Answer:
36
Step-by-step explanation:
if we were decreasing it would be 9 but if we are increasing it, it would be 36
just multiply by 2 or divide by 2
Percent problems can be solved by writing equations. An equation uses an equal sign (= ) to show that two mathematical expressions have the same value. Percents are fractions, and just like fractions, when finding a percent (or fraction, or portion) of another amount, you multiply. ... Percent of the Base is the Amount.
Answer:
$79.08
Step-by-step explanation:
Find 20% of 65.90. 20% as a decimal is 0.20. Multiply 0.2 and 65.90.
65.90 x 0.20 = 13.18
Add 13.18 to the original price.
13.18 + 65.90 = 79.08
11. By proportion length representing 75% = = (75/200) * 8 = 3/8 * 8 = 3 cm answer
12. Length of line representing 10% = (100/10) * 8 = 80 cm answer
Answer:
1. x⁴³/³⁵
2. 1/x⁶
3. x⁴/2
Step-by-step explanation:
1. ⁷√x³. ⁵√x⁴
The above expression can be simplified as follow:
Recall:
ᵐ√aⁿ = aⁿ/ᵐ
⁷√x³ × ⁵√x⁴ = x³/⁷ × x⁴/⁵
Recall:
aⁿ × aᵐ = aⁿ⁺ᵐ
x³/⁷ × x⁴/⁵ = x⁽³/⁷ ⁺ ⁴/⁵⁾ = x⁴³/³⁵
Therefore,
⁷√x³. ⁵√x⁴ = x⁴³/³⁵
2. x¯³ / x⁵x¯²
The above expression can be simplified as follow:
Recall:
aⁿ × aᵐ = aⁿ⁺ᵐ
x⁵x¯² = x⁵ ⁺ ⁽¯²⁾ = x⁵ ¯ ² = x³
Thus,
x¯³ / x⁵x¯² = x¯³ / x³
Recall:
aⁿ / aᵐ = aⁿ ¯ ᵐ
x¯³ / x³ = x¯³ ¯ ³ = x¯⁶
Recall
a¯ⁿ = 1/aⁿ
x¯⁶ = 1/x⁶
Therefore,
x¯³ / x⁵x¯² = 1/x⁶
3. 5(x⁴)³ / 10x⁸
The above expression can be simplified as follow:
Recall:
(aⁿ)ᵐ = aⁿ×ᵐ
5(x⁴)³ / 10x⁸ = 5x¹² / 10x⁸
Recall:
aⁿ / aᵐ = aⁿ ¯ ᵐ
5x¹² / 10x⁸ = (5/10)x¹² ¯ ⁸ = 1/2 x⁴ = x⁴/2
Therefore,
5(x⁴)³ / 10x⁸ = x⁴/2