A recipe calls for 1.5 teaspoons of vanilla. 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in mL?

Correlation of two variables falls into:

Positive correlation: an increase in one variable causes another variable to increase

Negative correlation: an increase in one variable causes another one to decrease

No correlation: a change in one variable does not cause any response in another variable.

From the given choices

Option a is no correlation

Option b is a no correlation

Option c is a negative correlation

Option d is a positive correlation

We two conversions when asked to convert between kg and lb

And

We need kg equivalent of 220 lb, therefore we use option 1 and carry out the conversions as follows:

Thus, 100kg is equal to 220lb.

We need to find the amount Lana left after spending and investing another.

Lana spends=70% of $90=70/100 * 90 = $63

Amount left after spending=$(90-63) = $27

Lana is left with $27, which she will invest and earns a profit of 60%.

Profit earned=60% of $27 = 60/100 * 27 = $16.20

Therefore, Lana will have $27 + $16.20 = $43.20

to find the average time the athlete runs in 1 mile; we find total distance and total time the athlete takes in running.

Total distance run by athlete=7+3=10 miles

Total time=45+15 =60 minutes

The athlete runs 10 miles in 60 minutes. For the athlete to cover 1 mile, he will run for a time less than 60 minutes. Thus, in 1 mile, the athlete takes:

So, in 6 minutes, the athlete covers 1 mile.

We need to find the radius of the circle from the given value of area. Then, the radius of the circle will be used to find the circumference of the circle.

The first step is to find the radius, r of the circle as

Thus, the circumference of a circle whose area is \(9\pi\ in\ ^2\)is 6 in.

We use the order of operation to solve for the unknown value of x.

3(3x+3)=8x+5

Multiply 3 with each number in the brackets

(3*3x)+(3*3)=8x+5

9x+9=8x+5

Subtract 9 from both sides

9x+9-9=8x+5-9

9x=8x-4

Subtract 8x on both sides

9x-8x=8x-8x-4

x=-4

Thus, the unknown value of x is -4.

We are required to find the doctor’s earning in 4 weeks after taking off taxes.

The first step is to find the total weekly deductions as follows:

Total weekly tax=federal income tax + state income tax + Social Security tax

Total weekly tax=$(85.00+40.00+81.00)

Total tax=$206.00

The next step is to find the weekly income after deducting total taxes

Weekly net income=gross income-total tax

Weekly net income=$(980.00-206.00)=$774.00

In one week, the net income of the doctor is $774.00 and after 4 weeks, the net income will be 4 times his weekly earning

The truck carries a whole cargo which equals 1. If we let the weight of the cargo to be p, then we set up a proportion equation with weight as numerator and fraction of cargo as denominator.

Solve for value of p by cross products

Multiply both sides by 3/2 a reciprocal of 2/3

The truck carries a cargo weighing 795 lb.

Before finding the area of the pizza, we need to find the radius of the pizza.

Find radius of the pizza in terms of diameter

Next, find area of the pizza using the radius of 6 inches

Substituting r=6 in the equation of the area of a circle

Thus, the pizza has an area of 36 π in2.

We need to form a mathematical expression from the given word problem.

Let the unknown number be x.

Thrice a number is three times = 3x

Twelve less than thrice a number = 3x-12

Thus, the mathematical expression from the word problem is 3x-12