A 32 ft board is cut into three pieces at a sawmill. The second piece is 5 ft longer than the first and the third piece is 1 ft longer than the second.
What are the lengths of the three pieces?

Answers

Answer 1

Answer:

The first piece is 7 ft long, the second piece is 12 ft long, and the third piece is 13 ft long

Step-by-step explanation:

Let x represent the length of the first piece.

Since the second piece is 5 ft longer than the first, it can be represented by x + 5

Since the third piece is 1 ft longer than the second, it can be represented by x + 6

Create an equation that adds all of these terms up to 32, and solve for x

(x) + (x + 5) + (x + 6) = 32

3x + 11 = 32

3x = 21

x = 7

So, the first piece is 7 ft long.

Using the expressions we created, solve for the lengths of the second and third pieces.

x + 5

7 + 5 = 12

x + 6

7 + 6 = 13

The first piece is 7 ft long, the second piece is 12 ft long, and the third piece is 13 ft long


Related Questions

Help!!!!!! See image.

Answers

The shape of the graph of a function is the shape assumed by the graph of the function after the dataset generated by using the function is plotted on the coordinate plane. The shape in the graph of the question is a triangular shape.

What is a function?

A function is a direction used to map the values of an input variable of the function to the output variables.

The points in the attaches graph which are connected by lines are;

(0, 1.5), and (4.5, 0)

The joining of the above points in the attached graph, and the origin forms a triangular shape.

Details about the shape of the graph of a function

The graph of a function such as f(x) = -x² + 2·x + 3, is obtained by finding the values of the output values of the function, f(x) for each input value of the function, x as follows;

x     [tex]{}[/tex]             f(x)

0     [tex]{}[/tex]              3

1     [tex]{}[/tex]               4

2     [tex]{}[/tex]              3

3     [tex]{}[/tex]              0

4     [tex]{}[/tex]              -5

5     [tex]{}[/tex]              -12

6     [tex]{}[/tex]              -21

7     [tex]{}[/tex]              -32

8     [tex]{}[/tex]              -45

Please find attached the graph of the sample function created with MS Excel

The graph of the function f(x) = -x² + 2·x + 3 has the shape of a parabola, which is the shape of a quadratic function.

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During the year, Salaries Payable decreased by $12,000. Using the direct method of reporting cash flows from operating activities, if Salaries Expense amounted to $450,000 for the year, the cash paid to employees (including deductions from gross pay) is

Answers

If during the year, Salaries Payable decreased by $12,000. Using the direct method of reporting cash flows from operating activities, if Salaries Expense amounted to $450,000 for the year, the cash paid to employees is $462,000.

What is cash paid?

Cash paid can be defined can be defined as the amount that is payable to an employee by an employer.

Using this formula to find the cash paid to employees

Cash paid to employees = Salaries payable decreased + Salaries Expense

Where:

Salaries payable decreased = $12,000

Salaries expense = $450,000

Let plug in the formula

Cash paid to employees = $450,000 + $12,000

Cash paid to employees = $462,000

Therefore the Cash paid to employees  is the amount of $462,000.

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A circle with center w is shown in the figure below .

Answers

Step-by-step explanation:

(a). Radius = WX, WY or WT as they are all points going from the centre of the circle.

(b). Diameter = TX or XT as it goes through the circle points.

(c). Chord = UV or TX as it is two points that originate from the centre of the circle.

(d).  The diameter is two times the radius, as the radius (WY = 3) we can find out that the diameter is 3 * 2 so 6.

PLEASE HELP ME SOMEONE!!!

Answers

Refer to the photo taken. Note: Double check the values I put “hard to tell” by. Without actually having the paper in front of me it’s hard to approximate some of the values looking at a picture.

The numerator of a fraction is 5 less than its denominator. If 1 is added to the numerator and to the denominator, the new fraction is [tex]\frac{2}{3\\}[/tex] Find the fraction.

Answers

The fraction in the question is 9 / 14

Fractions

Fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

To solve this problem, we have to write an algebraic equation and solve for the unknown.

