Rita read 1,362 words in 6 minutes. Joy read 1,456 words in 7 minutes. Who read at the faster rate? Joy read at the faster rate because 208 words per minute < 227 words per minute. Rita read at the faster rate because 227 words per minute > 208 words per minute. Joy read at the faster rate because 208 words per minute > 227 words per minute. Both Rita and Joy read at the same rate.

Answers

Answer 1

The correct answer is "Rita read at the faster rate because 227 words per minute > 208 words per minute".

How do you calculate rate of something?

The rate of something is a measure of how fast or slow it changes over time or another variable. The general formula for calculating rate is:

Rate = Change in value / Time interval or Change in value / Change in another variable Rates can be expressed in different units, such as miles per hour, dollars per day, or units per minute. It's important to ensure that the units are consistent throughout the calculation to obtain accurate results. In summary, the rate of something can be calculated by dividing the change in value by the time interval or the change in another variable.

To find out who read at the faster rate, we need to calculate the rate of reading for each person. We can do this by dividing the number of words read by the time taken to read them.

Rita's reading rate = 1362/6 = 227 words per minute

Joy's reading rate = 1456/7 = 208 words per minute

Therefore, Rita read at a faster rate than Joy, with a reading rate of 227 words per minute compared to Joy's reading rate of 208 words per minute.

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Related Questions

i need fast help with matching problem i dont need explanation just answer

Answers

Solve x in each quadratic equation:

$\begin{gathered} 2x^2-32=0 \\ 2x^2-32+32=0+32 \\ 2x^2=32 \\ \frac{2x^2}{2}=\frac{32}{2} \\ x^2=16 \\ \sqrt{x^2}=\sqrt{16} \\ x=\pm4 \end{gathered}$

Solution set for equation 2x^2-32=0 is: (-4,4)

_________________________________

$\begin{gathered} 4x^2-100=0 \\ 4x^2-100+100=0+100 \\ 4x^2=100 \\ \frac{4x^2}{4}=\frac{100}{4} \\ x^2=25 \\ \sqrt{x^2}=\sqrt{25} \\ x=\pm5 \end{gathered}$

Solution set for equation 4x^2-100=0 is: (-5,5)

_____________________

$\begin{gathered} x^2-55=9 \\ x^2-55+55=9+55 \\ x^2=64 \\ \sqrt{x^2}=\sqrt{64} \\ x=\pm8 \end{gathered}$

a fair die is rolled 100 times.the results are shown below
number:. 1. 2. 3. 4. 5. 6

no of times:. 12. 16. 25. 18. 15. 14

what is the probability of getting
1?
2?
3?
4?
5?
6?

Answers

1.) Probability of getting 1: 0.12 or 12%.

2.) Probability of getting 2: 0.16 or 16%.

3.) Probability of getting 3: 0.25 or 25%.

4.) Probability of getting 4: 0.18 or 18%.

5.) Probability of getting 5: 0.15 or 15%.

6.) Probability of getting 6: 0.14 or 14%.

To calculate the probability of getting a specific number on a fair die, we divide the number of times that number appears by the total number of rolls. In this case, the die was rolled 100 times, and the results are given as follows:

Number: 1 2 3 4 5 6

Times: 12 16 25 18 15 14

To find the probability of getting each number, we divide the corresponding number of times by the total number of rolls (100):

Probability of getting 1 = 12 / 100 = 0.12.

Probability of getting 2 = 16 / 100 = 0.16.

Probability of getting 3 = 25 / 100 = 0.25.

Probability of getting 4 = 18 / 100 = 0.18.

Probability of getting 5 = 15 / 100 = 0.15.

Probability of getting 6 = 14 / 100 = 0.14.

Therefore, the probabilities of getting each number on a fair die, based on the given results of 100 rolls, are approximately:

1: 0.12 or 12%,

2: 0.16 or 16%,

3: 0.25 or 25%,

4: 0.18 or 18%,

5: 0.15 or 15%,

6: 0.14 or 14%.

