Explanation:
The correct response is (A). Angle COD is measured at 25°. It is 50° because the measure of Angle AOB is twice that of Angle COD.
The sum of the measurements for Angles AOB, COD, and BOC yields Angle AOD, which has a measure of 85°.
m∠AOD = m∠COD + m∠AOB + m∠BOC
85 = 25 + 50 + x
85 = 75 + x
x = 10
Explanation:
The correct answer is (C). It will be useful to translate each measurement to meters as we are calculating the overall distance in meters.
We divide by 1000 to convert millimeters to meters, which involves moving the decimal point three spaces to the left. 0.400 meters are equal to 400 millimeters.
Divide by 100 to convert from centimeters to meters requires moving the decimal point two spaces to the left. 0.30 meters are equal to 30 centimeters.
0.700 meters are obtained by multiplying 0.400 meters by 0.30 meters.
First convert both fractions so that they have the same denominator (the number on the bottom). 2/3 is the same as 4/6. Then subtract the running time (4/6) from the swimming time (5/6): 5/6 - 4/6 = 1/6
In the header of the invoice, the service period is shown as "6/1 - 6/30" which means that the bill covers the month of June.
20% of 25 games is 0.2 x 25 = 5 games
A customer will pay $29.99 x 6 = $179.94 for six months of service. Do not include the one time installation charge.
One month of service is $29.99 which is rounded to $30. Do not include the one time installation charge.
The least expensive computer with 6 GB of RAM is the Elite computer at $490. The price of the computer would be $490 - $30 = $460 after the $30 coupon is used.
Explanation:
The correct answer is (D). In this case, we're cutting the fraction 1/3 into four equal pieces. Mathematically, this is represented as 1/3÷4
Dividing by 4 is equivalent to multiplying by its reciprocal, 1/4.
1/3÷4=1/3×1/4 =1×1/3×4=1/12
Each slice will comprise 1/12 of the whole pizza.
Explanation:
The correct answer is (D). We just multiply the numerators to find the numerator of the answer and the denominators to find the denominator of the answer when multiplying fractions. Keep in mind that when multiplying or dividing fractions, there is no requirement for a common denominator.
2/5×3/7=2×3/5×7=6/35
The total balance due is the sum of the installation charge and the monthly service fee. Therefore, the Total Balance Due is: $118.45 + $29.99 = $148.44
Explanation:
The correct answer is (A). There are 8 marbles in each column. We have n marble columns. What must n be in order for there to be a total of 72 marbles?
Algebraically, we have the following: 8×n=72
To make this true, we need n=9.
Each Elite computer costs $490. Therefore, 3 Elite computers would cost $490 x 3.
The service costs $29.99 per month which is rounded to $30. There are approximately 30 days per month. Therefore the approximate cost per day is $30/30 days = $1 per day. Do not include the one time installation charge
The Extreme computer, at $550 costs more than the other computers…therefore it is the most expensive.
Explanation:
The correct response is (A). Because the number "2" is in the hundredths place, we have "two hundredths," which can be expressed as 2×(1/100).
