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3 years ago

PS! ..-4(7a + 5) = -160

Mathematics

1 answer:

inn [45]3 years ago

3 0

4(7a + 5) = -160

mutiply the bracket by 4

(4)(7a)(4)(+5)= -160

28a+20= -160

move +20 to the other side

sign changes from +20 to -20.

28a+20-20= -160-20

28a= -180

Divide by 28

28a/28= -180/28

x= -180/28

reduce by dividing 4

-180/4= -45

28/4= 7

-45/7 or -6 3/7

Answer : x= -45/7 , x= -6 3/7

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Step-by-step explanation:

We can find angle K

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Twenty-eight athletes participate in a 100-meter race. The time of each athlete is measured during the qualification round. The

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The average time of the 20 athletes who did not qualify for the final is 11.2 seconds .

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

Here we have , Twenty-eight athletes participate in a 100-meter race. The time of each athlete is measured during the qualification round. The average time is 11 seconds. The 8 athletes with the fastest time qualified for the final. The average time of these 8 athletes is 10.5 seconds. Let's have equations for this:

$\frac{x_1+x_2+.....+x_2_8}{28} = 11$ where $x_1, x_2, ....., x_2_8$ are athletes

⇒ $x_1 + x_2 + .. + x_2_8 = 11(28)= 308$

⇒ $(x_1 + x_2 + .. + x_8 )+ (x_9+x_1_0+...+x_2_8) = 308$

⇒ $(\frac{x_1 + x_2 + .. + x_8}{8} )(8)+ (\frac{x_9+x_1_0+...+x_2_8}{20} )(20) = 308$

⇒ $10.5(8)+m(20) = 308$ , where m is average time of the 20 athletes who did not qualify for the final.

⇒ $84+m(20) = 308$

⇒ $20m= 224$

⇒ $m=11.2$

∴ The average time of the 20 athletes who did not qualify for the final is 11.2 seconds .

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3 years ago