Answer:
Step-by-step explanation:
<u>Rectangle has equal diagonals:</u>
<u>Substitute and solve for x:</u>
- 5x + 1 = 8x - 32
- 8x - 5x = 1 + 32
- 3x = 33
- x = 11
<u>Find the length of the diagonals:</u>
- JL = MK = 5*11 + 1 = 56 units
<u>Diagonals of the rectangle bisect each other:</u>
- KN = MK / 2 = 56/2 = 28 units
Answer:
D: 8
Step-by-step explanation:
7 + (2 + 6) ^2 ÷ 4 ⋅ (1/2)^4
According to PEMDAS
We to parentheses first
7 + (8)^ 2 ÷ 4 ⋅ (1/2)^4
Then we do exponents
7 + 64 ÷ 4 ⋅ (1/16)
The multiply and divide from left to right
7+64 ÷ 4 ⋅ (1/16)
7+16 ⋅ (1/16)
Then add and subtract from left to right
7+1
8
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Answer:she will earn $200 in 5 weeks
Step-by-step explanation:
Susan takes care of a child for 2 hours after school each weekday and 6 hours on Saturday. There are 5 school days in a week. Total number of hours that she spends in taking care of the child during the weekdays would be 5×2 = 10 hours.
Total hours for the week would be
10 + 6 = 16 hours
Total amount of hours in 5 weeks would be
5 × 16 = 80
If she earns 2.50 per hour, it means that in 80 hours, she would earn
2.5 × 80 = $200
To solve this problem, you'll want to substitute the variables for the values you are given and follow the order of operations. Let's substitute first, shall we?
xz becomes 4 times 1.
4y becomes 4 times 2.
2z becomes 2 times 1.
Now that we have everything substituted in, we have our new equation.
4*1(4*2 - 2*1) With the asterisks representing the multiplication sign.
Now, solving those first easy problems as the first step, we get..
4(8-2)
Remember to follow order of operations! Do the problem in the parentheses first, 8-2.
Now we have 4(6).
Assuming the problem is exactly how you wrote it and you are supposed to multiply the two numbers, your answer is 24.