When should you cross multiply with fractions

The addition of the two negative numbers has a result of -3/2, and is illustrated on the number line given at the end of the answer.

To add two negative numbers, we keep the negative signal and then we add the quantities, that are represented by the numbers without the signal.

For this problem, the numbers are given as follows:

Hence the addition of the negative numbers is given as follows:

-4/3 - 1/6 = -8/6 - 1/6 = -9/6 = -3/2.

The result is of -3/2.

As for the number line, we have two negative numbers, hence each increment is to the left of the number line. The sum of the two increments, starting at zero, of 1/6 and of 4/3, combine to 3/2, as given by the image at the end of the answer.

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All the expressions like (a), (b) and (c) are true sentences in the form of inequality.

What is inequality expression?

The inequality expression in a sentence consist of two algebraic expression with the inequality symbols. And the solution of an inequality is a number which when substituted for the variable to makes the inequality as a true statement.

According to the question, the given inequality expressions in the form of the sentence is as follows:

(a) 2(3/4) > 2.68;

(b) 7.895 x 10² > 5.43 x 10³;

(c) √63 > 8.11;

(d) |-1.5| > |3.2|

In this, all the expressions like (a), (b) and (c) are true sentences in the form of inequality.

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Answer:

1     8    6

9    4    2

5    3    7

Step-by-step explanation:

1) When solving problems like this it is best to start with the smallest number. In this case the smallest number was 1, so that was placed in the top left corner.

2) The smallest number must be next to the two largest numbers so, 8 and 9 can be placed on its sides

1    8

9

3) solve for the final spots in the first row and the first column.

Row:

    1 + 8 = 9

    15 - 9 = 6

Column:

   1 + 9 = 10

   15 - 10 = 5

So,

1    8    6

9

5

3) Looking at the largest unused number, number 7, we can see that it is too large to go in the second row or the second column. This means it must be placed in the lower right corner

1    8    6

9

5          7

4) At this point you have enough information to solve for the rest of the numbers using simple addition and subtraction

Inequality - Trevor needs to tutor more than 6 hours in order to make at least $180.

What is inequality?

inequality, A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to. Either questions or theorems can be used to express inequality problems, and both can be solved using methods similar to those used to solve equations. The triangle inequality, for instance, states that the length of the remaining side of a triangle is greater than or equal to the sum of the lengths of any two of its sides. Many of these inequalities, including the Cauchy-Schwarz inequality, are used by mathematical analysis to prove some of its most significant theorems.

Total number of hours = 15

Let the hours spent tutoring French is x

Therefor, hours spent in scooping ice cream = (15-x)

Tutoring French is $15 an hour, total for x hours = 15x

Scooping ice cream is $10 an hour, 10×(15-x)= 150-10x

To make more than $180,

= 15x+ (150-10x)> 180

= 15x+150-10x>180

=15x-10x>180-150

=5x>30

=x>6

So, Trevor needs to tutor more than 6 hours.

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Answer:

6

Step-by-step explanation:

let the number be equal to x

The sum of twice a number= 2x

By using internal angles of the triangles and the definition of supplementary angles, the measure of the angle MNP is equal to 54°.

Herein we find a geometric system formed by two common semirrays with a common vertex at point N and a line segment MP such that triangle MPN is a right triangle. By Euclidean geometry we know that the sum of the measures in the internal angles equals 180°:

m ∠ NMP + m ∠ MNP + m ∠ MPN = 180°      (1)

And the two angles at point P are supplementary angles:

24 · x + m ∠ MPN = 180°      (2)

Then, by (1):

90° + 9 · x + m ∠ MPN = 180°

m ∠ MPN = 90° - 9 · x

By (1) in (2):

24 · x + 90° - 9 · x = 180°

15 · x = 90°

x = 6

Then, the measure of the angle MPN is equal to:

m ∠ MNP = 9 · x

m ∠ MNP = 9 · 6

m ∠ MNP = 54°

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Answer:

x=16

Step-by-step explanation:

I apologize I have not done geo in a while so I am not sure what the theorem is, but there is a theorem that states that when a transversal intersects with two parallel lines, two angles that are facing the same direction are the same angle. (the two white angles that i have marked are equal)

next, two lines that intersect each other will have the same angle measurements on opposite sides (the green marked angles are equal)

so that means 3x - 8 = x + 24

and when you simplify that, you get 2x = 32 ---> x = 16

The simplified expression of (2^3×2^4) is 2^7

The expression is given as

(2^3×2^4)

The base of the above expression are the same

i.e. Base = 2

This means that we can apply the law of indices

When the law of indices is applied, we have the following equation:

(2^3×2^4) = 2^(3 + 4)

Evaluate the sum in the above equation

So, we have

(2^3×2^4) = 2^7

Hence, the simplified expression of the expression given as (2^3×2^4) is 2^7

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In a case whereby there are 10 boys and 15 girls and the teacher chooses a student by random, then the probability that a boy will be chosen is 2/5 which means Jenny is right.

