Mathematics College

Question
The product of two consecutive odd integers is 99. Find the integers. Answer only with the positive integers. For example, if
the integers are 8, 10 and -8, -10, then answer 8, 10.
Provide your answer below:
n=
n =

Answers

Answer 1

Answer: n= 9 and n=11

Step-by-step explanation:

Assume that x is the lesser of the two numbers. The second figure must be x+2.

Since x*(x+2) = 99, we know that

x^2 + 2x - 99 = 0

We obtain x = 11 and 9 by searching for the roots of this equation.

This can also be resolved in the following ways:

We are aware that the two numbers (x and x +2) are consecutive odd numbers. Since x * (x + 2) = x2 + 2x, the value of x must be near to the square root of 99.

The squares 81 and 100 are the ones closest to the number 99. Additionally, we know that x * (x+2) is bigger than x2 (by a factor of 2x), therefore x must equal 9 and x+2 must equal 11.

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Related Questions

Y=-3x-17 and y=x-1
Solving linear systems by substitution

Answers

Answer:

x = 8, y = 7

Step-by-step explanation:

The two equations are

y = 3x - 17 [1]

y = x -1 [2]

Substitute y = x - 1 in the first equation

x - 1 = 3x - 17

==> x - 3x = -17 + 1

==> -2x = -16

==> x = -16/-2 = 8

Sub for x in [2]

y = 8 - 1 = 7

Suppose that for each foot of land along a street, the
annual tax is $12 per foot. The diagram below shows a
plot of land.
800
46 ft
28 At
A
Street
Approximately, how much is the annual tax for the plot?

Answers

The annual tax for the plot based on the triangle and the side lengths is $1488

How to determine how much is the annual tax for the plot?

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

Annual tax per foot = $12

Shape of the land = Triangle

Parameters of the triangle are represented as

Angle between sides = 80 degrees

Sides = 46 ft and 28 ft

The side represented as "Street" is calculated as

Street = The square root of Sum of the squares of the other sides - 2 * the product of the other sides * the cosine of the angle between them

Mathematically, this is represented as

Street = √46² + 28² - 2 * 46 * 28 * cos(80)

Evaluate

Street = 50

So, the perimeter of the land is

Perimeter = 50 + 46 + 28

Perimeter = 124 foot

Recall that:

Annual tax per foot = $12

So, we have

Yearly annual tax per foot = $12 * 124

Evaluate

Yearly annual tax per foot = $1488

Hence, the yearly annual tax per foot = $1488

Answers

Here is the completed table:

Taco 3 9 13.5

Sour cream 2 6 9

The amount of taco seasoning that is needed to make 15 cups of sour cream is 22.50 teaspoons.

What is the ratio of taco to sour cream?

Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within other value(s).

Given the information in the table, the amount of taco seasoning needed for 1 cup of sour cream is 2/3.

The amount of sour cream needed for 1 teaspoon of taco seasoning is 3/2.

The teaspoon of taco seasoning needed for 9 cups of sour cream : 3/2 x 9 = 13.5 teaspoons

Cups of sour cream needed for 9 teaspoons of taco seasoning : 2/3 x 9 = 6 cups

The teaspoon of taco seasoning needed for 15 cups of sour cream : 3/2 x 15 = 22.50

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simplify the expression.
-5(2x-7) -3x

Answers

Answer: -13x+35

Hope this helps! :)

Step-by-step explanation:

-5(2x-7)-3x

(1. Distribute)

-10x+35-3x (2 negatives make a positive when multiplying and dividing)

(2. Combine like terms)

-13x+35 (Add the negatives)

Find the domain of where f(x) = x + 10 and g(x)=x².

Answers

The domain of the function f(x)=x+10 is (-∞, ∞) and for the function g(x)=x² is (-∞, ∞).

What is meant by domain?

If a formula specifies a real function f, it may not be defined for some values of the variable. The natural domain or domain of definition of f is the set of real numbers on which the formula can be evaluated to a real number in this case. A partial function is often referred to just as a function, and its natural domain is referred to simply as its domain.

Given, f(x) = x + 10

g(x)=x²

The domain for the function f(x)=x + 10

So, the domain of f(x)=x+10 is (-∞, ∞)

The domain for the function g(x)=x²

The expression's domain is only real numbers, with the exception of places where it is undefined. Because there is no real number in this scenario, the expression is undefined.

