Soft Drinks

Orange

Two 24-packs for $15; one 24-pack for $9

Root Beer

One 24-pack for $14

Cream Soda

One 12-pack for $3

A consumer needs to purchase at least 50 soft drinks for a picnic. Which of the following combinations is the most cost-effective?

The weight of the knife could be appropriately expressed in grams. Since a knife is a small object, we do not expect to measure its weight in kilograms. Liter and milliliter are units of measuring the volume of objects.

To find the cheapest option, we find the expenditure on each given option.:

2 two-24 packs of Orange and 1 pack of Cream Soda=2($15)+$3=$33

3 one 24-pack of Orange=3($9)=$27

2 packs of Root Beer and 1 pack of Cream Soda=2($14)+$3=$31

5 packs of cream Soda=5($3)=$15

Spending 5 packs of cream soda is the cost-effective option.

 To find the minimum length requires, we need to understand what slope in the question represents. The slope represents the ratio between the height to the length. Let x be the minimum length of the ramp. Then,

Now, we find the value of x by cross-products as follows

Thus, the minimum length required to provide access is 60 feet.

Given the equation F(z)=9z+28

To find the value of F(z), we need to vary the value of z. In this case, z is the independent variable while F(z) is what we measure, which is the dependent variable.

the mean of a data set is the total scores divided by the number of tests.

Total test scores =80+68+74+87+96=405

Number of tests =5

Mean test score =405/5=81

The mean test score is 81.

We follow the order of operations to solve the given expression.

First, we start with the numerator and solve it as follows

[3(2+6*4)]

We start with multiplication in inner brackets, 6*4=24. The expression becomes

[3(2+24)]

Then, we conduct the addition of 2+24=26. Then, the expression becomes

[3(26)]=3*26=78

Now, we solve for denominator, which is 26/2=13.

Thus, the expression is reduced into

\(\frac{[3(2+6\ast4)]}{(26\div2)}=\frac{78}{13}=6\)

The expression reduces into 6.

To find the area of the room, we form an equation of find an equation relating the length and width of the rectangle. If we let the width of the room to be w, then

Width of the rectangle= w

Length of rectangle=(w+8)

Area of the rectangle, A= Length*width=(w+8)*w

A=w(w+8)

Thus, the area of the rectangular room is w(w+8).

 we use the relation 1 L=1000 mL to convert 3.9 L to mL as follows.

Thus, 3.9 L is 3900 mL.

The scatter plot showing the relationship between the number of absences in a semester and students’ final exam scores. The trend shows that as absences increase, exam scores decrease.

This represents a Negative Correlation because:

• When one variable (absences) increases, the other variable (exam score) decreases.
• The points on the scatter plot trend downward from left to right.

 we need to find the portion of pizza shared by two other friends.

We know that a whole pizza represents 1 and one friend eats half of it. So, the remaining amount left to other two friends is

Remaining fraction of the pizza=1-1/2=1/2

Now, the two friends share ½ amongst themselves equally. Then, each friend gets

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