Answer:
<em>2/3 of the jar was filled with flour</em>
Step-by-step explanation:
The question is incomplete. Here is the complete question.
<em>A jar can hold 3/4 of a pound of flour. Austin empties 1/2 of a pound of flour into the jar. What fraction of the jar is filled? Enter your answer in numerical form.</em>
<em />
Given
<em>Amount a jar can hold a = 3/4 of a pound of flour</em>
<em />
<em>If Austin empties 1/2 of a pound of flour into the jar, then the amount emptied into the jar b = 1/2 pounds</em>
<em />
<em>Fraction of jar filled will be expressed as b/a as shown;</em>
<em>b/a = (1/2)/(3/4)</em>
<em>b/a = 1/2 ÷ 3/4</em>
<em>b/a = 1/2 * 4/3</em>
<em>b/a = 4/6</em>
<em>Simplify to the lowest term</em>
<em>a/b = 2*2/2*3</em>
<em>a/b = 2/3</em>
<em />
<em>Hence 2/3 of the jar was filled with flour</em>
Answer:
6x^7.
Step-by-step explanation:
The exponent property for this would be that
x^a * x^b = x^a + b.
So x^2 * x^5 = x^2 + 5 or x^7.
The other part is just multiplying the coefficients 3 and 2, which is 6.
Put these together and you get your answer 6x^7.
Given that the two triangles are similar:
=
=
6x + 28 = 4 x 25
6x + 28 = 100
6x = 100 - 28
6x = 72
x = 12
4:
2 dimes, 1 penny
21 pennies
1 dime, 2 nickels, 1 penny
4 nickels, 1 penny
