If a box of 35 syringes costs $560.00, which of the following is the cost of two syringes?

When dealing with percent problems, the following is utilized to find the unknown variable.

• Is means equals
• Of means multiply
• What means unknown (variable)

From the problem above, we are looking for the amount of gratuity the couple can leave.

Let t be the amount of gratuity. Translating into an equation, we have

The gratuity is 15% of the total bill, which becomes

Here, of means multiply and we also convert percent into decimal before multiplying.

So, the value of t=5.76

Thus, a couple will leave a gratuity of $5.76, which is about $6.00.

we follow the order operations to solve for the unknown value of x.

2(4x+3)=7x+5

Open the bracket on the LHS by multiplying each term by 2

(2*4x)+(2*3)=7x+5

8x+6=7x+5

Subtract 6 from both sides

8x+6-6=7x+5-6

8x=7x-1

Subtract 7x on both sides

8x-7x=7x-7x-1

X=-1

Thus, the value of unknown value of x is -1.

we are needed to find the amount Lana is left with after spending and investing the rest using the given information.

Amount Lana spends = 80% of $60= 80/100 *60 = $48

Amount left to invest = $(60-48) = $12

Lana is left with $12, which she invests and earns a profit of 80%.

Profit earned = 80% of $12 = 80/100 * 12= $9.20

So, Lana will have $12 + $9.20 = $21.60

We asked to convert kg to pounds. There are two ways of converting between kg and pounds

And

Since we are asked to find pounds, we use the second option for kg to cancel during conversion as follows:

Thus, 50 kg is equal to 110 lb.

We use 1 L =1000 mL to convert between the two units. The conversion fractions of interconverting are:

And

Since we want to end up with millimeters, the second conversion is used in converting L to mL as:

Thus, 0.5 L is equivalent to 500 mL.

We need to find how many mL are in 2.5 teaspoons. We need to use dimensional analysis to solve this problem as follows.

Converting between teaspoon and mL uses the following conversions:

Or

We want to end up with mL, we utilize the second conversion and set up the following equation.

Thus, 2.5 teaspoons can hold 12.325 mL.

The length of the unknown side of the rectangle can be found by using the Pythagoras theorem. We label the triangle from the given data as shown below

Let the unknown length be x.

Applying the Pythagoras theorem, the value of x is found as:

\(a ^2 +b ^2 =c ^2\)

The unknown length of the triangle is approximately 8.9 feet.

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 negative correlation

Option c is a negative correlation

Option d is a positive correlation

to change L to mL we use the following options of interconversions:

Or

Since we are needed to change L to mL, use the second option.

Thus, a bucket can hold 3000 mL which is equal to 3 L.

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

Let the number be x.

Twice a number=2x

Five less than twice a number=2x-5

So the mathematical express from the word problem is 2x-5