Answer:
6/5 < x < 10/3 is the desired solution.
Step-by-step explanation:
Here, the given compound inequality is :
x + 1 < -2 x + 11 < 3 x + 5
Now, consider the first two term of the inequality, we get:
x + 1 < -2 x + 11
Subtracting 1 from both sides, we get:
x + 1 - 1 < -2 x + 11 - 1
or, x < -2x + 10
or, x + 2x < 10
or, 3 x < 10
or, x < 10/3
Similarly, considering the last two terms of the given inequality, we get:
-2 x + 11 < 3 x + 5
Subtracting 11 from both sides, we get:
-2 x + 11 - 11 < 3 x + 5 - 11
or, - 2 x < 3 x-6
or, 6 < 5 x
or, x > 6/5
Hence, combining two solutions, we get: 6/5 < x < 10/3
So, the desired value of x should be more than (6/5) but less than (10/3)
Answer:
874×1 = 874
874×10 = 8,740
874×100 = 87,400
874×1,000 = 874,000
Step-by-step explanation:
Answer:
161 seniors
Step-by-step explanation:
According to the problem, given data are as follows:
Total number of sophomores = 300
Sophomores to junior ratio = 5:4
So, Number of Juniors = 300 × (4 ÷ 5)
= 240
Now, Juniors to senior ratio = 3:2
So, we can calculate the number of seniors by using following method:
Number of seniors = 240 × ( 2 ÷ 3)
= 240 × 0.67
= 160.8 or 161
5. If a = b, and b = c then a = c is the transitive property.
6. The converse is switching the order of the statement.
The answer would be If A <15, then a <10: true
7. You have RS + ST = RT
Using subtraction property solve for RS by subtracting ST from both sides to get: RS = RT-ST
8. The addition property would be adding the same thing to both sides:
So. If p=q, then p+s = q+s
9. Vertical angles are the same:
6x-22 = 4x+2
Subtract 4x from both sides:
2x-22 = 2
Add 22 to both sides:
2x = 24
Divide both sides by 2:
x = 12
The probability of drawing a blue card is equal to the quotient when the number of blue cards is divided by the total number of cards. This is, 16/38 which is also equal to 8/19. Thus, the probability of drawing a yellow card is 8/19. The answer is letter C.
