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2 years ago

Which of the values for x and y make the equation 2x + 3y + 4 = 15 true?

2 answers:

8 0

Try each answer into the equation in place of x and y

2x +3y +4 = 15

A) x = 6, y = 3

2x + 3y +4 = 15
2(6) +3(3) +4 =___ (should equal 15 to be the answer)
12 + 9 + 4 = 25
The equation equals 25, not 15, so A is not the answer.

B) x = 3, y = 5

2x +3y +4 = 15
2(3) +3(5) +4 = ___ (Should equal 15 to be the answer)
6 +15 +4 = 25
The equation equals 25, not 15, so B is not the answer

C) x = 6, y = 4
2x +3y +4 = 15
2(6) +3(4) +4 =___ (should equal 15 to be the answer)
12 + 12 +4 = 28
The equation equals 28, not 15, so C is not the answer

D) x = 1, y = 3

2x +3y +4 =15
2(1) +3(3) +4 = ___ (should equal 15 to be the answer)
2 +9 +4 = 15
The equation equals 15 so this would be the answer

D (or the last option) x = 1, y = 3 is the answer to your question

Hope this helps! :)

lutik1710 [3]2 years ago

8 0

Answer: The correct answer choice is D.

Step-by-step explanation: I will show all the work done for each answer choice so it is more clear.

First Answer Choice's Work:

2(6) + 3(3) + 4

12 + 9 + 4

12 + 9

21 + 4

25.

Second Answer Choice's Work:

2(3) + 3(5) + 4

6 + 15 + 4

21 + 4

25.

Third Answer Choice's Work:

2(6) + 3(4) + 4

12 + 12 + 4

24 + 4

28.

Fourth Answer Choice's Work:

2(1) + 3(3) + 4

2 + 9 + 4

11 + 4

15.

Therefore, the correct answer choice is D.

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What is <br><br> (n+8) + (n−12)

harina [27]

Answer:

2n - 4.

Step-by-step explanation:

(n+8) + (n−12)

= n + 8 + n - 12

= n + n + 8 - 12

= 2n - 4.

4 0

2 years ago

Read 2 more answers

What is the least common multiple? (6 and 12)

quester [9]

Answer:Least common multiple ( LCM ) of 6 and 12 is 12. LCM(6,12) = 12. Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Step-by-step explanation:

6 0

2 years ago

6 children and 2 adults are going to the circus, children tickets are on sale, half the price of adult tickets totaling $54. How

inna [77]

Answer:

Price of 1 child ticket is $5.4

Price of 1 adult ticket is $10.8

Step-by-step explanation:

Given:-

6 children and 2 adults are going for circus.

Children ticket is half the price of adult ticket.

Total ticketing cost =$54

To find:-

Cost of 1 child ticket=?

Cost of 1 Adult ticket=?

Solution:-

Let price of 1 child ticket be x and price of 1 adult ticket be y,

therefore from the given data we get 2 equations,

$6x+2y=54$ -----------------------------------(1)

$x=\frac{1}{2} y$ --------------------------------(2)

Now, substituting the value of x from equation 2 in equation 1,

$6x+2y=54$

$6(\frac{1}{2} y)+2y=54$

$\frac{6}{2}y+2y=54$

$3y+2y=54$

$5y=54$

$\therefore y=\frac{54}{5}$

$\therefore y =10.8$ ------------------------(3)

Now, substituting the value of y from equation 3 in equation 2,

$x=\frac{1}{2} y$

$\therefore x=\frac{1}{2} \times 10.8$ ------------(from equation 3)

$\therefore x=\frac{10.8}{2}$

$\therefore x=5.4$ ----------------------(4)

As, x is price of 1 child ticket and y is price of 1 adult ticket,

Therefore price of 1 child ticket is $5.4 and price of 1 adult ticket is $10.8

7 0

3 years ago

Write a quadratic function, in standard form, that fits the set of points. Solve it as a system of three equations. (-4, 9), (0,

Tresset [83]

Answer:

$\boxed{y=2x^2+4x-7}$

Step-by-step explanation:

Let the quadratic function be

$y=ax^2+bx+c$

We substitute $(-4,9)$ into the equation to obtain;

$9=a(-4)^2+b(-4)+c$

$\Rightarrow 9=16a-4b+c---(1)$

We substitute $(0,-7)$ to obtain;

$-7=a(0)^2+b(0)^2+c$

$\Rightarrow c=-7---(2)$

We finally substitute $(1,-1)$ to obtain;

$-1=a(1)^2+b(1)^2+c$

$\Rightarrow -1=a+b+c---(3)$

We put equation (2) into equation (1) to get;

$9=16a-4b-7$

$16a-4b=16$

$\Rightarrow 4a-b=4---(4)$

$\Rightarrow -1=a+b-7$

$\Rightarrow a+b=6---(5)$

We add equation (4) and (5) to get;

$4a+a=6+4$

$\Rightarrow 5a=10$

$\Rightarrow a=2$

We put $a=2$ into equation (5) to get;

$2+b=6$

$\Rightarrow b=6-2$

$\Rightarrow b=4$

The reqiured quadratic function is

$y=2x^2+4x-7$

7 0

2 years ago

A washer and a dryer cost $664 combined. The washer costs $86 less than the dryer. What is the cost of the dryer?

andreyandreev [35.5K]

Answer:

The dryer is 375 dollars

Step-by-step explanation:

The equation would be

664=(D)+(D-86) or

664=(375)+(375-86)

4 0

2 years ago