**-2/3, -0.5, -1.5, -4/9**

**Of the number listed above, which number is the greatest?**

-0.5

-4/9

-1.5

-2/3

*Correct Answer : B*

Before finding the greatest number from the data set, the numbers need to be in fraction form.

-0.5=-5/10

-1.5=-15/10

The set of numbers becomes -2/3, -5/10, -15/10, -4/9

Now the least common denominator for 3, 10, and 9 is 90, which will be used to multiplied by the given fractions as follows:

-2/3*90=-60

-5/10*90=-45

-15/10*90=-135

-4/9*90=-40

From the above evaluations, the resulting numbers arranged from the smallest to the largest is -135, -60, -45, -40. Thus, the greatest number from the data set is -40, with a corresponding fraction of -4/9.

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Related Questions

### Correct Answer is A

#### Explanation

Given the equation A(f)=92+2f

To find the value of A(f), we need to manipulate the value of f. In this case, f is the independent variable while A(f) is the dependent variable.

### Correct Answer is A

#### Explanation

we are asked to find the number of gallons a full tank can hold. A full tank is equivalent to 1.

Convert the mixed fraction into proper fraction as follows

(2frac{2}{5}=frac{left(2ast5 ight)+2}{5}=frac{10+2}{5}=frac{12}{5})

If we let x be the number of gallons in full tank, and setting up the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.

(frac{x gallons}{1 full tank}=frac{frac{12}{5} gallons}{frac{4}{7}full tank})

Cross-multiply to find the value of x.

(frac{x }{1 full tank}=frac{frac{12}{5} gallons}{frac{4}{7}full tank})

(x astfrac{4}{7}full tank=frac{12}{5} gallonsast1 full tank)

(x =frac{frac{12}{5} gallonsast1 full tank}{frac{4}{7}full tank}=frac{12}{5}divfrac{4}{7} gallons=frac{12}{5}astfrac{7}{4}gallons=frac{21}{5}gallons)

Converting 21/5 to a mixed fraction is 4 1/5. Thus, when the tank is full, it holds 4 1/5 gallons of water.

### Correct Answer is B

#### Explanation

We are asked to determine Japheth’s uncle’s age relating to Japheth’s age.

First, express Japheth’s uncle’s age in terms of Japheth’s age as follows

Japheth’s age=k

Japheth’s uncle’s age, u = 3k-10.

Thus, the relationship between Japheth’s uncle’s age to that of Japheth is u=3k-10.

### Correct Answer is A

#### Explanation

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

Two friends eat half of the pizza, which is Â½

And the remaining amount of pizza,Â

Now, the other three friends share Â½ amongst themselves equally. Then, each friend gets

The other three friends each gets 1/6 of the pizza.

### Correct Answer is B

#### Explanation

Based on the given scenario, the outcome of measuring the daily dollar rate is the decline in investment, stock prices, and forex exchange. The three outcomes are dependent variables while the dollar rate is the independent variable.

### Correct Answer is B

#### Explanation

P-At=-kr

Subtract P on both sides

P-P-At=-kr-P

-At=-kr-P

Divide both sides by -t

-At/-t=(-kr-P)/-t

A=(kr+P)/t

### Correct Answer is D

#### Explanation

The probability of finding a green ball is given by

Â

Total number of balls in the bag=6+8+3=17 balls

Therefore, the probability of drawing a green ball from the bag containing 17 balls is 6/17.

### Correct Answer is A

#### Explanation

To find the cheapest option, we find the amount the consume will spend for each option given.:

- 2 packs of Orange and 1 pack of Cream Soda will cost $16+$5= $21
- 3 Packs of Orange will cost $16+$12=$28
- 2 packs of Root Beer and 1 pack of Cream Soda will cost 2($15)+$7=$37
- 5 packs of cream Soda will cost 5($7)=$35

From the above evaluation, the cheapest option will cost the consumer $21. Thus, buying 2 packs of Orange and 1 pack of Cream Soda will be cheaper to purchase compared to other options.

### Correct Answer is C

#### Explanation

We follow the order of operations to solve the given expression. The order of operations is PEMDAS:

- Parentheses
- Exponents
- Multiplication and Division (in order from left to right)
- Addition and Subtraction (in order from left to right)

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

[3(6+5*4)]

We start with multiplication in parenthesis, 5*4=20. The expression becomes

[3(6+20)]

Then, we conduct the addition in parenthesis 6+20=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

The expression reduces into 6.

### Correct Answer is B

#### Explanation

The percentage change in weight is found in three steps below:

Absolute change in weight=final weight-initial weight

Absolute change in weight=(left|120-153 ight|=left|-33 ight|=33)

Relative change in weight=*(frac{absolute change}{initial weight}=frac{33}{153}=0.216)*

Percent change=relative change * 100%

Percent change=0.216*100%=21.6%

The percent change in weight lost is 21.6 %, which is about 22%.

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