Find the GCF of 80 and 32.
I'd start by identifying possible integer factors of both 80 and 32:
80: {1,2,4,5,8,10,16,20, 40, 80}
32: {1, 2,4, 8, 16, 32}
Working backwards, we see that the first factor that is represented in both lists is 16. Is 80 evenly divisible by 16? Yes; the quotient is 5.
Is 32 evenly divisible by 16? Yes; the quotient is 2.
You could writet 80 + 32 as 16(5 + 2). This is a product equal to 112, just as 80 + 32 = 112.
2,3,4
1st way: 6*2oz=12oz
2nd way: 3*2oz+2*3oz=12oz
3rd way: 4*2oz+4oz=12oz
4th way: 2*2oz+2*4oz=12oz
5th way: 4*3oz=12oz
6th way: 2*3oz+2oz+4oz=12oz
7th way: 3*4oz=12oz
Stuart can combine 2oz, 3oz and 4oz weigths 7 different ways to get 12oz.
Answer:
the absolute value of 32 ( |32| ) is 32
Step-by-step explanation:
absolute value is asking how far away a number is from 0. so, 32 is 32 numbers away from 0.
hope this helps!
Answer:
16 cm
Step-by-step explanation:
A right triangle, with the hypotenuse = 18, one side = 7, and the other side = x.
Since this is a right triangle, use the pythagorean theorem to find the value for x.
let a = 7 for one side, and let c = 18 for the hypotenuse. And, let c = x for the other side.
The pythagorean theorem is: c^2 = a^2 + b^2.
18^2 = 7^2 + x^2324 = 49 +x^2
x^2 = 324 - 49 = 275So, x = sqrt(275) = 16.5 cm
For this problem, we can say that corresponding angles are congruent, or the same, this also means that their angle measures have to be the same. Then, our equations for our angles will be vertical angles, which means that they must equal each other. So we would then write our equation as 3x+20=4x+10 or 4x+10=3x+20. Then, to combine like terms, we will subtract 3x from both sides, resulting in x+10=20. Then we will subtract 10 from both sides, resulting in x=10.
