Sal cuts a piece of yarn into 3 equal lengths. He cuts 5 inches off one piece leaving 4 inches. What was the length of the yarn

Answer: (0,-4) (4/3,0) (1,-1)

Step-by-step explanation: equation y=3x-4

here we will use when x=0

y = 3(0) -4

y = -4

when y = 0

0 = 3x -4

3x = 4

x = 4/3

when x=1

y = 3(1) -4

y = -1

The point-slope equation of the line is: y - 8 = 3(x + 2).

The point-slope form of a line is given by the equation y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

Given the slope of the line is 3 and the point (-2, 8) lies on the line, we can substitute these values into the point-slope form to find the equation of the line.

y - 8 = 3(x + 2)

Simplifying, we can rewrite in slope-intercept form as:

y = 3x + 14

Therefore, the point-slope equation of the line with a slope of 3 that goes through the point (-2, 8) is y - 8 = 3(x + 2).

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Answer: The sum of the measures of the interior angles of a polygon can be found using the formula:

(n-2) * 180

Where n is the number of sides in the polygon.

For a 12-sided polygon (dodecagon), the sum of the measures of the interior angles would be:

(12-2) * 180 = 10 * 180 = 1800 degrees

Step-by-step explanation:

The height of the Statue of Liberty replica at the gift store is 7.55 inches

An equation is an expression showing the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on depending on the degree.

Scaling is used to increase or decrease the size of a figure by a scale factor.

The scale factor is 1 inch = 20 feet. If the height of the statue is 151 feet, hence:

Height of the replica = 151 feet * 1 inch per 20 feet = 7.55 inches

The height of the replica is 7.55 inches

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Answer:

A

Step-by-step explanation:

Eating a poor diet can have harmful effects on people's health.

Answer:

A.  Eating a poor diet can have harmful effects on people's health. 

Step-by-step explanation:

right on edge

The number of entry codes will be 720.

The different ways in which items from a set may be chosen, usually without replacement, to construct subsets, are called permutations and combinations.

When the order of the selection is a consideration, this selection of subsets is referred to as a permutation; when it is not, it is referred to as a combination.

Given that you must first choose 3 letters and​ then, 3 ​single-digit numbers.

The number of arrangements will be calculated as,

Codes = 6!

Codes = ( 6 x 5 x 4 x 3 x 2 x 1 )

Codes = 720

Hence, the combination of the code will be 720.

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Therefore , the solution of the given problem of dimensional comes out to be volume of given dimension is  162 inch cube

a three-dimensional figure is one with measurements in one or more directions, particularly height, length, or breadth. Two-dimensional When two variables are connected. Similar to how we are asked to locate a space ,Then, it depends on two variables: length and width.

Here,

Given dimensions :

=> length = 3 inch , width = 6 inches and height = 9 inches.

=> Volume = l*b*h

=>  Volume =  3* 6* 9

=> Volume =  162 inch cube

Therefore , the solution of the given problem of dimensional comes out to be volume of given dimension is  162 inch cube

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The value of sec(A) is 2/√(13) in simplified form, in the standard position.

What is the point of intersection?

When the lines intersect, the point of intersection is the only point that the two graphs have in common, so the coordinates of that point are the solution for the two variables used in the equations.

The terminal ray of an angle in standard position passes through the point (x,y) in the coordinate plane, where x and y are the coordinates of the point of intersection of the terminal ray with the x-axis and y-axis respectively.

Given that the terminal ray of angle A passes through the point (-6,4)

The coordinates of the point of intersection of the terminal ray with the x-axis are (-6,0) and y-axis are (0,4)

Using the distance formula

The distance from the origin to the point (-6,4) is √((-6-0)^2 + (4-0)^2) = √(6^2 + 4^2) = √(36 + 16) = √(52) = 2*√(13)

Now we can use these coordinates to find the value of sec(A) which is defined as sec(A) = 1/cos(A) = distance of point from x-axis/distance from origin.

sec(A) = 4/2*√(13) = 2/√(13)

hence, the value of sec(A) is 2/√(13) in simplified form, in the standard position.

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Option B is a correct representation of the given number line,  -3.8 < 1.5, and is located to the left of 1.5.

A number line is a visual depiction of numbers on a straight line drawn either horizontally or vertically. It is simple for humans to compare numbers and carry out simple arithmetic operations on them when they are written down on a number line. A number line is thought to begin at zero (0). Left of zero, there are only negative numbers, and right of zero, there are only positive numbers.

Given a number line and two points marked on it,

-3.8 and 1.5

we find from the number line that -3.8 lie left to 1.5,

and the negative numbers are always less than the positive numbers,

so -3.8 is less than 1.5,

-3.8 < 1.5, and lie left to 1.5.

