<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
Answer:
The given statement is true.
Step-by-step explanation:
In order to inscribe a circle in a triangle, the circle's center must be placed at the incenter of the triangle.
This statement is true.
The INCENTER is the center of the circle that is inscribed in the triangle. Like the centroid, the incenter is always inside the triangle.
Answer:
The last answer choice: Phillip will lose (1/2) of his points in his next crash.
Step-by-step explanation:
For every crash, Phillips points will continue to reduce by (1/2) the amount that he currently has. That means after 1 crash, he will 5,000 points left. After 2 crashes, he will have 2,500 points left. After 3 crashes, he will have 1250 points left. After 4 crashes, he will have 625 points left, and so on like that.
Answer: 4 units
Step-by-step explanation:
Answer:
Rs. 23520
Step-by-step explanation:
Given that :
At 12% profit ; sales price = 18,816
At (12 + 3)% profit ; sales price = x
Hence,
0.12 = 18,816
0.15 = x
Cross multiply ;
0.12x = 0.15 * 18816
0.12x = 2822.4
x = 2822.4 / 0.12
x = 23520
Hence, sales price for a 3% increaa in profit should be Rs. 23520