Assuming x represents the unknown value

Original fraction = x - 5 / x

When 1 is added to both numerator and denominator;

x - 5 + 1 / x + 1 = 2/3

x - 4 / x + 1 = 2/3

Cross multiplying both sides

2(x + 1) = 3(x - 4)

2x + 2 = 3x - 12

Collect like terms and solve for x

2 + 12 = 3x - 2x

x = 14

The fraction is 14 - 5 / 14 = 9 /14

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Consider this diagram.
(6x+30)
(8x+10)
Given: m/CEA (8+10): m/AED
Prove: - 10
Statement
Part A
Mr. Avila asked his students to write either a two-column proof or a paragraph proof for the question shown.
Student A and Student B each made a mistake in their proof. Identify each student's mistake and the step in which they
made it.
Type your response in the box.
mZCRA
mZAED
838°
ZCEA and ZAED are a near
pair.
m/CEA + m/AED
8z + 10 + 6x + 30
14x + 40 180
14 140
-10
Student A's Proof
and
=
180°
L 180
(6m+30)
Reason
given
definition of linear pair
Linear pairs are
supplementary.
substitution
Like terms can be combined.
addition property of equality
division property of equality
Student B's Proof
We are given that mZCEA (8 + 10) and
m/AED = (6x +30) By the definition of vertical
angles, we know that ZCEA and ZAEDare vertical
angles. Vertical angles have equal measures, so
m/CEA m/AED substituting
m/CEA -
3x + 10and m/AED - 6x + 30 into
m/CEA
ZAED, we get
8+10= 6z+ 30. Using the subtraction property
of equality on the variable terms, this becomes
2z+10 30. Using the subtraction property of
equality on the constants, we get 2z - 20 By the
division property of equality, we prove that m 10
-
-

Answers

The angles m∠CEA and m∠AED are supplementary .hence the value of x will be 10 has been proved.

What is an angle?

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays known as the vertex—is referenced as an angle's sides.

We are Given that m∠CEA and m∠AED are only two angles on a straight line thus they will be supplementary.

Therefore, we have

m∠CEA + m∠AED = 180°

8x + 10 + 6x + 30 = 180

14x + 40 = 180

14x = 140

x = 10

Hence "The value of x will be 10 that proved the angles m∠CEA and m∠AEDare complementary".

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How to find the value of a + b + c.
I know the answer but I do not know how to arrive at the answer:
[tex]answer = 9[/tex]

Answers

The attached picture is of a similar problem. But different radii.

Notice how you can form 2 equilateral triangles, and that there are 4 semi circles (at AC, AD, BC, BD).

This is because points C and D lie on the circumference of the circles. So distance from centres( A and b) to C and D are the radius

To get the area of your shaded section, you would just need to add up the areas of the 4 semi circles and 2 equi. triangles.

To get the area of a semi circle, work out the area of one of the sectors, i.e sector ABC, then subtract area of an equilateral triangle.

(Note, due to symmetry all semi circles have same area)

________________________________________________________

For example, for the picture below:

Area of equi triangle = absinC = 1*1*sin60 = √(3)   --> (C is angle)

Area of sector = (angle/360) * πr² = (60/360) * π * (1)² = π/6

So area of 1 semi circle = Area of Sector - Area of equi triangle

                                       = π/6 - √(3)

Now you would just add the areas of 4 semi circles, and 2 equi triangles, and compare coefficients to get a, b, c.
______________________________________

Now you would do the same for your question, except radius is now 6cm instead of 1cm.

Solve for x in the equation x2-14x+31-63-
Ox=-16 or x = 2
O x=-7±3-√√7
Ox=-2 or x = 16
Ox=7±3√√√7

Answers

Answer:Value of x are 16 and -2

Step-by-step explanation:

Solve for x in the equation:

Subtract 63 from both sides we have;

To factor this equation as:

Take (x-16) common we have;

By zero product property we have;

x-16 = 0 or x+2 = 0

⇒x = 16 or x = -2

Therefore, the value of x are: 16 and -2

The value of x in the equation are x = -2 or x = 16.

What are Quadratic Equations?

Quadratic equations are polynomial equations of second degree.

The general form of a quadratic equation is ax² + b x + c = 0.

