Answer:
0.25 hours, or 15 minutes
Step-by-step explanation:
Ok, so the rate is 32 miles per hour, so it would take about 1/4 of a hour to go 8 miles (8/32= 0.25)
The question gives us that the sum of two consecutive odd integeres is 244, and we are asked to find the value of the smaller integer. Well, we can first assign the variable x to the smaller integer, and the variable y to the larger odd integer.
x = smaller odd integer
y = larger odd integer
The question says that the sum of two <u>consecutive</u> odd integers is 244. This means that if x is an odd integer, the next odd integer can be expressed as x + 2. This means that the value of y is x + 2. Next, we can create an equation modeling the problem.
x + y = 244
x + (x + 2) = 244
x + x + 2 = 244
2x + 2 = 244
2x = 242
x = 121
Therefore, the value of the smaller integer is 121, and the value of the larger integer is 121 + 2 = 123. Hope this helped and have a phenomenal day!
Answer:
1682
Step-by-step explanation:
2120 grams of sand in bucket - 438 grams of sand in cup = 1682 :)
Answer:
They need an additional 54 inches of fabric
Step-by-step explanation:
This can be solved by using the unitary method.
Unitary method is that we find the measure of 1 unit and then mulitply it with the required number to get the actual measurement.
4 yards of fabric is equal to 144 inches
1 yard of fabric is equal to 144 inches/4= 36 inches
They need an additional 1 1/2 yards of fabric
So multiplying 1 1/2*36= 3/2*36= 3*36/2= 108/2= 54 inches
They need an additional 54 inches of fabric
Answer:
$34,822.03
Step-by-step explanation:
Future value after 30 years (FV) = $200,000
Time (t) = 30 years
interest rate (r) = 6% =0.06
The equation for obtaining the present value given the future value is:
Applying the data provided:
The present value of the lottery prize amount is $34,822.03.
