250/100 in simplest form

The lines or angles with measure must be true for the lines and angles.

To predict the truthfulness of the statements, we must understand the concept of congruency. Any two entities will be congruent if they measure the same. In the question, the line AN will be congruent to line segment LB and line NC will be congruent to line BZ.

Similarly, the angle measurements should also be same to the angles to be congruent. In case of same angles, the Angle BMZ will be congruent to Angle CMZ and Angle ZBM will be congruent to Angle ZCM.

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Answer: D

Step-by-step explanation:

The least amount possible is $25 and the number of miles is 25 miles

From the question, we have the following parameters that can be used in our computation:

Yellow Taxi service charges a $15 flat fee plus $2.50

This means that

Yellow Taxi: y = 15 + 2.5x

For the graph, we have

y-intercept = 10

(x, y) = (0, 10) and (2, 16)

So, the slope is

slope = (y₂ - y₁)/(x₂ - x₁) = (16 - 10)/(2 - 0) = 3

So, we have

Black and White Taxi service: y = 10 + 3x

Yellow Taxi: y = 15 + 2.5x

When he travels for 5 miles, we have

Black and White Taxi service: y = 10 + 3 * 5 = 25

Yellow Taxi: y = 15 + 2.5 * 5 = 27.5

Hence, the least amount possible is $25

This means that we equate the above equations

So, we have

15 + 2.5x = 10 + 3x

Evaluate the like terms

0.5x = 5

Divide

x = 25

Hence, the distance is 25 miles

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Let the number of pens be p and number of pencil cases be c.

Use given information and set inequality:

Simplify it by dividing all terms by 20:

If number of pens is more than 100, we get:

Substitute this into inequality:

If Dona sells more than 100 pens then she will exceed php 2000 regardless the number of pencil cases sold.

The final scores will be dependent on the prior ones.

What is combination?

A combination is a choice made in mathematics from a group of different elements when the order of the choices is irrelevant (unlike permutations). For instance, if three fruits, such as an apple, an orange, and a pear, are supplied, there are three possible pairings of the two: an apple and a pear. Formally speaking, a k-combination of a set S is a subset of S's k unique components. In other words, two combinations are the same if and only if they have the same members. (It is not important how the individuals in each set are arranged.) The quantity of k-combinations for a set with n components

raw scores for as long as possible before assigning a letter grade to a student.

Because the final scores will be dependent on the prior ones.

Hence The final scores will be dependent on the prior ones.

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In order to dilate something on a coordinate plane, multiply the coordinate with the scale factor. This process is known as mapping.

What is a dilation?

Dilation is a process of altering a thing. It is a process of renewal that to make the objects smaller or larger, with the use of specific scale factor.

The new figure that is the result of dilation is known as the image. Initial figure is referred to as the pre-image.

What is a center of dilation?  

Center of dilation is the resizing that happens from a point. The objects/figures are expanded or contracted from the center of dilation.

Scale factor is a figure by which the size of any geometrical figure can be resized, with respect to its original size. The scale factor is multiplied to get image.

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The solution is

The width of the rectangular aluminum foil whose area is 11 1/4 inches is

2 1/2 inches

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the width of the aluminum foil be represented as = W

Now , the equation will be

The area of the aluminum foil is A = 11 1/4 inches²

The value of A = 11 1/4 inches²

The value of A = 45/4 inches²

Now ,

The length of the aluminum foil L = 4 1/2 inches

The value of L = 4 1/2 inches

The value of L = 9/2 inches

Now , from the equation of area of rectangle

Width of the rectangle W = Area of rectangle A / Length of rectangle L

Substituting the values in the equation , we get

Width of the aluminum foil W = ( 45/4 ) / ( 9/2 )

Width of the aluminum foil W = ( 45/4 ) x ( 2 / 9 )

Width of the aluminum foil W = 5 / 2 inches

Width of the aluminum foil W = 2 1/2 inches

Therefore , the value of W is 2 1/2 inches or 5/2 inches

Hence , The width of the rectangular aluminum foil is 2 1/2 inches

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Answer:

Leopard: 60 lb

Lion: 420 lb

Step-by-step explanation:

Let x = weight of leopard.