Given is a quadratic equation,

x² - 14x + 31 = 63

We have to find the value of x.

x² - 14x + 31 - 63 = 0

x² - 14x - 32 = 0

Using the quadratic formula,

x = [14 ± [tex]\sqrt{(-14)^2-(4*1*-32)}[/tex]] / 2

  = (14 ± √324) / 2

  = (14 ± 18) / 2

x = 14 + 18 / 2 or x = 14 - 18 / 2

x = 16 or x = -2

Hence the value of x are x = 16 or x = -2.

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Six stand up comics A,B,C ,D ,E and F are to perform on a single evening at a comedy club. The order of phrases of performance is determined by random selection.
a. Comic D wall perform fourth.
b. Comic F will perform first and Comic C will perform fourth.
e. The connections will perform in the following order, D, F, C, E, A, B.
d. Comic A or Comic B will perform third.
a.
b.
c.
d.

Answers

A) The Probability that comic D will perform fourth is; 1/6

B) The Probability that Comic F will perform first and Comic C will perform fourth is;  1/30

C) Probability that the comedians will perform in the following order, D, F, C, E, A, B is;  1/720

D) Probability that Comic A or Comic B will perform third is; 1/15

How to solve permutation and combination?

A) Probability that comic D will perform fourth;

Number of ways that this will succeed = 1 * 5!

Number of possible outcomes normally = 6!

Thus;

P(D is 4th) = 5!/6! = 1/6

B) Probability that Comic F will perform first and Comic C will perform fourth.

Number of ways that this will succeed = 1 * 1 * 4!

Number of possible outcomes normally = 6!

Thus;

P(F is 1st and C is 4th) = 4!/6! = 1/30

C) Probability that the comedians will perform in the following order, D, F, C, E, A, B;

There is only 1 way and as such the probability = 1/6! = 1/720

D) Probability that Comic A or Comic B will perform third;

(2!*4!)/6! = 1/15

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In ΔQRS, m∠Q = 11° and m∠R = 40°. Which list has the sides of ΔQRS in order from shortest to longest?
PLEASE HELP!!

Answers

Answer:

RS, SQ, QR

Step-by-step explanation:

The three angles in a triangle add up to 180° Two angles are given, so we can find the third angle.

11 + 40 + S = 180

51 + S = 180

subtract 51

S = 129°

S is the biggest angle, so the biggest side will be opposite from S. QR is the biggest side.

AngleQ is 11°, the smallest angle. The smallest side will be opposite from the smallest angle. The smallest side is RS.

The 40° angle, AngleR is in the middle. The medium length side is opposite from the medium size angle. SQ is the medium length side.

From small to big:

RS, SQ, QR

Answer:

The 4th answer down

RS, SQ, RQ

Step-by-step explanation:

There is a relationship between the angle measurement and the length of the side opposite of the angle.  The side opposite of the largest angle measurement has the longest side opposite to that angle, the same is true for the middle angle and the smallest angle.

calculate the volume, in milliliters, of hbrhbr solution required to neutralize 28.0 mlml of a 0.210 mm liohlioh solution . express your answer using three significant figures.

Answers

The volume, in milliliters, of hbrhbr solution required to neutralize 28.0 mlml of a 0.210 mm liohlioh solution is 1.176 ml.

Volume is a degree of the quantity of area that be counted occupies. Matter is described as a bodily substance that occupies area and has a mass. In bodily sciences like chemistry, the usual unit of extent is cubic metres (m3). From this, different gadgets are derived inclusive of litre (L) and millilitre (mL).

A correct region to begin is the balanced chemical equation for this neutralization: 2 H Br + Ba (OH)2 → Ba Br2 + 2 H2O The crucial aspect right here is that it takes moles of H Br to neutralize one mole of Ba(OH)2 . The variety of moles of Ba(OH)2 is 0.28x 0.210 =0.0588 moles. Thus 2 x .0.0588 = 1.176 moles of H Br are wished. The extent, V, of H Br answer wished may be computed from V) = 1.176 L.

