The length of a rectangle is 2 yards less than 3 times the width.The perimeter is 68 yards. Find the width

Answers

Answer 1

Answer:

length = (3*width) -2

length + 2 = 3*width

width = (length +2) / 3

2*length + 2*width = 68

OR: 2*length = 68 -2*width

If length = (3*width) -2 then

2*length = 6 * width -4

therefore,

6 width -4 = 68 -2 width

8 width = 72

width = 9

Since 2 length + 2 width = 68

then 2 length = 68 -2 width

2 length = 68 -18

length = 25

Step-by-step explanation:


Related Questions

(X+9)(x-2)-9x-6 equivalen to

Answers

Answer:

hrheje

Step-by-step explanation:

bdhsjsiskskdkdhdhennsjss

If x-5/4 = -9/5, then x =

Answers

Answer:

[See Below]

Step-by-step explanation:

✦ First change the improper fractions to decimals:

  ✧ ⁵⁄₄ = 1.25

  ✧ -⁹⁄₅ = -1.8

✦ Then divide:

  ✧ 1.25 ÷ -1.8 = -0.69

So x would be -0.69 in decimal form.

~Hope this helps Mate. If you need anything feel free to message me.

If x2 + ax + b = (x – 9)(x + 9), what is the value of
ab?
A) -81
B)
0
C)
81
D) 1458​

Answers

Step-by-step explanation:

X2+ax+b=(x-9)(x+9)

X2+ax+b=x2-9x+9x-81

X2+ax+b=x2-81

therefore,a=0,b=(-81)

Then , ab = 0×-81 = 0

Answer:

             B) 0

Step-by-step explanation:

x² + ax + b = (x – 9)(x + 9)

x² + ax + b = x² – 9x + 9x – 81

x² + ax + b = x² + 0x – 81

x²=x²      +ax = +0x        +b = -81

                    a = 0            b = -81

ab = 0(-81) = 0    

             

Math problem giving brainlist and points!

Answers

Answer:

2c + 15 = 25

Step-by-step explanation:

The total he wants to earn is $25, so we know the equation must be an expression that equals 25.

____ = 25

He earns a fixed $15. He also earns $2 per customer.

The total he earns is the sum of the fixed amount ($15) and the amount he earns per customer. Let the number of customers be c. The amount he earns from the number of customers is 2c.

fixed amount + amount per customer = 25

15 + 2c = 25

2c + 15 = 25

Answer: 2c + 15 = 25

brainliest for correct answer

Answers

Answer:

m=14

n=32

p=64

Step-by-step explanation:

B=M, so 154=11m

m=154/11

m=14

E=P, so 118=n+86

n=118-86

n=32

A=L, so 116=180-p

p=180-116

p=64

help me please with this question ​

Answers

Answer:

second option

Step-by-step explanation:

Given

A = 4xy ( to isolate x divide both sides by 4y )

[tex]\frac{A}{4y}[/tex] = x , that is x = [tex]\frac{A}{4y}[/tex]

Write the integer that represents a loss of 7 yards​

Answers

Answer:

-7

Step-by-step explanation:

Since we are losing something, it is reasonably assumptive that we have to have a negative.

So a loss of 7 yards would be an integer of -7.

what is the average speed of a train that covers 80 km in 1 hour, 200 km in 2 hours and 420 kn in 4 hours

Answers

Answer:

95

Step-by-step explanation:

80+(200 divided by 2)+(420 divided by 4)=285

285 divided by 3=95

Susan will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $70 and costs an additional $0.40 per mile driven. The second plan has no initial fee but costs $0.60 per mile driven. How many miles would Susan need to drive for the two plans to cost the same?

Answers

Answer:

350 miles

Step-by-step explanation:

Let x represent the miles driven

The cost with the first plan will be represented by 0.40x + 70

The second plan will be represented by 0.60x

Set these 2 expressions equal to each other and solve for x:

0.40x + 70 = 0.60x

70 = 0.20x

350 = x

So, Susan will have to drive 350 miles for the cost to be the same

PLEASE HELP!! ASAP!!