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Ivan's room is a square with an area of 144 square feet. What is the perimeter of Ivan's room?

Answers

Hey there! I'm happy to help!

All the sides of a square are the same. This means that you multiply one of the sides by itself to get the area, which is conveniently called squaring. To go backwards, you find the square root. We already know that 144 is 12×12, but if you didn't know you could do √144 on your calculator and get 12.

Since each side is 12, we multiply 12 by 4, giving us 48 feet as our perimeter.

Have a wonderful day! :D

Sally bought 1.4 kilograms of bananas for AED 7.35 $ a kilo. How many kilograms
of apples sold at 10.20 $ per kilogram should you buy so that the kilogram of fruit
costs 8.15 $

Answers

You should buy approximately 1.067 kilograms of apples at $10.20 per kilogram in order to have the kilogram of fruit cost $8.15.

Let's assume that Sally bought x kilograms of apples at $10.20 per kilogram.

The total cost of bananas is given as AED 7.35 per kilogram, and Sally bought 1.4 kilograms of bananas. So, the cost of the bananas is:

Cost of bananas = AED 7.35 * 1.4 = AED 10.29

The total cost of apples is given by the equation:

Cost of apples = $10.20 * x

The total cost of the fruits combined should be AED 8.15 per kilogram. So, the equation becomes:

Total cost of fruits = (Cost of bananas + Cost of apples) / (1.4 + x) = AED 8.15

Substituting the known values, we have:

(10.29 + 10.20 * x) / (1.4 + x) = 8.15

Cross-multiplying and simplifying, we get:

10.29 + 10.20 * x = 8.15 * (1.4 + x)

Expanding the equation, we have:

10.29 + 10.20 * x = 11.41 + 8.15 * x

Rearranging the equation, we get:

10.20 * x - 8.15 * x = 11.41 - 10.29

1.05 * x = 1.12

Dividing both sides by 1.05, we find:

x = 1.12 / 1.05

x ≈ 1.067

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SOMEONE ANYONE PLEASE HELP!!!

Answers

The graph of g(x) is obtained from the graph of f(x) by the following transformations:

- A horizontal stretch by a factor of 9. This is because the graph of g(x) is 9 times wider than the graph of f(x).

- A vertical translation down by 2 units. This is because the graph of g(x) is 2 units lower than the graph of f(x).

In other words, to obtain the graph of g(x) from the graph of f(x), we stretch the graph horizontally by a factor of 9 and then translate it down by 2 units.

Here is a more detailed explanation of the transformations:

- Horizontal stretch by a factor of 9: To stretch the graph horizontally by a factor of 9, we multiply all of the x-coordinates by 9. This means that every point on the graph of f(x) will be moved 9 units to the right on the graph of g(x).

- Vertical translation down by 2 units: To translate the graph down by 2 units, we subtract 2 from all of the y-coordinates. This means that every point on the graph of f(x) will be moved 2 units down on the graph of g(x).

Oliver spends $200 to produce some pineapples. He is able to sell each one for $6. If p represents the number of pineapples he must sell to make a profit, write an inequality and solve for p. Do not round your answer.

Answers

The inequality to solve for p is 6p > 600 and the solution is p > 100

How to write an inequality and solve for p

From the question, we have the following parameters that can be used in our computation:

Selling price = $6 per apple

So, we have

Total = 6p

Also, we have

Spendings = $600

To make profit, we have

6p > 600

Divide by 6

p > 100

Hence, the inequality to solve for p is 6p > 600 and the solution is p > 100

Answers

Answer:

$\fbox {2,400 pounds}$

Step-by-step explanation:

Information we have :

200 pounds is added2 orders of 700 pounds is removed1,200 pounds remain

What we need to find :

Original amount

Solving :

g + 200 - 2(700) = 1200g + 200 = 1200 + 1400g + 200 = 2600g = 2,400 pounds of gravel

What are the names of the 3 types of angles that add up to 180 degrees? Options:alternate exterior
linear pair/supplementary
same side exterior
same side interior
corresponding
alternate interior
vertical PLEASE HELP I DONT UNDERSTAND

Answers

The three types of angles that add up to 180 degrees are linear pair/supplementary, same side exterior, and same side interior.

Which angles add up to 180 degrees?

For angles to add up to 180 degrees, they need to be supplementary. Angles on a linear pair are supplementary and so will add up to 180 degrees.

Same side interior and same side exterior angles are also supplementary and so they will always add up to 180 degrees.

In conclusion, linear pair/supplementary, same side exterior, and same side interior will add up to 180 degrees.

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is this graph a minimum or a maximum pls help

Answers

The vertex of the graph is a maximum at (-2, 4)

Calculating if the vertex of the graph a maximum or a minimum?

From the question, we have the following parameters that can be used in our computation:

The graph

The graph is a quadratic function

From the graph, we can see that the graph has a maximum value

This maximum value represents the vertex of the graph

And it is located at (-2, 4)

So, we have

Maximum = (-2, 4)

Hence, the maximum value of the function is (-2, 4)

Answers

Answer: HL

Step-by-step explanation:

Using only the markings given in the diagram, which triangle congruence criterion can be used to prove

If the hypotenuse and one leg of the two triangles are congruent, then the triangles are congruent. The correct option is D, HL.

What is the HL theorem?

According to the HL theorem, If the hypotenuse and one leg of the two triangles are congruent, then the triangles are congruent. therefore, the hypotenuse will be congruent to each other, and the corresponding sides will be congruent to each other.

In the two of the given triangle, ΔPQR and ΔSTU, the following things can be seen,

PR ≅ SU (Leg of the triangle)

RQ ≅ TU (Hypotenuse)

Also, since the two of the triangles are right angle triangle, and the length of the one leg of the two triangles is equal, also, the hypotenuse of the two triangle is equal. Therefore, Using the HL postulate. The two triangles can be said to be congruent.

Hence, the triangle congruence criterion can be used to prove that PQR and STU are congruent is HL Congruency.

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A bus holds 39 passengers. How many buses will 420 people need

Answers

Answer:

11 buses

Step-by-step explanation:

Solve (x - 2 < 5) ∩ (x + 7 > 6).

Ø
{x | x < -1 x < 7}
{x | -1 < x < 7}

Answers

Answer:

Step-by-step explanation:

x - 2 < 5 Add 2 to both sies

x < 7

x + 7 > 6 Subtract 7 from both sides.

x > 6 - 7

x > - 1

Answer -1 < x < 7

The second choice is the answer.

What is the value of y in this figure?

Y =

Answers

Answer: 163

Step-by-step explanation: y is vertical to 163, meaning that it is equal to 163

which of the following is equivalent to 1/6 to the power of negative 4?

Answers

$(\frac{1}{6})^{-4}$$\frac{1^{-4}}{6^{-4}}=\frac{6^4}{1^4}=\frac{6^4}{1}=6^4=1296$

the answer is 1296 =6^4

Find the range, standard deviation and the variance of 7,9,14,16,22,23

Answers

Given

7,9,14,16,22,23

Range = Maximum score - minimum score

Range= 23-7=16

Standard deviation is defined as the average amount a number differs from the mean.

$Average=\frac{7+9+14+16+22+23}{6}=\frac{91}{6}=15.167$

1.congruent 2.neither 3.similar

Answers

Answer:

hey mate they are congruent by SSS criteria

If the graph y= x^2 it’s coefficient of x^2 is multiply by 4 what change is in the graph

Answers

9514 1404 393

Answer:

vertically stretched by a factor of 4

Step-by-step explanation:

Each point on the graph is 4 times the distance from the x-axis than it was formerly. The graph is stretched vertically by a factor of 4.

_____

Additional comment

Here, the transformation g(x) = 4f(x) for f(x) = x² is fully equivalent to g(x) = f(2x). The latter represents a horizontal compression by a factor of 2. That is, each point on the graph moves to half its previous distance from the y-axis.

If the graph y= x^2 its coefficient of x^2 is multiply by 4 what change is in the graph

An item on sale costs 65% of the original price. The original price was $87.

