You can jog around your block twice and the park once in 10 minutes. you can jog around your block twice and the park 3 times in 22 minutes. a. write a system of linear equations that represents this situation. let x represent the number of minutes it takes you to jog around your block and y represent the number of minutes it takes you to jog around the park. system of equations:
b. how long does it take you to jog around the park? it takes you minutes to jog around the park.
Answers
Answer:
Part a) The system of equations is
Part b) The number of minutes it takes you to jog around the park is
Step-by-step explanation:
Part a) Write a system of linear equations
Let
x-----> the number of minutes it takes you to jog around your block
y---> the number of minutes it takes you to jog around the park
we know that
----> equation A
----> equation B
Part b) How long does it take you to jog around the park?
Multiply equation A by -1 both sides
------>
----> equation C
Adds equation B and equation C
Find the value of x
Final answer:
Write the information as a system of linear equations: 2x + y = 10 and 2x + 3y = 22. Solving these equations, we find that it takes 6 minutes to jog around the park.
Explanation:
Given the information provided in the question, we first need to represent the given information through a system of linear equations. Following the instructions in the question, let x represent the time in minutes to jog around the block, and y represent the time in minutes to jog around the park.
From the given problem, we know:
- 2x + y = 10
- 2x + 3y = 22
To find how long it takes you to jog around the park (the value of y), we can use the method of substitution or elimination. In this case, let's use the method of substitution: we can start by solving the first equation for 2x, giving us 2x = 10 - y.
Substituting that into the second equation gives us 10 - y + 3y = 22, simplifying which leads to 2y = 12, and further simplification yields y = 6. Therefore, it takes you 6 minutes to jog around the park.
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Could you help me with this?
|x − 37,500| ≤ 4500; The salaries are less than $33,000 or greater than $42,000.
|x − 37500| ≥ 4500; The salaries range from $33,000 to $42,000
|x − 37,500| ≥ 4500; The salaries are less than $33,000 or greater than $42,000.
Answers
Average salary = 37,500
differ as much as 4,500
37,500 + 4,500 = 42,000
37,500 - 4,500 = 33,000
|x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000
Answer:
|x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000
Step-by-step explanation:
Answers
m∠X + m∠Z < 90°
m∠Y > 90°
∠X and∠Y are complementary
m∠X + m∠Y < 90°
Since the given is m<Z > m<X +m<Y and the sum of measure of angles of a triangle is equal 180 degrees so from this result that the last one choice need being true sure so m<X +m<Y < 90°
For the triangle xyz, m∠z > m∠x + m∠y the total internal angles of a triangle is 180, therefore, m∠x + m∠y < 90° is a true statement.
How to form angles of triangles?
The sum of angles in a triangle is equals to 180 degrees.
Therefore, if the angles of a triangle are x, y and z,
x + y + z = 180 degrees
If m∠z > m∠x + m∠y,
Therefore, m∠x + m∠y the two other angles should be less than 90 degrees.
Hence,
m∠x + m∠y < 90°
learn more on triangle here: brainly.com/question/19609019
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Answers
Step-by-step explanation:
umm I think it's my dude .4
Answers
Writing the expression 3m - 4n - 8 as a sum helps to identify its individual terms, which are 3m, -4n, and -8.
The expression 3m - 4n - 8 can be written as a sum of its terms by separating each term with a plus sign (+) : 3m + (-4n) + (-8),
Writing the expression as a sum helps to identify the individual terms. In this case, the terms are:
Term 1: 3m
Term 2: -4n
Term 3: -8
By breaking down the expression into terms, we can see the coefficients and variables associated with each term. Each term represents separate component of expression, and by identifying them, we analyze and manipulate the expression more effectively.
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Answers
Answer:$344.44
Step-by-step explanation:
Answer:
344.44
Step-by-step explanation:
the edge of the
tire move in 1 sec?
Answers
The number of the degrees of a point on the edge of the tire moving in 1 seconds will be 2700°.
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
A tire is rotating 450 times per minute.
Convert RPM into RPS. Then we have
⇒ 450 / 60
⇒ 7.5 times per second
Then the number of the degrees of a point on the edge of the tire move in 1 seconds will be :
⇒ 7.5 x 1 x 360°
⇒ 2700°
The number of the degrees of a point on the edge of the tire moving in 1 seconds will be 2700°.
More about the Algebra link is given below.
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