ANSWER
EXPLANATION
The given fraction is,
To get an equivalent fraction, we multiply both the numerator and the denominator by the same quantity that will give us
w²+w-20
in the denominator.
This implies that,
We multiply out the numerators and denominators using the distributive property to obtain,
This simplifies to
Answer:
The answer is 1/10
Step-by-step explanation:
Let us take the Shaded region be x
So,
2/5 + x = 1/2
Now, Solve for x
x + 2/5 = 1/2
5x + 2/5 = 1/2
2(5x + 2) = 5(1)
10x + 4 = 5
10x + 4 – 4 = 5 – 4
10x= 1
10x/10 = 1/10
x = 1/10
Thus, The value of x is 1/10
<h3>
<u>For</u><u> Verification</u>;</h3>
2/5 + x = 1/2
2/5 + 1/10 = 1/2
2 × 2/5 × 2 + 1/10 = 1/2
4/10 + 1/10 = 1/2
4 + 1/10 = 1/2
5/10 = 1/2
1/2 = 1/2
L.H.S = R.H.S
Hence Verified!
<u>-TheUnknownScientist</u><u> 72</u>
Answer:
After 5 weeks.
Step-by-step explanation:
Westley starts with $85 and saves $5 per week. So:
Buttercup starts with $10 and saves $20 per week. So:
When they have the same amount of money, the two equations will be equal to each other. Therefore:
Solve for x. Subtract 10 from both sides:
Subtract 5x from both sides:
Divide both sides by 15:
Westley and Buttercup will have the same amount of money after 5 weeks.
The two triangles are similar, so will have a direct scale factor. We can find this by using the given measurements, 10÷8=1.25. So the scale factor from the smaller to the bigger triangle is 1.25. This means that 1.25×(x+6)=AE. We can solve this as we would with a regular linear equation:
1.25(x+6)=2x+6
1.25x+7.5=2x+6
1.5=0.75x
2=x
∴ AE is 2x+6=10
