Combine like terms that share a common variable. If a scalar multiple is outside the parentheses, use the distributive property to expand the expression.
15) I cannot read the whole expression.
16) 4n - n = 3n
17) -3x - 9 + 15x = 12x - 9
18) -9k + 8k = -k
19) -16n - 14n = -30n
20) 15n - 19n = -4n
21) - 4 + 7(1 - 3m) = -4 + 7 - 21m = -21m + 3
22) -5n + 3(6 + 7n) = -5n + 18 + 21n = 16n + 18
23) -2n - (9 - 10n) = -2n - 9 +10n = 8n - 9
24) 10 - 5(9n - 9) = 10 - 45n + 45 = -45n + 55
25) 9a + 10(6a - 1) = 9a + 60a - 10 = 69a - 10
26) -9(6m - 3) + 6(1 + 4m) = -54m + 27 + 6 + 24m = -30m + 33
27) -10(1 - 9x) + 6(x - 10) = -10 + 90x + 6x - 60 = 96x - 70
28) 5(-2n + 4) + 2(n + 3) = -10n + 20 + 2n + 6 = -8n + 26
Answer:
The number of children are 4 out of which 3 are girls
Step-by-step explanation:
Data provided in the question:
P(Two randomly selected children are girls) =
now,
let the number of children be 'n'
the number of girls be 'x'
thus,
P(Two randomly selected children are girls) = =
also,
=
thus,
=
or
=
or
2x(x-1) = n(n-1)
now
for x = 3 and n = 4
i.e
2(3)(3-1) = 4(4-1)
12 = 12
hence, the relation is justified
therefore,
The number of children are 4 out of which 3 are girls
Answer:
Total tax = $25.51
Step-by-step explanation:
Total collection = $1265.23
Tax-Free amount = $840
so
Taxable amount = $1265.23 - $840
= $425.23
Given that the taxable amount was taxed at 6%
Thus,
The total tax = 6% of 425.23
= 6/100 × 425.23
= 0.06 × 425.23
= $25.51
Therefore,
Answer: B aka 3
Step-by-step explanation: The area of a kite is half the product of its diagonals
Answer:
Part A:$1,600
Part B:$2,000
Part C:$300
Step-by-step explanation:
Part A: What you do is it tells you to find out how much money is spent on housing and that is 80% of the bill so you do 2,000*80%=1,600.
Part B: It tells you what is it was actually 2,500 how much will you spend on housing so you just 2,500*80%=2,000.
Part C: What you do is it asks how much will you spend on food if you have 2,000. So it will be 2,000*15%=300.