Answer:
She can create a function for the total savings in terms of the time x by adding the two functions together. The new function should look like this:
T(x)=S(x)+a(x)
So now we can substitute the given functions:
T(x)=450+6(x-2)
But this function can be simplified for it to be easier for her to calculate her total amount of savings. We can do that by distributing the 6 into the parenthesis. This is, multiply the 6 by both the x and the -2, so we get:
T(x)=450+6x-12
and now we can combine like terms. We can subtract 12 from 450 so we get:
T(x)=6x+438
And that will be our final function.
Answer:
There are 8 boys for every 10 girls. This is 6 equal groups. Equal ratio
Step-by-step explanation:
Answer:
2. 92 ounces of Sprite
3. 1/6 do not want mustard on their ham sandwiches
4. 6 hours playing volleyball
5. 32 portions
Step-by-step explanation:
2. Sam has 8 cans of Sprite. Each can is 11 2/4 ounces
We can simplify 2/4 to 1/2
Multiply the number of cans by the ounces per can
8 * 11 1/2
8 * 11.5
92 ounces
3. 1/2 of the students want ham. 1/3 of those do not want mustard
We multiply 1/2*1/3 = 1/6
1/6 of the students do not want mustard on their ham sandwiches
4. 8 hours at the beach. 3/4 of the time was spent playing volleyball
Multiply this together
8*3/4 = 8/4*3 = 2*3 = 6 hours
5. We have 4 lbs of wings. We divide it into 1/8 lbs parts
4 ÷ 1/8
Copy dot flip
4 * 8/1
32 portions
Answer:
AC = 12.38 cm
Step-by-step explanation:
When there are 2 pairs given, we can use the sine rule to solve the problem.
By pairs we mean "an angle and side opposite to it"
<em>1 pair is 85.2 degree angle and 13 cm, and another pair is 71.6 degree angle and the side AC (which we want to figure out).</em>
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Sine Rule is given by 
where,
A and B are the two respective angles and a and b are the two respective sides (of the pairs). Plugging all the info and using algebra, we have:
Thus, AC = 12.38 cm
So the formula you have to do is A= (pie)(radius)(squared)
divide 6.7 by 2 to find the radius which is 3.35
now do 3.35 * 3.35 ( we are squaring it) which = 11.225
now 11.225 times PIE is 35.264377537
so the answer is 35.264377537
hope that helped!