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ANSWER AS MANY AS POSSIBLE

1. What is the area of a right triangle with a height of twelve and one-fourth feet and a base of 35 feet?

2.What is the horizontal distance between (16, –24) to (–3, –24)?

3.A dog food storage container is in the shape of a rectangular prism. If the dimensions of the container are 38 inches by 26 inches by 20 inches, what is the maximum amount of food that the container can hold?

4.Which of the following is the fourth vertex needed to create a rectangle with vertices located at (5, 6), (9, 6), and (5, 3)?
(5, –6)
(5, –3)
(9, –6)
(9, 3)

5. A family is building a sandbox for their yard that is shaped like a rectangular prism. They would like for the box to have a volume of 32,188.04 in3. If they already have the length measured at 59.3 inches and the width at 59 inches, what is the height needed to reach the desired volume?

6.
An office manager needs to cover the front face of a rectangular box with a label for shipping. The vertices of the face are (–6, 5), (6, 5), (–6, –4), and (6, –4). What is the area, in square inches, of the label needed to cover the face of the box?

Answers

The height of rectangular prism needed to reach the desired volume is 9 inches.

What is the volume of the rectangular prism?

The volume of a rectangular prism is the product of its three dimensions, that is volume = length × width × height.

V= l.w.h

l Length

w Width

h Height

Given :

volume of rectangular prism (v) 32,188.04 inches

length  of rectangular prism(l) 59.3 inches

width of rectangular prism(w) 59 inches

Since , V= l.w.h

32,188.04 = 59.3 * 59 * h

or h = 32188.04/59.3 * 59

or h = 32188.04/3498.2

or h = 9.2

Hence , the height of rectangular prism needed to reach the desired volume is 9 inches.

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How much would you need to deposit in an account now in order to have $6,000.00 in the account in 389
days?

Assume the account earns 2-% simple interest.

You would need to deposit_____ in your account now.

Answers

Answer:

$5,851.88

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{7 cm}\underline{Simple Interest Formula}\\\\$ A = P(1 + rt)$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]

Given values:

A = $6000r = 2³/₈% = 0.02375t = 389 days = ³⁸⁹/₃₆₅ years

Substitute the given values into the formula and solve for P:

[tex]\implies 6000=P\left(1+0.02375 \times \dfrac{389}{365}\right)[/tex]

[tex]\implies P=\dfrac{6000}{1+0.02375 \times \dfrac{389}{365}}[/tex]

[tex]\implies P=\dfrac{6000}{1+0.0253116438...}[/tex]

[tex]\implies P=\dfrac{6000}{1.0253116438...}[/tex]

[tex]\implies P=5851.87931....[/tex]

Therefore, you would need to deposit $5,851.88 in your account now.

give a big-o estimate for each of these functions. for the function g in your estimate f (x) is o(g(x)), use a simple function g of smallest order. of(x)

Answers

The big-o estimate for each of these functions are:

nlog(n^2 + 1) = o (n^2 logn)

What is the big O notation?

It is a commonly used notation in algorithms and data structures domain to get an approximate upper bound of the time the algorithm in question will take to run.

For example, if you want to find the maximum element in a list of n elements, the worst case scenario is that the maximum is the last number. Then we write  O(n) .

How do you calculate big O notation for a function?

If the function is not too unweildy, it's pretty easy to do.

Consider the function f(x) = 4x^3 + (7x^2)(log(x)) + 3x +8

Look for the highest order term - the term that grows faster than the other terms, as x gets larger. For this function, that term is 4x^3.

Now just get rid of the constant out front to get x^3.

Then put a Big O in front: O( x^3 ).

So we say that f(x) is O( x^3 ).

Since,

nlog(n^2 + 1 ) + n^2 logn is approximately equals to n^2logn

which implies,

nlog(n^2 + 1) + (n^2 logn) = O (n^2 logn)

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 patrick takes a textbook to a pawnshop to borrow some money and is given $30.00. Patrick must pay back the $30.00 in addition to a $12.50 fee in 6 months.

What simple interest rate is he being charged?

