x = number of packages he bought
y = number of popsicles in each package
Here are the two equations:
xy = 54
x = 3 + y
Using the substitution method, you can solve them to find x and y.
(3 + y)y = 54,
3y + y^2 = 54
y^2 + 3y - 54 = 0
Solve the quadriatic equation:
(y +9)(y - 6) = 0
y = -9, 6.
Plug y into: xy = 54
x(-9) = 54, x = -6.
x(6) = 54, x = 9.
So he bought 9 packages of popsicles, bc you can't bye -6 packages.
<span>x = child ticket price
y = adult ticket price
5x+3y=52 the cost accounting for the first group.
3x+2y=38 the cost accounting for the second group.
Child price: 5$
Adult price: 9$</span>
Answer:
YES. (2, 7) is a solution of the system.
Step-by-step explanation:
System of linear inequalities has been given as,
y ≥ -x + 1 --------(1)
y < 4x + 2 ------(2)
If (2, 7) is a solution of the given system of inequalities, it will satisfy both the inequalities.
By substituting the coordinates of point (2, 7) in inequality (1),
7 ≥ -2 + 1
7 ≥ -1
True.
By substituting the coordinates of point (2, 7) in inequality (2),
7 < 4(2) + 1
7 < 9
True.
Therefore, point (2, 7) lie in the solution area of system of inequalities.
YES. (2, 7) is a solution of the system.
Answer:
£ 38,110
Step-by-step explanation:
We need to find salary for 1 year (12 months).
- Monthly Salary = 1410, so yearly would be:
1410 * 12 = 16,920
- 26% of total profit. Let's find the profit first:
Profit is Income - Cost
So, that would be (from table):
Profit = 549000 - 473500 = 75,500
26% of that would be:
26/100 = 0.26
0.26 * 75,500 = 19,630
- 390 bonus for each month she sells atleast 16 cars
Out of 12 months (1 year), she sold at least 16 cars in 4 months, so she gets bonus of 390 for those 4 months, that would make:
390 * 4 = 1560
Total Pay for the year would be summation of all these:
Total Pay = 16,920 + 19,630 + 1560 = £ 38,110
The rephrased statement for Kun's proof is: A. In quadrilateral ABCD, if AB ≅ DC & AD ≅ BC, then AB║DC & AD║BC.
<h3>What is a Parallelogram?</h3>
A parallelogram is a quadrilateral that has two opposite sides that are congruent to each other and are also parallel to each other.
This means that if two pairs of opposite sides of a quadrilateral are congruent and parallel, then it is a parallelogram.
Rephrasing Kun's statement in his proof will therefore be: A. In quadrilateral ABCD, if AB ≅ DC & AD ≅ BC, then AB║DC & AD║BC.
Learn more about a parallelogram on:
brainly.com/question/12167853
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