Hey there! :D
First, we need to solve the absolute value.
|s-14| <0.5
Keep the s-14 the same, and make the 0.5 the same for one solution, and flip the sign and make 0.5 negatives for the other solution.
s-14 <0.5
s-14>-0.5
(first solution)
s-14<0.5
Add 14 to both sides.
s<14.5
(second solution)
s-14>-0.5
Add 14 to both sides.
s>13.5
The solutions are:
s<14.5; s>13.5
I hope this helps!
~kaikers
Answer:
Step-by-step explanation:
-7y = -4x + 9
7y = 4x - 9
y = 4/7x - 9/7
perp. -7/4
y - 3 = -7/4(x - 4)
y - 3 = -7/4x + 7
y = -7/4x + 10
Answer:
Absolute value equation is; |x - 25| ≤ 3
Minimum number of bolts is 22 while Maximum number of bolts is 28
Step-by-step explanation:
We are told that;
Each bag should have 25 bolts in it but 22 or 28 is acceptable.
Since 22 or 28 is acceptable, it means the allowable error is ±3.
Thus, if x is the number of bolts in the bag, the absolute value equation would be;
|x - 25| ≤ 3
Minimum number of bolts is 22 while maximum is 28
Answer:
A and C
Step-by-step explanation:
The order must always be the same.
Answer:
She has enough to make 4 batches of peanut butter and 6 batches of chocolate chip.
Step-by-step explanation:
26/2 = 13. There's enough flour to make the recipe 13 times over, however,
she only has the amount of butter to make a dozen of the first recipe. 9 divided by (3/4) = 12.
26/3 = 8.6, or 8 and 3/4ths of a batch with the flour. She has enough butter to make 9, but not enough flour, so she could make 8 batches of chocolate chip cookies.
She can make 12 batches of peanut butter cookies <em>alone</em>. Or she could make 8 batches of chocolate chip cookies <em>alone</em>. This means: It can't be C because she doesn't even have enough ingredients to make 22 batches of chocolate chip. It also can't be D because there's not enough ingredients for 28 batches of peanut butter <em>or </em>12<em> </em>chocolate chip.
<u>to make 4 batches of PB:</u>
cups of butter needed, and 4(2) = 8 cups flour needed.
so now she'd have 6 cups butter and 18 cups flour leftover.
This means, to make 6 batches CC:
3(6) = 18 cups flour, and 1(6) = 6 cups butter needed. She has enough to make 4 batches of peanut butter and 6 batches of chocolate chip.