Three farmers buy a total of 2,249 acres of land at an auction, Farmer Mel buys land that is 3 times as many acres as Farmer Cassius's land. Farmer Cassius buys land that is 3 times as many acres as Farmer Anne's land. How many acres of land does each farmer buy?​

Answers

Answer 1

Answer:

Farmer Anne's land = 173 acres

Farmer Cassius = 519 acres

Farmer Mel = 1,557 acres

Step-by-step explanation:

Total acre = 2,249

Let

Farmer Anne's land = x

Farmer Cassius = 3x

Farmer Mel = 3(3x) = 9x

x + 3x + 9x = 2,249

13x = 2,249

x = 173

Farmer Anne's land = x = 173 acres

Farmer Cassius = 3x

= 3(173)

= 519 acres

Farmer Mel = 3(3x) = 9x

= 9(173)

= 1,557 acres

Therefore,

Farmer Anne's land = 173 acres

Farmer Cassius = 519 acres

Farmer Mel = 1,557 acres


Related Questions

What is the equation of this line?

y=23x−2

y=32x−2

y=−2x+23

y=−2x+32

SOMEONE JUST ANSWER PLSSSS I NEED HELP ASAP.

Answers

Answer:

y=2/3x−2  A. WOULD BE THE ANSWER

Step-by-step explanation:

Can someone please help me asap!!! I’ll mark brainlist !!

Answers

Answer: 2.4

Step-by-step explanation:

4/5 x 3 = 2 and 3/5

2 and 3/5 converted into decimal is 2.4

You're welcome!

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 + 2x
+1?
Oright 1 unit
o left 1 unit
Oright 2 units
left 2 units

Answers

Answer:

The translation is left 1 unit, up 5 units ⇒ A

Step-by-step explanation:

Let us revise the rules of translation of a function

If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)  

If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)  

If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k  

If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k

The vertex form of the quadratic function is f(x) = ax² + bx + c, where a, b, and c are constant is f(x) = a(x - h)² + k, where h =   and k = f(h)

You will use the vertex form to find the translation

∵ g(x) = x² + 2x + 6

∴ a = 1 and b = 2

→ use the rule of h to find it

∴ h =  

∴ h = -1

→ Use it to find k

∵ g(h) = k

∴ k = g(-1)

→ Substitute x by -1 in g to find k

∴ k = (-1)² + 2(-1) + 6 = 1 - 2 + 6

∴ k = 5

→ Substitute the values of h and k in the vertex form above

∴ g(x) = 1(x - -1)² + 5

∴ g(x) = (x + 1)² + 5

→ By using the 2nd and 3rd rules of translation above

∴ f(x) is translated 1 unit to the left and 5 units up

∴ The translation is left 1 unit, up 5 units

Answer:

it's A. left 1 unit

Step-by-step explanation:

there's a graphing tool on e d g  just copy and paste the equations in that and it'll give you the answer

Solve for m in the following equation:
x = -2kn + m)

Answers

Answer:

The answer is m = x + 2kn

Step-by-step explanation:

Rewrite the equation as  − 2 k n  +  m  =  x . Add  2 k n  to both sides of the equation.

The ratio of boys to girls in a group is 6:1. If there are 50 more boys than girls, work out how many boys there are.

Answers

Answer:

the was 60 boys in the group

Answer:

There are 60 boys.

Step-by-step explanation:

Multiply both by 10 and you get 60 boys and 10 girls. there are 50 more boys than girls.

A 11 1/4 candle burns in 9 hours at what rate does the candle burn per hour


i really need help on this one

Answers

Answer:

   

Step-by-step explanation:

Answer:

The candle burns out 1 [tex]\frac{1}{4}[/tex] per hour. (or [tex]\frac{5}{4}[/tex])

Step-by-step explanation:

1. Convert 11 [tex]\frac{1}{4}[/tex] into an improper fraction ([tex]\frac{45}{4}[/tex])

2. Divide [tex]\frac{45}{4}[/tex] by 9 to find the rate

3. You should get 1 [tex]\frac{1}{4}[/tex] (mixed number) or keep it as an improper fraction( [tex]\frac{5}{4}[/tex] )

Hope this helps!

Round 1.029 to the nearest hundredth.

Answers

Answer:

1.03

Step-by-step explanation:

1.029 is closer to 1.03 than 1.02, so round it to 1.03.

Answer:

1.03

Step-by-step explanation:

- Which is greater?
5 2
a) or
16 9

Answers

Answer:

5/2

Step-by-step explanation:

5/2= 2 1/2

while 16/9=1 7/9

Rachel divided 105 strawberries equally into 7 boxes. How many strawberries will 5 such boxes contain ?

Answers

Answer:the answer would be 75

Step-by-step explanation:If you divide 105 by 7 you get 15 which mean there are 15 strawberries per box so just take 15 times 5 to get your answer -hope this helps!

