(4,0) (3,-1) (6,3) (2,-4) which are solutions to y=x-4 select all that apply

What is 2/3 of 9000?

nikklg [1K]

Step-by-step explanation:

6000

your answer is 6000

4 0

3 years ago

Read 2 more answers

X+y+z=2 X-y-z=2 x-y+z=-6

likoan [24]

<h2>The first one:</h2>

solve for x.

Step 1: Add -y to both sides.

x+y+z+−y=2+−y

x+z=−y+2

Step 2: Add -z to both sides.

x+z+−z=−y+2+−z

x=−y−z+2

solve for y.

Step 1: Add -x to both sides.

x+y+z+−x=2+−x

y+z=−x+2

Step 2: Add -z to both sides.

y+z+−z=−x+2+−z

y=−x−z+2

solve for z.

Step 1: Add -x to both sides.

x+y+z+−x=2+−x

y+z=−x+2

Step 2: Add -y to both sides.

y+z+−y=−x+2+−y

z=−x−y+2

<h2>The second one:</h2>

solve for x.

Step 1: Add y to both sides.

x−y−z+y=2+y

x−z=y+2

Step 2: Add z to both sides.

x−z+z=y+2+z

x=y+z+2

solve for y.

Step 1: Add -x to both sides.

x−y−z+−x=2+−x

−y−z=−x+2

Step 2: Add z to both sides.

−y−z+z=−x+2+z

−y=−x+z+2

Step 3: Divide both sides by -1.

−y /−1 = −x+z+2 /−1

y=x−z−2

solve for z.

Step 1: Add -x to both sides.

x−y−z+−x=2+−x

−y−z=−x+2

Step 2: Add y to both sides.

−y−z+y=−x+2+y

−z=−x+y+2

Step 3: Divide both sides by -1.

−z /−1 = −x+y+2 /−1

z=x−y−2

<h2>The third one:</h2>

solve for x.

Step 1: Add y to both sides.

x−y+z+y=−6+y

x+z=y−6

Step 2: Add -z to both sides.

x+z+−z=y−6+−z

x=y−z−6

solve for y.

Step 1: Add -x to both sides.

x−y+z+−x=−6+−x

−y+z=−x−6

Step 2: Add -z to both sides.

−y+z+−z=−x−6+−z

−y=−x−z−6

Step 3: Divide both sides by -1.

−y /−1 = −x−z−6 /−1

y=x+z+6

solve for z.

Step 1: Add -x to both sides.

x−y+z+−x=−6+−x

−y+z=−x−6

Step 2: Add y to both sides.

−y+z+y=−x−6+y

z=−x+y−6

I hope this was helpful <3

3 0

3 years ago

80 people were asked which was their favourite animal.

Alex787 [66]

Answer:

(a)Cat

(b)8 animals

(c)6 people

Step-by-step explanation:

From the attached diagram:

Let the $\square$ be x.

Half of $\square$ =x/2

From the pictogram, we then have:

$Cat = x+\frac{x}{4} \\Dog=x+\frac{3x}{4}\\Giraffe=2x+\frac{x}{2}\\Monkey =x+\frac{x}{2}\\Dolphin=3x$

Therefore:

$x+\frac{x}{4} +x+\frac{3x}{4}+2x+\frac{x}{2}+x+\frac{x}{2}+3x=80\\8x+\frac{x}{4}+\frac{3x}{4}+\frac{x}{2}+\frac{x}{2}=80\\10x=80\\x=8$

So we have the following numbers

$Cat = x+\frac{x}{4} =8+\frac{8}{4}=10\\Dog=x+\frac{3x}{4}=8+\frac{3*8}{4}=14\\Giraffe=2x+\frac{x}{2}=2*8+\frac{8}{2}=20\\Monkey =x+\frac{x}{2}=8+\frac{8}{2}=12\\Dolphin=3x=3*8=24$

(a)Cat was the least popular

(b) $\square$ represents 8 animals

(c)

Number of People who preferred giraffe=20

Number of People who preferred dogs=14

Difference=20-14=6

Therefore, 6 more people preferred giraffes than dogs.

7 0

4 years ago

At the fast food restaurant, four cheeseburgers and five small fries have a total of 2,310 calories. Three cheeseburgers and two

Svetlanka [38]

Answer: 290 calories in a cheeseburger and 230 calories in fries.

x = calories in a cheeseburger

y = calories in an order of small fries

Four cheeseburgers and five small fries have 2,310 calories. Therefore

4x + 5y = 2310 (1)

Three cheeseburgers and two small fries have 1,330 calories. Therefore

3x + 2y = 1330 (2)

Equations (1) and (2) model the given situation.

To solve, multiply (1) by 2, and multiply (2) by 5 to obtain

 8x + 10y = 4620 (3)

15x + 10y = 6650 (4)

Subtract (3) from (4).

7x = 2030

x = 290

From (1), obtain

5y = 2310 - 4*290 = 1150

y = 230

 x = 290, y = 23

Hope this helps!

:)

5 0

3 years ago

Victoria set a goal for the number of boxes of Girl Scout Cookies she wants to sell. So far, she has sold 33 boxes. If this is n

WITCHER [35]

Her goal is 60 boxes. this is all the work i did basically i set it up as an equation of looking for x and that’s my work so i hope it helps :)

5 0

3 years ago