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Jlenok [28]
3 years ago
9

4x+3y=12

Mathematics
1 answer:
77julia77 [94]3 years ago
8 0

Answer:

B, C, F

Step-by-step explanation:

Given:

\left\{\begin{array}{l}4x+3y=12\\ \\2x+3y=-6\end{array}\right.

Subtract the second equation from the first equation:

(4x+3y)-(2x+3y)=12-(-6)\\ \\4x+3y-2x-3y=12+6\\ \\2x=18\\ \\x=9

Option B "The x coordinate of the solution is 9" is ture

Substitute it into the first equation:

4\cdot 9+3y=12\\ \\36+3y=12\\ \\3y=12-36\\ \\3y=-24\\ \\y=-8

Option F "The y coordinate of the solution is -8" is true.

Point (9,-8) is in the IV quadrant, so option C is true.

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In a completely randomized design involving three treatments, the following information is provided:Treatment 1Treatment 2Treatm
Aliun [14]

Answer:

7.25

Step-by-step explanation:

Given :

___________ Sample size __ sample mean

Treatment 1 ____ 5 _______ 4

Treatment 2 ____ 10 ______ 8

Treatment 3 ____ 5 _______ 9

Sample size = (5 + 10 + 5). = 20

Overall mean = ((5*4). + (10*8) + (5*9)) / 20

Overall mean = (20 + 80 + 45) / 20

= 145 / 20

= 7.25

6 0
3 years ago
Evaluate. Write your answer as an integer or as a decimal rounded to the nearest hundredth. tan 26° = ___
barxatty [35]

Answer:

0.49

Explanation:

Given the expression:

tan 26°

Evaluating using calculator

tan 26° = 0.4877

Hence the decimal rounded to the nearest hundredth is 0.49

4 0
1 year ago
Read 2 more answers
A chemical company makes two brands of antifreeze. The first brand is 20% pure antifreeze, and the second brand is 70% pure anti
andre [41]

Answer:

First brand of antifreeze: 21 gallons

Second brand of antifreeze: 9 gallons

Step-by-step explanation:

Let's call A the amount of  first brand of antifreeze. 20% pure antifreeze

Let's call B the amount of second brand of antifreeze. 70% pure antifreeze

The resulting mixture should have 35% pure antifreeze, and 30 gallons.

Then we know that the total amount of mixture will be:

A + B = 30

Then the total amount of pure antifreeze in the mixture will be:

0.2A + 0.7B = 0.35 * 30

0.2A + 0.7B = 10.5

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.7 and add it to the second equation:

-0.7A -0.7B = -0.7*30

-0.7A -0.7B = -21

-0.7A -0.7B = -21

               +

0.2A + 0.7B = 10.5

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

-0.5A = -10.5

A = \frac{-10.5}{-0.5}

A = 21\ gallons

We substitute the value of A into one of the two equations and solve for B.

21 + B = 30

B = 9\ gallons

3 0
3 years ago
Plzzz help its a math question
Step2247 [10]
Ur answer is -4......    
7 0
3 years ago
Read 2 more answers
EASY PLS HELP! 6= -2(7-c)
Vaselesa [24]
The answer is c = 10
3 0
3 years ago
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