Move 2 units up and 5 units left
B' (-4,2)
​

The equation that can be written to represent this situation is 15 + 25h = 115.

Let the number of hours be represented by h.

The equation will be:

(3 × 5) + (25 × h) = 115

15+ 25h = 115

It should be noted that 15 represents the cost of jackets

Therefore, the equation that can be written to represent this situation is 15 + 25h = 115.

Learn more about equations on:

brainly.com/question/13763238

#SPJ1

Absolute value equality entered:

|x-3|+2 = 7

Another term is moved/added to the right-hand side.

|x-3| = 7 - 2

|x-3| = 5

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |x-3|

For the Negative case, we'll use -(x-3)

For the Positive case, we'll use (x-3)

-(x-3) = 5

Multiply

-x+3 = 5

Rearrange and add up

-x = 2

Multiply both sides by (-1)

x = -2

Which is the solution for the Negative Case

(x-3) = 5

Rearrange and add up

x = 8

Which is the solution for the Positive Case

x=-2

x=8

More problems are given in the link below.

https://brainly.com/question/27648592?referrer=searchResults

#SPJ4

Answer:

Section formula for external division:

[tex]P(x,y)=(\frac{mx_2+nx_1}{m+n} ,\frac{my_2+ny_1}{m+n} )[/tex]

By drawing two comparable right triangles, the evidence for this result is similar to the proof for internal divisions.

If we know the ratio of the internal distances of any two points from the provided location, we may use the section formula to obtain the coordinates of that point.

If we were to determine the coordinates of the point P, we might use the formula below by knowing the coordinates of the points A and B and the ratio of their distances to the provided point P. (section formula).

Since all other values must be provided, any formula with two or more variables can be used to determine the value of any variable. Therefore, the formula also include the other quantities.

Another well-known coordinate geometry formula exists and is a specific instance of the section formula.

If a point is equally spaced from the provided points, the mid-point formula may be used to get its coordinates. (where the ratio of m to n is 1:1)

Thanks,

Eddie

The equivalent expression for the given expression is 4² or 16.

The given expression is [tex]\frac{-4^{4} }{-4^{2}}[/tex].

We need to write the equivalent expression for the given expression.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

Now, [tex]\frac{-4^{4} }{-4^{2}}[/tex] can be simplified as follows:

=[tex]4^{4} \times4^{-2} =4^{4-2}[/tex]   (∵[tex]\frac{a^{m} }{a^{n} } =a^{m-n}[/tex])

=4²=16

Therefore, the equivalent expression for the given expression is 4² or 16.

To learn more about the equivalent expression visit:

https://brainly.com/question/27911936.

#SPJ1

Answer:

B. Thousandths

Step-by-step explanation:

Let's compare the numbers:

2.7693

2.7602

^ This is where the numbers first differ.

This number is three spaces to the right of the decimal, so it is in the thousandths place.

The correct equation is:

|x - 32| = 0.78

In this case, x represents both the maximum and minimum accepted volumes.

We know that the mean volume is 32 fluid ounces, and the acceptable error is 0.78 fluid ounces.

Then the maximum acceptable volume is 32 + 0.78 fluid ounces, and the minimum acceptable volume is 32 - 0.78 fluid ounces.

This means that the absolute value of the difference between x, the volume, and 32, must be equal to 0.78

This is written as:

|x - 32| = 0.78

In this case, x represents both the maximum and minimum accepted volumes.

If you want to learn more about absolute value:

https://brainly.com/question/1782403

#SPJ1

Answer:

2(3-8y)=

6-16y

Step-by-step explanation:

The function that models the horizontal shink of f(x) by a scale factor k = 3 is:

g(x) = |3*x| + 5

Here we want to apply a transformation to a given function where the transformation is a shrink.

For a function f(x), a horizontal shrink (or compression) of scale factor K is written as:

g(x) = f(k*x)

In this case we have the absolute value function:

f(x)= |x| + 5

And we want to apply an horizontal shrink of scale factor k = 3, so we will have a new function defined as:

g(x) = f(3*x)

If we replace f(x) by the function above we will get:

g(x) = f(3*x) = |3*x| + 5

So we conclude that the transformed function is just:

g(x) = |3*x| + 5

If you want to learn more about transformations:

https://brainly.com/question/4289712

#SPJ1

The weight of Christensen's family's kitten is 9 pounds 3 ounces.

