Answer:
-1/3
Step-by-step explanation:
The product of 10 and a number is 3 less than the number.
Ok, lets call this number x.
10x = x-3 is how to algebraically write this out.
now, lets subtract x from both sides
9x = -3
Divide by 9
x = -1/3
Answer:
(-2, -3)
(3, 12)
Step-by-step explanation:
To solve this, we're gonna get rid of the y's with substitution
x² + 2x - 3 = 3x + 3
Let's make this equation equal to zero
Subtract 3 from both sides
x² + 2x - 3 = 3x + 3
- 3 - 3
x² + 2x - 6 = 3x
Subtract 3x from both sides
x² + 2x - 6 = 3x
- 3x - 3x
x² - x - 6 = 0
Factor the equation
(x - 3)(x + 2) = 0
This means x can be -2 or 3
Let's solve it with -2 first, plug the new x in y = 3x + 3
y = 3(-2) + 3
y = -6 + 3 = -3
Do the same for x = 3
y = 3(3) + 3
y = 9 + 3 = 12
Do cross multiplication
<u>6</u> = <u>x</u>
18 12
Now cross multiply
(6)(12) = (18)(x)
72 = 18x
Divide both sides by 18
<u>72</u> = <u>18x</u>
18 18
4 = x
So tMei can complete 4 problems in 12 minutes.
Answer:
-14
Step-by-step explanation:
Answer: 5
Step-by-step explanation:
1. You have the following expression given in the problem above:
2. You can estimate the result by rounding the numerator and the denominator.
3. As you can see, you can round up 97.5 to 100.
4. Then, you can round up 1.96 to 2.
5. Therefore, you have:
6. Therefore, the result is 5.
