Write a division problem such that the quotient is the same as 3/8÷3/5

Answer:

The ordinary number form of the mentioned scientific notation form of the number is 0.00604.

Scientific notation of representation of a number refers to converting a number to its readable form. It is applicable on both small and large numbers, where value of zeroes are represented in exponential form for easy interpretation.

The exponent of -3 is interpreted as three zeroes in the denominator. The division with zero will further shorten the number by adding zeroes to left hand side of the digit after decimal. Hence, the ordinary form of the number will be 0.00604.

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Answer:

No I don’t think they are

Step-by-step explanation:

Because when you solve them their different

Answer:

56.25 minutes

Step-by-step explanation:

1 mile is 6.25 minutes

9 miles is _____?

6.25 minutes x 9 miles =

56.25 minutes

Find Unit Rate to help solve

Hope this helps :)

Answer:

5/12

Step-by-step explanation:

Reduce the expression by canceling the common factors

\(\begin{array}{llll} f(x)~from\\\\ x_1 ~~ to ~~ x_2 \end{array}~\hfill slope = m \implies \cfrac{ \stackrel{rise}{f(x_2) - f(x_1)}}{ \underset{run}{x_2 - x_1}}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array} \\\\[-0.35em] ~\dotfill\\\\ f(x)= 3^x+17 \quad \begin{cases} x_1=3\\ x_2=6 \end{cases}\implies \cfrac{f(6)-f(3)}{6 - 3}\implies \cfrac{[3^6+17]~~ - ~~[3^3 +17]}{3} \\\\\\ \cfrac{746~~ - ~~44}{3}\implies \cfrac{702}{3}\implies \text{\LARGE 234}\)

If there are 6 students and one is selected for best student and another is selected for runner up, then 15 different ways that we can arrange the students

Total number of students in the class = 6 students

Number of students for best student = 1 student

Number of students for runner up = 1 students

Total number of students needed = 2

Here we have to use the combination

6\(C_2\) = 6! / 2!(6 - 2)!

= 6! / 2! × 4!

Split the terms and cancel it

= 6 × 5 / 2 × 1

Multiply the terms

= 30 / 2

Divide the numbers

= 15 combinations

Therefore, there are 15 combinations

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The area of the circular shaded area is of 116.113 cm².

The area of a circle of radius r is given by pi multiplied by the radius squared, as follows:

A = πr²

For this problem, the shaded area is the area of the larger circle subtracted by the area of the smaller circle. We have that:

Hence the area of the larger circle is given by:

Al = π(6.5)² = 132.732 cm².

The area of the smaller circle is given by:

As = π(2.3)² = 16.619 cm².

Hence the shaded area is given by:

A = Al - As = 132.732 - 16.619 = 116.113.

The shaded area is of 116.113 cm².

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1.The formula for the volume of a right circular cylinder is V = πr^2h, where r is the radius of the base and h is the height of the cylinder.

We are given that the base diameter is 20cm, so the radius is half of that, which is 10cm.

Therefore, the volume of the cylinder is:

V = πr^2h

V = π(10cm)^2(5cm)

V = π(100cm^2)(5cm)

V = 500π cm^3

Hence, the volume of the cylinder is 500π cubic centimeters.

2.We are given that the height of the cylinder is 22 1/4 and the diameter is 2 2/5 times its height. First, we need to find the radius of the base.

The diameter of the base is 2 2/5 times the height, so we can write:

d = (12/5)h

Substituting in the given value of h, we get:

d = (12/5)(22 1/4) = 54.4 cm

Therefore, the radius of the base is:

r = d/2 = 27.2 cm

Now, we can use the formula for the volume of a cylinder:

V = πr^2h

Substituting in the values of r and h, we get:

V = π(27.2cm)^2(22 1/4 cm)

V ≈ 50,873.36 cm^3

Rounding to the nearest hundredth, we get:

V ≈ 50,873.36 cm^3 ≈ 50,873.35 cm^3

Hence, the volume of the cylinder is approximately 50,873.35 cubic centimeters.

Sam and Sandy ate 1/2 of a pizza with 12 pieces. They ate 6 pieces in total.

Start with the given information: Sam and Sandy ate 1/2 of a pizza, and the pizza has 12 same-size pieces.

To find out how many pieces they ate, we need to calculate 1/2 of the total number of pieces.

Multiply the total number of pieces by 1/2:

12 * 1/2 = 12/2 = 6

The result of the calculation is 6. Therefore, Sam and Sandy ate 6 pieces of the pizza.

So, step by step, we calculated that Sam and Sandy ate 6 pieces of the pizza.

