Answer:
Answer is <em>900</em>.
Step-by-step explanation:
To find:
Increase #500 in the ratio 16:10
Solution:
<em>New Number: Old Number = 16:10</em>
We are given the old number as 500.
Let the new number after increase = 
Now, using the above ratio:
<em />
<em>: </em>500<em> = </em>16:10

Therefore, the increased value of 500 in the ration 16:10 is <em>900</em>.
Answer:
34$
Step-by-step explanation:
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Answer:
See below.
Step-by-step explanation:
5a)
In an isosceles triangle, the angles opposite the congruent sides are congruent.
m<A = 40 deg
m<B = 40 deg
m<A + m<B + m<C = 180
40 + 40 + m<C = 180
m<C = 100 deg
5b)
In a right triangle, one angle is a right angle.
m<A = 40 deg
m<B = 90 deg
m<A + m<B + m<C = 180
40 + 90 + m<C = 180
m<C = 50 deg
Two inequalities that represent this situation:
First one is w>5 because they are planting more than 5 acres with wheat, or w.
Second is w+c

27 because the amount of wheat + corn (w+c) has to be less than or equal to 27.
Answer:
1 = - 4 - 14 √3
2 = 9 - 11 √3
Step-by-step explanation:
Question 1
(-4√3 + 2)(√3 + 4)
Apply FOIL method
= (-4√3) √3 + (-4√3) . 4 + 2 √3 + 2 . 4
Apply minus-plus rules: + (-a) = -a
= -4 √3 √3 - 4 . 4 √3 + 2 √3 + 2 . 4
Simplify
= - 4 - 14 √3
Question 2
(-3 + √3)(1 + 4 √3)
Apply FOIL method
= (-3) . 1 + (-3) . 4 √3 + √3 . 1 + √3 . 4 √3
Apply minus-plus rules: + (-a) = -a
= -3 . 1 - 3 . 4 √3 + 1 . √3 + 4 √3 √3
Simplify
= 9 - 11 √3