Hence, option B is correct.

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Answer:

Should be 87.92 inches

Step-by-step explanation:

First calculate the circumference of the circle - this is the length of the rectangle. The rest should be straight forward.

C = 2πr

= 2 * 3.14 * 2

= 12.56

A(circle) = πr^2

= 3.14 * (2)^2

= 12.56

A(rectangle) = lw

= 12.56 * 5

= 62.82

SA = area of rectangle + area of circle + area of circle

= 62.82 + 12.56 + 12.56

= 87.92

Answer:

B. 12

Step-by-step explanation:

you’ll have to divide

2916/243 = 12

Answer: B. 12

Step-by-step explanation: 2,916 ÷ 243= 12

Answer:

first option

Step-by-step explanation:

integers are like whole numbers but can also be negative

Answer:

A

Step-by-step explanation:

If line ST exists congruent to line SV, TU=w+10, and UV=2w then the value of w exists 10.

If two line segments are congruent to one another and are the same length, then they are said to be equal. The angles they make with an axis or location in the plane may or may not be the same.

Congruence between two line segments indicates that their lengths are equal. Two shapes are said to be congruent if they correspond throughout if you take one up and place it on the other (they will match up perfectly and you will not be able to see the one on the bottom).

If line ST exists congruent to line SV, TU = w + 10, and UV = 2w.

TU = UV

substitute the values of TU and UV in the above equation, we get

w + 10 = 2w

simplifying the equation, we get

w = 2w - 10

-w = -10

Divide both sides by -1

[tex]$\frac{-w}{-1}=\frac{-10}{-1}$$[/tex]

w = 10

Therefore, the values of w exists 10.

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The original number is 27

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

Let x be  the 10's digit
let y be  the units digit

Given: A two digit number is 3 times the sum of it's digits.

=> 10x + y = 3(x+y)

10x + y = 3x + 3y

10x - 3x = 3y - y

7x = 2y......(1)

Given: The number is also 45 less than the number formed by reversing the digits and the original number.

=> 10x + y = 10y - x - 45

10x - x = 10y - y - 45

9x = 9y - 45

divide both sides by 9

x = y - 5............(2)

replace x with (y-5) in the equation 1

7(y-5) = 2y

7y - 35 = 2y

7y - 2y = 35

5y = 35

y = 35/5

y = 7 is the units digit (original number)

and

x = 7 - 5

x = 2 is the 10's digit

Thus, the original number is 27

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Answer: 16/5 or 3.2 or 3 and 1/5

Step-by-step explanation:

Answer:

We can start by using the information provided to calculate how many laptops of each size the company can manufacture within the 480 hours available:

15-inch laptops: 480 hours / 3 hours per laptop = 160 laptops

17-inch laptops: 480 hours / 5 hours per laptop = 96 laptops

With the 480 hours available and the number of laptops that can be manufactured, we can calculate the total amount of memory that can be used:

15-inch laptops: 160 laptops x 256 GB per laptop = 40,960 GB

17-inch laptops: 96 laptops x 512 GB per laptop = 49,152 GB

Since the company has 43,520 GB of memory available, it can manufacture:

15-inch laptops: 43,520 GB / 256 GB per laptop = 170 laptops

17-inch laptops: 43,520 GB / 512 GB per laptop = 85 laptops

The company can manufacture 170 15-inch laptops and 85 17-inch laptops.

Now, we can calculate the profit that the company can make:

15-inch laptops: 170 laptops x $2000 per laptop = $340,000

17-inch laptops: 85 laptops x $3000 per laptop = $255,000

So, the company can make a total profit of $595,000 from the 170 15-inch laptops and 85 17-inch laptops.

The company can manufacture 170 15-inch laptops and 85 17-inch laptops, and make a total profit of $595,000.

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

It misses a decent amount of the data. When you plot the line y=10x there are about 8 points that are over the line and none below so it is not a good fit for the data

So the cost for zookeeper education is $13,932.5

What is a fraction?

A fraction represents a part of a number or any number of equal parts. There is a fraction, containing numerator(upper value) and denominator(lower value).

To calculate the cost for zookeeper education, we need to multiply the total budget for animal care by 1/6.

83,595 x 1/6 = 13,932.5

So the cost for zookeeper education is $13,932.5.

Explanation:

1/6 of the budget, which is expressed as a fraction, is the same as dividing the budget by 6.

So we can use the formula 83,595 / 6 = 13,932.5, the result is the cost for zookeeper education.

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Height of the tree = 60 feet

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

Given,

Height of the person = 6 feet

Length of the shadow of person = 10 feet

Length of the shadow of the tree = 100 feet

Tree and person at distance of 90 feet

let 'h' be the height of the tree

Triangles made by Tree, the person and the shadows are similar

the following proportion counts

h : 6 = 100 : 10

h = (6×100)/10

h = 60 feet

the tree is 60 feet high.

