for 14 people, the multiplicative factor can be determined by;

\(\frac{14}{4}\) = 3.5

Thus, the quantities of ingredients needed to make soup for 14 people are:

6 tomatoes x 3.5 = 21 tomatoes

1 potato x 3.5 = 3.5 potato

1 onion x 3.5 = 3.5 onions

2 table spoons of olive oil x 3.5 = 7 table spoons of olive oil

2 pints of vegetable stock x 3.5 = 7 pints of vegetable stock

1 carrot x 3.5 = 3.5 carrots

4 slices of bread x 3.5 = 14 slices of bread

The quantity of ingredients needed to make soup for 14 people are:

21 tomatoes

3.5 potato

3.5 onions

7 table spoons of olive oil

7 pints of vegetable stock

3.5 carrots

14 slices of bread

The correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3)

For the first question:

The table shows a proportional relationship between x and y. To describe what the graph of this proportional relationship would look like, we can examine the given data points.

The data points are (12, 3), (8, 26), and (24, ?). We can observe that as x increases, y also increases. This indicates a positive correlation between the variables. Additionally, we can see that the ratio of y to x remains constant for each data point.

Now, let's analyze the answer options:

A. A line passes through the point (0, 0) and continues through the point (3, 12).

This answer option does not align with the given data because there is no data point with an x-value of 3 and a corresponding y-value of 12.

B. A line passes through the point (0, 0) and continues through the point (2, 8).

This answer option aligns with the given data because (2, 8) is a valid data point from the table, and the line passes through the origin (0, 0).

C. A line passes through the point (0, 0) and continues through the point (6, 24).

This answer option does not align with the given data because there is no data point with an x-value of 6 and a corresponding y-value of 24.

D. A line passes through the point (0, 0) and continues through the point (12, 3).

This answer option aligns with the given data because (12, 3) is a valid data point from the table, and the line passes through the origin (0, 0).

Based on the analysis, the correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3). This accurately represents the graph of the proportional relationship given in the table.

For the second question, I'm sorry, but you didn't provide the multiple-choice options or the complete question. Could you please provide the question and options so that I can assist you further?

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Step-by-step explanation:

OUT of  35 spins   4 + 15 + 3  = 22   were blue or green or purple

 22/35 probability  = 63%

Answer:

Step-by-step explanation:

9 tins of cat food feed her 2 cats for 18 days

Step-by-step explanation:

Sally has 2 cats

food eaten by 1 cat each day =

food eaten by 2 cat each day=  tins

sally buys 9 tins of cat food

then

tins  required in = 1 day

1 tin required in

i.e  1 tin required in  2 days

9 tin  required  for = 9×2 = 18 days

hence ,  9 tins of cat food feed her 2 cats for 18 days

#Learn more :

Sue has 2 cats. Each cat eats 1/4 tin of food each day. Sue buys 8 tine of cat food. Has sue got enough cat food to feed her 2 cats for 14 days?