So, the domain of the function g(x)=x² is (-∞, ∞)

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Find the missing angle:

RPQ:________

Answers

The missing angle RPQ between the intersected chord is 115 degrees.

How to find the angle between intersected chord?

The intersecting chords theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle

If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

Therefore,

∠RPQ = 1 / 2 (arc angle RQ + arc angle SA)

arc angle RQ = 175 degrees

arc angle SA = 55 degrees

Hence,

∠RPQ = 1 / 2 (175 + 55)

∠RPQ = 1 / 2 (230)

∠RPQ = 115 degrees.

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100-44+891-812+56/ 1/2

Answers

Answer:

93.5

Step-by-step explanation:

what is 6/7 closest to 0,1 or 1/2?

Answers

Answer:

Step-by-step explanation:

Because 0 is nothing 1 is equal to 7/7 and 1/2 is equal to 3.5/7 so 7/7 is closer to 6/7

A college is currently accepting students that are both in-state and out-of-state. They plan to accept four times as many in-state students as out-of-state, and they only have space to accept 100 out-of-state students. Let x = the number of out-of-state students and y = the number in-state students. Write the constraints to represent the incoming students at the college.

x > 0 and y > 0
0 < x ≤ 100 and 0 < y ≤ 400
0 < x ≤ 100 and y > 400
0 < x and y < 100

Answers

The constraints to represent the incoming students at the college are -

0 < x ≤ 100 and 0 < y ≤ 400

What is an Inequality? What is a expression? What is a mathematical equation?An inequality in mathematics compares two values or expressions, showing if one is less than, greater than, or simply not equal to another value.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have a college is currently accepting students that are both in-state and out-of-state. They plan to accept four times as many in-state students as out-of-state, and they only have space to accept 100 out-of-state students

Now -

[x] = the number of out-of-state students

[y] = the number in-state students

y = 4x

0 < x ≤ 100

and the range of [y] will be -

0 < y ≤ (4 x 100)

0 < y ≤ 400

Therefore, the constraints to represent the incoming students at the college are -

0 < x ≤ 100 and 0 < y ≤ 400

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A number is between 41 and46. It has prime factor of 2 and 11. What is the number?

Answers

Answer:

The required number lies between 41 and 46 and has prime factors of 2, and 11 is 44.

Step-by-step explanation:

The number lies between 41 and 46 are 42, 43, 44, and 45. From the straightforward observation and according to the condition that must be divisible by 2 and 11 there is only one number that is divisible by both 2 and 11 is 44.

The lines passing through which pairs of points have a positive y-intercept? Select all that apply. A (- 3, 10) and (1, 2) B (- 1, 6) and (0, 2) C (1, 2) and (3, 4) D (0, - 4) and (3, - 2) E (3, 1) and (5, 2)

Answers

The lines passing through points A (- 3, 10) and (1, 2) , B (- 1, 6) and (0, 2) , and C (1, 2) and (3, 4) has positive y-intercept.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

As we know, the slope formula is:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

A (- 3, 10) and (1, 2)

m = (2-10)/(1+3)

m = -8/4 = -2

y = mx + c

y = -2x + c

Plug (- 3, 10)

10 = -2(-3) + c

c = 10 - 6 = 4 (positive y-intercept)

Similarly, for the other points:

B (- 1, 6) and (0, 2)

y = -4x + 2 (positive y-intercept)

C (1, 2) and (3, 4)

y = x + 1 (positive y-intercept)

D (0, - 4) and (3, - 2)

y = 0.667x - 4 (negative y-intercept)

E (3, 1) and (5, 2)

y = 0.5x -0.5 (negative y-intercept)

Thus, the lines passing through points A (- 3, 10) and (1, 2) , B (- 1, 6) and (0, 2) , and C (1, 2) and (3, 4) has positive y-intercept.

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Divide €45 between Sharon and Louise in the ratio of 4: 5.

Answers

Answer:

€20 for Sharon

€25 for Louise

Step-by-step explanation:

For a ratio of 4:5, you add 4+5 = 9.

You need 4 out of 9 parts for Sharon, and 5 out of 9 parts for Louise.

4/9 × €45 = €20 for Sharon

5/9 × €45 = €25 for Louise

HELP THANKS SO MUCH THANKS

Answers

Answer:

m=4

Step-by-step explanation:

3.6m=14.4

Divide both sides by 3.6

3.6m=14.4

/3.6. /3.6

m=4

hopes this helps please mark brainliest

Answer:

m = 4

Step-by-step explanation:

25 = 10x - 5
What’s the answer

Answers

Answer:

the answer would be x=3.

Step-by-step explanation:

when the x is supplemented for the 3, it comes out to 30. by then taking 5 from that, it brings the the number to 25.

Answer:

x = 3

Step-by-step explanation:

25 = 10x - 5

What’s the solution?

25 = 10x - 5

30 = 10x

x = 30 : 10

x = 3

----------------------

Check

25 = 10 x 3 - 5

25 = 30 - 5

25 = 25

the answer is good

9 divided by 5830 using partial quotients

Answers

Answer: 9 ÷ 5830 = 0 with remainder 9 ( 0 R 9 )

What is the Square root of 4x to the 10th power?

Answers

Answer:

2x^(5/2)

Step-by-step explanation:

The square root of 4x^10 is (4x^10)^1/2.

Therefore, the square root of 4x^10 is (2x^5)^1/2.

This means that the square root of 4x^10 is 2x^(5/2).

Choose the polygon with vertices U(–4, –5), V(–4, 4), W(–2, 4), X(–2, 1), Y(1, 1), and Z(1, –5).

Answers

The polygon with vertices U(–4, –5), V(–4, 4), W(–2, 4), X(–2, 1), Y(1, 1), and Z(1, –5) will be ''An Irregular hexagon''.

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

The vertices of the polygon are,

U(–4, –5), V(–4, 4), W(–2, 4), X(–2, 1), Y(1, 1), and Z(1, –5)

Now,

Since, The vertices of the polygon are,

⇒ U(–4, –5), V(–4, 4), W(–2, 4), X(–2, 1), Y(1, 1), and Z(1, –5)

Clearly, There are 6 vertices with irregular point.

Thus, We get;

The polygon is Irregular hexagon.

Therefore, The polygon with vertices U(–4, –5), V(–4, 4), W(–2, 4),

X(–2, 1), Y(1, 1), and Z(1, –5) will be ''An Irregular hexagon''.

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Marc earns $3,300 per month in gross income. He withholds 28%
of his paycheck in taxes and deductions. What is his monthly net
pay?

Answers

Answer:

$2376

Step-by-step explanation:

Money Marc withholds from his gross income in taxes and deductions: We can do this by multiplying his gross income by the withholding rate of 28%, which gives us 0.28 * $3,300 = $<<0.28*3300=924>>924.

Next, we need to subtract this amount from Marc's gross income to find his net pay. This gives us $3,300 - $924 = $<<3300-924=2376>>2376. Therefore, Marc's monthly net pay is $2376.

A container hold 27 ounces of ice cream.how many 4 1/3 ounce servings is that

Answers

Answer:

Your answer is 6.23

Step-by-step explanation:

(attached)

Find the measure of LK:

Lk=____

Answers

Using the secant-secant theorem,

[tex](4)(6)=(3)(2x+8) \\ \\ 24=3(2x+8) \\ \\ 8=2x+8 \\ \\ 2x=0 \\ \\ x=0 \\ \\ \implies LK=2(0)+5=\boxed{5}[/tex]

What is the y-intercept of the graph that has a slope of 2 and goes through the point (3, 4)?

Answers

Answer:-2

Step-by-step explanation:

Step 1: Write this in slope-intercept form

y=mx+b

Step 2: Plug in the known values

m is the slope, x is the given x value, and y is the given y value

4=2(3)+b

Step 3: Solve for the y-intercept

the y-intercept is b, so all we need to do is solve for b

4=6+b

subtract 6 from both sides so that y is isolated

Answer: b=-2

The y-intercept is -2

f(x) = 2x³ + 6x² - 5x - 3
H
g(x) = 3x - 4
Find (f - g)(x).
A. (f - g)(x) = 2x³ + 6x² − 8x +1
B. (f- g)(x) = 2x³ + 6x² - 2x + 1
O c. (f-g)(x) = 2x³ + 6x² − 2x - 7
OD. (f- g)(x) = 2x³ + 6x² − 8x - 7
-

Answers

Answers C I took it

20. ASSESS REASONABLENESS Your friend says that when the pool in Exercise 19 is more than 8 feet deep, you will win the race. Is your friend's claim reasonable? Explain your reasoning. pls hurry

Answers

Answer:

Step-by-step explanation:

No because the deepness of an pool doesnt affect how fast you will swim during the race

No because the deepness of an pool doesnt affect how fast you will swim during the race.

