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dmitriy555 [2]
3 years ago
10

Hellllpme!!!!! ASAP!

Mathematics
2 answers:
Vikki [24]3 years ago
6 0

Answer:

A

Step-by-step explanation:

This notation says that x+x+x+x+37=69

This can be simplified to say 4x+37=69

leva [86]3 years ago
6 0

Answer:

a

Step-by-step explanation:

69-37=32.

32÷4=8

69=4x+37

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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
What is 2\20 divided by 2
Valentin [98]
\frac{2}{20} \div 2 \\ \\  \frac{1}{10} \div 2 \\ \\  \frac{1}{10} \times  \frac{1}{2} \\ \\  \frac{1 \times 1}{10 \times 2} \\ \\  \frac{1}{20} \\ \\

The final result is: 1/20 or 0.05.
3 0
3 years ago
Look at the image for the question.
PtichkaEL [24]
I don’t see any images
8 0
3 years ago
Oliver works 5 days a week. He drives 53 kilometres each day and walks a total of 25 kilometres over the week: He uses the follo
nikklg [1K]
I think it’s 36 but I’m not good at math so don’t count me on it
7 0
2 years ago
Question 3 10 - 3 3x + 6 + 3 9​
lana [24]

Answer:

55-9x

Step-by-step explanation:

that's the answer I got hopefully it's correct sorry if it's not

3 0
2 years ago
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