The amount Nat's paid at the club before the discount is $157.90
Given:
Total bill including discount = $150
Discount = $5
Amount before discount = x
Total bill including discount = Amount before discount - (Discount × Amount before discount)
150 = x - (5% × x)
150 = x - (0.05 × x)
150 = x - 0.05x
150 = 0.95x
divide both sides by 0.95
x = 150 / 0.95
x = 157.89473684210
Approximately,
x = $157.90
Therefore, amount Nat's paid at the club before the discount is $157.90
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Answer:
$157.89
Step-by-step explanation:
The original price is x
you took away 5%, making the new price 95% of x, or .95x
Put it in an equation
.95x = 150
x = 150/.95
x = 30/.19
x = 3000/19
x=157 17/19
x is about $157.89
(first correct answer gets brainliest)
(it is the square root of both 6x and 38)
Answer:
The solution set is = {7, 9}.
Step-by-step explanation:
√(6x - 38) = x - 5
Square both sides:
6x - 38 = (x - 5)^2
x^2 - 10x + 25 - 6x + 38 = 0
x^2 - 16x + 63 = 0
(x - 7)(x - 9) = 0
x = 7, 9.
Check these solutions:
x = 7:
√(6x - 38) = √(42-38) = 2 and 7 - 5 = 2 so this is correct.
x = 9
√(6x - 38) = √(54 - 38) = √16 = 4 and 9 - 5 = 4 so 9 is also correct.
Emily's unit rate in miles per hour can be found by using the expression 9 ÷ (3/4) or 9 x (4/3). When calculated, we find that Emily is biking at a rate of 12 miles per hour.
To find Emily's unit rate in miles per hour, we need to divide the total miles she biked by the time it took her in hours. In Emily's case, she biked 9 miles in 3/4 hours. So the expression she can use to find her unit rate in miles per hour is 9 ÷ (3/4). Dividing 9 by 3/4 is the same as multiplying 9 by the reciprocal of 3/4, which is 4/3. So, the expression can also be written as 9 x (4/3). If we calculate that, we get 12. So, Emily biked at a rate of 12 miles per hour.
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Answer:
Hello there!
Divide 9 by 3 to get 3.
Then use that to multiply 3 by 4 to get 12.
Step-by-step explanation:
uarts = ____ cups