Kim rode her bicycle 135 miles in 9 weeks riding the same distance each week. Eric rode his bicycle 102 miles in 6 weeks, riding the same distance each week. Which statement correctly compares the number of miles per week they rode?

A.) Eric rode 2 more miles per week than Kim rode

B.)Kim rode 3 more miles per week than Erick rode

C.) Kim rode 11 more miles per week than Erick rode

D.) Eric rode 17 more miles per week than Kim rode

Final answer:

The recipe calls for 1 1/4 cups of strawberries, which is equivalent to 5/4 cups when written as an improper fraction.

Explanation:

The question asks, "How many cups of strawberries, written as a fraction greater than one, are used in the recipe?" The recipe calls for 1 1/4 cups of strawberries. This quantity is already given in the form of a mixed number, which combines a whole number (1) and a fraction (1/4). To write it as a fraction greater than one, which is also called an improper fraction, you multiply the whole number by the denominator of the fraction and then add the numerator of the fraction. So, the calculation would be (1 × 4) + 1 = 5, making the fraction 5/4. Therefore, the recipe uses 5/4 cups of strawberries written as an improper fraction.

The sales tax rate was calculated based on the information of the first item, and we found it to be approximately 8.09%. Using this tax rate, the pre-tax price of the second item, on which the sales tax was $19.25, was found to be approximately $237.85.

To solve this problem, we first need to determine the percentage rate of the sales tax based on the first item. Given that a sales tax of $22 was applied to an item that cost $272 before tax, we can calculate the tax rate as follows: (22/272)*100 = 8.09%. This indicates that the tax rate is approximately 8.09%.

Next, if we assume that the sales tax rate is the same for the second item, we can calculate the pre-tax price of this item. Given that the sales tax on the second item is $19.25, the price of the item before tax can be calculated as follows: 19.25/0.0809 = $237.85 approximately. Therefore, the second item costs about $237.85 before tax.

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Here the total amount of the juice is 24 ounces. Diego poured equal amounts to his three friends. But that equal amount is unknown. Then he add 6 to each that is represented by x +6. Hence, the x is the initial amount poured to each three friends.

A polynomial expression is composed of some coefficients and indeterminants that involves basic basic arithmetic operations. Where the indeterminants or unknowns are basically represented by the letters x or y.

Here, Diego has 24 ounces of juice. He pours equal amounts of juice to his three friends. The mount he poured to each friends is unknown here. Hence, let it be x.

Then, he added 6 more ounces to each these x quantity that is represented by x + 6. Now, 3 friends have this x + 6 ounces of juice then total equals 24.

i.e, 3 (x + 6) = 24

3x +18 = 6

3x = 24- 18 = 6

x = 6/3 = 2.

Hence, here, x represents that Diego poured initially to each friends before adding 6 more ounce.

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Final answer:

In the story problem, x represents the initial amount of juice in ounces (2 ounces) that Diego pours for each of his three friends before adding an additional six ounces to each.

Explanation:

In the given story problem, x represents the initial amount of juice in ounces that Diego pours for each of his three friends before adding six more ounces to each. To understand what x represents, let's explore the equation 3(x + 6) = 24. This equation tells us that Diego has 24 ounces of juice in total, which is then divided equally among his three friends and after the division, he adds six more ounces to each friend's portion.

Now, if we follow the equation 3(x + 6) = 24 and solve for x, we find that:

This means that Diego initially pours 2 ounces for each friend and then adds 6 ounces to each, totaling 8 ounces for each friend.

As we can see from the table there is a pattern to the whole data in the table. A closer look reveals that when we multiply the number of students, n by the cost per student, c we get a constant number, 72. Let us see what we mean here:

Thus, the function which models the data is the [tex]nc=12[/tex].

Now, let us move on to the next part of the question:

If 12 students go on the trip then the cost per student as per this model will be:

[tex]\frac{72}{12}=6[/tex] dollars=$6

Therefore, out of the given options, the option the correct option is number B.

Answer:

nc=72,6$

Step-by-step explanation:

Answer:

4/8

Step-by-step explanation:

Answer:

The rate of change is obviously that term that describe the change over a certain period. In this problem, we are given with the condition that LaToya is able to burn 20 calories per minute. Therefore, the rate of change is 20 calories per minute.  

Step-by-step explanation:

Answer: 250 coins

Step-by-step explanation:

Betsy has 25 quarters

let quarters = q

nickels = n

pennies  =  p

n = 3q = 3*25 = 75

p = 2n = 2* 75 = 150

she has total  of 25 + 75 + 150= 250 coins

Answer:

1.

Q: What is the purpose of a scatter plot?

A: B. To help visualize the relationship between two types of data.

2.

Q: What is Microsoft Excel particularly well-suited for?

A: D. organizing data

3.

Q: Which type of data is presented on the y-axis?

