The following table shows the times of trains between Juno and Odiham.
Station
Times
Station
Times
Juno
07:15
22:15
Odiham
07:00
22:00
Kepler
07:24
and every
22:24
Ninar
07:10
and every
22:10
Lemma
07:32
20 minutes 22:32
Morgan
07:25
20 minutes 22:25
07:40
until
22:40
Lemma
07:33
until
22:33
Morgan
Ninar
07:55
22:55
Kepler
07:41
22:41
Odiham
08:05
23:05
Juno
07:50
22:50
Ferdo lives in Juno. He has a business appointment in Odiham and needs to be there for at least
two hours between his arrival in and departure from Odiham. He leaves Juno on the first train after
08:30.
(a) What is the earliest time that Ferdo can be back at Juno station after his appointment?

1. About 144 scoops of ice cream were served last Thursday.

2.Doris has 5 quarters, 10 dimes, and 5 nickels, and 4 pennies.

1. There are 16 ounces in a pound, so 18 pounds of ice cream weigh:

18 pounds * 16 ounces/pound = 288 ounces

Since one scoop of ice cream weighs 2 ounces, the number of scoops served is:

288 ounces / 2 ounces/scoop = 144 scoops

Therefore, about 144 scoops of ice cream were served last Thursday.

2. Let's use "q", "d", "n", and "p" to represent the number of quarters, dimes, nickels, and pennies that Doris has, respectively.

From the problem statement, we know that:

n = q (the number of nickels equals the number of quarters)

d = 2q (the number of dimes is twice the number of quarters)

n = 5 (she has 5 nickels)

We can use this information to write an equation for the total value of Doris's coins:

0.25q + 0.10d + 0.05n + 0.01p = 2.54

Substituting the values for n and d in terms of q, we get:

0.25q + 0.10(2q) + 0.05(5) + 0.01p = 2.54

Simplifying and solving for q, we get:

0.45q + 0.05 + 0.01p = 2.54

0.45q + 0.01p = 2.49

45q + p = 249

Since Doris has a total of 24 coins, we can write another equation:

q + d + n + p = 24

Substituting the values for n and d in terms of q, we get:

q + 2q + q + p = 24

4q + p = 24

We now have two equations with two unknowns:

45q + p = 249

4q + p = 24

Subtracting the second equation from the first, we get:

41q = 225

Solving for q, we get:

q = 225/41 ≈ 5.49

Since q must be a whole number, the closest integer value is 5. Substituting this value back into the equations for n and d, we get:

n = q = 5

d = 2q = 10

Finally, we can use the equation for the total number of coins to find the value of p:

q + d + n + p = 24

5 + 10 + 5 + p = 24

p = 4

Therefore, Doris has 5 quarters, 10 dimes, and 5 nickels, and 4 pennies.

Quarters are a type of coin used in the United States currency system. A quarter is worth 25 cents or 1/4 of a dollar. It has a diameter of 0.955 inches (24.26 mm) and a thickness of 0.069 inches (1.75 mm). The front side of the coin features a portrait of George Washington, the first president of the United States, and the back side features an eagle. Quarters are commonly used in daily transactions to make small purchases or provide change.

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Answer:

3/8

Step-by-step explanation:

We have to use a common denominator of 8 for this problem. 3/4 = 6/8. 6/8  - 3/8 is 3/8. 3/8 is in its simplest form, so that would be the answer.

Answer:

3/8

Step-by-step explanation:

Reduce the fraction to lowest terms

1 is the greatest common divisor of 3 and 8. The result can't be further reduced.

Answer:

C: infinitely many solutions

Step-by-step explanation:

By using the 68-95-99.7 Rule, the percent of scores in the data set that are expected to be below a score of 120 is 84.13%.

In Mathematics, the Empirical Rule is sometimes referred to as the 68-95-99.7 rule and it can be defined as a statistical rule which states that:

At the middle 68% of the normal distribution, we have the following standard score:

μ - σ = 108 - 12 = 96.

μ - σ = 108 + 12 = 120.

Where:

At the middle 95% of the normal distribution, we have:

μ - σ = 108 - 2(12) = 84.

μ - σ = 108 + 2(12) = 132.

At the middle 99.7% of the normal distribution, we have:

μ - σ = 108 - 3(12) = 72.

μ - σ = 108 + 3(12) = 144.

Now, we can determine the percent (P) of scores in the data set that are expected to be below a score (x) of 120;

P(x < 120) = P((x - μ)/σ < (120 - 108)/12)

P(x < 120) = P((x - μ)/σ < 12/12)

P(x < 120) = P(z < 1)

P(x < 120) = 0.8413

P(x < 120) = 84.13%

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The number of hours spent by Mabel to edit the 15 minute long video according to the task content is; 20 hours.

According to the task content, it can be inferred that for a 3 minute video, Mabel spends 4 hours.

On this note, it follows from proportion that the time taken by Mabel to edit the 15 minute video would be; 4hours × 5 = 20 hours.

Hence, the time taken to edit the 15minute long video is; 20 hours.

hi

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This is because the red and blue lines cross at (0,-2). We don't really need to worry about the y coordinate here. For this problem, all we care about is the x coordinate, which is x = 0.