The imperial unit of mass or weight measurement is the pound. The symbols for pounds are lb and lbm. A kilogram weighs 0.4535 pounds. The term "pound" has Germanic roots.

In the conventional system of measurement, a pound is a unit of weight. 16 ounces make up one pound.

Therefore,

We know that 1 pound = 16 ounces

16 ounces = 1 pound

Dividing each side by 16.

( 16 / 16) ounces = ( 1/16 ) pound

1 ounce = ( 1/16 ) pound

Multiplying each side by 147,

1 ounce × 147 = ( 1/16 ) × 147 pound

147 ounces = ( 147 / 16 ) pounds

147 ounces = 9.1875 pounds

147 ounces = 9 + 0.1875 pounds

147 ounces = 9 pounds 3 ounces

The weight of the kitten is 9 pounds 3 ounces.

Learn more about pounds here:

https://brainly.com/question/6465435

#SPJ9

Answer:

10

Step-by-step explanation:

5 outside the star 5 inside the star

21x⁵-3x³+3x²+4 will be the solution for x for the given equation 17x⁵+3x²+2-(-4x⁵+3x³-2) so option (D) will be correct.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear b. An equation is said to be linear if the maximum power of the variable is consistently unity.

Given the equation,

17x⁵+3x²+2-(-4x⁵+3x³-2)

⇒ 17x⁵+3x²+2 + 4x⁵- 3x³+ 2

⇒ 17x⁵ + 4x⁵ - 3x³ + 3x² + 4

Hence "21x⁵-3x³+3x²+4 will be the solution for x for the given equation 17x⁵+3x²+2-(-4x⁵+3x³-2)".

For more about the equation,

brainly.com/question/10413253

#SPJ4

Taking into account the definition of a system of linear equations, she sold 102 student tickets.

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

In this case, a system of linear equations must be proposed taking into account that:

Knowing that:

the system of equations to be solved is

[tex]\left \{ {{A+S=145} \atop {5A+3S=521}} \right.[/tex]

Of the multiple methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating the variable A from the first equation:

A= 145 - S

Replacing this expression in the second equation:

5(145 - S) + 3S= 521

5×145 - 5S + 3S= 521

725 - 5S + 3S= 521

-5S + 3S= 521 - 725

-2S= -204

S= (-204)÷(-2)

S= 102

Finally, she sold 102 student tickets.

Learn more about system of equations:

brainly.com/question/14323743

brainly.com/question/1365672

brainly.com/question/20533585

brainly.com/question/20379472

#SPJ1

The equation of the line 3x + 2y = 6 is perpendicular with the equation of the line (A) 4x - 6y = 3.

Two lines are perpendicular with each other if they form right angle at the point of their intersection. The slopes of perpendicular lines are negative reciprocal of one another.

The slope, m, determines the steepness of a line. It can be measured by the vertical distance from one point to another divided by the horizontal distance of the same points.

In an equation in standard form, ax + by = c, the slope, m,  of the line is equal to a/b. On the other hand, in an equation in slope-intercept form, y = mx + b, m is the slope.

Determine the slope of the given line and each given choices:

3x + 2y = 6

m = a/b = 3/2

(A) 4x - 6y = 3

m = a/b = 4/-6 = -2/3

(B) y = -(3/2)x + 4

m = -3/2

(C) 2x + 3y = 12

m = a/b = 2/3

(D) y = (3/2)x + 1

m = 3/2

Since the slope of the given line is 3/2, taking its negative reciprocal, the slope of the perpendicular line should be -2/3. The line with the slope of -2/3 is (A) 4x - 6y = 3.

Hence, (A) 4x - 6y = 3 is perpendicular with 3x + 2y = 6.

Learn more about perpendicular lines here: https://brainly.com/question/7098341

#SPJ4

Answer:

1, 3 and 5

Step-by-step explanation:

You can formulate the postulate as:

x² + (x + 2)² + 15 = (x + 4)²

Which simplifies to x² - 4x + 3 = 0, with solutions x=1 and x=3

so 1, 3 and 5 must be the other tuple.

