a.
h = 2c - 3
b.
3h + 1.5c = 201
c.
We have a system of equations from part a and b.
h = 2c - 3 (equation 1)
3h + 1.5c = 201 (equation 2)
We use substitution method to solve this system.
Substitute equation 1 in equation 2 to get
3h + 1.5c = 201
>> 3(2c - 3) + 1.5c = 201
>> 6c - 9 + 1.5c = 201
>> 7.5c = 201 + 9
>> 7.5c = 210
>> c = 210 / 7.5
>> c = 28
Plug this value back in equation 1 to get
h = 2c - 3
>> h = 2(28) - 3 = 56 - 3 = 53
So, c = 28 and h = 53 implies that <u>28 corndogs</u> and 53 hotdogs were sold.
Answer:
y = x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x - 5 ← is in slope- intercept form
with slope m =
Parallel lines have equal slopes, thus
y = x + c ← is the partial equation
To find c substitute (- 6, - 5) into the partial equation
- 5 = - 8 + c ⇒ c = - 5 + 8 = 3
y = x + 3 ← equation of parallel line
To determine the value of X in the given equation substitute the value of y into the equation and solve for x.
1/5x - 2/3y = 30
1/5x - 2/3(15) = 30
1/5x -10 = 30
1/5x - 10 + 10 = 30 + 10
1/5x = 40
1 = 5x • 40
1 = 200x
X = 1/200.
Download photo-math on ur phone and take a picture of the equation. it should tell u the answer.
Pears: .92 x 3.75 = $3.45
apples: 1.10 x 2.1 = $2.31
total: $5.76