Answer:
x = 17
Step-by-step explanation:
To solve this equation, we can illustrate the algebraic concepts being employed and solve for the variable.
3(x - 4) = 2x + 5 Distribute the 3 into the parentheses.
3x - 12 = 2x + 5 Subtract 2x from both sides of the equation to combine like terms.
x - 12 = 5 Add 12 to both sides of the equation.
x = 17
A. Which reduction should she use so the picture fills as much of the frame as possible, without being too large?
Find the scale factor to get rom 7 1/3 inches to 5 1/3 inches:
5 1/3 / 7 1/3 = 0.7272
Now rewrite the fraction as decimals:
2/3 = 0.667
¾ = 0.75
5/9 = 0.555
The closest scale that would still fit the frame would be 2/3 because it is under 0.727.
B. How much extra space is there in the frame when she uses the reduction from Part A?
Multiply the original size by the scale factor to use:
7 1/3 x 2/3 = 4 8/9
Now subtract the scaled size from the original size:
7 1/3 – 4 8/9 = 2 4/9 inches extra
C. If she had a machine that could reduce by any amount, so that she could make the reduced picture fit in the frame exactly, what fraction would the reduction be?
Convert the scale from part A to a fraction:
0.72 = 72/99 which reduces to 8/11
Answer:
203 ; 245
Step-by-step explanation:
158 + 45= 203
question 2
203+42= 245
Answer:
Option A is the correct answer
Step-by-step explanation:
A. The difference of twice the cube of a number and 11
