Answer:
Put a point at -5 on the Y axis.
Then move up 6 (still on the Y axis)
Then move to the right 1 (this should be the point 1,1 on the graph)
Draw a line through the points
Shade to the right of the line you drew
The solution is B = 43
Step-by-step explanation:
Simplify and solve for the unknown for 5(B + 3) = 4(B - 7) + 2B
- Simplify each side
- Add the like terms in each side if need
- Separate the unknown in one side and the numerical term in the other side to find the value of the unknown
∵ 5(B + 3) = 4(B - 7) + 2B
- Multiply the bracket (B + 3) by 5 in the left hand side and multiply
the bracket (B - 7) by 4 in the right hand side
∵ 5(B + 3 ) = 5(B) + 5(3) = 5B + 15
∵ 4(B - 7) = 4(B) - 4(7) = 4B - 28
∴ 5B + 15 = 4B - 28 + 2B
- Add the like terms in the right hand side
∵ 4B + 2B = 6B
∴ 5B + 15 = 6B - 28
- Add 28 to both sides
∴ 5B + 43 = 6B
- Subtract 5B from both sides
∴ 43 = B
- Switch the two sides
∴ B = 43
To check the answer substitute the value of B in each side if the two sides are equal then the solution is right
The left hand side
∵ 5(43 + 3) = 5(46) = 230
The right hand side
∵ 4(43 - 7) + 2(43) = 4(36) + 86 = 144 + 86 = 230
∴ L.H.S = R.H.S
∴ The solution B = 43 is right
The solution is B = 43
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Answer:
ED = 26
Step-by-step explanation:
Using tangent-secant theorem
(12)²=(8)(x+10)
144=8x+80
144-80=8x
8x = 64
x=8
Now
ED = 8+8+10
ED = 26
Answer:
1.6 hours
Step-by-step explanation:
h = hours
rate * time = distance
time = distance / rate
h = 92.8 / 58
h = 1.6 hours
1.6 hours = 1 hour 36 minutes
Answer:
The hourly wage is $8.55 per hour
Step-by-step explanation:
Step 1: Determine the expression for the gross pay
Total gross pay=(Unit rate per hour×number of hours(≤40))+(Overtime rate×number of overtime hours)
where;
Total gross pay=$380.48
Unit rate per hour=x
Number of hours=40 hours
Overtime rate=x×(1 1/2)=1.5 x
Number of overtime hours=3 hours
Step 2: Replace to solve for hourly wage
380.48=(x×40)+(1.5 x)×3
40 x+4.5 x=380.48
44.5 x=380.48
x=380.48/44.5
x=8.55
The hourly wage is $8.55 per hour