We can set Charmaine's age as x. If William is 3 years older, than his age would be 3 + x.
Charmaine = x
William = 3 + x
Their ages added up together is 76, and we need to multiply Charmaine's age by 3 and William's age by 2.
3x + 2(3+x) = 76
3x + 6 + 2x = 76
5x = 70
x= 14
Charmaine is 14 years old
William's age is Charmaine's age plus 3.
William is 17 years old.
1. GIVEN
2. GIVEN
3. ∆MPR IS ISOSCELES WITH VERTEX P
4. COMMON
5. BY RIGHT ANGLE HYPOTNUSE SIDE(R.H.S.)
6.BY C.P.C.T.(Congruent Parts Of Congruent Triangle)
HOPE THIS WILL HELP U
Answer:
B. a = 5
Step-by-step explanation:
3(a - 4) + 1 = 9 - a
Distribute the 3 into the parenthesis.
3a - 12 + 1 = 9 - a
Add -12 and 1.
3a - 11 = 9 - a
Add a to both sides.
4a - 11 = 9
Add 11 to both sides.
4a = 20
Divide both sides by 4.
a = 5.
Proof:
3(a - 4) + 1 = 9 - a
Substitute variable.
3(5 - 4) + 1 = 9 - 5
Subtract inside parenthesis.
3(1) + 1 = 9 - 5
Multiply 3 and 1.
3 + 1 = 9 - 5
Add 3 and 1.
4 = 9 - 5
Subtract 5 from 9.
4 = 4.
Answer:
D 36
Step-by-step explanation:
<em>Write the information algebraically</em>
c = 3a
c + a = 48
c = children, a = adults
<em>In the second sentence (in bold), we can replace c with 3a</em>
c + a = 48 → 3a + a = 48
<em>Simplify</em>
3a + a = 48 → 4a = 48 → a = 12 (divide both sides by 4)
<em>We can then substitute or plug in a = 12 into the original equation:</em>
c + a = 48 → c + 12 = 48 → c = 36 (subtract 12 from both sides)
<h3>There are 36 children</h3>