Answer:
(2,-3)
Step-by-step explanation:
I used substitution and rearranged the second equation to y=-2x+1. Then I replaced the y in the first equation with -2x+1. So, I got 3x-5(-2x+1)=21. When you solve that you get 13x=26 or x=2. Then you replace x with 2 in either equation and end up with y=-3.
Answer:
h = 5.4
Step-by-step explanation:
Basically these are 2 similar triangles. That means:
Corresponding sides are proportional.
We can set up a ratio of each triangle separately and equate, cross multiply and solve for "h".
h corresponds to 2.4
2.9 corresponds to 1.3
Setting up the ratio and solving for h:
Rounded to 1 decimal place,
h = 5.4
The net amount they raise is the amount they receive minus what they pay in expenses.
They receive:
$10,000 fixed amount in donations
$55 per person
They pay:
$15 per person
If there are x number of entries, they receive 55x from the entries.
Also, they pay 15x for the entries.
The net amount they raise is amount they receive min us amount they pay:
55x + 10,000 - 15x
which simplifies to
40x + 10,0000
They want to raise at least $55,000.
At least $55,000 means $55,000 or more.
They want to raise an amount greater than or equal to $55,000.
Now we write the inequality:
40x + 10,000 >= 55,000
Now we solve the inequality for x, the number of entries.
40x >= 45,000
x >= 1125
They must have 1125 or more race entries to raise $55,000.
Answer:
Centimeters might be easier because they can be much more precise than inches when there isn't an ideal length. Kilometers might be easier because it would not require such large numbers to work with.
Step-by-step explanation:
:)
