PLS HELP I NeED to finish this
1 answer:
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Answer: a) 15 b)
Step-by-step explanation:
Let X be the number of days:
a)
For LESSONS:
Jordan does 10 / day ( 10*X)
Marco 5 / day ( 5*X)
Junyi 5 / day ( 5*X)
For TESTS:
Jordan does 5 / day ( 5*X)
Marco 10 / day ( 10*X)
Junyi 8 / day ( 8*X)
for each they need a total of 300
a) days for the lessons
b) days for the tests
so they need 15 days to finish both tasks
now if Junyi gets sick we just eliminate his contribution
a) days for the lessons
b) days for the tests
so in 20 days they will finish without him
If jordan works 10 hours a day, we just replace him with 10/24
a) days for the lessons
b) days for the tests
so at the end to complete both tasks they need 29.58 days
Check the picture below.
so the object hits the ground when h(x) = 0, hmmm how long did it take to hit the ground the first time anyway?
now, we know the 2nd time around it hit the ground, h(x) = 0, but it took less time, it took 0.5 or 1/2 second less, well, the first time it took 3/2, if we subtract 1/2 from it, we get 3/2 - 1/2 = 2/2 = 1, so it took only 1 second this time then, meaning x = 1.
quick info:
in case you're wondering what's that pesky -16x² doing there, is gravity's pull in ft/s².
Answer:
a)
b) 12 blocks and 16 bricks.
Step-by-step explanation:
Let x represent the number of bricks and y represent the number of blocks. Each brick costs $0.38; this gives us the expression 0.38x. Each block costs $1.56; this gives us the expression 1.56y. Together they totaled $24.80; this gives us the equation
0.38x + 1.56y = 24.80
We also know that the number of bricks, x, added to the number of blocks, y, totaled 28; this gives us
x + y = 28
To solve this, we will use substitution. First we will isolate x in the second equation by subtracting y from each side:
x + y = 28
x + y - y = 28 - y
x = 28 - y
Now we substitute this in place of x in the first equation:
0.38(28 - y) + 1.56y = 24.80
Using the distributive property, we have
0.38(28) - 0.38(y) + 1.56y = 24.80
10.64 - 0.38y + 1.56y = 24.80
Combining like terms gives us
10.64 + 1.18y = 24.80
Subtract 10.64 from each side:
10.64 + 1.18y - 10.64 = 24.80 - 10.64
1.18y = 14.16
Divide both sides by 1.18:
1.18y/1.18 = 14.16/1.18
y = 12
There were 12 blocks sold.
Substituting this into the second equation gives us
x + 12 = 28
Subtract 12 from each side:
x + 12 - 12 = 28 - 12
x = 16
There were 16 bricks sold.