Answer: The ordered pair is (2,3)
Step-by-step explanation:
To solve this problem, we can use substitution. With substitution, we substitute the y in each problem with the equations. In this case, x + 1 can substitute the y in y = -x + 5. Here is what the problem looks like now:
x + 1 = -x + 5
The reason we used substitution is because we assume that these linear equations are equal. We must prove it, though. We can use algebra.
Move the variables to one side and the numerical values to another:
x + x = 5 - 1.
Simplify.
2x = 4
Simplify.
x = 2.
Now, we got our x value, we can substitute it into our problem:
y = 2 + 1
y + -2 + 5
2 + 1 = - 2 + 5 = 3
Our x is 2, and our y is 3. The ordered pair that is a solution is (2,3).
Answer:
The smallest power of 10 that will exceed 
is 
.
Step-by-step explanation:
We can use the following approach to determine the smallest power of 10 that will exceed M. We can transform that number into scientific notation, which is of the form:
, 
Where:
- Integer part, formed by a digit, which is of the highest order.
- Decimal part, formed by a digit onwards.
- Power grade.
The smallest power of 10 that will exceed M is 
If 
, then, the power grade is number of spaces that dot must be moved leftwards. In this case, dot must be moved 5 spaces on the left. The integer part is 1 and the decimal part is 1852665902. Then, the value of in scientific notation is:
Then, the smallest power of 10 that will exceed is .
Answer:
Step-by-step explanation:
4 days
8/10 * 5 = 4
Answer:
10 pizzas
Step-by-step explanation:
Jaxson is throwing a pizza party. He has 1\tfrac{1}{4}1 4 1 pounds of cheese available and he needs \tfrac{1}{8} 8 1 pound of cheese to make each pizza. How many pizzas can he make?
We can interprete the above question as:
1/8 pounds of cheese = 1 pizza
1 1/4 pounds of cheese = x pizzas
Cross Multiply
1/8 × x = 1 1/4 × 1
x = 1 1/4 ÷ 1/8
x = 5/4 ÷ 1/8
x = 5/4 × 8/1
x = 10 pizzas
x = 10 pizzas
