<span>Use the distributive property to rewrite each algebraic expression: Do not solve, just rewrite.
1) 8(x + 7) = 8x + 56
2) 5(x - 10) = 5x - 50
3) 6(11 + x) = 66 + 6x
</span><span>Factor each expression. (Pull a common factor from each number)
COMPLETED EXAMPLE: 27 + 12 = 3(9 + 4) → (3 is the shared factor for 27 and 12)
4) 12 + 36 = 12 (1 + 3)
5) 16 + 20 = 4 (4 + 5)
Solve each expression using the distributive property.
6) 4 x 82 = 4 (80 + 2) = 320 + 8 = 328
7) 12 x 44 = 12 (40 + 4) = 480 + 48 = 528
</span><span>8) Mrs. S bought 9 folders and 9 notebooks. The cost of each folder was $2.50. Each notebook cost $4. First, write an expression for the problem then find the total cost.
Expression = 9f + 9n = 9($2.50) + 9($4)
Total cost =</span>9($2.50) + 9($4) = $22.5 + $36 = $58.5
The train travel 20 kilometers in the southward direction to reach its original location.
Step-by-step explanation:
The given is,
First train travels east for 50 kilometers, then
Turns north and travels for 22 kilometers
It goes west for 50 kilometers
Step:1
Let, A - Distance of train travels from its starting point in Eastern direction at pq point
B - Distance train travels in northward direction at qr point
C - Distance of train travels in western direction at rs point
D - Distance of train travels in southward direction to reach its starting location at sp point
Step:2
Refer the attachment,
Distance of travel in northward direction and distance of travel in southward direction are equal.
qr = sp.............. (1) ( ∵ Eqn (1) from the Diagram)
20 km = 20 km
sp = 20 km
Result:
So, the distance of train travel to reach its original location in southward direction is 20 km.
Answer:
P (-1 , 0)
Step-by-step explanation:
M (-6 , 2) N (9 , -4) P (x , y)
horizontal distance of M and N = 9 - (-6) = 15
vertical distance of M and N = 2 - (-4) = 6
1/3 from x coordinate of M (-6): -6 + 15/3 = -1 This is x coordinate of point P
1/3 from y coordinate of M (2): 2 - 6/3 = 0 This is y coordinate of point P
P (x , y) i.e P (-1 , 0)
check: distance of MP = √(-1 - (-6))² + (0 - 2)² = √29 = 5.385
distance of PN = √(-1 - 9)² + (0 - (-4))² = √116 = 10.77
MP / PN = 5.385 / 10.77 = 0.5 = 1/2
Answer:
I would say that it's y = -4
Step-by-step explanation:
Because if you're shifting to the left you are decreasing.
If you were to move left on a graph you'd be going towards the negative side.
Divided 300 by 30. Which is 10
