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3 years ago

For what value of a does 9 equal 1/27 a + 3

Mathematics

2 answers:

Yakvenalex [24]3 years ago

6 0

Answer:

a = 162

Step-by-step explanation:

9 = 1/27 a +3

Subtract 3 from each side

9-3 = 1/27 a +3-3

6 = 1/27 a

Multiply each side by 27

6*27 = 1/27 a *27

162 = a

expeople1 [14]3 years ago

5 0

Answer:

a = 162.

Step-by-step explanation:

1/27 a + 3 = 9

1/27 a = 9 - 3 = 6

Multiply both sides by 27:

a = 6 * 27

a = 162.

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Identify the minimum or maximum value and the domain and range of the function

sdas [7]

Y = 2 ( X - 3 ) ^ 2 - 4 =-4

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3 years ago

The measure of angle A in ABC is twice the measure of angle B and the measure of angle C is 20° less than the measure

diamong [38]

Answer:

m∡A = 100°

m∡B = 50°

m∡C = 30°

Step-by-step explanation:

let 'x' = m∡B; 50°

let '2x' = m∡A; 100°

let 'x-20' = m∡C; 30°

x + 2x + x - 20 = 180

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7 0

3 years ago

A leaking pond loses 20 gallons of water in 35 hours. How many gallons of water will it lose in 47 hours?

Mama L [17]

20/35 gallons per hour
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6 0

3 years ago

3x+-2y=-6<br> 5x-2y=7<br> how do i solve this Elimination pls

tatuchka [14]

Answer:

$x=\frac{13}{2}, y=\frac{51}{4}$

Step-by-step explanation:

$We\ are\ given,\\3x-2y=-6\\5x-2y=7\\Considering\ this\ system\ of\ equations,\\Let\ 3x-2y=-6\ be\ E_1\\Let\ 5x-2y=7\ be\ E_2,\\Hence,\\Multiplying\ E2\ with\ -1, we\ get:\\3x-2y=-6\\-1(5x-2y)=7*-1\\Hence,\\3x-2y=-6\\-5x+2y=-7\\Now,\\Lets\ add\ E_1\ and\ E_2\ together\\Hence,\\(3x-2y)+(-5x+2y)=(-6)+(-7)\\Hence,\\3x-2y-5x+2y=-13\\Arranging\ And\ Adding\ Like\ terms,\ we\ have:\\3x-5x-2y+2y=-13\\Hence,\\-2x+0y=-13\\-2x=-13\\x=\frac{-13}{-2}=\frac{13}{2}$

$Now,\ we\ can\ substitute\ x=\frac{13}{2}\ in\ E_1\ or\ E_2,\\But,\\Here,\ we'll\ substitute\ it\ in\ E1,\\Hence,\\Substituting\ x=\frac{13}{2}\ in\ E1,\ we\ have:\\3*\frac{13}{2}-2y=-6\\\frac{39}{2}-2y=-6\\-2y=-6- \frac{39}{2}\\-2y=\frac{-12-39}{2}\\-2y=\frac{-51}{2}\\y=\frac{-51}{2*-2}=\frac{51}{4}\\Hence,\\x=\frac{13}{2}, y=\frac{51}{4}$

4 0

3 years ago

A research company claims that no more than 55% of Americans regularly watch FOX News. You decide to test this claim and ask a r

7nadin3 [17]

Answer: z(e) = 2.07

Step-by-step explanation:

1.-The problem is about a test of proportions. As research company claims than no more 55 % of Americans regularly watch Fox News

The null hypothesis is H₀ P₀ ≤ 0.55 from 55%

And the alternative hypothesis is Hₐ Pₐ > .55

Is one tail test

2.-We have to specify significance level we assume our test will be for a significance level α = 5% or α = 0,05

3.-Calculation of z (c) = ?? and z (e) = '??

For z (c) we find in z table the value of z(c) = 1.64

For z (e) = ( P -P₀)/√p₀q₀/n z(e) = 0.05 / √(0.55*0,45)/425 z(e) = 0,05/ 0.02413 z(e) = 2.07

z(e) > z(c) threfore z(e) is in the rejection zone . We reject null hyothesis

4 0

3 years ago

For what value of a does 9 equal 1/27 a + 3​

For what value of a does 9 equal 1/27 a + 3