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Answer:
87 minutes
Step-by-step explanation:
Let the total number of minutes = m
Our equation is given as:
$20.21 = $14.99 + 0.06m
20.21 = 14.99 + 0.06m
Collect like terms
0.06m= 20.21 - 14.99
0.06m = 5.22
m = 5.22/0.06
m = 87
Therefore, the total number rod minutes used is 87 minutes
Answer:
![x=\frac{21}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B21%7D%7B4%7D)
![y=\frac{21}{2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B21%7D%7B2%7D)
Step-by-step explanation:
equation (1): ![\frac{1}{2} (2x+y)=\frac{21}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%282x%2By%29%3D%5Cfrac%7B21%7D%7B2%7D)
equation (2): y=2x
solve the system by substitution
step1: sub (2x) for y in equation 1:
![\frac{1}{2} (2x+y)=\frac{21}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%282x%2By%29%3D%5Cfrac%7B21%7D%7B2%7D)
![\frac{1}{2} (2x+2x)=\frac{21}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%282x%2B2x%29%3D%5Cfrac%7B21%7D%7B2%7D)
step2: simplify the expression:
![\frac{1}{2} (4x)=\frac{21}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%284x%29%3D%5Cfrac%7B21%7D%7B2%7D)
![2x=\frac{21}{2}](https://tex.z-dn.net/?f=2x%3D%5Cfrac%7B21%7D%7B2%7D)
(divide by 2 for both sides)
![x=\frac{21}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B21%7D%7B4%7D)
To find the value for y sub 21/4 for x in equation 2:
y=2x
y=2×(21/4)
![y=\frac{21}{2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B21%7D%7B2%7D)
Answer:
welp i got -2x+89
Step-by-step explanation: