Emma is now 24 years old then Ben would be 2E, or 48 years old.
<h3>What is a system of equations?</h3>
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Let B and E be Ben's and Emma's current ages, respectively.
We have given that;
Ben's age is currently twice of his sister, Emma.
B = 2E
and
8 years ago, Ben's age was 2 and a half times that of Emma's age
B-8 = 2.5(E-8)
We can substitute the value of B from the first equation into the last one
B-8 = 2.5(E-8)
(2E)-8 = 2.5(E-8)
2E-8 = 2.5E- 20
-0.5E = -12
E = 24
Thus, Emma is now 24 years old then Ben would be 2E, or 48 years old.
Learn more about equations here;
brainly.com/question/10413253
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Answer:
1.8m^2 approx
Step-by-step explanation:
Given data
P1= 1400N
A1=0.5m^2
P2=5000 N
A2=??
Let us apply the formula to calculate the Area A2
P1/A1= P2/A2
substitute
1400/0.5= 5000/A2
cross multiply
1400*A2= 5000*0.5
1400*A2= 2500
A2= 2500/1400
A2= 1.78
Hence the Area is 1.8m^2 approx
Answer:
44 cm
Step-by-step explanation:
So, it is asking what the bigger piece of the 60 cm board is. First you can divide it into two even pieces. That makes each piece 30 cm. but, it wants one of the two 14 cm bigger, right? So, now your going to add 14 cm to 30 cm, giving you 44 cm. But, if you do that then you will have to subtract 14 cm from the other board. That leaves you with the bigger board is 44 cm, and the smaller one is 16 cm.
Answer:
0.29
Step-by-step explanation:
I used a calculator
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a = a + d(n-1)
n 1
this is the formula for the arithmetic sequence.
the first sequence is arithmetic
an=1+7(n-1)
the second sequence is also arithmetic
an=12+4(n-1)