If x < 5, then which of the following must be true?-x < -5 -x > -5 -x < 5 -x > 5
Answers
If x > 5, than it stands to reason that -x < 5. Say x is 17. 17 > 5, that is true, but when you add a negative in front of 17, it becomes -17 > 5, which is not true, but -17 < 5 is. The third answer choice is correct.
Answer:
-x<5
Step-by-step explanation:
Vita has a pice of rope that is 5 meters long. She cuts the rope into pieces that are each 1/3 meter long. How many pieces does she cut?
Answers
Normally you would divide something like this by the cuts made. So if there were cuts of 2 inches on a 10 inch rope, then you should divide 10 by 2. It's the same with this:
Multiply by the reciprocal when you are dividing fractions.
An 8-ounce cup of gourmet coffee costs $4.50. If the unit price remains the same, how much would 3 quarts of coffee cost?
Answers
Since there are 32 fluid ounces in 1 quart and we need 3 quarts we multiply 32 and 3 and get the result of which is 96 we need to divide that by eight to get the correct number to multiply 4.50 by so we get the result of 12 now it is 12 times 4.50 which is 54 so it costs 54 dollars. I hope this was helpful.
1 quart = 32 fl oz. This means that if there are 3 quarts, and each quart contains 32 ounces, 3 quarts have 96 ounces. 3 quarts * 32 oz = 96 oz
Now, set up a proportion. 8 oz is to $4.50 as 96 oz is to "x"
8 oz = $4.50 96 oz = x
Cross multiply to solve.
4.50 * 96 = 8x 432 = 8x Divide both sides by 8: x = 54
3 quarts of coffee would cost $54. This doesn't make sense in a real life situation, but I'm confident that it is correct.
Which expression is equivalent to 27/125
Answers
For example:
once 27/125 is irreductible fraction
on an average day, a horse might drink 50 L, a sheep might drink 4 L, and a chicken might drink 200 mL. gow much water would a farm with 3 horses, 15 sheep and 12 chickens need for a day?
Answers
212.4 L 50×3=150 15×4=60 200×12=2400 2400 ml=2.4 L 150+60+2.4=212.4 L
One month, Jon worked 3 hours less than Chaya, and Amgelica worked 4 hours more than Chaya. Together they worked 196 hours. Find the number of hours each person worked.
Answers
Okay lets look at the problem first so Chaya is our X Value and we know that the total is 196 lets divide the total by 3 so we have 65.1 lets forget the point one for now know if each person worked 65 hours this would be over but we know that Jon Worked 3Hours less then Chaya that would put him at 62 Know we need to put that 3 hours to the side and remember we havnt used it yet And we know that Amgelica worked 4 more hours then Chaya andwe still have 4 hours left over so that puts her at 69 hours so Jon (a) worked 62 hours Amgelica (b)worked 69 hours and Chaya (c)at 65 a+b+c=196 62+69+65=196 I hope this helped