A child has a bottle full of pennies, nickels, dimes, and quarters. There are twice as many quarters as pennies, three times as many as nickels as pennies, and six times as many dimes as nickels. How many more dimes does the child have than quarters?

The median of a data set is a number that falls in the middle of the data set. To find the median, the numbers in the data set are arranged from the smallest to the largest. In the given data set, the organized arrangement is:

-5, -1, 0, 3, 9

There are five elements in the data set, and the median falls in the third position from either side. Thus, 0 falls in the third position.

To convert millilitres (mL) to litres (L), we use the fact that:

1 L=1000 mL

So, to convert 2,500 mL to litres:

=2.5 L

Thus, the patient needs 2.5 litres of saline.

The correct answer is C. 2.5 L.

To find the cheapest option, we find the amount the consume will spend for each option given.:

• 2 packs of Orange and 1 pack of Cream Soda will cost $16+$5= $21
• 3 Packs of Orange will cost $16+$12=$28
• 2 packs of Root Beer and 1 pack of Cream Soda will cost 2($15)+$7=$37
• 5 packs of cream Soda will cost 5($7)=$35

From the above evaluation, the cheapest option will cost the consumer $21. Thus, buying 2 packs of Orange and 1 pack of Cream Soda will be cheaper to purchase compared to other options.

The polling organization has an average ratio of 2 answered calls for every 15 attempted calls. To find the expected number of answered calls for 150 attempted calls, we can set up a proportion based on this ratio.

Step 1: Set up the proportion

The ratio of answered calls to attempted calls is:

=

Where x is the number of expected answered calls for 150 attempted calls.

Step 2: Solve for x

Cross-multiply to solve for x:

2×150=15×x

300=15x

X =

x = 20

Conclusion:

The expected number of answered calls for 150 attempted calls is 20 calls.

The correct answer is C. 20 calls.

we find the value of x by applying the absolute conditions to the given equation.

First, add 2 to both sides of equation

The absolute conditions are:

If   , a>0, then u=a or u=-a

In this case a=10, which is greater 0.

The first condition becomes

Add 2 to both sides of the equation

Divide both sides by 4

The second condition becomes

Add 2 to both sides of the equation

Divide both sides by 4

Then, the value of x is 3 or -2.

We are tasked to find the stock price on Thursday from the given information. Here, we need to find the stock of each day from the price increase or decrease. If the price increases, we add to the previous day’s price and subtract if the price decreases.

Monday’s stock price=$65.50

Tuesday’s stock price is Monday’s plus $1.50=65.50+1.50=$67.00

Wednesday’s stock price went down by $2.57 from Tuesday’s=67.00-2.57=$64.43

Thursday’s stock price went up by $2.25 from Wednesday’s =64.43+2.25=$66.68

From the above evaluation, the stock price on Thursday was $66.68

We use the given slope to find the minimum length of the ramp. In this case, slope is the ratio of height to length of the lamp. Thus,

If we let x be the minimum length of the ramp. Then,

Substituting the value of slope into the above equation results in,

Solve for value of x by cross-products

X = 18 Feet

Thus, the minimum length of the ramp needed to provide access to a door that is 1.5 high is 18 feet.

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.

The length of the chair could be appropriately measured in centimeters. Kilometers are used to measure long distances while micrometers could be used to measure the length of small microorganism in microbiology lab. However, milligrams are used to measure the masses of small quantities.

we need to find the portion of pizza shared by other three friends.

Two friends eat half of the pizza, which is ½

And the remaining amount of pizza, 

Now, the other three friends share ½ amongst themselves equally. Then, each friend gets

The other three friends each gets 1/6 of the pizza.