Each person in Plimouth was given a plot of land 16.7 m wide by 40.8 m long. The Alden family had four members. What was the square area of the plot of land they were allotted?

Answer: x = 5, y = -1

Step-by-step explanation:

Equation 1: 4x + 2y = 18

Equation 2: 3x - 5y = 20

In order to eliminate one of the variables , find the LCM of either x or y.

I chose to eliminate y.  The LCM of 2 & 5 is 10.

Multiply the entire equation so the coefficient of the variable equals the LCM.

Then add the equations and solve for the remaining variable.

5(4x + 2y = 18)       -->        20x + 10y = 90

2(3x - 5y = 20)      -->           6x  - 10y = 40

                                           26x          = 130  

                                          ÷26            ÷26

                                                x         =  5

Next, input x = 5 into either of the equations to solve for y.

Equation 1: 4x + 2y = 18

                 4(5) + 2y = 18

                  20  + 2y = 18

                -20            -20

                           2y = -2

                          ÷2     ÷2

                             y = -1

So the right answer is 4/11

please see attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

[tex] = \frac{2}{3} [/tex]

Step-by-step explanation:

[tex]slope = \frac{y1 - y2}{x1 - x2} \\ = \frac{12 - 4}{ - 5 - ( - 17)} \\ = \frac{8}{ - 5 + 17} \\ = \frac{8}{12} \\ = \frac{2}{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

a,b,e

Step-by-step explanation:

Answer:

B, C and E

Step-by-step explanation:

Answer:

x=4, y=-7

Step-by-step explanation:

A) -8x - 3y = -11 .(-5) -----> A) 40x + 15y = 55

B) -7x - 5y = 7 . (3) ------> B) -21x -15y = 21

A) + B) ---->  19x = 76 --------> x = 4

-8 . 4 - 3y = -11

-32 - 3y = -11

32 + 3y = 11

3y = 11 - 32

3y = -21

y = -7

Answere is C

The sum has a degree of 6 but the difference haa a degree of 7

The true statement about the degree of the sum and difference of the polynomials 3x⁵y - 2x³y⁴-7xy³ and -8x⁵y +2x³y⁴ + xy³ is "the sum has a degree of 6, but the difference has a degree of 7."

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.

Given:

There are two polynomials,

3x⁵y - 2x³y⁴-7xy³ and -8x⁵y +2x³y⁴ + xy³.

The sum of the polynomials,

= 3x⁵y - 2x³y⁴-7xy³ -8x⁵y +2x³y⁴ + xy³.

=  5x⁵y -6xy³.

And the degree is 6.

The difference of the polynomials,

=  3x⁵y - 2x³y⁴-7xy³ + 8x⁵y - 2x³y⁴ - xy³.

= 13x⁵y - 4x³y⁴-8xy³.

And the degree is 7.

Therefore, the sum has a degree of 6, but the difference has a degree of 7.

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Answer:

a. b=4

Step-by-step explanation:

[tex]\sec \theta =\dfrac{1}{\cos \theta} = \dfrac{Hypotenuse}{Adjacent}[/tex]

From the attached triangle drawn below:

NL=20,  LM=3b, [tex]\angle L=x^\circ[/tex]

[tex]\sec x =\dfrac{20}{3b}[/tex]

Since we are told that:

[tex]\sec x =\dfrac{5}{3}\\$Then:\\\dfrac{20}{3b} =\dfrac{5}{3}\\$Cross multiply\\5 \times 3b =20 \times 3\\15b=60\\$Divide both sides by 15\\15b \div 15 =60 \div 15\\b=4[/tex]

The correct option is A.

Answer:

B= 4

Step-by-step explanation:

I got it right on the test

Answer:

[tex]\frac{d}{dx}\left(y\right)=\frac{2-6x+6y}{-6x+2y+1}[/tex]

Step-by-step explanation:

[tex]3x^2-6xy+y^2=2x-y\\\mathrm{Treat\:}y\mathrm{\:as\:}y\left(x\right)\\\mathrm{Differentiate\:both\:sides\:of\:the\:equation\:with\:respect\:to\:}x\\\frac{d}{dx}\left(3x^2-6xy+y^2\right)=\frac{d}{dx}\left(2x-y\right)\\\frac{d}{dx}\left(3x^2-6xy+y^2\right)=6x-6\left(y+x\frac{d}{dx}\left(y\right)\right)+2y\frac{d}{dx}\left(y\right)\\\frac{d}{dx}\left(2x-y\right)=2-\frac{d}{dx}\left(y\right)\\6x-6\left(y+x\frac{d}{dx}\left(y\right)\right)+2y\frac{d}{dx}\left(y\right)=2-\frac{d}{dx}\left(y\right)[/tex]

