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lana66690 [7]
3 years ago
9

What is the solution to the equation 5a^2 - 44 = 81

Mathematics
2 answers:
AveGali [126]3 years ago
7 0

Answer:

Step-by-step explanation:

5a^2 - 44 = 81

5a^2   = 81  + 44   {add 44 both the sides}

5a^2  = 125

a^2 = 125/5    {divide both sides by 5}

a^2 = 25

a^2 = 5*5

a =  ±5

pickupchik [31]3 years ago
7 0

Answer:

Option c) is correct

ie, a=plus minus 5 or a=\pm 5

Step-by-step explanation:

Given equation is 5a^2-44=81

To find the solution of the given equation we have to solve the equation

5a^2-44=81

5a^2=81+44

Now applying the algebraic sum to the terms on the right hand side of the equation

5a^2=125

a^2=\frac{125}{5}

Now applying the division rule

a^2=25

Therefore a=\pm 5

Therefore option c) is correct

ie, a=\pm 5.

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Carl is having a party. He has bought 24 brownies and is making 6 more batches of brownies. The inequality below can be used to
Alexandra [31]

Answer:

b = 20

Step-by-step explanation:

The computation is shown below

Given that

24+ 6b > 138

where

b = 10

b = 15

b = 20

So if we take b = 10

= 24 + 6(10)

= 24 + 60

= 84

B = 15

= 24 + 6(15)

= 24 + 90

= 114

B = 20

= 24 + 6 (20)

= 24 + 120

= 144

So if we take b = 20 the inequality would be true

5 0
3 years ago
The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $420 to drive 500 mi
djyliett [7]

Answer:

C(d) = \frac{1}{5}d + 320

Step-by-step explanation:

Given

d \to miles

C \to cost

So:

(d_1,C_1) = (500,420) --- May

(d_2,C_2) = (620,444) --- June

Required

Express as a function

Start by calculating the slope (m)

m = \frac{\triangle C}{\triangle d}

m = \frac{444-420}{620-500}

m = \frac{24}{120}

Simplify

m = \frac{1}{5}

The equation is:

C(d) = m(d - d_1) +C_1

C(d) = \frac{1}{5}(d - 500) +420

C(d) = \frac{1}{5}d - 100 +420

Take LCM

C(d) = \frac{1}{5}d + 320

6 0
3 years ago
A
motikmotik

Answer:

50

Step-by-step explanation:

180-(x+80) + 180-(2x+20) = 180 -70

180-x-80 + 180-2x-20 = 110

100-x + 160-2x = 110

260 - 3x = 110

-3x = -150

x = <u>50</u>

3 0
3 years ago
Need help quiiickkkk
OLEGan [10]

Answer:

100 beats per minute

Step-by-step explanation:

If it takes 28.8 secs for the piano to play 48 beats, then it would take 60 secs (1 minute) to play x number of beats.

To find the value of x, which is the number of beats the piano makes per minute, let's set the proportion as shown below:

28.8 secs = 48 beats

60 secs = x beats

Cross multiply

28.8*x = 60*48

28.8x = 2,880

Divide both sides by 28.8

x = 2,880/28.8

x = 100

✅Thus, if the Piano plays 48 beats in 28.8 secs, therefore, the tempo of the piano in beats per minute would be 100 BPM

7 0
3 years ago
Help Me With This Question Please!
Georgia [21]

Answer:

60°

Step-by-step explanation:

x + 160° + 140° = 360°

x + 300° = 360°

x = 360° - 300°

x = 60°

8 0
3 years ago
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