Answer:
The system that models the situation is:
The solution is:
(9, 6)
Step-by-step explanation:
We must write the equations as indicated in the problem.
The sum of twice a number and another number is 24
<em>a number:</em> x
<em>other number:</em> y
Then
The difference of twice the first number and the other number is 12
<em>first number: </em> x
<em>other number:</em> y
Then:
The system that models the situation is:
To solve the system we add both equations to find the value of x
---------------------
The solution is:
(9, 6)
Answer:
The the cost of 1 kg apples = € 2.1
Step-by-step explanation:
The amount of pears bought by Lizzie = 0.8 kg
The amount of apple bought by Lizzie = 1.4 kg
Total amount paid = €4.46
Now, the cost of 1 kg pears = €1.90 per kg
So, the cost of 0.8 kg pears = 0.8 x (1.90) = €1.52
Now, let the cost of 1 kg apples = € m
So, the cost of 1.4 kg apples = 1.4 x ( € m) = 1.4 m
So, the total amount = Cost of Apples + Cost of Pears
⇒ €4.46 = €1.52 + 1.4 m
or, 1.4 m = 4.46 - 1.52 = 2.94
⇒ m = 2.94/1.4 = 2.1
or, m = 2.1
Hence, the the cost of 1 kg apples = € 2.1
Step-by-step explanation:
a rectangle has two pairs of equally long sides and each of the 4 angles between the sides is 90 degrees.
given that ABCDEF is a regular hexagon, it means that all its sides are equally long, and therefore also all internal angles are the same size.
that means for ACDF that the sides DC and FA are equally long.
DEF and ABC are congruent triangles, as the sides DE = BC, EF = AB, and the angle E is congruent to angle B.
based on the SAS criteria this confirms that DF is congruent to AC.
the angles ACB, CAB, EDF and EFD have to be all the same, and therefore also the angles FDC, DCA, CAF and DFA.
so, all 4 angles of the parallelogram ACDF are the same, and the sum of all these angles has to be 360 degrees, we have
360 = 4×angle
angle = 90 degree.
so, all angles are 90 degrees and we have two pairs of equally long sides : this process that ACDF us a rectangle
Important physical properties that affect fertility include soil structure and texture. Structure is the amount of aggregation and pores in soil and texture is the proportion of clay and sand particles in soil. Both affect soil fertility by affecting water movement through soil, root penetration and water logging.
it is 529 plan
a 529 plan is a saving plan designed to encourage saving for future education.