6 of 20 cents there if they add up to a total of 13.2 euros.

The area of mathematics known as discrete mathematics deals with objects that can only take into account individual, unique values. The basic ideas of Sets, Relations, and Functions, Mathematical Logic, Group Theory, Counting Theory, Probability, Mathematical Induction, and Recurrence Relations, as well as Graph Theory, Trees, and Boolean Algebra are covered in this course.

X=coins t 1 euro

18-x coins 20 cents

X+0,20*(18-x)= 13,2

X+3,6- 0,20x= 13,2

0,8x=96

X=9,6/0,8= 12 coins  1-euro

18-12=6 coins 20 cents

Hence, 6 of the 20 cents here add up to a total of 13.2 euros.

To learn more about Discrete Mathematics, visit:

brainly.com/question/23896862

#SPJ1

Answer:

64 - 2g

Step-by-step explanation:

64 decreased by twice Greg's saving (given)

↓               ↓            ↓        ↓

64              -              2        g  (final equation)

64 - 2g

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

option 1

Step-by-step explanation:

hope this works :)

We can conclude that the value of x is (∠MNP + 66)/8 and angle m∠RNM = ∠RNQ - ∠MNP + 78.

So,

Now, substitute 'x = (∠MNP + 66)/8' in 8x + 12:

Hence, m∠RNM = ∠RNQ - ∠MNP + 78

Therefore, in the given question value of x is (∠MNP + 66)/8 and angle m∠RNM = ∠RNQ - ∠MNP + 78.

Know more about angles here:

https://brainly.com/question/25716982

#SPJ9

Yes, a unit rate is a rate at which the the comparison is one unit.

A unit rate is a ratio between two separate units with one as the denominator.

Examples include miles/hour, kilometers/hour, meters/sec, salaries/month, etc. The most fundamental and historically significant field of mathematics is arithmetic, which is also the one we use the most frequently in daily life. This subject is all about mathematical procedures and problems centered on numbers.

           We actually solve mathematical puzzles during our daily activities, whether we mean to or not. For instance, whether buying fruits or vegetables, engaging in other transactions, or determining how quickly something will happen, etc.

When comparing two different kinds of numbers with distinct units, a rate is a ratio that is employed. The unit rate, on the other hand, shows how many units of one quantity are equal to one unit of another. When the denominator of a rate is 1, we refer to it as a unit rate.

To learn more about unit rate; visit: https://brainly.com/question/11258929

#SPJ9

Answer:

The coefficients of the expansion are given by the 6th row of Pascal's triangle, where the top row is row zero, the next is row one, etc. The coefficients of the 6th row are used because we are expanding to the 6th power. The coefficients are 1 , 6 , 15 , 20 , 15 , 6 , 1 .

mark me as Branlist answer.Hope it helps.

A glide reflection is commutative. Reversing the direction of the composition will not affect the outcome.

A composite transformation is a glide reflection, right?

Which of the ensuing characteristics is unaffected by a glide reflection?

Learn more about glide reflections

brainly.com/question/2254222

#SPJ4

Hector outperformed the challenge rate as he exercised 2.88 hours a week.

It is best to convert the mixed fraction to decimals for easier calculation.

The students are encouraged to exercise 2¹/₂ hours per week. In decimals this is:

= 2 + ¹/₂

= 2 + 0.5

= 2.5 hours per week

In the 4 week period, Hector exercised 11¹/₂ hours which is:

= 11 + ¹/₂

= 11 + 0.5

= 11.5 hours

The number of hours he exercised per week is:

= Number of hours in total / Number of weeks

= 11.5 / 4

= 2.88 hours per week

When compared to the fitness challenge rate, we can conclude that Hector outperformed the challenge rate

Find out more about rates, visit brainly.com/question/17951676.

#SPJ9

Answer:

This is a survey

Step-by-step explanation:

The required width of the rectangle is 10 meters.

Given that,
A rectangular field has a perimeter of 150m The field is 15 meters longer than it is wide. The width of the field is x meters.

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.

Here,
The area of the rectangle = length * width
150 = 15 * x
x = 150 / 15
x = 10

Thus, the required width of the rectangle is 10 meters.

Learn more about rectangles here:

brainly.com/question/15019502

#SPJ1