What is the area in square units of triangle def?

The number of books Sophia and her brother read is 32 and 8 respectively.

Given that,

The total number of books = 40 books

The number of books Sophia read = 4[The number of books Sophia's brother read]

Assuming that the number of books Sophia's brother read = a

So, the number of books Sophia read = 4a

Thus,

a + 4a = 40

Solving the equation further, we get:

5a = 40

a = 8

The number of books Sophia's brother read = 8 books

Hence, the number of books Sophia read = 32 books

Therefore, The number of books Sophia and her brother read is 32 and 8 respectively.

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To solve inequalities in 9th grade:  simplify the algebraic expressions by combining like terms and isolating the target variable, then applying the mathematic operators.

Inequalities is taught in 9th grade. To solve the inequality:

-  First, simplify the expression: open the parentheses of algebraic expression, combine the terms like, and isolate the target variable.

- Use mathematic operators such as: addition, subtraction, multiplication, and division. All mathematic operations must be done on both sides. Addition and subtraction do not change the inequality. Multiplication and division with positive numbers will not change the inequality.

Multiplication and division with negative numbers will change the sign of the inequality.

Example:

Solve the inequality: 3(x + 2)  <  7x - 18

Step 1: Open the parentheses.

3(x + 2)  <  7x - 18

⇔ 3x + 6 < 7x - 18

Step 2: Subtract both sides with 7x and 6, this operation does not change the inequality sign

3x + 6 - 7x -6 < 7x - 18 - 7x - 6

-4x < -24

Step 3: Divide both sides with (-4). Since we divide with negative numbers, flip the inequality sign.

-4x/(-4) > -24/(-4)

x > 6

Hence, the solution is x > 6

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Answer:

First, we need to simplify the expression by combining like terms. We have -4 + 3x^2-3 and -1. We can combine the like terms -4 and -1 to get -5.

Now, the expression can be rewritten as -5 + 3x^2-3. Next, we need to use the order of operations to evaluate the expression. The first step is to simplify any terms within parentheses, so we simplify 3x^2-3 to 3x^2-3 = 3x^2-3.

Now, the expression can be rewritten as -5 + 3x^2-3. The next step is to perform any multiplication or division, so we multiply 3 with x^2 to get 3x^2.

The expression is now -5 + 3x^2. The last step is to perform any addition or subtraction, so we add -5 and 3x^2 to get 3x^2-5.

Therefore, the answer to the expression is 3x^2-5.

The zero of the polynomial 3x² - 8x + 5​ is x=1 and x= 5/3

A Polynomial is an expression of two or more than two algebraic terms having different exponential powers on the same variable in different terms. An example of a polynomial can be  4x∧3+5x∧2+2x+1=0

The zeroes of polynomials are all the values for the variable that gives the solution of the equation as zero. There are three types of roots real and distinct, equal roots, and non-real roots.

Polynomial is in the form a[tex]x^{2}[/tex]+bx+c=0

where a=3,  b=8 , c=5

b∧2-4ac= 64-4 x 3 x 5 = 4

since b∧2-4ac>0 gives real and distinct roots

now, 3x² - 8x + 5​

=(3x^2-3x)+(-5x+5)

=3x(x-1)-5(x-1)

=(3x-5)(x-1)

∴x-1=0

x=1

and 3x-5=0

x=5/3

Therefore the roots of the equation are 1, 0 and 5/3

The correct question is Which of the following is a zero of the polynomial 3x² - 8x + 5? 0 or 112

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Answer:

The expression below, 4x=20 when x=5.

Step-by-step explanation:

4(5)=20

If a and b are positive integers such that a^3b = x and a^b = y then x/y² is solved to be y

The problem is solved by simplifying and substitution

Simplifying the expression a^3b = x and a^b = y will result to

a^(b3) = x and a^b = y

y^3 = x

substituting y^3 = x into the equation x/y²

= x / y²

= y³ / y²

apply power rule

= y³ ⁻ ²

= y

hence the solution of the equation x/y² while considering that a^3b = x and a^b = y will result to a solution of y

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The percent equivalent to 66 over 165 is 40%.

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

So the percentage actually means a part per 100.

Percentage is usually denoted by the symbol '%'.

We have to calculate the percent of the numbers 66 over 165.

First divide 66 with 165. The multiply with 100 to get the required percentage.

(66 / 165) × 100 = 0.4 × 100 = 40%

Hence the required percentage is 40%.

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Answer:

The probability of heads is equal to the probability of tails.

Based on the box plot concept and the available options, the box plot that correctly represents the data is option A.

Box plot is a term that is used to describe the box and whisker plot which shows the five-number summary of a set of data.

Generally, this five-number summary is the minimum, first quartile, median, third quartile, and maximum.

Make a box plot of the data.

Let's make a box plot for the same dataset from above.

Step 1: Scale and label an axis that fits the five-number summary.

Recall that Q1 = 54, the median is 58, and Q3 = 62

Also, the min is 52 and the max is 64.

Therefore, when we draw the box from Q1 to Q3 and from Q1 to the min, and from Q3 to the max, we have option A as the answer.

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The eight triangle round the triangle measure is a geometric concept which involves the measurement of the angles and sides of a triangle to two decimal places.

Triangle is a geometric figure with three sides and 3 angles it is one of the basics safe in geometry triangle and either write a cute or obtuse depending on the size of each angle the sum of the angle in a triangle is 180 degree. Triangle can be classified into equatorial isosceles,and skelenal triangles, depending on the triangle of the side. All three type of triangle have various application in mathematics physics and engineering.

This is done by using the values of the sides and angles of the triangle to calculate the length and degree measurements of the triangle. The calculation is done using the trigonometric functions of sine, cosine and tangent. By using the values of the sides and angles of the triangle, the measurements of the triangle can be calculated to two decimal places. This method is used to find the exact measurements of a triangle and is quite accurate.

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Answer:

y=4 and x=-1

Step-by-step explanation:

so in the first equation get x by itself so subtract 2x and subtract y and then divide by two so you should have x=1+y/2

then in the second equation plug in 1+y/2 for x

y=7(1-y/2)+11

(distribute) y=7-7y/2+11

y=18-3.5y

(add 3.5y) y+3.5y=18

4.5y=18

divide by 4.5 and y=4

now go back to the first equation and solve for x

4=-2x+2

2=-2x

x=-1

The equation of the line in slope intercept form is y = 1 / 2x - 9 / 2.

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

where

Therefore, the slope of the line is 1 / 2 and the line passes through (5, -2).

Hence,

y = 1 / 2 x + b

let's find the y-intercept using (5, -2)

Therefore,

-2 = 1 / 2 (5) + b

b = -2 - 5 / 2

b =  -4 - 5/ 2

b = -9 / 2

Therefore, the equation of the line is y = 1 / 2x - 9 / 2

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The seconds will take to print the sport rep is 10 seconds.

What is linear equation ?

Linear equation can be defined as the equation in which the highest degree is one.

Given

Periodical Express is a newspaper printing company. They printed 450 copies of The Informer in just 15 seconds.

They next need to print 300 copies of the Sport Report.

If they print at the same rate

Let the number of seconds be x .

so ,

for 450 copies it takes 15 seconds .

than for 300 copies it takes x seconds

than x = 300 * 15 / 450

x = 10

Hence the seconds will take to print the sport rep is 10 seconds.

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Therefore , the solution of the given problem of fraction comes out to be  20  bald eagles are there.

