Answer: x = 3
Step-by-step explanation:
First you need to start by adding positive 4x to both sides since the 4x is a negative. 4x + (-7x) = -3x. Then it is just simply -3x+2 = -7. Since 2 is a positive number subtract both both sides by 2. Then you should get -3x = -9. Then divide both sides by -3 and the answer is x = 3.
Since the board is in inches, she can lay the board on the side of the rug. after she finds how many inches the rug is, Lyza can convert the inches into feet by dividing the amount of inches by 12.
Answer:
3 patients had all the three complaints
Step-by-step explanation:
Let U be the set of patients who reported at the hospital on that day
Let F be the set of patients who complained of fever
Let S be the set of patients who had stomach troubles
Let I be the set of injured patients
Then the given data can be written as:
- n(U) = n(F∪S∪I) = 100
- n(F) = 70
- n(S) = 50
- n(I) = 30
- n(F∩S) + n(S∩I) + n(I∩F) - 3×n(F∩S∩I) = 44
n(F∩S∩I) = ?
Using the formula for the cardinal number of union of three sets:
n(F∪S∪I) = n(F) + n(S) + n(I) - n(F∩S) - n(S∩I) - n(I∩F) + n(F∩S∩I)
100 = 70 + 50 + 30 - (44 + 3×n(F∩S∩I)) + n(F∩S∩I)
100 = 150 - 44 - 2×n(F∩S∩I)
2×n(F∩S∩I) = 106 - 100 = 6
<u>n(F∩S∩I) = 3</u>
To get the equivalent yearly increase of x% we use the compound formula given by:
A=P(1+r/100)^t
where:
A=amount, P=principle, r=rate, t=time
from the question:
A=£95000, P=£80000, r=x%, t=5 years
hence plugging the values we obtain:
95000=80000(1+x/100)^5
simplifying the above we obtain:
1.1875=(1+x/100)^5
1.03497=1+x/100
0.03497=x/100
thus
x=3.497~3.5%