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2 years ago

Which of the following represents a valid first step to solving this system of equations using the substitution method?

Mathematics

1 answer:

Phoenix [80]2 years ago

7 0

Answer:

2(2y - 1) - y = 7

Step-by-step explanation:

I guess the 2 equations are

2x - y = 7

x = 2y - 1

substitution message that you use one equation to express one variable by the other, and then you use that in the other equation to get one equation for one variable. then you solve for that, and use that result in the first equation to since for the second variable.

the equations are already defined that way, that the second equation directly defines x as an excision of y.

so, this needs to be used then in the first equation.

and that makes

2(2y - 1) - y = 7

the correct first step.

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The volume of a cylinder is 400x cm. The radius of the base of the cylinder is 4 cm. What is the height of the cylinder

irina1246 [14]

Answer: 8cm

Step-by-step explanation:

$V=\pi r^2h$

Solve for h;

$h=\frac{V}{\pi r^2}$

$h=\frac{400cm^3}{(3.14)(4cm)^2}$

$h=7.96\\h=8$

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3 years ago

Where is Yoda in the fourth movie what is that green place called??

o-na [289]

I believe its called <span>Dagobah</span>

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3 years ago

Read 2 more answers

Nadia is investigating rotations about the center of regular polygons that carry the regular polygon onto itself. She claims tha

GalinKa [24]

Answer:

$\theta_1 \ n\ \theta_2 = 120, 240$

Step-by-step explanation:

The question is incomplete, as the angles of rotation are not stated.

However, I will list the angles less than 360 degrees that will carry the hexagon and the nonagon onto itself

We have:

$Nonagon = 9\ sides$

$Hexagon = 6\ sides$

Divide 360 degrees by the number of sides in each angle, then find the multiples.

<u>Nonagon</u>

$\theta = \frac{360}{9} =40$

List the multiples of 40

$\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320$

<u>Hexagon</u>

$\theta = \frac{360}{6} =60$

List the multiples of 60

$\theta_2 = 60, 120, 180, 240, 300$

List out the common angles

$\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320$

$\theta_2 = 60, 120, 180, 240, 300$

$\theta_1 \ n\ \theta_2 = 120, 240$

This means that, only a rotation of $120, 240$ will lift both shapes onto themselves, when applied to both shapes.

The other angles will only work on one of the shapes, but not both at the same time.

7 0

3 years ago

Find the cardinality of the set B = { 5, 6, 7, … , 100}

vaieri [72.5K]

The cardinality of the set B is given to be 96.

<h3>What is the cardinality of a set?</h3>

This is the term that is used to refer to the number of elements that a given set can be said to contain.

This is a set that has numbers that ranges from 5 to 100, this tells us that the numbers 1, 2, 3, 4 are excluded from the set.

Hence the total numbers excluded is 4. 100 - 4 = 96

Therefore from 5 to 100, the total 9 and the cardinality of the set B is 96.

Read more on the cardinality of a set here: brainly.com/question/23976339

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3 0

1 year ago

Select the equations that are correct.mark all that apply.

allsm [11]

Answer:

17,550÷65=270 Correct

11,196÷12=933 Correct

11,712÷96=122 Correct

Step-by-step explanation:

17,550÷65=270 Correct

11,196÷12=933 Correct

29,365÷35=677 Incorrect

11,712÷96=122 Correct

4 0

3 years ago