Which of the following fractions is between 2/3 and 4/5

We are given:

• Monthly income: $2,586.00
• Deductions:
  • Insurance: $517.20
  • Federal taxes: $299.33
  • Social security: $156.69
  • State taxes: $99.77

Step 1: Add all deductions

517.20+299.33+156.69+99.77=1,072.99

Step 2: Subtract from gross income

2,586.00−1,072.99=1,513.01

Correct answer: C. $1,513.01

We're told the relationship is proportional and that the point (7, 157.5) lies on the line, meaning:

7 hours → $157.50

To find the hourly rate, divide total earnings by hours:

157.5/7=22.5

So, the employee earns $22.50 per hour.

Correct answer: D. Manaf earns $22.50 per hour

Let's briefly rule out the others:

• A. 22.5 hours is not mentioned in the original data.
• B. $7/hour is incorrect.
• C. $157.50/hour is incorrect (it's the total, not the rate).

We are given:

• 1 teaspoon ≈ 4.93 mL
• The recipe calls for 2.5 teaspoons

Step 1: Multiply

2.5×4.93=12.325 mL

Correct answer: B. 12.325 mL

Let's convert all the values to decimals for easy comparison:

• A. 4.4 → already in decimal
• B. 4.25 → already in decimal
• C. 10/3 = 3.33...
• D. 9/2 = 4.5

Compare all values:

• A: 4.4
• B: 4.25
• C: 3.33
• D: 4.5

Correct answer: D. 9/2 (which equals 4.5, the greatest value)

We’re given:

• Ratio of chocolate to vanilla cones = 9:4
• 72 vanilla cones were sold
• We need to find the number of chocolate cones

Step 1: Set up a proportion

=

Let x be the number of chocolate cones:

=

Step 2: Solve for xxx

x=×72==162

Correct answer: C. 162 cones

We're told the ordered pair (3, 24) lies on the line representing the relationship between:

• x = number of lunches,
• y = total cost in dollars.

So, (3, 24) means:

When 3 lunches are ordered, the total cost is $24.

Correct answer: C. 3 lunches cost a total of $24

Let’s quickly rule out the others:

• A. Says each lunch is $24 — wrong.
• B. Reverses the values.
• D. Says 24 lunches cost $3 each — not related to (3, 24).

The dependent variable is the one that depends on or is determined by other variables.

In this case:

• Price is determined by the model, mileage, and age

Correct answer: A. Price

Because it depends on the other factors listed.

We are asked to find an equation for Y, the profit (or dollars raised), based on:

• Selling price per T-shirt: $12
• Cost per T-shirt: $5
• One-time fixed cost: $150
• Number of shirts sold: x

Step-by-step breakdown:

• Total Revenue:

Revenue=12x

• Total Cost:

Cost=150+5x

• Profit (Y) = Revenue – Cost:

Y=12x−(150+5x)

Correct answer: D. Y = 12x – (5x + 150)

To find the digit in the tens place of 12.34, let's break down the number:

• 12 is the whole number part
  • 1 is in the tens place
  • 2 is in the ones place
• .34 is the decimal part
  • 3 is in the tenths place
  • 4 is in the hundredths place

Correct answer: B. 1

To find the percent of the population that is left-handed, use the data from the table:

Left-Handed:

• Male: 3
• Female: 4
• Total left-handed = 3 + 4 = 7

Total population:

• Male: 3 + 29 = 32
• Female: 4 + 34 = 38
• Total population = 32 + 38 = 70

Percent left-handed:

7/70×100=10%

Correct answer: D. 10%