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Aneli [31]
3 years ago
10

The solution to the inequality that represents the problem "Half a number plus 8 is greater than or equal to 20" is:

Mathematics
2 answers:
abruzzese [7]3 years ago
7 0

Answer :- b) x ≥ 24

<u>Solution</u> :-

We can write the problem presented in the form of an inequality:

  • \bf \dfrac{x}{2}+8\geq20

Now, we can proceed to its solution:-

\qquad \pink{\twoheadrightarrow\bf \dfrac{x}{2}+8\geq20}

\qquad \twoheadrightarrow\sf \dfrac{x}{2}\geq20-8

\qquad \twoheadrightarrow\sf \dfrac{x}{2}\geq12

\qquad \pink{\twoheadrightarrow\sf  x\geq24}

  • Henceforth,Option b) x ≥ 24 is correct.
aleksandrvk [35]3 years ago
4 0
A
Greater than will always have the opening facing the number that is “greater than”

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A three inch diameter pulley on an electric motor that runs at 1800
Bezzdna [24]

Answer:

a) 3 inch pulley: 11,309.7 radians/min

6) 6 inch pulley: 5654.7 radians/min

b) 900 RPM (revolutions per minute)

Step-by-step explanation:

Hi!

When a pulley wirh radius R rotantes an angle θ, the arc length travelled by a point on its rim is Rθ.  Then the tangential speed V is related to angular speed  ω as:

V=R\omega

When you connect two pulleys with a belt, if the belt doesn't slip, each point of the belt has the same speed as each point in the rim of both pulleys: Then, both pulleys have the same tangential speed:

\omega_1 R_1 = \omega_2 R_2\\

\omega_2 = \omega_1 \frac{R_1}{R_2} =1800RPM* \frac{3}{6}= 900RPM

We need to convert RPM to radias per minute. One revolution is 2π radians, then:

\omega_1 = 1800*2\pi \frac{radians}{min} = 11,309.7\frac{radians}{min}

\omega_2 = 5654.7 \frac{radians}{min}

The saw rotates with the same angular speed as the 6 inch pulley: 900RPM

3 0
4 years ago
How do you write the algebraic notation when the scale factor is 3 ​
Alja [10]

Answer:

(x,y) = (3x,3y)

Step-by-step explanation:

3 0
3 years ago
Could I have help on B please?
adelina 88 [10]

Answer:

80

Step-by-step explanation:

I remember studying this but forgot the terminology, but basically the line adds up to 180. I believe it was called Adjacent lines or something, but I don't remember. Hope this sparks your memory :)

6 0
3 years ago
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Vanyuwa [196]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Vivian surveyed bicyclists in her community to see the average number of miles they biked per day. Her results are shown below.
Alex

Answer:

MAD of her data set is 4.

Step-by-step explanation:

Vivian surveyed bicyclists in her community to see the average number of miles they biked per day.

The data set is given below :

7, 10, 13, 4, 12, 21, 10, 3

mean=\frac{\text{Sum of data set}}{\text{number of values}}

=\frac{(7+10+13+4+12+21+10+3)}{8}

=\frac{80}{8}

= 10

MAD=\frac{\sum |A_1-f_1|}{n}

              Data point          Distance from mean

                                             

1                  7                           7 - 10   =     | -3 |     = 3

2.                10                         10 - 10  =     | 0 |       = 0

3.                13                          13 - 10  =     | 3 |     = 3

4.                4                           4 - 10    =    | -6 |    = 6

5.               12                          12 - 10   =    | 2 |     = 2

6.               21                          21 - 10   =    | 11 |   = 11

7.               10                          10 - 10   =    | 0 |     = 0

8.               3                            3 - 10   =    | -7 |   = 7

                                               

Adding the distance = 3 + 0 + 3 + 6 + 2 + 11 + 0 + 7 = 32

MAD = \frac{32}{8} = 4

MAD of her data set is 4.

Mean Absolute Deviation of this data tells about the variation of 4 miles biked each day by the bicyclists.

6 0
3 years ago
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