Convert 195 ml to liters using unit fractions

From the position of the metals on the electrochemical series, there would be no reaction of the solution with iron and copper.

We know that a reaction is said to have occurred between a metal and a solution if the metal is able to displace the cation that is in the solution. This displacement would in turn have a lot to do with the position of the metals in the electrochemical series.

Given that iron and copper are all less than aluminum which is the cation in the solution in the electrochemical series then it would not be possible for these metals to displace it in solution thus there would be no reaction.

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Answer:

4x[tex]\sqrt{6x}[/tex]

Step-by-step explanation:

This can be written:

[tex]\sqrt{(3)(2)(2)(2)(2)xxx}[/tex]  Pull out all the pairs. There are 2 pairs of 2 and 1 pair of x's

(2)(2)x[tex]\sqrt{(3)(2)x}[/tex]  Clean up

4x[tex]\sqrt{6x}[/tex]

Answer:

Step-by-step explanation

Initial amount = $85

Final amount = $110

percentage error = ((Final amount - Initial amount)*100)/Final amount

= (25*100)/110

=22.7272

=22.7 (to the nearest tenth of a percent, which is 1 decimal place)

The solution is 22.7 %

The percentage error in the estimation of donations at the pet store by Jenny is 22.7 %

What is Percentage Error?

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage error is the difference between the measured value and the true value , as a percentage of the true value

Percentage Error = [ ( | Measured Value - True Value | ) / True Value ]x 100

Given data ,

Let the percentage error be represented as A

Now , the value of A is

The estimated donation amount by Jenny = $ 85

The actual donation amount collected by Jenny = $ 110

Now , the percentage error in the estimation of Jenny A is calculated by the equation ,

Percentage error in the estimation of Jenny A = ( ( | estimated donation amount - actual donation amount collected by Jenny ) | / actual donation amount collected by Jenny ) ) x 100

Substituting the values in the equation , we get

Percentage error in the estimation of Jenny A = ( | 85 - 110 | / 110 ) x 100

On simplifying the equation , we get

Percentage error in the estimation of Jenny A = ( 25/110 ) x 100

Percentage error in the estimation of Jenny A = 2500 / 110

Percentage error in the estimation of Jenny A = 22.72 %

Therefore , the value of A is 22.7 %

Hence , the percentage error in the estimation is 22.7 %

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Using the system of linear equations, Malik sold 14 grapes and 36 oranges

In algebra, a system of equations comprises two or more equations and seeks common solutions to the equations. "A system of linear equations is a set of equations which are satisfied by the same set of variables."

To solve this, we have to set a system of linear equations.

Let;

x + y = 50 ...eq(i)

2x + y = 64 ...eq(ii)

Solving both equations, the value of x and y are 14 and 36 respectively

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Answer: 14 and 36

Step-by-step explanation: 2023

Answer: -11

(absolute value) (15 - 6) x -1 = 11 x -1 = -11

Answer:

6 on edge

Step-by-step explanation:

The temperature of City A and City B on that day was 4° C respectively.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

WE have been given system of equations as;

5x = 8 + 3y

x − 2y = −4

Now we can multiply equation B by -5 to eliminate the x variable in both equations.

Add them together;

5x = 8 + 3y

-5x + 10y = 20

Then add both of them A + B:

-5x + 10y + 5x - 3y = 20 + 8

7y = 28

y = 4

To solve for x;

5x = 8 + 3y

5(x) = 8 + 3(4)

x = 4

Hence, the temperature of City A and City B on that day was 4° C respectively.

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Answer:

B. City A was 4° C, and City B was 4° C.

Step-by-step explanation:

It is right i did it on the test

The frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.

It is given that:

24 children were asked which is their favourite colour from a choice of red, blue

green or yellow

From the data given in the question.

Red : 6

Blue: 4

Green: 8

Yellow : 1 (half of 2)

Pink: 1 (half of 2)

Thus, the frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).

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Answer:

[tex]0.4514 = 45.14%[/tex]

Step-by-step explanation:

Use the equation:
[tex]Z=\frac{X-u}{a}[/tex]

Given:

[tex]u=159, o=13,n=60,s=1.68[/tex]

This is the pvalue of Z when [tex]X = 159+1 = 160[/tex]  subtracted by the pvalue of Z when [tex]X = 159-1 = 158[/tex]

[tex]x = 160[/tex]

[tex]Z=\frac{X-u}{o}[/tex]

Central Limit Theorem  applied:

[tex]Z=\frac{X-u}{o}[/tex]

[tex]Z=\frac{160-159}{1.68}[/tex]

[tex]Z=0.6[/tex]

[tex]Z=0.6(\text{P-value}:0.7257)[/tex]

[tex]X=150[/tex]

[tex]Z=\frac{X-u}{o}[/tex]

[tex]Z=\frac{158-159}{1.68}[/tex]

[tex]Z=-0.6[/tex]

[tex]Z=-6(\text{P-value}:0.2743[/tex]

[tex]0.7257-0.2743=0.4514[/tex]

This means that there is a 45.14% probability.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is each student in Ms. Lee's class is either a junior or a senior. Ms. Lee took some students from her class on a field trip. Of the 18 juniors in her class, 5/6 went on the trip, and 17 seniors from her class also went on the trip.

