A laboratory uses liquid nitrogen tanks of two different sizes. The combined volume of 3 large tanks and 2 small tanks is 24 liters. The combined volume of 2 large tanks and 3 small tanks is 21 liters. What is the volume of each size of tank? JUSTIFY YOUR ANSWER.

Answer:

Lauren will finish the race faster 7 seconds faster, and 14 meters ahead.

Step-by-step explanation:

To answer this question, I will use the strategy of finding the slope of each of the proportional relationships (y = 8x for Lauren's run and y = ?x for Amani's run). The slope represents the rate at which the distance changes for each unit of time, so the person with the greater slope will finish the race faster.

To find the slope of Amani's run, I will use the tool of point-slope form, which is y - y1 = m(x - x1). I will plug in the coordinates for the second point listed in the table for Amani's run (5 seconds and 30 meters) to get y - 30 = m(5 - x1). Since I don't know the value of x1, I will solve for it in terms of m. I get x1 = 5 - (30/m).

Next, I will plug in the coordinates for the first point listed in the table for Amani's run (3 seconds and 18 meters) into the equation y - 30 = m(5 - (30/m)). I get 18 - 30 = m(5 - (30/m)). Solving for m, I find that Amani's run has a slope of m = -6.

Since Lauren's run has a slope of 8 and Amani's run has a slope of -6, Lauren will finish the race faster. To find out by how much, I will use the tool of proportional reasoning. Since the slope represents the rate at which the distance changes for each unit of time, the difference in the slopes (8 - (-6)) represents the difference in the rate at which the distance changes for each unit of time between the two runs. The difference is 14, so Lauren will finish the race 14 meters ahead of Amani for each second that they run. Since the race is 100 meters long, Lauren will finish the race approximately 7 seconds faster than Amani.

Answer:

40

Step-by-step explanation:

Answer:

Step-by-step explanation:

4.6 x 10^6

Answer:

4.6 x 10^6

Step-by-step explanation:

Answer:

48 cents

Step-by-step explanation:

Answer:

48 cents

Step-by-step explanation:

[tex]\dfrac{1}{2} z+5=57[/tex]

Subtract 5 from both sides:

[tex]\dfrac{1}{2} z+5-5=57-5[/tex]

[tex]\dfrac{1}{2} z=52[/tex]

Multiply both sides by 2:

[tex]2\times(\dfrac{1}{2} z)=2\times(52)[/tex]

[tex]\fbox{z = 104}[/tex]

Answer:

z=104

Step-by-step explanation:

1/2z=57-5

1/2z=52

1/2z*2=52*2

1z=104

1/1z=104/1

z=104

Answer: 718

Step-by-step explanation:

The formula for determining the cost of the cell phone bill (when more than the base number of minutes is used) is

c=p+(m−b)r

Where:

c is the total cost of the bill: $48.10 for this problem.

p is the base price of the plan: $40 for this problem.

m is the number of minutes used: what we are solving for this problem.

b is the base number of minutes allowed: 700 for this problem

r is the rate for additional minutes: 0.45 for this problem

Substituting and solving for m gives:

$48.10 = $40.00 + (m − 700)$0.45

$48.10 − -$40- = $40.00 − -$40- + (m − 700)$0.45 $8.10= 0 + (m−700)$0.45

$8.10 = (m - 700)$0.45

$8.10 = ($0.45 × m) − ($0.45 × 700)

$8.10 = $0.45m − $315.00

$8.10 + -$315.00- = $0.45m − $315.00 + -$315.00-

$323.10 = $0.45m − 0

$323.10 = $0.45m

[tex]\frac{323.10}{-0.45-}=\frac{0.45m}{-0.45-}[/tex] (Money)

[tex]\frac{323.10}{0.45}=\frac{0.45m}{0.45}[/tex] (Money): cross out the dollar sign for 323.10 and 0.45 under it... then cross out 0.45m but leave the m, and then cross out 0.45 under it.

