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Delvig [45]
2 years ago
6

Which expression is equivalent to 8(a+3)

Mathematics
1 answer:
Alex777 [14]2 years ago
8 0

Answer:

8a + 24

Step-by-step explanation:

Use Distributive property: a(b +c) = a*b + a*c

Here a = 8 ;  b= a & c = 3

8(a + 3) = 8*a + 8*3

            = 8a + 24

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7/4x^2 -2 = - 0.05x + 4
nata0808 [166]

Answer:

x1=\frac{-2-2\sqrt{29401} }{245}  x2=\frac{-2+2\sqrt{29401} }{245}

Step-by-step explanation:

Step One: Convert

49/16x^2-2=-0.05x+4

Step Two: Multiply Both Sides by 80

245x^2-160=-4x+320

Step Three: Move everything to the left

245x^2+4x-480=0

Final Step: Quadratic Formula

x1=\frac{-2-2\sqrt{29401} }{245}  x2=\frac{-2+2\sqrt{29401} }{245}

6 0
3 years ago
A wheel spins at 300 revolutions per minute. What is the angular velocity of the wheel, in radians per second? Round the answer
Ostrovityanka [42]

well, this is just a matter of simple unit conversion, so let's recall that one revolution on a circle is just one-go-around, radians wise that'll be 2π, and we also know that 1 minute has 60 seconds, let's use those values for our product.

\cfrac{300~~\begin{matrix} r \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{~~\begin{matrix} min \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{2\pi ~rad}{~~\begin{matrix} r \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{~~\begin{matrix} min \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{60secs}\implies \cfrac{(300)(2\pi )rad}{60secs}\implies 10\pi ~\frac{rad}{secs}\approx 31.42~\frac{rad}{secs}

7 0
2 years ago
Solve for x and graph the solution on the number line<br> 15 &gt; 2x – 9 &gt; -23
Monica [59]

The answer is 12>x>-7

Step-by-step explanation:

it's first divided into 2 parts

1 . 15 > 2x - 9

2. 2x - 9 > -23

Then solve them individually.

let's do it,

<u>First half</u>

15 > 2x - 9

15+9 > 2x

24 > 2x

24/2 > x

12>x

<u>Second half</u>

2x-9>-23

2x>-23+9

2x>-14

x>-14/2

x>-7

<u>Joining of the two halves</u>

We have :

12>x>-7

8 0
3 years ago
I need help anyone ?? please
Ulleksa [173]

Answer:

you need to show more for help

Step-by-step explanation:

5 0
3 years ago
Is 12 posters for 36 students equivalent to 21 posters to 63 student
Dmitry [639]

yes.

this is division. 36 divided by 12 is 3. 63 divided by 21 is 3.

3 0
3 years ago
Read 2 more answers
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