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An equation for C is C = 0.1t + 4.

An interpretation of the slope of the graph is that the total cost of using a computer increases by 0.1 per minute.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (5 - 4.5)/(10 - 5)

Slope (m) = 0.5/5

Slope (m) = 0.1

At data point (10, 5) and a slope of 0.1, a linear equation for C can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = 0.1(x - 10)

y = 0.1x + 5 - 1

y = 0.1x + 4 ≡ C = 0.1t + 4

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To determine the typical number of points per game in 2008 carefully observe the histogram and identify the number of points that the tallest bar represent.

This is a type of graph that represents frequency by using bars.

Considering the bars differ in height based on the frequencly, the best to identify the typical number of points is:

Note: This questions is incomplete because the histograms were not attached. Due to this, the answer is based on general knowledge.

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3x + 6 =27 The solution is 7 First Subtract 6 from both sides of the equation, Then divide both sides of the equation by the same term

Answer:

- 1/ 4 > -1 2/3

Step-by-step explanation:

-1 /4 is closer to zero than - 1 2/3.

Answer:

-14>-1 2/3

Step-by-step explanation:

Note: The image of G after the dilation must be G'(5,-5) instead of G'(5,5).

Given:

The vertices of a rectangle are E(4,8), F(2,8), G(2,-2) and H(-4,-2).

The rectangle is dilated with the origin as the center of dilation so that G's is located at (5,-5).

To find:

The algebraic representation that represents this dilation.

Solution:

If a figure is dilated by factor k with origin as the center of dilation, then the dilation is defined as:

\((x,y)\to (kx,ky)\)              ...(i)

Let the given rectangle is dilated by factor k with origin as the center of dilation. Then,

\(G(2,-2)\to G'(k(2),k(-2))\)

\(G(2,-2)\to G'(2k,-2k)\)

The image of G after dilation is G'(5,-5). So,

\((2k,-2k)=(5,-5)\)

On comparing both sides, we get

\(2k=5\)

\(k=\dfrac{5}{2}\)

So, the scale factor is \(k=\dfrac{5}{2}\).

Substituting \(k=\dfrac{5}{2}\) in (i), we get

\((x,y)\to \left(\dfrac{5}{2}x,\dfrac{5}{2}y\right)\)

Therefore, the required algebraic representation to represents this dilation is \((x,y)\to \left(\dfrac{5}{2}x,\dfrac{5}{2}y\right)\).

Answer:

unlikely

Step-by-step explanation:

11% is closer to 0 than it is to 1/2. when something may occur, but significantly less than half of the time, we say it is unlikely

Answer: D

Step-by-step explanation:

Answer:

p =  y + 2.55

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

The price of a gallon of milk was $2.65. The price rose y dollars after the last hurricane. Then the price dropped $0.15 and later rose again by $0.05. Which expression represents the current price of milk

My answer:

Let p is the price of milk

Given the information:

<=> p = 2.65  

<=> p = 2.65   + y

<=> p =  2.65   + y  - 0.15

<=> p = 2.65  + y  - 0.15  + 0.05

<=> p =  y + 2.55

Hope it will find you well.

Answer:

the answer is 4 x 10^4  or 40,000

Step-by-step

the answer is 40,000 but you need to put it in scientific notation which equals 4 x 10 to the 4th power

4 x 10^4

When purchasing one ticket for $3 from a pool of 100 fifty-fifty tickets, the expected value is approximately -$1.50.

The expected value of an event is calculated by multiplying the probability of each outcome by its corresponding value and summing them up. In this case, there are 100 fifty-fifty tickets for sale, each priced at $3. The first prize is $150. To determine the expected value when purchasing one ticket, we need to calculate the probability of winning and losing, as well as their respective values.

Since there are 100 tickets and the outcome is fifty-fifty, the probability of winning is 1/100 or 0.01 (1%). The value of winning is $150, while the value of losing is -$3 (the cost of the ticket). Therefore, we can calculate the expected value as follows:

Expected value = (Probability of winning * Value of winning) + (Probability of losing * Value of losing)

Expected value = (0.01 * $150) + (0.99 * -$3)

Expected value = $1.50 - $2.97

Expected value ≈ -$1.47

Thus, the expected value when purchasing one ticket is approximately -$1.47, indicating that, on average, the buyer can expect to lose $1.47 per ticket purchased.

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Answer:

\(-\frac{17}{21}\)

Step-by-step explanation:

Negative and positive is negative.

Negative and negative is positive.

Positive and positive is positive.

