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sweet-ann [11.9K]
4 years ago
10

What is the value of a in the equation 3a + b = 54, when b = 9?

Mathematics
2 answers:
damaskus [11]4 years ago
7 0
3a+b=54\\\\ Substitute\ b\ =\ 9\ into\ the\ equation.\\\\3a+(9)=54\\\\Subtract\ 9\ on\ both\ sides.\\\\3a=45\\\\Divide\ by\ 3\ on\ both\ sides.\\\\{\boxed{a=15}
makvit [3.9K]4 years ago
3 0
If you would like to solve the equation 3 * a + b = 54, when b = 9, you can calculate this using the following steps:

b = 9
3 * a + b = 54
3 * a + 9 = 54
3 * a = 54 - 9
3 * a = 45     /3
a = 45/3
a = 15

The correct result would be 15.
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6.88 + (-8.1) Estimate by rounding to the nearest integer.
Papessa [141]
1.22 so like round it to like 1.2. 
4 0
3 years ago
How much interest will you have to pay for a credit card balance of $1,034 that is 1 month overdue, if a 17% annual rate is char
frosja888 [35]

Ans. Since the annual rate is not compunded (for example, compounded monthly) you will have to pay in interest $27.41, and the total payment is $1,061.41

Step-by-step explanation:

Hi, since the balance is 1 month overdue, it means that you owe 2 months of interest to this obligation, but before we start finding the interest of your credit card, first let´s find the effective monthly equivalent rate for that 17% annual interest rate.

The formula is as follows.

Therefore

So your monthly interest rate is 1.317%. Now let´s find the amount of interests that you have to pay for 2 months. This is the formula.

Where "n" is the period of time in months that you owe to the financial institution. The result of that is:

This way, interest are = $27.41 and the total amount that you will have to pay is:

<h2>Payment=Present Value+Interest=1,034+27.41=1,061.41 </h2>

8 0
3 years ago
An airplane is 275 miles from the airport to get to it present position the plane flew 125 miles due south from the airport and
Ulleksa [173]

Answer:

(C) 245 miles

Step-by-step explanation:

We can view the starting and ending flight points as the hypotenuse of a right-angle triangle. Since the plane flew 125 miles south, the height of the triangle is 125 and we are given the hypotenuse as 275

If we designate the height as a and the hypotenuse as h, and the base as b then
h² = a² + b²  by the Pythagorean  theorem

or

b² = h² - a² ==> (h + a)(h - a)   {x² - y² = (x + y) (x -y)}

Substituting known values
b² = 275² - 125² = (275 + 125)(275-125) = 400 x 150 = 60,000

b =  √60000 = 244.94 and the closest answer is C: 245 miles

4 0
2 years ago
PLEASE HELP, ITS URGENT I WILL GIVE BRAINLY...
Liono4ka [1.6K]

Answer:

Cost of the box of pencils = x = $4

Cost of the notebook = x+2 = 4+2 = $6

Cost of package of pens = 3x = 3(4) = $12

Step-by-step explanation:

Let the cost of the box of pencils = x

Cost of the notebook = 2 more than the pencils cost = x+2

Cost of package of pens = 3 times the pencils cost = 3x

The total was $22, so we can say:

(x)+(x+2)+(3x) = 22

5x=22-2

x=20/5

x=$4

Cost of the box of pencils = x = $4

Cost of the notebook = x+2 = 4+2 = $6

Cost of package of pens = 3x = 3(4) = $12

6 0
3 years ago
Find the product of 42.43​
ser-zykov [4K]

Answer: The product of 42 times 43 is 1,806

Step-by-step explanation:

42 and 43 are both factors, and factor x factor = product

42(factor) x 43(factor) = 1,806(product)

To check work, divide the product by one of the factors, and the result should be the other factor.

1,806(product) divided by 42(factor#1) = 43(factor#2)

-or-

1,806(product) divided by 43(factor#2) = 42(factor#1)

8 0
3 years ago
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