A: B. Credit card debt

4.

Q: How many people are presented on the scatter plot?

A: C. 13

5.

Q: Which of the following choices could be the approximate coordinates for the oldest person on the scatter plot?

A: A. (58, $7,800)

Just took it! 5/5 100%

Credit card debt is the type of data is presented on the y-axis

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

We need to find the type of data presented on the y axis.

The given graph is a scatter plot.

A scatter plot uses dots to represent values for two different numeric variables.

The vertical line in the graph represents the y axis.

The horizontal line in the graph represents the x - axis.

In the given graph, the age is represented in the x axis and credit card debit is represented on the y-axis.

Hence, Credit card debt is the type of data is presented on the y-axis

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Answer:

The terms apply to the given shape are pentagon, irregular polygon and convex polygon.

Step-by-step explanation:

A polygon which have 5 sides called pentagon and if these sides are unequal then it is irregular pentagon or we can say irregular polygon.

A convex polygon is defined as a polygon with all its interior angles less than 180°.

Hence, the terms apply to the given shape are pentagon, irregular polygon and convex polygon.

Answer: Your answer is

convex, pentagon, irregular polygon.

Hope this helps!!! Trust me it's right I got mine right!!

Answer:

no solution :)

Step-by-step explanation:

Final answer:

Explanation of the probabilities of choosing two vowels and two consonants from the English alphabet without replacement.

Explanation:

The probability of choosing two vowels:

There are 5 vowels in the English alphabet: a, e, i, o, u.

The total number of ways to choose 2 letters out of 26 is C(26, 2) = 325.

The number of ways to choose 2 vowels out of 5 is C(5, 2) = 10.

Therefore, the probability of choosing 2 vowels is 10/325 = 2/65.

The probability of choosing two consonants:

The total number of ways to choose 2 consonants out of the remaining 21 letters is C(21, 2) = 210.

Therefore, the probability of choosing 2 consonants is 210/325 = 42/65.

-4 + 3/2=

Exact Form:

-5/2

Decimal Form:

-2.5

Mixed Number Form:

-2  1/2

Answer:

[tex]\frac{-5}{2}[/tex], [tex]-2\frac{1}{2}[/tex], -2.5

Step-by-step explanation:

So what we want to do is get both of the numbers into the appropriate fraction. So we already have 2 as a fraction so lets just convert -4 into fraction form with a denominator as 2.

[tex]-4+\frac{3}{2}[/tex]

-4 in fraction form is [tex]\frac{-8}{2}[/tex]

We can determine that it is in the right fraction form as if you divide -8 by 2, you would get -4 as the answer so...

[tex]-4 = \frac{-8}{2}[/tex]

Now rewrite the equation now

[tex]\frac{-8}{2} + \frac{3}{2}[/tex]

Now simplify

-8 + 3 = -5

[tex]\frac{-8}{2} + \frac{3}{2}[/tex][tex]= \frac{-5}{2}[/tex]

-5/2

This can be simplified to [tex]-2\frac{1}{2}[/tex]

Or to the decimal form which is -2.5

General Idea:

Pythagorean theorem states that in a right triangle, if side of triangle is given by ' a ', bottom of the triangle is given by ' b ' and hypotenuse of triangle is given by ' c', then Sum of squares of a and b is equal to the square of hypotenuse.

[tex] a^{2} \; +\; b^{2}\; =\; c^{2} [/tex]

Applying the Concept:

[tex] Given\\Side\;of\;triangle\;(a)\; =\; 8\\ Bottom\;of\;triangle\;(b)=15\\ \\ To\; Find\\Hyptotenuse\;(c)\\ \\ a^{2}+b^{2}=c^{2}\\ 8^2+15^2=c^2\\ \\ 64+225=c^2\\ \\ 289=c^2\\ \\ c^2=289\\ Taking \; Square\;root\;on\;both\;sides\\ \\ \sqrt{c^2}=\sqrt{289} \\ \\ c=17 [/tex]

Conclusion:

The length of the missing side of the right triangle, when side 8 & bottom 15 is 17. The correct answer is option B!!

The tree is 15 feet tall

The tree in Pedro's front yard was 5 ft tall last year.

This year, the tree is 2 feet less than the height of Pedro's house.

let

the height of the tree = x

Therefore,

height of the house = 17 feet

17 - 2 = x

x = 15 ft

Therefore, the tree is 15 feet tall

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The tree in Pedro's front yard is currently 15 feet tall, which is 2 feet shorter than the height of Pedro's 17 feet tall house.

Last year, the tree in Pedro's front yard was 5 feet tall. This year, the tree is 2 feet shorter than the height of Pedro's house. If Pedro's house is 17 feet tall, we need to calculate the tree's current height by subtracting 2 feet from the height of the house. Therefore, the tree's current height would be 17 feet - 2 feet = 15 feet tall.