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4 years ago

The length of a rectangle is 10m greater than the width. The area is 24m^2

Mathematics

1 answer:

Ivan4 years ago

5 0

Answer:

length: 12m

width: 2m

Step-by-step explanation:

24 = a*w

a = w+10

then:

24 = (w+10)w

24 = w*w + 10*w

24 = w² + 10w

0 = w² + 10 - 24

w = {-10±√((10²)-(4*1*-24))} / (2*1)

w = {-10±√(100+96)} / 2

w = {-10±√196} / 2

w = {-10±14} / 2

only positive numbers:

w = {-10+14}/2

w = 4/2

w = 2m

a = w+10

a = 2 + 10

a = 12m

Check:

24 = 12*2

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Answer:

Step-by-step explanation 10 + 2.50d = 850

David starts with $10 and each day he earns $2.50. The d represents a variable and can be any number.

To find d you must solve the equation.

10 + 2.50d = 850

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4 years ago

What is the given variables of (ab²) ÷ a + 24 – b; a = -2 b= 3 ?

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Answer:

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Step-by-step explanation:

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2 years ago

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The inequality that represents the number of each type of fabric that Naomi has is:

$9x+16y \leq 53$

Let the number of short-sleeved shirts she made be x

Let the number of long-sleeved shirts she made be y

Length of clothes used to make a short-sleeved shirt = 9 yards

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Length of short-sleeved shirts made = 9x

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2 years ago

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Answer:

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3 years ago

Example 2: Combining Use of the Multiplication and Addition Rules

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Answer:

The probability of getting 6's on both cubes is $\frac{1}{36}$ .

The probability that the total score is at least 11 is $\frac{1}{12}$ .

Step-by-step explanation:

Consider the provided information.

A red cube has faces labeled 1 through 6, and a blue cube has faces labeled in the same way.

Part (A) Both cubes show 6’s.

Probability of getting 6 on red cube is $\frac{1}{6}$

Probability of getting 6 on blue cube is $\frac{1}{6}$

Thus, the probability of getting 6's on both cubes is:

$P(\text{Both 6's})=\frac{1}{6}\times\frac{1}{6}=\frac{1}{36}$

Hence, the probability of getting 6's on both cubes is $\frac{1}{36}$ .

Part (B) The total score is at least 11.

The possible number of outcomes in which total score is at least 11 is:

Red shows 6 and Blue shows 5.

Blue shows 6 and Red shows 5.

Blue shows 6 and Red shows 6.

Thus, the probability of total score is at least 11.

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Hence, the probability that the total score is at least 11 is $\frac{1}{12}$ .

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3 years ago