This can be done using synthetic division.
1 -2 -14 -5
-3 -3 15 -3
___________
1 -5 1 -8
v^2 - 5v + 1 remainder -8
OR
v^2 - 5v + 1 -8/(v + 3)
Short Answer: Tony 40 Cleo 30
Givens
T = Tony
C = Cleo
Equations
1/2 T + 1/3 C = 30 (1)
2/5 T + 1/2 C = 31 (2)
Adjustments
Multiply (1) by 3
Multiply (2) by 2
New Equations
3/2 T + C = 90 (1a)
<u>4/5 T + C = 62</u> (2a) Subtract (2a) from (1a)
(3/2 - 4/5)T = 28 the common multiple of 2 and 5 = 10.
(15/10 - 8/10)T = 28
7/10 T = 28 Multiply by 10
7T = 28*10
7T = 280 Divide by 7
T = 280/7 = 40
Put T = 40 into (1)
1/2 T + 1/3 C = 30
1/2 (40) + 1/3 C = 30
20 + 1/3 C = 30 Subtract 20 from both sides.
1/3 C = 30 - 20
1/3 C = 10 Multiply through by 3
C = 10 * 3
C = 30
Answer:
Cleo has 30 books.
Tony has 40 books.
Check
<em>Use Equation 2</em>
2/5 T + 1/2 C = 31
2/5*40 + 1/2 * 30 = ? 31
16 + 15 =?3`
31 = 31 They are equal.
The smaller is the rounding factor, the more accurate the estimation is
532668 rounded to the nearest ten is 532670
532668 rounded to the nearest hundred is 532700
532668 rounded to the nearest thousand is 533000
532668 rounded to the nearest ten thousand is 530000
532668 rounded to the nearest hundred thousand is 500000
We can use either 532700 or 533000 as a reasonable estimate because these values don't give much difference to the original value
Answer:
Part A: The two factors are 6 and 4x. Part B: Question is confusing Part C: The coefficient of the variable is 4.
Step-by-step explanation:
Factors are what gets multiplied to give a product, therefore, 6 and 4x are the products as they are both being multiplied by 5. I don't understand what you are asking for part b. Part C, the coefficient is any number that is multiplied with the variable next to in. For example, in 16x, 16 is the coefficient and x is the variable. In 9y, 9 is the coefficient and y is the variable.
Answer:
{-3, -4}
Step-by-step explanation:
hope it will help you☺
