Answer:
choice C) 1:3 and 33 1/3%
Step-by-step explanation:
Answer:
8times 10 times 4 divided by 2 pplus 8 times 8 equals 64 + 80 = 144 m squared
Step-by-step explanation:
Answer:
x = 2.81 and 2.096
Step-by-step explanation:
Given the expression
10(2^x) + 7(3^x) = 6^x + 70
This can also be expressed as;
10(2^x) + 7(3^x) = (2*3)^x + 70
10(2^x) + 7(3^x) = 2^x*3^x + 70
Let a = 2^x and b = 3^x
10a + 7b = ab + 70
10a + 7b - ab = 70
10a-ab + 7b - 70 = 0
a(10-b)+7(b-10) = 0
a(10-b)-7(10-b) = 0
a-7 = 0 and 10-b = 0
a = 7 and b = 10
Since a = 2^x
7 = 2^x
log 7 = log2^x
log7 = xlog2
x = log7/log2
x = 2.81
Similarly
10 = 3^x
log 10 = log 3^x
log 10 = xlog3
x = log 10/log 3
x = 1/0.4771
x = 2.096
Hence the values of x that satisfies the equation are 2.81 and 2.096
Step-by-step explanation:
a = original number of adult tickets
c = original number of child tickets
a/c = 2/5
a = 2c/5
(a+70)/(c+300) = 1/3
(2c/5 + 70)/(c + 300) = 1/3
2c/5 + 70 = (c + 300)/3
2c + 350 = 5(c + 300)/3
6c + 1050 = 5(c + 300) = 5c + 1500
c = 450
a = 2c/5 = 2×450/5 = 2×90 = 180
Joshua sold therefore in total
180 + 70 = 250 adult tickets.
and by the way
450 + 300 = 750 child tickets.
To find the length of the side of a square when the area is known, find the square root of the area:
Side length = √729
Side Length = 27 feet.
