A recipe calls for 3.4 teaspoons of milk. 1 teaspoon equals approximately 5 mL. Which of the following is the correct amount of milk in mL?

We are tasked to find the unknown values of x in the given equation.

First, we add 8 to both sides of the equation.

Next, we apply the absolute rule:

If   , a>0, then u=a or u=-a

From our resulting equation, a=14, which is greater 0. Then, the first condition (u=a) becomes

Solving for x

The second condition (u= -a) becomes

Solving for x

Thus, the value of x is 4 or -3

We are asked to find the fraction of pizza the three friends shared equally.

First, the whole pizza is represented by 1. If one friend ate a quarter of the pizza, then:

First friend eats =1/4 of 1=1/4*1=1/4

Remaining fraction of the pizza=1-1/4=3/4

Now, the three friends share 3/4 amongst themselves equally. So, each friend gets

The three friends each gets 1/4 of the pizza.

To find the greatest number from the given set, we first convert the decimal numbers into fractions.

12.35 becomes 1235/100

11.46 becomes 1146/10

Then, the LCM for the denominators of the given fractions of 2, 100, 3 and 10 is 300. Now we multiply each fraction with 300, which we will use to compare the give set.

25/2*300=3750

1235/100*300=3705

40/3*300=4000

1146/10*300=3438

From the calculated values, 4000 is the greatest value. Then, 40/3is the greatest value.

We are asked to make z the subject of the formula.

First, we subtract y/x from both sides of the equation

Thus, the formula for finding the value of z is  .

Choice A: 2 packs of Orange and 2 packs of Cream Soda

• Total drinks: 48 + 24 = 72 drinks
• Total cost: (2 * $15) + (2 * $5) = $30 + $10 = $40
• This choice not only meets the requirement of at least 60 drinks but also offers the best value in terms of cost per drink, making it the most cost-effective option.

Choice B: 3 packs of Root Beer

• Total drinks: 3 * 24 = 72 drinks
• Total cost: 3 * $14 = $42
• While this choice meets the requirement of at least 60 drinks, it's not the most cost-effective, as it costs $42for 72 drinks.

Choice C: 1 pack of Orange, 2 packs of Root Beer, and 1 pack of Cream Soda

• Total drinks: 24 + 48 + 12 = 84 drinks
• Total cost: $9 + (2 * $14) + $5 = $9 + $28 + $5 = $42
• This choice provides more than 60 drinks, but it's not the most cost-effective due to its higher cost of $42, same as choice B.

Choice D: 4 packs of Cream Soda

• Total drinks: 4 * 12 = 48 drinks
• Total cost: 4 * $5 = $20
• While this choice is the most cost effective, it falls short of providing the desired number of drinks.

notice that the question compares the cup of flour and the cup of milk. We can therefore set up our ratios as cup of floorcup of milk. If we let the x be the number of cups of milk needed, then

As a mixed fraction, 70/3 becomes 23 1/3, which represents the number of cups of milk needed to make a big batch of 5 cups.

we are asked to find the number of gallons a full tank holds. A full tank is treated as 1 whole.

Letting x be the number of gallons in full tank and setting the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.

Convert the mixed fraction into proper fraction and cross-multiply to find the value of x.

x 1 full tank=185 gallons23full tank

A full tank holds 27/5 gallons, which when converted to a mixed fraction is 5 2/5.

we use the relation 1 L=1000 mL and organize our equation in such a way that L cancels as:

Thus, 0.65 L is 650 mL.

This problem asks us to compare the number of dimes to nickels.

If we let p be number of pennies in the bottle. Then,

Number of quarters in the bottle = 4p

Number of nickels in the bottle = 2p

Number of dimes in the bottle =7(2p)=14p

To find the number of dimes the child has than nickels, we use the ratio:

\(\frac{Dimes}{nickels} =\frac {14p}{2p}\ =\ 7\)

Thus, there are 7times as many dimes as nickels in the box.

We are asked to convert kg to pounds using the given relation. If we let x to represent the lb we are asked to find, we set the proportion equation with kg on numerator and lb on the denominator as follows.

The equivalent value of 55kg is 121 lb.