The length of a rectangle
is 4 meters less than twice the width.
If the area of the rectangle is 240 square meters,
The width is
meters.
The length IS
meters.

Answers

Answer 1

Answer:

length is 20 meters

width is 12 meters

Step-by-step explanation:

x = length

y = width

x = 2y - 4

x×y = 240

using the first equation as substitute in the second equation we get

(2y - 4)×y = 240

2y² - 4y - 240 = 0

the solution to such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

here we are going for y instead of x, but it is the same principle.

a = 2

b = -4

c = -240

y = (4 ± sqrt(16 - 4×2×-240))/4 = (4 ± sqrt(16 + 1920))/4 =

= (4 ± sqrt(1936))/4 = (4 ± 44)/4 = (1 ± 11)

y1 = 1 + 11 = 12

y2 = 1 - 11 = -10

negative side lengths don't make any sense, so, y = 12 meters remains.

x = 2y - 4 = 2×12 - 4 = 24 - 4 = 20 meters


Related Questions

i bought a few pies & cut each pie into 6 slices. if i ended up with 42 slices of pie , how many pies did i buy.

Answers

Answer:

you bought 7 pies.

Step-by-step explanation:

42/6 = 7. hope this helps

Answer:

you bought 7 pies

Step-by-step explanation:

7*6=42

Please help me rq!! i need help

Answers

Answer:

x = 2

Step-by-step explanation:

The volume (V) of a cuboid is calculated as

V = lbh ( l is length, b is breadth, h is height )

Here l = 10x , b = [tex]\frac{7}{4}[/tex] , h = 2 , then

V = 10x × [tex]\frac{7}{4}[/tex] × 2 = 70 , that is

20x × [tex]\frac{7}{4}[/tex] = 70

5x × 7 = 70

35x = 70 ( divide both sides by 35 )

x = 2

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

Since L × W × H = V, we get

[tex]10x*\frac{7}{4}*2=70\\10x*\frac{7}{4}=35\\10x=20\\x=2[/tex]

Fractions, decimals, and percents are all used to describe a
part of something. Which of the 3 types do you think is most
commonly used? Why do you suppose this is true?

Answers

Answer:

Step-by-step explanation:

I think that Percents are used very commonly all around us every day. It gives us a better vision in our mind of the quantity than decimals or fractions. We see Percents everywhere. In the shopping mall for discounts, math homework and work. So overall, percents are most commonly used.

Hope that helps!

Solve for n please, with work , thank you!

Answers

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] \sf1 - 3 n \gt - 1 - 4 ( 2 n - 8 )[/tex]

Solve the inequality algebraically.

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \sf1 - 3 n \gt - 1 - 4 ( 2 n - 8 )[/tex]

Use the distributive property to multiply -4 by 2n-8.

[tex] \sf1-3n>-1-8n+32 [/tex]

Add -1 and 32 to get 31.

[tex] \sf1-3n>31-8n [/tex]

Add 8n to both sides.

[tex] \sf1-3n+8n>31 [/tex]

Combine -3n and 8n to get 5n.

[tex] \sf1+5n>31 [/tex]

Subtract 1 from both sides.

[tex] \sf5n>31-1 [/tex]

Subtract 1 from 31 to get 30.

[tex] \sf5n>30 [/tex]

Divide both sides by 5. As 5 > 0, the direction of the inequality remains the same.

[tex] \sf \: n>\frac{30}{5} \\ [/tex]

Divide 30 by 5 to get 6.

[tex] \boxed{ \boxed{ \bf \: n>6 }}[/tex]

hi there! the answer should be n > 6 :))

Ay, anyone able to help me out with this, ASAP please!

Answers

4x+12 ≤ 8




Please give my answer the brainliest

PLEASE EXPLAIN I'LL GIVE BRAINLY!!!



For this exponential function, what is the output value (y), when the input value (x) is 1?


y=4x3^x


(1,[?])

Answers

Answer:

y = 12

Step-by-step explanation:

Given

y = 4 × [tex]3^{x}[/tex] ← substitute x = 1

y = 4 × [tex]3^{1}[/tex] = 4 × 3 = 12

that is the point (1, 12 )

can someone solve this for me?

