Number of fish to be bought = 6
Price of each fish = x
⇒ Total price of fish bought = 6x
We know that the total cost can not be $2 more or less than $36
⇒ 36-2 ≤ 6x ≤ 36+2
⇒ 34 < 6x ≤ 38
Let's look at all the options and see which equation matches the above inequality.
A) |36+6x| ≤ 2
Since the above is a mod function, it can be written as:
⇒ -2 ≤ 36+2x ≤ 2
⇒ -38 ≤ 2x ≤ -34
⇒ -19 ≤ x ≤ -17
This doesn't match with the above. Hence, this is not the correct option.
B) |6x+2| ≤ 36
⇒ -36 ≤ 6x+2 ≤ 36
⇒ -38 ≤ 6x ≤ 34
This also doesn't match with the required inequality. Hence, this option is not correct
C) |6x-2|<36
⇒ -36 ≤ 6x-2 ≤36
⇒ -34 ≤ 6x ≤ 38
This also doesn't match with the required inequality. Hence, this option is not correct
D) |36-6x| ≤ 2
⇒ -2 ≤ 36-6x ≤ 2
⇒ -38 ≤ -6x ≤ -34
Multiplying the above by -1
⇒ 38 ≥ 6x ≥ 34
or 34 ≤ 6x ≤ 38
This inequality matches with the required one. Hence, D is the correct option.
1 1
2 3
3 6
4 10
5 15
6 21
7 28
8 36
9 45
10 55
11 66
12 78
13 91
14 105
15 120
16 136
17 153
18 171
19 190
20 210
21 231
22 253
23 276
24 300
here is a spreadsheet to help you understand the stair problem notice for 1 step 1 block, 2 step, 3 block, 3 step, 6 block and so on notice the blocks for the number of a step is that step plus all the other blocks needed to make all the one(s) below it. Notice it takes 105 blocks to make 14 steps.
So if you are familiar with the summation process you would add the number that go with that stair with all the stairs below it. example step 5 blocks would be 5 + 4 + 3 + 2 +1 or 15 blocks. I hope this gets you started. The second part I do not understand the problems because they are not equations. NO equal signs
glad if it helps
Answer:
Step-by-step explanation:
Beth earns $54 per day and $10 for each extra hour she works. Ray earns $60 per day and $8 for each extra hour he puts in. They both work five days a week. The equations show their weekly earnings with respect to how many extra hours they work.
Beth: y = 270 + 10x
Ray: y = 300 + 8x
This system is graphed below.
Add all the units together 8+11+6+8=45
then divide by the the number of units there are which is 5 so 45÷5 =9
Answer:
If both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.
Step-by-step explanation:
The information provided is as follows:
- Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24.
- Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18.
The variable <em>x</em> is the number of pairs of pants.
The total cost function for Kelsey will be:
The total cost function for Jeana will be:
Consider that both pay the same total cost for their purchases.
Compute the value of <em>x</em> as follows:
Thus, if both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.