[A] - Juniors that did not went are -

18 - (5/6 x 18)

18 - 15

3

[B] - Juniors that went are -

(5/6 x 18)

15

[C] - Not enough information

Therefore -

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Answer: not 100% but i think its A

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf x = 1}[/tex]

Step-by-step explanation:

g(x) = 5x + 4

Given that, g(x) = 9

So,

9 = 5x + 4

Subtract 4 to both sides

9 - 4 = 5x

5 = 5x

Divide 5 to both sides

1 = x

OR

x = 1

[tex]\rule[225]{225}{2}[/tex]

Answer:

x = 1

Step-by-step explanation:

The given information is,

→ g(x) = 5x + 4

→ g(x) = 9

Now the value of x will be,

→ 5x + 4 = g(x)

→ 5x + 4 = 9

→ 5x = 9 - 4

→ x = 5/5

→ [ x = 1 ]

Hence, the value of x is 1.

The  linear equation that model the above is h = 32 -2t and the height of fire after 8 hours is 16 inches

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.

Using the equation for a straight line and writing similar

h = mt + c

h = height, t = hours m and c are constants

at h = 24, t = 4

Equation becomes

24 = 4m + c--------------1

at h = 20, t = 6

20 = 6m + c---------------2

Subtract equation 2 from 1 so that the eqution reduces to

4 = -2m

m = 4/-2

m = -2

substitute m in equation 1

24 = 4( -2) + c

24 = -8 + c

c = 32

substituting m and c in he linear equation above we have

h = 32 - 2t

After 8 hours, the height h = 32 -2(8) which is 16 inches

In conclusion the linear equation is h = 32 - 2t and the height of fire after 8 hours is 16 inches

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Line e is parallel.

Line h is perpendicular.

Lines f and g are neither.

The average rate of change  of the function h(x) = -x² - 9x + 23,  over the interval -8 ≤ x ≤ -2 is 1

What is average rate of change?

Let's find the average rate of change of h(x) = -x² - 9x + 23 in the interval of -8 ≤ x ≤ -2

h(-8) = -(-8)² - 9(-8) + 23

= -64 + 72 + 23

= 31

h(-2) = -(-2)² - 9(-2) + 23

= -4 + 18 + 23

= 37

Average rate of change = f(b) - f(a) / b - a

= h(-2) - h(-8)

= 37 - 31 / -2 - (-8)

= 6 / -2 +8

= 6/6

= 1

Here, the average rate of change  of the function h(x) = -x² - 9x + 23,  over the interval -8 ≤ x ≤ -2 is 1.

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The line has a gradient of 2 and a y -intercept of 1. So, draw the line through (0,1) and (1,3).

The system of equations given have infinite number of solutions

A system of equations, also known as a set of simultaneous or an equation system, is a finite set of equations for which we sought the common solutions. A system of equations can be classified in a similar manner as single equations.

In the equations given;

4x + y = 10 ...eq(i)

16x + 4y = 40 ...eq(ii)

Solving both equations;

The value of x and y is

y = 10 - 4x

This shows that the system has infinite number of solutions.

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Answer:

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

Let the cost of the meal be x.

Adding a tip of 19%:

Answer:

Wyatt should multiply with 1.19.

Step-by-step explanation:

Forming the expression,

→ 1 + (19% of 1)

Now the required number is,

→ 1 + (19% of 1)

→ 1 + ((19/100) × 1)

→ 1 + (19/100)

→ 1 + 0.19 = 1.19

Hence, required number is 1.19.

Answer:

328,000-49,000= 279000

the amount of mortgage they paid

15 x 2354.37= 35315.55

Step-by-step explanation:

The  slope and y-intercept of the equation of straight line y=5x+12 is 5 and 12.

What is equation of straight line?

A line that does not curl or bend is said to be straight. A line has length but no width, making it a one-dimensional figure. A line consists of points that extend infinitely in opposite directions. Two points in a 2D plane determine it. A, B, and C are real-based constants in the formula Ax + By + C = 0, A, B 0. The geometric representation of the equation is always a straight line.

Here we know that equation of straight line is y=mx +c.

Where m=slope and c=y-intercept.

Here the given equation is ,

=> y=5x+12

Compared with general form then,

=> m = 5 and c=12.

Therefore slope and y-intercept of the equation of straight line y=5x+12 is 5 and 12.

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The entire missing lengths as well as the missing angles of the given right angle triangle are as calculated below using Pythagoras theorem and trigonometric rules.

