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

is y=1-x to the second power linear or nonlinear

Answers

Answer:

Non Linear

Step-by-step explanation:

Its non-linear because when you put X to the second power, it will change the function into a quadratic function

Evaluate the expression. 6(3+5)/4

Answers

Answer:

12

Step-by-step explanation:

6(3+5)/4 add number inside parentheses

6(8)/4 multiply 6 and 8

48/4 divide

12

Hope this helped you!

what is three and seven hundredths standard form

Answers

Answer: I believe the answer is 3.07 but I may be wrong so if you want you can wait for another answer :D

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

please help asap!!!!

Answers

Answer:

The area is 60. Thats all I know TwT

Step-by-step explanation:

Which of the following answers would have
no solution?
X=3
5=3
2=2

Answers

Answer:

no entiendo me explican que significa por fa

The answer to the following would be because the others are possible 5=3

What percent of 56 is 42?
I need an answer ASAP
a
23%
b
42%
c
75%
d
90%

Answers

Answer:

nicki monaj is the queen of rap

Step-by-step explanation:

periodt purr

The answer is C. 75%!

Having some struggles

Answers

Answer:

I think it's 399

___

500

I hope it's well help you

Answer:

the answer is 149/500 :D hope this will help u

–4v – 9z – 9v + 2 – 4v find the sum

Answers

Answer:

-1x(13v+9z+2)

Step-by-step explanation: try solve this :)

Answer

-17v-9z+2

Step-by-step explanation:

First collect the like terms

-4v-4v-9v-9z+2

-17v-9z+2

Since we can no longer add up due to they are unlike term. Therefore our answer is -17v-9z+2

The sale price of a model railroad set is $174. If it was marked down to 25% off of the original price, what was the original price?​

Answers

Answer:

$217.50

Step-by-step explanation:

I) Make an equation to find the answer:

o = s + 0.25s (original price = sale price + 25% of sale price)

II) Solve:

o = 174 + 0.25(174)

o = 217.50

If the price was 174 after the mark down of 25%, then adding 25% back will give you the answer.

174 + 25% (which is 43.5) = $217.5

Hope this helps!

The height of 5 boys is 5.4 ft, 6.12 ft., 7.02 ft. 4.9 ft, and 6.25 ft. What is the average
height of these 5 boys?
What are the operation to solve the problem?
pls answer ​

Answers

Wll not just this question, but whenever you need to find average, you have to:

Wait, for example let's take ur question:

1st step we will add up all the values aka heights:

5.4+6.12+7.02+4.9+6.25=29.69

And then how many values did you take???

Its, 5 values

1st value= 5.4

2nd value=6.12

aaand so on....

However, then we will have to divide the sum by no.of values

29.69÷5=5.938

Aaand this is your FINAL ANSWER

Done!!!!

Hope I helped you!!!

Step-by-step explanation:

For the average height of fhe boys:

[tex] \frac{5.4ft + 6.12ft + 7.02ft + 4.9ft + 6.25ft}{5} \\ = 5.938 \: ft[/tex]

In solving for the average height, we used addition and division operations.

Amjed has 223 cards in his trading card collection. Latif has
8.741 cards in his trading card collection. Using the orders of
magnitude, about how many times more trading cards does Latif
have than Amjed?

Answers

Answer:

The orders of magnitude are numbers of the form:

10^n

where n can be any integer number.

So we can write something like:

"A is n orders of magnitude above B

Now we have the quantities:

Amjed cards = 223

Latif cards = 8741

We want to find how many times more trading cards does Latif  have than Amjed.

Then we need to look at the quotient between the number of cards of Latif and Amjed.

8741/223 = 39.2

Now we need to approximate this to the nearest 10^n number.

(..., 0.1, 1, 10, 100, 1000, ...)

The nearest one to 39.2 is 10.

So we can say that Latif's collection is 10.

and 10 = 10^1

then n = 1

Then we can say that Latif's collection is one order of magnitude above Amjed's collection.

If the lines in a system of equations have different slopes and the same y-intercept, how many solutions does the system have?

