Answer: 131.25 ounces
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Explanation:
We have two spices. Call them spice A and spice B
Spice A is 30% salt. We do not know how much of this spice to add, so we'll call it x. The x is a placeholder for a number
So on your paper you might write
x = amount of spice that is 30% salt (amount in ounces)
30% of x = 0.30*x is the amount of pure salt we have in spice A
Spice B is 65% salt. We have 175 ounces of this stuff.
65% of 175 = 0.65*175 = 113.75 ounces are pure salt
So we have 0.30x+113.75 ounces of total pure salt from the two spices combined
The total mix is x+175 ounces. We want 50% of the total mix to be pure salt, so 0.50*(x+175) is the expression that represents this.
Set the expression 0.30x+113.75 and 0.50*(x+175) equal to each other. Solve for x
0.30x+113.75 = 0.50*(x+175)
0.30x+113.75 = 0.50*x+0.50*175
0.30x+113.75 = 0.50*x+87.5
0.50*x+87.5 = 0.30x+113.75
0.50*x-0.30x = 113.75-87.5
0.20x = 26.25
x = 26.25/0.20
x = 131.25
Answer:
Between -2 and 0
Step-by-step explanation:
(1)
- Law of sines to solve for
:
- The sum of the measures of interior angles of any triangle is
. Use this to solve for
:
- Law of cosines to solve for
:
(2)
- Sum of interior angles:
- Law of sines to solve for
:
(3)
- Sum of interior angles:
- Law of sines to solve for
and
:
Don't forget to provide units for the side lengths solved for above!
<h3>
Answer: Choice C</h3>
Notice how z + 0.13z = 1z + 0.13z = (1+0.13)z = 1.13z
The 0.13z represents the increase of 13%
Quadratic
y = ax^2 + bx + d
c (x) = ax^2 + bx + d
c (3) = a (3^2) + b (3) + d
c (3) = 9a + 3b + d = 15.50
c (7) = a (7^2 + b (7) + d
c (7) = 49a + 7b + d = 23.50
c (12) = a (12^2) + b (12) + d
c (12) = 144a + 12b + d = 56
solve using simultaneous equations... to get a b and d
use that to solve for x = 5
hope this helps?