If you are asking to solve for x the answer is:
x = 2
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9514 1404 393
Answer:
C. 8√3/3
Step-by-step explanation:
It can be useful to remember that the ratio of sides in a 30°-60°-90° triangle are ...
1 : √3 : 2
That is the short leg is 1/√3 times the length of the longer leg.
8(1/√3) = 8(√3/3) . . . . . matches choice C
Answer:
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $300
r = 10% = 10/100 = 0.1
n = 2 because it was compounded 2 times in a year(6 months).
t = 3 years
Therefore,
A = 300(1 + 0.1/2)^2 × 3
A = 300(1 + 0.05)^6
A = 300(1.05)^6
A = $402.03
Answer:
1 pear = $0.45
1 mango = 1.5
Step-by-step explanation:
8 pears + 5 mangoes = $11.10 ➡ 8p + 5m = 11.10
5 pears + 4 mangoes = $8.25 ➡ 5p + 4m = 8.25
multiply first equation by -4 and second one by 5
-4 ×(8p+5m) = 11.10 ➡ -32p - 20m = 44.4
5 ×(5p+4m) = 8.25 ➡ 25p + 20m = 41.25
add both equations up
-32p - 20m + 25p + 20m = 44.4 + 41.25
-7p = 3.15 ➡ p = $0.45
use this value to find the price of mango
5×0.45 + 4×m = 8.25 ➡ 2.25 + 4m = 8.25 ➡ 4m = 6 ➡ m = $1.5
A) Let x = number of presale tickets
<span>y = number of day of show tickets </span>
<span>x + y =< 800 </span>
<span>6x + 9y >= 5000 </span>
<span>b) 6x + 9y >=5000 </span>
<span>6(440) + 9y >=5000 </span>
<span>y >= 262.2 </span>
<span>263 tickets </span>
<span>440 advance purchase tickets added to 263 day of show tickets is 703 tickets, which is below the 800 ticket maximum.</span>
