Let X = the 29% alloy and Y = the 60% alloy.
They want a total of 80kg, so you have X +Y = 80
Rewrite that to get X = 80-Y
You also want 0.20X + 0.60Y = 0.52(80)
Replace X with 80-y:
0.20(80-y) + 0.60y = 0.52(80)
Simplify:
16 - 0.20y + 0.60y = 41.6
Combine like terms:
16 +0.40y = 41.6
Subtract 16 from each side:
0.40y = 25.6
Divide both sides by 0.40
y = 25.6 / 0.40
y = 64
Now you have Y replace y with 80 in X = 80-Y
X = 80 - 64
X = 16
They need 64 Kg of the 60% alloy and 16 Kg of the 20% alloy.
9, because one square megameter is equal to one million square kilometers.
The blanks in this two-column proof should be filled as follows:
<u>Statements Reasons</u>_______________
m∠1 = m∠3 Given
m∠CBA = m∠ABE + m∠CBD Angle Addition Postulate
m∠ABE = m∠3 + m∠2 Substitution Property of Equality
m∠CBD = m∠3 + m∠2 Substitution Property of Equality
m∠ABE ≅ m∠CBD Transitive Property of Equality
<h3>What is the Angle Addition Postulate?</h3>
In Mathematics, the Angle Addition Postulate states that the measure of an angle formed by two (2) angles that are placed side by side to each other is equal to the sum of the measures of the two (2) angles.
This ultimately implies that, the Angle Addition Postulate can be used to determine the measurement of a missing angle in a geometric figure or it can be used for calculating an angle that is formed by two (2) or more angles such as m∠CBA = m∠ABE + m∠CBD.
Read more on Angle Addition Postulate here: brainly.com/question/24746945
#SPJ1
Y=-3x+4
slope is -6/2=-3
y-intercept 4
0.83Answer:
Step-by-step explanation:
83% means 83 per 100 or 83/100 if you divide 83 by 100 you get 0.83
