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Sonja [21]
3 years ago
6

The three steps are shown below were used to find an expression equivalent to 2/5( 15x- 30y)+10x

Mathematics
1 answer:
Tresset [83]3 years ago
8 0

B

step 1 is to distribute the bracket by \frac{2}{5}

= \frac{2}{5} × 15x - \frac{2}{5} × 30y + 10x

= 6x - 12y + 10x ← step 1


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Margaret is playing a game with a standard deck of 52 cards which contains 4 jacks. The first player to select a jack gets to st
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Step-by-step explanation:  The theoretical probability that Margaret, when choosing first, will choose a jack, is 1/13.

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5 0
4 years ago
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Choose the best answers to complete the statements below.
morpeh [17]

<u>Answer:</u>

245 days per year ; 1715 hours per year

<u>Step-by-step explanation:</u>

Every emplyoee  works 5 days per week , 49 weeks per year. So,

Every employee works,

5 \times 49 days  = 245 days per year .

Every employee works  7 hours per day,

so, every employee works  7 \times 245 hours

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5 0
3 years ago
What is the sum of 12 – 5i and –3 4i? –16 63i 9 – i 9 – 9i 15 – 9i
Anarel [89]

The sum of the complex number  12 – 5i and –3 + 4i is 9 - i

<h3>How to sum complex number?</h3>

The sum of 12 – 5i and –3 + 4i can be done as follows:

Therefore,

12 - 5I + (-3 + 4i)

12 - 5i - 3 + 4i

Hence,

combine like terms

12 - 3 - 5i + 4i

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9 - i

learn more on complex number: brainly.com/question/10373914

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6 0
2 years ago
What is the measure of the angle of intersection when AB is the
Nataliya [291]

Answer:

<u>Option 90°</u>

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8 0
3 years ago
A cone with height h and radius r has volume V = 1/3πr2h. If the cone has a height of 6 in. and volume V = 8πx2 + 24πx + 18π, wh
Bingel [31]

Answer:

C

Step-by-step explanation:

The volume for a cone is given by:

\displaystyle V=\frac{1}{3}\pi r^2h

For a given cone with a height of 6 inches, the volume is represented by:

\displaystyle V=8\pi x^2+24\pi x+18\pi

We want to find the radius <em>r</em> in terms of <em>x</em>.

Since the height is 6, this means that:

\displaystyle V=\frac{1}{3}\pi r^2(6)=2\pi r^2

By substitution:

2\pi r^2=8\pi x^2+24\pi x+18\pi

Divide both sides by 2π:

\displaystyle r^2=\frac{8\pi x^2+24\pi x+18\pi}{2\pi}=4x^2+12x+9

Factor the right. Notice that we have a perfect square trinomial*:

4x^2+12x+9=(2x)^2+2(2x)(3)+(3)^2

Factor:

4x^2+12x+9=(2x+3)^2

Therefore:

r^2=(2x+3)^2

Take the square root of both sides. The radius should be positive, so we only need to consider the positive case:

r=\sqrt{(2x+3)^2}=2x+3

And our answer is C!

*Note:

a^2+2ab+b^2=(a+b)^2\\\\\text{In this case } a = 2x\text{ and } b =3

5 0
3 years ago
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