Answers

Answer:

here,

simple interest (S)=12.50$

Principal(p)=30.00$

time(t)=0.5 year

Now,

S=PTR/100

or,12.50=30×0.5×R/100

or,1250=15R

or,1250/15=R

:.R=83.33% per annum

Nikola likes to play horseshoes, where players try to score a ringer by throwing a horseshoe so it lands around a post. A player gets 2 attempts each round. Let R represent the number of ringers that Nikola scores in a round. Here's the probability distribution of R along with summary statistics. R=# of ringers 0 1 2 P(R) 0.75 0.20 0.05 Mean: HR=0.3 Standard deviation: OR 0.56 Nikola gets 3 points for each ringer that he scores. Let X represent the number of points that Nikola gets from ringers in a round. What are the mean and standard deviation of X?

Answers

The mean and standard deviation of X are 0.9 and 1.68 points.

Since Nikola gets 3 points for each ringer which he scores, then total points he gets from ringers could be determined by multiplying the number of ringers by 3.

So, X = R * 3 = 3R

Where:

R = numbers of ringers

X = total points Nikola gets from ringers

Given:

Mean : μR = 0.3

Standard deviation : σR = 0.56

Thus, multiplying by 3 will effects the mean as follows:

μX = 3 (μR)

= 3 (0.3)

= 0.9

And, multiplying by 3 also will effects the standard deviation as follows:

σX = 3 (σR)

≈ 3 (0.56)

≈ 1.68

Hence, the mean of X is 0.9 and and the standard deviation of X is 1.68.

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G(X)=-3x+2 find g(2)

Answers

Answer:

-4

Step-by-step explanation:

[tex]-3*2 + 2=-4[/tex]

What are x and y if angle A is (2x), angle B is (y+x), and angle C is (y-x)?

Answers

Value of x is 30 and y is 30, if angle A is (2x), angle B is (y+x), and angle C is (y-x).

Define angle.

The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation. A geometrical shape called an angle is created by connecting two rays at their termini. In most cases, an angle is expressed in degrees. In geometry, there are several different kinds of angles. a geometric shape made up of two lines that meet at the same point or two planes that meet at the same line. the distance in degrees between such lines or planes.

Given

Angle A = 2x

Angle B = y + x

60 =  y + x

y = 60 - x

Angle C = y - x

60 = y - x

60 + x = y

As we know, sum of triangle is 180

2x + 60 - x + 60 + x = 180

2x - x + x = 180 - 120

2x = 60

x - 30

For value of y, equating value of x in y = 60 - x

y = 60 - 30

y = 30

Value of x is 30 and y is 30, if angle A is (2x), angle B is (y+x), and angle C is (y-x).

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Enola wants to invest $8,600.00 in a savings account that pays 5.1% simple interest.

How many years will it take for this investment to triple in value?

Round your answer to the nearest tenth of a year.

It will take ________ years for this investment to triple in value.

Answers

Step-by-step explanation:

To find the number of years it will take for Enola's investment to triple in value, we can use the formula for simple interest:

I = P * r * t

where I is the total interest earned, P is the principal (the initial amount invested), r is the interest rate, and t is the number of years.

Since the investment will triple in value, the total interest earned will be equal to two times the initial investment, or 2 * $8,600.00 = $17,200.00. Substituting these values into the formula and solving for t, we get:

$17,200.00 = $8,600.00 * 5.1% * t

t = $17,200.00 / ($8,600.00 * 5.1%) = 3.28 years

Rounding this value to the nearest tenth of a year, we get t = 3.3 years. Therefore, it will take approximately 3.3 years for Enola's investment to triple in value.

Time to think about your New Year's Resolution for the new year. Nora decided she needed more
exercise. She decided that starting with the first full week in 2023, she will do a 45-minute workout
four times a week ( four days during every seven-day week.) This means she will exercise four of the
days during the week of Jan, 1 through Jan. 7 and will do the same during the week from Jan. 8
through Jan. 14, etc. If Nora sticks to her resolution, what is the first possible date on which she will
complete 25 hours of exercise for the year?

Answers

The first possible date on which she will complete 25 hours of exercise for the year is on March 1.

How to calculate date?

