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Ivahew [28]
3 years ago
15

Which expressions are equivalent to 3(x + 3y + 2x − y )?

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
4 0

Answer:

3(3x + 2y) and 9x + 6y

Step-by-step explanation:

3(x + 3y + 2x - y)

= 3 (x + 2x) + (3y - y)

= 3 (3x + 2y)

= (3 • 3x) + ( 3 • 2y)

= 9x + 6y

You might be interested in
2(9x-5)=6(3x+4)<br> Solve for x <br> Algebra
andreyandreev [35.5K]

Answer:

No solution

Step-by-step explanation:

2(9x-5)=6(3x+4)

Step 1 is to do distributive property.

so you will get this:

18x-10=18+24

step 2 is combining like terms.

so you will subtract 24x from both sides.

(this:) 18x-10=18x+24

(into this:) -10=24

I got this because when you subtract 18 from 18 you will get zero (0).

So your answer will be:

No solution

8 0
3 years ago
The number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with a mean of 1262 chips
Sholpan [36]

Answer:

Using z score formula:

X = z ∂ + µ

 = 157.833

Step-by-step explanation:

Solution:

Mean = µ = 1262

Standard deviation = ∂ = 117

(a) 28th percentile for the number of chocolate chip.

P( z < z) = 28%

             = 0.28

P( z<- 0.58)  = 0.28

Z = -0.58

By using z score formula:

Z = x - µ /∂

-0.58= x – 117 / 1262

X = (- 0.58)(117) + (1262)

 =  1194.14

(b) Middle 97% of bag.

P(-z < z < z) = 97%

                    = 0.97

P( z < z) – p(z < -z) = 0.97

2p(z < z) -1 = 0.97

2p (z < z) = 1 + 0.97

P(z < z) = 1.97 / 2

            = 0.99

P(z < 2.33) = 0.99

Z ± 2.33

By using z score formula:

Z = x - µ / ∂

X = z ∂ + µ

  = - 2.33 x 117 + 1262

  =989.39

Z = 2.33

X = z ∂ + µ

  =  2.33 x 117 + 1262

 =1533.61

(c) What is the interquartile range of the number of chocolate chips in a bag of chocolate.

By using standard normal table,

The z dist’n formula:

P(z < z ) = 25%

            =0.25

P(z < -0.6745) = 0.25

Z = 0.6745

Using z score formula:

X = z∂ + µ

   = - 0.6745 x 117 + 1262

  = 1183.0835

First quartile = Q1 =1183.0835

The third quartile is:

P(z<z) = 75%

    = 0.75

P(z < 0.6745) = 0.75

Z = 0.6745

Using z score formula:

X = z ∂ + µ

  = 0.6745 x 117 + 1262

= 1340.9165

IQR = Q3 – Q1

     = 1340.9165 – 1183.0835

  = 157.833

3 0
3 years ago
Check my answers? questions in the attachment :)
GarryVolchara [31]
1 Correct!
2 Correct!
3 Correct!
4 Correct!
5 Correct!



6 0
4 years ago
3 x cubed equals - 375
AysviL [449]
Do you want this explained ? or the answer 
7 0
4 years ago
Convert 8% to a fraction/mixed number and a decimal. Select all that apply.
mr Goodwill [35]

Answer:

hope this helps :)

Step-by-step explanation:

Decimal - 0.008

Simplifed fraction -- 2/25

7 0
3 years ago
Read 2 more answers
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