#8 is D
#9 is C
#10 is D
#11 is B
#12 is A
#13 is A
#14 is A
#15 is D
Step-by-step explanation:
Remember that 6/6 = 1, so we can use that knowledge to our advantage.
1/2 + 1/2 is one of them, because 1/2 + 1/2 = 2/2 = 1.
1/4 + 1/4 + 1/4 + 1/4 is one of them, because they equal 4/4 = 1.
1/3 + 1/3 + 1/3 is one of them, because they equal 3/3 = 1.
STEP 1:
identify variables and equations
x= larger number
y= smaller number
FIRST EQUATION
x + y= 42
SECOND EQUATION
y= 2x - 63
STEP 2:
substitute the y value in second equation in for y in first equation
x + y= 42
substitute y value from 2nd equation
x + (2x - 63)= 42
combine like terms
3x - 63= 42
add 63 to both sides
3x= 105
divide both sides by 3
x= 35 larger number
STEP 3:
find y value; substitute step 2 x value into either original equation
x + y= 42
35 + y= 42
subtract 35 from both sides
y= 7 smaller number
ANSWER: larger number is x= 35; smaller number is y= 7.
Hope this helps! :)
11 - 3m; m = 2 therefore
11 - 3 · 2 = 11 - 6 = 5
Answer: c. 5
----------------------------------------
Answer: b. yx - 4
x = 6 and y = 2
2 · 6 - 4 = 12 - 4 = 8
Item 1:
((1450 * 0.10) + 1450) = 1595
or
(1450 * 1.1) = 1595
Item 2:
((850 * 0.10) + 850) = 935*2= 1870
or
(850 * 1.1) = 935*2 = 1870
Total Cost:
1595 + 1870 = 3465