Hence, 60 feet is the height of the tree.

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Answer:

y = 2x - 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (5, 7 ) and (x₂, y₂ ) = (3, 3 )

m = [tex]\frac{3-7}{3-5}[/tex] = [tex]\frac{-4}{-2}[/tex] = 2 , then

y = 2x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (3, 3 ) , then

3 = 2(3) + c = 6 + c ( subtract 6 from both sides )

- 3 = c

y = 2x - 3 ← equation of line

Answer:

84.68

Rounded to the nearest 0.01 or

the Hundredths Place.

Step-by-step explanation:

84.68_

You rounded to the nearest hundredths place. The 8 in the hundredths place rounds down to 8, or stays the same, because the digit to the right in the thousandths place is _.

84.68

When the digit to the right is less than 5 we round toward 0.

84.68 was rounded down toward zero to 84.68

Answer:

1) Linear, negative slope: -4/3  2) Slope: 3  3) Slope: -6, y-int: +2

Step-by-step explanation:

1. Slope = rise/run = [tex]\frac{3-(-1)}{-2-1} = -\frac{4}{3}[/tex]

2. Slope = rise/run (just pick 2) = [tex]\frac{1-(-2)}{1-0} = 3[/tex]

3. The breakdown is pretty simply just follow the slope formula y=mx + b thus m = slope = -6 and b= y-int = +2

The distance from the bottom of the ladder to the base of the building is 39.6ft.

What is the Pythagorean theorem in plain English?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse.

This is a question about the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.

We can call the distance from the bottom of the ladder to the base of the building as x, and the distance between the ladder base and the building as the ladder's height = h.

By using Pythagorean theorem: x^2 + h^2 = 72^2 , the distance from the bottom of the ladder to the base of the building is x = √(72^2 - 60^2) = √(5184 - 3600) = √1584 = 39.6 ft.

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For 86 days Jose had volunteered.

What are equivalent ratios?

The ratios that are same when compared are called equivalent ratios. The equivalentity of two or more ratios can be determined by comparing them to one another. For instance, 1:2 and 2:4 have the same ratio.

A unit rate is a cost for only one of anything. This is expressed as a ratio with a denominator of 1. For instance, if you covered 70 yards in 10 seconds, you did so at an average speed of 7 yards per second. Although both of the ratios—70 yards in 10 seconds and 7 yards in one second—are rates, only the latter is a unit rate.

Let x be the total days

equate the ratios of days and hours as shown:

x/34.4 = 1/0.4

=> x= 34.4/ 0.4 = 86

So, for 86 days Jose had volunteered.

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Answer: he could have 8 pieces

Step-by-step explanation:

well you have 8 feet and if you need to get as many feet  cut out  well just do 8 divided by 1 and that is 8 and theres your qoutiont

Answer:

12y² - 32

Step-by-step explanation:

4y² + 4(2y² - 8) = 4y² + 8y² - 32 = 12y² - 32

Answer:

x+5y = 4 i think its the answer but I'm not sure

The function that models the distance they drive as a function of time is; 120 = 50t + 20

The required domain is;. 0 ≤ t ≤2

The formula for calculating distance travelled is expressed as:

Distance = Speed × time

The parameters are;

Total distance = 120 miles

Distance already travelled = 20miles

They are driving at a constant rate of 50mi/hr. Thus, the distance travelled at the time "t", during this period will be 50t.

The equation of a line in slope intercept form is;

y = mx + c

Thus,

The required function that models the distance is expressed as;

120 = 50t + 20

To find the domain, we need to get the value of t as shown;

120 = 20 + 50t

120 - 20 = 50t

100 = 50t

t = 100/50

t = 2sec

Hence the required domain must be within the range of 0 and 2.

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Answer: 4[tex]x^{2}[/tex]

Is The answer.

The solution is, The correct answer is option B). 7x² -12x√14 + 72

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

we know that,

Identity

(a - b)² = a² - 2ab + b²

Find the product

It is given that ( x√7 - 3√8)(x√7 - 3√8)

(x√7 - 3√8)(x√7 - 3√8) =  (x√7 - 3√8)²

(x√7 - 3√8)² =  (x√7)² - 2*x√7*3√8 +(3√8)²

= 7x² - 6x√56 + 72

= 7x² - 6x*2√14 + 72

= 7x² - 12x√14 + 72

Therefore the correct answer is option B).  7x² - 12x√14 + 72

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Complete question:

What is the following product?

( x√7 - 3√8)(x√7 - 3√8)