Answer:
i got it wrong i don't want to give the wrong answer
question 4
smaller answer is -9
larger answer is 2
Step-by-step explanation:
i did the test
Answer:
41 years old.
Step-by-step explanation:
Let x represent age of younger child.
We have been given that a mother has two children whose ages differ by 5 years. So the age of older child would be
.
The sum of the squares of their ages is 97. We can represent this information in an equation as:

Let us solve for x.



Divide both sides by 2:






Since age cannot be negative, therefore, age of younger child is 4 years.
Age of older child would be 
Therefore, the age of older child would be 9 years.
We have been given that the square of the mother's age can be found by writing the squares of the children's ages one after the other as a four-digit number.
Square of 4: 
Square of 9:
.
Square of mother's age: 
To find mother's age, we need to take positive square root of 1681 as:

Therefore, the mother is 41 years old.
answer:
23 and 32 are not symmetrical primes because they are not prime numbers
Answer:
x = 4
y = 6
z = 5
Step-by-step explanation:
Let
bags of pecans = x
bags of walnuts = y
bags of almonds = z
x + y + z = 15
3x + 3.5y + 4z = 53
Two more bags of walnuts were sold than pecans.
Walnuts = x + 2
x + y + z = 15
3x + 3.5y + 4z = 53
x + x + 2 + z = 15
3x + 3.5(x+2) + 4z = 53
2x + z = 15 - 2
3x + 3.5x + 7 + 4z = 53
2x + z = 13 (1)
6.5x + 4z = 46 (2)
Multiply (1) by 4
8x + 4z = 52 (3)
6.5x + 4z = 46 (2)
Subtract (2) from (3)
8x - 6.5x = 52 - 46
1.5x = 6
Divide both sides by 1.5
x = 4 bags
y = x + 2
= 4 + 2
= 6
y = 6 bags
Substitute the value of x into (1)
2x + z = 13 (1)
2(4) + z = 13
8 + z = 13
z = 13 - 8
= 5
z = 5 bags
Check:
x + y + z = 15
4 + 6 + 5 = 15