Tell whether the two rates form a proportion 7 inches 9 hours; 42 inches in 54 hours
Answers
Answer:
They do form a proportion.
Step-by-step explanation:
To determine whether the two rates form a proportion, you can set up a proportion and check if the cross-products are equal.
The two rates you have are:
Rate 1: 7 inches in 9 hours
Rate 2: 42 inches in 54 hours
You can set up a proportion like this:
Rate 1 (inches per hour) / Rate 2 (inches per hour) = Time 1 (hours) / Time 2 (hours)
So, it becomes:
(7 inches / 9 hours) / (42 inches / 54 hours)
Now, let's calculate these fractions:
Rate 1 (inches pr hour) = (7 inches / 9 hours) ≈ 0.7778 inches per hour (rounded to 4 decimal places)
Rate 2 (inches per hour) = (42 inches / 54 hours) ≈ 0.7778 inches per hour (rounded to 4 decimal places)
Now, compare the two rates (rounded to 4 decimal places):
Rate 1 ≈ 0.7778 inches per hour
Rate 2 ≈ 0.7778 inches per hour
Since both rates are approximately equal to 0.7778 inches per hour, they do form a proportion. When two rates are in proportion, their ratios are equal, which is the case here.
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The surface area of a triangular pyramid is 375.2 m2. What would change if the surface area were measured in square centimeters? A. The surface area of the pyramid would decrease. B. The surface area of the pyramid would increase. C. The surface area of the pyramid would stay the same, but the number representing the surface area would decrease. D. The surface area of the pyramid would stay the same, but the number representing the surface area would increase
Answers
Answer: The required equation of the line is
Step-by-step explanation: We are given to find the equation of the line that passes through (1, 2) and is parallel to the line whose equation is as follows:
The slope-intercept form of the given line (i) is
where, slope of the line is, m = - 4.
Since parallel lines have equal slopes, so the slope of the new line that passes through the point (1, 2) is
m = - 4.
Therefore, the equation of the line will be
Thus, the required equation of the line is
or if you need it in the original format
4x+y-6=0
Answers
12 * 6 = 72
And that is our answer.
There are 72 months in 6 years.
Hope that helped =)
We can see here that there are 72 months in 6 years. It is gotten by multiplying 12 months by 6 years.
What is month?
A month is a unit of time commonly used in calendars to divide a year into shorter periods. It is based on the approximate time it takes for the Moon to orbit the Earth, which is roughly 29.5 days. To account for the varying lengths of months, the Gregorian calendar, the most widely used civil calendar, has months of different durations: 28, 30, or 31 days.
To calculate the number of months in a given number of years, you multiply the number of years by 12 since there are 12 months in a year. Therefore, 6 years multiplied by 12 months equals 72 months.
Learn more about month on brainly.com/question/30403028
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what is the vertex function of
y=-3(x - 1)² +2
Answers
transformation: 1 unit right 2 units up
vertex: (h,k) -> (1,2) it’s positive because it has to be the opposite
maximum/minimum: maximum
range: (-∞, ∞)
domain: y ≥2
(1 point)
more than one
at least one
exactly one
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A function is defined as a relation wherein one variable specifies a single value of another value. Function pairs is composed of an input and an output.
The answer is exactly one
Answers
Opening the brackets;
-6r-21=3
-6r=3+21
-6r=24
r=-4
-6r + -42=3
+42 +42
-6r =45
Then all you do is divide
(a + b)^2?
Answers
Answer: (a + b)² = 50
Step-by-step explanation:
(a + b)² = (a + b)(a + b)
= a² + ab + ab + b²
So, (a + b)² = a² + b² + 2ab
Then substitute the value of ab and (a² + b²)
(a + b)² = 30 + 2(10)
= 30 + 20
Therefore, (a + b)² = 50
a^2+b^2=30
((a+b)^2=a^2+2ab+b^2=a^2+b^2+2*10=30+20=50