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2 years ago

What is the solution to the system of equations below?

Mathematics

2 answers:

Kipish [7]2 years ago

7 0

Answer:

(18,0)

Step-by-step explanation:

Karolina [17]2 years ago

3 0

Answer:

The solution is the point (18,0)

Step-by-step explanation:

we have

$y=-\frac{1}{3}x+6$ -----> equation A

$y=\frac{1}{3}x-6$ -----> equation B

Solve the system by substitution

substitute equation B in equation A

$\frac{1}{3}x-6=-\frac{1}{3}x+6$

solve for x

Adds (1/3)x both sides

$\frac{1}{3}x-6+\frac{1}{3}x=6$

$\frac{2}{3}x-6=6$

Adds 6 both sides

$\frac{2}{3}x=6+6$

$\frac{2}{3}x=12$

$x=12(3)/2\\x=18$

Find the value of y

substitute the value of x in equation A or equation B

$y=-\frac{1}{3}(18)+6=0$

therefore

The solution is the point (18,0)

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The following data points represent the volume

svetoff [14.1K]

Answer:

The missing volume of gas is 6 liters

Step-by-step explanation:

The following data points represent the volume of gas in each race car driver's tank (in liters):

4,5, 13, ?

Let the missing value be x

Data : 4,5,13,x

$Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}$

$7 = \frac{4+5+13+x}{4}$

$7 \times 4=4+5+13+x$

28=22+x

28-22=x

6=x

Hence The missing volume of gas is 6 liters

3 0

3 years ago

Read 2 more answers

Roman buys seed packets for the school garden. One packet of radish seeds costs $1.75. One packet of tomato seeds costs $2.50. L

HACTEHA [7]

Answer:

C. $t=23,r=9$ .

Step-by-step explanation:

Let r represent the cost of one packet of radish seeds and let t represent the cost of one packet of tomato seeds.

Roman spent $62.75

This implies that,

$1.75r+2.5t=62.75...eqn1$

Roman bought 32 packets of seeds and one packet of radish seeds costs
$ 1.75.
One packet of tomato seeds costs $ 2.50.

This implies that,

$r+t=32...eqn2$

Using guess and check means we substitute into the given equation.

A) We substitute $t=8,r=24$ into both equations.

$1.75(8)+2.5(24)=62.75...eqn1$

$14+60\ne 62.75...eqn1$

$8+24=32...eqn2$

Both equations are not satisfied.

B)

We substitute $t=9,r=23$ into both equations.

$1.75(9)+2.5(23)=62.75...eqn1$

$15.75+57.5\ne 62.75...eqn1$

$9+23=32...eqn2$

Both equations are not satisfied.

C)

We substitute $t=23,r=9$ into both equations.

$1.75(23)+2.5(9)=62.75...eqn1$

$40.25+22.5 =62.75...eqn1$

$23+9=32...eqn2$

Both equations are satisfied.

Hence the solution is,

$t=23,r=9$

D) We substitute $t=24,r=8$ into both equations.

$1.75(24)+2.5(8)=62.75...eqn1$

$42+20\ne 62.75...eqn1$

$24+8=32...eqn2$

Both equations are not satisfied.

4 0

3 years ago

Read 2 more answers

20 business cards are placed in a hat, 10 belong to women, 10 belong yo men If 2 cards are drawn at once. what's the probability

erik [133]

Answer:

First choice:

$\large\boxed{\large\boxed{5/19}}$

Explanation:

The probability that the first is a man's card and the second, a woman's card is calculated as the product of both probabilities, taking into account the fact that the second time the number of cards in the hat has changed.

In spite of it is said that the cards are drawn at once, since it is stated a specific order for the cards (first is a man's card and the second, a woman's card) you can model the procedure as if the cards were drawn consecutively, instead of at once.

1. Probability that the first is a man's card

Number of cards in the hat = 20 (the 20 business card)

Number of man's card in the hat: 10

Probability = favorable oucomes / possible outcomes = 10/20 = 1/2.

2. Probability that the second is a woman's card

Number of cards in the hat = 19 (there is one less card in the hat)

Number of wonan's card in the hat: 10

Probability = favorable oucomes / possible outcomes = 10/19.

3. Probability that the first is a man's card and the second, a woman's card

(1/2) × (10/19) = 5/19

That is the first choice.

5 0

2 years ago

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If anyone can help me with these problems I will marry u seriously plz

belka [17]

27: C 28: B 29. A

And I kindly decline the marriage offer lol. If you need an explanation of how I did this then I will gladly do so they are pretty simple.

8 0

3 years ago

At a camp, kids can choose swimming, art, or music. 40 kids choose swimming, 16 choose art, and 24 choose music. What is the rat

Anna [14]

the ratio would be as follows

40:16

5:2

Worded there are five kids who choose to swim to every 2 kids that choose art.

this could also be written as a fraction 40/16 = 5/2

7 0

3 years ago

Read 2 more answers