Let
x----------> number of weeks
y----------> saved money
we now that
<span>Michael begins with $20 and saves $5 per week
so
y=20+5x------> equation 1
and
</span><span>Lindsey begins with no money, but saves $10 per week
</span><span>y=10x-------> equation 2
</span><span>the number of weeks it will take for Lindsey and Michael to save the same amount of money is when equation 1 is equals to equation 2
</span>
therefore
20+5x=10x------> 10x-5x=20------> 5x=20-----> x=20/5-----> x=4 weeks
the answer is
4 weeks
Answer:
2/3&1/6
2/3- 1/6
the LCM for 3 and 6 is 6
=(2x6)/(3x6) -(1x6)/(6x6)
=4/6-1/6
=(4-1)/6
find the difference
= 3/6
=1/2
2/3-1/6= 1/2
By using LCM method, 1/2 is the equivalent fraction by subtracting 1/6 from 2/3.
2/3&1/6
2/3- 1/6
cross multiply
2x6-1x3/3x6
simplify
12-3/18
=9/18
= 1/2
2/3-1/6 = 1/2
By using cross multiplication method, 1/2 is the difference between two fractions 2/3 and 1/6.
Step-by-step explanation:
hope that helps>3
6x+1 / 2x +6 - 5/2
Factor 2 out of the denominator of the first fraction:
6x+1 / 2(x+3) - 5/2
Rewrite 5/2 to have a common denominator with the first fraction:
6x+1/2(x+3) - 5(x+3) / 2(x+3)
Simplify terms:
6x +1 - 5(x+3) / 2(x+3)
Use distributive property:
6x +1 - 5x -15 / 2(x+3)
Combine like terms for final answer:
(x-14) / 2(x+3)
Answer:
Yes
Step-by-step explanation:
We can use the Pythagorean Theorem to check if this triangle is a right triangle:
Note that 
and 
are the legs of the triangle and 
is the hypotenuse:
Substitute the lengths of the sides into the equation:
Therefore this triangle is a right triangle.
Answer:
19
/72
≈0.264
Step-by-step explanation:
