Two friends get frozen yoghurt. The ratio of yoghurt to toppings is 4:3. If one of the friends has 4.5 oz of toppings in their bowl, which of the following is the amount of yoghurt in their desert?

The constant of proportionality is the distance traveled divided by gallons of gas consumed

Constant of proportionality = 386.4 miles/14 gallons = 27.6 miles per gallon.

To convert inches to centimeters, use the conversion factor:

1inch=2.54cm

Now, multiply:

7×2.54=17.78cm

Use the relation 1 teaspoon=4.93 mL to change 2.5 teaspoons to mL. Using the dimension analysis, the amount in mL is found as:

To solve this problem, we need to find the mean, mode, and median of the above data set.

From the data set, the mode of the data is 2 and 8. They are the most occurring elements in the data set.

The mean of data is the total divided by the number of elements

Total=1+ 1 + 2+ 2+ 2+ 2+ 3 +3+ 7+ 7+8+8+ 8+ 8+ 9+9=80

Number of elements=16

Mean=80/16=5

Median will fall in between the (N/2)th and (N/2+1)th position

(N/2)th =16/2 =8th position and (16/2+1)th =9th position

Since the data is arranged in ascending order as below

1, 1, 2, 2, 2, 2, 3, 3, 7, 7, 8, 8, 8, 8, 9, 9

Element in 8th position = 3

Element in 9th position =7

So the median average of the two elements=(3+7)/2=5

Now the data could be presented as follows in the distribution curve

This is because the data set has two modes, meaning the data is bimodal.

Use the relation 1 inch=2.54 cm to change 7 inches to cm

Thus, 7 inches is about 17.8 cm.

Determine the number of blue and yellow gumballs as follows:

Percent of blue gumballs=100%-(20%+30%+5%+10%) =100%-65%=35%

Number of blue gumballs35% of 120=0.55*120 = 42 blue gumballs [35%=35/100=0.35]

Number of yellow gumballs=5% of 120=0.05*120 = 6 yellow gumballs [5%=5/100=0.05]

Difference between the number of blue and yellow gumballs=42-6= 36 balls

Therefore, there are 36 more blue gumballs than yellow gumballs.

Standard interior doors typically range from0.7 to 0.9 metersin width and 2.0 to 2.1 meters in height. Thus, the average width of the doorway is about 1.0 m.

Let two numbers be x and y. Then

Three time a number=3x

Eight times a different number = 8y

Sum of the two is 3x+8y

The dimension of the field is shown below.

Area of rectangle = length * width

Area of rectangle = 100 m *75 m = 7500 m2

Area of the rectangle in hectares =

We use the relation 1 kg=1000 g to convert 3.193 kg to g