Since there are  there are 10 boys and 15 girls, then the total number of the population will be (10+15)=25

Then the probability of that a boy will be chosen if one of them is been chosen at random will then be =10/25 = 2/5

Therefore, Jenny is very correct because the  probability of that a boy will be chosen if one of them is been chosen at random will then be 2/5.

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The value of the trignometric expression sin(a+b) is 0.3.

Given the trignometric equations sin a + cos b = -0.2 and sin b + cos a = 1.6

So, squaring both equations and adding them

we have

[tex](sin a + cos b)^2 = -0.2^2\\(sin a + cos b)^2 = 0.04\\sin^2a+cos^2b + 2 sina cos b= 0.04\\(sin b + cos a)^2 = 1.6^2\\sin^2b+cos^2a + 2 sinb cos a= 2.56\\\\[/tex]

adding both equations

[tex]sin^2a+cos^2b + 2 sina cos b + sin^2b+cos^2a + 2 sinb cos a= 0.04+2.56\\[/tex]

1+1+2( sina cos b + cos a sin b)= 2.6

2( sina cos b + cos a sin b) = 0.6

( sina cos b + cos a sin b) = 0.3

We know that sin(a+b)= ( sina cos b + cos a sin b)

So,

sin(a+b)=0.3

Therefore, the value of sin(a+b)  = 0.3

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Using arithmetic operations, If the value of c = 4 then the value of (c/2) + 6 is 7

The given expression is (c/2) + 6

The value of c = 2

To find the value of (c/2) + 6 we have to do the suitable arithmetic operation after substituting the value  c in the expression

Substitute the value of c in the given expression (c/2) + 6

(c/2) + 6 = (2/2) + 6

Divide 2 by 2 first

(2/2) + 6 = 1+6

Add one and six

1+6 = 7

Hence, by using the arithmetic operation, if the value of c = 4 then the value of (c/2) + 6 is 7

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The mathematical expression is as follows.

1) 4(v +3)

2) 15v -7

An algebraic expression is one that has been constructed using integer constants, variables, and algebraic operations. A good example of an algebraic expression is 3x 2 2xy + c.

Given Data

Suppose the number is v

1) To obtain: four times the product of v and 3.

Accordingly, we must first add v and 3, and then multiply the result by 4.

The mathematical expression is as follows.

= 4(v+3)

2) Assume that v is the given integer.

What we're aiming for is: 7 less than 15 times v.

This calls for multiplying the v by 15 and then taking 7 out of the result.

The expression in algebra would be as follows:

= 15v - 7

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Answer: [tex](-\infty, 0][/tex]

Step-by-step explanation:

This is a parabola that opens down (because of the negative leading coefficient).

So, the average rate of change (i.e., the slope of the secant) is negative when the function is decreasing.

The function is decreasing to the left of the vertex, which is at (0, 7).

So, the function has a negative average rate of change for [tex](-\infty, 0][/tex].

For this study, the mean of 16.7 minutes is an example of a (B) Statistic.

So, the appropriate choice is an option (B).

Therefore, for this study, the mean of 16.7 minutes is an example of a (B) Statistic.

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The correct question is given below:
A researcher is interested in the travel time of Utrecht University students to college. A group of 50 students is interviewed. Their mean travel time in 16.7 minutes. For this study, the mean of 16.7 minutes is an example of a(n)

A. Parameter

B. Statistic

C. Population

D. Sample.

Answer:

Step-by-step explanation:

The initial depth is 100 feet below sea level or 100 ft.

Diving rate is 50 feet per minute or 50 ft/min.

The diving rate is the independent variable, which is:

The depth at any point is the dependent variable, which is different after number of minutes, in ft.

The equation of the line is:

Answer:

Independent variable: Time in minutes

Dependent variable: The elevation in feet

Slope: -50

Y-Intercept: -100

Step-by-step explanation:

Just did the assignment

If a costumer decides to pay in cash then saved £3.6.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

A cash discount of 8% is allowed on an item which costs £45.

Now, The amount of Saved money calculated as;

Since, A cash discount of 8% is allowed on an item which costs £45.

Hence,

Saved money = 8% of £45

                      = 8 x 45 / 100

                      = 3.6

Thus, Saved money = 3.6

Therefore, If a costumer decides to pay in cash then saved £3.6.

