Proportionality
If there are 1525 children in the school and there is a ratio of 3:2 boys to girls, how many girls are in the school?
915 boys and 610 girls.
A small package holds 20 cat sweaters. A large package holds 256% as many cat sweaters than a small package. How many cat sweaters does the large package hold?
51.2 cat sweaters however rounding so 51.
An automatic alligator feeder dispenses 3/4 cup of alligator food each hour. What expression can the alligator owner use to determine the amount of food left in the feeder after x hours? (100 cups of alligator food btw)
x * 3/4 = 100
Mr.B opens a savings account with a deposit of $15.00. (because he's unfortunately broke) He will earn 2% interest each year. How can he estimate how much interest he will earn after 10 years (assuming he doesn't add or take out any money)?
He will earn $3, for a total of 18 dollars.
Factor the expression below! :D XD :p UwU
1632x + 1224y + 69420z
4(408x + 306y +17,355z)
There is a school with 333 students. The proportion is 3 boys to 3 girls to 3 non-binary. How many non-binary students are there?
111 non-binary students.
A plan to expand Kevin's room will make the length of the room 150% of the current length. What will be the new measurements of his room in inches?
Current Length: 24 feet
Current Width: 5 yards
New Length: 432 inches!!
New Width: 270 inches!!
An automatic alien feeder dispenses 1,450/4 cup of alien food each minute. What expression can the alien owner use to determine the amount of food left in the feeder after e seconds? (11,937,402 cups of alien food)
e * 1,450/4 =11,937,402
Mrs. Geramita opens a savings account with a deposit of $15,029,374,620.00. (because she's fortunately rich, unlike Mr.B back there 😭) She will earn 17,584% interest each year. How can she estimate how much interest she will earn after 100,000 years (assuming she doesn't add or take out any money)?
(Good luck ;D)
A = $264,276,538,347,454,624.00
Use GCF to factor this expression below:
100x + 284y + 344z :)
4(25x + 71y + 86z)
There is a school with 1236 students. The proportion is 4 boys to 2 girls to 2 non-binary. How many girl students are there?
309 non-binary students.
Sebastian starts a 16-hour expedition in the Jungle with his camera battery at 2% (15 minutes left). Given his abnormal usage, will his camera last the whole expedition? If not, how much does his camera need to be charged?
No. 16 hours = 960 minutes. 960-15=945. if 2% = 15, 15/2=7.5. 945/7.5=126. He needs his camera at 126%. Just bring an extra portable charger.
An automatic well pumps 70 cubic meters of water per hour. What expression can the well owner use to determine the amount of water (x) left in the well after 2048 days if there were 1,000,000,000 cubic meters of water in the well? What about 10,000,000,000?
x-((70x24)x2048)
1,000,000,000-((70x24)x2048)
10,000,000,000-((70x24)x2048)
Ms.Davis deposits 500,000 dollars into her bank account. The bank gives 40% interest. She left it in the bank for 14 years. How much money is now in the bank?
Ms.Davis has $3,300,000 in her account.
Factor the expression below... 😍
6122535364x + 66666666y + 98765432z + 200f
2(100f + 3061267682x + 33333333y + 49382716z)
There is a school of fish with 123450 fish. The proportion is 5 boys to 10 girls to 15 non-binary. How many non-binary students are there?
61,725 non-binary students. I think.
What is 72% of 658? 😇
What is 84% of 588? 😆
What is 93% of 998? 😋
72% of 658 = 473.76
84% of 588 = 493.92
93% of 998 = 928.14
Simplify:
-30294(a+10)
-30294a + -302940
Jenny deposits $600,000,000 into TD Bank. In return, she will get a 1.2846% interest over the course of 15 years. How much money will she receive?
She will receive $715,614,000.
Factor the expression below... 😬
312x + 232y + 20,000,000z
8(39x+29y+2,500,000z)
There is a church with 127274840 people. The proportion is 3 men to 15 women to 2 non-binary. How many men are there?
There are 19091226 men.
What is 7893447% of 99999? 😁
What is 938475% of 1000000? 🤗
What is 3467589% of 10101010? 🙀
7893447% of 99999 = 7893368065.53
938475% of 1000000 = 9384750000
3467589% of 10101010 = 350261511648.9
69(a+420)
69a + 28980
Mukhlisa deposits 125 dollars into the bank. Everyday, she gets 10% interest. Over the course of 12 years, how much money does she receive?
$54,912.50 (Don't forget leap days ;P)
A = 125(1 + (0.1 × 4383)) = 54912.5
A = $54,912.50
The total amount accrued, principal plus interest, from simple interest on a principal of $125.00 at a rate of 10% per day for 4383 days is $54,912.50.
Use GCF to factor this expression below:
12345678753673x + 12121212122121212121y + 12345676543456765434567654f + 2z
1(12345678753673x + 12121212122121212121y + 12345676543456765434567654f + 2z)