[tex]\frac{323.10}{-0.45-}=m[/tex]

718 = m

m = 718

John used 718 total minutes during the month.

The value of x that will make aob a straight line equation is x = -6.

To make aob a straight line, we need to make the gradients of both lines equal.

The gradient of the first line is 3x20 = 60.

The gradient of the second line is 4x-36 = 4x-36.

To make the gradients equal, we need to solve the equation 4x - 36 = 60.

Subtracting 36 from both sides gives us: 4x = 96.

Dividing both sides by 4 gives us x = -6.

Therefore, the value of x that will make aob a straight line is x = -6

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Answer:

Step-by-step explanation:

4

Answer:

cant answer sorry i didnt realize it was an equation

Step-by-step explanation:

Answer:

don't know that sorry can you help me though

Answer:

D. 19

Step-by-step explanation:

veritically opposite angles are congruent so:

8x+2=154

8x=154-2

8x=152

x=152/8

x=19

hope this helps!! :D

9 hours will it take to clean the 15 pools.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Dave can clean pools at a constant rate of 3/5 pools per hour.

This also means that he cleans 3 pools in 5 hours

So, the time taken to clean 15 pools is

= 15×3/5

= 9 hours.

Hence, the time taken is 9 hours.

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Answer:

24

Step-by-step explanation:

From meter to cm multiply by 100

Given equation 3 = 3 is an identity, so it has infinite solutions.

Consider the given mathematical equation 3 = 3

We need to check whether the given mathematical equation has solution or not.

We know that a statement 3 = 3 's true no matter what.

We can observe that for given statement 3 = 3, there's no variable in sight.

This means, 3 = 3 must has infinite solutions.

We know that an equation which is always true, no matter what values we substituted is called as an identity.

This equation is an identity, all real numbers are solutions.

Therefore, the equation 3 = 3 have infinitely many solutions.

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Answer:

y = -1/2x + 3.5

Step-by-step explanation:

In order to pass through the point (1, 3), and is perpendicular to y = 2x - 1, then the line must be y = -1/2x + 3.5. Hope this helps!

In order to find the hypotenuse of the triangle

We need to find the other sides of a right triangle

Length of the 1st side of a right triangle is connected with a square with area 144[tex]cm^{2}[/tex]

Hence in order to find the side we

[tex]\sqrt{144} = side[/tex]

[tex]12 = side[/tex]

Length of the second side is connected to a small square with area 25[tex]cm^{2}[/tex]

[tex]\sqrt{25} = side[/tex]

[tex]5 = side[/tex]

Now we can find the hypotenuse of a right triangle with the phytogorean theorem

[tex]a^{2}+ b^{2} = c^{2}[/tex]

[tex]12^{2}+ 5^{2} = c^{2} \\169 = c^{2}[/tex]

[tex]\sqrt{169}= c[/tex]

[tex]13 = c[/tex]

Hence , the hypotenuse of a right triangle is 13cm

Answer: A

Step-by-step explanation: The other answer choices have 2 negatives which cancel and make a positive number.

According to ProPublica, from 1993 to 2011, there were almost 2.9 million black pupils enrolled in schools where at least 90% of the student body is made up of minorities.

The absence of a majority on the territory of a State is indicated by a minority. That essentially indicates that less than 50% of a nation's population belongs to one or more ethnic, religious, or linguistic groups.

According to Section 2(c) of the National Commission for Minorities Act of 1992, the following groups have been designated as minority communities: Muslims, Sikhs, Christians, Buddhists, Jain, and Zorastrians. According to the Census of 2011, minorities make up around 19.3% of the overall population of the nation.

The term "minority" in the 1990s typically refers to four significant racial and ethnic groups: African Americans, American Indians and Alaska Natives, Asians and Pacific Islanders, and Hispanics.

