1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jarptica [38.1K]
2 years ago
8

Can someone PLEASE help me solve this ive been stuck on it for half an hour

Mathematics
2 answers:
Lerok [7]2 years ago
8 0

Answer:

Each poodle requires 1 balloon(s) and each poodle requires 3 balloons.

Step-by-step explanation:

The equations that should be formed are:

3x + 3y = 12

3x + 2y = 9

In this scenario, x is the number of balloons required for a poodle, and y is the number of balloons required for a giraffe.

The question says that it should be solved using elimination.

This means that we have to completely reduce a variable to find the answer of the other remaining value. Since in both equations the coefficient of x is 3, they can cancel out when we subtract one from the other:

  3x + 3y = 12

-  3x + 2y = 9

-----------------------

            y = 3

This means that the number of balloons required for a giraffe is 3.

We can then put in this value of y, 3, into the equation to solve for x.

3x + 3 (3) = 12

3x + 9 = 12

3x = 12 - 9

3x = 3

 x = 1

This reduces into the number of balloons required for a poodle to be 1.

We can confirm by plugging it in into the other equation.

3x + 2 (3) = 9

3x + 6 = 9

3x = 9 - 6

3x = 3

x = 1

After confirming, this should be the answer.

Hopefully this helps!

padilas [110]2 years ago
3 0

baloon poodle requires 1 and giraffe requires 3 balloons.

i really hope this is the correct answer, sorry if I'm wrong.

if you want/need an explanation you can ask me and I'll explain how i did it

You might be interested in
Use numerals instead of words. If necessary, use / for the fraction bar(s). A parabola is given by the equation y = x2 + 4x + 4.
Anarel [89]
<span><span>Graph <span>x2<span> = 4</span>y</span><span> and state the vertex, focus, axis of symmetry, and directrix.</span></span><span>This is the same graphing that I've done in the past: </span><span>y = (1/4)x2</span><span>. So I'll do the graph as usual:</span></span><span> </span><span>The vertex is obviously at the origin, but I need to "show" this "algebraically" by rearranging the given equation into the conics form:<span>x2 = 4y</span> Copyright © Elizabeth Stapel 2010-2011 All Rights Reserved<span>
(x – 0)2 = 4(y – 0)</span><span>This rearrangement "shows" that the vertex is at </span><span>(h, k) = (0, 0)</span><span>. The axis of symmetry is the vertical line right through the vertex: </span><span>x = 0</span>. (I can always check my graph, if I'm not sure about this.) The focus is "p" units from the vertex. Since the focus is "inside" the parabola and since this is a "right side up" graph, the focus has to be above the vertex.<span>From the conics form of the equation, shown above, I look at what's multiplied on the unsquaredpart and see that </span><span>4p = 4</span><span>, so </span><span>p = 1</span><span>. Then the focus is one unit above the vertex, at </span>(0, 1)<span>, and the directrix is the horizontal line </span><span>y = –1</span>, one unit below the vertex.<span>vertex: </span>(0, 0)<span>; focus: </span>(0, 1)<span>; axis of symmetry: </span><span>x<span> = 0</span></span><span>; directrix: </span><span>y<span> = –1</span></span></span><span><span><span>Graph </span><span>y2<span> + 10</span>y<span> + </span>x<span> + 25 = 0</span></span>, and state the vertex, focus, axis of symmetry, and directrix.</span><span>Since the </span>y<span> is squared in this equation, rather than the </span>x<span>, then this is a "sideways" parabola. To graph, I'll do my T-chart backwards, picking </span>y<span>-values first and then finding the corresponding </span>x<span>-values for </span><span>x = –y2 – 10y – 25</span>:<span>To convert the equation into conics form and find the exact vertex, etc, I'll need to convert the equation to perfect-square form. In this case, the squared side is already a perfect square, so:</span><span>y2 + 10y + 25 = –x</span> <span>
(y + 5)2 = –1(x – 0)</span><span>This tells me that </span><span>4p = –1</span><span>, so </span><span>p = –1/4</span><span>. Since the parabola opens to the left, then the focus is </span>1/4<span> units to the left of the vertex. I can see from the equation above that the vertex is at </span><span>(h, k) = (0, –5)</span><span>, so then the focus must be at </span>(–1/4, –5)<span>. The parabola is sideways, so the axis of symmetry is, too. The directrix, being perpendicular to the axis of symmetry, is then vertical, and is </span>1/4<span> units to the right of the vertex. Putting this all together, I get:</span><span>vertex: </span>(0, –5)<span>; focus: </span>(–1/4, –5)<span>; axis of symmetry: </span><span>y<span> = –5</span></span><span>; directrix: </span><span>x<span> = 1/4</span></span></span><span><span>Find the vertex and focus of </span><span>y2<span> + 6</span>y<span> + 12</span>x<span> – 15 = 0</span></span></span><span><span>The </span>y<span> part is squared, so this is a sideways parabola. I'll get the </span>y stuff by itself on one side of the equation, and then complete the square to convert this to conics form.<span>y2 + 6y – 15 = –12x</span> <span><span>
y</span>2 + 6y + 9 – 15 = –12x + 9</span> <span>
(y + 3)2 – 15 = –12x + 9</span> <span>
(y + 3)2 = –12x + 9 + 15 = –12x + 24</span> <span>
(y + 3)2 = –12(x – 2)</span> <span>
(y – (–3))2 = 4(–3)(x – 2)</span></span><span><span>Then the vertex is at </span><span>(h, k) = (2, –3)</span><span> and the value of </span>p<span> is </span>–3<span>. Since </span>y<span> is squared and </span>p<span> is negative, then this is a sideways parabola that opens to the left. This puts the focus </span>3 units to the left of the vertex.<span>vertex: </span>(2, –3)<span>; focus: </span><span>(–1, –3)</span></span>
6 0
3 years ago
Let us have four distinct collinear points $a,$ $b,$ $c,$ and $d$ on the cartesian plane. the point $c$ is such that $\dfrac{ab}
Deffense [45]

