Sam wrote exactly half of his land in his daughter's name and ⅓ of his land in his son's name. He donated the remaining 10 acres to a charity.

1. What fraction of the total plot of land did Sam donate to charity?
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Given:

The Benjamin's distance from City A, t hours after leaving his house is

[tex]D=260-65t[/tex]

To find:

The slope of the equation and what is its interpretation in the context of the problem?

Solution:

The slope intercept form of a line is

[tex]y=mx+b[/tex]

where, m (coefficient of variable x) is slope and b is y-intercept.

We have, the equation

[tex]D=260-65t[/tex]

It is a linear equation and the coefficient of variable t is -65. So, the slope of the equation -65.

It means, the Benjamin's distance from City A is decreases at the rate of 65 units per hour or we can say the speed of Benjamin is 65 units per hour.

Therefore, slope of the equation -65. It means, Benjamin's distance from City A is decreases at the rate of 65 units per hour.

Answer:

The slope of the function is -65 which reveals the average speed that Benjamin travels, in miles per hour.

Step-by-step explanation:

The slope shows how much the distance to City A decreases each hour, implying that Benjamin is driving an average speed of 65 miles per hour.

Have a good day :)

Let's assume we have $100 and an interest rate of 7%. For the $100 to quadruple it means that the future value would be $400. Thus, because we are talking about compounding daily we will set us the equation as follows:

100 * (1+1.07)x = 400

Then we will take 400 and divide it by 100 getting:

1.07X = 4

Now we have encountered a problem where we do not know exponent, so we will use logarithm to calculate such and transform our equation to: Log1.07(4)=X

Using our calculator we will find that it takes about 20.4895 days to quadruple the money invested under 7% interest rate compounded daily.

2nd: Using the same $100 but with the rate of 5.5% compounded continuously we will be using A=PERT formula

where:

P (principal) is equal to hypothetical $100

E (e) is a mathematical constant, which is approximately 2.718

R (rate) is the interest rate, in our case it is 5.5%

T (time) is the time required for money to grow

A (amount) is the final amount desired, which is 4 times larger of $100, thus $400

We have the following:

400 = 100 * e0.055t

400/100 = e0.055t

4 = e0.055t

Then we will apply natural log to both sides of the equations and get the following:

ln(4) = ln(e0.055t)

Since e is the base of ln(x) the equation simplifies to:

ln(4) = 0.055t

Using the calculator to find ln(4) we are getting:

1.38629 = 0.055t

Lastly find t

t = 1.38629/0.055

t = 25.20535202

Plug the answers back to the original equation to verify the answers.

1st part of the question answer: t = 20.4895

2nd part of the question answer: t = 25.20535202

Answer:

A. Choice 2

B. Choice 1

C. Choice 2

D. Choice 1

Step-by-step explanation:

So basically if it's being multiplied by something each time, then it's choice 2 and if it's being add by something each time, then it's choice 1.

A. You can see in the diagram that each time you multiply the y-value by 2, so it's choice 2

B. In the equation you can tell that every time you will be adding 16, so choice 1

C. Since it's being multiplied by 0.75 each time, it's choice 2

D. Every time y grows by 12, so it's choice 1.

Answer:

x = [tex]\frac{4+5y}{y+3}[/tex]

Step-by-step explanation:

Given

y = [tex]\frac{4-3x}{x-5}[/tex] ( multiply both sides by x - 5

y(x - 5) = 4 - 3x ( distribute left side )

xy - 5y = 4 - 3x ( add 3x to both sides )

xy + 3x - 5y = 4 ( add 5y to both sides )

xy + 3x = 4 + 5y ← factor out x from each term on the left side

x(y + 3) = 4 + 5y ← divide both sides by y + 3

x = [tex]\frac{4+5y}{y+3}[/tex]

Answer:

50-4.25x=11.75

Step-by-step explanation:

So first rene has 50 dollars and has 11.75 left eventually, so that indicates this is a subtraction problem. Also Rene buys a latte cost 4.25 dollars for a certain amount of days so let x represent amount of days and your equation should be 50-4.25x=11.75

Answer:

-8/3

Step-by-step explanation:

-8/3

you count up from when the line intercepts a secure point that would be 8

then 3 over

its negative because it points down on the right

Step-by-step explanation:

-10, -14, -18, -22,...

[tex]a1 = - 10 \\ a2 = - 14 \\ d = a2 - a1 \\ d = - 14 - - 10 \\ d = - 14 + 10 = - 4 \\ an = a1 + (n - 1)d \\ a35 = - 10 + (35 - 1) \times ( - 4) \\ a35 = - 10 + 136 \\ a35 = 126[/tex]

Answer:

[tex]here \: a1 = - 10 \\ d = - 14 - - 10 = - 14 + 10 = 4 \\ a35 = a1 + 34d \\ a35 = - 10 + 34 \times 4 \\ = - 10 + 136 \\ = 126 \\ thank \: you[/tex]

Answer:

B. Angle 5 and Angle 6 are complementary

Step-by-step explanation:

Definition of complementary- either of two angles who sum is 90°

As, Line AC and Line DB are perpendicular, Angle DO(the middle point)C is equal to 90°.

Angle DOC = 90°

Angle DOC = Angle 6 + Angle 5

Therefore, Angle 6 + Angle 5 are equal to 90°, so they are complementary.

Good luck!

Answer:

x= -1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Brainly plss?

Answer:

x=-1

use math papa calculator it helps :)

Answer: C

Step-by-step explanation: Trust me on this ok?

