Answer:
x-6 = -4
Step-by-step explanation:
3x - 8= -2
Add 8 to each side
3x - 8+8= -2+8
3x = 6
Divide by 3
3x/3 = 6/2
x =2
We want to find x-6
2-6 = -4
Assume that the length of the rectangle is "l" and that the width is "w".
We are given that:
(1) The length is one more than twice the base. This means that:
l = 2w + 1 .......> equation I
(2) The perimeter is 92 cm. This means that:
92 = 2(l+w) ...........> equation II
Substitute with equation I in equation II to get the width as follows:
92 = 2(l+w)
92 = 2(2w+1+w)
92/2 = 3w + 1
46 = 3w + 1
3w = 46-1 = 45
w = 45/3
w = 15
Substitute with w in equation I to get the length as follows:
l = 2w + 1
l = 2(15) + 1
l = 30 + 1 = 31
Based on the above calculations:
length of base = 31 cm
width of base = 15 cm
Answer:
Step-by-step explanation:
Xavier, Yolanda and Zara shared some money.
Let x represent Xavier's share
Let y represent Yolanda's share
Let z represent Zara's share.
Yolanda received 40% more money than Xavier. This means that
y = x + 40/100×x = x + 0.4x = 1.4x
Zara received 60% of Yolanda's share. This means that
z = 60/100× 1.4 = 0.6×1.4 = 0.84x
. If Zara received $1,176, then,
0.84x = 1176
x = 1176/0.84 = 1400
y = 1.4 × 1400 = $1960
z = 0.84 × 1400 = $1176
The sum of the money is
1400 + 1960 + 1176 = $4536
The answer is 67.93939393939394