Start with a line segment connecting two points, A and B. \dfrac{DA}{BA}=3 means DA is 3 times longer than BA. Clearly, D cannot fall between A and B because that would mean DA is shorter than BA. So there are two possible locations where D can be placed on the line relative to A and B.

But with \dfrac{DB}{BA}=2, or the fact that DB is 2 times longer than BA, we can rule out one of these positions; referring to the attachment, if we place D to the left of A, then DB would be 4 times longer than BA.

Finally, \dfrac{AB}{CB}=\dfrac12, so that CB is 2 times longer than AB. Again we have two possible locations for point C (it cannot fall between A and B), but one of them forces C to occupy the same point as D. However, A, B, C, D are distinct, so C must fall to the left of A.

Now let d be the length of AB. Then the length of CD in terms of d is 4d. We have the coordinates of C and D, and the distance between them is \sqrt{(4-0)^2+(0-4)^2}=4\sqrt2. So

4d=4\sqrt2\implies d=\sqrt2

The slope of the line through C and D is

\dfrac{0-4}{4-0}=-1

and so the equation of the line through these points is

y-4=-(x-0)\implies x+y=4

So the coordinates of A are (x,y)=(x,4-x). The distance between C and A is d=\sqrt2, so we have

\sqrt{(x-0)^2+(4-x-4)^2}=\sqrt{2x^2}=|x|\sqrt2=\sqrt2\implies|x|=1

Since A falls to the right of C (in the x,y plane, not just in the sketch), we know to take the positive value x=1. Then the y coordinate is y=4-1=3.

All this to say that A is the point (1, 3), so

2x+y=2+3=5

5 0
3 years ago
A new employee charged $3980 on his credit card to relocate for his first job.After noticing that the interest rate for his bala
olga nikolaevna [1]

Answer:

that should be how you would solve those questions..

8 0
3 years ago
What is the lcm of 32 and 45
Talja [164]
1440 will be your least common multiple
7 0
3 years ago
Read 2 more answers
Add the proper constant to the binomial so that the resulting trinomial is a perfect square trinomial. Then factor the trinomial
jeka57 [31]
P^2+p+1/2^2

(p+1/2)^2
3 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following is the sum of 1/2 and -2/3
    15·1 answer
  • Marissa has $4.40 in quarters and dimes. If she has 5 more quarters than dimes, how many of each coin does she have?
    15·1 answer
  • I NEED ALOT OF HELP SOMEONE!
    9·1 answer
  • Analyze the diagram below and complete the instructions that follow. Find the surface area of the rectangular prism. Round your
    11·2 answers
  • Marita drives a total of 1,456 miles during her vacation. She drives at an average speed of 52 miles per hour. For how many hour
    11·1 answer
  • If f(x) = -χ^3 + χ^2 + x, find f(-3).<br> Answers<br><br> -39<br><br> -21<br><br> 15<br><br> 33
    15·2 answers
  • Can someone help me with this question
    8·1 answer
  • How to do divide<br><img src="https://tex.z-dn.net/?f=3%20%2B%20255255" id="TexFormula1" title="3 + 255255" alt="3 + 255255" ali
    7·1 answer
  • May someone help me please.
    13·1 answer
  • Consider the function f(x)=x
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!