Answer:
(12 2/3)/( 2 1/3)= 38/7 or 5 3/7 or 5.43 decimal
Step-by-step explanation:
Simplify the following:
(12 + 2/3)/(2 + 1/3)
Put 2 + 1/3 over the common denominator 3. 2 + 1/3 = (3×2)/3 + 1/3:
(12 + 2/3)/((3×2)/3 + 1/3)
3×2 = 6:
(12 + 2/3)/(6/3 + 1/3)
6/3 + 1/3 = (6 + 1)/3:
(12 + 2/3)/((6 + 1)/3)
6 + 1 = 7:
(12 + 2/3)/(7/3)
Put 12 + 2/3 over the common denominator 3. 12 + 2/3 = (3×12)/3 + 2/3:
((3×12)/3 + 2/3)/(7/3)
3×12 = 36:
(36/3 + 2/3)/(7/3)
36/3 + 2/3 = (36 + 2)/3:
((36 + 2)/3)/(7/3)
36 + 2 = 38:
(38/3)/(7/3)
Multiply the numerator by the reciprocal of the denominator, (38/3)/(7/3) = 38/3×3/7:
(38×3)/(3×7)
(38×3)/(3×7) = 3/3×38/7 = 38/7:
Answer: 38/7
Answer:
Step-by-step explanation:
∠E = ∠B
6x - 39 = 3x
6x - 3x = 39
3x = 39
x = 39/3
x = 13
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m represents the slope of the line
c represents the y intercept
The equation of the given line is
2x + 4y = 20
4y = - 2x + 20
Dividing through by 4, it becomes
y = - x/2 + 5
Comparing with the slope intercept form, slope = - 1/2
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 6, 3) is - 1/2
To determine the y intercept, we would substitute m = - 1/2, x = - 6 and y = 3 into y = mx + c. It becomes
3 = - 1/2 × - 6 + c
3 = 3 + c
c = 3 - 3 = 0
The equation becomes
y = - x/2
Answer:
2 more muffins
Step-by-step explanation:
<em>Since, </em>
<u><em>Given that:</em></u>
<em>Laila made 12 Muffins</em>
<em>Shannon made 10 Muffins</em>
<u><em>Question to Answer:</em></u><em>
How many more did Laila make?</em>
<u><em>Solve:</em></u>
<em>Since it asking how many more laila made that means we have to subtract to find how many more laila has.</em>
<em>As given, we know that Laila made 12 Muffins and Shannon made 10 Muffins then:</em>
<em>Laila Muffins - Shannon Muffins</em>
<em>Which also means:</em>
<em>12 - 10</em>
<em>Which,</em>
<em>12 - 10 = 2</em>
<em>Hence, Laila makes 2 more Muffins than Shannon</em>
<em />
<u><em>Kavinsky</em></u>
