Answer:
p=1, q=5. (1, 5).
Step-by-step explanation:
8p+7q=43
2-7=-q
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-q=-5
q=5
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8p+7(5)=43
8p+35=43
8p=43-35
8p=8
p=8/8=1
Answer:
P= $2.75
Step-by-step explanation:
So first we need to create our system of equations
since each popcorn is 0.40 less than each drink we can make the equation:
D - 0.40 = P we can rewrite that as P + 0.40 = D so that we have D by its self.
Next, we create the overall equation:
$24.00 = 3P + 5D
Now plug in D from the first equation into the second equation:
$24.00 = 3P + 5( P + 0.40)
Distribute the five and solve for P:
$24.00 = 3P + 5P + 2
$22.00 = 8P
P = $2.75
Now add 0.40 which would be $3.15 and plug it into the first equation just to make sure that the answer is correct.
It would half 8 hours to get 4 hours and 20 dogs
Next add the 4 hours and 20 dogs to the 8 hours and 40 dogs so
4+8=12 hours
20+40=60 dogs
So Ken can walk 60 dogs in 12 hours
Answer:
C. 3 (t+2)
Step-by-step explanation:
First, for the top fraction, simplify it:
4(t^2-4)/8=4(t+2)(t-2)/8
Now, flip the denominator and multiply the top and bottom fractions:
4(t+2)(t-2)/8 * 6/t-2
You can cancel the (t-2) terms so you get:
4(t+2) *6/8
Reduce the 6/8 to 3/4 so you get:
4(t+2)*3/4
Now cancel the 4's:
3(t+2) Your answer is C.
The answer to the second question is 8/15
