Answer:
200 grams
Step-by-step explanation:
Let us represent
The number of grams of
30% smarties = x
20% smarties = y
Hence:
x + y = 500
x = 500 - y
Hence:
30% × x + 20% × y = 24% × 500
0.3x + 0.2y = 120
Substitute 500 - y for x
Hence:
0.3(500 - y) + 0.2y = 120
150 - 0.3y + 0.2y = 120
Collect like terms
- 0.3y + 0.2y = 120 - 150
- 0.1y = -30
y = -30/0.1
y = 300
Solving for x
x = 500 - y
x = 500 - 300
x = 200
Hence,
The number of grams of
30% smarties = x = 200 grams
20% smarties = y = 300 grams
Therefore:
the mass of the 30% mix is required to make a 500 gram mixture that will have 24% Smarties by mass is 200 grams
Answer: see table below
<u>Step-by-step explanation:</u>
Divide each x-value (on the left side of the table) by 3 to find the y-value (on the right side of the table).
See whether you agree with the following statements based upon the diagram:
<span>Vea si está de acuerdo con las siguientes declaraciones basadas en el diagrama:
</span> 100 + y
tan 60 = x / y and tan 30 = -------------
sqrt(3)
100 + y
Then x = sqrt(3)*y and x = -------------
sqrt(3)
100 + y
From these 2 equations we see that sqrt(3)*y = --------------
sqrt(3)
100 + y
From these 2 equations we see that sqrt(3)*y = --------------
<span>De estas 2 ecuaciones vemos que sqrt(3)
</span>
Then 3y = 100 + y, so that 2y = 100 and y = 50 degrees (answer)
x x
Again, tan 60 deg = ------- => sqrt(3) = --------------- y 50
Then 50 sqrt(3) = x (answer)
Answer:
Measure the angels to find and acute angle, right angle, or obtuse angle