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3 years ago

Line M is represented by the following equation: x − y = 8

2 answers:

6 0

Let's plug in (18,10) into each answer choice until we find the one that has it as a solution.

A) 2x - y = 26
2(18) - 10 = 26
36 - 10 = 26
26 = 26

Your answer is A.

I'll just do the rest to show that you the they are incorrect.

B) x + y = 18
18 + 10 = 18
28 ≠ 18

C) 2x - 2y = 36
2(18) - 2(10) = 36
36 - 20 = 36
16 ≠ 36

D) x - y = -28
18 - 10 = -28
8 ≠ -28

Your answer is A) 2x - y = 26.

True [87]3 years ago

6 0

Answer:

A) 2x - y = 26

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rodney bought a 25pound bag of dog food his dog eat 10and2/5poundsof foodinthe firstmounthand104/5poundsof the foodin the second

MakcuM [25]

Answer:

3⅘ lb

Step-by-step explanation:

(a) Amount eaten

Eaten = 10⅖ + 10⅘

Think of pounds as pies. Each pie has 5 slices.

10⅖ pies = 10 pies + 2 slices = 50 slices + 2 slices = 52 slices

10⅘ pies = 10 pies + 2 slices = 50 slices + 4 slices = 54 slices

Eaten = 52 slices + 54 slices = 106 slices

(b) Amount remaining

Remaining = Original – Eaten

Original = 25 pies = 125 slices

Eaten = 106 slices

Remaining = 125 slices -106 slices

Remaining = 19 slices Convert slices to pies

Remaining = 15 slices + 4 slices

Remaining = 3 pies + 4 slices Convert to mixed fraction

Remaining = 3⅘ pies Convert pies to pounds

Remaining dog food = 3⅘ lb

8 0

3 years ago

Read 2 more answers

An athletic field is a 60 yd60 yd-by-120 yd120 yd rectangle, with a semicircle at each of the short sides. A running track 101

gregori [183]

Distance of each track are:

D₁ = 428.5 yd

D₂ = 436.35 yd

D₃ = 444.20 yd

D₄ = 452.05 yd

D₅ = 459.91 yd

D₆ = 467.76 yd

D₇ = 475.61 yd

D₈ = 483.47 yd

Explanation:

Given:

Track is divided into 8 lanes.

The length around each track is the two lengths of the rectangle plus the two lengths of the semi-circle with varying diameters.

Thus,

$D = 2(120) + 2. \frac{1}{2} \pi d\\\\D = 240 + \pi d$

Starting from the innermost edge with a diameter of 60yd.

Each lane is 10/8 = 1.25yd

So, the diameter increases by 2(1.25) = 2.5 yd each lane going outward.

So, the distances are:

D₁ = 240 + π (60) → 428.5yd

D₂ = 240 + π(60 + 2.5) → 436.35 yd

D₃ = 240 + π(60 + 5) → 444.20 yd

D₄ = 240 + π(60 + 7.5) → 452.05 yd

D₅ = 240 + π(60 + 10) → 459.91 yd

D₆ = 24 + π(60 + 12.5) → 467.76 yd

D₇ = 240 + π(60 + 15) → 475.61 yd

D₈ = 240 + π(60 + 17.5) → 483.47 yd

4 0

4 years ago

What transformation has changed the parent function f(x) = 3(2)x to its new appearance shown in the graph below?

yan [13]

if you mean -2 and 3. than the answer would be f(x +2)

4 0

3 years ago

Read 2 more answers

What is the correct answer???

lapo4ka [179]

Answer:

Step-by-step explanation:

The given equation passes through the origin:

$y-0 = \frac{1}{4} (x-0) + 4$

The segment passes through the point (-2,6)

So the equation will become $(y-6) = \frac{1}{4} (x+2) +4$

3 0

3 years ago

2). Write an equation and solve. You will not be given credit for your answer if you do not include your equation! This month's

Helga [31]

Answer:

Equation is: x+15.27 = 72.50
Solution to that equation: x = 57.23
Interpretation: Last month's phone bill was $57.23

========================================================

Explanation:

We'll make x the value of last month's phone bill. So if lets say x = 50, this means that last month's phone bill was $50. We don't know yet if x = 50 is the actual solution or not.

We're told that "This month's cell phone bill was for $15.27 more than last month's cell phone bill". This means this month's bill, in terms of x, is x+15.27 dollars. Whatever x is, we add 15.27 onto it getting this month's bill. This works because x is really a placeholder for a number.

Going back to x = 50, that would mean this months bill is x+15.27 = 50+15.27 = 65.27 dollars. We can see that we don't reach 72.50 that we're told the current months bill actually is. Since we don't have a match, this means x = 50 is too small. We can guess and check our way to hopefully land on the answer. However, using algebra is the most efficient method.

----------

The equation we need to solve is: x+15.27 = 72.50

This is because x+15.27 represents this month's bill and so does the 72.50, as your teacher gave in the instructions.

To solve this equation, we'll undo the "plus 15.27" to isolate x fully. The opposite of addition is subtraction. We'll subtract 15.27 from both sides

x+15.27 = 72.50

x+15.27-15.27 = 72.50-15.27

x = 57.23

Last month's phone bill was $57.23

As a check, adding 15.27 onto last month's bill should get us to 72.50

x+15.27 = 57.23+15.27 = 72.50

It works out, so we've confirmed the answer.

5 0

3 years ago