[tex]\mathrm{For\:convenience,\:write\:}\frac{d}{dx}\left(y\right)\mathrm{\:as\:}y^{'\:}\\6x-6\left(y+xy^{'\:}\right)+2yy^{'\:}=2-y^{'\:}\\\mathrm{Isolate}\:y^{'\:}:\quad y^{'\:}=\frac{2-6x+6y}{-6x+2y+1}\\y^{'\:}=\frac{2-6x+6y}{-6x+2y+1}\\\mathrm{Write}\:y^{'\:}\:\mathrm{as}\:\frac{d}{dx}\left(y\right)\\\frac{d}{dx}\left(y\right)=\frac{2-6x+6y}{-6x+2y+1}[/tex]

Answer:

4x is a monomial

Step-by-step explanation:

it has one type of term, in this case one with a variable

Answer:

Step-by-step explanation:

-9 + b/4 >= -4

b/4 >= 5

b >= 20

the solution is d

Answer:

i believe that the answer is a but if its not that then it must be d

Step-by-step explanation:

sorry if i'm wrong

Answer:

The guy above me is wrong. The answer is B

Step-by-step explanation:

edge

Answer:

You can not select three options, but only these two:

the graph has a domain of all real numbers

the graph has a range of y≥1

Step-by-step explanation:

See attachments.

Answer:

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = number of expected outcome/total outcome.

a)Total number of student is the total outcome = 40

Expected number of outcome is the number of students who bought 20 or more books = 6 (number of students who bought 20-24 books)

Probability of those students who bought 20 or more books =  6/40 = 0.15

Expressing as percentage = 0.15 * 100 = 15%

This means that 15% of the total students bought 20 or more books

b) Mean is calculated using the formula [tex]\overline x =\frac{\sum fx}{N}[/tex]

f is the frequency

x is the midpoint of the class interval

N is the total number of students.

Check the attachment for the frequency table.

[tex]\overline x = \frac{410}{40}\\ \overline x = 10.25[/tex]

Mean number of books bought is 10.25

Answer:

4.5%

Step-by-step explanation:

Firstly we should understand that a quarter is every three months.

So if $135 is earned each quarter, then 4 * 135 = $540 is earned per annnum

We use the simple interest formula to get the rate.

Mathematically;

I = PRT/100

where P is the amount deposited = 12,000

R is what we are looking for which is the rate

T is the time which is 1 year

I is the interest which is 540

We can rewrite the simple interest formula to be:

100I = PRT

R = 100I/PT

Thus substituting the values we have;

R = (100 * 540)/(12,000 * 1) = 4.5%

Answer:

Step-by-step explanation:

Using the simple interest formula to tackle this question.

[tex]SI = \frac{PRT}{100}[/tex]

P = principal = $12,000

R = rate (in %) = ?

T = Time(in years) = 1/4 years

135 = [tex]\frac{12000*R}{100*4}[/tex]

[tex]135 = \frac{12000R}{400}\\ 54000 = 12000R\\R = \frac{54000}{12000}\\ R = 4.5\ %[/tex]

The annual rate of simple interest is 4.5%

Answer:

Brainliest!!!

Step-by-step explanation:

see picture

Answer:

[tex]6[/tex]

[tex] \frac{14}{2?} - 3 + \frac{6}{3 ?} \\ 7 - 3 + \frac{6}{?3 } = 6 \\ 4 + \frac{6}{?3} = 6 \\ 4 + 2 = 6[/tex]

Answer:

6/15 * 2/14 = 12/210

Step-by-step explanation:

This is compound probability. To calculate compound probability, you need to multiply the probabilities of each event happening together.

In this example, the events are selecting a pineapple cake, then a strawberry cake.

Let's find the probabilities!

There are 2 strawberry cakes, 6 pineapple cakes, and 7 chocolate cakes. This means that he has 15 cakes in total.

Therefore, the probability of selecting a pineapple cake is 6/15.

Now, if we assume that he has selected a pineapple cake already, there are now 14 cakes.

Next, the probability of selecting a strawberry cake is now 2/14. This is because he already took a pineapple cake, and now he has to pick a strawberry cake out of the remaining 14 cakes.

Multiply these two probabilities to find the compound probability: 12/210 ( this could be further simplified, but that's how they give it to you! )

Hope this helps! Please feel free to contact me if you have any further questions :)

Answer:

A.f(x) = 86(1.04)x; grows approximately at a rate of 0.4% daily

Step-by-step explanation:

i did this question already

hope this helps

Answer:

it's C

Step-by-step explanation:

Answer:

9, 9, 18

Step-by-step explanation:

AB=3x=9

BC=AB=9

AC=2AB=18

B is mid point of AC

that means,

[tex]\frac{3x + 5x - 6 }{2} = b \\ \: \: \: \: \: \: \: \: \: \: \: \frac{8x - 6}{2}= b \\ \frac{2(4x - 3)}{2} = b \\ b = 4x - 3[/tex]

[tex]3x = 5x - 6 \\ 2x = - 6 \\ x = - 3[/tex]

[tex]ab = 3x = 3 \times - 3 = - 9 \\ ab = - 9[/tex]

[tex]bc = 5x - 6 = 5 \times - 3 (- 6) \\ \: \: \: \: \: = - 15 - 6 = - 21[/tex]

