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Kay [80]
2 years ago
13

What does 9a-2=12+2a​

Mathematics
1 answer:
Paraphin [41]2 years ago
4 0

Answer:

a=2

Step-by-step explanation:

Subtract 2a from both sides.

9a−2−2a=12

Combine 9a and −2a to get 7a.

7a−2=12

Add 2 to both sides.

7a=12+2

Add 12 and 2 to get 14.

7a=14

Divide both sides by 7.

a=\frac{14}{7}

Divide 14 by 7 to get 2.

a=2

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Mrs. wright made 92 cups of fruit punch for a party. how many gallons of punch did she make?
Genrish500 [490]

Answer:

5.75 - 5 3/4

Step-by-step explanation:

1 Cup = 0.0625 gallons

92 cups = 5.75 gallons

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1 year ago
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5 0
2 years ago
What is the average rate of change of the function
Reptile [31]

Answer:

Average rate of change =-35.7084

Step-by-step explanation:

Given function is f(x)=480(0.3)^x and we need to find average rate of change of the function from x=1\ to\ x=5.

Average rate of change =\frac{f(b)-f(a)}{b-a}

So,

here\ b=5\ and\ a=1\\f(5)=480(0.3)^5\\=480\times0.00243=1.1664\\and\\f(1)=480(0.3)^1\\=480\times0.3=144

Average rate of change

=\frac{f(b)-f(a)}{b-a}\\\\=\frac{f(5)-f(1)}{5-1}\\\\=\frac{1.1664-144}{5-1}\\\\=\frac{-142.8336}{4}= -35.7084

Hence, average rate of change of the function f(x)=480(0.3)^x over the intervel x=1\ to\ x=5 is =-35.7084.  

5 0
3 years ago
A) Write the exponential equation to represent a house purchased for
dsp73

Answer:

= A(t) = 120000(1.06)^t   t = 1 year

We just add ^12 to equal 1/12 months.

Then use the notation below.

Step-by-step explanation:

We simply want to write an equivalent form of the same equation that will allow for the time period to be calculated in years.

For one year, t = 1, we want it to grow 6% = 1.06

Yearly Rate of Growth annual equation: = 7200

P(i) 7200/ 120000 x 100% = 6% per year growth rate

the yearly growth factor is 1 + appreciation rate = 1+i =1+0.06= 1.06

So time in years can be added to t

= A(t) = 120000(1.06)^t   t = 1 year

The yearly growth factor = 1.06

To equate monthly we add the exponent  t*12*1/12 before  120000(1.06)^t

then add 1/12 to replace ^t = monthly, or just keep the t= time

A(t) = 120000(1.06)^12t

4 0
2 years ago
If a square has an area of 36 units what is its side length
Savatey [412]

Answer:

9

Step-by-step explanation:

36/4=9

5 0
2 years ago
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