Answer:
12
Step-by-step explanation:
x will be the age of her younger brother
34 = 2x + 10
She is ten more than twice his age
34 = 2x + 10
- 10 - 10
Then she twice his age
24 = 2x
÷2 ÷2
So his age is 12
x = 12
To solve problem 19, we must remember the order of operations. PEMDAS tells us that we should simplify numbers in parentheses first, exponents next, multiplication and division after that, and finally addition and subtraction. Using this knowledge, we can begin to simplify the problem by working out the innermost set of parentheses:
36 / [10 - (3-1)²]
36 / [10 - (2)²]
Next, we should still simplify what is inside the parentheses but continue to solve the exponents (the next letter in PEMDAS).
36/ (10-4)
After that, we should compute the subtraction that is inside the parentheses.
36/6
Finally, we can solve using division.
6
Now, we can move onto problem 20:
1/4(16d - 24)
To solve this problem, we need to use the distributive property, which allows us to distribute the coefficient of 1/4 through the parentheses by multiplying each term by 1/4.
1/4 (16d-24)
1/4(16d) - 1/4(24)
Next, we can simplify further by using multiplication.
4d - 6
Therefore, your answer to problem 19 is 6 and the answer to problem 20 is 4d -6.
Hope this helps!
Answer:
595
Step-by-step explanation:
SOLUTION STEPS
(2.0×10−3)(3.5×10)
Multiply 2 and 10 to get 20.
(20−3)×3.5×10
Subtract 3 from 20 to get 17.
17×3.5×10
Multiply 17 and 3.5 to get 59.5.
59.5×10
Multiply 59.5 and 10 to get 595.
595
