5 in. to cm
Answers:
Question 26 options:
A)
1.97 cm
B)
12.70 cm
C)
0.51 cm
D)
0.08 cm
B) 12.70 cm
To solve the problem, we can rearrange the equation C = 20d + 25 to solve for d:
Subtract 25 from both sides to isolate 20d:
C - 25 = 20d
Now we can substitute C = 205 into the equation:
205 - 25 = 20d
Simplify:
180 = 20d
Divide both sides by 20 to solve for d:
d = 9
Therefore, the truck can be rented for 9 days. The correct answer is C) 9 days.
To solve the problem, we can set up a proportion:
x/100 = 75.9/115
To solve for x, we can cross-multiply:
115x = 75.9 * 100
115x = 7590
Divide both sides by 115:
x = 7590/115
x ≈ 66.086
Therefore, 75.9 is approximately 66.086% of 115. The correct answer is B) 66%.
To calculate the total amount Allan repaid, we need to find the interest accrued over 6 months and add it to the principal amount.
Interest = Principal * Rate * Time
Principal = $3800
Rate = 7% per year
Time = 6 months = 0.5 years
Interest = $3800 * 0.07 * 0.5 = $133
Total amount repaid = Principal + Interest = $3800 + $133 = $3933
Therefore, Allan repaid a total of $3933. The correct answer is D) $3933.00.
To calculate the simple interest owed, we can use the formula:
Interest = Principal * Rate * Time
First, we need to convert the rate and time to match the given period of 360 days in a year.
Principal (P) = $800.00
Rate (r) = 8% = 0.08 (decimal form)
Time (t) = 4 months = 4/12 = 1/3 (in years)
Interest = $800.00 * 0.08 * 1/3 = $21.33333...
Rounding to the nearest cent, the simple interest owed is approximately $21.33.
Therefore, the correct answer is A) $21.33.
To find out how many words Mara would type in 45 minutes, we can use the given information that she types 26 words per minute.
Words typed = Words per minute * Minutes
Words typed = 26 words/minute * 45 minutes
Words typed = 1170 words
Therefore, Mara would type 1170 words in 45 minutes.
The correct answer is A) 1170 words.
To find the time it takes for the two cars to be 360 miles apart, we can add the distances traveled by each car.
Let t represent the time in hours.
Distance traveled by the first car = speed * time = 42t
Distance traveled by the second car = speed * time = 48t
The sum of the distances traveled by both cars is equal to 360 miles:
42t + 48t = 360
Combining like terms:
90t = 360
Dividing both sides by 90:
t = 4
Therefore, the two cars will be 360 miles apart in 4 hours.
The correct answer is A) 4 hours.
To calculate the sale price of the jeans, we can subtract the discount amount from the original price:
Discount amount = Original price * Discount rate
Given:
Original price = $56
Discount rate = 20% = 0.20 (decimal form)
Discount amount = $56 * 0.20 = $11.20
Sale price = Original price - Discount amount = $56 - $11.20 = $44.80
Therefore, the sale price of the jeans is $44.80.
The correct answer is B) $44.80.
To determine if the equation is conditional, an identity, or a contradiction, we need to simplify the equation and see if a solution can be found that satisfies the equation.
Starting with the given equation:
-8s - 70 + 4(2s + 18) = 0
Let's simplify each term:
-8s - 70 + 8s + 72 = 0
Combining like terms:
-8s + 8s - 70 + 72 = 0
2 = 0
Since 2 does not equal 0, we have reached a contradiction.
Therefore, the equation is a contradiction because there is no solution that satisfies it.
The correct answer is D) Contradiction; ∅.
To solve the equation, we can simplify and solve for x:
-[9x + (3x + 5)] = 5 - (3x + 2)
First, simplify the expression inside the parentheses:
-[9x + 3x + 5] = 5 - 3x - 2
Combine like terms:
-12x - 5 = 3 - 3x
Now, let's isolate the x term on one side of the equation:
-12x + 3x = 3 - 5
Simplify:
-9x = -2
Divide both sides by -9:
x = -2/(-9)
Simplifying the fraction:
x = 2/9
Therefore, the solution to the equation is x = 2/9.