Answer:
Answer: b = 58/5 or 11 3/5 or 11.6 decimal
Step-by-step explanation:
Solve for b:
b - (3 + 2/5) = 8 + 1/5
Put 3 + 2/5 over the common denominator 5. 3 + 2/5 = (5×3)/5 + 2/5:
b - (5×3)/5 + 2/5 = 8 + 1/5
5×3 = 15:
b - (15/5 + 2/5) = 8 + 1/5
15/5 + 2/5 = (15 + 2)/5:
b - (15 + 2)/5 = 8 + 1/5
15 + 2 = 17:
b - 17/5 = 8 + 1/5
Put each term in b - 17/5 over the common denominator 5: b - 17/5 = (5 b)/5 - 17/5:
(5 b)/5 - 17/5 = 8 + 1/5
(5 b)/5 - 17/5 = (5 b - 17)/5:
(5 b - 17)/5 = 8 + 1/5
Put 8 + 1/5 over the common denominator 5. 8 + 1/5 = (5×8)/5 + 1/5:
(5 b - 17)/5 = (5×8)/5 + 1/5
5×8 = 40:
(5 b - 17)/5 = 40/5 + 1/5
40/5 + 1/5 = (40 + 1)/5:
(5 b - 17)/5 = (40 + 1)/5
40 + 1 = 41:
(5 b - 17)/5 = 41/5
Multiply both sides of (5 b - 17)/5 = 41/5 by 5:
(5 b - 17)/(5 1/5) = 1/5×1/(1/5) 41
1/5×1/(1/5) = 1:
5 b - 17 = 1/5×1/(1/5) 41
1/5×1/(1/5) = 1:
5 b - 17 = 41
Add 17 to both sides:
5 b + (17 - 17) = 17 + 41
17 - 17 = 0:
5 b = 41 + 17
41 + 17 = 58:
5 b = 58
Divide both sides of 5 b = 58 by 5:
(5 b)/5 = 58/5
5/5 = 1:
Answer: b = 58/5 or 11 3/5 or 11.6 decimal
Answer:
17.75x + 5.25 
165
x 9
Step-by-step explanation:
The total cost can be represented by 17.75x + 5.25, where x is the number of people.
They can only spend a maximum of $165, so a less than or equal sign has to be used.
The inequality will be 17.75x + 5.25 165
Now, solve for x:
17.75x + 5.25 165
17.75x 159.75
x 9
So, x 9 is the answer, meaning 9 people or less can go to the amusement park.
To multiply fractions, you multiply numerator with numerator and denominator with denominator
In other words: a/b*c/d=(a*c)/(b*d)
So 1st one is (5*2)/(6*3) which is 10/18 or 5/9 simplified
2nd one is (9*5)/(10*18) which is 45/180 or 1/4 simplified
3rd one is (4*3)/(5*4) which is 12/20 or 3/5 simplified
4th one is (2*5)/(3*1) which is 10/3 or 3 1/3 if you want a mixed number
Hope this helped!
<h3>Answer: QS is 37 units long</h3>
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Explanation:
PN = 24 and NR = 14 are pieces of the chord PR. The two pieces multiply to some value. At the same time, the other two pieces QN = 21 and NS = 2x-4 also multiply to that same value. In short, the chord pieces multiply to the same number. This is known as the intersecting chord theorem.
PN*NR = QN*NS
24*14 = 21*(2x-4)
336 = 42x-84
336+84 = 42x-84+84 .... add 84 to both sides
420 = 42x
42x = 420
42x/42 = 420/42 ...... divide both sides by 42
x = 10
We know that x = 10 so we can use it to find the length of NS
NS = 2x-4
NS = 2*10-4
NS = 20-4
NS = 16
Therefore,
QS = QN + NS
QS = 21 + 16
QS = 37
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note: as a check,
PN*NR = QN*NS
24*14 = 21*16
336 = 336
we get a true equation, so we have the proper values
Answer:
Step-by-step explanation:
f(x) = 5x - 9 and g(x) = x+9/5 are inverses of each other.
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