Answer:
Step-by-step explanation:
This is a system of equations. The 2 equations are:
4c + 2p = 16
2c + 3p = 12
Let's get rid of the p's first. Do this by multiplying the first equation by -3 and the second equation by 2 to get a new system that looks like this:
-12x - 6p = -48
4c + 6p = 24
Now add to get
-8c = -24 and
c = 3
That means that chocolate is $3 per pound. Now sub that back in to either one of the original equations to get the price for peanuts:
4(3) + 2p = 16 and
12 + 2p = 16 and
2p = 4 so
p = 2
The price for peanuts is $2 per pound.
Answer:
y = 12x - 37
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 )
here m = 12, thus
y = 12x + c ← is the partial equation
To find c substitute (3, - 1) into the partial equation
- 1 = 36 + c ⇒ c = - 1 - 36 = - 37
y = 12x - 37 ← is the equation of the line
Answer:
$ 600
Step-by-step explanation:
From the question given above, the following data were obtained:
Principal (P) = $ 3000
Time (T) = 5 years
Rate (R) = 4%
Interest (I) =?
The total interest he will receive can be obtained as follow:
I = PTR/100
I = 3000 × 5 × 4 / 100
I = 60000 / 100
I = $ 600
Thus, the total interest he will receive is $ 600
Answer:
This is complematry and x=7
Step-by-step explanation:its complematry because they both add up to make 90 degree angle right angle
8+5=13
90-13=77
3x+8x=11x
77 divided by 11x =7x
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