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Nostrana [21]
3 years ago
5

When 4a-9b=22 and b= -2, what is the value of a? A.-10/3 B.-14/9 C.1 D.4 E.10

Mathematics
2 answers:
ycow [4]3 years ago
7 0

4a-9b=22

substitute b=-2

4a -9(-2) = 22

4a +18 =22

subtract 18 from each side

4a = 4

divide by 4

a =1

Choice C

IRISSAK [1]3 years ago
5 0

Answer:

a=1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4a+18=22

Step 2: Subtract 18 from both sides.

4a+18−18=22−18

4a=4

Step 3: Divide both sides by 4.

4a /4 = 4 /4

a=1

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Suppose that $5500 is placed in an account that pays 2% interest compounded each year.
pogonyaev

Answer: After 1 year:    $5,610

After 2 years: $5,722.20

Step-by-step explanation: Use the formula for periodic compounding interest, which is

A = P(1 + r/n)^(nt), where A is the final amount, P is the initial deposit, r is the interest rate as a decimal, n is the number of times the interest is compounded per year, and t is how many years.

Here, P = 5,500, r = 0.02  (that's 2% as a decimal), n = 1,

t = 1 for the first answer, t = 2 for the second answer (1 year, then for 2 years)

Plug the known values in to solve...

For 1 year...

A = 5,500(1 + 0.02/1)^(1*1)

  A = 5,500(1.02)^1

     A = 5,610

For 2 years...

A = 5,500(1 + 0.02/1)^(1*2)

  A = 5,500(1.02)²

     A = 5,722.20

3 0
2 years ago
An airplane flies with a constant speed of 620 miles per hour. How long will it take to
LekaFEV [45]

Answer:

30 minutes

Step-by-step explanation:

Alright lets start by laying out what the problem gives us :

A plane flies 620 mph.

It is asking how long it will take to travel 310 miles.

We need to give our answer in minutes or hours.

So lets take mph and look at the full meaning "Miles per hour"

An hour has 60 minutes in it.

So really it is saying miles per 60 minutes as well as miles per hour

So you could say the plane is traveling 620 miles every 60 minutes.

So now lets look at the number 310.

Just looking at it I can tell you that 310 looks very close to half of 620, in fact it is exactly half!

So lets divide the 620 mph by the 310 miles it is asking and we get 2! Proving that 310 is half of 620.

Alright now lets divide both the number of miles and number of minutes :

620 miles per 60 minutes

divided by 2 both miles and minutes

310 miles per 30 minutes

So this is your answer. After this you get that it would take 30 minutes to travel 310 miles in a plane going 620 miles per hour!

I hope this helps and I could help you understand it. :)

If you have any questions feel free to comment or dm me.

7 0
2 years ago
2x+3y=6<br> 3x-y=2<br> How many solutions does this have, one, none or infinite
sergey [27]
Y=-2/3x + 2
y=3x-2

one because the slopes are different

6 0
3 years ago
Read 2 more answers
Cole bought a cutting board online. It cost $23 plus 10% shipping and handling. What was the total cost?
Rashid [163]
Cole would pay $25.30 
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2.3+23=25.3
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3 0
3 years ago
The intersection of plane A and plane S will be
Darya [45]

Answer: the intersection of plane A and plane S will be: line CW

the intersection of lines N and K is: point V

point X is the intersection of: line M and plane A

Step-by-step explanation:

3 0
3 years ago
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