When x = 0, the outputs of each function f(x) and g(x) are both the same value. So that's why we can say f(0) = g(0). It's the same as saying f(x) = g(x) has the solution x = 0.

The surface area of the box increases by 27.4 cm² when the height is increased by 0.2 cm.

To find the increase in surface area, we first need to calculate the initial surface area of the box and then calculate the surface area after increasing the height.

The formula for the surface area of a rectangular prism is given by:

Surface Area = 2*(length width + length height + width*height)

Initial Surface Area:

Length (L) = 13 cm

Width (W) = 8.7 cm

Height (H) = 28 cm

Initial Surface Area = 2*(138.7 + 1328 + 8.7*28)

Next, we calculate the new surface area after increasing the height by 0.2 cm. The new height is:

New Height = Initial Height + Increase in Height = 28 cm + 0.2 cm

New Surface Area = 2*(138.7 + 13(28+0.2) + 8.7*(28+0.2))

To find the increase in surface area, we subtract the initial surface area from the new surface area:

Increase in Surface Area = New Surface Area - Initial Surface Area

Let's calculate the values:

Initial Surface Area = 2*(138.7 + 1328 + 8.728) = 2(113.1 + 364 + 243.6) = 2*(720.7) = 1441.4 cm²

New Surface Area = 2*(138.7 + 13(28+0.2) + 8.7*(28+0.2)) = 2*(113.1 + 377.2 + 244.1) = 2*(734.4) = 1468.8 cm²

Increase in Surface Area = New Surface Area - Initial Surface Area = 1468.8 cm² - 1441.4 cm² = 27.4 cm²

Therefore, the surface area of the box increases by 27.4 cm² when the height is increased by 0.2 cm.

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For the forecasting process to be effective, internal data should be highly disaggregated

Predicting the future based on historical and current facts is the forecasting process. The most popular method for doing this is trend analysis. It is typically ideal to use internal data that is significantly disaggregated for forecasting to be successful. This means that rather than aggregating or summarizing the data at a high level, it should be broken down into as much detail as feasible.

Since highly disaggregated data presents a more complete and precise picture of the variables that may impact future events, forecasting can be done more accurately and dependably. This can include information about previous sales, manufacturing rates, inventory levels, costs, and other elements that can be important for forecasting. Whereas, using highly aggregated data can lead to less accurate and reliable forecasts, as it may not capture the full range of factors that may influence future outcomes.

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Answer:

\(\frac{9}{2}\)

Step-by-step explanation:

cup of mayo used for 5 servings =  \(\frac{3}{4}\)

cup of mayo used for 1 servings = \(\frac{3}{4}*\frac{1}{5}=\frac{3}{20}\)

cup of mayo needed for 30 servings=  \(\frac{3}{20}*30=\frac{9}{2}\)

The length of the arc on a circle of mentioned radius intercepted by the central angle is 3π feet.

The formula to calculate the arc angle from radius and central angle is simply by finding their product. The formula for arc length is -

S = r×theta, where r is radius and theta is the central angle

Now we are given angle in degree and we need to convert it in radian. So the formula is -

Central angle = 60 × π/180

Central angle = π/3 radians

Keep the values in formula

S = 9 × π/3

Performing division

S = 3π

Thus, the arc length is 3π.

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The 9/32 of whole pizza Troy had for breakfast. The whole bag of coffee weighs 10/7 pounds

A fraction is defined as a part of a whole quantity.

1. Leftover pizza = 3/8

Pizza used as breakfast = 3/4 of left-over pizza

= 3/4 of 3/8

The of is calculated by the use of multiplication

The fractions are multiplied as follows:

Pizza used as breakfast = 3/4 * 3/8

= 3 * 3 / 4 * 8

= 9/32

2. 3/5 of bag of coffee weighs = 6/7 pounds

1 bag of coffee weighs = 6/7 ÷ 3/5

The fractions are divided as follows:

Thus, = 6/7 * 5/3

= 6 * 5 / 7 * 3

= 30/21

= 10/7 pounds

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Answer:

Step-by-step explanation:

the answer is 16.8

Explanation: well for starters you have to do what's in the parenthesis, so 4 times 1.4 is equal to 5.6. so now we add up the equation and get 28, so now we are left with 28-5.6-5.6 which equals 16.8

hoped this helped;)

Answer:

She subtracted the lengths of the diagonal lines instead of adding them.

Step-by-step explanation:

\( \\ \mathbb {}\)

\( \\ 6 \frac{2}{5} \div 3 \frac{1}{5} - (2\frac{3}{10} + 1 \frac{3}{8} )\)

\( \\ = \frac{32}{5} \div \frac{16}{5} - ( \frac{23}{10} + \frac{11}{8} )\)

\( \\ = \frac{32}{5} \div \frac{16}{5} - ( \frac{92 + 55}{40} )\)

\( \\ = \frac{32}{5} \div \frac{16}{5} - \frac{147}{40} \)

\( \\ = \frac{32}{5} \times \frac{5}{16} - \frac{147}{40} \)

\( \\ = 2 - \frac{147}{40} \)

\( \\ = \frac{80 - 147}{40} \)

\( \\ = \frac{ - 67}{40} \)

\( \\ = - 1 \frac{27}{40} \)

Answer:

d. x = 45°, y = 13.1√2

Step-by-step explanation:

Due to it being a square, each corner is 90°. The angle bisector splits the square into two triangles. These triangles are 45° 45° 90° triangles.

