Answer:
Step-by-step explanation:
x + 25 + 4x + 10 = 180
5x + 35 = 180
5x = 145
x = 29
<1 = 29 + 25 = 54
<2= 4(29) + 10 = 116 + 10 = 126
Answer:
The system of equations is :
Equation 1- 
Equation 2- 
Number of vinyl doghouse = 5
Number of treated lumber doghouse =12.5
Step-by-step explanation:
Let x be the number of vinyl doghouses
y be the number of treated lumber doghouses
→If it takes the company 5 hours to build a vinyl doghouses and 2 hours to build a treated lumber doghouse. The company dedicates 50 hours every week towards assembling and painting doghouses.
Equation 1- 
→It takes an additional hour to paint each vinyl doghouse and an additional 2 hours to assemble each treated lumber doghouse. The company dedicates 30 hours every week towards assembling and paining dog houses.
Equation 2- 
→When we solve these equation we get the number of vinyl doghouse and treated lumber doghouse.
Subtract equation 2 from equation 1




Put value of x in equation 2





Therefore, number of vinyl doghouse = 5, number of treated lumber doghouse =12.5
Answer:
28 beads were used to make the bracelet. 7 beads were not yellow.
Step-by-step explanation:
3/4 beads used to make the bracelet are yellow
If 21 beads are 3/4 of the bracelet and yellow
1/3 of the 21 beads would be 1/4 of the bracelet
7 beads are 1/3 of 21 beads
7 × 4 = 28 beads