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Ratling [72]
4 years ago
9

Trevor solved the system of equations below. What mistake did he make in his work?

Mathematics
1 answer:
wariber [46]4 years ago
7 0

2x + y = 5

x − 2y = 10

y = 5 − 2x

x − 2(5 − 2x) = 10

x − 10 + 4x = 10

5x − 10 = 10

<em>add 10 to each side</em>

<em>5x-10+10 = 10 + 10</em>

<em>5x=20</em>

5x = 0    <em>this is the error</em>

He needs to add 10 to each side

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You have quarters and dimes that total $2.80. your friend says it is possible that the number of quarters is 8 more than the num
ss7ja [257]
To answer this question, you need to know that a quarter is worth $0.25 and dimes worth $0.10. In this case, the total number of money that made from quarters and dimes is $2.80
With Q=quarter and D=dime, then the equation should be:
2.80= 0.25 Q + 0.10 D

The condition that needs to be fulfilled in this case is that the quarter should be 8 more than dimes. Then you need to find out the highest possible number of the quarter and lowest possible number of the dimes.  
If you divide 2.8 with 0.25 you will found it will be 11.2 but 11 quarter will result with 0.05 value which you cannot remove, so the highest possible of the quarter should be 10.
If the highest possible of the quarter is 10, then the lowest possible of dimes should be:
2.8= 0.25(10) + 0.10D
0.10D= 0.3
D=3

Since 10-3 is 7, then it is not possible for the quarter to be 8 more than the dimes.
4 0
3 years ago
Bank a charges a six dollar service fee and $.10 for each check written. Bank be charges $5.20 for each check written how many c
Elden [556K]

Answer:

A person needs to write each month 1.17 checks for the two banks to charge the same amounts in fees.

Step-by-step explanation:

You can write an equation in which the amount charged by bank a is equal to the amount charged by bank b. The amount bank a charges is 6 plus 0.10 for the number of checks written and the amount bank b charges is 5.20 for the number of checks written.

6+0.10x=5.20x, where x is the number of checks written

Now, you can solve for x to find the number of checks written where the two banks charge the same amounts in fees:

6=5.20x-0.10x

6=5.10x

x=6/5.10

x=1.17

According to this, the answer is that a person needs to write each month 1.17 checks for the two banks to charge the same amounts in fees.

8 0
3 years ago
Round 5 358 708 to the nearest million​
bulgar [2K]

Answer:5 million

Step-by-step explanation: Because 300 thousand is below 500 thousand so if its below 500 thousand it cant round up it rounds down.

4 0
2 years ago
What is the equation of the parabola with focus (1,1/2) and directrix y=3
IgorC [24]
Answer: A


Explanation:
7 0
3 years ago
Solve the inequality 5 - 4x &gt; -x+8​
Pavel [41]

Answer:

x<-1

Step-by-step explanation:

5-4x>-x+8

adding 4x to both sides we get

5>3x+8

subtracting eight from both sides we get

-3>3x

dividing by three on both sides we get

-1>x

or x<-1

hope that helps if it does please mark my answer as brainliest.

3 0
3 years ago
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