All categories

3 years ago

Emmet set up a bubble station for his little sister's birthday party. He filled a bubble machine

Mathematics

1 answer:

vodka [1.7K]3 years ago

4 0

The bottle had the greater ratio.

<h3>Ratio of dish soap to water in bubble machine</h3>

Since Emmet filled the bubble machine with 12 ounces of dish soap and 24 ounces of water,

the ratio of dish soap to water in the bubble machine = amount of dish soap/amount of water

= 12 ounces/24 ounces

= 1/2

= 0.5 : 1

<h3 /><h3>Ratio of dish soap to water in bottle</h3>

Also, in the bottle, he mixed 5 ounces of dish soap and 9 ounces of water,

the ratio of dish soap to water in the bottle = amount of dish soap in bottle/amount of water in bottle = 5 ounces/9 ounces

= 5/9

= 0.56 : 1

<h3 /><h3>The greater ratio of dish soap to water</h3>

Since the ratio of dish soap to water in the bubble machine = 0.5 : 1 and the ratio of dish soap to water in the bottle is 0.56 : 1, the bottle has the greater ratio, since 0.56 > 0.5.

So, the bottle had the greater ratio.

Learn more about ratio here:

brainly.com/question/13513438

You might be interested in

If you rotate figure GTR 270° clockwise about the origin. What will be the coordinates of G’T’R’ (Please Help I need this done i

Naily [24]

Answer:

C. G' (4,-7), R' (2,-3), T'(6,-4)

Step-by-step explanation:

Get a piece of paper and draw 2 intersecting lines, like how a graph looks like. Then get another paper that's transparent enough, and place a dot roughly where R would be. Rotate it 270* clockwise (3 times around 90 degrees), and R would be in the bottom right area. That means the figure would be around that area and you can base the coordinates from that.

5 0

3 years ago

Can anyone please help explain what any of this means and how I could solve this? Many Thanks!

Yanka [14]

Step-by-step explanation:

step 1. this is a polynomial division problem

x^2 + 11x + 52

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

step 2. (x -3) [ x^3 + 8x^2 + 19x + 13

step 3. x^3 - 3x^2

step 4. 11x^2 + 19x + 13

step 5. 11x^2 - 33x

step 6. 52x + 13

step 7. 52x - 156

step 8. R -> 169

step 9. Ans: x^2 + 11x + 52 R 169

6 0

3 years ago

You have 10 liters of juice that is 40% juice and 60% water. You want the mixture to be 70% juice and 30% water. How many liters

damaskus [11]

Answer:

14 liters

Step-by-step explanation:

10 liters : 4 liters of juice and 6 liters of water

4/10 of juice and 6/10 of water

make it to 70% of juice and 30% of water

add 14 liters of juice

14/20=70% of juice

6/20=30% of water

4 0

4 years ago

3. Use the given information about the polynomial graph to write out the equation.

scZoUnD [109]

Answer:

$f(x)=-\frac{1}{12}(x-3)^2(x+2)^2(x-4)$

Step-by-step explanation:

The standard form for a polynomial equation in its factored form is:

$f(x)=a(x-p)(x-q)...$

Where p and q are the zeros and a is the leading coefficient.

We know that the degree of the polynomial is 5.

We are also given roots at x=3 and x=-2. Hence, our factors are (x-3) and (x+2).

These have a multiplicity of two, so we will square them.

We also know that there is a root at x=4. Hence, the factor is (x-4). This has a multiplicity of 1.

Therefore, our polynomial is now:

$f(x)=a(x-3)^2(x+2)^2(x-4)$

We know that the y-intercept is 12. Therefore, if we substitute in 0 for x, we should get 12 for y. Here, we are solving for our a. Therefore:

$12=a(0-3)^2(0+2)^2(0-4)$

Evaluate:

$12=a(9)(4)(-4)$

Evaluate:

$-144a=12$

Divide both sides by -144:

$a=-1/12$

Hence, our entire polynomial is:

$f(x)=-\frac{1}{12}(x-3)^2(x+2)^2(x-4)$

4 0

3 years ago

What is reasonable monthly income when you retire?

Amiraneli [1.4K]

Answer:

d) impossible to estimate

Step-by-step explanation:

8 0

3 years ago