Point slope form. (-5,-1) and (6,-5)

Answer:

885

Step-by-step explanation:

Given:  Amount available in the cash register= $ 125.50.

            Every item is just priced at $1.00

            Total amount of money at the end of day= $1085.60

            Sales tax rate= 8.5%

First finding total revenue generated at the end of day,

Total revenue at the end of day= [tex]Total\ cash\ at\ the\ end\ of\ day - Cash\ available\ at\ the\ beginning\ of\ day[/tex]

∴ Total revenue at the end of day= [tex]1085.6- 125.5= \$ 960.1[/tex]

Lets assume total number of item sold be "x".

Now, forming an equation to determine the total revenue generated at the end of day.

We know, Total revenue is the number of item sold at $1 and sales tax revenue generated on the number of item sold.

⇒ [tex]\$1 \times x + \frac{8.5}{100} \times x= \$ 960.1[/tex]

⇒[tex]1x+0.085x= 960.1[/tex]

⇒ [tex]1.085x= 960.1[/tex]

dividing both side by 1.085

⇒[tex]x= \frac{960.1}{1.085}[/tex]

∴ x= [tex]884.884[/tex] [tex]\approx 885[/tex]

Hence, total number item sold in the day is 885

Answer:

5 1/3 x 2 3/4= 3/4 5 x 2 = 10

Step-by-step explanation:

Multiply fractions 1/3 x 3/4= 3/4

Answer:

The point of concurrency of the angle bisectors of a triangle is inside the triangle.

Step-by-step explanation:

Considering the triangle ΔABC as shown in attached figure.

As it is clear that

As the triangle's incenter is always located inside the triangle, so we can conclude that the point of concurrency of the angle bisectors of a triangle is inside the triangle.

Therefore, the point of concurrency of the angle bisectors of a triangle is inside the triangle

Please check the attached figure below.

Keywords: angle bisectors of a triangle, point of concurrency

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Answer:

3,400,000

Step-by-step explanation:

refer to attached for reference

in our case, the digit in the hundred thousands place is the number 4.

How we round this digit depends on the digit directly to the right of it (i.e the ten-thousands place).

If the digit to the right is less than 5, then leave the digit in the hundred thousands place the same and make everything else to the right zeros.

if the digit to the right is 5 or greater, then increase the digit in the hundred thousands place by 1 and then make everything else to the right zeros.

in our case, the digit to the right of the hundred thousands place is the number 2, this is less than 5, so we leave 4 the same and make everything esle to the right zero.

i.e. 3,400,000

3,425,645 rounded to the nearest hundred thousand is 3,400,000. The rounding is based on the digit in the ten thousand's place, which is 4 in this case, so we round down.

To round the number 3,425,645 to the nearest hundred thousand, we look at the ten thousand's place which is 2. Since this digit is less than 5, we round down the hundred thousand's place. Therefore, 3,425,645 rounded to the nearest hundred thousand is 3,400,000.

When rounding to the nearest hundred thousand, the digit in the hundred thousand's place becomes the focus. If the digit in the ten thousand's place (to the right of the hundred thousand's place) is 4 or less, the hundred thousand's digit remains the same and all subsequent digits become zero. If the ten thousand's place is 5 or more, the hundred thousand's digit is increased by one, and again, all digits to the right are changed to zero.

In this example, the hundred thousand's digit is 3 and the ten thousand's digit is 4, which tells us to keep the hundred thousand's place as it is and replace the subsequent digits with zeros. This gives us 3,400,000 as the rounded number.

Answer:

5x^2-14x-4

Step-by-step explanation:

(4x^2-9x-1)+(x^2-5x-3)

4x^2+x^2-9x+(-5x)-1+(-3)

5x^2-9x-5x-1-3

5x^2-14x-4

Answer:

80 inches wide

Step-by-step explanation:

3 inches = 20 feet. 12/3=4. 4*20=80 inches

Answer:

Step-by-step explanation:

141

Answer:

23

Step-by-step explanation:

Answer:

B.(-1,2)

Step-by-step explanation:

In a function, there can not be two different values of y corresponding to the same value of x.

