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3 years ago

Step by step plz on how to do this

Mathematics

2 answers:

maria [59]3 years ago

7 0

Answer:

x=3

Step-by-step explanation:

Step 1: you have to replace y with x-6 to make it all one equation (as seen in the picture below)

Step 2: write it all together so: x-6= -2x+3

Step 3: add 2x on both sides to cancel out the negative so: x+ 2x and -2x+2x

Step 4: add 6 on both sides to cancel out the negative so: -6+ 6 and 3+6

Step 5: divide 3 by 3x and 9 to get x

Zinaida [17]3 years ago

3 0

X = 3 had to put this for points

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A triangular pyramid with a height of 9 inches has a volume of 63 cubic inches. If the height of the triangular base is 6 inches

Bond [772]

Option D: 21 in is the base length of the triangular base.

Explanation:

Given that a triangular pyramid with a height of 9 inches has a volume of 63 cubic inches.

The height of the triangular base is 6 inches.

We need to determine the base length of the triangular pyramid.

The base length of the triangular pyramid can be determined using the formula,

$Volume =\frac{1}{3} \times Bh$

Substituting $Volume=63$ and $Height=9$ in the above formula, we get,

$63 =\frac{1}{3} \times B(9)$

Simplifying the terms, we get,

$63 =3B$

Dividing both sides by 3, we have,

$21=B$

Thus, the base length of the triangular pyramid is 21 in

Hence, Option D is the correct answer.

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3 years ago

The library has at least 5,000 books. Which inequality represents the situation an has an infinite number of solutions?

just olya [345]

MORE THAN OR EQUAL TO 5000<span>≥</span>

3 0

3 years ago

The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.4 minutes and a standard deviation of 3.5

Lorico [155]

Answer:

0.6672 is the required probability.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 8.4 minutes

Standard Deviation, σ = 3.5 minutes

We are given that the distribution of distribution of taxi and takeoff times is a bell shaped distribution that is a normal distribution.

According to central limit theorem the sum measurement of n is normal with mean $\mu$ and standard deviation $\sigma\sqrt{n}$

Sample size, n = 37

Standard Deviation =

$=\sigma\times \sqrt{n} = 3.5\times \sqrt{37}=21.28$

P(taxi and takeoff time will be less than 320 minutes)

$P( \sum x < 320) = P( z < \displaystyle\frac{320 - 37(8.4)}{21.28}) = P(z < 0.4323)$

Calculation the value from standard normal z table, we have,

$P(\sum x < 320) =0.6672 = 66.72\%$

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3 years ago

Write a fraction that is equivalent to 6 divided by 27

faust18 [17]

27/6 because this shows that you are dividing 6 from 27.

5 0

3 years ago

Read 2 more answers

Solve the equation using square roots 6x2=54

o-na [289]

6x^2 = 54

x^2 = 9

x = -3, 3

Hope this helps!

4 0

3 years ago