He uses 3/16 gal for 1/3 square foot.
1/3 square foot is 1/3 of 1 square foot.
1 square foot is 3 times as much area as 1/3 square foot, so he must use 3 times as much water. We need to multiply 3 * 3/16.
3 * 3/16 = 3/1 * 3/16 = 9/16
Answer: He uses 9/16 gallon.
Answer with Step-by-step explanation:
For the Pythagorean triples, the square of largest number must be equal to the sum of squares of remaining two numbers.
1,2,5
5²=25
1²+2²=5
25≠5
Hence, it is not a Pythagorean triple.
6,8,14
14²=196
6²+8²=100
100≠196
Hence, it is not a Pythagorean triple.
8,15,17
17²=289
8²+15²=289
Hence, it is a Pythagorean triple
10,24,26
26²=676
10²+24²=676
Hence, it is Pythagorean triple
15,20,30
30²=900
15²+20²=625
900≠625
Hence, it is not a Pythagorean triple
28,45,53
53²=2809
28²+45²=2809
Hence, it is a Pythagorean triple
8,15,17 is one, 10,24,26 is one, and 28,45,53 is one
Answer:
x=5
Step-by-step explanation:
3x+11=10x-12
We move all terms to the left:
3x+11-(10x-12)=0
We get rid of parentheses
3x-10x+12+11=0
We add all the numbers together, and all the variables
-7x+23=0
We move all terms containing x to the left, all other terms to the right
-7x=-23
x=-23/-7
x=3+2/7
5% of $89.95 is $4.4975. After subtracting this discount from the original price, the DVD player costs $85.4525. Rounded to the nearest cent, the final price is $85.45.
To find the cost of the $89.95 DVD player after a 5% discount, we need to first figure out how much 5% of $89.95 is. This is done by multiplying $89.95 by 0.05 (which is the decimal equivalent of 5%).
So, $89.95 * 0.05 = $4.4975. This is the amount of the discount.
Now, to find the final price after the discount, we subtract the discount from the original price. Therefore, $89.95 - $4.4975 = $85.4525.
However, we need to round this to the nearest cent, which makes it $85.45.
#SPJ3
60% of the boys at the school arrive by car
80% of the girls at the school arrive by car
what is the probability that a child chosen at random from the school arrives by car? give your answer as a decimal
Answer:
Explanation:
You can build a two-way relative frequency table to represent the data:
These are the columns and rows:
Car No car Total
Boys
Girl
Total
Fill the table
Car No car Total
Boys 30%
Girl
Total
That is 60% of 30% = 0.6 × 30% = 18%
Car No car Total
Boys 18% 30%
Girls
Total
By difference you can fill the cell of Boy and No car: 30% - 18% = 12%
Car No car Total
Boy 18% 12% 30%
Girl
Total
Also, you know that the grand total is 100%
Car No car Total
Boy 18% 12% 30%
Girl
Total 100%
By difference you fill the total of Girls: 100% - 30% = 70%
Car No car Total
Boy 18% 12% 30%
Girl 70%
Total 100%
That is 80% of 70% = 0.8 × 70% = 56%
Car No car Total
Boy 18% 12% 30%
Girl 56% 70%
Total 100%
Now you can finish filling in the whole table calculating the differences:
Car No car Total
Boy 18% 12% 30%
Girl 56% 14% 70%
Total 74% 26% 100%
Having the table completed you can find any relevant probability.
The probability that a child chosen at random from the school arrives by car is the total of the column Car: 74%.
That is because that column represents the percent of boys and girls that that arrive by car: 18% of the boys, 56% of the girls, and 74% of all the the children.
Answer: 0.74
Step-by-step explanation: