A child has collected 100 pennies, 90 nickels, 50 dimes, and 5 quarters. Which of the following charts accurately organizes the number of coins?

Chart 1

Chart 2

Chart 3

Chart 4

To find the pounds equivalent of the kg given, we use the two options as given below.

OR

Since we want to remain with pounds, we use the second option and set up the equation below.

Thus, 65 kg is equal to 143 lb.

To find the median of a data set, we need to first order the data from least to greatest, then find the middle value.

Step 1: Order the data from least to greatest:

The original data set is:

12,19,7,14,22,26,15

Ordered from least to greatest:

7,12,14,15,19,22,26

Step 2: Find the middle value

Since there are 7 numbers (an odd number of data points), the median will be the middle value, which is the 4th number in the ordered list.

7,12,14,15,19,22,26

The middle value is 15.

Conclusion:

The median of the data set is 15.

The correct answer is B. 15.

We use the relation 1 L=1000 mL to convert L to mL.

The two options for converting between L and mL are

And

We use the first option to convert 6.5 L to mL as follows:

Thus, 6.5 L is 6500 mL.

Before finding the greatest number from the data set, the numbers need to be in fraction form.

-0.5=-5/10

-1.5=-15/10

The set of numbers becomes -2/3, -5/10, -15/10, -4/9

Now the least common denominator for 3, 10, and 9 is 90, which will be used to multiplied by the given fractions as follows:

-2/3*90=-60

-5/10*90=-45

-15/10*90=-135

-4/9*90=-40

From the above evaluations, the resulting numbers arranged from the smallest to the largest is -135, -60, -45, -40. Thus, the greatest number from the data set is -40, with a corresponding fraction of -4/9.

To find the amount of vanilla in mL, use dimensional analysis of the units of measurements.

Two ways to convert between teaspoon and mL are:

Since we are required to find the amount in mL, we use a cionverstioon that will result in mL. Inspecting the above options, we use the second option and set up an equation in way the unwanted units cancel out and leave the wanted unit we are looking for. Then,

Thus, a recipe of 3 teaspoons equals 14.79 mL.

To find the circumference of a circular garden, we can use the formula:

C=π×d

Where:

• C = Circumference
• π = 3.14 (as given)
• d = Diameter

Step 1: Substitute the given values into the formula

The diameter d is 14 metres, so:

C=3.14×14

Step 2: Perform the multiplication

C=43.96 metres

Final Answer:

The circumference of the garden is 43.96 metres.

The correct answer is B. 43.96 metres.

We are asked to find the number of cups of flour that will be used to make 90 cookies.

First, we convert 2 ¼ into improper fraction as:

Letting x to be the number of cups of flour, we set up a proportion equation with number of cookies on numerator and number of cups of flour on the denominator becomes:

Solve the value of x by cross-products

Dividing both sides by 60, the above equation result to

Thus, the number of cups of flour needed to make 90 cookies is 81/16 cups, which is equal to 5 1/16 cups.

A. A=w(2w+1)

Explanation

The area of a rectangle is given by the formula:

A=length×width

Given that the length is one more than twice the width, we can express it as:

Length=2w+1

The width is simply w.

Now, substituting these into the area formula:

A=w(2w+1)

Thus, the correct answer is:

A=w(2w+1)

P-At=-kr

Subtract P on both sides

P-P-At=-kr-P

-At=-kr-P

Divide both sides by -t

-At/-t=(-kr-P)/-t

A=(kr+P)/t

Given:

• 2 teaspoons of baking powder for every ½ cup of flour.
• We are using 5 cups of flour.

Step 1: Determine how many teaspoons are needed per cup of flour.

Since the recipe calls for 2 teaspoons for every ½ cup of flour, the number of teaspoons required for 1 full cup of flour would be:

2 teaspoons×2=4 teaspoonspercup.

Step 2: Calculate how many teaspoons are needed for 5 cups of flour.

Now, multiply the number of teaspoons needed for 1 cup of flour by 5:

4 teaspoonspercup×5 cups=20 teaspoons.

Thus, the number of teaspoons of baking powder needed for 5 cups of flour is 20 teaspoons.

Therefore, the correct answer is D. 20 tsp.