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Inga [223]
3 years ago
11

Use the distributive property to expand the linear expression. 3(4x + 3) A) 3 4 B) 12x + 6 C) 12x + 9 D) -3 4

Mathematics
1 answer:
kipiarov [429]3 years ago
8 0

Answer:

<h2>C) 12x + 9</h2>

Step-by-step explanation:

The distributive property: <em>a(b + c) = ab + ac</em>.

3(4x+3)=(3)(4x)+(3)(3)=12x+9

You might be interested in
the mean monthly rent for a sample of studio apartments in one city is $1260 with a standard deviation of $230. the monthly rent
il63 [147K]

Answer:

$1743, $1973, $1789 and $685 are unusual data values. $1973 is very unusual data value.

Step-by-step explanation:

The data values will be unusual if the data values more than 2 standard deviations away from mean.

mean=1260

standard deviation=230

mean-2*standard deviation

1260-2*230

800

mean+2*standard deviation

1720

mean±2*standard deviation=(800,1720)

The values that don't lie in this interval will be unusual.

mean-3*standard deviation

1260-3*230

570

mean+3*standard deviation

1260+3*230

1950

mean±3*standard deviation=(570,1950)

The values that don't lie in this interval will be very unusual.

$1099 lies in the interval mean±2*standard deviation and so it is within the two standard deviation away from mean. So, $1099 is not unusual.

$1651 lies in the interval mean±2*standard deviation and so it is within the two standard deviation away from mean. So, $1651 is not unusual.

$1743 don't lie in the interval mean±2*standard deviation and so it is more than the two standard deviation away from mean. So, $1743 is unusual.

$1973 don't lie in the interval mean±2*standard deviation and so it is more than the two standard deviation away from mean. So, $1973 is unusual. Also,  $1973 don't lie in the interval mean±3*standard deviation and so it is more than the three standard deviation away from mean. So, $1973 is very unusual.

$846 lies in the interval mean±2*standard deviation and so it is within the two standard deviation away from mean. So, $846 is not unusual.

$1789 don't lie in the interval mean±2*standard deviation and so it is more than the two standard deviation away from mean. So, $1789 is unusual.

$1398 lies in the interval mean±2*standard deviation and so it is within the two standard deviation away from mean. So, $1398 is not unusual.

$685 don't lie in the interval mean±2*standard deviation and so it is more than the two standard deviation away from mean. So, $685 is unusual.

5 0
4 years ago
Put these in order below are exactly divisible by 9?<br><br> 119 702 432 641 372
KiRa [710]
119 ÷ 9 = 13 2/9
702 ÷ 9 = 78
432 ÷ 9 = 48
641 ÷ 9 = 71 2/9
372 ÷ 9 = 41 3/9 ⇒ 41 1/3

702 and 432 are divisible by 9. The rest are not. 


7 0
4 years ago
2) A girl starts from a point A and walks 285m to B on a bearing of 078°. She then walks due south to a point C which is 307m fr
adelina 88 [10]

Answer:

bearing of A from C is - 65.24°

the distance |BC| is 187.84 m

Step-by-step explanation:

given data

girl walks AB = 285 m (side c)

bearing angle B = 78°

girl walks AC = 307 m (side a)

solution

we use here the Cosine Law for getting side b that is

ac² = ab² + bc² - 2 × ab × cos(B)     ...............1

307² = 285² + x²  - 2 × 285 cos(78)

x = 187.84 m

and

now we get here angle θ , the bearing from A to C get by law of sines

sin (θ) = \frac{187.84}{307} \times sin(78)

sin (θ) =  0.5985  

θ = 36.76°

and as we get here angle BAC that is

angle BCA = 180 - ( 36.76° + 78° )

angle BCA = 65.24°

and here  negative bearing of A from C so - 65.24°

7 0
3 years ago
What type of angle is CEB?
WITCHER [35]

Answer:

Obtuse

Step-by-step explanation:

CEB is and obtuse angle because it is wider than a right angle ( example: L )

3 0
3 years ago
If you could answer ASAP that would be a big help!
inn [45]

Answer:

yes

no

no

yes

i think

Step-by-step explanation:

7 0
3 years ago
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