Answers

Since Q is smaller than P, the scale factor must be less than 1. Multiplying by a number less than 1 causes things to become smaller.

What would you multiply 4 by to make it 3? 4 * 3/4 = 3.

The answer is 3/4.

Also 3/4 is the only answer less than one, from the options given.

Pls help, show work, I’ll give brainliest

Answers

Answer:

A= 4.5 R= 2 E= 26 L = 91 W= 5 H= 3.8 T= 11 M= 999

Step-by-step explanation:

A.)

.5 x d. d= 9, so .5 x 9 is 4.5

R.)

1/5 x q. Q= 10 so 1/5 x 10 is 2

E.)

2(p+q). p=3 and q= 10, so first add 3+10=13 then × 2x13=26

L.)

100-d. d=9, so 100-9= 91

W.) 3q/2p q= 10 and p= 3, so 3×10= 30, and 2×3=6 , 30/6 can be simplified to 5 because 30÷6=5

H.)

3.8(q-d) q= 10 and d=9, 10-9=1 and 1×3.8= 3.8

T.)

p+q+d/2 , p= 3, q= 10, d=9, so 3+9+10=22, and 22/2 can be simplified to 11

M.)

q×q×q. Q= 10, and 10x10x10= 1,000, and 1,000-1= 999

Hope this helps, took me a long time lol have a good day/night!

Algebra II
Need help on the graph and table
PLEASE
ASAP

Answers

Answer:

what part do you need help with

Step-by-step explanation:


Pls help I’ll give you 35 points A book is on sale for
25% off. The sale
price is $12. What
was the original price
of the book? What
was the amount of
the discount?

Answers

The original price of the book is 16$ the discount is 4$. 4$ is 25% of 16$

36 ÷ 9 + 48 - 10 ÷ 2

Answers

[tex]36:9+48-10:2=\\\\=4+48-5=52-5=\boxed{47}[/tex]

PEMDAS RULE

Answer:

47

Step-by-step explanation:

Parenthesis

Exponent

Multiplication

Division

Addition

Subtraction

36 ÷ 9 + 48 - 10 ÷ 2 4 + 48 - 10 ÷ 2 4 + 48 - 5 52 - 5 47

If each side of tangle is increased by 25 %, then find the percentage increase or decrease in area

Answers

Answer:

Step-by-step explanation:

Answer:

If each side of tangle is increased by 25 %, then find the percentage increase or decrease in area

Step-by-step explanation:

Use suitable transformation on [tex]\left[\begin{array}{ccc}1&2\\3&4\end{array}\right][/tex] to convert it into an identity matrix.

Answers

Answer:

hope it helps you .......

thanks

HELP PLEEAASSEEE!!!!!!!
Drag the tiles to the correct boxes to complete the pairs.
Match the numbers in standard notation with the corresponding numbers in scientific notation.

Answers

8.64E9 = 8640,000,000
8.64E14 = 864,000,000,000,000
8.64E11 = 864,000,000,000
8.64E13 = 86,400,000,000,000

A cylinder has a volume of 100cm and a radius
of 5 cm. What is its height in centimeters? Leave
the answer in terms of .

Answers

Answer:

1.27cm

Step-by-step explanation:

Volume(v) =100 cm

Radius(r) =5cm

Height(h) =?

Now,

Volume of cylinder (v) =¶r^2h

100 =22/7*5*5*h

100=78.57h

H=100/78.57

H=1.27cm

Height of cylinder is 1.27cm

please help meeeee..... you already know that ill mark brainliest.

Answers

Hello :D

To work this out you need to add everything up.

