All categories

2 years ago

Eli wants to combine 0.5 gallon of a 10% acid solution with some 35% acid solution to make a 15% acid solution.

2 answers:

7 0

Hey there!

x= # of gallons of the 35% acid solution

Equation- 0.5 gal (0.1) + x gal (0.35) = (0.5 + x)(0.15)
x= .125 gallons

Hope this helps!

TiliK225 [7]2 years ago

4 0

Answer:

).125 gallons of 35% acid solution will be added.

Step-by-step explanation:

Let Eli should add x gallons of 35% acid solution to 0.5 gallon of 10% acid solution.

Final solution will be (0.5 + x) gallons of 15% acid solution.

Now the equation will be

(0.35)(x) + (0.10)(0.5) = (0.15)(x + 0.5)

Now we will divide this equation by 0.10

3.5x + 0.5 = 1.5(x + 0.5)

3.5x + 0.5 = 1.5x + 0.75

Now we will collect similar terms in one side of the equation

3.5x - 1.5x = 0.75 - 0.5

2x = 0.25

x = $\frac{0.25}{2}$

x = 0.125 gallons

Therefore, 0.125 gallons of 35% acid solution will be added.

You might be interested in

As an advertising campaign, a chocolate factory places golden tickets in some of its candy bars, with the promise that a golden

prisoha [69]

The question is, will you meet an omppa loomp along the way

4 0

2 years ago

Scott likes to run long distances. He can run 20 km in 85 minutes. He wants to know how many minutes (m) it will take him to run

gtnhenbr [62]

You wanna
divide 85 and 52
because he can run 20 KM in 85 min
and he wants to see how long it takes him to run 52 KM
So the first one is correct

4 0

2 years ago

Find the area of the polygon WXYZ with its vertices at W(–3, –2), X(–3, 5), Y(2, 5), and Z(2, –2).

ki77a [65]

Answer:

The area of the polynomial is 35 square unit.

Step-by-step explanation:

It is given that area of the polygon WXYZ with its vertices at W(–3, –2), X(–3, 5), Y(2, 5), and Z(2, –2).

From the below graph it is noticed that the given polynomial is a rectangle with length 5 and width 7.

The distance formula

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using the above formula we get,

$WX=7$

$XY=5$

$YZ=7$

$WZ=5$

The length of opposing sides are equal.

Using the Pythagoras theorem, the length of diagonal WY and XZ are

$WY=\sqrt{(WX)^2+(XY)^2}=\sqrt{7^2+5^2}=\sqrt{74}$

$XZ=\sqrt{(XY)^2+(YZ)^2}=\sqrt{5^2+7^2}=\sqrt{74}$

Since the length of the diagonal are same, therefore the given polygon is a rectangle.

The area of a rectangle is

$A=l\times w$

Where l is length and w is width.

The area of given polynomial is

$A=5\times 7$

$A=35$

Therefore the area of the polynomial is 35 square unit.

6 0

2 years ago

Ursula Works At A Print Shop. She Uses A Printer That Can Print 12 Pages Per Minute. Yesterday She Started Printing Flyers For A

BigorU [14]

Answer:

10:30 am.

Step-by-step explanation:

We have been given that Ursula uses a printer that can print 12 pages per minute.

Ursula started printing flyer for an order yesterday. Today at 8 am she continued working on the order, and by 9 a.m. she had 420 flyers for the order completed. The order was to print 1500 pages.

Let us find the number of pages left to print.

$\text{Number of the pages left to print}=1500-420$

$\text{Number of the pages left to print}=1080$

To find the time it will take to print 1080 pages we will divide number of pages left to print by number of pages printed per minute.

$\text{Time it will take to print 1080 pages}=\frac{1080\text{pages}}{\frac{\text{12 pages}}{\text{minute}}}}$

$\text{Time it will take to print 1080 pages}=\frac{1080\text{pages}}{12}\times \frac{\text{minute}}{\text{page}}}$

$\text{Time it will take to print 1080 pages}=90\text{ minutes}$

90 minutes will be 1.5 hours , so 1.5 hours after 9 am will be 10:30 am. Therefore, the job was finished at 10:30 am.

8 0

1 year ago

preliminary sample of 100 labourers was selected from a population of 5000 labourers by simple random sampling. It was found tha

VladimirAG [237]

Answer:

$n=\frac{0.4(1-0.4)}{(\frac{0.05}{1.96})^2}=368.79$

n=369

Step-by-step explanation:

1) Notation and definitions

$X=40$ number of the selected labourers opt for a new incentive scheme.

$n=100$ random sample taken

$\hat p=\frac{40}{100}=0.4$ estimated proportion of the selected labourers opt for a new incentive scheme.

$p$ true population proportion of the selected labourers opt for a new incentive scheme.

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

2) Solution tot he problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by: