Answer:
the shorter piece is 11 inches long
Step-by-step explanation:
x+2x=33in
3x=33in
33/3 = 11 =x
Answer:
/_ b = /_ e
2x + 31 = 7x - 24
5x = 55
x = 11
Step-by-step explanation:
Z = 4 , w = 6
z = x , w = 8
Therefore, z = (4*8) / 6
= 32 / 6
= 16/3 = 5.333
Answer:
x=81 degrees z=99 degrees y=68 degrees
Step-by-step explanation:
first we know 36+63+x is 180 degrees by triangle sum ( the sum of the three angles of a triangle is 180) so x would be 81 degrees. then we know x+z=180 degrees by sum of a line( a line is 180 degrees on either side) making z=99 degrees. Then doing triangle sum again we know 13+99+y=180 degrees making y=68 degrees
Answer:
(a)
![P=0.7N+2.2](https://tex.z-dn.net/?f=P%3D0.7N%2B2.2)
(b)
the price of 50 cloud markers is $37.2
Step-by-step explanation:
(a)
Let's assume
price is P
number of markers is N
We are given
The price of a box of 15 cloud markers is $12.70
so, ![N_1=15,P_1=12.70](https://tex.z-dn.net/?f=N_1%3D15%2CP_1%3D12.70)
The price of a box of 42 cloud markers is $31.60
so, ![N_2=42,P_2=31.60](https://tex.z-dn.net/?f=N_2%3D42%2CP_2%3D31.60)
Firstly, we will find slope
![m=\frac{P_2-P_1}{N_2-N_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7BP_2-P_1%7D%7BN_2-N_1%7D)
now, we can plug values
![m=\frac{31.60-12.70}{42-15}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B31.60-12.70%7D%7B42-15%7D)
![m=0.7](https://tex.z-dn.net/?f=m%3D0.7)
now, we can use point slope form of line
![P-P_1=m(N-N_1)](https://tex.z-dn.net/?f=P-P_1%3Dm%28N-N_1%29)
we can plug value
![P-12.70=0.7(N-15)](https://tex.z-dn.net/?f=P-12.70%3D0.7%28N-15%29)
now, we can solve for P
![P-12.70=0.7N-10.5](https://tex.z-dn.net/?f=P-12.70%3D0.7N-10.5)
add both sides by 12.70
![P-12.70+12.70=0.7N-10.5+12.70](https://tex.z-dn.net/?f=P-12.70%2B12.70%3D0.7N-10.5%2B12.70)
![P=0.7N+2.2](https://tex.z-dn.net/?f=P%3D0.7N%2B2.2)
(b)
now, we can plug N=50
![P=0.7\times 50+2.2](https://tex.z-dn.net/?f=P%3D0.7%5Ctimes%2050%2B2.2)
![P=37.2](https://tex.z-dn.net/?f=P%3D37.2)
So,
the price of 50 cloud markers is $37.2