See the graph attached.

Here, the points on the graph are (1,2), (2,-3), (-2,-2) and (-3,1).

If we consider point (-2,2) then there will be two points corresponding to the same x value i.e. (-2,-2) and (-2,2).

Similarly, if we consider the point (2,-2) or (2.-1) then also there becomes more than one values of y for a single value of x i.e. x = 2.

So, if we consider the ordered pair (-1,2) then only the graph still represents a function. (Answer)

Answer:

B.(-1,2)

Step-by-step explanation:

Answer: 25422

Step-by-step explanation:

6(4000+237)

6(4000) + 6(237)

24000 + 1422

24000+1422=25422

Answer:

  6·4237 = 25422

Step-by-step explanation:

This is the way multiplication by hand is usually done.

  6(4237) = 6(4000 +200 +30 +7) = 6·4000 +6·200 +6·30 +6·7

  = 24000 +1200 +180 +42

  = 25200 +222 . . . . . add first two terms and last two terms

  = 25422

Answer:

3/5

Step-by-step explanation:

60/100 = 6/10 ( given by 10th table) = 3/5  (give by 2nd table)

Answer:

A.54,000,000

Step-by-step explanation:

apexs

Answer:

Factoring a polynomial involves writing it as a product of two or more polynomials. It reverses the process of polynomial multiplication.

Step-by-step explanation:

Factoring a polynomial is the reverse of multiplying two polynomials and involves reversing the distributive law, returning an expression to its original factors or multiples.

Factoring a polynomial reverses the process of multiplying two polynomials. When you factor a polynomial, you are essentially reversing the distributive law and turning an expression back into its factors or multiples. An expression is a mathematical phrase that can include numbers, variables (abbreviated as var), and the product or quotient of these, all separated by plus or minus signs. Factoring out common components helps to simplify an expression, just as using factors of ten can help to assess differences and cancel out units in algebra.

Factoring polynomials is a crucial part of algebraic manipulation, allowing us to find expressions that, when evaluated, produce the same value. This operation is important in solving equations and can also reveal interesting properties of numbers, especially within the complex number system. For example, second-order polynomials may have two roots and can be factored, such as x² + 1 which can be factored into (x - i)(x + i), where i is the imaginary unit.

The answer is D. octagon.

Therefore, the only shapes that can be formed by slicing a square prism with a plane from the given options are a rectangle, a triangle, and an octagon. A hexagon is not possible, making option C the correct answer.

The correct answer is C. A hexagon is not possible when slicing a square prism with a plane.

When slicing a square prism with a plane, the resulting cross section can take on various shapes depending on the angle and position of the cutting plane. Here are the possible cross sections:

- If the plane is parallel to one of the faces of the prism and intersects the prism, the cross section will be a rectangle (Option A).

- If the plane intersects two adjacent edges of the prism, the cross section will be a triangle (Option B).

- If the plane passes through the prism in such a way that it intersects all four edges of one face of the prism, the cross section will be an octagon (Option D), provided that the plane does not intersect the prism at the corners of the square base.

However, a hexagon (Option C) is not a possible cross section when slicing a square prism with a plane. This is because to create a hexagon, the plane would need to intersect three non-adjacent edges of the prism's base, which is geometrically impossible given the right angles of the square base. A hexagon has six sides, and a square prism's base has only four edges, which cannot be divided into three pairs of non-adjacent edges that a plane could intersect to form a hexagon.

Answer: A. would give the same result as the blank space as generally, when you think the answer is A. you should double check that as teachers know that students will always guess A in a pinch.

Step-by-step explanation:

Answer:

The correct answer is b = 6 √3 units

Step-by-step explanation:

Let's recall that we can use the following ratio for the sides of a 90 - 60 - 30 triangle:

1 : √3 : 2, where 2 is the hypotenuse.

Upon saying that, we have that in our triangle:

Hypotenuse = 12 units

a = 6 units

b = 6 √3 units

The correct answer is b = 6 √3 units

Answer:

b = 6

Step-by-step explanation:

The above questions is trigonometry where hypothenus = 12; opposite = b; and adjacent = a. Applying SOHCAHTOA principle, the appropriate is

Sine = opposite/hypothesis, since we are to find the value of b. Thus,

Sine 30 = b/12

0.5 =b/12

By cross multiplying,

b = 0.5 × 12

b = 6

Answer:

there are 6 hundredths

Step-by-step explanation:

the 6 is in the hundredths decimal place so the answer would be 6

Answer:

53926

Step-by-step explanation:

539.26x100=53926

Answer: ( 12 , 9 )

Step-by-step explanation:

The formula for finding the coordinate of points when a line is externally divided in a given ratio is given by :

x = [tex]\frac{p x_{2}+q x_{1}}{p+q}[/tex]

y = [tex]\frac{p y_{2}+q y_{1}}{p+q}[/tex]

From the question

[tex]x_{1}[/tex] = 2

[tex]x_{2}[/tex] = ?

x = 4

[tex]y_{1}[/tex] = -1

[tex]y_{2}[/tex] = ?

y = 1

p = 1

q = 4

substituting the values into the formula ,we have

x = [tex]\frac{p x_{2}+q x_{1}}{p+q}[/tex]

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

4 = [tex]\frac{x_{2}+8}{5}[/tex]

[tex]x_{2}[/tex] + 8 = 20

[tex]x_{2}[/tex] = 12

Also

y = [tex]\frac{p y_{2}+q y_{1}}{p+q}[/tex]

1 = [tex]\frac{y_{2}+4(-1)}{5}[/tex]

[tex]y_{2}[/tex] - 4 = 5

[tex]y_{2}[/tex] = 9

Therefore , the end of the stencil is located at point ( 12 , 9 )

170 ml of 20 % fungicide solution is mixed with 30 ml of 60% fungicide solution  to create 200 milliliters of a 26% solution

Solution:

The final solution has 200 ml

Let "x" be the ml of 20 % fungicide solution

Then, (200 - x) is the ml of 60% fungicide solution

Then according to question, we can say,

"x" ml of 20 % fungicide solution is mixed with (200 - x) ml of 60% fungicide solution to get 200 ml of 26 % solution

We can frame a equation as:

[tex]x \times 20 \% + (200-x) \times 60 \% = 200 \times 26 \%\\\\\text{Solve the equation for "x" }\\\\x \times \frac{20}{100} + (200-x) \times \frac{60}{100} = 200 \times \frac{26}{100}\\\\\text{Simplify the above expression}\\\\x \times 0.2 + (200-x) \times 0.6 = 26 \times 2\\\\0.2x + 120 - 0.6x = 52\\\\-0.4x = 52 - 120\\\\-0.4x = -68\\\\x = 170[/tex]

Thus 170 ml of 20 % fungicide solution is used

Then , (200 - x) = 200 - 170 = 30 ml of 60% fungicide solution is used

James needs to mix 160 milliliters of the 20% solution with 40 milliliters of the 60% solution, in order to achieve a 26% solution in a total volume of 200 milliliters.

To solve the problem, set up two equations based on the total volume and the percentage of the fungicide.

Solving these two equations simultaneously, we get x = 160 milliliters and y = 40 milliliters.

Therefore, James needs to mix 160 milliliters of 20% fungicide solution and 40 milliliters of 60% fungicide solution to get a 26% solution of 200 milliliters.

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Answer:

Explanation:

year 1 (all the values are is $)                                                  

        (including the interest)                     40,000 + 3,000 = 43,000

       (half of the debt)                               43,000 / 2 = 21,500

year 2 (all the values are is $)                                                  

        (including the interest)                     21,500 + 1612.50 = 23,112.50

       (half of the debt)                               23,112.50 / 2 = 11,556.25

year 3 (all the values are is $)                                                  

        (including the interest)                     11,556.25 + 866.72 = 12,422.97

       (half of the debt)                               12,422.97 / 2 = 6,211.48

year 4 (all the values are is $)                                                  

        (including the interest)                     6,211.48 + 465.86 = 6,667.35

       (half of the debt)                               6,667.35 / 2 = 3,338.67                        

Amount paid back at the end of 4 years ($) :

there is 5 roots  hope it helps

Answer:

A. is Obtuse scalene triangle.

Step-by-step explanation:

Hope this help

Answer:

c i think

Step-by-step explanation:

[tex]\bf \stackrel{\textit{geometric mean of 2 and 135}}{\cfrac{2}{x}=\cfrac{x}{135}\implies 270 = x^2}\implies \sqrt{270}=x[/tex]

Answer:

8+b=20

Step-by-step explanation:

Answer:

The equation of the line in point slope form is equal to

[tex]y+2=(x+2)[/tex]

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Find the slope

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

(-2,-2) and (2,2)

substitute the values

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

step 2

Find the equation of the line in point slope form

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]m=1\\(x1,y1)=(-2,-2)[/tex]

substitute the values in the formula

[tex]y-(-2)=(1)(x-(-2))[/tex]

[tex]y+2=(x+2)[/tex]

Answer:

No I don't agree with their solution; both their answers are wrong.

Correct answer is [tex]b=-30[/tex].

Step-by-step explanation:

Given:

[tex]\frac{2}{5}b+1=-11[/tex]

Now given:

According to Mai [tex]b = -25[/tex] and According to Tyler [tex]b = -28[/tex]

Now we need to find which of them is correct.

So we will solve the given equation we get;

[tex]\frac{2}{5}b+1=-11[/tex]

Subtracting both side by 1 we get;

[tex]\frac{2}{5}b+1-1=-11-1\\\\\frac{2}{5}b =-12[/tex]

Now Multiplying both side [tex]\frac{5}{2}[/tex] we get;

[tex]\frac{2}{5}b\times\frac{5}{2}= -12 \times \frac{5}{2}\\\\b=-6\times 5\\\\b=-30[/tex]

Hence both of them are incorrect, correct answer is [tex]b=-30[/tex].

Both Mai's and Tyler's solutions are incorrect. Mai's solution is incorrect as the correct solution to b is -30, not -25. Tyler's work has several typos that lead to an incorrect solution. To correctly solve the equation, you should subtract 1 from both sides to get 2/5b = -12, then multiply by the reciprocal of 2/5 which gives b = -30.

The original equation presented is 2/5b + 1 = -11. Let's verify both Mai's and Tyler's solutions:

The correct procedure should be: Subtract 1 from both sides of the equation to get 2/5b = -12. Then multiply both sides by 5/2 to solve for b, which gives a correct solution of b = -30.

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Answer:

the degree of a polynomial is the highest exponent in a term

thus it'd be 7 cuz

2x^3y^4

4 + 3 = 7

Step-by-step explanation:

I think thats write, not completly sure if its wrong lmk

Answer:

Step-by-step explanation:

0.75d + 1.25d.......for 20 days

0.75(20) + 1.25(20) = 15 + 25 = 40 hrs <===

The number of hours Jin reads in 20 days is 39.8 hours.

The expression for the given situation is 0.75d + 1.24d.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

In the given expression 0.75d + 1.24d, d is number of days.

Substitute d=20 in 0.75d + 1.24d, we get

0.75(20) + 1.24(20)

= 15+24.8

= 39.8 hours

Hence, the number of hours Jin reads in 20 days is 39.8 hours.

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Answer:

Y=x+1...written on the line between c and b

Step-by-step explanation:

CB is perpendicular to EF.

The slope is 1, the y intercept is 1

Therefore. Y =mx+B is y=1x+1