Answer: x = 7
Step-by-step explanation:
24 = 2x + 10
24 - 10 = 2x + 10 - 10 (Subtract 10 from both sides)
14 = 2x
14/2 = 2x/2 (Divide both sides by 2)
7 = x
x = 7
This question out to be one that we could all answer almost instantly. If the area under the std. norm. curve to the left of z is 0.5 (exactly half of that area), the z value is zero (0).
Answer: x = -4
y = 2
Step-by-step explanation:
From equation I
-6x + 5y = 34
-6x = 34-5y
-(-6x) = -(34-5y)
or, 6x = 5y-34
or, x = 5y-34/6
so
substituting the value in equation II
-6x-10y = 4
or, -6{(5y-34)/6} - 10y = 4
or, -(5y-34)-10y = 4
or, -5y + 34-10y = 4
or, -15y = -30
or, y = -30/(-15)
so, y = 30/15
so, y = 2
now
x = (5y-34)/6
= (5*2-34)/6
= (10-34)/6
= -24/6
= -4
2 and 9 are factors<span> of 18.</span>
<span>When we have two or more given numbers, we can find the largest factor that both numbers have in common. This is called the </span>GCF<span> or the </span>Greatest Common Factor.
There are several different methods that can be used to find the GCF. Let's take a look at some of the methods.
Method 1:<span> List out the factors.</span>
<span>Example: Find the GCF of 64 and 96. </span>
Step 1:<span> List the factors of each number. </span>
64: 1, 2, 4, 8, 16, 32, 64
96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Step 2:<span> Look for factors that both lists have in common.</span>
Step 3:<span> Pick out the largest factor that both lists have in common and call this the GCF.</span>
Therefore, the GCF of 64 and 96 is 32.
Method 2:<span> Upside Down Division</span>
Find the GCF of 280 and 144.
Step 1:<span> Place the numbers inside an upside down division bar.</span>
Step 2:Now, we need to divide both numbers by a common factor. Because both of the numbers are even, we could start with 2.The answer goes underneath the bar.
Step 3:<span> We will continue to divide until we have two numbers that are relatively prime. Remember that relatively prime means two numbers that do not have any common factors other than 1.</span>
<span>35 and 18 are relatively prime. </span>
Step 4:<span> Now we take all of the factors on the side and multiply them together.</span>
<span>The younger brother owes Bill $12.75, and the older brother does not owe him any money. </span>