Answers

Answer:

Original price= $87

Selling price= 65/100 ×87

Step-by-step explanation:

65/100 = 0.65

0.65 × 87

$56.55

Thus, Selling price = $56.55

Write the following powers of 6 exponential form: 6 x 6

Answers

The exponential form of 6 × 6, is written as: 6².

How to Write an Expression in Exponential Form?

Repeated multiplication involving base exponents and base can be written in exponential form, such as: a × a × a = a³.

Given the expression, 6 × 6, the number 6 will be the base while 2 will be the exponent if we want to express it in exponential form. Therefore:

6 × 6 = 6².

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What is the value of x in the equation 1/5x - 2/3y = 30 when y = 15?
4
8
80
200

Answers

Answer: x = 200
Process:
1/5x- 2/3y = 30
1/5x - 2/3(15) =30
1/5x - 10 = 30
1/5x = 40
x = 200

Answer:

x = 200

Step-by-step explanation:

To find the value of x when y = 15, we can plug in 15 for y and solve for x:

$\frac{1}{5}x-\frac{2}{3}(15)=30\\ \frac{1}{5}x-10=30\\ \frac{1}{5}x=40\\ x = 200$

Let $f(x)=2(3)^x^+^1$. Evalulate $f(2)$ without using a calculator. Do not include $f(2)$ in your answer.

Answers

$f(x)=2(3)^{x+1} \\\\[-0.35em] ~\dotfill\\\\ f(2)=2(3)^{(2)+1}\implies f(2)=2(3)^3\implies f(2)=2(3^3) \\\\\\ f(2)=2(27)\implies f(2)=54$

Let me just mathematically give somebody 75 points

Answers

is this a question or??

Answer:

dang

Step-by-step explanation:

nice

The following are the annual incomes (in thousands of dollars) for 8 randomly chosen, U.S. adults employed full-time.
44, 44, 54, 54, 65, 39, 54, 44
Send data to calculator
(a) What is the mean of this data set? If your answer is not an
integer, round your answer to one decimal place.
(b) What is the median of this data set? If your answer is not
an integer, round your answer to one decimal place.
(c) How many modes does the data set have, and what are
their values? Indicate the number of modes by clicking in the
appropriate dircle, and then indicate the value(s) of the
mode(s), if applicable.
0
Zero modes
one mode:
Two modes:

Answers

Answer:

(a) To find the mean of the data set, sum up all the values and divide by the total number of values.

44 + 44 + 54 + 54 + 65 + 39 + 54 + 44 = 398

Mean = 398 / 8 = 49.75

Rounded to one decimal place, the mean of this data set is 49.8.

(b) To find the median of the data set, i need to arrange the values in ascending order first:

39, 44, 44, 44, 54, 54, 54, 65

The median is the middle value in the sorted data set. In this case, we have 8 values, so the median is the average of the two middle values:

(44 + 54) / 2 = 98 / 2 = 49

Rounded to one decimal place, the median of this data set is 49.0.

In this case, the mode refers to the value(s) that occur(s) with the highest frequency.

From the data set, i see that the value 44 appears three times, while the value 54 also appears three times. Therefore, there are two modes: 44 and 54.

How do I solve this problem? Write an equation in slope intercept form, if that is not possible write it in standard form. 30. Passes through the point (-3,11) and is parallel to the line y=8

Answers

NSWER

y = 11

EXPLANATION

wo lines are parallel if they have the same slope and diffenrent y-intercepts.

In this case, we have to write the equation of a line parallel to the line y = 8, which is a line with a slope of 0 - i.e. it is a horizontal line. Therefore, the equation of the line we have to find must have the same form - y equal to a constant. This constant is the y-coordinate of the point where the line must pass through, (-3, 11).

Hence, the equation of the described line is y = 11.

Please answer and explain both in laymens terms

Answers

After considering the given data we come to the conclusion that the area to the left of z is 0.982, which is Option D. And the standard deviation of the given data is 87.6, which is Option C.

