One number is 4 less than 3 times a second number. If 3 more than two times the first number is decreased by two times the second, the result is 11. What are both numbers?
Answers
x = 3y-4
3 + 2x - 2y = 11
The first equation says that x is equal to "3y - 4", so you can plug in "3y - 4" for x in the second equation:
3 + 2(3y - 4) - 2y = 11
3 + 6y - 8 - 2y = 11
-5 + 4y = 11
4y = 16
y = 4
Now that you have y, you can plug it into the 1st equation to get x:
x = 3y - 4
x = 3(4) - 4
x = 12 - 4
x = 8
So, the 1st number is 8 and the 2nd number is 4.
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What is the problem of this solving?!
5. Assuming that a is not equal to c, find the x-value of the intersection point of the lines y = ax +b and y = cx + d.
Answers
From those words, it's clear that the question comes AFTER you have solved
several equations, and now, this question is asking you how you solved them.
The only way for YOU to answer this question is to solve the equations first.
And if you want someone ELSE to tell the math concepts and principles that
are used to solve them, then you have to show him what the equations are.
x= 3k(n + m)
Answers
and puts her change in a jar. At the end
of the week she counts her money. One
week she had 50 coins, all of them dimes
and quarters. When she added them up,
she had a total of $10.25.
Let d = number of dimes and
q = number of quarters.
Answers
10d + 25q = 1025
Multiply the first equation by 10.
10(d + q = 50) --> 10d + 10q = 500
We combine this with the second equation
10d + 25q = 1025
10d + 10q = 500
--------subtract--------
15q = 525 iff
q = 35
Plug in q = 35 into any of the original equations,
d + q = 50
d + 35 = 50 iff
d = 15
There are 15 dimes, and 35 quarters.
One more than a number is at least seven. x + 1 > 7
The maximum value of a number is 29. x < 29
The difference of a number and ten is at least 91. x - 10 > 91
Answers
Answer:
Step-by-step explanation:
Let the unknown number be x
Three is less than a number: for less than we use < symbol
3 < a number becomes
One more than a number is at least seven: Number atleast 7 means 7 or more than 7. So we use ≥ 7. One more than a number is x+1
The maximum value of a number is 29: maximum value of x is 29 , so 29 or less than 29. Use ≤ symbol
The difference of a number and ten is at least 91: The difference of a number and 10 is x-10. For at least we use ≥ because 91 is included.
3 < x
One more than a number is at least seven.
x + 1 ≥ 7
The maximum value of a number is 29.
x ≤ 29
The difference of a number and ten is at least 91.
x - 10 ≥ 91
hurry please !! :)
Answers
Answer:
4 square root of 5
Step-by-step explanation: