Answer:
(3, -3)
Step-by-step explanation:
To solve for a system of equations, use substitution.
First, solve for one variable in an equation.
2x - 3y = 15
Add 3y to both sides.
2x = 3y + 15
Divide both sides by 2 to get x by itself.
x = 1.5y + 7.5
Put this in the other equation.
5x + 2y = 9
Substitute the variable.
5(1.5y + 7.5) + 2y = 9
Distribute the 5 inside the 1.5y + 7.5.
7.5y + 37.5 + 2y = 9
Combine like terms.
9.5y + 37.5 = 9
Subtract 37.5 from both sides.
9.5y = -28.5
Divide both sides by 9.5.
y = -3.
Now take this value and put it in the other equation to get your x.
2x - 3y = 15
Substitute variable.
2x - 3(-3) = 15
Multiply.
2x + 9 = 15
Subtract 9 from both sides.
2x = 6
Divide both sides by 2.
x = 3.
Your pair is (3, -3).
| -3/8|
= 3/8 (because absolute value of any number is always ≥ 0)
The final answer is 3/8~
Answer: 1.574 × 10-3
Step-by-step explanation:
To convert 0.001574 into scientific notation, follow these steps:
Move the decimal 3 times to right in the number so that the resulting number, m = 1.574, is greater than or equal to 1 but less than 10
Since we moved the decimal to the right the exponent n is negative
n = -3
Write in the scientific notation form, m × 10n
= 1.574 × 10-3
Answer: 6907
Six thousand= 6000
Nine hundreds=900
Seven= 7
Answer:
Answer is 3/4
Step-by-step explanation:
Edward can distrubute pearls to 2 identical bags as fallows:
- 2W for one bag and 2B for another bag. In this scenerio the probability of picking a black pearl is 1/2.
- 1W and 1B for one bag and 1W and 1B for another bag. In this situation the probability of picking a black pearl is 1/2 × 1/2 is equal to 1/4
- At the end, the sum of two scenerio is 1/2 + 1/4 = 3/4