Answer: Option A. 288 cubic inches
Answer:
x = 28/3
Step-by-step explanation:
3x - 1 = 27
Add 1 to each side
3x - 1+1 = 27+1
3x = 28
Divide by 3
3x/3 = 28/3
x = 28/3
Answer:
Dimes = x = 52
Nickels = y = 39
Step-by-step explanation:
Let
Dimes = x
Nickels = y
x + y = 91 (1)
0.10x + 0.05y = 7.15 (2)
From (1)
x = 91 - y
Substitute x = 91 - y into (2)
0.10x + 0.05y = 7.15
0.10(91 - y) + 0.05y = 7.15
9.10 - 0.10y + 0.05y = 7.15
- 0.10y + 0.05y = 7.15 - 9.10
-0.05y = -1.95
y = -1.95 / 0.05
= 39
Substitute y = 39 into (1)
x + y = 91
x + 39 = 91
x = 91 - 39
x = 52
Dimes = x = 52
Nickels = y = 39
The estimate of the amount of money Yousef will borrow by first rounding to the hundred is 4000
<h3>Estimate the amount of money Yousef will borrow by first rounding to the hundred</h3>
The amount borrowed are given as:
Last term = 1690
This term = 2345
When the amounts are rounded to the nearest hundred, the amounts borrowed become:
Last term = 1700
This term = 2300
The total amount is then calculated as:
Total amount = Last term + This term
Substitute the known values in the above equation
Total amount = 1700 + 2300
Evaluate the sum
Total amount = 4000
Hence, the estimate of the amount of money Yousef will borrow by first rounding to the hundred is 4000
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Answer:
38 degrees
Step-by-step explanation:
By the Law of Cosines,
5² = 3² + 7² - 2(3)(7) cos A
5² - 3² - 7² = -2(3)(7) cos A
-33 = -42 cos A
cos A = 33/42
A = arccos(33/42), which is about 38 degrees.
