Answer:
a. 640 kernels
b. 3 pounds
Step-by-step explanation:
a:
Total kernels = 16 * 50 = 800
White kernels = 800 * 0.2 = 160
Yellow kernels = 800 * 0.8 = 640
b:
1 ear weight = 0.25 pounds
12 ears weight = 12 * 0.25 = 3 pounds
To find the solution to the given expression, we simply isolate the unknown variable m and perform the necessary operations. The solution is as follows.
(3/5)*(2m-10) = (2/3)*m + 10
15*[(3/5)*(2m-10) = (2/3)*m + 10]
9(2m-10) = 10m + 150
18m-90 =10m + 150
18m - 10m = 150 + 90
8m = 240
m = 240/8
m = 30
First, we multiply the whole expression to the least common denominator (LCD) which is 15. Multiplication and division were then performed accordingly. The terms containing the variable m were transposed to the left side of the equation. Mathematical operations were then applied to get the final value of m which is equal to 30.
Answer:
27.2 mm²
Step-by-step explanation:
Area of the triangle = ½*base*height
base = 8 mm
height = 6.8 mm
Area = ½*8*6.8
= 4*6.8
= 27.2 mm²
f(x)= -2x-3
Step-by-step explanation:
Step 1:
Let the sequence given here is -5, -7, -9, -11, -13 ......
Here the first term (a₁) of sequence is -5
And the common difference between the numbers in the sequence is
d= (-7-(-5)) = -7+5 = -2
Let the number of terms be x
Step 2;
To find the sequence function basic arithmetic sequence formula is
aₙ = a₁ + d( x-1)
Applying the values we get
f(X) = -5 + ((-2)(X-1))
on simplification
f(X) = -5 + (-2X+2)
f(X)= -5+2-2X
f(X)= -3-2X
Answer:
(36^t) / (6^(t^2)) is nonequivalent
(6^(t^2)) / (36^t) is equivalent
(6^(t^2)) * 36^t is nonequivalent
Step-by-step explanation:
We can use the exponential quotient law for this problem.
a^x / a^y = a^x - y
(6^(t^2)) / (6^2t) = (6^(t^2)) / (36^t)
