Answer:
153
Step-by-step explanation:
ans.
5x=85
x =85÷5
=17
9x=17x9
=153
2x2x5 is the prime factorization
Answer:
b............ .......... which one is a b c d
For this case we must indicate the graph of the following inequality:
y≥1−3x
It is observed that inequality includes equality, so the boundary line of the graph will not be dotted, so we discard options D and C.
We test option A, we substitute the point (0,0) in the inequality, if it is fulfilled then the graph corresponds to it.
We test option A, we substitute the point (0,0) in the inequality, if it is fulfilled then the graph corresponds to it.
It is not fulfilled
We test the last option B, we choose the point (3,1) that belongs to the graph:
1≥1−3(3)
\1≥1−9
1≥−8
it is fulfilled
Answer:
b. x + (x + 2) + (x + 4) = 39
Step-by-step explanation:
<u>Definitions</u>
- Integer: a whole number that can be positive, negative or zero.
e.g. ..., -3, -2, -1, 0, 1, 2, 3, ... - Odd number: an integer that when divided by two leaves a remainder (so not a multiple of 2). For example, 1, 3, 5, 7 are all positive odd numbers.
- Consecutive: following one after the other in order.
<u>The sum of three consecutive odd integers</u>
Let x be the first odd integer.
As there is a <u>difference of 2</u> between <u>consecutive odd integers</u>, the next odd integer after x will be (x + 2).
Therefore, the next odd integer after (x + 2) will be (x + 2) + 2 = (x + 4).
So "the sum of three consecutive odd integers is thirty-nine" is:
x + (x + 2) + (x + 4) = 39
<u>To solve</u>
⇒ x + (x + 2) + (x + 4) = 39
⇒ x + x + 2 + x + 4 = 39
⇒ 3x + 6 = 39
⇒ 3x = 33
⇒ x = 11
Therefore, the three consecutive odd numbers are 11, 13 and 15.