In order to calculate the area to the left of z=2.09 we have to apply the z-table:
1. Search for the row that starts with "2.0" in the leftmost column of the z-table.
2. Then for the column that starts with "0.09" in the top row of the z-table.
3. Here the value at the intersection of this row and column is 0.9821.
4. Finally round this value to three decimal places to get 0.982.
Hence , the area to the left of z=2.09 is 0.982.

Now for the second part of the question
Applying the given data set {10, 26, 84, 48, 250, 56}, we can evaluate the standard deviation as follows:

1. Evaluate the mean:
mean = (10 + 26 + 84 + 48 + 250 + 56) / 6 = 74
2. Applying subtraction of the mean from each data point:
{10 - 74, 26 - 74, 84 - 74, 48 - 74, 250 - 74, 56 - 74}
= {-64, -48, 10, -26, 176, -18}
3. Applying square of the result of step 2:
{(-64)², (-48)², (10)², (-26)², (176)², (-18)²}
= {4096, 2304, 100, 676, 30976, 324}
4. Exercising summation of the result of step 3:
4096 + 2304 + 100 + 676 + 30976 + 324
= 38176
5. Applying division of the result of step 4 by the number of data points (n):
standard deviation = √(38176 / (6 -1))
= √7625.2)
≈ 87.6.
Therefore, the answer is 87.6
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The diagram shows a circle drawn inside a square.
The circle touches the edges of the square.
12 cm
Calculate the shaded area.
Take pie to be 3.142 and write down all the digits given by your calculator.

Answers

Answer:

144 - 36×3.142 = 30.888

30.888 ÷4 = 7.722

What is the exponential function of Y 3x?

Answers

The range of the function y = 3x is y(0 to +∞), while the domain of the function is x(-∞ to +∞). The value of y approaches zero, which is on the LHS of the function's graph, while the value of x moves towards -∞.

What is Function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.

Given function y = $3^x$ is an exponential function the graph for this function is given ;

The range of the function y = 3x is y(0 to +∞), while the domain of the function is x(-∞ to +∞)

The value of y approaches zero, which is on the LHS of the function's graph, while the value of x moves towards -∞.

As x approaches +∞ the function y also approaches +∞.

Since, the exponential function y = 3x is graphed, with the domain being (-∞ to +∞) and the range being (0 to +∞).

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What is the exponential function of Y 3x?

A 12.000-gallon pool is being filled at a rate of 40 gallons per minute. At this rate, how many minutes will it take to fill this pool 3/4 full?

Answers

Answer:

Step-by-step explanation:

A cruise ship can cover 19 nautical miles in 437 minutes. How many nautical miles will it travel in 345 minutes?

Answers

The cruise ship will travel approximately 15 nautical miles in 345 minutes.

How did we get the value?

Use a proportion to solve this problem. Let "d" be the number of nautical miles the cruise ship will travel in 345 minutes. Then:

19 nautical miles / 437 minutes = d nautical miles / 345 minutes

To solve for "d", cross-multiply:

19 nautical miles x 345 minutes = d nautical miles x 437 minutes

Then, divide both sides by 437 minutes to isolate "d":

d nautical miles = (19 nautical miles x 345 minutes) / 437 minutes

Simplifying this expression, we get:

d nautical miles = 15 nautical miles (rounded to the nearest whole number)

Therefore, the cruise ship will travel approximately 15 nautical miles in 345 minutes.

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5. The science class is raising monarch caterpillars.
One of the caterpillars weighs 2.3 ounces.
About how many grams does the caterpillar
weigh? Round to the nearest tenth.

Answers

Answer:

65.2 g

Step-by-step explanation:

1 ounce is approximately 28.35 grams. So, 2.3 ounces is ...

(2.3 oz) × (28.35 g/oz) ≈ 65.2 g

The caterpillar weighs approximately 65.2 grams.

_____

Additional comment

The exact conversion is 1 oz = 28.349523125 g. For a 3-significant figure answer, we only need a conversion factor accurate to 4 significant figures.

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