Answers

Answer:

289819

Step-by-step explanation:

7.1 as a percentage

Answers

Answer:

its 710%

Step-by-step explanation:

710% hope it helps!

Find the measure of the indicated angle to the nearest degree.
PLS URGENT HELP

Answers

I think the answer will be 31

Use the Distributive Property to rewrite the algebraic expression. 9(3p + 6)

wrong answers reported

Answers

Answer:

27p+54

Step-by-step explanation:

Multiply 9 to all the numbers inside the parenthesis!

Hope this helps! :)

Aubrey's dinner cost $85 She tips the waitstaff 30%, percent for excellent service.

Answers

Answer:

She tipped $25.50 and paid a total of $110.50

Step-by-step explanation:

hope this helps you out

someone pls help me 10 points

Answers

The answer to the system of equationsis (-3,-1)
-3,-1 is the anwser to it

Kayla earns 5% commission on
all jewelry sales. How much
would she earn if she sold $725
worth of jewelry?

Answers

Answer:

725 x0.05=36.25

Step-by-step explanation:

when finding percentage move the decimal over two places, making 5 0.05

HELP QUICK. By combining three equations, it can be shown that a2+b2=c2. One of the equations is c=e+f. Which of the following could be the other two equations?

Answers

Answer:

bc=eb and ca=fa

please tell me if this is actually the right answer

Step-by-step explanation:

bc=eb and ac=fa is wrong

bc=eb and ca=fa is right

cb=eb and ac=fa is wrong

ba=eb and ab=fa is wrong

Ivan wants to rent a boat and spend less than $31. The boat costs $8 per hour, and Ivan has a discount coupon for $9 off. What are the possible numbers of
hours Ivan could rent the boat?

Write your answer as an inequality solved for t.

Answers

Answer:

he could have the boat for 4 hours with the coupon

t or time is the unknown here to be solved.

The hours Ivan rent the boat multiplied with $8 with $9 discount needs to be less than $31. Hence,

8t - 9 < 31

8t < 31 + 9

8t < 40

t < 5

The hours Ivan can rent the boat has to be less than 5. This is because he wants to spend LESS than 31, 31 sharp is not okay.

can someone help solve/understand this?? plzzzz

Answers

Answer:

[tex]y = 4(0.5) {}^{x} [/tex]

Step-by-step explanation:

By looking at your graph, The y intercept is (0,4).

This is an exponential function so it is represented by

[tex]y = ab {}^{x} [/tex]

where a is the vertical stretched and b is the constant rate and x is the nth power.

let plug in 0,4

[tex]4 = ab {}^{0} [/tex]

[tex]b {}^{0} = 1[/tex]

since anything to the 0 power is 1.

[tex]4 = a \times 1[/tex]

[tex]4 = a[/tex]

Know let plug it in to this equation.

[tex]y = 4b {}^{x} [/tex]

Let use 2,1 another point on the graph

[tex]1 = 4b {}^{2} [/tex]

Divide 4 by both sides

[tex]0.25 = {b}^{2} [/tex]

take sqr root of 0.25

[tex]0.5 = b[/tex]

So

the answer is

[tex]y = 4(0.5) {}^{x} [/tex]

PLS HELPPPP I NEED THIS GRADE PLSSSSS...The length of yarn needed to knit one hat is half the length of yarn that is needed to knit a scarf. It takes three times as much yarn to knit a
child's sweater as it does to knit one hat.
a. If It takes 400 yards of yarn to knit a scarf, how much yarn is needed to knit a child's sweater? Use tape diagrams and equations to solve
the problem. Use paper to show your work. Let h represent the number of yards of yarn needed to knit a hat.
It will take yards of yarn to knit a child's sweater.
b. How many total yards of yarn will be needed to knit a hat, a scarf, and a child's sweater?
It will take yards of yarn to knit a hat, a scarf, and a child's sweater

Answers

Answer:

A: 2,400 yards is needed for the child's sweater

you would take 400*2 to get the amount of yarn for the hat (800)take 800 (value of the hat) * 3 (the sweater uses three times as much yarn than the hat) = 2,400.

