Answer:
Let x = the unknown cost of a single hot dog and y = the unknown cost of a single soft drink. We have two unknowns so we need two equations to find them.
Equation 1 - 10 hot dogs and 5 soft drinks cost $35; that is 10x + 5y = 35
Equation 2 - 7 hot dogs and 4 soft drinks cost $25.25; that is 7x + 4y = 25.25
First let's re-write equation 1 to solve for y:
10x + 5y = 35
5y = 35 - 10x (subtract 10x from both sides)
y = 7 - 2x (divide both sides by 5)
Next, let's substitute 7 - 2x for y in equation 2:
7x + 4y = 25.25
7x + 4(7-2x) = 25.25
7x + 28 - 8x = 25.25
-x + 28 = 25.25
x - 28 = -25.25
Solve for x, the cost of a single hot dog. Once you have that, use y = 7 - 2x to find the cost of a single soft drink.
Step-by-step explanation:
Hope it helpful
Answer:
4.78
Step-by-step explanation:
For every one unit to the right we go up one unit, i.e. rise/run = 1/1 = 1. That's a textbook slope of 1.
Answer: 1
Answer:
8 years
Step-by-step explanation:
Lets write an equation for Type A
The initial value is 5 ft and the slope 12 inches
We need to have the same units, so lets change 5 ft to inches
5 ft * 12 inches / ft = 60 inches
y = mx+b
y = 12 x + 60
Lets write an equation for Type B
The initial value is 3 ft and the slope 15 inches
We need to have the same units, so lets change 3 ft to inches
3 ft * 12 inches / ft = 36 inches
y = mx+b
y = 15 x + 36
We want to know when y is the same value. We can set the equations equal.
12x + 60 = 15x+36
Subtract 12 x from each side
12x-12x+60 = 15x-12x +36
60 =3x+36
Subtract 36 from each side
60-36 = 3x+36-36
24 = 3x
Divide each side by 3
24/3 = 3x/3
8 =x
It will take 8 years for the trees to be the same height
Answer:
X = 20
Step-by-step explanation:
The angle are supplementary:
- Meaning that the two angles = 180°
Equation:
Solve:
- 7x + x + 20 = 180
- 8x + 20 -20 = 180 - 20
- 8x = 160
- Divide 8 from both sides:
- <u>x = 20</u>
