Answer:
5 and 7.
Step-by-step explanation:
Hey! So to start you need to create an algebraic expression. You can express this problem through the following equation:
*Note: if x is an odd integer, x + 2 is the next consecutive odd integer.
Expanding, you get:
And moving the 35 to the other side, you get a simple quadratic.
Solving by factoring:
This means two possible solutions for the smaller consecutive number are -7 and 5. However the question asks for two positive odd integers, so one of the numbers must be 5. The next will be 7(as its x + 2).
Answer:
c)
Step-by-step explanation:
(6/2)^2 = 9
Answer:
1st option
Step-by-step explanation:
The 2 angles are alternate exterior angles and are congruent , so
3x = 2x + 20 ( subtract 2x from both sides )
x = 20
This could be an adding fractions problem. We can add the two fractions together and then determine how many miles she walked.
9 1
--- + ----
10 3
First, we need to find a common denominator. It would be 30, since this is the smallest number both 3 and 10 go into.
So, after that, we need to multiply each numerator by the number we needed to multiply our denominator by to get to 30.
So, 10 times 3 equals 30. So, we need to multiply 9 by 3 as well, which is 27.
Our new fraction here would be:
27
----
30
Next, to get 30, we need to multiply 3 by 10 to get 30. So, we also need to multiply 1 by 10, which is 10.
Our new fraction would be:
10
---
30
So lets take a look at our new equation.
27 10
--- + ----
30 30
Lets add them together. Remember the denominators need to stay the same:
37
----
30
Now that we have an improper fraction, we need to simplify it. 37 goes into 30 once, and we have 7 left over.
So, our final answer would be:
1 and 7
---- of a mile.
30
48 ounces because if you triple 16 you’ll get 48 ounces!