In general, dates can refer to a specific day on the calendar, such as January 1 or December 31. Dates can also refer to a specific point in time, such as a specific hour, minute, or second. In some cases, dates can also refer to a specific period of time, such as a year, month, or week.

Since Nora plans to do a 45-minute workout four times a week,

she will exercise for a total of 4 * 45 minutes = 180 minutes per week.

This means that each week, she will exercise for a total of 180 / 60 = 3 hours.

To complete 25 hours of exercise for the year,

Nora will need to exercise for a total of 25 / 3 = 8.3 weeks.

The first possible date on which she will complete 25 hours of exercise is therefore 8.3 weeks after Jan 1,

Which is approximately 8.3 * 7 = 58 days after Jan 1.

Therefore, the first possible date on which Nora will complete 25 hours of exercise is 58 days after Jan 1, which is on March 1.

Overall, if Nora sticks to her New Year's resolution to exercise four times a week, the first possible date on which she will complete 25 hours of exercise for the year is on March 1.

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What is the answer to this question?




A. Domain: All Real Numbers; Range: All Real Numbers

B. Domain: −10 ≤x≤10 Range: −4≤y≤8

Answers

The answer is A because the line is at an ongoing angle

Construct a geometric mean between a and c.

Answers

Geometric mean will be a line segment with length x such that x² = a × c.

What is Geometric Mean?

Geometric mean of two line segments p and q is a line x such that it satisfies the formula x² = a × b or x/a = b/x.

To construct geometric mean, first simply draw a line segment and mark a point P anywhere on this line.

Mark the length of the line segment 'a' from the point P and mark the endpoint of 'a' as A. Now, in the same line, from the point P, mark the length of the given line 'c' and mark its endpoint as C.

Now, draw a perpendicular bisector of the resulting line PC. Then we get the midpoint of PC. Let this point be O.

Draw a semicircle with center O and the endpoints P and C.

Now draw a vertical perpendicular line from the point A until it cuts the semicircle. Let N be the point where this line touches the semicircle.

Now join P with N.

The line PN will be the geometric mean x such that a × c = x².

Hence the line segment PN is the geometric mean with length x.

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solve each of the following quadratic inequalities using any Convenient
method :
A)
[tex]x(10x + 19) \leqslant 15[/tex]
[tex](x + 2)^{2} > (3x + 1)^{2} [/tex]

Answers

Answer:

-2.5 ≤ x ≤ 0.6-0.75 < x < 0.5

Step-by-step explanation:

You want the solutions to the following inequalities by any convenient method:

x(10x +19) ≤ 15(x +2)² > (3x +1)²

Comparison

We choose to rewrite these inequalities to be comparisons to zero. This is because our graphing calculator easily identifies the x-intercepts of a graph. We can look a the graph to tell where the function is above or below the x-axis.

f(x) = x(10x +19) -15; f(x) ≤ 0g(x) = (x +2)² -(3x +1)²; g(x) > 0

Graph

The attached graph shows the solutions to be ...

f(x) ≤ 0 for -2.5 ≤ x ≤ 0.6g(x) > 0 for -0.75 < x < 0.5

The values obtained for the first equation will be  x ≤ 3/5 and x ≤ -5/2 and the values obtained for the second equation will be x < 1/2 and x < -3/4.

What is inequality?

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.

As per the given inequalities in the question,

1.

x(10x + 19) ≤ 15

Firstly, simplify it to the simpler form,

10x² + 19x - 15 ≤ 0

Solve the quadratic equation,

D = b² - 4ac

= 19² - 4(10)(-15).

D = 961

Now, use the formula,

(-b±√D)/2a

√D = √961 = 31

(-19 ± 31)/2(10)

So, the roots are:

1.

(-19 + 31)/20 = 12/20 = 3/5

Or, x ≤ 3/5

2.

(-19 - 31)/20 = -50/20 = -5/2

Or, x ≤ -5/2

2.

