Please check these
15. Simplify the product using FOIL: (4x+3)(2x+5)
6x^2 + 26x + 15
16. Given the set of data 2, 6, 3, 8, 5, 4, 2, what is the mean?
4.28
41. Find 60.5% of 8,125.
4,915.625
54. Find 45% of 125
56.25
68. Evaluate: (5.0 x 10^3) x (4.0 x 10^7)
I need help in this.
69. Find 700% of 100.
700
75. Find the missing side of the right triangle if the hypotenuse is 26 and one of the legs is 24
13
76. Seven is 10% of what number?
70
85. Find: 40 out of 85 in percentage
47.05%
86. Find: 25 out of 75 in percentage
33.33%
87. Find 68 out of 17 in percentage
??
88. Find 21% of 60
12.6
98. If a coat was 25% off of the marked price of $68.00, how much would it cost?
51
good job, all correct except 3
68.
(5.0 x 10^3) x (4.0 x 10^7)
= 20 x 10^10
= 2.0 x 10^11
75.
x^2 + 24^2 = 26^2
x^2 + 576 = 676
x^2 = 100
x = √100 = 10
87.
68/17
= 4
= 400%
68 - (25% of 68) = 68 - (0.25 * 68) = 68 - 17 = 51
So, the coat would cost $51.
15. To multiply two binomials using the FOIL method, you multiply the first terms, then the outer terms, then the inner terms, and finally the last terms.
For the expression (4x+3)(2x+5):
- Multiply the first terms: 4x * 2x = 8x^2
- Multiply the outer terms: 4x * 5 = 20x
- Multiply the inner terms: 3 * 2x = 6x
- Multiply the last terms: 3 * 5 = 15
Combine these terms together to get the simplified product: 8x^2 + 20x + 6x + 15 = 8x^2 + 26x + 15.
16. To find the mean of a set of numbers, you add up all the numbers and divide the sum by the total number of numbers.
For the set of data: 2, 6, 3, 8, 5, 4, 2:
- Add up all the numbers: 2 + 6 + 3 + 8 + 5 + 4 + 2 = 30
- Divide the sum by the number of numbers (which is 7): 30 / 7 = 4.28
41. To find a percentage of a number, you multiply the percentage by the number and divide by 100.
For the question "Find 60.5% of 8,125":
- Multiply 60.5 by 8,125: 60.5 * 8,125 = 4915.625
54. To find a percentage of a number, you multiply the percentage by the number and divide by 100.
For the question "Find 45% of 125":
- Multiply 45 by 125: 45 * 125 = 5625
- Divide the result by 100: 5625 / 100 = 56.25
68. To multiply numbers written in scientific notation, you multiply the coefficients and add the exponents of the powers of 10.
For the question "(5.0 x 10^3) x (4.0 x 10^7)":
- Multiply the coefficients: 5.0 * 4.0 = 20.0
- Add the exponents: 3 + 7 = 10
- Write the result in scientific notation: 20.0 x 10^10
69. To find a percentage of a number, you multiply the percentage by the number and divide by 100.
For the question "Find 700% of 100":
- Multiply 700 by 100: 700 * 100 = 70000
75. To find the missing side of a right triangle, you can use the Pythagorean theorem, which states that the square of the hypotenuse equals the sum of the squares of the other two sides.
For the question where the hypotenuse is 26 and one of the legs is 24:
- Use the Pythagorean theorem: 24^2 + x^2 = 26^2
- Solve for x by taking the square root of both sides: x = √(26^2 - 24^2) = √(676 - 576) = √100 = 10
76. To find what number is a certain percentage of another number, you can divide the first number by the percentage and multiply by 100.
For the question "Seven is 10% of what number?":
- Divide 7 by 10% (which is 0.1): 7 / 0.1 = 70
85. To find a percentage of a number, you multiply the percentage by the number and divide by 100.
For the question "Find 40 out of 85 in percentage":
- Divide 40 by 85: 40 / 85 = 0.4705
- Multiply the result by 100 to get the percentage: 0.4705 * 100 = 47.05%
86. To find a percentage of a number, you multiply the percentage by the number and divide by 100.
For the question "Find 25 out of 75 in percentage":
- Divide 25 by 75: 25 / 75 = 0.3333
- Multiply the result by 100 to get the percentage: 0.3333 * 100 = 33.33%
87. To find a percentage of a number, you multiply the percentage by the number and divide by 100.
For the question "Find 68 out of 17 in percentage":
- Divide 68 by 17: 68 / 17 = 4
- Multiply the result by 100 to get the percentage: 4 * 100 = 400%
88. To find a percentage of a number, you multiply the percentage by the number and divide by 100.
For the question "Find 21% of 60":
- Multiply 21 by 60: 21 * 60 = 1260
- Divide the result by 100: 1260 / 100 = 12.6
98. To find the discounted price of an item when given a percentage off, you subtract the percentage off from 100% and multiply it by the original price.
For the question where the coat is 25% off the marked price of $68.00:
- Calculate the percentage remaining after the discount: 100% - 25% = 75%
- Multiply the original price by the percentage remaining: 75% * $68.00 = $51.00