Weight of lion = 7x.

Sum of the weights = x + 7x = 8x

Total weight = 480 lb

8x = 480

x = 60

7x = 7 × 60 = 420

Answer:

Leopard: 60 lb

Lion: 420 lb

Answer: shown below

Step-by-step explanation:
x = 7y

x+y+ 480

7y+y = 480

8y = 480

y = 480/8 = 60 pounds for the leopard

x = 7(60) = 420 pounds for the lion

The dilation will change the size of the figure, so it can be getting bigger or smaller

The dilation is the process of changing the size of the figure, but the shape of the figure will be same. Therefore we can say that the dilation is one form of the transformation of the figure

The dilation can be increase the size or decrease the size

If you consider the case of dilation with scale factor, when the scale factor is greater than 1  the size will be bigger and if the scale factor is between 0 and 1 the size will be smaller than original size

Therefore, the dilation can be getting bigger or smaller

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The side opposite the larger angle is larger and you know that MN>NP, so the angle O's measure is more than the angle Q's measure.

Describe angle.

Two rays that have a common terminal and are referred to as the angle's sides and vertices, respectively, make up an angle in Euclidean geometry. Two rays can form angles in the plane where they are positioned. Angles are also produced when two planes intersect. These are what are known as dihedral angles.

Here,

Greater is the side that is on the other side of the greater angle.

MN>NP.

Consequently, the measure of angle O is greater than angle Q's measure.

Option D is correct since MN>NP is true and the side that opposes the bigger angle is larger. The measure of angle O is therefore greater than the measure of angle Q.

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Answer: 60

6 x 10 is 60 and a negative times a negative is positive.

Answer: 60 hope this helps

Integers are closed under addition by all the properties. Hence, the answer is True.

Integers are set of zero, positive, and negative numbers. The set of integers is represented by the symbol ‘Z’.

Z= {……-8,-7,-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8,……}

To check if the integers are closed under addition or not we will check out the four properties namely, the closure property, the commutative property, the associative property, and the distributive property.

Let us consider each property one by one -

1. The closure property-

let's take two integers say 5 and 2.

now 5+2=7, but -2+5= -3 which is an integer.

Thus, integers are closed under addition by closure property.

2. The commutative property-

let's take two integers say 5 and 2.

now 5+2=7 and 2+5=-7

hence, we get 2+5 = 5+2.

Thus, integers are closed under addition by commutative property.

3. The associative property-

let's take three integers say 5, 3, and 2.

now (5+3)+2 = 10 and 5+(3+2)= 10

hence, we get (5+3)+2 = 5+(3+2).

Thus, integers are closed under addition by associative property.

4. The distributive property-

let's take three integers say -2, 6, and 5.

now, -2 × ( 6 + 5 ) =  -2 × 6 + (-2) × 5  = -12 - 10 = -22

        and -2 × ( 6 + 5 ) = -2 × 11 = -22

Hence, -22 = -22

Thus, integers are closed under addition by distributive property.

Hence, we can conclude that integers are closed under addition by all the properties.

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The complete question is-

Are Integers closed under addition. True or false?

Answer:

The cellular plan allows you to use 4 gigabytes and charges you a flat $90. After 4 gigabytes have been used then, every gigabyte after that is an extra $20.

The student that is correct is George as the ratio of pools open on weekends to the total number of pools is 6:16.

Ratio is the relationship between two or more numbers. It is the number of times that one value is contained within other value(s). The sign that is used to represent ratio is :.

In order to determine the ratio between the number of pools open on the weekend to the total number of pools express the numbers that represent each value as ratios.

This will be:

= number of pools open on weekends: total number of pools

= 6 : 16

George is correct.

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The time taken to reach $1000000 with an interest rate in a mutual fund of 8% compounded monthly is about 64 years and 2 months.