Any quantity of equal portions, or fractions, can be used to represent a whole. In standard English, the quantity of a specific size is stated as a fraction. 8, 3/4. Wholes also include fractions. In mathematics, numbers are represented as the numerator to denominator ratio. These are each integers in simple fractions. There is a fraction in the fraction or denominator of a difficult fraction. Because numerators and numerator and denominator of real fractions differ from one another. A fraction is a total that represents a portion of a whole. By dividing the whole to smaller components, you can assess it. For instance, 12 is employed to denote half of a number.

Here,

You'd get 18 osprey if: a. 2:3 b. 2/3 = 12/x; 

cross multiplying 2x would give you 36 x.

c. You'd have 20 bald eagles if you took the ratio of 2/3 to x/30 and multiplied it by three.

=>2/3 =x/30

=>x = 2*30/3

=> x =20

Therefore , the solution of the given problem of fraction comes out to be  20  bald eagles are there.

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The probability that a randomly selected point within the circle falls in the red shaded area is the fraction 7/11.

Probability is the fraction of the required outcome event divided by the number of possible outcomes of events.

total possible outcome is the area of the circle

the required outcome is the area of the square

area of the circle = (22/7)(4)²

area of the circle = (22/7)(16)

area of the circle = 352/7

area of the square = (4√2)²

area of the square = (4√2)(4√2)

area of the square = 16 × 2

area of the square = 32

probability a randomly selected point within the circle falls in the red shaded area is calculated as follows;

32/(352/7)

changing division to multiplication

32 × 7/352

32 is a factor of 352 and can cancel out

1 × 7/11

7/11

Therefore, the probability a randomly selected point within the circle falls in the red shaded area is 7/11.

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The weekly pay of Howard as an assistant pharmacist in Rockville recruitment is $984.66

The payment for the recruitment agency job = $51,200

The agency fees = 40% of the first three week's pay

Howard's weekly salary can be found using the formula,

                W = A / N

where W is the weekly salary

           A is the annual salary

           N is the number of weeks

Let us substitute the known values in the above equation, we get

              W = 51,200 / 52 [ Total no. of weeks in one year will be 52 weeks]

                   = $984.66

Thus, his weekly pay for Howard as the recruitment agency job is $984.66

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The full question is

The Rockville Employment Agency just placed Howard Jacobson in a job as a junior pharmacist. The job pays $51.2k. The agency fee is equal to 40% of the first three weeks' pay. What is Howard's weekly salary to the nearest cent?

Graphing works as a solution to approximate two equations as the solution(s) to f(x) = g(x) is/re given by the intersection points of the graphs of each of the functions.

A system of equations is composed by multiple equations, and the solutions are the values of x for which all the equations that compose the system have the same numeric value.

Hence, on a graph, the solution of a system of equations is given by the intersection points of all the equations that compose the system on the graph.

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The statement that is correct based on the data will be B. The ratio of smoothie size to mangos used for Bri is the same as the ratio of smoothie size to mangos used for Angela.

Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).

In this case, the ratio of smoothie size to mangos used for Bri is the same as the ratio of smoothie size to mangos used for Angela. This was Illustrated as:

1/8 = 3/24 = 4/32

The correct option is B.

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Answer:

the person above me is incorrect I took the test and redid it and the correct answer is D

Answer: In math, the number 2 is called a "natural number" or "integer." It is the first positive even number and the second positive number in the set of natural numbers (1, 2, 3, 4, ...). The number two is also a base of the binary numeral system, which is used in computer science.

Step-by-step explanation:

We can start solving the problem by using algebra. Let x be the total length of the movie in minutes. Then we know that:

1/3 of the movie is x/3 minutes.

1/5 of the movie is x/5 minutes.

We are told that Joshua watched 1/3 of the movie in the morning and had 1/5 of the movie left to watch at night. Therefore, we can set up the equation:

x/3 + y = x/5, where y is the length of the movie that Joshua watched at night.

We can then solve for y by isolating it on one side:

y = x/5 - x/3

We know that 1/3 + 1/5 = 8/15.

We can simplify by multiplying both sides of the equation by 15:

y = (8/15)*x = 8x/15

We can conclude that Joshua watched 8/15 or approximately 53.33% of the movie at night.

The tennis ball's initial height is 19 feet.

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

Given that, a tennis ball is dropped from a certain height.

Its height in feet is given by h = -16t²+19 where t represents the time in seconds after launch.

Initial height is 0

-16t²+19 =0

16t²=19

t²=19/16

t=√(19/16)

t=√1.1875

t=1.089 seconds

So, the initial height is 19

Therefore, the tennis ball's initial height is 19 feet.

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Answer: I don't get it, there aren't  any numbers

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

i think

False, while co-authoring in Excel enables collaboration and real-time editing, it may not support all advanced features and functionalities available in a single-user environment.

In a co-authoring environment, where multiple users collaborate on an Excel document simultaneously, not all Excel features are supported. While many basic features and functions can be used in a co-authoring setting, certain advanced features may not be fully compatible or functional.

Co-authoring in Excel typically supports common features such as data entry, formatting, basic calculations, and simple formulas. However, features that involve complex dependencies, extensive macros, advanced charts, or specialized add-ins may not function as expected or may be disabled in a co-authoring scenario.

It's important to note that the specific features supported in a co-authoring environment can vary depending on the version of Excel being used, the collaboration platform, and any restrictions or limitations set by the administrator or hosting service.

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Number 43 is representing a prime number as it has only two factors one and 43 itself.

As given in the question,

Given number is equal to :

43

Prime numbers are such numbers which has only two factors one and the number itself.

Prime numbers does not get divided by any other integer.

Factors of 43 are equals to :

1 and 43.

43 does not exactly get divided by any other integer.

Here 43 satisfy the property of a prime numbers.

Therefore, number 43 is considered as a prime number because it has only two factors one and the number 43 itself.

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The given statement justifies the additive property of equality.

When the same quantity is added to both sides of an equation, the equation remains true, which is known as the addition property of equality. One of the basic characteristics of equality in mathematics, it is also highly significant.

Equations are solved using the addition condition of equality.

The additive property of equality states that:

If a=b and c=d, then.

a+c = b+d.

The given statement also depicts the additive property.

Hence, the prove statement depicts the additive property of equality.

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Answer:

He is 8.25 miles down the path

Step-by-step explanation:

the precent proportion would be

P/12.5 = 70/100

Answer:

|5 -4|

| |

|9 -3|

Step-by-step explanation:

Answer:

Part 1

[tex]\boxed{r = 8.9 \;cm}[/tex]

Part 2

[tex]\boxed{SA=995.4\;cm^2}[/tex]

Step-by-step explanation:

If r is the radius of a sphere

Volume of a sphere:
[tex]V = \dfrac{4}{3}\pi r^2[/tex]

Surface Area
[tex]SA = 4\pi r^2[/tex]

Part 1
We are given volume = 3,000 cm³

Setting this to volume to the equation for volume gives
[tex]3000 = \dfrac{4}{3} \pi r^3\\\\[/tex]

Multiplying both sides by 3/4 yields

[tex]\dfrac{3}{4}\cdot 3000 = \pi r^3\\\\2250 = \pi r^3\\\\r^3 = \dfrac{2250}{\pi}\\\\r^3 \approx 716.1972\\\\\\r = \sqrt[3]{716.1972} \\\\r = 8.947\\\\\\\textrm{Rounded to the nearest tenth:}\\\\\boxed{r = 8.9 \;cm}\\\\\text{(Answer\;Part 1)}\\[/tex]

Part 2

Using r = 8.9 cm we can compute the surface area SA using the formula for surface area

[tex]SA = 4\pi r^2\\\\SA = 4\pi (8.9)^2\\\\SA = 995.38\;cm^2\\\\\textrm{Rounded to the nearest tenth:}\\\\\boxed{SA=995.4\;cm^2}\\\\\textrm{(Answer Part 2)}[/tex]