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aksik [14]
3 years ago
15

Can someone tell me how to do this ?

Mathematics
1 answer:
ElenaW [278]3 years ago
7 0

i am not 100% sure but...

(4x+3)=47

<u>    - 3    - 3 </u>

     4x=44

44/4= 11

so x = 11

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The relationship between the number of pencils and the number of pens in Sophie’s pencil case can be represented using the ratio
tekilochka [14]

ratio of 6:10, if you divide both numbers by 2 you get a ratio of 3:5

multiply by 2 you get 12:20

multiply by 1.5 you get 9:15


D is not equivalent




4 0
3 years ago
A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the vol
k0ka [10]

The length of the rectangular delivery box must be equal to 4 inches.

Let the length of the box be L.

Let the width of the box be W.

Let the height of the box be H.

<u>Given the following data:</u>

  • Volume of box = 224 cubic inches.

Translating the word problem into an algebraic expression;

W = 3 + L  ......equation 1

H = 4 + L  ......equation 2.

Mathematically, the volume of a rectangular solid is given by the formula;

Volume = length * width * height  .....equation 3.

Substituting the values into equation, we have;

224 = L * (3 + L) * (4 + L)\\\\224 = (3L + L^{2})* (4 + L)\\\\224 = 12L + 3L^{2} + 4L^{2} + L^{3} \\\\224 = 12L + 7L^{2} + L^{3}

Rearranging the polynomial, we have;

L^{3} + 7L^{2} +  12L - 224 = 0

We would apply the remainder theorem to solve the polynomial.

According to the remainder theorem, if a polynomial P(x) is divided by (x - r) and there is a remainder R; then P(r) = R.

When x = 3

(x - 3) = 0\\x = 3

P(3) = 3^{3} + 7(3^{2}) + 12(3) - 224\\\\P(3) = 27 + 7(9)  + 36 - 224\\\\P(3) = 27 + 63 + 36 - 224 = -98 \neq 0

We would try with 4;

P(4) = 4^{3} + 7(4^{2}) + 12(4) - 224\\\\P(4) = 64 + 7(16)  + 48 - 224\\\\P(4) = 64 + 112 + 48 - 224\\\\P(4) = 224  - 224 = 0

Therefore, 4 is one of its roots.

Hence, the length of the rectangular delivery box must be equal to 4 inches.

Find more information on polynomial here: brainly.com/question/10689855

3 0
2 years ago
X +x= telllllllllkkkll​
amid [387]

Answer: X + X= 2x or X squared.

Step-by-step explanation:

8 0
3 years ago
Which properties justify the steps taken to solve the system? {3x−2y=10 4x−3y=14
Alexeev081 [22]
The answer is: Substitution property of equality.

 The explanation is shown below:

1. To solve this problem you must apply the proccedure shown below:

 2. When you clear the variable x from the first equation, and subtitute it into the second equation, you obtain:

 <span>3x−2y=10
 x=(10+2y)/3

 4x−3y=14
 </span>4[(10+2y)/]−3y=14
<span> y=-2

 3. When you subsitute y=-2 into the first equation and clear the x, you have:

 x=2
 </span>
7 0
3 years ago
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Hi, join this i am a girl come and see<br>uke-sash-prv​
sammy [17]

cool one

Step-by-step explanation:

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