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

P = $6000

r = 8%

n = 12

A = $1000000

Now,

1000000 = 6000 [tex](1 + 0.08/12)^{12t}[/tex]

1000/6 = [tex]1.0067^{12t}[/tex]

log on both sides.

log 166.67 = 12t log 1.0067

2.22 = 12t x 0.0029

12t = 2.22 / 0.0029

12t = 765.52

t = 765.52/12

t = 64.163 years

This means,

About 64 years and 2 months.

Thus,

The time taken to reach $1000000 is 64 years and 2 months.

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Solving the word problems, Sandy has 1.5 more bucket of apple than Keith and Jayson has saved 15/4 month of worth pay

This is often a mathematical problem expressed entirely in words typically used as an educational tool.

To solve this type of problem, we have to translate the words into algebraic expressions or equations and solve for the unknown variables.

1)

Keith = 2 5/6 bucket of apples

Sandy = 4 1/3 bucket of apples

We have to convert this from mixed fractions into improper fraction

Keith = 2 5/6 = 17/6 bucket of apples

Sandy = 4 1/3 = 13/3 bucket of apples

To determine how many more bucket of apples Sandy picked than Keith, we simply need to subtract the fractions from one another.

13/3 - 17 / 6 = 3/2 = 1.5

Sandy picked 1.5 more than Keith

2)

To determine how much Jayson has, we simply need to sum up all his money which will be

2 1/2 + 1 1/4

Let's convert the mixed fractions into an improper fraction

2 1/2 + 1 1/4 = 5/2 + 5/4 = 15/4

Jayson saved 15/4 months worth of pay

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The number of nickels and dimes Latanys have is 10 and 14.

An equation is a mathematical statement of two expressions connected by an equal sign.

We have,

Total coins = 24

$1 = 20 nickels

$1 = 10 dimes

Now,

Number of nickels = N

Number of dimes = D

Now,

N + D = 24 ____(1)

N = 24 - D _____(2)

0.05N + 0.1D = 1.90 ____(3)

Putting (2) in (3) we get,

0.05(24 - D) + 0.1D = 1.90

1.2 - 0.05D + 0.1D = 1.90

0.05D = 1.90 - 1.2

0.05D = 0.7

D = 0.7 / 0.05

D = 14

Now,

N = 24 - D

N = 24 - 14

N = 10

Thus,

The number of nickels is 10.

The number of dimes is 14.

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We need to use 7 terms to estimate the value of ln(1.4) to within 0.0001.

A Maclaurin series is a function that is used to estimate the values functions, evaluate the sum, or determine the value of the anti-derivative of a function.

We have:

f(x)=ln(1+x)

Expansion of In(1+x) up to seven terms is:

In(1+x) = x - x^2/2 + x^3/3 - x^4/4 + x^5/5 - x^6/6+ x^7/7

Where it is known that -1 <= x <= 1

Put x=0.4 in the above series:

ln(1.4) = 0.4 - 0.4^2/2 + 0.4^3/3 - 0.4^4/4 + 0.4^5/5 - 0.4^6/6+ 0.4^7/7

We get:

ln(1+4) = 0.3365333

Therefore,  we need 7 terms to estimate the value of ln 1.4 to within 0.0001.

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Answer:

Step-by-step explanation:

the answer is b the arrow BD make angels equal in both sides

Answer:

the volume of the space left in the larger box for packing materials is 1000 - 512 = 488 cubic inches.

Step-by-step explanation:

To find the volume of the space left in the larger box for packing materials, we first need to calculate the volume of the smaller cube and then subtract it from the volume of the larger box. The volume of a cube with side length s is given by s^3, so the volume of the smaller cube with side lengths of 8 inches is 8^3 = 512 cubic inches. The volume of the larger box with side lengths of 10 inches is 10^3 = 1000 cubic inches

Answer: 1 13/ 20

Step-by-step explanation:

first multiply 2 1/5 and 1 3/4 you will get 3 17/20then subtract from 3 17/20 - 2 1/5 you will get 1 13/20

The value of the inequality will be;

⇒ x ≤ 2 1/2

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ 3 1/2 ≥ 1.4x

Now,

Since, The inequality is,

⇒ 3 1/2 ≥ 1.4x

Hence, Solve for x as;

