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leonid [27]
3 years ago
8

A system of equations consists of two lines. line one passes through (-1,3) and (0,1). the other line passes through (1,4) and (

0,2). determine if the pair has no solution, one solution, or an infinite number of solutions.
Mathematics
1 answer:
Irina-Kira [14]3 years ago
6 0

The pair has one solution.

Answer: Option B.

<u>Explanation:</u>

A system of two linear equations can have one solution, an infinite number of solutions, or no solution. Systems of equations can be classified by the number of solutions. If a system has at least one solution, it is said to be consistent . If a consistent system has exactly one solution, it is independent.

If the system in two variables has one solution, it is an ordered pair that is a solution to both equations. In other words, when you plug in the values of the ordered pair it makes both equations TRUE.

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Vina has $4.70 in quarters, dimes and nickels in her purse. She has nine more dimes than quarters and four more nickels than qua
Aneli [31]

Step-by-step explanation:

Vina has $4.70 in quarters, dimes and nickels in her purse. She has nine more dimes than quarters and four more nickels than quarters. How many of each coin are in her purse?

nickels

dimes

quarters

4 0
2 years ago
I need help with b and c please and thank you!!
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3 0
2 years ago
Complete the inequality for this graph.<br> y &lt; [?]
dimaraw [331]

Answer:

2

Step-by-step explanation:

The line is at 2.  Everything below that is shaded in.

So y is less than 2.

3 0
3 years ago
What are the measurements of the two angles in the figure below?
IgorC [24]

Both angles need to equal 180 degrees .

Add them together:

2x +10 + 3x-5 = 180

5X +5 = 180

Subtract 5 from each side:

5x = 175

Divide both sides by 5:

X = 175 / 5

X = 35


Now replace X with 35 in each equation:

2x +10 = 2(35) +10 = 70 +10 = 80

3x-5 = 3(35) - 5 = 105 -5 = 100


The answer is A. 80 and 100

5 0
3 years ago
Phyllis invested 50000 dollars, a portion earning a simple interest rate of 5 percent per year and the rest earning a rate of 7
Elodia [21]

Answer:

The amount invested at 5% was $39,000 and the amount invested at 7% was $11,000

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

Let

x-----> the amount invested at 5%

50,000-x -----> the amount invested at 7%

so

t=1\ year\\ I=\$2,720\\r_1=0.05\\r_2=0.07\\P_1=\$x\\P_2=\$(50,000-x)

substitute in the formula above

2,720=x(0.05*1)+(50,000-x)(0.07*1)

solve for x

2,720=0.05x+3,500-0.07x

0.07x-0.05x=3,500-2,720\\0.02x=780\\x=\$39,000

(50,000-x)=\$11,000

therefore

The amount invested at 5% was $39,000 and the amount invested at 7% was $11,000

5 0
3 years ago
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