Which formula best expresses your monthly ending balance?

How many liters of water must Sharon add to 2 liters of a sugar and water solution that is 36% sugar to create a solution that i

Dahasolnce [82]

The amount of sugar $x$ in the starting solution contributes to a 36% concentration, so we have

$\dfrac x2=0.36\implies x=0.64$

units of sugar in the solution.

Into this solution, Sharon wants to pour $y$ liters of water to obtain a smaller concentration of sugar in the overall solution:

$\dfrac{0.64}{2+y}=0.12\implies\dfrac{16}3=2+y\implies y=\dfrac{10}3\approx3.33$

So Sharon needs to add $\dfrac{10}3$ liters of water to the solution to get the desired concentration.

3 0

3 years ago

Which equation is equivalent to 3[x+3(4x-5)]=15x-24

Klio2033 [76]

3[x+3(4x-5)]=15x-24; x+12x-15=5x-8 (divide both sides by 3); 8x=7 (move all the x's to one side), x=7/8

7 0

3 years ago

Read 2 more answers

There is a stack of books that is 12 4/9 inches tall. If we take a book off the stack that is 2/9 inches thick. How high is the

Yanka [14]

Answer: It would be 12 2/9

Step-by-step explanation: 4/9-2/9=2/9 Hope this helps!:)

7 0

3 years ago

Scenario: Kevin is baking cupcakes for a fundraiser at his school. Yesterday, he prepared 30 cupcakes in 45 minutes. Today, he p

attashe74 [19]

a) As the constants are equal, the situation represents a proportional relationship.

b) The constant of 2/3 cupcakes per minute means that in a minute, 2/3 of a cupcake is made.

<h3>What is a proportional relationship?</h3>

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

In this problem, the constants for each situation are:

k = 30/45 = (30/15)/(45/15) = 2/3 = 20/30.

Since the constants are equal, the situation represents a proportional relationship.

The constant of 2/3 cupcakes per minute means that in a minute, 2/3 of a cupcake is made.

More can be learned about proportional relationships at brainly.com/question/10424180

#SPJ1

5 0

2 years ago

1. A researcher is interested in whether drinking different sources of caffeine (tea vs. coffee) leads

g100num [7]

The researcher's scientific/alternative hypothesis is:

Different sources of caffeine leads to differences in women's attentional control performance.

The researcher's null hypothesis is:

Different sources of caffeine leads to no difference in women's attentional control performance.

The type of sample which the researcher is using is:

Probability sampling.

A disadvantage to using this sample type is:

It is time consuming.

The thing which the researcher can conclude about these data is:

It is conclusive based on the reaction of the women to the independent variables.

If, in the population, women actually show NO difference in attentional control performance after drinking black tea versus coffee, the type of statistical error which the researcher has made is:

Type I error

<h3>What is a Scientific Hypothesis?</h3>

This refers to the difference between two variables which is discovered during a scientific research and is an observed pattern.

Read more about scientific hypothesis here:
brainly.com/question/896413

3 0

2 years ago