Answer:
y = 2x
Step-by-step explanation:
Maria uses 2 centimeters of tape for each present she wraps, and we want a equation that shows the relationship between the number of presents x and the tape used y. To do this, we can establish a rule of three with the information given:
1 present wrapped -> 2 centimeters of tape
x presents wrapped -> y centimeters of tape
1/x = 2/y
x = y/2 -> y = 2x
From this relation, we know that to make x presents, Maria will use 2x centimeters of tape.
B would be 11 (if thats what youre asking)
Hope this helps!
Answer:
B) rose bush: $8, pot of ivy: $11
Step-by-step explanation:
12(8) + 13(11) = 239
remove parentheses: (a) = a
= 12 * 8 + 13 * 11
multiply the numbers: 12 * 8 = 96
= 96 + 13 * 11
multiply the numbers: 13 * 11 = 143
= 96 + 143
add the numbers: 96 + 143 = 239
= 239
3x - y + z = 5 . . . (1)
x + 3y + 3z = -6 . . . (2)
x + 4y - 2z = 12 . . . (3)
From (2), x = -6 - 3y - 3z . . . (4)
Substituting for x in (1) and (3) gives
3(-6 - 3y - 3z) - y + z = 5 => -18 - 9y - 9z - y + z = 5 => -10y - 8z = 23 . . (5)
-6 - 3y - 3z + 4y - 2z = 12 => y - 5z = 18 . . . (6)
(6) x 10 => 10y - 50z = 180 . . . (7)
(5) + (7) => -58z = 203
z = 203/-58 = -3.5
From (6), y - 5(-3.5) = 18 => y = 18 - 17.5 = 0.5
From (4), x = -6 - 3(0.5) - 3(-3.5) = -6 - 1.5 + 10.5 = 3
x = 3, y = 0.5, z = -3.5