Skip drove 55.6 miles on Saturday, and 42 1/2 miles on Sunday. How many miles did he drive during the entire weekend?

Answers

Add both distances together.
55.6 + 42.5 = 98.1
He drove 98.1 miles during the weekend.

HELP NEEDED BEOFRE SUNDAY


The wholesale cost of a bicycle is $98.75. The markup for the bicycle is 33.3%. Fond the selling price of the bicycle to the nearest cent

Answers

Answer:

it is 38.74

Step-by-step explanation:

kekdjfjaksodkfjaj

Answer:

131.63

Step-by-step explanation:

Sample method: Use properties of operations. Let x represent the markup.

            x98.75=33.3100                             Write the proportion.

            x98.75=0.333                              Divide 33.3 by 100.

98.75 · x98.75=(0.333)∙98.75               Multiplication Property of Equality

                      x=32.88                              Simplify.

Add the markup to the wholesale cost.

The selling price is  $98.75+$32.88  or $131.63.

Hallar el máximo común divisor de 20, 70, y 50.

Answers

Answer:

10

Step-by-step explanation:

When the input is 4, what is the output in the following function; y = 3x + 4

Answers

Answer:

y = 16

Step-by-step explanation:

y = 3(4) + 4

   (3x4= 12)

y = 12 + 4

y = 16

[tex]Write\;equations\;for\;the\;following...\\\\1...(-2, 3) & (0, 2\\2...(2, 3) & (-3, 0)\\3...(-4, 4) & (4, 5)\\4...(5, 3) & (-1, 5)\\5...(-3, 3) & (0. -1)[/tex]

Answers

Answer:  see below

Step-by-step explanation:

Step 1: Find the slope (m) using the formula:    [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Step 2: Plug in the slope (m) and one of the points (x₁, y₁) into the Point-Slope formula.      y - y₁ = m(x - x₁)

1. (-2, 3) and (0, 2)

Step 1:  [tex]m=\dfrac{3-2}{-2-0}\quad =\dfrac{1}{-2}\quad =-\dfrac{1}{2}[/tex]

Step 2:  [tex]y-2=-\dfrac{1}{2}(x-0)[/tex]

             [tex]y-2=-\dfrac{1}{2}x[/tex]

                 [tex]\large\boxed{y=-\dfrac{1}{2}x+2}[/tex]

2. (2, 3) and (-3, 0)

Step 1:  [tex]m=\dfrac{3-0}{2-(-3)}\quad =\dfrac{3-0}{2+3}\quad =\dfrac{3}{5}[/tex]

Step 2:  [tex]y-0=\dfrac{3}{5}(x-(-3))[/tex]

                   [tex]y=\dfrac{3}{5}(x+3)[/tex]

                 [tex]\large\boxed{y=\dfrac{3}{5}x+\dfrac{9}{5}}[/tex]

3. (-4, 4) and (4, 5)

Step 1:  [tex]m=\dfrac{4-5}{-4-4}\quad =\dfrac{-1}{-8}\quad =\dfrac{1}{8}[/tex]

Step 2:  [tex]y-4=\dfrac{1}{8}(x-(-4))[/tex]

             [tex]y-4=\dfrac{1}{8}(x+4)[/tex]

             [tex]y-4=\dfrac{1}{8}x+\dfrac{1}{2}[/tex]

                 [tex]\large\boxed{y=\dfrac{1}{8}x+\dfrac{9}{2}}[/tex]

4. (5, 3) and (-1, 5)

Step 1:  [tex]m=\dfrac{3-5}{5-(-1)}\quad =\dfrac{3-5}{5+1}\quad =\dfrac{-2}{6}\quad =-\dfrac{1}{3}[/tex]

Step 2:  [tex]y-3=-\dfrac{1}{3}(x-5)[/tex]

             [tex]y-3=-\dfrac{1}{3}x+\dfrac{5}{3}[/tex]

                 [tex]\large\boxed{y=-\dfrac{1}{3}x+\dfrac{14}{3}}[/tex]

5. (-3, 3) and (0, -1)

Step 1:  [tex]m=\dfrac{3-(-1)}{-3-0}\quad =\dfrac{3+1}{-3-0}\quad =\dfrac{4}{-3}\quad =-\dfrac{4}{3}[/tex]

Step 2:  [tex]y-3=-\dfrac{4}{3}(x-(-3))[/tex]

             [tex]y-3=-\dfrac{4}{3}(x+3)[/tex]

             [tex]y-3=-\dfrac{4}{3}x-4[/tex]

                 [tex]\large\boxed{y=-\dfrac{4}{3}x-1}[/tex]

find the value a and b for h(x)=x^2+ax+b so h(1)=0 and h'(1)=4

Answers

Answer:

a= -14/3b= 11/3

Step-by-step explanation:

Given Function h(x) = x^2 + ax + bh(1) = 0h'(1) = 4To findValues of a and bSolution

h(1) = 0 ⇒

1^2 + 1*a + b = 0 ⇒a + b = -1      ------------------>   (1)

h'(1) = 4 ⇒ h(4) = 1 ⇒

4^2 + 4*a + b = 1 ⇒4a + b = - 15   ------------------>  (2)

Considering the equation (1) in the equation (2)

3a - 1 = -153a = -14a = - 14/3

and

b = -1 - a b = -1 + 14/3  b = 11/3

Round 7463 to 2 significant figure

Answers

7500, 2 significant figures would be the first two, and 4 would round up to a five with the 6 after it

Answer:

= 7500 with line over 5.

