12a
math: 68/85 * 100 = 80%
science: 70*0.9 = 63 number correct
b. Science
c.48
First you need to combine like terms
7-3x= 5x+13
step 1 add 3x
7=8x+13
step 2 subteact 13
-6=8x
step 3 divide both sides by two
x=-3/4
Answer:
Step-by-step explanation:
Time taken to eat the pizza in seconds =28×60=1680 seconds
If it takes 20seconds to lift, bite and chew,
Then the total bites taken to finish the pizza =1680/20 =84 bites
If for each bite 9cm² disappeared, then area that disappeared for 84bites =84×9cm² = 756cm²
Total area of pizza =756cm²
If area =(πd²)/4,
Then d² =(4×A)/π
d²=4×756/3.14=963.06
d=√963.06 = 31.03cm
1 centimeter=0.394inches
31.03cm= 0.394×31.03=12.23 inches ≈ 12inches(to the nearest inch)
The diameter of the pizza is 12inches
When you multiply a same number but with different powers, you can simply add the powers together. So, in your question, add the powers -1 and -7 together.
7^(-1) x 7^(-7) = 7^(-8)
When you divide a same number but with different powers, you subtract the power at the top with the power from the denominator. So, -8 - (-7) = -1.
7^(-8) / 7^(-7) = 7^(-1)
So your answer would be 7^(-1).
Hopefully my explanation was clear?
Answer:

Step-by-step explanation:
We can break down this problem by first realizing different parts of the circle.
- The line which is 8 units long is a chord of the circle.
- The line that is 3.6 is <em>almost</em> the radius of the circle
- The line that x sits on is the radius.
With this, we can find out if we find the radius of the circle, we have our answer.
We should also note that the angle formed by the 3.6 units long line and the chord is a right angle.
<em>What we need is a way to find the radius of the circle</em><em>. This will get us x</em>. The radius of a circle will be the length of any line that starts from point O and ends at the circle edge.
If we draw a line connecting the end of the 3.6 line at point O to the end of the 8 unit long chord, we get a triangle! (Image attached for reference).
We can solve for the hypotenuse using the Pythagorean Theorem. This theorem states that:
Since we know one side is 3.6, we can use that as A. The second side will be 4 since the 3.6 line lies directly in the center of the chord = 8/2 = 4!
Therefore, since this is the radius of the circle (also the hypotenuse), this can be said for any line that comes from point O onto the edge of the circle.
The line X does just that. Therefore, the value of x is also 5.4.
Hope this helped!