Answer:

38.95= 3 p+11.98

38.95-11.98=3p

26.97/3.=p

$8.99= p

Step-by-step explanation:

hope this helps

Answer:

$8.99 per pizza so p = $8.99

Step-by-step explanation:

$38.95 - $11.98 = $26.97

$26.97/3 = $8.99 = p

Answer:

14 packages.

Step-by-step explanation:

The total number of balloons needed is 3 * 220 = 660 balloons

To find the number of packages

660 / 50 = 13 with a remainder of 10.

Normally, you would round down, but not with this question. You need to buy a whole package to get the 10 left over balloons.

The answer is 14 packages.

Answer:

270.5

Step-by-step explanation:

*sigh* here we go again ok

separate it into a rectangle and semicircle

12*16=192

circle is pi(r)^2/2   so

5^2=25

25*3.14=78.5

78.5+192=270.5

Answer:

Two Integers

Step-by-step explanation:

Answer:

So the pattern is dividing in half

So 300, 150, 75

We have the first 3 terms

The 4th term: 37.5, 18.75,

So we get the 10th term: 0.58

Answer:

Step-by-step explanation:

Given

Conjugate of z is:

Product zz' is:

If ,

[tex]\bold{z=-3+5i }[/tex]

so,conjugate of z

[tex]\overline{ z }[/tex]=[tex]\bold{-3-5i }[/tex]

Because, in argand plane [tex]\overline{ z }[/tex] is the reflection of z in x-axis.

so,

According to the question,

z[tex]\overline{z}[/tex]=(-3+5i)(-3-5i)

[tex]\bold{(-3)^2-(5i)^2 }[/tex]

[tex]\bold{9-25(-1) }[/tex]

[tex]\bold{ 9+25 }[/tex]

[tex]\bold{ 34 }[/tex]

Step-by-step explanation:

1book valume = 25cm×20cm×2cm=1000cm³

a packet valume = 6×1000cm³ = 6000cm³

Answer:

216000 cm3

Step-by-step explanation:

length of packet = 6 × 25 cm = 150 cm

breadth of packet = 6 ×20 cm = 120 cm

height of packet = 6 × 2 cm = 12 cm

Now,

volume of packet = l×b×h = 150 cm × 120 cm × 12 cm

= 216000 cm3

Answer:

The answer is 26.2.

Step-by-step explanation:

To get the answer we take the miles done in the race, in this case 18.34 and he is 70% done the race. To find out how much total miles are in the race, we  convert 70% into a decimal which is 0.70.  then we have 18.34 and 0.70 to multiply. 18.34 x 0.70=26.2 Which is your answer.

Hope this helps!

Step-by-step explanation:

We know that

1m = 100cm

according to question

perimeter of rectangle = 2 (l+b)

22cm = 2 (100+b)cm

2×(100+b)cm = 22cm

100+b cm = 22/2cm

100+b cm = 11 cm

b = 100 -11 cm

thanks for ask question.

Answer:

A,B, and C

Step-by-step explanation:

25%of 24 is 6, 24-6=18(new price)

A.24-(0.25×24)=24-6=18

B.(0.75)×24=18

C.(0.25×24)×3= 6×3=18

Answer:

The answer is "[tex]\bold{\frac{1}{3} \ n^2 (n - 1) \ units^3}[/tex]"

Step-by-step explanation:

Please find the complete question in the attachment file.

The volume of a pyramid: [tex]V=\frac{1}{3} (\text{base area}) \times (\text{height})[/tex]

In the question if:

[tex]Area= n^2 \ units^2 \\\\height= (n-1) \ units\\[/tex]  

apply the value in the volume formula:

[tex]V=\frac{1}{3}\ n^2 \ units \times (n-1) \ units^2\\\\[/tex]

   [tex]= \frac{1}{3}\ n^2 \times (n-1) \ units^3\\\\ = \frac{1}{3}\ n^2 (n-1) \ units^3\\\\[/tex]

Answer:

option C). 1/3^2(n − 1) units3

Step-by-step explanation:

just took test

Answer:

D

Step-by-step explanation:

It must be D  because first of all you need the 1.01 because its a 1 percent increase and because when you write out what it would be for lets say 3 years it would be (310*1.01)*1.01)*1.01 so if we drop the parentheses because this is all multiplication you would have 310*1.01^3 which would be 3=t

Answer:

the pollen grain deposited were initially estimated at 310 with a annual increase rate of 1%

thus, there is an increase by 1.01 every year

for the first year after the year the grains were deposited there will be an increase of 310 (1.01)

similarly the following year will have an increase of 310(1.01)

(1.01) or 310(1.01)2-this 2 is a square

also the third, fourth, fifth....year will have an increase of 310(1.01)3-this 3 is a square, 310(1.01)4-this four is a square, 310(1.01)5-also this five is a square

respectively and thus, t years, there will be an increase of 310(1.01)t

ans:D

Note I did not did this I received help

Answer:

1 kg = 2.205 lb

34 X 2.205 = 74.97lbs

74.97 - 50 = 24.97

25 x 5 = $125

Answer:

15cm

Step-by-step explanation:

180/12=15

Answer:

6+x

Step-by-step explanation:

hope this helps

Answer:

Domain: [ 0,∞), {x|x ≥ 0}

Range: (-∞,-4], {yly ≤ -4}

Step-by-step explanation:

Answer:

used bedmas

Step-by-step explanation:

=(22)x49+6

= 1070+6

=1076