Juan has $20 and Julio has $40
Answer: 30 inches
Step-by-step explanation:
Given:
ABC-tringle
BH= 8 in - height
S= 120 in^2
AC-?
Solution:
S=1/2ab
120in=1/2a*8in
120=4a
4a=120
a=30 in
Answer:
Grandma baked 72 cakes
Step-by-step explanation:
Let x=biscuits cake baked by grandma
1/4x=chocolate
1/3x=nuts
1/4+1/3=3+4/12
=7/12x
Remaining
X-7/12x
=12-7x/12
=5/12x
1/2 of 5/12x=fruit
5/24x =fruit
Remaining
5/12x-5/24x=15
10-5/24x=15
5/24x=15
x=15÷5/24
=15*24/5
=360/5
=72
x=72 cakes
Grandma baked 72 cakes
Answer:
x = 12
Step-by-step explanation:
Solve for x:
(2 x)/5 - 4 = 8 - (3 x)/5
Put each term in (2 x)/5 - 4 over the common denominator 5: (2 x)/5 - 4 = (2 x)/5 - 20/5:
(2 x)/5 - 20/5 = 8 - (3 x)/5
(2 x)/5 - 20/5 = (2 x - 20)/5:
(2 x - 20)/5 = 8 - (3 x)/5
Put each term in 8 - (3 x)/5 over the common denominator 5: 8 - (3 x)/5 = 40/5 - (3 x)/5:
(2 x - 20)/5 = 40/5 - (3 x)/5
40/5 - (3 x)/5 = (40 - 3 x)/5:
(2 x - 20)/5 = (40 - 3 x)/5
Multiply both sides by 5:
2 x - 20 = 40 - 3 x
Add 3 x to both sides:
3 x + 2 x - 20 = (3 x - 3 x) + 40
3 x - 3 x = 0:
3 x + 2 x - 20 = 40
2 x + 3 x = 5 x:
5 x - 20 = 40
Add 20 to both sides:
5 x + (20 - 20) = 20 + 40
20 - 20 = 0:
5 x = 40 + 20
40 + 20 = 60:
5 x = 60
Divide both sides of 5 x = 60 by 5:
(5 x)/5 = 60/5
5/5 = 1:
x = 60/5
The gcd of 60 and 5 is 5, so 60/5 = (5×12)/(5×1) = 5/5×12 = 12:
Answer: x = 12
Answer:
(x+5) and (x-2)
Step-by-step explanation:
+5 and -2 multiply to 10 and add up to +3.
