Answer:
Size of each group = 
Step-by-step explanation:
Total number of paint brushes = x
Since each the three groups are equally sized, to get the number of paintbrushes in a group, we will have to divide the total number of paint brushes by 3
∴ We have, number of paint brushes in a group = 
= 
this is also the same thing as saying
×
This shows that the size of the new group is the same as
the size of the original group
The slope of the line passing through (1,-5) and (4,1) is 2
Answer:
see explanation
Step-by-step explanation:
c = a - 2b
= < 4, 5, 6 > - 2 < 1, 2, 3 > ← multiply each component by 2
= < 4, 5, 6 > - < 2, 4, 6 > ← subtract corresponding components
= < 4 - 2, 5 - 4, 6 - 6 > = < 2, 1, 0 >
| c | =
=
= 
-------------------------------------------------------------------------------------------------
sum the product of corresponding components
u.v = (3 × 2) + (- 2 × - 1) + (4 × - 6) = 6 + 2 - 24 = - 16
Answer:
x=-1
Step-by-step explanation:
Okay, First you subtract 0x to the other side:
0x-0x+2=1x-0x+3
2=1x+3
Subtract 3 on the other side:
2-3=1x+3-3
-1=1x
Divide:

x=-1
Answer:
Small one: 18 and 1-thirds yards² Large one: 43.5 yards²
Step-by-step explanation:
Area of rectangle= base*height
Large one: base = 6, height= 7.25 (7 and 1-fourth)
Area= 43.5yards²
Small one: base = 3(2/3 or 2-thirds), height= 5
change the mixed fraction 3(2/3) to 11/3
area= 11/3 * 5 = 55/3
change to mixed fraction which = 18(1/3)