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Answer:
$6650
Step-by-step explanation:
→ Calculate the decimal multiplier
100 - 30 = 70
70 ÷ 100 = 0.7
→ Multiply the decimal multiplier by the cost
9500 × 0.7 = 6650
Answer:
Step-by-step explanation:
1).
Comparing exponents on both the sides.
x² + 2x = -1
x² + 2x + 1 = 0
(x + 1)² = 0
x = -1
2).
By comparing exponents,
x - 3 = 3(x + 1)
x - 3 = 3x + 3
3x - x = 3 + 3
2x = 6
x = 3
3).
By comparing exponents,
5 - k = 2(3 - k)
5 - k = 6 - 2k
2k - k = 6 - 5
k = 1
4).
By comparing exponents,
x + 3 = 3(2x + 6)
x + 3 = 6x + 18
6x - x = 3 - 18
5x = - 15
x = -3
5).
x - 2 = 0
x = 2
Answer: she had 18 nickels and 7 dimes.
Step-by-step explanation:
The worth of a dime is 10 cents. Converting to dollars, it becomes
10/100 = $0.1
The worth of a nickel is 5 cents. Converting to dollars, it becomes
5/100 = $0.05
Let x represent the number of dimes that she has in her coin purse.
Let y represent the number of nickels that she has in her coin purse.
Alison has 1.60 worth of nickels and dimes in her coin purse. This means that
0.1x + 0.05y = 1.6 - - - - - - - - - - - 1
She has 11 more nickels than dimes. It means that
y = x + 11
Substituting y = x + 11 into equation 1, it becomes
0.1x + 0.05(x + 11) = 1.6
0.1x + 0.05x + 0.55 = 1.6
0.15x = 1.05
x = 1.05/0.15
x = 7
y = x + 11 = 7 + 11
y = 18
Step-by-step explanation:
1.
36
2×18
2×9
3×3 therefore prime factorization is 2²×3²
2.
42
2×21
3×7 therefore prime factorization is 2×3×7
3.
48
3×16
2×8
2×4
2×2 therefore prime factorization is 2⁴×3
4.
27
3×9
3×9 therefore prime factorization is 3³