Which of the following situations could be represented with the given system of equations? 2x-y=0 4x+7y=1170
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Related Questions
If a/b = c/d , b ≠ 0, and d ≠ 0, then ad = ______ by the Means-Extremes Product Property.
Which is bigger 40% of 120 or 1/4 of 200
Write the equation for "Three times the difference of -14 and 4 amounts to -54."
What is the graph of Y=2|3x-3|-4
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Answer: 220 miles
Step-by-step explanation:
Distance travelled is calculated as:
= Speed × Time
Based on the scenario on the question, the total distance, in miles, of Darius' trip will be:
= (60 × 2) + (50 × 2)
= 120 + 100
= 220 miles
Answers
Answer:
They will hit 180 seconds in 118.6 year
Step-by-step explanation:
Let M be the record for the mile (in seconds)
Let x be the year after 1958
So, x=(year)-19548
We are given that In the half-century since then, the record has decreased by 0.5 seconds per year
So, slope = m = 0.5
Now we will use point slope form
y = mx+c
So, we can express M as,
Now we are supposed to find when they will hit 180 seconds
Substitute M = 180 in equation
180=239.3-0.5x
x=118.6
So, they will hit 180 seconds in 118.6 year
Final answer:
You can model the decreasing record time with the linear equation y=239.3-0.5x, where x is years since 1958 and y is the run time in seconds. By using this model, you can find the record time for any given year.
Explanation:
The subject of this question is Mathematics, specifically linear equations. The question mentions an initial record of 239.3 seconds for a run which decreases by 0.5 seconds every year. We are tasked to find the running time after a certain number of years.
Let's let x represent the number of years since 1958 and y represent the number of seconds to run the race. Based on the information provided:
- The starting time (y-intercept) in 1958 was 239.3 seconds.
- The rate of decrease (slope) is 0.5 seconds per year.
Therefore, the relationship between x and y can be expressed by the linear equation: y=239.3-0.5x
To find a certain year's running time, we substitute the number of years passed since 1958 into x in the equation above and solve for y. For example, to find the running time in 50 years after 1958 (2008), we replace x with 50: y = 239.3 - 0.5(50) = 214.3 seconds.
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The length of fenceshadow is 16.25 feet.
What is Proportion?
In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, tworatios are in proportion when they are equal.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
length of Shadow Height
8 20
12 x
18 y
z 6.5
Using proportion
8/12 = 12 / x
8x = 144
x= 144/8
x= 18
and, 8/ 20 = 18/ y
8y = 360
y = 360/ 8
y = 45
and, 8/20 = z/6.5
130 = 8z
z= 16.25
Hence, the length of fence shadow is 16.25 feet.
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Answer: 233.33.
Step-by-step explanation: Consider marking this answer as brainliest if it helped you out.
Answer:
Step-by-step explanation:
233.33
Hope this helps =)
(x + 1)(2+9x)
(x + 1) (9x + 2)
(9x + 2)(x + 1)
Line 1 to Line 2:
Line 1:
Line 2 to Line 3:
Line 2:
Answer Attempt 1 out of 2
Line 3:
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Answer:
Line 1:
Line 1 to Line 2: Commutative property of addition.
Line 2:
Line 2 to Line 3: Commutative property of multiplication.
Line 3:
Could not answer: Line 1, Line 2, and Line 3. Are there options for the question?
If so, label them and I will edit the answer ASAP
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Answer: Relative frequency approach
Step-by-step explanation:
In relative frequency of an event is defined as the number of times that the event occurs during experimental trials, divided by the total number of trials conducted in the given event.
That is if there are total 9 boys in which 4 are from Us.
Then the probability of choosing a boy of Us= Number of boys from US/ total number of boys= 4/9
In our question, we have total pieces of candy= 12
In which lemon-flavored piece of candy = 4
the probability of randomly drawing a lemon-flavored piece of candy= 4/12
= lemon-flavored piece of candy/ total pieces of candy
Thus, we are using relative frequency approach for finding the probability.
Therefore, Option C is correct.
Answer:
Classical approach.
I just took the test.