If the trend below continues, which of the following is the best estimate of the average price of a home in 2016?

 

The given ratio of yoghurt to toppings is 4:3, meaning:

Yoghurt : toppings =4 : 3

We are given 4.5 oz of toppings and need to find the amount of yoghurt.

Step 1: Set up the proportion

=

Step 2: Solve for yoghurt

Multiply both sides by 4.5:

yoghurt=43×4.5

yoghurt=4×4.5/3=18/3=6oz

To find the net force, we choose east direction as positive and west as negative. From this, we can present the tag of war in the diagram below.

So, the force on the dog is -190 N and that of the girl is 165 N.

The net force is the sum of the two forces

The resulting force is negative, meaning it is in the west direction. Thus, the net force is 25 N to the west.

We are given a mix of fractions and decimals and to compare the numbers, we convert the given decimals to fractions.

4.4 becomes 44/10

4.25 becomes 425/100

Now the set of fractions for comparison are: 9/2, 10/3, 44/10, and 425/100. The least common denominator for 2, 3 and 10 is 300. Then,

9/2*300=1350

10/3*300=1000

44/10*300=1320

425/10*300=1275

From the above products, 9/2 gives the greatest value when the fractions are compared with the least common denominator of the given denominators.

Percentages always add up to 100%. If we let x be the percent of graduates working for jobs unrelated to law, then

74%+3%+2%+x=100%

79%+x=100%

Subtract 79% from both sides of the equation

79%-79%+x=100%

x=100%-79%

x=21%

So, the number of graduates working for jobs unrelated to law is 21%.

The whole pie chart represents 100%, which we use together with the given percentages to find the respective different sports. Note that 100% is equal to 500 surveyed students. The, the number of teenagers who prefer:

Soccer

Hockey

Football

Basketball

Other

From the evaluations above, 90 teenagers love soccer, 80 love hockey, 190 teenagers love football, 120 teenagers love basketball, and 20 teenagers love others.

Here, the athlete runs 6 miles in 51 minutes, which can be expressed as:

Now, in 90 minutes, the athlete will cover about

Therefore, the athlete runs about 10.6 miles in 90 minutes.

to solve for x, we order like terms together and proceed as follows:

4x-3-5x=24

Add 3 to both sides of the equation

4x-3+3-5x=24+3

4x+3-3-5x=27

4x-5x=27

-x=27

Divide both sides by -1

-x/-1=27/-1

x= -27

Thus, the unknown value of x is -27

The median temperature can be found by organizing the temperature values from the smallest to the largest value as follows:

98.6, 98.7, 99.0, 99.0,99.2, 99.3, 99.7, 100.0

(for an even set of numbers, Median = frac{(frac{n}{2})th observation + (frac{n}{2} + 1) th observation}{2})

From the data set above, there are 8temperature values. The median is the temperature value in the middle position, which falls between the(frac{n}{2} th)and((frac{n}{2} + 1) th) position. Here N=8and median is found as:

(frac{(frac{n}{2})th + (frac{n}{2} + 1) th}{2} = )(frac{(frac{8}{2})th + (frac{8}{2} + 1) th }{2} = 4.5th position)

The element in the 4.5th position is the average of the 4th and 5th element.

(frac{99.0 + 99.2}{2} = 99.1)

Thus 99.1 is the median temperature.

A whole pizza is equivalent to 1. Then

One friend eats half of the pizza=1/2 of 1=1/2*1=1/2

Remaining amount of pizza to be shared=1-1/2=2/2-1/2=1/2

Now, three friends share ½ equally and each friend will get,

Thus, the three friends each share 1/6.

all products represent 100%. Then, the portion of defect products is:

0.0025 of 100%

‘of’ means multiply

0.0025 *100%=0.25%