B: HAT: 800 yards

   SCARF: 400 yards

   SWEATER: 2,400 yards

we already have all of the values present from the first part of the problem, so we would just plug those in for the correct thing.

Step-by-step explanation:

i really hope this helped! if it did please give me brainliest.

Find the constant of proportionality that creates a direct proportion between x and y,
Constant of Proportionality

Answers

Answer:

y=x

Step-by-step explanation:

Something that would create a direct proportionality is y=x because both of them are in an equation which means they are directly proportional

the city of luckett is pilling rock salt for use during ice storms. if the pile from last year is 29 feet high and 14 feet are added this year, how high is the pile of rock salt?

Answers

29 + 14 = 43

The pile of rock salt is 43 feet high

the length of a room is 2 m longer than its breadth .if the area of its floor is 63 sq.m.calculate the length and the breadth of the room​

Answers

Answer:

Given :-

the length of a room is 2 m longer than its breadth .if the area of its floor is 63 sq.m.calculate the length and the breadth of the room

To Find :-

Length and breadth

Answer :-

Let the length and breadth be l + 2 and l

Now,

[tex] \large \sf \: Area = l + 2 \times l [/tex]

[tex] \large \sf \: 63 = l + 2 \times \: l[/tex]

[tex] \large \sf \: 63 = 2l + {l}^{2} [/tex]

[tex] \large \sf \: {l}^{2} + 2l - 63 = 0[/tex]

[tex] \large \sf \: {l}^{2} (9l - 7l) - 63 = 0[/tex]

[tex] \large \sf \: l(l + 9) - 7(l + 9)[/tex]

Either

[tex] \large \sf \: l = - 9[/tex]

or,

[tex] \large \sf \: l = 7[/tex]

Length can't be negative,

So,

L = 9

B = 7

Please mark as brainliest :)

Delia takes out a loan to buy a car for $18,000 with an interest rate of 6.5%. The amount of interest Delia will have to pay is $4,680. Write and solve an equation to determine the number of months her loan is for. Show all of your work and explain how you got your number of months.

Answers

Answer:

Delia pays $4,680 in 4 months

Step-by-step explanation:

Equation:

18,000 * 6.5% = 1170

4680 ÷ 4 = 1170

So, the answer is 4 months this is the equation.

Hope this helps! :)

Mia ran 10 laps in 6 minutes. Shawna ran 5 laps in 4 minutes.
Which person ran at a faster rate? Use mathematics to justify your answer.

Answers

Answer:

mia

Step-by-step explanation:

mia: 10/6 per minute

shawn: 5/4 per minute

common denominator is 12, multiply by 2 and 3

20/12 lap per minute mia

15/12 laps per minute shawn

20 > 15

Mia is faster because if we take 5/4 we will need to get the the minutes to the same so they could both go into 12 minutes. So Mia would run 20 laps in 12 minutes and Shawna would run 15 laps in 12 minutes

retail price= $120
markup percent= 40%
what is the original cost

Answers

I believe it would be 72

The mayor of Chicago is known for being a great host, and he puts a lot of time into preparing for events. For the mayor's next event, he has ordered 100 dinner plates. Each plate is 12 inches in diameter, with gold trim along the edge. How much gold trim is needed in total to prepare the plates? Use 3.14 for pi.




A) 4748 inches
B) 3784 inches
C) 2894 inches
D) 3768 inches

Answers

Answer:

D) 3768 inches

Step-by-step explanation:

Given,

No. of plates = 100

Diameter of each plate = 12inches

So, radius of each plate = 12 / 2 = 6 inches

So, circumference of each plate

[tex] = 2\pi \: r[/tex]

= 2 × 3.14 × 6 inches

= 37.68 inches

Hence, circumference of 100 plates = 100 × 37.68 inches

= 3768 inches

Hence, 3768 inches of gold trim is required (Ans)

Multiplying positive and negative fractions how do you do it ​

Answers

Answer:

I GOTCHU BAEE

Step-by-step explanation:

its just like regular negative numbers

but with fractions

see:

-7/12 x 1/2 = -7/24

negative negates the negative

negative negates the positive

positive keeps the positive positive

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