9514 1404 393
Answer:
- x² = y + 16
- 4y - 1 = 7x
- (5, 9)
Step-by-step explanation:
Writing equations from words is mostly a matter of understanding what the English words mean.
If the first number is x, then the square of the first number is x². That is said to be equal to the sum of the second number (y) and 16:
x² = y + 16 . . . . the first equation
The wording "the difference of A and B" is usually intended to be interpreted to mean A-B. Here, we have the difference of 4 times the second number (4y) and 1, so ...
4y -1
This is equal to the first number (x) multiplied by 7, so ...
4y -1 = 7x . . . . the second equation
__
These can be solved a variety of ways. When no method is specified, I like to use a graphing calculator. It shows the only integer solution for this pair of equations is ...
(x, y) = (5, 9)
<span>B. square
</span><span>C. Draw arcs on the circle with the compass set at r units.
</span>
Answer:
The first few multiples of 6 and 9 are (6, 12, 18, 24, 30, . . . ) and (9, 18, 27, 36, . . . )
Answer:
<u>The correct answer is that Zack used 2 7/8 gallons to water his garden on the fifth week.</u>
Step-by-step explanation:
Let's find out the pattern Zack is using to water his garden, this way:
First week = 1 3/8 gallons of water
Second week = 1 3/4 gallons of water = 1 3/8 + 3/8 = 1 6/8 = 1 3/4
Third week = 2 1/8 gallons of water = 1 3/4 + 3/8 = 1 6/8 + 3/8 = 2 1/8
The constant of adding every week is 3/8 gallons, therefore,
Fourth week = 2 1/8 + 3/8 = 2 4/8 = 2 1/2 gallons of water
Fifth week = 2 1/2 + 3/8 = 2 4/8 + 3/8 = 2 7/8 gallons of water
<u>The correct answer is that Zack used 2 7/8 gallons to water his garden on the fifth week.</u>
