Step-by-step explanation:
let number be x
16x = 14 + x
16x - x = 14
15x = 14
x = 14 ÷ 15
x = 0.9
The answer is either to change the - 1 to 0, or to add + 1 to it next to the - 1.
The equation -21t - 4 = 10 - 2t has only one solution
<u>Solution:</u>
Given, equation is – 21t – 4 = 10 – 2t
We have to find how many solutions does the above given equation have
Now, let us solve the given equation to find the number of solutions it has.
Then, - 21t – 4 = 10 – 2t
Taking like terms to one side of the equation we get,
- 21t + 2t = 10 + 4

here we can see only one value of t.
Hence, the given equation has only one solution.
The length and width of rectangular traffic sign are 40 and 30 inches respectively
<h3><u>Solution:</u></h3>
Given that,
Perimeter of rectangular traffic sign = 140 inches
Let length and width be denoted as ‘L’ and ‘B’ respectively
Given that length is 10 inches longer than its width
L = 10 + B
<em><u>The perimeter of rectangle is given as:</u></em>
Perimeter = 2( L + B)
On substituting the values, we get
140 = 2(10 + B + B)
140 = 2(10 + 2B)
140 = 20 + 4B
B = 30
Therefore, the length is L = 10 + 30 = 40
Hence the dimensions length and width of the rectangle are 40 and 30 inches respectively.