The answer is 177/8 or one hundred seventy seven over eigth.
1/8(8x + 15) = 24
Multiply both sides by 8:
8* 1/8(8x + 15) = 8 * 24
8x + 15 = 192
Subtract 15 from both sides:
8x +15 - 15 = 192 - 15
8x = 177
Divide both sides by 8:
8x/8 = 177/8
x = 177/8
Answer:
(1/2 ,3) or (0.5, 3) is the same
Step-by-step explanation:
The midpoint between (3,5) and (-2,1) would be:
Apply the formula:
x1+x2 / 2 , y1 + y2 / 2
= 3 + (-2) / 2, 5 + 1 /2
= 1/2, 6/2
= 1/2 ,3 or 0.5, 3 is the same
Hope this helped :3
Answer:
Option D (4, -5)
Step-by-step explanation:
This question can be solved by various methods. I will be using the hit and trial method. I will plug in all the options in the both the given equations and see if they balance simultaneously.
Checking Option 1 by plugging (-4, -5) in the first equation:
-2(-4) + 6(-5) = -38 implies 8 - 30 = -38 (not true).
Checking Option 2 by plugging (-5, 4) in the first equation:
-2(-5) + 6(4) = -38 implies 10 + 24 = -38 (not true).
Checking Option 3 by plugging (1, -6) in the second equation:
3(1) - 4(-6) = 32 implies 3 + 24 = 32 (not true).
Since all the options except Option 4 have been ruled out, therefore, (4,-5) is the correct answer!!!
All estimating problems make the assumption you are familar with your math facts, addition and multiplication. Since students normally memorize multiplication facts for single-digit numbers, any problem that can be simplified to single-digit numbers is easily worked.
2. You are asked to estimate 47.99 times 0.6. The problem statement suggests you do this by multiplying 50 times 0.6. That product is the same as 5 × 6, which is a math fact you have memorized. You know this because
.. 50 × 0.6 = (5 × 10) × (6 × 1/10)
.. = (5 × 6) × (10 ×1/10) . . . . . . . . . . . by the associative property of multiplication
.. = 30 × 1
.. = 30
3. You have not provided any clue as to the procedure reviewed in the lesson. Using a calculator,
.. 47.99 × 0.6 = 28.79 . . . . . . rounded to cents
4. You have to decide if knowing the price is near $30 is sufficient information, or whether you need to know it is precisely $28.79. In my opinion, knowing it is near $30 is good enough, unless I'm having to count pennies for any of several possible reasons.
Answer:
qhttps://goo.gl/search/what+is+the+constant+of+proportionality
Identifying the Constant of Proportionality - Video & Lesson ... The constant of proportionality is the ratio between two directly proportional quantities. In our tomato example, that ratio is $3.00/2, which equals $1.50. Two quantities are directly proportional when they increase and decrease at the same rate.
