Answer:
45
Step-by-step explanation:
6 × 3 = 18
9 × 3 = 27
18 + 27 = 45
The pairs of numbers that multiply to 90 are (1, 90), (2, 45), (3, 30), (5, 18), (6, 15), and (9, 10).
To find two numbers that multiply to equal 90, we can look for pairs of factors of 90.
The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90.
To determine the pairs of factors that multiply to 90, we can list the pairs:
1 × 90 = 90
2× 45 = 90
3 × 30 = 90
5 × 18 = 90
6 × 15 = 90
9 × 10 = 90
Therefore, the pairs of numbers that multiply to 90 are: (1, 90), (2, 45), (3, 30), (5, 18), (6, 15), and (9, 10).
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a) 0; The change in y is 0 because the y-values do not change. So, the slope is 0.
b) undefined; The change in x is 0 because the x-values do not change. So, the slope is undefined.
c) undefined; The change in y is 0 because the y-values do not change. So, the slope is undefined.
d) 2/5; To find slope, divide the x-value of the first point by the x-value of the second point. So, the slope is 2/5.
e) 5/2; To find slope, divide the x-value of the second point by the x-value of the first point. So, the slope is 5/2.
A. 2.5 miles
B. 7 miles
C. 18 miles
D. 28 miles
Answer:
B. 7 miles
General Formulas and Concepts:
Algebra I
Equality Properties
Terms/Coefficients
Functions
Systems of Linear Equations
Step-by-step explanation:
Step 1: Define
Identify given.
[Ralph's Walking Distance Function]: d = -6t + 10
[Joan's Bicycle Distance Function]: d = 14t
Step 2: Find Meeting Point
To find where Joan and Ralph will meet, we need to find where they intersect. Therefore, we need to find the time which they both meet up at. To do this, we can use the process of substitution to find our value of t:
From here, we can simply use techniques listed under "Algebra I" to solve for t:
∴ both Joan and Ralph will meet up in half an hour, or 0.5 hours.
Step 3: Find Mileage
To find how many miles they will meet up at, we substitute the number of hours elapsed (found in Step 2) and substitute it into any of the equations given:
∴ Joan will meet Ralph after 7 miles.
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Learn more about Algebra I: brainly.com/question/10405469
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Topic: Algebra I
Find the two numbers, and their equations