Absolute value equations can be rewritten in two ways to solve: 2x − 5 = 19 and 2x − 5 = −19. Solve both: 2x − 5 = 19 2x = 24 X = 12 2x − 5 = −19 2x = −14 x = −7 The two solutions and −7 and 12.
The easiest way to answer this question is to round the numbers. Let’s say the tip is $10 and the total was $87. $10/$87 = approximately 11%. (A) is the closest answer to our approximation.
First you must calculate how many hours the nurse works each week. Three 8-hour shifts plus one 12-hour shift equals 36 hours per week. Beginning Salary = 36 x $17.81 = $641.16 Deductions = $102.80 + $24.58 + $18.13 + $52.15 = $197.66 Take-Home Pay = $641.16 − $197.66 = $443.50
There are 1,000 liters in 1 kiloliter: 1,400 liters = 1.4 kiloliters. 1.4 x 220 = 308 imperial gallons
The easiest way to make an estimate is to round each number so there is only one nonzero digit. Then you can easily add up the numbers: 73 ≈ 70 66 ≈ 70 96 ≈ 100 17 ≈ 20 66 ≈ 70 Adding these numbers together yields $330.
To solve an inequality, simply treat the inequality symbol as if it’s an equals sign: 5y − 8 > 32 5y > 40 y > 8
If there are 48 total, and 28 study French, then 20 study Spanish. The ratio of 20 to 48 = 10/24 = 5/12.
First you must convert the fraction to a decimal by moving the decimal point 2 places to the left, which gives you 1.815. Then multiply this by 18. 1.815 x 18 = 32.67
In order to convert a decimal to a percent you need to move the decimal point two places to the right and add the percent symbol.
Subtract the second number from the original/first number (13.5-12.5=1.0) and divide the result by the original number (1/12.5=0.08=8%) to determine the percent of growth.
assuming that y is the DVD's cost before tax. When tax was added, the price would be y + 0.07y = $22.90. Because of this, 1.07y=22.90, or y=22.90/1.07=21.40. Be careful not to simply deduct 7% from $22.90. This is untrue.
$2 of the $4.25 toll goes toward the driver and vehicle. This leaves $2.25 ($4.25-$2) for the passengers. There are 1 driver and 3 passengers overall, thus $2.25/0.75 equals 3 passengers.
To begin with, change 6:15 PST to 9:15 EST. The flight then took place between 9:15 p.m. and 2:45 a.m. EST. Thus, the flight's duration was 5 1/2 hours.
12 feet by 18 feet is equal to 24 square yards (4 yards by 6 yards). $24 divided by $3 per square yard equals $72. Although 9 square feet equal one square yard, keep in mind that 3 feet equals one yard.
Instead of simply adding discounts, you must apply them sequentially. Thus, the price after the initial 20% discount is $125 x 80% = $100. The price after the second 30% discount is $100 x 70%, or $70.
There are a total of 12 cards. As a result, the likelihood of selecting a hockey card is 6/12, or half.
If x + y + 15 = 30, then z + 15 = 30 (use x + y to replace x) indicating that z = 15. z = 15, then 40 - z = 40 - 15 = 25 if z = 15.
Given that it equals 31 x 3, the number 93 is not a prime. A integer is divisible by three if all of its digits, when added together, are divisible by three.
Use the First, Outside, Inside, Last (FOIL) approach to solve. X² +3x +5x + 3×5
In the second equation, you can substitute x for y if x = y, hence 4(x-x)+7 = 4(0)+7=7
Keep the base and subtract the exponents when dividing two powers with the same base.
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