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3 years ago

What is the value of x in the equation 2x + 3y= 36, when y=6

Mathematics

2 answers:

Lesechka [4]3 years ago

3 0

X=9 i hope this helps you !

Vladimir [108]3 years ago

3 0

Answer:

x = 9

Step-by-step explanation:

2x + 3(6)= 36

2x + 18= 36

- 18 - 18

2x = 18

divide by 2

x= 9

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Justin got a sack of Jelly beans in 5 different colors. Half if them were red,1/6 were green,1/6 were yellow,1/12 were orange, a

Mrrafil [7]

Answer:

Total number of Jelly beans in the sack = 72

Number of red beans = 36

Number of green beans = 12

Number of yellow beans = 12

Number of orange beans = 6

Number of black beans = 6

Step-by-step explanation:

Let total number of jelly beans be = $x$

We are given fractions of different colors of beans. To find the exact number of beans we need to multiply the fraction with the total number of beans.

Fraction of total are red beans = $\frac{1}{2}$

Number of red beans = $\frac{1}{2}\times x= \frac{x}{2}$

Fraction of total are green beans = $\frac{1}{6}$

Number of green beans = $\frac{1}{6}\times x= \frac{x}{6}$

Fraction of total are yellow beans = $\frac{1}{6}$

Number of yellow beans = $\frac{1}{6}\times x= \frac{x}{6}$

Fraction of total are orange beans = $\frac{1}{12}$

Number of orange beans = $\frac{1}{12}\times x= \frac{x}{12}$

Number of black beans = 6

Total number of beans can be given as

$\frac{x}{2}+\frac{x}{6}+\frac{x}{6}+\frac{x}{12}+6$

Since we assumed total number of beans to be $x$ , so we have.

$\frac{x}{2}+\frac{x}{6}+\frac{x}{6}+\frac{x}{12}+6=x$

Multiplying each term by 12 to remove fractions.

$(12\times\frac{x}{2})+(12\times\frac{x}{6})+(12\times\frac{x}{6})+(12\times\frac{x}{12})+(12\times6)=12\times x$

$6x+2x+2x+x+72=12x$

combining like terms.

$11x+72=12x$

Subtracting both sides by $11x$

$11x+72-11x=12x=11x$

$72=x$

∴ $x=72$

Total number of Jelly beans in the sack = 72

Number of red beans = $\frac{1}{2}\times 72= 36$

Number of green beans = $\frac{1}{6}\times 72= 12$

Number of yellow beans = $\frac{1}{6}\times 72= 12$

Number of orange beans = $\frac{1}{12}\times 72= 6$

number of black beans = 6

8 0

3 years ago

Which type of sampling method is being employed in the following example:

Bogdan [553]

Answer: Convenience sample

Step-by-step explanation: The person asks the fist people in the store she sees at the technology counter so it is not a random sample.

8 0

3 years ago

What is the surface area of the figure below? Round your answer to the nearest whole number.

Strike441 [17]

Answer:

I believe the answer is C. 674 because the surface area of the pyramid is approx. 682.64569.

Step-by-step explanation:

I'm sorry I could be of more help.

3 0

2 years ago

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Select the correct answer. A new building in the shape of a square pyramid is to be constructed. The slant height will be five t

marysya [2.9K]

From the information given about the square pyramid, the maximum base length of the building is 67.42 cm.

<h3>How do you determine the maximum side length?</h3>

We are given the following details are:

Base = b

Slant height (l) = 5b

The lateral surface area is calculated using:

L = 2bl

So, we have:

L = 2 * b * 5b

Evaluate the product

L = 10b²

The total surface area is calculated using:

T = L + b²

So, we have:

T = 10b² + b²

Evaluate the sum

T = 11b²

Recall that the maximum surface area is 50,000 square feet

So, we have:

11b² = 50000

Divide both sides by 11

b² = 50000/11

Taking the square root of both sides, we have

b = 67.42

Hence, the maximum base length of the building is 67.42 cm

Learn more about square pyramids at:

brainly.com/question/12146629

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2 years ago

What’s pi? (i actually kno what it is i’m jus bored lol)

Alenkasestr [34]

Answer:

3.14159 and so on

Step-by-step explanation:

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3 years ago

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