Answer:
-4 5/12
Step-by-step explanation:
-23/3 + (-11/2) + 35/4
<em>Find a common denominator (12).</em>
-92/12 + (-66/12) + 105/12
<em>Reform the equation to have this as a single fraction.</em>
(-92 + (-66) + 105)/12
<em>Subtract 66 from -92 to get -158.</em>
(-158 + 105)/12
<em>Add 105 to -158 to get -53.</em>
-53/12
<em>Convert into a mixed number by dividing by 12.</em>
-4 5/12 (Choice A) is your answer.
Answer:
Question 16 A restaurant manager is listing 7 items on a menu. Of these menu items, 3 are appetizers and 4 are main courses. All of the appetizers will be listed befo
Step-by-step explanation:
before all of the main courses. In how many ways can the restaurant manager list the items?
Answer: 10
<u>Step-by-step explanation:</u>
Older sister: x
Younger + Older = 26
x + 4 + 2x = 52 <em>multiplied everything by 2 to clear the denominator</em>
3x + 4 = 52 <em>added like terms</em>
3x = 48 <em>subtracted 4 from both sides </em>
x = 16 <em>divided both sides by 3</em>
Answer: y = 5/2 x + 5 or more clearly:
Step-by-step explanation: Slope intercept form y = mx + b
m is the slope, b is the y-intercept
To write the equation for a perpendicular line
Both lines could share the y-intercept, (0,5) so the "b" term can be the same. But it may be different. The slope of a perpendicular line is the reciprocal of the original slope with the opposite sign.
So invert 2/5 to become 5/2 and change the negative sign to positive.
The resulting equation is y = 5x/2 + 5 or y = 2.5x + 5
2s + s = 36
3s = 36
s = 36/3
s = 12