Answer:
x = -7
Step-by-step explanation:
Simplifying
5x + 130 = 8x + 151
Reorder the terms:
130 + 5x = 8x + 151
Reorder the terms:
130 + 5x = 151 + 8x
Solving
130 + 5x = 151 + 8x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8x' to each side of the equation.
130 + 5x + -8x = 151 + 8x + -8x
Combine like terms: 5x + -8x = -3x
130 + -3x = 151 + 8x + -8x
Combine like terms: 8x + -8x = 0
130 + -3x = 151 + 0
130 + -3x = 151
Add '-130' to each side of the equation.
130 + -130 + -3x = 151 + -130
Combine like terms: 130 + -130 = 0
0 + -3x = 151 + -130
-3x = 151 + -130
Combine like terms: 151 + -130 = 21
-3x = 21
Divide each side by '-3'.
x = -7
Simplifying
2 if we’re talking coordinates
Price for a radio = $ 40 for supply 90 radios in a month.
Ratio of increase in price to the number of radios supplies in a month 4:8 that is 1:2.
New unit price given = $76.
Difference in unit price given in starting and New unit price = 76-40=$36
So, increase in unit price = $36.
Let us assume number of supplied increased = x radios for increase in unit price $36.
So, we can setup a perportion as,
1/2 = 36/x.
On cross multiplication, we get
1*x = 2*36
x= 72.
So, 72 is the increased number of radios in 90 radios.
That is 72+90 = 162 radios each month.
Therefore, 162 radios are supplied if their per unit price is $76.
Answer:
310 in²
Step-by-step explanation:
The general formula for the surface area of a prism is:
SA = 2ab + 2ac + 2bc, where 'a', 'b' and 'c' are the measures of the sides. In this case the lengths are 4 in, 5 in and 15 in.
a = 4 in
b = 5 in
c = 15 in
SA = 2(4*5) + 2(4*15) + 2(5*15)
SA = 40 + 120 + 150 = 310 in²