Step-by-step explanation:

4 Sam was asked to place the numbers shown below in order from least to greatest.
1/-0.5, 8,
.*,-0.66, 1.22
After ordering the numbers from least to greatest, what number would Sam have in
the fifth position?
F 1.22
G350%
H 1
3

Answers

Answer:

0 .66

Step-by-step explanation:

Because they were big than other no

Is 1.6x-2.4y=4 a function? ​

Answers

Answer:

Yes it is a function

Step-by-step explanation:

Name a fourth point in plane TUW.

Answers

Answer:

Y

Step-by-step explanation:

i think its Y

The regular price of a baseball hat is $16.85. If Ernesto buys the baseball hat on sale for 20% off the regular price, how much change will
receive after paying with $20?

Answers

Answer:

$6.52

Step-by-step explanation:

The price of the hat would be $13.48 after the discount.

So the amount of change he would receive would be 20-13.48 which is $6.52

answer my question asap
please! I will be forever greatful
have a great day

Answers

Answer:

plS AWNSER MY QUESTION i WIIL  be GrEaTfUl FOrEvEr

Step-by-step explanation:

One week, Brooklyn earned $179.30 at her job when she worked for 11 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $244.50?

Answers

Answer:

Brooklyn would get paid 16.30 hourly. So she will have to work 15 hours the next week to earn 244.50.

Step-by-step explanation:

Divide 179.30 by 11 and you would get 16.30 which is her hourly wage. Then you divide 244.50 by 16.30 to see how many hours she would have to work to earn 244.50.

Answer:

15 Hours

Step-by-step explanation:

179.30 / 11 = $16.3 an hour

244.5 / 16.3 = 15 hours

Which of the following statements about setting up equations to solve word problems is not true?

Answers

Answer:

The answer would be the first one.

Step-by-step explanation:

The first answer, any variable is not true because it would not be logical because when someone is checking your work, they wouldn‘t know what that variable is. And it is logical to list what the problem is asking, AND word problems CAN be solved using an equation.

What is the measure of <1? (ON ALL THE PROBLEMS) And tell if 4 and 5 are right. ( d means degrees)

Answers

Answer:

The most common measure of an angle is in degrees. Here is a brief introduction to the four types of angles: Right angle. With this angle, you can never go wrong. The right angle is one of the most easily recognizable angles. It’s in the form of the letter L, and it makes a square corner (see Figure 2). It has a measure of 90 degrees.

Step-by-step explanation:

This week, Philip spent 13 hours playing basketball, and 9 hours practicing his violin. What is the ratio of the hours spent playing basketball to the hours spent practicing violin? A 13:13 B. 9:9 C. 13:9 D. 9:22​

Answers

Answer:

Step-by-step explanation:

C 13:9

[tex]v^{3)[/tex]-[tex]11v^{2}[/tex]+13v-30)÷(v-10)

Answers

Answer:

[tex]v^2-v+3[/tex]

Step-by-step explanation:

[tex](v^3-11v^2+13v-30)\div (v-10)\\\\\frac{v^3-11v^2+13v-30}{v-10}\\\\Factorize\:\:v^3-11v^2+13v-30\\\\=\frac{\left(v-10\right)\left(v^2-v+3\right)}{v-10}\\\\\mathrm{Cancel\:the\:common\:factor:}\:v-10\\\\=v^2-v+3[/tex]

At a book fair there were 45 fiction books sold. If the ratio of fiction books sold to non-fiction book sold was 5 : 4, how many books were sold total?

Answers

Answer:

25:20 , the total is still 45

show on number : 1/5 2/5 3/5 4/5​

Answers

Answer: We need more information. I can't solve this with no info.

Step-by-step explanation:

answer the question below, topic: scaled topies

Answers

Answer:

The answer is C

Step-by-step explanation:

So, in A, the ratio is 5:3- understand? And in C, the ratio is 10:6. You multiply 5(2) and 3(2), and you get 10:6

-Hope this helped!

Help pleaseeee. I really need help.

Answers

Answer:

10

Step-by-step explanation:

Perform the said operations

Answer:

10

Step-by-step explanation:

16*2 = 32

32/8 = 4

4*15 = 60

60/6 = 10

10

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