A two digit number has a tens digit and a ones digit.
Let's say x = tens digit and y = ones digit
"The sum of the digits is 5"
x + y = 5
The next phrase is "the number multiplied by 3 is 42" but we need to represent the number using the digits. So they need to be multiplied first by their place value and added together. [Example: 34 = 3(10) + 4(1)]
The number is: 10x + y
3(10x + y) = 42
The system of equations: (two equations for two unknowns)
x + y = 5
30x + 3y = 42
Then you can use substitution or elimination to combine and solve.
I'll use elimination, multiply the entire top equation by -3 and add the equations together. y will cancel out
-3x - 3y = -15
30x + 3y = 42
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27x + 0 = 27
x = 1
then plug x = 1 into either equation to find y
1 + y = 5
y = 4
remember the x and y represent digits so the number xy is 14
Answer:
<h2>4,520,389 = 4M + 5CM + 2DM + 3C + 8D + 9U</h2>
Step-by-step explanation:
In this proble, we defined:
- D represents tens.
- C represents hundreds.
- M represents millions.
- U is units.
So, the given number is 4,520,389, where we need to state the proper variable according to the position of each digit and its value.
4,520,389 = 4M + 5CM + 2DM + 3C + 8D + 9U
In words, the first term represents 4 millions, the second term represents 5 hundred thousands, the third term represents twenty thousands, the fourth term represents three hundreds, the fifth term represents eighty and the las term represents 9 units.
Answer:
NQ = 26 cm
Step-by-step explanation:
A line bisector divides a line into two equal segments.
Given that line l is the bisector of segment NQ, it then means it divides NQ into two equal segments, namely, segment NP and segment PQ.
Thus, NP = ½ of segment NQ
Therefore, if NP = 13 cm,
13 = ½*NQ
multiply both sides by 2
2*13 = NQ
26 = NQ
NQ = 26 cm
Answer:
b
Step-by-step explanation:
