All categories

3 years ago

Without graphing or solving either system of equations explain how you know what the solution to the system is.

Mathematics

1 answer:

Sonbull [250]3 years ago

3 0

x = 5

y = -1

Step-by-step explanation:

from second equation,

y = -2 + 1
y = -1

by putting the value of y in first equation

y = -x + 4
-1 = -x + 4
-x = -1 -4
-x = -5
x = 5

x = 5 and y = -1

You might be interested in

In a certain game, each player scores either 2 points or 5 points. If n players score 2 points and m players score 5 points, and

zhannawk [14.2K]

Answer:

b. 3

Step-by-step explanation:

Here, n players score 2 points and m players score 5 points,

So, total scores = 2n + 5m,

According to the question,

The total number of points is 50,

⇒ 2n + 5m = 50

Since, n and m can be any positive integers including 0 ( because number of players can not be negative or in fraction )

Also, for the positive integer value of m, n must be the multiple of 5 less than or equal to 25,

Thus, the possible values of m and n are,

(5,8), (10, 6), (15, 4), (25,0),

Since, 8-5 < 10-6 < 15-4 < 25-0

Hence, the least possible positive difference between n and m is 3.

Option 'b' is correct.

5 0

3 years ago

A fish tank contains eight algae-eaters, five catfish, and six tilapia fish. A storekeeper randomly selects two fish (one after

Montano1993 [528]

Answer:

P = 10/171

P = 0.058

The probability that both fish selected are Catfish is 0.0058

Step-by-step explanation:

Given:

The tank contains;

Algae eaters = 8

Catfish = 5

Tilapia fish = 6

Total number of fish = 8+5+6= 19

To determine the probability that both fish selected are Catfish P;

P = 5/19 × 4/18

( The number of the total number of fishes, and Catfish reduce by one after each selection because it is selected without replacement)

P = 10/171

P = 0.058

8 0

4 years ago

Jenny uses a roller to paint a wall. The roller has a radius of 1.75 inches and a height of 10 inches. In two rolls, what is the

Katen [24]

Answer:

The area of the wall that she will paint in two rolls is <u>219.8 inches²</u>.

Step-by-step explanation:

Given:

Jenny uses a roller to paint a wall. The roller has a radius of 1.75 inches and a height of 10 inches.

Now, to find the area of the wall that she will paint in two rolls.

So, we find the lateral surface area of roller.

Radius (r) = 1.75 inches.

Height (h) = 10 inches.

So, to get the lateral surface area we put formula:

$A_{L} =2\pi rh$

$A_L=2\times 3.14\times 1.75\times 10$

$A_L=109.9\ inches^2.$

Thus, the lateral surface area of the roller = 109.9 inches².

Now, to get the area of wall that she will paint in two rolls we multiply 2 by the lateral surface area of the roller:

$109.9\times 2\\\\=219.8\ inches^2.$

Therefore, the area of the wall that she will paint in two rolls is 219.8 inches².

3 0

3 years ago

Read 2 more answers

What value of w is a solution to this equation?<br> w/2 = 6<br> w = 10 or w = 12

Monica [59]

W=12 would be the correct answer. I got this because if you divided 12 by 2, (12/2) you would get 6!

5 0

3 years ago

Read 2 more answers

I need help with this question -3/8 + 1/6

AlladinOne [14]

Answer:

5/24

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers