3 times the length of a field increased by 4 times the width gives 24 units. Two times the length decreased by 3 times the width is -1 unit. Find the dimensions

Answers

Answer 1

Answer:

width = 3

length = 4

Step-by-step explanation:

Ok so you can form a system of equations where w is the width and l is the length:

3l + 4w = 24

2l - 3w = -1

you want to eliminate one of the variables and then solve, so you can first take the top equation and multiply both sides by 2:

6l + 8w = 48

next, multiply the second equation by 3:

6l - 9w = -3

now that both include 6l, you can subtract the two equations

6l + 8w = 48

- (6l - 9w = -3)

17w = 51

divide both sides by 17

w = 3

Plug w = 3 into the equation 3l + 4w = 24:

3l + 4 * 3 = 24

3l + 12 = 24

subtract 12 from both sides

3l = 12

divide both sides by 3

l = 4


Related Questions

g(n) = 3n − 3 f (n) = 3n + 5 Find g( f (n))

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Answer:

Your answer is

9n +12

Mark my answer as brainlist . I need that urgently . Folow me for more answer.

Step-by-step explanation:

what does 7x^2+12x-3 equal?

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Answer:

23

Step-by-step explanation:

Hi I need help can someone simplify this?

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The simplified expression is c^5

Answer:

c^5

Step-by-step explanation:

:)

helllllllllpppppp!!!!!!

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Drop=decent
Effort=exertion
Wrapped=enveloped
Move=maneuver

15% of 130 using the decimal method

Answers

Answer:

0.3846 is a decimal and 38.46/100 or 38.46%is the percentage for 50/130

Step-by-step explanation:

Pls mark me in brain list

Answer:

0.3846 is a decimal and 38.46/100 or 38.46%is the percentage for 50/130

Step-by-step explanation:

Evaluate the expression when when c = 3 and d = 33

Answers

Answer:

45

Step-by-step explanation:

1 4/5 as a decimal thank you (will be giving brainliest to first answer that is correct) : D

Answers

Answer:

yes its decimal

Step-by-step explanation:

The given fraction into percent and decimal are; 2.8  and 280%

How to convert percent to fraction and decimal?

Percent counts the number compared to 100.

There is a fraction, containing numerator(upper value) and denominator(lower value).

So, if we have a%, that means for each 100, there are 'a' parts. If we divide each of them with 100, we get,

For each 1, there are a/100 parts.

Thus, 50% = 50/100 = 0.50 (in decimal)

There is a fraction, containing numerator(upper value) and denominator(lower value).

The mixed fraction contains a sum of whole number and a proper fraction.

WE have been given a fraction as;

14/5

Then Fraction Decimal Percentage

2.8  and 280%

The given fraction into percent and decimal are; 2.8  and 280%

Learn more about fraction here:

https://brainly.com/question/27010538

#SPJ2

Finishe the lyrics.......ive been watching you for someone time can't stop staring at those________​

Answers

Answer:

ocean eyes i looked this up

Step-by-step explanation:

law of sines and law of cosines

Answers

Answer:

Step-by-step explanation:

[tex]1.\\ \\ \frac{sin148}{25}=\frac{sinx}{12}\\ \\ x=sin^{-1}\frac{12sin148}{12}\\ \\ x=32^o\\ \\ 2.\\ \\ x^2=42^2+16^2-2(42)16cos120\\ \\ x^2=2692\\ \\ x=\sqrt{2692}\\ \\ 3.\\ \\ 19^2=17^2+14^2-2(17)14cosx\\ \\ x=cos^{-1}\frac{124}{476}\\ \\ x=74.9^o\\ \\ 4.\\ \\ \frac{sin22}{15}=\frac{sin(180-48-22}{x}\\ \\ x=\frac{15sin110}{sin22}\\ \\ x\approx 37.63[/tex]

Answer:

4. [tex]\displaystyle 38 ≈ x[/tex]

3. [tex]\displaystyle 75° ≈ m∠X[/tex]

2. [tex]\displaystyle 52 ≈ x[/tex]

1. [tex]\displaystyle 15° ≈ m∠X[/tex]

Step-by-step explanation:

Before we begin, here are the formulas for both laws:

Solving for Angles

[tex]\displaystyle \frac{x^2 + y^2 - z^2}{2xy} = cos∠Z \\ \frac{x^2 - y^2 + z^2}{2xz} = cos∠Y \\ \frac{-x^2 + y^2 + z^2}{2yz} = cos∠X[/tex]

Do not forget to use [tex]\displaystyle cos^{-1}[/tex]in the end or you will throw the result off!

Solving for Edges

[tex]\displaystyle y^2 + x^2 - 2yx\:cos∠Z = z^2 \\ z^2 + x^2 - 2zx\:cos∠Y = y^2\\ z^2 + y^2 - 2zy\:cos∠X = x^2[/tex]

Take the square root of the end result or you will throw it off!

-----------------------------------------------------------------------------------

Solving for Angles

[tex]\displaystyle \frac{sin∠Z}{z} = \frac{sin∠Y}{y} = \frac{sin∠X}{x}[/tex]

Do not forget to use [tex]\displaystyle sin^{-1}[/tex]in the end or you will throw the result off!

Solving for Edges

[tex]\displaystyle \frac{z}{sin∠Z} = \frac{y}{sin∠Y} = \frac{x}{sin∠X}[/tex]

_____________________________________________

4. [tex]\displaystyle \frac{15}{sin\:22} = \frac{x}{sin\:110} \hookrightarrow \frac{15sin\:110}{sin\:22} = x \hookrightarrow 37,627178911... = x \\ \\ 38 ≈ x[/tex]

3. [tex]\displaystyle \frac{-19^2 + 17^2 + 14^2}{2[17][14]} = cos∠X \hookrightarrow \frac{-361 + 289 + 196}{476} = cos∠X \hookrightarrow 0,2605042016... = cos∠X; 74,900018217...° = cos^{-1}\:0,2605042016... \\ \\ 75° ≈ m∠X[/tex]

2. [tex]\displaystyle 16^2 + 42^2 - 2[42][16]\:cos\:120 = x^2 \hookrightarrow 256 + 1764 - 1344\:cos\:120 = x^2 \hookrightarrow \sqrt{2692} = \sqrt{x^2}; 2\sqrt{673}\:[or\:51,884487084...] = x \\ \\ 52 ≈ x[/tex]

You could have also used the Law of Sines sinse the base angles are congruent [30°].

1. [tex]\displaystyle \frac{sin\:148}{25} = \frac{sin∠X}{12} \hookrightarrow \frac{12sin\:148}{25} = sin∠X \hookrightarrow 0,2543612468... = sin∠X; 14,735739332...° = sin^{-1}\:0,2543612468... \\ \\ 15° ≈ m∠X[/tex]

I am joyous to assist you at any time.

A ray, line or segment that cuts a segment in half and create right angles is called__

Answers

Mid segment or midpoint

help this makes no sense to me and its due in 1 day

Answers

First we can find the line RT which is the square root of 40^2-32^2 which is equal to 24.

RT=24

Right Triangle Altitude Theorem Part: The measure of the altitude drawn from the vertex of the right angle of a right triangle to its hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse.

The geometric mean of 32 and TS is 24, so set up equation.

2nd root or square root of 32*TS=24

32*TS=576

TS=18

QS=18+32=50

I hope this answer helped if you have any questions feel free  to ask me in the comments.

can someone help me find the area and perimeter please?​

Answers

Answer:

Step-by-step explanation:

Remember that the formula to get the area of a right triangle is base times height divided by 2, so to find the area:

5 x 12 = 60/2 = 30

Area of this triangle is 30.

To find the perimeter, add all the sides:

5 + 12 + 13 = 30.

Perimeter of this triangle is 30.

HELP ME IT WOULD MEAN A LOT​

Answers

Answer:

123

Step-by-step explanation:

72+51=123

123 - 72 = 51

Answer:

72+51=123

123 - 72 = 51

Step-by-step explanation:

Convert (-3, 0) to polar form.

A. (3, 0 degrees)
B. (-3, 180 degrees)
C. (3, 180 degrees)
D. (3, 360 degrees)

Answers

Answer:

The answer would be A. (3,0)

there are 4 pizzas and 3 people. how much would each eraser get if each person eats the same amount.​

Answers

Answer:

Each person should share 1 and 1/2

The scalene triangle ABC is translated 2 units to the right on a coordinate plane to form the scalene triangle DEF. The measure of segment AB=6 units, the measure of segment BC=5 units, the measure of segment CA=4 units, and m∠ABC=41°. Which of the following is a corresponding measure of triangle DEF?

Answers

Answer:

C: EF = 4 Units

Step-by-step explanation:

Solve the equation.

-5(x+3)=20

Answers

Answer: x= -7

Step-by-step explanation:

-5 (x+3) =20

Divide both sides by -5:

-5(x+3)/ -5 = 20/-5

Simplify:

x+3= -4

Subtract 3 from both sides:

x+3-3 + -4-3

Simplify:

x= -7

Distribute the -5.
Add 15 to both sides
Divide by -5.

5-1(b+2) =

3+4(3m+2n) =

Answers

hope this helps! feel free to clarify

Answer:

5-1(b+2) = 5-b-2=3-b

3+4(3m+2n) =3 +12m +8n

A six-sided Fair number cubis rolled 100 times as part of an experiment. The frequency of the role of the number 3 is 20. W hich statement about rolling a 3 is correct

Answers

Answer:

The Theoretical probability is 1/6.

The experimental probability is 1/5

Step-by-step explanation:

Given

Rolls: 100

Outcome of 3 : 20

Required

Which of the options is true (See attachment for options)

From the attachment, we understand that the question requires that we calculate the experimental and theoretical probability.

The experimental probability (E) is calculated as thus:

[tex]E = \frac{Outcomes}{Total\ Rolls}[/tex]

[tex]E = \frac{20}{100}[/tex]

[tex]E = \frac{1}{5}[/tex]

The theoretical probability (T) is calculated as thus:

A cube has 6 faces, one of which is the face 3.

So, T is:

[tex]T = \frac{n(face\ 3)}{n(Total)}[/tex]

[tex]T = \frac{1}{6}[/tex]

Hence, C is true

What is the exact length of each side?

Answers

Answer:

[tex]6a^{2} \sqrt{ab}[/tex]

Step-by-step explanation:

area of square = side x side

thus, each side = square root of area

[tex]\sqrt{36a^5b}[/tex] = 6[tex]\sqrt{a^{4} ab}[/tex] = 6[tex]a^{2}[/tex][tex]\sqrt{ab}[/tex]

Szklanka ma pojemnóść 250ml czyli 250cm³. Ile szklanek można napełnić wodą z litrowej butelkki​

Answers

Answer:

75cm

Step-by-step explanation:

Tell whether the two ratios form a proportion. 120 baskets made in 3 days and 720 baskets made in 18 days.

Answers

Answer:

Yes they form a proportion.

Step-by-step explanation:

120:3 = 720:18 because:

3x6=18 so multiply 120 by 6 and you get 720. Which means the ratios are proportionate.

Find the distance between the two points rounding to the nearest tenth (if necessary).
(-3,0) and (5, -3)

Answers

Use the distance formula to find the distance.

an examination. 30% of the candidates
ailed. If 210 candidatęs passed, how many
Candidates wrote the examination?
1.63 B. 147 C. 210 D. 300 E. 2100

Answers

Answer: D

Step-by-step explanation:

If 30% failed then (100-30)% passed

That is 70%

let x be the number of students that wrote the exam

(70/100)x=210

x=21000/70

x=300

1. {2, 7, 14, 12, 13, 21, 12, 12, 6, 8, 12)
Mean -
Median -
Mode -

Answers

Step-by-step explanation:

mean is when you add all of them up and then divide by how many numbers there are.

median is the number In the middle .the middle number is 21 .

mode : number that appears the most . answer is 12

Which statement is true about their work? Neither student solved for k correctly because K = 2 and StartFraction 1 over 8 EndFraction. Only Adler solved for k correctly because the inverse of addition is subtraction. Only Erika solved for k correctly because the opposite of One-half is Negative one-half. Both Adler and Erika solved for k correctly because either the addition property of equality or the subtraction property of equality can be used to solve for k.

Answers

Question:

Adler and Erika solved the same equation using the calculations below.

Adler’s Work

[tex]\frac{13}{8}= k + \frac{1}{2}[/tex]

[tex]\frac{13}{8} - \frac{1}{2} = k + \frac{1}{2} -\frac{1}{2}[/tex]

[tex]\frac{9}{8}= k[/tex]

Erika’s Work

[tex]\frac{13}{8}= k + \frac{1}{2}[/tex]

[tex]\frac{13}{8}+ (-\frac{1}{2}) = k + \frac{1}{2} + (-\frac{1}{2}).[/tex]

[tex]\frac{9}{8}= k[/tex]

Which statement is true about their work?

Answer:

Both Adler and Erika solved for k correctly because either the addition property of equality or the subtraction property of equality can be used to solve for k.

Step-by-step explanation:

Given

[tex]\frac{13}{8}= k + \frac{1}{2}[/tex]

Required

What is true about Adler and Erika's workings

Analyzing Adler's work;

[tex]\frac{13}{8}= k + \frac{1}{2}[/tex]

Adler subtracted 1/2 from both sides

[tex]\frac{13}{8} - \frac{1}{2} = k + \frac{1}{2} -\frac{1}{2}[/tex]

Solving the expression on the left-hand side

[tex]\frac{13}{8} - \frac{1}{2} = \frac{13 - 4}{8} = \frac{9}{8}[/tex]

Solving the expression on the right-hand side

[tex]k + \frac{1}{2} - \frac{1}{2} = k[/tex]

Hence:

[tex]\frac{9}{8}= k[/tex]

So, Adler's workings is correct

Analyzing Erika's work;

[tex]\frac{13}{8}= k + \frac{1}{2}[/tex]

Erika added -1/2 to both sides

[tex]\frac{13}{8}+ (-\frac{1}{2}) = k + \frac{1}{2} + (-\frac{1}{2}).[/tex]

Solving the expression on the left-hand side

[tex]\frac{13}{8} + (-\frac{1}{2}) = \frac{13}{8} - \frac{1}{2} = \frac{13 - 4}{8} = \frac{9}{8}[/tex]

Solving the expression on the right-hand side

[tex]k + \frac{1}{2} + (-\frac{1}{2}) =k + \frac{1}{2} - \frac{1}{2} = k[/tex]

Hence:

[tex]\frac{9}{8}= k[/tex]

So, Erika's workings is correct

Both workings are correct

Answer: Both Adler and Erika are correct

Step-by-step explanation:

On Edge 2021

What is the value of X ?

Answers

Answer:

i think x = 4

Step-by-step explanation:

30/25 = 4x-4/20
25(4x-4)=30x20
100x-100=600
100x=700
x=7

What is 36 divided by 1.5 in long division

Answers

Answer: 24

To calculate with long division when the divisor is a decimal, add zeroes in both the dividend and divisor. This means you get 360 ÷ 15.

From here, just do normal calculation and you get 24 as your answer.

Epress the ratio of cooking oil(80ml) to the milk (250 ml) of the recipe​

Answers

Answer:

8:25

Step-by-step explanation:

Hope this helps!

Question 1 of 5
Given a sphere with a diameter of 6 cm, find its volume to the nearest whole
number.
A. 113 cm3
B. 37 cm3
C. 85 cm3
D. 905 cm3

Answers

Answer:

A. 113cm³

Step-by-step explanation:

Finding the volume with diameter,

[tex]v = \frac{1}{6 }\pi {d}^{3} [/tex]

[tex]v = \frac{1}{6} \times \frac{22}{7} \times {6}^{3} [/tex]

[tex]v = 113.14cm^{3} [/tex]

to the nearest whole number

[tex]v = 113 {cm}^{3} [/tex]

Answer:

113 cm^3

Step-by-step explanation:

I Just took the quiz:)

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