Justin's statement would be the best. In order to change 3/5 into 6/10, both sides would need to be multiplied by 2.
Packet of 12 pencils = p
Packet of 30 rulers = r
p = £2.15
r = £6.00
£35 = 4r + xp
£35 = 4(£6.00) + x(£2.15)
£35 = £24 + £2.15x
£11 = £2.15x
x = 5.12
Since she can buy 5.12 packets of pencils, it is equal to 5 packets of pencils.
Answer:the third option is correct
Step-by-step explanation:
The system of equations are
y = 2x^2 - 5x - 7 - - - - - - - - - - -1
y = 2x + 2 - - - - - - - - - - - - - 2
We would equate equation 1 and equation 2. It becomes
2x^2 - 5x - 7 = 2x + 2
2x^2 - 5x - 2x - 7 - 2 = 0
2x^2 - 7x - 9 = 0
We would find two numbers such that their sum or difference is -7x and their product is - 18x^2. The two numbers are 2x and - 9x. Therefore
2x^2 + 2x - 9x - 9 = 0
2x(x + 1) - 9(x + 1) = 0
2x - 9 = 0 or x + 1 = 0
2x = 9 or x = - 1
x = 9/2 = 4.5
Substituting x = 4.5 or x = -1 into equation 2, it becomes
y = 2 × 4.5 + 2 or y = 2 × - 1 + 2
y = 11 or y = 0
Therefore, the solutions are
(4.5, 11) (- 1, 0)
Answer:
$1200
Step-by-step explanation:
The clustering method for estimation is a method used for estimating the sums and products of numbers. This method is used when the numbers that are to be multiplied or added are near in value to a single number.
Given the money raised by six fund raisers:
$212, $205, $206, $190, $188, and $195
The numbers are to be added to find the total money raised. i.e.:
$212 + $205 + $206 + $190 + $188 + $195
But all the numbers are close to $200. Hence:
Using clustering method = $200 + $200 + $200 + $200 + $200 + $200 = 6 * $200 = $1200