3 + 6.3 = 9.3

9.3 + 4.5 = 13.8

18.6 - 13.8 = 4.8

N = 4.8

Solve each equation. Be sure to check for extraneous solutions 53=5|p-4|+8

Answers

53=5p+28
Got answer from the lord

write .0015 in scientific notation please help

Answers

0.0015 in scientific notation

= 1.5 × 10-3

1.5×10^3

hope i helped!

m - 4 = 2m
Check your solution if possible

Answers

Answer:

m - 4m = 2m

-4 = 2m -m

- 2 = m

Answer:

m = -4

Step-by-step explanation:

Add 4 to both sides of the equation

Simplify

Add the numbers

= 2 + 4

Subtract 2 from both sides of the equation

=2+4

−2=2+4−2

Simplify

Divide both sides of the equation by the same term

Simplify

Simplify (4x - 6) + (3x + 6).
O 7x
O 7x - 12
Ох
O 7x + 12

Answers

Answer:

(4x-6)+(3x+6)

=4x-6+3x+6

=7x

Answer:

7x

Step-by-step explanation:

[tex](4x - 6) + (3x + 6)[/tex]

[tex]4x - 6 + (3x + 6)[/tex]

[tex]4x - 6 + 3x + 6[/tex]

[tex]4x + 3x[/tex]

[tex] = 7x[/tex]

45. ART The area of a square painting is 3600 square inches. Find the side
length of the painting.

Answers

Square area is s x s
60 is the answer

The first side of a triangle has length 3y + 5. The second side's length is y - 4. The third side's length is 6y. Write the perimeter in simplified form.

Answers

Answer:

(3y + 5) + (y - 4) + 6y

4y + 1 + 6y

10y + 1

(Not sure)

Write in expanded form

0.98

1.32

Answers

Answer:

1.32 = (1 * 100) + (3 * 1/101) + (2 * 1/102)

1.32 = (1 * 1) + (3 * 1/10) + (2 * 1/100)

1.32 = 1 + 3/10 + 2/100

1.32 = 1 + 0.3 + 0.02

Step-by-step explanation:

Find the Circumference of The Circle with Radius 3.5cm​

Answers

Answer:

21.99cm

2pier

have a good day ❤️

[tex]\sqrt{x + 7 + 7 = 12[/tex]

Answers

Answer:

-2

Step-by-step explanation:

7 +7= 14. 14 + -2 = 12

find the simplest answer for 3% of 400

Answers

Answer:

3% of 400 is equal to 12

Step-by-step explanation:

Solving these kinds of problems is actually quite simple. For this one you would simply multiply 0.03 by 400 because 0.03 is the decimal form of 3%.

Hope that helps!

expand and simplify- 2(2x+3)+3(5x+4)

Answers

Answer:

11x+6

Step-by-step explanation:

If in ftont of bracket is -2 :

[tex]-2(2x+3)+3(5x+4)=\\\\=-4x-6+15x+12=\\\\=-4x+15x-6+12=\boxed{11x+6}[/tex]

If in front of bracket is 2 :

[tex]2(2x+3)+3(5x+4)=\\\\=4x+6+15x+12=\\\\=4x+15x+6+12=\boxed{19x+18}[/tex]

Classify the following as an algebraic expression, a mathematical expression, an equation, or an inequality.

15+2(9-4)
A. Mathematical expression
B. Equation
C. inequality
D. Algebraic expression

Answers

Your answer would be A because most algebraic expressions contain letters while mathematics expressions really just cover the basics

You bake a batch of muffins. You freeze 6 muffins and share the rest equally among yourself and 2 friends. Write an expression that can be used to determine the number of muffins,m, each friend gets

Answers

Answer:

[tex]m=\displaystyle \frac{t-6}{3}[/tex]

Step-by-step explanation:

Hi there!

Let t equal the total number of muffins.

[tex]t-6[/tex] ⇒ This represents freezing the 6 muffins

[tex]\displaystyle \frac{t-6}{3}[/tex] ⇒ This represents sharing the remaining muffins among 3 people

Therefore, the expression would be [tex]\displaystyle \frac{t-6}{3}[/tex].

If you would like to change this into an equation, it would be [tex]m=\displaystyle \frac{t-6}{3}[/tex], where m is the number of muffins that each person gets.

I hope this helps!

If (89)p = 818, what is the value of p?

Answers

Answer:

sorry if this is wrong but i think its 9 17/89

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