P<12 would be the answer to this question.
Answer:
When we are dividing exponents, there is this rule:
So, in our case we have this:
Answer:
1.75 kg
Step-by-step explanation:
13/20 of 5 = 13/20 x 5= 3.25 kg
and, 7/20 of 5 = 7/20 x 5=1.75 kg
so, divide, 5 kg in ration of 13:7 is:
3.25 kg : 1.75 kg
Answer:
31 toys
Step-by-step explanation:
What we know:
- There are 57 toys in total
- 15 are new
- 9 are Ben's favourite
- 2 are both Ben's favourite and new
Ben is not going to give away toys that are new or favourite. This means that the number of toys he <em>will not</em> give away is equal to 15+9+2.
15+9+2
= 26 toys
He has 57 toys in total, so we can find the number of toys he <em>is</em> going to give away by subtracting 26 from 57.
57-26
= 31 toys
Therefore, he will give away 31 toys.
I hope this helps!
Answer:
3y = 8x - 91
y = 8/3 * x - 30 1/3
Step-by-step explanation:
First we can find the slope of the second line.
Let's rewrite the equation as 8y=44-3x.
After dividing both sides of the equation by 8 we'll get an equivalent equation y = 5.5 - 3/8 * x. The coefficient of x is the slope -> the slope is -3/8. In order for the line to be perpendicular to this line the product of the slopes of two lines should be equal to -1 or in other words the slopes have to be opposite reciprocals of each other. The reciprocal of -3/8 is -8/3. Opposite to it is 8/3. Now we know the slop and the coordinates of a point on the line (given). Let's make the equation of the line in the form of y = mx+ b. We can plug in values for m, y and x. m = 8/3(slope), y=-9 (second coordinate of the point), x = 8 (first coordinate). We got
-9 = 8/3 * 8 +b
Now we need to solve the equation to find b
b =-91/3 or -30 1/3