We are given a right angle triangle and as such we can use both Pythagoras theorem and even trigonometric rules such as sine rule and cosine rules.

a) W are given that A = 30°, Thus;

B = 180 - (90 + 30)

B = 60°

Using sine rule;

a/sin A = b/sin B

a/sin 30 = 6/sin 60

a = 3.464

c/sin 90 = 6/sin 60

c = 6.928

b) a = 13 and b = 13

Using Pythagoras theorem;

c = √(13² + 13²)

c = 18.385

Since a = b, it means it is an isosceles triangle and so;

A = B = 45°

c) B = 30°, c = 10

A = 180 - (30 + 90)

A = 60°

10/sin 90 = b/sin 30

b = 5

10/sin 90 = a/sin 60

a = 8.66

d) A = 45°, c = 12

B = 45°

c/sin 90 = b/sin 45 = a/sin 45

b = a = 12 * sin 45 = 8.485

e) c = 1, b = 1/√2

c/sin 90 = b/sin B

1/sin 90 = (1/√2)/ sin B

B = 45° = A

a = √(1² - (1/√2)²)

a = 0.7071

f) c = 4 and b = 4;

a = √(4² - (4)²)

a = 0

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Considering the figure the third figure  relates to first figure by reflection and not translation hence No; it is one reflection after another with respect to the two parallel lines

A reflection is a transformation that works similarly to a mirror by switching all pairs of points that are directly across from one another along the line of reflection.

The equation or the two points it passes through can be used to define the line of reflection.

In the problem, the parallel lines are the line of reflection. The parallel lines displays the mirror image of the line segment

The first image relates with the first image as a result of reflections

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The equation that can be used to determine the number of plates used is p = 48 / 6.

In order to determine the number of plates that Jim used, divide the total number of carrots by the number of carrots used for each plate.

Division is the mathematical process used to put a number into equal groups using another number. The sign that represents division is ÷.

Total number of plates used = total number of carrots / carrot used per plate

Total number of plates used = 48 / 6

Total number of plates used = 8

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a. The finance charge on August 8 is given by: $3.69.

b. The new balance on August 8 is given by: $298.64.

A proportion represents a fraction relative to a total amount, which is combined with the basic arithmetic operations, especially multiplication and division, to find the desired amounts in whichever context is needed in the problem.

A proportion is applied in this problem to find the finance charge, which is of 1.25% of 294.95, hence:

Finance charge = 0.0125 x 294.95 = $3.69.

Then the new balance on August 8 is obtained by the previous balance on July 8 added to the finance charge which we obtained above, hence it is of:

New balance = 294.95 + 3.69 = $298.64.

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The equation that can be used  to determine the number of plates, p, that he used is 6p = 48.

Jim is a preschool teacher. While he was getting ready for his class's snack time, he put 6 carrots on each plate.

He used 48 total carrots. The equation that could be used to determine the number of plates, p, that he used can be represented as follows:

where

Therefore,

6 carrots are put on each plate.

He has 48 carrots in total. And needs to put all in a plate.

Hence, the equation that could be used to determine the number of plates, p, is  6p = 48

p = 48 / 6

p = 8

Therefore,

number of plates = 8

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Answer:

The answer is answer choice E.

Step-by-step explanation:

Complementary angles add up to 90 degrees, while supplementary angles add up to 180 degrees

The test statistic for the hypothesis test using the parameters is 2.05

A test statistic is used to access how consistent  sample data are with the null hypothesis in a hypothesis test.

How to calculate test hypothesis of  given parameters?

Using the parameters

Hₙ: ц=12.5, x=14.1, s=2.7, and n=12

The test statistic (t) is given by the formula

t=[tex]\frac{x-U}{s/\sqrt{n} }[/tex]

Substituting the given parameters;

t=[tex]\frac{14.1-12.5}{2.7/\sqrt{12} }[/tex]

t=[tex]\frac{1.6}{2.7/3.46}[/tex]

t=[tex]\frac{1.6}{0.78}[/tex]

t=2.05

This figure is round up to 2 decimal places

The test statistic using the parameters is 2.05

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Answer:

E $80

Step-by-step explanation:

This would be like paying for 9 lessons

9 x 40 is 360

The first lesson costs twice as much, so it costs 80.

The conversion of 33 kilo to pounds using unit fractions is given by 72.765 pounds

There are several units used by scientist to measure different things such as weight, temperature, mass, length etc. Units can be converted from one form to another.

Kilograms written as kg is a unit of mass

Milligrams written as mg is also a unit of mass.

Convert kilo to pounds:

1 kilo = 2.205 pounds

33 kilo = 2.205 × 33

= 72.765 pounds

That is,

A kilo is equivalent to 2.205 pounds

In conclusion, the conversion of 33 kill to pounds is 72.765 pounds.

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Step-by-step explanation:

[tex]46064yx \times ( \frac{ { > < |x { \frac{( {))(6460 = 464}^{?} }{?} }^{?} | }^{?} }{?} [/tex]