Answer:
17822
Step-by-step explanation:
The number that are divisible by 7 between 30 and 500 are as follows :
35, 42,49,.....,497
It will form an AP with first term, a = 35 and common difference, d = 7
Let there are n terms in the AP.
nth term of an AP is given by :
Putting all the values,
Now, the sum of n terms of an AP is given by :
![S_n=\dfrac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Putting all the values,
![S_n=\dfrac{67}{2}[2(35)+(67-1)7]\\\\S_n=17822](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7B67%7D%7B2%7D%5B2%2835%29%2B%2867-1%297%5D%5C%5C%5C%5CS_n%3D17822)
Hence, the sum of the numbers that are divisible by 7 between 30 and 500 is 17822.
Gosh I hope you didn't have to turn this in yet. I'll help you with 4 and 5.
If you want to find the unit rate, you're finding out how much money it is per ounce.
Divide your cost by the number of ounces.
So for example, 3.98 / 16.
After you get your answers, write them down. Whichever answer is the lower number is the better buy because each ounce costs less.
Answer:
<h3>
28° and 152°</h3>
Step-by-step explanation:
Suplementary angles add to 180°
If one of angles is 124° more than the other then if we subtract 124° from the larger angle we get two equal angles which sum is also 124° less
180° - 124° = 56°
56° - sum of two equal angles
56° ÷ 2 = 28° - the measure of smaller angle
28° + 124° = 152° - the measure of larger angle
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x=92x=92
Decimal Form:
x=4.5x=4.5
Mixed Number Form:
x=412x=412
