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2 years ago

Mon poured 100 kilograms of water into 10 kg of salt. He made _ kilograms of _% salt solution.

Mathematics

1 answer:

Lina20 [59]2 years ago

3 0

Answer: He made 110 kilograms of 9.09% salt solution.

Step-by-step explanation:

Given: Mass of water= 100 kg

Mass of salt= 10 kg

Total mass of the solution: 100kg+10kg= 110 kg

The percent of salt in solution= $\frac{\text{Mass of salt}}{\text{Mass of the solution}}\times100$

∴The percent of salt in solution $=\frac{10}{110}\times100=9.09\%$

Therefore, He made 110 kilograms of 9.09% salt solution.

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Use the distributive property to write a new expression that is equivalent to this expression. 8 (-x -(1/2)

tresset_1 [31]

Answer:

-8x-4 is the answer using distributive property.

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2 years ago

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If a storm window has an area of 640 square inches, what is the equation to find the dimensions when the window is 20 inches hig

Lyrx [107]

Area = width * height
since the window is 20 inches higher than the width:
width +20 = height

640 = width * width+20
640 = width^2 +20*width
width^2 +20*width - 640 = 0
width = 17.203
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Double Check
if width = 17.203 then height = 37.203
area = 17.203 * 37.203 = 640 square inches Correct!!

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3 years ago

A roast turkey is taken from an oven when its temperature has reached 185 degrees F and is placed on a table in a room where the

Vedmedyk [2.9K]

(a) Using Newton's Law of Cooling, $\dfrac{dT}{dt} = k(T - T_s)$ , we have $\dfrac{dT}{dt} = k(T - 75)$ where T is temperature after T minutes.
Separate by dividing both sides by T - 75 to get $\dfrac{dT}{T - 75} = k dt$ . Integrate both sides to get $\ln|T - 75| = kt + C$ .

Since $T(0) = 185$ , we solve for C:
$|185 - 75| = k(0) + C\ \Rightarrow\ C = \ln 110$
So we get $\ln|T - 75| = kt + \ln 110$ . Use T(30) = 150 to solve for k:
$\ln| 150 - 75 | = 30k + \ln 110\ \Rightarrow\ \ln 75 - \ln 110= 30k \Rightarrow \\ k= \frac{1}{30}\ln (75/110) = \frac{1}{30}\ln(15/22)$

So

$\ln|T - 75| = kt + \ln 110 \Rightarrow |T - 75| = e^{kt + \ln110} \Rightarrow \\ \\
|T - 75| = 110e^{kt} \Rightarrow T - 75 = \pm110e^{(1/30)\ln(15/22)t} \Rightarrow \\
T = 75 \pm110e^{(1/30)\ln(15/22)t}$

But choose Positive because T > 75. Temp of turkey can't go under.

$T(t) = 75 + 110e^{(1/30)\ln(15/22)t} \\
T(45) = 75 + 110e^{(1/30)\ln(15/22)(45)} = 136.929 \approx 137{}^{\circ}F$

(b)

$T(t) = 75 + 110e^{(1/30)\ln(15/22)t} = 75 + 110(15/22)^{t/30} \\
100 = 75 + 110(15/22)^{t/30} \\
25 = 110(15/22)^{t/30} 
\frac{25}{110} = (15/22)^{t/30} \\
\ln(25/110) / ln(15/22) = t/30 \\
t = 30\ln(25/110) / ln(15/22) \approx 116\ \mathrm{min}$

Dogs of the AMS.

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2 years ago

If total advertising expenditures on television advertising declined 4.1% to $141.7 billion in the current year, how much was sp

Vanyuwa [196]

Using proportions, it is found that $147.8 billion was spent on television advertising in the previous year.

$x, in billions, was spent on advertising expenditures on television last year.

This year, the amount declined 4.1%, hence it is 100% - 4.1% = 95.9% of last year's amount, that is, 0.959x.

This year spending's is of 141.7 billion, hence, the equation is:

$0.959x = 141.7$

$x = \frac{141.7}{0.959}$

$x = 147.8$

$147.8 billion was spent on television advertising in the previous year.

To learn more about proportions, you can take a look at brainly.com/question/24372153

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2 years ago

4x+x+6=11x-6x+6 what is the value for x

sveticcg [70]

Answer:

use papamath it will give u the anwers

Step-by-step explanation:

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2 years ago

Mon poured 100 kilograms of water into 10 kg of salt. He made ___ kilograms of ___% salt solution.

Mon poured 100 kilograms of water into 10 kg of salt. He made _ kilograms of _% salt solution.