Answer:
32/225 ≈ 0.1422
Step-by-step explanation:
If you consider "3-digit" numbers to be between 100 and 999, inclusive, there are 128 such numbers divisible by 7. The probability of choosing one at random is ...
128/900 = 32/225 = 0.1422...(repeating)
__
If you consider all non-negative integers less than 1000 to be "3-digit numbers," then the probability is ...
142/1000 = 0.142 (exactly)
Answer:
6/5 x (x-6)
Step-by-step explanation:
convert the decimal into a fraction
1.2x -7.2
6/5x - 36/5
factor 6/5 from the expression
6/5x (x-6)
The answer is C. 65........
11. y = -23x - 21
You can get this by starting with y = mx + b (slope intercept form). Then put in all the knowns and solve for the b.
2 = -23(-1) + b
2 = 23 + b
-21 = b
Then add that to the end of the equation with m = -23
12. -5
The y-intercept of an equation is always the number added on at the end of an equation. It is also the number with no x attached to it.
13. 8x^9y^6
When you use the law of exponents, you need to make sure the exponent goes to each individual term. When we cube the 2, it becomes 8. When you cube x^3, you get x^3*x^3*x^3 or x^9. And with y^2 you get y^6
Answer: x=15
Step-by-step explanation: Let's solve your equation step-by-step.
x+
1
/2
(x−5)=20
Step 1: Simplify both sides of the equation.
x+
1
/2
(x−5)=20
x+(
1
/2
)(x)+(
1
/2
)(−5)=20(Distribute)
x+
1
/2
x+ −5
/2
=20
(x+
1
/2
x)+(
−5
/2
)=20(Combine Like Terms)
3
/2
x + −5
/2
=20
3
/2
x + −5
/2
=20
Step 2: Add 5/2 to both sides.
3
/2
x + −5
/2 + 5
/2
=20+
5
/2
3
/2
x= 45
/2
Step 3: Multiply both sides by 2/3.
(
2
/3
)*(
3
/2
x)=(
2
/3
)*(
45
/2
)
x=15
