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mash [69]
3 years ago
14

Find an ordered pair (x, y) that is a solution to the equation 4x + y = 1

Mathematics
1 answer:
Mila [183]3 years ago
5 0

Answer:

(0,1)

Step-by-step explanation:

There are infinite number of (x,y) pairs in a line, so it should be easy to use any value for one of the coordinates (x or y) and find what the other coordinate should be. We can use a simple value that would make our solving easy, for example x = 0. We use this value to replace x in the equation of the line, and solve for y:

4x+y=1\\4(0)+y=1\\0+y=1\\y=1

Therefore the pair (0,1) is a solution for the given equation.

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Lin has a maximum of $40 to spend at the movies. The movie ticket costs $10. After purchasing the ticket, she can spend d dollar
Dahasolnce [82]

Answer:

d ≤ 30

Step-by-step explanation:

40 - 10 = 30

she will be able to spend at most 30 dollars

7 0
3 years ago
To improve his basketball skills, Troy decides to practice six times as many free throws and four times as many jump shots every
noname [10]
The answer is B. 6f+4j
6 0
3 years ago
Read 2 more answers
Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they
inysia [295]
You have two unknown rates, so we need to develop two equations to solve for these unknowns (based on the information given on the problem statement):

5x + 10y = 725
x + y = 100

By substitution, we get:

5x + 10(100 - x) = 725
5x + 1000 - 10x = 725
-5x = 725 - 1000
-5x = -275
x = -275/-5 = 55

100 - 55 = 45

Thus:
The mechanic who worked for 5 hours charged his time at $55/hr, and the mechanic who worked for 10 hours charged his time at $45/hr.

To verify, plug and chug the results back into the original equations:

5(55) + 10(45) = 725
275 + 450 = 725
725 = 725 [OK]

55 + 45 = 100 [OK]
4 0
3 years ago
Write an equation to model the sentence. How many cherries are left in a bowl of 52 cherries after you have eaten some?
Tresset [83]

Answer:

52 - x

Step-by-step explanation:

x \: is \: the \: cherries \: eaten

x is the cherries eaten

7 0
3 years ago
NEED SOME HELP HERE!!
Stolb23 [73]

Answer:

6 and 8

Step-by-step explanation:

Pythagorean theorem: a² + b² = c²

Given this,

(3x)² + (4x)² = 10²

9x² + 16x² = 100

25x² = 100

Divide both sides by 25

x² = 4

x = 2

Substitute this into 3x and 4x.

3x = 3 * 2 = 6

4x = 4 * 2 = 8

Thus, the answer is 6 and 8

5 0
3 years ago
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