For the two weeks period, Jan earned $150 less than twice Tom's earnings. Together Jan and Tom earned $1380. How much did Tom earn?
Answers
The earnings of Tom is $510.
What is a word problem?
A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Let the earnings of Jan be x and
Let the earnings of Tom be y.
Jan earned $150 less than twice Tom's earnings,
⇒ ------ (1)
Together Jan and Tom earned $1380,
⇒ ------- (2)
Now substitute equation 1 in 2,
⇒
⇒
⇒
⇒
⇒
Hence we can conclude that the earnings of Tom is $510.
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Subtract 150 to each side
2x=1230
Divide both sides by 2x
X=615
Tom earned $615
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Answers
The measure of angle Q' is 45°.
What is an expression?
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
∠Q = 30°
∠Q is rotated 15°
This means,
∠Q = 30 + 15 = 45°
Thus,
The measure of angle Q' is 45°.
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an angle has the same measurement no matter what direction you rotate it
Answers
The total number of men in the factory = 222
Let us assume the common ratio to be = x
Then
3x = 222
x = 222/3
= 74
Then
The total number of women workers in the factory = 4 * 74
= 296
So
The total number of workers in the factory = 296 + 222
= 518
From the above deduction we can easily conclude that there are a total of 518 workers in the factory.
Answers
Answer:F(1)=-2x-2
Step-by-step explanation:
The line's slope intersects the Y-axis at -2, and it passes through the point (-2,2). If you remember the rule of run over rise, you can find the slope. The rise is 4 units as the line moves up from the point (-2,2), and the run is 2 units as the line moves over to the point where it intersects the Y-axis at -2. So, the slope is 4/2, which simplifies to 2 or -2(-2). I apologize for any grammar errors in my previous message, but the answer is correct either way.
6x + 4y = 2
3x + 2y = 1
A.
not enough information
B.
coincident
C.
consistent and independent
D.
inconsistent
Answers
Answer:
B. coincident
Step-by-step explanation:
An coincident system of equations means that it has infinite solutions, because one line is on the other one. This happens when their equation are the same, or their "parent" line is the same.
So, given equations are:
6x + 4y = 2 and 3x + 2y = 1
Observe that if we divide the first by 2, we have
As you can see, using the first equation, we found that it has the same "parent" equation than the second equation. In other words, they are basically the same. This means that they represent the same line, so, the system is coincident and they have infinite solutions.
After analyzing the data provided in this question one can conclude that they are coincident. For the first system equation we have: 6x + 4y = 2. If we divide everything by 2 we will get: 3x + 2y = 1. Coincident means the same line.
The answer is choice B). Coincident.
I hope it helps, Regards.