Mr. Bins sold 1/2 of his farm to Mr. Frost and 100 acres to Mr. Slate. He now has 1/5 of his original farm land. How big was his farm originally? How much land does he have now?

Answer:

Step-by-step explanation:

Given the first two numbers of a sequence as 2, 6...

If it is an arithmetic difference, the common difference will be d = 6-2 = 4

Formula for calculating nth term of an ARITHMETIC sequence Tn = a+(n-1)d

a is the first term = 2

d is the common difference = 4

n is the number if terms

Substituting the given values in the formula.

Nth term Tn = 2+(n-1)4

Tn = 2+4n-4

Tn = 4n-4+2

Tn = 4n-2

2) If the sequence us a geometric sequence

Nth term of the sequence Tn = ar^(n-1)

r is the common ratio

r is gotten by the ratio of the terms I.e

r = T2/T1

r = 6/2

r = 3

Since a = 2

Tn = 2(3)^(n-1)

Hence the nth term of the geometric sequence is Tn = 2(3)^(n-1)

Answer: mixed number 327 1/3

Step-by-step explanation:

5892/ 1÷18/ 1=327 1/3

put each number over one to turn it into a fraction.

The answer in fraction form is 982/3 or 327 (1 / 3).

Given,

5892 ÷ 18

We need to divide it in fraction form.

Suppose we have two fractions:

a/b and c/d

Divide a/b by c/d

Now,

a/b ÷ c/d

a/b x d/c

Divide 5892 ÷ 18 in fraction form.

Write 5892 and 18  in fraction form:

- 5892/1

- 18/1

Now,

= 5892 / 1 ÷ 18/1

= (5892/1) / (18/1)

= (5892/1) x (1/18)

= (5892 x 1)  / (1 x 18)

= 5892 / 18

Write it in 6 multiples

= (6 x 982) / (6 x 3)

6 gets cancelled

= 982 / 3

We can write it in mix fraction.

= 327 (1 / 3)

Since,

3 x 327 = 981

981 + 1 = 982

Thus the answer in fraction form is 982/3 or 327 (1 / 3).

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Answer:

5

Step-by-step explanation:

Answer: 13

Step-by-step explanation:

f(0)=2(0)-2

f(0)=-2

g(3)=5(3)

g(3)=15

-2+15=13

Hope this helps!

Answer:

Step-by-step explanation:

f(0) = 2(0) - 2 = 0 - 2 = -2

g(3) = 5(3)= 15

-2 + 15 = 13

Answer:

Step-by-step explanation:

its a

Answer:

I believe it C

Answer:

yes

Step-by-step explanation:

you do that when you have a minus sign and a negative an example is like if you have 4-(-10)=? if you look at the part where its -(- it looks like a positive + so you add them so this is equal to 14, and when you are multiplying 2 negatives they both equal a positive an example is like -4 times -5 this equals 20, but if you have -5+-3=? this equals -8 because you are adding the numbers.

Hope this helps =)

Answer: (3,2)

Step-by-step explanation:

Answer:a and d

Step-by-step explanation:

i took the quiz

Steve can do are; A.Create a pair of equations same slope and different y-intercepts. D. Create a pair of lines that will always stay the same distance apart.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We have given that Steve wants to create a system of equations so that the system has no solution.

We know that when both the lines(represented by both the equations) are parallel and not coincident, then that system of linear equations have no solutions as there is no common point on both line.

So the correct option that steve can do are;

A.Create a pair of equations same slope and different y-intercepts.

D. Create a pair of lines that will always stay the same distance apart.

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Answer:

[tex] \frac{5}{2} [/tex]

Step-by-step explanation:

[tex]5x - 2y = 13 \\ 5x - 13 = 2y \\ 2y = 5x - 13 \\ y = \frac{5}{2} x - \frac{13}{2} \\ equating \: it \: with \\ y = mx + b \\ slope(m) = \frac{5}{2} [/tex]

Answer:

Substitution Property

Step-by-step explanation:

So we know that:

[tex]m\angle A=m\angle B[/tex]

And we also know that:

[tex]m\angle A+m\angle C=\angle D[/tex]

And by using a specific property, we get that:

[tex]m\angle B+m\angle C=\angle D[/tex]

Essentially, we substituted B for A.

So, this is an example of the substitution property, where if two sides/angles are congruent, we can substitute them for each other.

Answer:

1.75x+5<2.5x+3

Step-by-step explanation:

Answer:

178.67

Step-by-step explanation:

One third written as a fraction is 1/3. You can also write it as a decimal by simply dividing 1 by 3 which is 0.33.

If you multiply 0.33 with 536 you will see that you will end up with the same answer as above.

You may also find it useful to know that if you multiply 0.33 with 100 you get 33.33. Which means that our answer of 178.67 is 33.33 percent of 536.

Answer:

all is pictured and shown

Answer:

70

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

Answer:

D. y = 0.42x + 55

Step-by-step explanation:

Let the equation for the cost of the truck be represented by y = mx + b,

where y = cost of truck per mile, x = number of miles, m = charge of the truck per mile and b = rental fee.

We are given that,

Cost for Bob's truck ( y ) = $112.96 for x = 138 miles, and

Cost for Carl's truck ( y ) = $142.78 for x = 209 miles.

This gives us the equations,

142.78 = 209m + b

112.96 = 138m + b

Subtracting these equations, we get,

29.82 = 71m

i.e. m = 0.42

Substituting the value of ' m ' in first equation, we get,

142.78 = 209 × 0.42 + b

i.e. 142.78 = 87.78 + b

i.e. b = 55.