What is the depth?

Depth refers to a type of vertical distance, where vertical distance is the difference between two vertical positions. One of the most common everyday examples of depth is its use in reference to water.

Here given that,

Your friend says that when the pool in Exercise [tex]19[/tex] is more than [tex]8[/tex] feet deep, you will win the race.

Our swimming speed will never change it does not depend on the depth of the pool.

Hence, depth of the pool does not effect the speed of swimmer.

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How many solutions does the system of equations have?

Answers

Answer: IT can have simultaneous solutions

Step-by-step explanation:

You need to go through the cubic units and count them to get the answer

Answer:

2 solutions

Step-by-step explanation:

The solutions of the system of equations are the points of intersection of the two graphs, the red line and the blue parabola. Since there are two points of intersection, there are 2 solutions.

Answer: 2 solutions

O
Tom wants to pour 84.99 grams of salt into a container. So far, he has poured. 17.4 grams. How much more salt should Tom pour?
grams
Explanation
Check
X
G
Eple Charter

Answers

The remaining amount of salt that Tom needed to pour was 67.59 grams.

What is subtraction?

To subtract in mathematics is to take something away from a group or a number of objects.

In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.

The group's total number of items decreases or becomes lower when we subtract from it.

As per the given,

The total amount that Tom needs to pour = 84.99 grams

Amount poured = 17.4 grams

Remaining = 84.99 grams - 17.4 grams = 7.59 grams

Hence "The remaining amount of salt that Tom needed to pour was 67.59 grams".

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can someone help me please?

Answers

let's consider two numbers for this case, hmmm say

x = 13

y = 17

so yes, 13 < 17

also true, 13 + 2 < 17 + 2

also true that 2(13) < 2(17)

now, -13 < -17? well, not quite

reason being, the on the negative side of the number line, the closer to 0, the larger the number, for that case, -1 is much much larger than -1,000,000.

After washing dishes, water drips from the faucet. The graph shows the number of cups of water that drip from the faucet over time. How many gallons of water drip from the faucet in 24 hours?

Answers

The number of gallons of water that drip from the faucet in 24 hours is; 6 gallons

How to Interpret Linear Graphs?

We can see from the graph, that the x-axis represents the time in hours that the cup of water has dripped from the faucet while the y-axis represents the number of cups that has dripped from the faucet over a specific time frame.

Now, from the graph, we see the following coordinates;

(1, 4)

(2, 8)

(3, 12)

(4, 16)

Thus;

Slope = (8 - 4)/(2 - 1)

Slope = 4

Thus, the rate is 4 cups drip per hour.

1 hour = 4 cups dripping

Thus; 24 hours = (24 * 4)/1 = 96 cups

Now, conversion rate of cups to gallon is;

1 cup = 1/16 gallon

Thus;

96 cups = 96 * 1/16 = 6 gallons

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If XY=16, XZ=14, JQ=6, and the radius of the circumscribed circle of triangle XYZ is 10, find QK

Answers

Check the picture below.

638 divided by 34 long division

Answers

Answer:

18 R26

Step-by-step explanation:

[tex]\ \ \ \ \ \ \,\,\, 18 \textrm{ R}26\\{34\ \overline{\smash{)}\ 638}}\\\textrm{ } \ \ \ \underline{-34}\\\textrm{ } \ \ \ \ \ \, 298\\\textrm{ } \: \, \ \ \underline{-272}\\\textrm{ } \ \ \ \ \ \ \: \, 26[/tex]

G
E (17x-7)
19°
K
H
I
27°
D
K is the incenter of triangle DEF.
What is the value of x?

Answers

x=1000000000000000000000000000000000000000000000000000000000000000000000000000000

000000000000000000000000000000000000000000000000000000000000000000000000000000

0000000000000000000000000000

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Question The product of two consecutive odd integers is 99. Find the integers. Answer only with the positive integers. For example, if the integers are 8, 10 and -8, -10, then answer 8, 10. Provide your answer below: n= n =

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Question
The product of two consecutive odd integers is 99. Find the integers. Answer only with the positive integers. For example, if
the integers are 8, 10 and -8, -10, then answer 8, 10.
Provide your answer below:
n=
n =