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Answer:

distance: 11

there are 11 points between 12 and 23, they are:

12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22 and 23.

Step-by-step explanation:

Step-by-step explanation:

-2x + 3y = -6

-3x - 2y = 11

-5x + y = 5

y = 5 + 5

y = 10

-2x + 3(10) = -6

-2x + 30 = -6

-2x = -6 - 30

-2x = -36

x = -18

i have no idea

By dividing and multiplyinh the decimal by 10, we will see that:

-0.6 = -6/10

Here we have the following decimal: -0.6

And we want to write it as a fraction.

To do so, we just need to multiply it and divide it by 10 as many times as digits we have after the decimal point. In this case we have only one digit after the decimal point, so we multiply and divide by 10 only once.

-0.6 = -0.6*(10/10) = (-0.6*10)/10 = -6/10

That is the fraction form of the given decimal.

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Point slope form of the equation through the points (6, 10) and (3, 5)  is y - 5 = 5/3 (x - 3)

Point slope form:

The point slope form of equation is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.

The general form of the equation is

(y - y1) = m (x - x1)

y = y coordinate of second point

y1 = y coordinate of point one

m = slope

x = x coordinate of second point

x1 = x coordinate of point one

Given,

Here we have the points  (6, 10) and (3, 5).

Through the given points we have to find the point slope form of the equation.

To find the point slope of the equation, first step is to find the slope of those points,

It can be calculated using the formula,

m = (y2 - y1)/(x2 - x1)

Where the values of (x1,y1) is (6,10) and the values of (x2,y2) is (3,5).

Then the value of slope after applying the values,

m = (5 - 10)/(3-6)

m = -5/-3

m = 5/3

Use the slope and a given point (3,5) to substitute for x1 and y1 in the point-slope form

y−y1=m(x−x1),

which is derived from the slope equation.

Then we get the equation as,

y - 5 = 5/3 (x - 3)

Therefore, the point slope form equation is y - 5 = 5/3 (x - 3).

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Answer:

17052 1/2

You're Welcome

Answer:

Step-by-step explanation:x=-2x

The length, width and height of the cuboid are measured to the nearest cm, volume = length x width x height,  the lowest possible value of the volume of the cuboid is [tex]cm^{3}[/tex].

Volume is measurement of three-dimensional space that is occupied. Numerous imperial units or the SI-derived units, such as the cubic meter and liter, are frequently used to quantify it numerically (such as the gallon, quart, cubic inch). Volume and length (cubed) have symbiotic relationship. The volume of a container is typically thought of as its capacity, not as amount of space it takes up. In other words, volume is the amount of fluid (liquid or gas) that the container may hold.

Volume was initially measured using naturally occurring vessels of a comparable shape and then with standardized containers. Arithmetic formulas can be used to quickly calculate volume of several straightforward three-dimensional shapes. If a formula for the shape's boundary is known, it is possible to use integral calculus to determine volumes of more complex shapes. No object in the dimensions of zero, one, or two has volume; in the dimensions of four and above, the hypervolume is a concept similar to the standard volume.

Volume = 7cm*4cm*9cm = 252[tex]cm^{3}[/tex]

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Hey! Your question was incomplete because I have double-checked my work, and even checked reliable sources to see if I missed something in my work, but I keep getting –238. I did play around with the question by switching the negative symbol around in the equation to see if I would get a balanced answer. I say this because when you solve the question you posted, the answer I got was w = –238, but when I went back to check my work by plugging that number in as the value of w, I got –238 ≠ 238 (or something like that. The number is the same, but the signs are not). If the signs and numbers don't both equal each other something is wrong with the problem. I believe I figured out where your question went wrong. Instead of the question being 34 = –w/7, I believe that the correct question should have been –34 = w/7. What I think happened was that when you typed your question, you swapped the negative on the 34 with the variable of w. If I am incorrect, and you typed your question correctly, I am sorry in advance because my work wasn’t matching what I got for w. But for now, I will solve what I think the question should have said. Again, sorry in advance. Solve for w in the following equation: –34 = w/7.

Write the equation:

–34 = w/7

Multiply both sides by 7:

7 × –34 = w/7 × 7

Multiply:

–238 = 1w

Divide:

–238/1 = 1w/1

–238 = w or w = –238

Check your work by plugging –238 back into the equation as w:

–34 = w/7

–34 = –238/7

Multiply both sides by 7:

–34 × 7 = –238/7 × 7

–238 = –238 ✔

Thus, w = –238

Hope that helps! Have an amazing rest of your day!! :)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Figure D is a dialation of Figure C.

Each of the sides of Figure D is proportionate to Figure C

The scale factor is 1.5

3:2 = 4.5:3 = 3:2=3:2