[tex]ac = 8x - 6 = 8 \times - 3( - 6) = - 24 - 6 = - 30[/tex]

[tex]hope \: it \: helped[/tex]

Answer:

[tex]\frac{25\sqrt{3} }{8}[/tex]

Step-by-step explanation:

CosA = [tex]\frac{1}{2}[/tex] , so <A is 60º

Hypotenuse (c) is 5

Opposite is (b)

Adjascent is (a)

cos A = [tex]\frac{adjascent}{hypotenuse}[/tex] -----> [tex]\frac{1}{2} = \frac{a}{5}[/tex] ---------> a = [tex]\frac{5}{2}[/tex]

Pytagoras

[tex]5^{2} = (\frac{5}{2}) ^{2} + b^{2}\\ b^{2} = 25 - \frac{25}{4} \\b^{2} = \frac{75}{4} \\\\b = \frac{5\sqrt{3} }{2}[/tex]

A = b . a . 1/2

A = [tex]\frac{25\sqrt{3} }{8}[/tex]

CosA =  , so <A is 60º

Hypotenuse (c) is 5

Opposite is (b)

Adjascent is (a)

cos A =  ----->  ---------> a =  

Pytagoras

A = b . a . 1/2

A =

Step-by-step explanation:

Answer:

90 days.

Step-by-step explanation:

dy/dt = - 0.0032y

dy = -0.0032y dt

dy/y = -0.0032 dt

Integrating:

ln y = -0.0032t + c     where c is some constant

y = e^(-0032t) + e^c

y = A e^(-0032t)   where A is a constant.

At time 0 we can let y = 1 so in that case A = 1

When there is 0.75 of y left:

0.75 = e^-0032t

ln 0,75 =  -0032 t

t = ln 0.75 / -0032

t = 90.

Answer:

B. 90 days

Step-by-step explanation:

Edge 2022

Answer:

erm

Step-by-step explanation:

241.402

Answer:

It's 8 the answer is 8

Step-by-step explanation:

∠8 and ∠16 are corresponding angles with ∠12  

the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal

According to the question,

Given the diagram we have to find the angles which are corresponding angles with ∠12.

Those angles which are on the same side of traversal called corresponding angles.

By definition of corresponding angles the angles which are corresponding to ∠12 are ∠8 and ∠16. These angles lie on same side of traversal line.

Hence, ∠8 and ∠16 are corresponding angles with ∠12

Option 1 is correct.

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Answer:

74.9

Step-by-step explanation:

Round to the tenths place.

Answer:

74.9

Step-by-step explanation:

When the question asks for something to be rounded to 3 significant figure,

then round in such a way that there are only 3 non-zero digits in the number.

Hope this helps.

Good Luck

Answer:

See the two translations described below

Step-by-step explanation:

Start with the graph of y = log x.  This graph passes through (1, 0) and exists only for x > 0.  The line x = 0 is its vertical asymptote.

Translating this graph 2 units to the right results in h(x) = log (x  - 2).

Translating the graph of h(x) = log (x  - 2) upward by 1 unit results in the graph of log (x – 2) + 1.

Answer: width = 16 ft.

Step-by-step explanation:

let width be w

Length is w + 20

Given

w + 20 = 36

w = 36 - 20

w = 16

Answer:

16 ft

Step-by-step explanation:

l= w+20

36= w+20

w= 36-20

w=16 ft

Answer:

x+5

Step-by-step explanation:

Side is equal to sqrt area

= sqrt x^2 +10x + 25

= x+5

So one side of the square is x+5 metres

Answer:

(x+5) meters long

Step-by-step explanation:

x^2 + 10x+25

We recognize that this is a perfect square trinomial

a^2 + 2ab+b^2 = (a+b)^2

x^2+2*5*x+5^2 = (x+5)^2

Since this is a square

A = s^2 where s is the side length

(x+5) ^2 =s^2

Each side is (x+5)

Answer:

Step-by-step explanation:

if vertical angles (formed when two lines cross each other) or congruent angles (equal degree measure total)

8x-10=3x+90

5x=100

x=20

if complementary (together equal 90 degrees)

8x-10+3x+90=90

11x+80=90

11x=10

x=(10/11)

which in decimal form is about 0.90

if supplementary (together equal 180 degrees)

8x-10+3x+90=180

11x+80=180

11x=100

x=(100/11)

which in decimal form is about 9.09

Answer:

£16.50

Step-by-step explanation:

[tex]x \times (1+\frac{10}{100} )=18.15[/tex]

[tex]x \times \frac{110}{100} =18.15[/tex]

[tex]\frac{110}{100} x=18.15[/tex]

[tex]1.1x=18.15[/tex]

[tex]\frac{1.1x}{1.1}=\frac{18.15}{1.1}[/tex]

[tex]x=16.5[/tex]

Answer: £16.50

Step-by-step explanation:

Let the original cost be x

x + 10/100x = 18.15

1.1x = 18.15

x = 16.50

-8c^3/d^6 is equivalent to the expression

Answer:

-8c^3/d^6

You are correct!