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A trader can create their own automated trading strategies in forex by writing a script or program in a programming language, such as MQL4 or Python. This script will contain instructions to execute trades according to specific criteria defined by the trader. They can then backtest the strategy to see how it performs.

1. Decide on a trading strategy. This could include things like setting entry and exit points, calculating position sizes, and setting stop losses and take profits.

2. Choose a programming language that is compatible with the trading platform you are using, such as MQL4 or Python.

3. Write the script or program that will contain the instructions for the trading platform to follow in order to execute the trading strategy.

4. Test the script or program to make sure it works properly.

5. Run a backtest to see how the trading strategy performs.

6. If the results of the backtest are satisfactory, you can deploy the trading strategy on the trading platform.

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Answer:

Step-by-step explanation:

if your doisjw0= and yes it would be 35%

Following are the mathematical operations for the numerics.

An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands.

In mathematics, addition, subtraction, multiplication, division, and modular forms are the five basic operations.

Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers. Image: The basic mathematical operation symbols. A set of numbers and operations make up a mathematical expression.

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Answerhold on I got you

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Add the solution together to combine an answer. 4 times 11 = 44 - 10 = 30 + > 11 = 13

The fraction that is bigger than 2/5 and smaller than 2/3 is 8/15.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Let the fraction be a/b.

2/5 < a/b < 2/3

Now,

a/b

= (2/3 + 2/5) / 2

= (10 + 6) / 30

= 16/30

= 8/15

= 0.533

Thus,

The fraction is 8/15.

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Therefore , the solution of the given problem of trigonometry comes out to be  B = arcsin(9/14) - 180° = 140.0°.

Correlations between triangles' angles and sides are studied in the branch of mathematics known as trigonometry. Since every straight-sided form may be reduced to a collection of triangles, trigonometry can be found throughout geometry. The relationships between trigonometry and other branches of mathematics, in particular calculus, real or complex, infinite series, logarithms, and infinite series, are astonishingly complicated.

Here,

There are two potential solutions because the supplied angle is opposite the given side that is the shortest.

Using the sine law,

B = b/asin(A)arcsin(9/7sin(30°))arcsin(9/14)

Angle B may take on the following values:

B is equal to arcsin(9/14) = 40.0°.

B = arcsin(9/14) - 180° = 140.0°

Therefore , the solution of the given problem of trigonometry comes out to be  B = arcsin(9/14) - 180° = 140.0°.

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Answer:

0.8

Step-by-step explanation:

36/45

4/5

80/100

0.8

Answer: horse = 61.6

donkey = 38.4

Step-by-step explanation:

Let number of donkey be d

Let number of horse be h

Based on the question given, we can form an equation which will be:

d + h = 100 ........ i

230d + 730h = 53800 ........ ii

Multiply equation i by 230

230d + 230h = 23000 ...... iii

230d + 730h = 53800 ....... iv

Subtract iii from iv

500h = 30800

h = 30800/500

h = 61.6

Since d + h = 100

d = 100 - 61.6 = 38.4

Answer: 1 hour

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{7}{2x + 1} + \frac{4}{4x + 2}[/tex]

[tex] =\frac{7(4x + 2) + 4(2x + 1)}{(2x + 1)(4x + 2)}[/tex]

[tex]= \frac{28x + 14 + 8x + 4}{(2x + 1)(4x + 2)}[/tex]

[tex]=\frac{36x + 18}{(2x + 1)(4x + 2)} [/tex]

[tex]=\frac{9(4x + 2)}{(2x + 1)(4x + 2)}[/tex]

[tex]=\frac{9}{2x + 1}[/tex]

[tex]3\sqrt{2} +5\sqrt2}\\=8\sqrt{2}[/tex]

Answer:

8√2

Step-by-step explanation:

Both 18 and 50 are easily factorable, the first as 2*9 and the second as 2*25.  Taking the square root of 18 results in 3√2 and that of 50 in 5√2/

Thus, the original problem √18 + √50 simplifies to (3 + 5)√2, or 8√2