Here is your answer friend
Answer:
rhombus
Step-by-step explanation:
It is helpful to plot the points on a graph. There, you can see that the rise and run of each segment are 1 and 4 (or vice versa). This tells you they are the same length, but not perpendicular.
A quadrilateral with all sides the same length, but not perpendicular, is a rhombus.
Answer:
B
Step-by-step explanation:
both sides are equal to begin with so any x that you put in, will get multiplied by 7 and have 3 added to it
Answer:
6
Step-by-step explanation:
Cost per item is found by dividing the cost by the number of items. If the woman bought n items for $120, the cost of each item is $120/n. If the woman bought 24 more items, n+24, at the same price, then the cost per item is $120/(n+24). The problem statement tells us this last cost is $16 less than the first cost:
120/(n+24) = (120/n) -16
Multiplying by n(n+24) gives ...
120n = 120(n+24) -16(n)(n+24)
0 = 120·24 -16n^2 -16·24n . . . . . . subtract 120n and collect terms
n^2 +24n -180 = 0 . . . . . . . . . . . . . divide by -16 to make the numbers smaller
(n +30)(n -6) = 0 . . . . . . . . . . . . . . factor the quadratic
The solutions to this are the values of n that make the factors zero: n = -30, n = 6. The negative value of n has no meaning in this context, so n=6 is the solution to the equation.
The woman bought 6 items.
_____
Check
When the woman bought 6 items for $120, she paid $120/6 = $20 for each of them. If she bought 6+24 = 30 items for the same money, she would pay $120/30 = $4 for each item. That amount, $4, is $16 less than the $20 she paid for each item.
Answer:
Total inventory: $175,000
Inventory in the stockroom: $35,000.
Inventory on the selling floor: $140,000.
Step-by-step explanation:
Let x be the the total inventory.
We have been given that in the Holiday Shop the manager wants 20% of the total inventory in the stockroom. You placed $35,000 of inventory in the stockroom.
We can set an equation such that 20% of x equals $35,000.
Since $35,000 of inventory in the stockroom, so we will subtract $35,000 from $175,000.
Therefore, $140,000 of the inventory on the selling floor.
