julie buys 2kg of apples and 7kg of pears £12.70. the pears cost £1.30 per kilogram what is the price per kilogram of the apples
2 answers:
Answer:
The cost per kilogram of the apples is £1.80.
Step-by-step explanation:
In this scenario, x denotes the cost of the apples per kilogram, and y denotes the cost of the pears per kilogram.
Based on the information given:
Julie purchases 2 kilograms of apples and 7 kilograms of pears for a total of £12.70.
⇒....[1]
It is specified that pears are priced at £1.30 per kilogram
⇒y = £1.30
Substituting into [1] yields;
⇒
⇒
By removing 9.10 from both sides, we get;
⇒
Dividing both sides results in;
x = £1.80
Thus, the cost per kilogram of the apples is £1.80.
You might be interested in
Response:
24.2 (rounded to the nearest tenth)
Detailed breakdown:
The data type involved is ungrouped
standard deviation =√ [∑ (x-μ)² / n]
average (μ)=∑x/n
=
=33.3
For the values 5, 5, 6, 12, 13, 26, 37, 49, 51, 56, 56, 84, the x-μ results will be
-28.3, -28.3, -27.3, -21.3, -7.3, 3.7, 15.7,17.7, 22.7,22.7,50.7
Calculating (x-μ)² gives: 800.89, 800.89, 745.29, 453.69, 53.29, 13.69, 246.49, 313.29, 515.29, 515.29, 2570.49
Then, ∑ (x-μ)² results in = 7028.59
Thus, standard deviation = √(7028.59 / 12)
=24.2
Given:
A quadratic function has a line of symmetry positioned at x = –3.5 with one root located at –9.
To find:
The second root.
Solution:
It is understood that the line of symmetry splits the quadratic function's graph into two identical halves. Hence, both roots are equidistant from this line.
This implies that the line of symmetry passes through the midpoint of the two roots.
Let the other root be denoted as x.
Multiply both sides by 2.
Add 9 to both sides.
Consequently, the other zero of the quadratic function is concluded to be 2.