⇒ 7/2 ≥ 1.4x

⇒ 3.5 ≥ 1.4x

⇒ 3.5/1.4 ≥ x

⇒ 35/14 ≥ x

⇒ 5/2 ≥ x

⇒ x ≤ 2 1/2

Thus, The value of the inequality for x is;

⇒ x ≤ 2 1/2

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It takes 3.33 hours of time to travel a distance of 150 km by bus

The problem is related to time, which basically depends on the speed at which the bus is moving, as we knew the formula for time is distance/speed, here we are provided with the distance which is  150km also equal to 150000m. For normal conditions where the speed of  the bus is h 45km per hour, therefore

=>Distance = Speed × Time

=>150km = 45 Km/hr × Time

Time = 150/45 hr = 3.33 hr ,Which is almost 3.33 hours

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The length of the perimeter is 44cm if the area of a rectangle is 105sq in and length of one of the side is 7 in.

A perimeter is a closed path that encompasses, surrounds, or delineates something, whether it be a two-dimensional shape or a one-dimensional length. The outermost border of an ellipse or circle is its circumference.

Knowing the perimeter is helpful in a variety of circumstances. Calculated perimeter refers to the length of fence required to entirely enclose a yard or garden.

Given,

Area of a rectangle=105cm²

And also given that,

Width w=7cm

Area= Length× Width

Length=Area/Width

Length-105/7

Length=15cm

Here, Now we have to calculate the perimeter of a rectangle

Perimeter=2(Width+ Length)

Perimeter=2(7cm+15cm)

Perimeter=44cm.

Hence, the length of the perimeter is 44cm.

Therefore, the length of the perimeter is 44cm if the area of a rectangle is 105sq in and length of one of the side is 7 in.

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a) The scatter plot and the line of fit are given on the second image shown at the end of the answer.

b) The linear function is defined as follows: y = 1.75x + 168.

The linear function is defined in the slope-intercept format, as follows:

y = mx + b.

In which:

Considering the data for 2009 and for 2017 from the table, taking x as the number of years since 2005, two points are given as follows:

(4,175) and (12, 189).

The slope, given two points, is calculated as the division of the change in y divided by the change in x, hence:

m = (189 - 175)/(12 - 4) = 14/8 = 1.75.

Hence:

y = 1.75x + b.

When x = 4, y = 175, hence the intercept b is calculated as follows:

175 = 1.75(4) + b

b = 168.

Then the line of fit is:

y = 1.75x + 168.

The scatter plot is composed by all the points of the data-set, considering x as the number of years since 2005, hence:

(0, 169), (2, 175), ... (12, 189).

The table is given by the first image at the end of the answer.

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x=-9/2 and y=17/4 are the solution to the system of linear equations.

Two or more expressions with an Equal sign is called as Equation.

The system of linear equations are:

y=-5/2x-7..(1)

x+2y=4...(2)

x=4-2y

Subtract x value in equation 1.

y=-5/2(4-2y)-7

y=-20/2+5y-7

y=-10+5y-7

y=5y-17

Subtract both sides by 5y

y-5y=-17

-4y=-17

Divide both sides by 4

y=17/4

Now add y value in equation 2.

x+2(17/4)=4

x+17/2-4=0

x+9/2=0

x=-9/2

Hence, x=-9/2 and y=17/4 are the solution to the system of linear equations.

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Answer: D

Step-by-step explanation:

The line is positive and not very steep. For slope, 13 is too steep, -13 and -3 are negative. It must be y-5=3(x-1), which has an accurate slope of 3.

The area of figure will change quadratically in proportion to length squared when a scale factor is applied

A scale factor is simply a number that multiplies a shape's dimensions. This can enlarge a shape. The scale factor for larger shapes will be greater than one. So, if the scale factor is three, the new shape's dimensions will be three times larger than the original.

A scale factor can also reduce the size of a shape. Smaller shapes have a scale factor that is less than one.

When you dilate a figure, it becomes larger or smaller

With a certain factor, the length of its sides either increases or decreases.

As a result, a change in length will affect the total area of the figure with that scale factor.

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