20+0.15x = 35+0.10x
0.15x=15+0.10x
0.05x=15
x= 15/0.05
x= 300minutes
check:
300*.015 = 45+20=65
300*0.10 = 30 + 35 = 65
they equal
so number of minutes would be 300
Answer:
m∠1=80°
m∠2=112°
m∠3=131°
m∠4=80°
m∠5=37°
Step-by-step explanation:
First you have to find m∠2
To do that find m∠6 (I created this angle shown in pic below)
Find m∠6 by using the sum of all ∠'s in a Δ theorem
m∠6=180°-(63°+49°)
m∠6=68°
Now you can find m∠2 with the supplementary ∠'s theorem
m∠2=180°-68°
m∠2=112°
Then you find m∠5 using the sum of all ∠'s in a Δ theorem
m∠5=180°-(112°+31°)
m∠5=37°
Now you can find m∠1
m∠1=180°-(63°+37°)
m∠1=180°-100°=80°
m∠4 can easily be found too now:
m∠4=180°-(63°+37°)
m∠4=80°
m∠3=180°-49°
m∠3=131°
Answer:
Step-by-step explanation:
the shape looks like a cube.. and maybe they say something about that outside of the picture, even but assuming that it is a cube, we know all the sides are the same.
we also know that the area of one side of the cube is 3 
so multiply that
W x L = area
3 * 3 = area
10 
= area
10.5625 = area
those two answer above are the same .. just one is in fractions and one is in decimals
there are 6 sides on a cube, so multiply the above answer by 6
6* answer = 63.375
63 
( this is your answer)
both of those are also identical , but look different for the reasons I mentioned above
use which ever from seems better to you. :)
Step-by-step explanation:
Hey there!
It is said we need to find the unit rate.
What we can do is apply Unitary Method.
3 minutes = 42 push ups
1 minute = 
<u>So, 12 push ups per minute is the unit rate.</u>
In 5 minutes, he will do 12×5 = <u>60 push ups!</u>
Hope it helps :)
I'll go by boxes (top statement box is #1, top reason box is #2, etc.)
If you don't have enough boxes, you can omit (remove) the first 2 I wrote, which is the given
1. 8y = 9x - 14; y = 5
2. Given
3. 8(5) = 9x - 14
4. Substitution
5. 40 = 9x - 14
6. Simplification (or multiplication)
7. 54 = 9x
8. Additive property of equality
9. 6 = x
10. Division property of equality
11. x = 6
12. Symmetrical property of equality
Hope this helps (:
