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marissa [1.9K]
4 years ago
5

Sydney ran 400 meters in 1 minute and 20 seconds. What was Sydney’s average rate in meters per second?

Mathematics
2 answers:
Sunny_sXe [5.5K]4 years ago
8 0
The average rate is 5 mps because 80 seconds times 5 equals 400 meters
Nadusha1986 [10]4 years ago
5 0

Answer:

The average rate is 5 mps

Step-by-step explanation:

because 80*5=400 meters

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I hope this helps. X is equal to 4 and -9

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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
3 years ago
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son4ous [18]

Answer:

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divide by 3 on both sides

x=3.666 repeating

Step-by-step explanation:

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3 years ago
Solve for x:
mariarad [96]

Answer:The value of x can be calculated by the following steps;

Step-by-step explanation:

8 0
3 years ago
Point E is added to the given figure so that point E lies on segment BD exactly halfway between points B and D. Which statement
frosja888 [35]

The statement that correctly compares the angle measures m∠ABD = m∠ABE. The correct option is A. m∠ABD = m∠ABE

<h3>Measure of angles</h3>

From the question, we are to determine the statement that correctly compares the angle measures

From the information,

Point E is added to the given figure so that point E <u>lies on segment BD</u> and it is <u>exactly halfway</u> between points B and D

From this, we can infer that

m∠ABD = m∠ABE

and

m∠DBC = m∠EBC

This is because, point E lies on segment BD and it does not affect the angle measures

Hence,  the statement that correctly compares the angle measures m∠ABD = m∠ABE. The correct option is A. m∠ABD = m∠ABE

The complete and correct question is attached

Learn more on Angle measures here: brainly.com/question/25928670

#SPJ1

8 0
2 years ago
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