Answer:
- 34 < x < 10
Step-by-step explanation:
Inequalities of the type | x | < a, always have a solution of the form
- a < x < a
given | x + 12 | + 5 < 27 ( subtract 5 from both sides )
| x + 12 | < 22, then
- 22 < x + 12 < 22 ( subtract 12 from all 3 intervals )
- 34 < x < 10
Answer:

Step-by-step explanation:
Given the rational expression:
, to express this in simplified form, we would need to apply the concept of partial fraction.
Step 1: factorise the denominator





Thus, we now have: 
Step 2: Apply the concept of Partial Fraction
Let,
= 
Multiply both sides by (x - 1)(x - 4)
= 

Step 3:
Substituting x = 4 in 





Substituting x = 1 in 





Step 4: Plug in the values of A and B into the original equation in step 2


Answer:
8 3/4 inches
Step-by-step explanation:
Total length of the rod = 24 1/2 inches
Carlos = 8 3/4 inches
Amanda = 6 3/8 inches
length of the rod remaining = Total length - ( Carlos + Amanda)
= 24 1/2 - (8 3/4 + 6 3/8)
= 49/2 - (35/4 + 51/8)
= 49/2 - ( 75+51/8)
= 49/2 - 126/8
= 196-126/8
= 70/8
= 8 6/8 inches
= 8 3/4 inches
Length of rod remaining = 8 3/4 inches
The number of salads Maeve eats per day if she made 15 salads for 3 days is 5 salads eaten per day.
<h3>Unit rate</h3>
Unit rate refers to the number of units of the first type of quantity corresponding to one unit of the second type of quantity.
- Number of salads = 15 salads
- Number of days = 3 days
Unit rate of salad eaten per day = Number of salads ÷ Number of days
= 15 ÷ 3
= 5 salads eaten per day
A salad is a food made primarily of a mixture of raw or cold ingredients, typically vegetables, usually served with a dressing such as vinegar or mayonnaise.
Therefore, the number of salads Maeve eats per day if she made 15 salads for 3 days is 5 salads eaten per day.
Learn more about unit rate:
brainly.com/question/4895463
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