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inn [45]
3 years ago
10

Mary spent a total of $352.24 for a party. She spent $200.29 on food, plus an additional $30.39 for each hour of the party. How

long was the party?
Mathematics
2 answers:
FinnZ [79.3K]3 years ago
8 0

The answer should be 5 hours.

soldi70 [24.7K]3 years ago
4 0
I am pretty sure it’s 5
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A force of 12 lb is required to hold a spring stretched 8 in. beyond its natural length. How much work W is done in stretching i
sattari [20]

Answer:

Work done in stretching the spring = 7.56 lb-ft.

Step-by-step explanation:

Normal length of the spring = 8 in or \frac{8}{12} ft

= \frac{2}{3} ft

If the spring has been stretched to 11 inch then the stretched length of the spring is = 11 in

= \frac{11}{12} ft

Force applied to stretch the spring = 12 lb

By Hook's law,

F = kx [where k is the spring constant and x = length by which the spring is stretched]

12 = k(\frac{2}{3})

k = 18

Work done (W) to stretch the spring by \frac{11}{12} ft will be

W = \int\limits^\frac{11}{12} _0 {kx} \, dx

    = \int\limits^\frac{11}{12} _0 {(18x)} \, dx

    = 18[\frac{x^{2}}{2}]^{\frac{11}{12}}_0

    = 9(\frac{11}{12})²

    = 7.56 lb-ft

6 0
3 years ago
Pls remember to give your answer in metres
spin [16.1K]
Answer: 500m

Explanation:
If the scale of the drawing is 1:500 then the real playground should be 500:1 which is 500m
5 0
3 years ago
I'm not sure how to simplify this expression with the exponents rules of multiplication
Vedmedyk [2.9K]
The rule of exponential multiplication is (a^x)*(a^y)=a^(x+y)
using this with your expression, we can do
(10^1)*(10^3)*(10^2)=10^(1+3+2)=10^6
Final answer:
10^6 or 1 million
Hope I helped :)
3 0
3 years ago
Rectangle A has 7 times the area of rectangle
krok68 [10]
Wa=0.5Wb, Ha=20, Hb is unkown
the area of rectangle a is : Wa*20
the area of rectangle b is : Wb*Hb
Rectangle a has 7 times the area of rectangle b: Wa*20=7*Wb*Hb
Replace Wa with 0.5Wb: 0.5Wb*20=7Wb*Hb => Hb=10/7
7 0
3 years ago
Find the equation of the Circle P.
trasher [3.6K]

Answer:

the anwers is 5

Step-by-step explanation:

7 0
3 years ago
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