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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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sergeinik [125]
Base×hight×width you are just doing 3/4×3/4×3/4 and what ever your answer is put a little 3 above it so it almost looks like an exponent. Pretend that ABC is the answer it would look like this format = ABCinches3 but the three is tiny
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3 years ago
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For what value of b makes this equation true? (Solve for b)<br> b +9 = -2
neonofarm [45]

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▹ Answer

<em>b = -11</em>

▹ Step-by-Step Explanation

b + 9 = -2

     -9   -9

b = -2 - 9

b = -2 + -9

b = -11

Hope this helps!

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7 0
3 years ago
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Plz help!!! ASAP! GIVE BRAINLIEST AND GIVING POINTS!!!!!
Studentka2010 [4]

Answer:

-8

Step-by-step explanation:

-8m⁴ n⁴

m = 0.5 = 1/2

n = 2

Substitute

-8 * (1/2)⁴ * (2)⁴

-8 * (1/16) * (16)

-8

4 0
2 years ago
Which shows a perfect square trinomial?
anastassius [24]
The answer is <span>c. 16x2 + 24xy + 9y2.

Since we need trinomial (three term expression) choices a and b are incorrect because they have only two terms.

So, our square trinomial is a</span>² + 2ab + b² or a² - 2ab + b²
a² + 2ab + b² = (a + b)²
a² - 2ab + b² = (a - b)²

Let's check choices c and d:
c) 16x² + 24xy + 9y²
a² = 16x²
a² = (4x)²
a = 4x

b² = 9y²
b² = (3y)²
b = 3y

a² + 2ab + b² = (4x)² + 2 * 4x * 3y + (3y)² = 16x² + 24xy + 9y²
CORRECT

d) 49x² - 70xy + 10y²
a² = 49x²
a² = (7x)²
a = 7x

b² = 10y²
b² = (y√10)²
b = y√10

a² + 2ab + b² = (7x)² + 2 * 7x * y√10 + (y√10)² = 49x² + 14xy√10 + 10y²
INCORRECT

So, c) is correct answer
8 0
3 years ago
Read 2 more answers
Let the random variable X be the number of rooms in a randomly chosen owner-occupied housing unit in a certain city. The distrib
natali 33 [55]

Answer:

a) X is a discrete random variable.

b) 2% probability of choosing a unit with 10 rooms

c) 98% probability that a unit chosen at random is not a 10-room unit

d) 30% probability that a unit chosen at random has less than five rooms

e) 7% probability that a unit chosen at random has less than five rooms

Step-by-step explanation:

The distribution means that:

7% probability that a randomly chosen owner-occupied housing unit in a certain city has 3 rooms.

23% probability that a randomly chosen owner-occupied housing unit in a certain city has 4 rooms.

36% probability that a randomly chosen owner-occupied housing unit in a certain city has 5 rooms.

19% probability that a randomly chosen owner-occupied housing unit in a certain city has 6 rooms.

5% probability that a randomly chosen owner-occupied housing unit in a certain city has 7 rooms.

5% probability that a randomly chosen owner-occupied housing unit in a certain city has 8 rooms.

3% probability that a randomly chosen owner-occupied housing unit in a certain city has 9 rooms.

?% probability that a randomly chosen owner-occupied housing unit in a certain city has 10 rooms.

(a) Is X a discrete or continuous random variable?

X is the number of rooms in a randomly selected house. The number of rooms is a countable variable, that is, only assumes values like 1,2,3,4,... You cannot have 3.5 rooms, for example.

So X is a discrete random variable.

(b) What must be the probability of choosing a unit with 10 rooms?

The sum of all probabilities must be 100%(1 decimal). So

0.07 + 0.23 + 0.36 + 0.19 + 0.05 + 0.05 + 0.03 + ? = 1

0.98 + ? = 1

? = 0.02

2% probability of choosing a unit with 10 rooms

(c) What is the probability that a unit chosen at random is not a 10-room unit?

0.07 + 0.23 + 0.36 + 0.19 + 0.05 + 0.05 + 0.03 = 0.98

98% probability that a unit chosen at random is not a 10-room unit

(d) What is the probability that a unit chosen at random has less than five rooms?

7% probability it has 3 rooms

23% probability it has 4 rooms. So

7+23 = 30% probability that a unit chosen at random has less than five rooms

(e) What is the probability that a unit chosen at random has three rooms?

7% probability that a randomly chosen owner-occupied housing unit in a certain city has 3 rooms. So

7% probability that a unit chosen at random has less than five rooms

8 0
3 years ago
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