(x + 2)² > (3x + 1)²

Simplify the equation first.

x² + 4x + 4 > 9x² + 6x + 1

x² - 9x² + 4x - 6x + 4 - 1 > 0

-8x² - 2x + 3 >

8x² + 2x - 3 < 0

Now, find the roots for the equation,

D = b² - 4ac

D = 4 + 96

D = 100

Now, use the formula,

(-b ± √D)/2a

(-2 ± 10)/16

So, the roots are:

1. (-2 + 10)/16 = 1/2

Or, x < 1/2

2. (-2 - 10)/16 = -12/16 = -3/4

Or, x < -3/4

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65. Which of the following could represent the side
lengths of a triangle? Check all that apply.
A. 6, 10, 14
B. 12, 15, 29
C. 8, 8, 11
D. 19, 24, 40
E. 9, 17, 26

Answers

Answer:  The following that could represent the side lengths of a triangle are A, C, D.

Step-by-step explanation:

The sum of the first two numbers of the triangle must be greater than the third.

A. 6+10= 16>14             -----------a triangle

B. 12+15= 27<29           -----------not a triangle

C. 8+8= 16>11                -----------a triangle

D. 19+24= 43>40          ------------a triangle

E. 9+17= 26=26            -------------not a triangle

Hope this helps! :)

A four year lease agreement requires payments of 10000php at the begginning of every year if the interest is 6% compounded monythly what is cash value of the lease

Answers

Answer:

36647.36

Step-by-step explanation:

Lease payment =$1000

interest rate= 6%, compounded monthly

Time = 4 years

We have to calculate the present value

PV = 10000 + 10000/(1+ 0.06/12)^12 + 10000/(1+0.06/12)^24+ 10000(1+0.06/12)^36 = 36647.36

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Work out angle bcc give a reason for each angle you work out

Answers

Answer:

70 degrees

Step-by-step explanation:

Triangle XBC is an isosceles triangle.

From the question given, you already know that angle XBC = 55 degrees. This means that angle XCB = 55 degrees. This is because the two sides XB and XC are of equal length, which means that the angles are also equal to each other.

Using this info, we can calculate angle BXC:

The sum of a triangle adds up to 180, so call the unknown angle x:

55 + 55 + x = 180

110 + x = 180

x = 180 - 110 = 70 degrees

Give one pair of vertical angles and one pair of supplementary angles

Answers

One pair of vertical angles are 2 and 3.

One pair of supplementary angles are 1 and 3.

What are corresponding angles?

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

Vertical angles are:

1 and 4

2 and 3

6 and 7

5 and 8

Supplementary angles are:

1 and 3.

2 and 4.

6 and 8.

5 and 7.

Thus,

Vertical angles are 2 and 3.

Supplementary angles are 1 and 3.

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Read the sentences. Choose the one that is informational.

The pancake rolled across the floor, thinking, “I must get out of here, or there’s a great chance I’m to be eaten!”
The world’s largest pancake griddle is located in Penn Yan, NY, and measures 27 feet from end to end.
Tamika’s favorite time of the week was Sunday morning, when she and her dad would make their weekly stop at the diner for Poppi’s famous pancakes.
Syrup drizzled onto the plate as I poured it on the fresh stack of pancakes.

Answers

i think it may be B. The world's largest pancake griddle is located in Penn Yan, NY, and measures 27 feet from end to end.

a planes average speed was 340 miles per hour how long did it take the plane to travel 1190 miles

Answers

Given average speed=340 miles per hour

                         speed= distance/time (formula)

                         speed= 340/60

                         speed=5.6 miles/min

 

now,we have to calculate time,

                             time=distance/speed

                             time=1190/5.6

for information about speed see,

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A student paid 13% value added tax (VAT) after receiving 8% discount from the seller while purchasing a mobile set to participate in online class. If the student paid Rs. 10396 to purchase the mobile set, by how much the price paid by the student or the price marked by the seller is more? Find.​

Answers

Answer: 113% = 9153

100% = ?

100/113 X 9153 = 915300/113 = Rs 8100 = sale price

90 % = 8100

100% = ?

100/90 X 8100 = Rs 9000 = marked price

108% = 8100

100% = ?

100/108 X 8100 = Rs7500 = cost

Difference = 9000 -7500 = Rs 1500

1500/7500 X 100 = 20%

ANSWER Marked price is 20% above cost price

Step-by-step explanation:

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