Answer:
(C) 4|5 -2x| > 68
Step-by-step explanation:
You can solve each of the inequalities to see if their solutions match the given numbers, or you can start with the given numbers and see what sort of inequality you end up with.
If you plot the given "solution" on a number line, you find that the numbers -6 and 11 are the same distance from x=2.5. That distance is 8.5 units. (One way to deterimine this is to average -6 and 11, then subtract that average from 11 to find the distance.
So, we can write an inequality describing values of x that are more than 8.5 units from 2.5:
|x -2.5| > 8.5
and it will have the solution x < -6 or x > 11.
Multiplying this by 2, it can become ...
|2x -5| > 17
Of course, since the absolute value function doesn't care whether its argument is positive or negative, we can also write this as ...
|5 -2x| > 17
This tells you right away which answer choice is appropriate. Further confirmation can be had by multiplying this by 4:
4|5 -2x| > 68 . . . . . . matches selection C
Answer:
length = 48 feet , width = 32 feet
Step-by-step explanation:
Using
2W + 2L = 160 with W = L - 16 , then
2(L - 16) + 2L = 160 ← distribute and simplify left side
2L - 32 + 2L = 160
4L - 32 = 160 ( add 32 to both sides )
4L = 192 ( divide both sides by 4 )
L = 48
Substitute L = 48 into W = L - 16
W = 48 - 16 = 32
Thus length = 48 feet and width = 32 feet
Answer:
the answer is right there x.8.90.^.34>^
Step-by-step explanation:
Answer:
Part A
= 9 flowers
Part B
= 5 flowers
Step-by-step explanation:
Emily has 59 flowers. She wants to put the flowers in 6 vases with the same number in each vase.
Part A: What is the greatest number of flowers she can put in each vase?
This is calculated as:
59 flowers ÷ 6 vases
= 9 5/6 flowers
Therefore, the greatest number of flowers she can put in each vase is 9 flowers
Part B: How many flowers will Emily have left over?
We have to calculate the number of flowers in the 6 vases above
= 9 flower × 6
= 54 flowers
Hence:
= 59 flowers - 54 flowers
= 5 flowers
Therefore, Emily would have 5 flowers left over.
3. First start by making the mixed number into an improper fraction
15/5 butter for 1 batch; 15/4 batches
then simply multiply
11 and 1/4 cups of butter are needed to make 3 and 3/4 batches.
5. (I might not have gotten this one right btw) First you need to figure out how many books she read in one day.
6/5 = 1.2
Then multiply this number by 10
1.2 * 10 = 12
then multiply 1.2 * 20
1.2 * 20 =24
So Mr Barker can read 12 books in 10 days, and 24 books in 20 days.
6. change the mixed numbers to improper fractions
7/4 cups of cereal and 9/2 bowls of cereal
multiply the fractions together
7/4 * 9/2 = 63/8
change back to a mixed number
7 and 7/8
So Mr. N eats 7 and 7/8 cups of cereal every week (who measures out their cereal each morning anyway :), hope this helps!)
