<span>The answer is that x = 21/9.
Start with the original: 4(2x - 1) - 7 = 4 - x + 6
Now distribute the 4:</span> <span> 8x - 4 - 7 = 4 - x + 6.
Now combine the like terms. 8x - 11 = -x + 10.
Now add x to both sides. 9x - 11 = 10.
Now add 11 to both sides. 9x = 21.
And divide by 9 on both side. x = 21/9. </span>
Answer:
x = 32
Step-by-step explanation:
So we are given the measures of two of the three interior angles. 98° and 50°. We are also given that the value of the third interior angle is equal to x°. Remember, the sum of the interior angles of a triangle is 180°. Knowing this, we can make the equation:
x + 98 + 50 = 180
Now we solve for x. Subtract 50 from both sides.
x + 98 = 130
Subtract 98 from both sides.
x = 32
So the value of x is 32.
I hope you find my answer and explanation to be helpful. Happy studying.
B. 50% of the moons surface
The answer is 12:1
note: this is often read as "12 to 1"
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Explanation
We have exactly four card that are labeled "3" and 52 cards total. So there are 52-4 = 48 cards that are not labeled "3".
From here you write the ratio 48:4 to indicate the odds against drawing a 3. There are 48 ways to lose, 4 ways to win. You list the number of ways to lose first when it comes to "odds against" type of problems.
Next step is to reduce the ratio 48:4 to get 12:1, note how I divided both parts by the GCF 4
48/4 = 12
4/4 = 1
So thats how 48:4 reduces to 12:1
If you focus on one suit, say the spades, then we have 12 cards that arent a 3 of spades while exactly one card is a 3 of spades. This is one way to see why 12:1 is the answer. If you were saying this out loud to a friend, then you might say something like "the odds against drawing a three are 12 to 1".
Answer:
y = 4
Step-by-step explanation:
Substitute the input x = - 4 into the function and evaluate for y
y = 
× - 4 + 6
= - 2 + 6
= 4
