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1 year ago

93 27 14 what is next in the sequence?

Mathematics

1 answer:

Assoli18 [71]1 year ago

6 0

Answer:

Step-by-step explanation:

9×3=27

2×7=14

1×4=4

nice logic

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.The conversion of square feet to square yards can be represented by direct variation. Three square yards are equivalent to 27 s

Citrus2011 [14]

Answer:

The constant of variation is 1/9

The equation representing the direct variation is y/x= 1/9

Step-by-step explanation:

In direct variation, y/x=k denotes the equation, with k being the constant of variation. Here, y is the number of square yards and x is the number of square feet. Therefore, as we know that 27 square feet = 3 square yards, we can write one point (x₁, y₁) as (27 square feet, 3 square yards). Plugging x₁ and y₁ into our equation, we get

y/x = k

3 / 27 = k

(3/27) / (3/3) = 1/9* = k

Therefore, the constant of variation is 1/9

Next, as stated previously, y/x = k represents the equation of direct variation. Therefore, y / x = 1/9 as our equation

* because 3 is a factor of both 3 and 27, we can divide both the numerator and denominator by 3 to keep the fraction the same but also simplify it. One way to find the greatest common factor is to list the factors of each number and see the highest number that is a factor of both

5 0

1 year ago

Elisse has 20 meters of ribbon how many 15 cm of ribbon can be cut from it

ASHA 777 [7]

Answer:

133 pieces of 15cm can be cut from the ribbon.

Step-by-Step Explanation:

Length of ribbon = 20 meters

Length needed to be cut = 15 cm

We will convert meters into centimeters.

1 meter = 100 cm

20 meters = 2000 cm

Number of pieces = $\frac{2000}{15}$

Number of pieces = 133.33

Rounding off to nearest whole number = 133

Hence,

133 pieces of 15cm can be cut from the ribbon.

8 0

1 year ago

Zara has forgotten her 4-digit PIN code.

Greeley [361]

Step-by-step explanation:

1st digit : 1 / 2 / 4 / 5

4th digit : 0 / 2 / 4 / 6 / 8

Total number of sets = 4 * 10 * 10 * 5 = 2000.

7 0

1 year ago

A heated piece of metal cools according to the function c(x) = (.5)x − 7, where x is measured in hours. A device is added that a

Mama L [17]

Answer:

Option (b) is correct.

The temperature of the metal after two hours is 28 Celsius

Step-by-step explanation:

Given : A heated piece of metal cools according to the function $c(x)=(0.5)^{x-7}$ , where x is measured in hours and then a cooling device id added that aids in cooling according to the function $h(x)=-x-2$

We have to determine the temperature of the metal after two hours.

Let w(x) denotes the temperature of metal .

Thus, w(x) can be given by function c(x) + h (x) = [c + h](x)

Thus, $w(x)=[c+h](x)\\\\w(x)=(0.5)^{x-7}+(-x-2)\\\\$ , where x is measured in hours.

Thus, after two hours that is when x = 2

the temperature of metal is given by w(2)

$w(x)=(0.5)^{x-7}+(-x-2)\\\\ w(2)=(0.5)^{2-7}+(-2-2)$

Solving , we get,

$w(2)=(0.5)^{2-7}+(-2-2)\\\\ w(2)=(0.5)^{-5}+(-4)\\\\ w(2)=32-4=28$

Thus, the temperature of the metal after two hours is 28 Celsius.

Hence, Option (b) is correct.

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1 year ago

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A six foot man is standing 10 feet away from a 20 foot lamppost. what is the length of his shadow?

elena55 [62]

There are two congruent triangles that are being formed from the lamppost, the light, the ground and the man. Always try to draw a picture for these types of problems. It helps a lot when solving. Your answer should be about 4.3ft

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1 year ago

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