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
------------------
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
I believe the answer is....
For solving for a
a-7= 3(b+2) ———> distribute 3(b+2)
a-7= 3b+6 ———-> add 7 on both sides
a-7= 3b+6
a+7= 3b +7 ———-> the 7’s cancel out so you’re left with....
a = 3b + 13 (That’s your answer)
Hope that helped :3
I believe it’s x=2.5 or x=2 1/2 or x=5/2
They are all the same answers in different forms . Hope it’s right
Answer:
vvvIf the perimeter of the rectangle is 60 in, find its area.
Step-by-step explanation:
Answer:
Option D. 3.73
Step-by-step explanation:
we know that
and
step 1
Find cos(X)
we have
we know that
substitute
step 2
Find tan(x)
substitute
step 3
Find sin(y)
we have
we know that
substitute
step 4
Find tan(y)
substitute
step 5
Find tan(x+y)
substitute
![tan(x+y)=[1/\sqrt{3}+1}]/[{1-1/\sqrt{3}}]=3.73](https://tex.z-dn.net/?f=tan%28x%2By%29%3D%5B1%2F%5Csqrt%7B3%7D%2B1%7D%5D%2F%5B%7B1-1%2F%5Csqrt%7B3%7D%7D%5D%3D3.73)
