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djyliett [7]
3 years ago
9

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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What is the solution to the following system of equations:<br><br>7x+2y=24<br>8x+2y=30<br>​
GuDViN [60]

Answer:

7x +2y =24 --------- (i)

8x +2y= 30 ---------(ii)

Subtracting eqn. (i) & (ii)

7x +2y =24

8x +2y= 30

- - -

___________

-x = - 6

Putting the value of x in eqn. (i)

7*6 +2y =24

42 +2y =24

2y =-18

y = - 9

Hence, x=6 and y= - 9

Hope it helps!!

3 0
2 years ago
An ambulance has a mass of 5.44×10^5 ounces.
earnstyle [38]
C.tons 
544000 ounces converts to 17 tons.
8 0
3 years ago
Substitution: y-2x=-6 and 5x-y=9
Dmitrij [34]
<span>y-2x=-6 and 5x-y=9   

step 1: isolate y in the first equation

y = 2x - 6

step 2:  substitute the y value on the 2th equation:

5x-(2x-6)=9

step 3:  solve the present equation:

5x - 2x + 6 = 9
3x = 9-6
3x = 3
x = 1

step 4: get the y value by replacing the value of x in </span>y = 2x - 6:
<span>
y = 2*1 - 6
y = 2 - 6
y = -4

S={1, -4}



</span>
7 0
3 years ago
Read 2 more answers
Find an exact value.
leonid [27]

Answer:

(√2 - √6) / 4

C. square root of two minus square root of six divided by four.

Step-by-step explanation:

sine of negative eleven pi divided by twelve.

We have :

sin(-11π/12)

sin((4 - 15)π / 12) = sin(4π/12 - 15π/12)

sin(4π/12 - 15π/12) = sin(π/3 - 5π/4)

Recall:

Angle difference formula:

sin(A - B) = sinAcosB - sinBcosA

Hence,

sin(π/3 - 5π/4) = sin(π/3) cos(5π/4) − sin(5π/4) cos(π/3)

From trigonometry:

sinπ/3 = √3/2

cos5π/4 = -√2/2

sin5π/4 = -√2/2

cos π/3 = 1/2

(√3/2) (-√2/2) − (-√2/2) (1/2)

-√6/4 - -√2/4

-√6/4 + √2/4

√2/4 - √6/4

(√2 - √6) / 4

7 0
2 years ago
Hamish and Harry work as plumbers. Harry earns a dollar more than the amount Hamish earns per hour. The amount Harry earns per h
natulia [17]

Answer:

Hamish and Harry work as plumbers. Harry earns a dollar an hour more than 5/4 the amount hamish earns per hour. harry earns per hour is 2$ less than 7/5 the amount hamish earns per hour. how much do each of them make an hour

Step-by-step explanation:

Let

x is the  amount Harry earns 

y is the amount Hamish earns 

x=(5/4)y+1 ⇒ (x-1)*4/5 = y-------- equation 1

x=(7/5)y-2⇒ (x+2)*5/7 = y-------- equation 2

equals 1 and 2

(x-1)*4/5 = (x+2)*5/7

(4x-4)/5 = (5x+10)/7

(4x-4)*7 = (5x+10)*5

28x-28 = 25x+50

28x-25x = 50+28

3x = 78

x = 26

substitute x = 26 for y=(x-1)*4/5

y = (x-1)*4/5

y =  (26-1)*4/5

y = 20

the answer is

<h3>Harry earns $26 an hour</h3><h3>Hamish earns  $20 an hour</h3>
7 0
3 years ago
Read 2 more answers
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