Half of 90° is 45°, therefore x = 45°.

When you have a 45° 45° 90° triangle, the legs of the triangle will equal each other and the hypotenuse will be the side length multiplied by √2. Therefore, y = 13.1√2.

The probability that Amie will select a large shirt is 0.25 or 25%.

Given information:

USA Spirit T-shirts are available for purchase in a shop.

The shirts are available in red, blue, and white, with sizes ranging from small to medium to large to extra-large.

Amie will choose one shirt at random from the shelf if the shelf includes an equal number of shirts in each color and size combination.

There are three colors and four sizes, so there are a total of 3 x 4 = 12 shirts on the shelf.

Since there are an equal number of shirts of each size and color, there are 12/4 = 3 large shirts.

The probability of selecting a large shirt is the number of large shirts divided by the total number of shirts, which is:

3/12 = 1/4 = 0.25.

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Answer:

3x

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer:

a. 1.2

Step-by-step explanation:

From the given question, we will notice that the dependent variable, as well as the independent variable, are log-transformed in the model. Thus, a 1% increase in S will likely result in 1.2% increase in Y.

Answer:

So if PT=TQ and TQ=7x-9

PT=5x+3=TQ=7x-9

5x+3=7x-9

minus 5x both sides

3=2x-9

add 9 both sides

12=2x

divide 2

6=x

PT=5x+3

PT=5(6)+3

PT=30+3

PT=33

PT=QT=33

x=6

with help from heliy02

Step-by-step explanation:

The included angle of one triangle are congruent to the corresponding parts of the other triangle. Since the sides AD and BE are congruent, as well as the included angle DAB and CBA, then △ADE≅△BCE.

By the Side-Angle-Side (SAS) congruence theorem, if two sides and the included angle of one triangle are congruent to the corresponding parts of the other triangle, then the triangles are congruent. In this proof, the given statements provide that the sides AE and EB are congruent, as well as the angles DAB and CBA. This means that the two corresponding sides of the triangles △ADE and △BCE are congruent, and the included angles of the triangles are also congruent. Therefore, according to the SAS congruence theorem, the two triangles are congruent, and thus △ADE≅△BCE.

The SAS congruence theorem applies to any two triangles, regardless of the size or shape of the triangles. The congruence of the sides and angles is sufficient to prove that two triangles are congruent. This theorem can be used to prove other theorems, such as the Triangle Sum Theorem, which states that the sum of the angles in a triangle is equal to 180 degrees. To prove this theorem, one could use the SAS congruence theorem to show that two right triangles are congruent, and then use the congruent angles to prove that the sum of the angles in a triangle is 180 degrees.

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Answer:

3t+4t=17.5

Step 1: Simplify both sides of the equation.

3t+4t=17.5

(3t+4t)=17.5(Combine Like Terms)

7t=17.5

7t=17.5

Step 2: Divide both sides by 7.

t=2.5

Answer:

she should sell 79 cameras on Dec.

Answer:

a. Three students preferred swimming over running and walking.

b. Fourteen students chose running or walking.

c. Alex and Jose preferred swimming and walking, but not running.

Suppose \(f(x) =8^{3x\) and \(g(x) =8^{4x\), function operations that are correct include the following:

A. (f + g)(x) = \(8^{3x} + 8^{4x}\)

B. (f × g)(x) = \(8^{7x}\)

C. (f - g)(x) = \(8^{3x} - 8^{4x}\)

In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.

This ultimately implies that, an exponent is represented by the following mathematical expression;

bⁿ

Where:

By applying the division and multiplication law of exponents for powers of the same base to the functions, we have the following:

(f × g)(x) = \(8^{3x+ 4x}=8^{7x}\)

(f ÷ g)(x) = \(8^{3x- 4x}=8^{-x}\)

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9514 1404 393

Answer:

  C(3, -2)

  D(1, 7)

Step-by-step explanation:

It looks like your tool will do the rotation for you and give you the coordinates. The image(s) should look like the attached.

The quadrilaterals which have both line and rotational symmetry of order more than 1 are square, and rhombus

Symmetry is a fundamental concept in mathematics and geometry. It refers to the property of a shape that remains unchanged when it is transformed in a certain way.

Now, let's talk about quadrilaterals that have both line and rotational symmetry of order more than 1. One example of such a quadrilateral is a square.

Another example of a quadrilateral with both line and rotational symmetry of order more than 1 is a rhombus. A rhombus is a type of quadrilateral where all four sides are equal in length, and opposite angles are equal.

In summary, a square and a rhombus are examples of quadrilaterals that have both line and rotational symmetry of order more than 1.

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Complete Question:

Name the quadrilaterals which have both line and rotational symmetry of order more than 1.

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.