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Inessa [10]
2 years ago
14

Factorise the following expression :​

Mathematics
1 answer:
sergij07 [2.7K]2 years ago
3 0

Answer:

36a²b-60a²bc

6×6×a²×b-6×10×a²b×c

6a²b(6-10c)

6a²b((2(3-5c))

6×2a²b(3-5c)

12a²b(3-5c)

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Jessica bought a $30 outfit for $17. What percent discount did she receive?
mihalych1998 [28]
<h2>Answer:</h2>

Around 57%

<h3><u>Step-by-step explanation:</u></h3>

17 / 30 = .56666666...

Move two decimal places to the left;

56.66666...

<em>Estimate:</em> 57%

8 0
2 years ago
Read 2 more answers
Simita has 25 coins, consisting of 10c and 5c, which total $2.25. how many of each does she have?​
Ilya [14]

Answer:

10c = 20

5c = 5

Step-by-step explanation:

Let x be the number of 10c coins; let y be the number of 5c coins. The total is $2.25, so the amount of 10c and 5c coins will add to that. Simita has 25 coins, so x and y, the number of coins, will have to add to 25. Hence, solve the simultaneous equation.

10x + 5y = 225 (1) - times by 0

x + y = 25 (2) - times by 5

10x + 5y = 225 (1)

5x + 5y = 125 (2)

Then, take equation 2 away from equation 1.

5x = 100

x = 20

Substitute x back into the original equation.

x + y = 25

20 + y = 25

y = 5

7 0
3 years ago
A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 ki
shepuryov [24]

Answer

given,

mean = 12 Kg

standard deviation = 0.5 Kg

assume the observed statistic is = 11.1

 now, \bar{X}=11.1 , \mu = 12 , \sigma = 0.5

assuming the number of sample = 4

n = 4

Hypothesis test:

H₀ : μ≥ 12

Ha : μ < 12

now,

significant level α = 0.05

z* = \dfrac{\bar{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

z* = \dfrac{11.1-12}{\dfrac{0.5}{\sqrt{4}}}

     z* = -3.60

Test statistics, Z* = -3.60

P-value

P(Z<-3.60) = 0.002 (from z- table)

P- value = 0.002

now,

reject the value of H₀ when P-value < α

    0.002 < 0.05

since, it is less P-value < α , we have to reject the null hypothesis

5 0
3 years ago
It takes 2 hours to travel 360 miles on a plane. At this rate, how many miles does the plane travel in 4 hours?
ohaa [14]

Step-by-step explanation:

720

8 0
2 years ago
Read 2 more answers
Solve x2 + 12x = –11 by completing the square. Which is the solution set of the equation?
Ann [662]
If you would like to solve the equation x^2 + 12 * x = -11, you can calculate this using the following steps:

x^2 + 12 * x = -11
<span>x^2 + 12 * x + 11 = 0
</span>(x + 1) * (x + 11) = 0
1. x = - 1
2. x = - 11

The correct result would be x = - 1, or x = - 11.
7 0
3 years ago
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