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elixir [45]
3 years ago
10

A set of equations is shown above. Which method eliminates one of the variables? A) Multiply equation A by -1/3 and add the resu

lt to equation B. B) Multiply equation B by 3 and add the result to equation A. C) Multply equation A by 2 and equation B by -6 and add the results together. D) Multiply equation B by 5 and equation A by 4 and add the results together.

Mathematics
1 answer:
Paraphin [41]3 years ago
8 0

Answer:


Step-by-step explanation:

Multiplying Equation A by (1/3) and adding the result to Equation B will do the trick.  Let's actually solve the problem!

Equation A:  (5/3)x + 3y = 12

Equation B:    4x     -  3y = 8

                    ---------------------------

                     (5/3 + 12/3)x = 15        Note how this has eliminated the variable

                            (17/3)x = 15           y.

                                   x = (3/17)(15)

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Which dimensions can create more than one triangle? A. Three angles measuring 75 degrees, 45 degrees, and 60 degrees. B. Three s
AnnyKZ [126]

The answer is C

Because the sum of the angles are not up to 180

which makes way for other angles.

6 0
3 years ago
What is the future amount of 12,000 invested for 5 years at 14% compounded monthly?
Triss [41]

The total amount accrued, principal plus interest, with compound interest on a principal of $12,000.00 at a rate of 14% per year compounded 12 times per year over 5 years is $24,067.32.The amount of the initial loan, or principal, is multiplied by one plus the annual interest rate raised to the number of compound periods minus one to determine compound interest.

<h3 /><h3>what is compound interest?</h3>

To begin, change R from a percentage to a decimal, using the formula:

r = R/100 r = 14/100

r = 0.14 rate per year;

Next, find A by solving

A = P(1 + r/n)nt A = 12,000.00(1 + 0.14/12)(12). (5)

A = 12,000.00(1 + 0.011666666666667)(60) (60)

A = $24,067.32

Summary: The total amount accrued, principal plus interest, with compound interest on a principal of $12,000.00 at a rate of 14% per year compounded 12 times per year over 5 years is $24,067.32.

The amount of the initial loan, or principal, is multiplied by one plus the annual interest rate raised to the number of compound periods minus one to determine compound interest. You will then be left with the loan balance plus compound interest.

To learn more about interest refer to:

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8 0
1 year ago
HELP ME PLEASEEEEEEEE ASAPPPP !!
OLEGan [10]

Answer:

C and D

Step-by-step explanation:

Mathematically, a unit circle is one in which the value of the radius is 1 unit

Generally, for a unit circle we have it that;

r^2 = x^2 + y^2

where (x,y) represents the coordinates of a point on the unit circle

But from above, r = 1

Thus:

x^2 + y^2 = 1

Looking at option C, by squaring each coordinate, we have

(6/7)^2 = 36/49 and the second as 13/49

by adding both, we have

36/49 + 13/49 = 49/49 = 1

Thus, we have this as a coordinate on the unit circle

For the last option;

(5/13)^2 = 25/169 and (12/13)^2 = 144/169

Adding both, we have;

25/169 + 144/169 = 169/169 = 1

So this is also a point on the unit circle

5 0
3 years ago
Gabrielle is 12 years younger than Mikhail. The sum of their ages is 76 . What is Mikhail's age?
Over [174]

Answer:

48 years old

Step-by-step explanation:

Let x = Mikhail's age

then x-15 = Gabrielle's age

x + x-15 = 81

2x-15 = 81

2x = 96

x = 48 years old

6 0
3 years ago
Read 2 more answers
Help with question 2
ANTONII [103]
The area can be found by multiplying the two together. 11x12=132. 

The area is 132.
5 0
3 years ago
Read 2 more answers
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