3x-10>4+7x-3
3x-10>1+7x
-4x-10>1
-4x>11
x<-11/4
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Answer:
x ≤ 1
Step-by-step explanation:
3x+4≤ 7
3x + 4 - 4 ≤ 7 - 4
3x≤3
x ≤ 1
The new mean age will be greater than 14.2 years because the teacher is older than the previous mean.
Answer:
35% chose baseball or soccer
Step-by-step explanation:
baseball or soccer = 20% + 15% = 35%
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The categories add to 100%, so are mutually exclusive, as you expect when they are "favorite sport" categories. Hence the union of two of them will be their sum. (Otherwise, you'd have to subtract the amount by which the categories overlap.)
Answer:
y = 3/2
, x = 3/2
Step-by-step explanation:
Solve the following system:
{x + y = 3 | (equation 1)
10 x = 15 | (equation 2)
Divide equation 2 by 5:
{y + x = 3 | (equation 1)
0 y+2 x = 3 | (equation 2)
Divide equation 2 by 2:
{y + x = 3 | (equation 1)
0 y+x = 3/2 | (equation 2)
Subtract equation 2 from equation 1:
{y+0 x = 3/2 | (equation 1)
0 y+x = 3/2 | (equation 2)
Collect results:
Answer: {y = 3/2
, x = 3/2