Hence, the equation for the cost of the truck is y = 0.42x + 55

Answer:

d.y = 0.42 x + 55

Step-by-step explanation:

The Answer is

A~13057.38

The money, to the nearest cent, would be in the account after 15 years is $13060.

Due to the high frequency of compounding, daily compounded interest is larger than monthly/quarterly compounded interest since interest is accumulated on a daily basis and is determined by charging interest on principal plus interest gained on a daily basis

It is given in the question that Kennedy invested $5000

Interest rate = 6.4% compounded daily

Assuming no deposits and withdrawals

T = 15 years

The formula for amount obtained after 15 years when interest is compounded daily

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

[tex]\rm A = (5000(1 + \dfrac{6.4}{365*100})^{365*15})[/tex]

A = 5000 * 2.612

A = $13060

Therefore , money, to the nearest cent, would be in the account after 15 years is $ 13060.

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Answer:

If you are solving the equation for x :

3x + 3y = 180

3x = -3y + 180

x = -y + 60 or x = 60 - y

If you are solving the equation for y:

3x + 3y = 180

3y = -3x + 180

y = -x + 60 or y = 60 - x

Answer:

∠RSU is equal to 39

Step-by-step explanation:

∠RST = 90.

So, 90 - 51 = 39

So ∠RSU = 39

Hope this helps!!

Answer:

39°

Step-by-step explanation:

I hope this helps!

Answer:

1.) $54

2.) $21 left

3.) 15 tigers

Step-by-step explanation:

1.) If the original price of an item was $60, and it was reduced by 10%, that means it is now being sold at 90% of its original value.

To find out the new price, simply take the original value and multiply it by 90% (as a decimal).

60*.90=54

So the new price is $54

2.) This is simple subtraction. If you spend $45 on some CDs and $12 on a t-shirt, you spent a total of $57. Subtract $57 from your total of $78.

78-57=21

You are left with $21

3.) Ratios are all about multiplication. If the ratio of lions to tigers is 3:5, that means that the number of lions is going to be any factor of 3, as long as it corresponds to the same factor of 5 for the tigers.

For example, if there are 9 lions, there must be 15 tigers.

3*3=9

5*3=15

There are 15 tigers

Answer:

5⁻² = 1/25

3⁴ = 81

Step-by-step explanation:

Answer:yes

Step-by-step explanation:

Answer:

Ok, supongamos que en total hay N canicas.

1/5 de esas canicas se le dieron a Thales.

Entonces el resto ahora es:

1 - 1/5 = 4/5.

1/3 de esas canicas se le dieron a Arquimedes.

Entonces Arquimedes recibe:

(1/3)(4/5) = 4/15 de las canicas totales.

El resto, que eran 16, se le dieron a Pitagoras.

Ahora, las dos primeras entregas fueron:

1/5 + 4/15 = 3/15 + 4/15 = 7/15.

El resto seria:

1 - 7/15 = 8/15.

Y sabemos que el resto es igual a 16 canicas, entonces tenemos que:

(8/15)*N = 16.

De aca podemos calcular el numero total de canicas.

N = 16*(15/8) = 30

Esto quiere decir que inicialmente hay 30 canicas.

Thales recibe 30*(1/5) = 7 canicas.

Arquimedes recibe 30*(4/15) = 8 canicas.

Pitagoras recibe 16 canicas.

Answer:

It is a function.

Step-by-step explanation:

Functions are relations in which one domain value is assigned to exactly one range value. The x-value must not repeat in the relation set for it to be a function.

{(2,3), (4,3), (6,3), (5,9), (3,9)}

There are no repeating x-values given.

The relation should be a function.

Hope this helps.

Functions are relationships where a single domain value is allocated to a single range value precisely. For a relation set to be a function, the x-value cannot repeat.

The simplest definition of a set in mathematics is a grouping of unique items. Any collection of elements, such as a group of numbers, hours of the week, different kinds of automobiles, etc., might be considered a set.

A set's elements are all the items that make up the set.

As per the given data in the question,

{(2,3), (4,3), (6,3), (5,9), (3,9)}

Due to the absence of repeated x-values.

So,

The relationship need to be functional.

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Answer:

[tex]f(m) = 90000 - 0.05m[/tex]

Step-by-step explanation:

Given

[tex]Base\ Amount = \$90000[/tex]

[tex]Spending = 15\%[/tex] -- every 3 months

Required

Determine the function that shows her monthly balance:

Represent month with m

If she spends 15% every 3 months;

Then

She spends 5% every month

i.e.

[tex]monthly = \frac{15\%}{3}[/tex]

[tex]monthly = 5\%[/tex]

If [tex]1\ month = 5\%[/tex]

Then

[tex]m\ months = 5\% * m[/tex]

Monthly balance (f(m) is then calculated as:

[tex]f(m) = Base\ Amount - Monthly\ Spending[/tex]

[tex]f(m) = 90000 - 5\% * m[/tex]

[tex]f(m) = 90000 - 0.05 * m[/tex]

[tex]f(m) = 90000 - 0.05m[/tex]

Answer:

I=150

Step-by-step explanation:

I=Prt

I=3000(?)(?)

divide 5% by 100

I=3000(0.05)(?)

1 year= 1

I=3000(0.05)(1)

I=150

According to the question,

Principle,

Interest rate,

Time,

We know that,

→ [tex]I = Prt[/tex]

By substituting the values, we get

       [tex]= 3000\times 0.5\times 1[/tex]

       [tex]= 150[/tex]

Thus the above approach is right.

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Answer:

Use the given functions to set up and simplify .

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Step-by-step explanation:

Answer:

e 125x

f 125 x 12 =150

Step-by-step explanation: