Answer:
Carlos is 35 years old now
Step-by-step explanation:
Assume that Carlos is x years old now
∵ Carlos is x years old now
∵ Carlos is 33 years younger than Kristen
- Kirsten's age is the sum of x and 33
∴ Kirsten is x + 33 years old now
2 years ago
∵ Carlos's age = x - 2
∵ Kristen's age = x + 33 - 2 = x + 31
∵ Kristen's age was 2 times Carlos's age
- Equate Kristen's age by 2 times Carlos's age
∴ x + 31 = 2(x - 2)
- Simplify the right hand side
∴ x + 31 = 2x - 4
- Subtract x from both sides
∴ 31 = x - 4
- Add 4 to both sides
∴ 35 = x
∵ x represents Carlos's age now
∴ Carlos is 35 years old now
Answer:
The value of x is 3
Step-by-step explanation:
∵ Quadrilateral ABCD is congruent to quadrilateral JKLM
∴ AB = JK and BC = KL
∴ CD = LM and AD = JM
∵ BC = 8x + 7
∵ KL = 31
∵ BC = KL
→ Equate their right sides
∴ 8x + 7 = 31
→ Subtract 7 from both sides
∵ 8x + 7 - 7 = 31 - 7
∴ 8x = 24
→ Divide both sides by 8 to find x
∴ 
= 
∴ x = 3
∴ The value of x is 3
life: people tell others all the time how they feelwhethe it is appropriate or not.
Answer:
10.59%
Step-by-step explanation:
percentage of change is given by
{(old number - new number)/old number} * 100
_________________________
given
no. of student went to the first school dance = 340
no. of student went to the last school dance = 306
Percentage of change between two dance
= ((no. of student went to the first school dance - no. of student went to the last school dance)/ no. of student went to the fist school dance)*100
= (340 - 306)/340 *100
= (36/340 )*100 = 10.59%
The percent of change between the two dances 10.59%.
