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lys-0071 [83]
3 years ago
10

Kong took 15% fewer seconds than Nolan took to complete his multiplication timed test. Kong took 85 seconds. How many seconds di

d Nolan take?
Mathematics
2 answers:
Inga [223]3 years ago
8 0
85 x .15 = 12.75
85 + 12.75 = 97.75
Answer: Nolan took 97.75 Seconds
MatroZZZ [7]3 years ago
7 0

Answer:

Nolan took 100 seconds

Step-by-step explanation:

Topic: One unknown equation

let' s assing some variables

K = time took by kong to complete the mult test

N = time took by Nolan to complete the mult test

you ca express  the time took by Kong in terms of Nolan's taken time like this

K = N - 15%N (15% less)

the problem says that K took 85 seconds so we have that

K = 85 s

let's replace this in the equation

85 = N - 15%N let's Factorize

85 = N(1-15%)

so we have that

N = 85 / (1-15%)  or N = 85 / (1-0.15)

N = 85 / (0.85) = 100 s

So Nolan took 100 seconds to fullfil the mult test

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Find the inverse of y=100-x^2
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The inverse  is ±sqrt(100-x)

Step-by-step explanation:

To find the inverse, exchange x and y

x = 100 -y^2

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5 0
3 years ago
Mr. Monasterio ran to the store for burritos at 4 miles per hour. On the way back, he increased his speed to 6 miles per hour. I
sveticcg [70]

Answer:

It took 1.2 hours to get to the store

Step-by-step explanation:

Let the time taken to reach the store be t₁

Let the time taken to come back be t₂

Let the speed to and from store = s₁ and s₂ respectively

let the distance to the store = d

To the store:

speed = \frac{distance}{time} \\s = \frac{d}{t_1} \\t_1 = \frac{d}{s_1}\\t_1 =\frac{d}{4} - - - - - (1)

Back from the store:

s_2 = \frac{d}{t_2} \\t_2 = \frac{d}{s_2}\\where:\\s_2 = 6\ miles\ per\ hour\\t_2 = \frac{d}{6} - - - - - - (2)

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\frac{d}{4} + \frac{d}{6} = 2\\Multiplying\ through\ by\ 12:\\3d\ +\ 2d\ =\ 24\\5d = 24\\d = \frac{24}{5} \\d = 4.8\ miles

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t_1 = \frac{d}{4} \\t_1 = \frac{4.8}{4} \\t_1 = 1.2\ hours

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