\(\frac{1}{3} +-\frac{7}{4}=\frac{1}{3}-\frac{7}{4} = -\frac{17}{12}\)

Calculations:

Answer:

Step-by-step explanation:

Answer:

For this case we can make the following rule of three:

1 1/2 ---------> 3/4

x --------------> 9

We clear the value of x:

x = ((9) / (3/4)) * (1 1/2)

Rewriting we have:

x = ((9) * (4/3)) * (1 1/2)

x = (36/3) * (1 1/2)

x = (12) * (1 1/2)

x = (12) * (3/2)

x = 18

Answer:

you would need 18 quarts of sparkling water to mix with 9 quarts of grape juice

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

Explanation:

We start off with 16 seats in the first row. Then we have 16+3 = 19 seats in the next row and 19+3 = 22 seats in the third row, and so on.

The pattern is this: 16, 19, 22, ...

We add on 3 each time we need to get another row of seats. We keep doing this until we have 25 rows in all.

We need to determine how many seats are in row n, where n is some positive whole number, aka n is a natural number.

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

Going back to the sequence {16,19,22,...} we can see that this is arithmetic because we have the same gap between the adjacent numbers. That gap being 3. This is the common difference, so d = 3.

The start term is a = 16

The nth term is...

f(n) = a + d(n-1)

f(n) = 16 + 3(n-1)

f(n) = 16 + 3n - 3

f(n) = 3n + 13

This function f(n) will quickly tells us how many seats are in a given row.

For instance, if n = 3, then,

f(n) = 3n + 13

f(3) = 3*3 + 13

f(3) = 9 + 13

f(3) = 22

This matches from the third term in {16, 19, 22, ...}. I recommend you try other values of n to help show why that function works the way it does.

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

We did all that work to find the nth term f(n) so that we can then use the formula below to sum all the terms from 1 to n

Sn = sum of the first n terms

Sn = first term + second term + ... + nth term

Sn = (n/2)*(first term + nth term)

Sn = (n/2)*( a + f(n) )

Sn = (n/2)*(16 + 3n+13)

Sn = (n/2)*(3n + 29)

Let's try n = 2 and we get

Sn = (n/2)*(3n + 29)

S2 = (2/2)*(3*2 + 29)

S2 = 35

Then note how the first two terms of {16, 19, 22, ...} add to 16+19 = 35 to help confirm that we have the correct Sn formula.

I should point out that this trick only works for arithmetic sequences.

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

We have one more step from here. Plug in n = 25 to find the sum of the first 25 terms of the arithmetic sequence {16,19,22,...}

Sn = (n/2)*(3n + 29)

S25 = (25/2)*(3*25 + 29)

S25 = 1300

Therefore, this theater has a total of 1300 seats which is the final answer.

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

You could list out all the first 25 terms of {16,19,22,...}, and then add them up, and you should get 1300 as the result. Doing such a check is tedious and often something I recommend you would use computer software for.

I used computer software to get the following

16+19+22+25+28+31+34+37+40+43+46+49+52+55+58+61+64+67+70+73+76+79+82+85+88 = 1300

This confirms the correct final answer. This part is optional in my opinion. It's just there if you're curious. Note how each term in that long sum above is incrementing by 3 each time.

Using the formula they gave us:

Cost of shipping = 2.79 + 0.38(8)

Cost of shipping = 2.79 + 3.04

Cost of shipping = 5.83(currency unit)

A individuals tend to ignore the cost their use of the resource has on others,  to the overuse of common resources.

1)The individual marginal cost is greater than the marginal social cost: This situation would lead to underuse or suboptimal allocation of resources, rather than overuse.

2)Individuals tend to ignore the cost their use of the resource has on others.

Common resources, also known as common-pool resources, are typically characterized by being nonexcludable and rivalrous . Due to these characteristics, common resources are prone to overuse or depletion.

One of the key reasons common resources are overused is that individuals tend to ignore the cost their use of the resource has on others. Since the marginal cost of consuming one more unit of the resource is often low or perceived as zero, individuals may prioritize their immediate benefits without considering the long-term consequences for the resource or other people who depend on it.

3)The other options listed in the question are not directly related to the overuse of common resources:

The marginal cost of allowing one more unit of consumption is zero.While this may contribute to the overuse of common resources, it is not the primary reason. The zero marginal cost implies that individuals can consume additional units without incurring extra costs, but it does not address the issue of ignoring the cost on others.

4)Common resources are nonrival and nonexcludable:

These characteristics define common resources but do not directly explain  they are overused. The overuse arises from the behaviour of individuals and their disregard for the costs imposed on others.

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