Answer:
Fifteen is a factor of the number because both 3 and 5 are prime factors.
Step-by-step explanation:
2^3 * 3^2 * 5
= 2 * 2 * 2 * 3 * 3 * 5
As you can see from, the prime factors are 2, 3, and 5.
3 × 5 = 15, option A is correct.
Answer: x = 1
Step-by-step explanation:
5 ( 2x - 8 ) + 15 = -15 (write the equation)
5 ( 2x - 8 ) = -30 (subtract by 15 on both sides)
2x - 8 = -6 (divide by 5 on both sides)
2x = 2 (add 8 to both sides)
x = 1 (divide by 2 on both sides)
Problem 23
A = 40
B = 3x+1
C = 3x+1
B and C are congruent, so they have the same angle measure
The three angles of any triangle add to 180 degrees
A+B+C = 180
40+(3x+1)+(3x+1) = 180
6x+42 = 180
6x = 180-42
6x = 138
x = 138/6
x = 23
Answer: B) 23
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Problem 24
AB is the midsegment parallel to XY
So AB is half that of XY
AB = (1/2)*XY
AB = (1/2)*28
AB = 14
Answer: B) 14
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Problem 25
Note the ratio of the given rectangle's sides: 7/12 = 0.583 roughly
Divide the answer choices in a similar fashion
A) 5/7 = 0.714
B) 14/36 = 0.389
C) 21/36 = 0.583
D) 21/48 = 0.4375
We get the same result in choice C as we did in the original rectangle
Answer: C) 21 ft x 36 ft
A
Because i did the math and i had this question before
Answer:
Step-by-step explanation:consecutive integers are represented by x, x+1 , so for this problem the greater one is represented by x + 1.
Now you need to translate the problem. the greater is seven less than 1/3 the smaller
---> x + 1 = (1/3)*x - 7 ---> now solve for x (the smaller) and x+1 (the greater)
***hint: to get rid of fractions in an equation you can always multiply EVERYTHING by the denominator , 3 in this case