Answers

Answer:

9.85

Step-by-step explanation:

you can use the Pythagoras theorem

[tex]a^2+b^2=c^2[/tex]

with c the hypotenuse

[tex]9^2+4^2=c^2\\\\81+16=c^2\\\\97=c^2\\\\c=\sqrt{97}[/tex]

which is aprox

9.85

ups sorry :(

Answer:

Remeber that

[tex]A^{2}+ B^{2} =C^{2}[/tex]

so

[tex]4^{2}+9^{2}=C^{2}[/tex]

16+81 = [tex]C^{2}[/tex]

97 = [tex]C^{2}[/tex]

Take the square root of both sides

[tex]\sqrt{97} = \sqrt{C^{2} }[/tex]

9.85 = C

Find the midpoint of the segment with the following endpoints. (10,6) and (6,10)

Answers

Answer:

(8,8)

Step-by-step explanation:

Which statement is true Every real number is an integer Every integer is a counting number Every integer is a rational number Every terminating decimal number is an irrational number

Answers

Answer:

C.  Every integer is a rational number

Step-by-step explanation:

Integers are whole numbers which could be positive or negative and zero. Examples of integers are 330, 21, 10,052, 0, -425, -879, etc. Fractions are not integers.  Rational numbers are numbers that are expressed as the ratio of two integers. So numbers that have integers as their numerators and denominators can be rightly said to be rational numbers. Examples are, 5/7, 10,111/880, -365/15.

Since both the numerators and denominators are whole numbers, the entire figures can be said to be rational numbers. So, fractions are rational numbers.    

PLS answer will mark brainliest⦁ The average age of a family of 5 is 30 years. The average of the 3 children in the family is 12 years. If the mother is 4 years as young as the father, calculate the age of the father.

Answers

Answer:

20

Step-by-step explanation:

Evaluate g(x) = 4 - 3x when x = -3, 0, and 5

Answers

g(x)= 4-3(-3) would solve to be g(x)=13
g(x)= 4-3(0) would solve to be g(x)= 4
g(x)= 4-3(5) would solve to be g(x)= -19

Hope this helps

The values of the given function when x = -3, 0, and 5 are 13, 4, and -11 respectively

From the question,

The given function is g(x) = 4 - 3x

We are to evaluate the function for the given values of x

For when x = -3

put the value x = -3 into the function

That is,

g(x) = 4 - 3x becomes

g(-3) = 4 - 3(-3)

g(-3) = 4 + 9

g(-3) = 13

For when x = 0,

Put the value x = 0 into the function

That is,

g(x) = 4 - 3x becomes

g(0) = 4 - 3(0)

g(0) = 4 - 0

g(0) = 4

For when x = 5,

Put the value x = 5 into the function

That is,

g(x) = 4 - 3x becomes

g(5) = 4 - 3(5)

g(5) = 4 - 15

g(5) = -11

Hence, the values of the given function when x = -3, 0, and 5 are 13, 4, and -11 respectively

Learn more here: https://brainly.com/question/18684293

Write an expression with a negative exponent that has a value between 0 and 1/2. Please answer ASAP, thank you!

Answers

Answer:

4^-2

Step-by-step explanation:

Answer:

[tex] 2^{-2} [/tex]

Step-by-step explanation:

1/4 is between 0 and 1/2.

[tex] \dfrac{1}{4} = \dfrac{1}{2^2} = 2^{-2} [/tex]

Start 3 end 10 what present did it go up

Answers

7 is the answer 3+7=10

Solve the literal equation −cy+2=3d+7y for y.

Answers

Answer:

y = (2-3d)/(7+c)

Step-by-step explanation:

-cy + 2 = 3d + 7y

To solve this equation in terms of y, we must first move all of the terms containing a y to one side of the equation and move all of the other terms to the other side.

Our first step is going to be to add cy to both sides of the equation.

- cy + cy + 2 = 3d + 7y + cy

2 = 3d + 7y + cy

Next, we can subtract 3d from both sides of the equation.

2 - 3d = 7y + cy

Next, we can factor out a y from the right side of the equation.

2 - 3d = y (7 + c)

Finally, we can divide both sides by the quantity (7+c) to get the y alone on the right side of the equation.

(2-3d)/(7+c) = y

Therefore, your answer is y = (2-3d)/(7+c).

Hope this helps!

What is the simplified expression for 5 to the power of 4 multiplied by 5 to the power of 3 over 5 to the power of 5

Answers

Answer:

25

Step-by-step explanation:

5^4 x 5^3/5^5

5^(3+4)/5^5

5^7/5^5

5^(7-5)

5^2

25

Answer:

5 to the power of 2.

Step-by-step explanation:

Susie ran a race. She ran 555 miles an hour, and the race took her ttt hours to complete. How long was the race? Write your answer as an expression.

Answers

1000 is it i think for sure

Answer:

5t

Step-by-step explanation:

Which statement about the number −3 is true? Select all that apply.
A. It is a natural number.
B. It is a whole number.
C. It is an integer.
D. It is a rational number.
E. It is an irrational number.

Answers

Answer:

I'm pretty sure it's c and d

congruence transformation what is y

Answers

Answer:

-4.

Step-by-step explanation:

The bracket should be (-4) as AD which is height +2 has been shifted down to EF which is height -2.

solve equation -12=v+8

Answers

Step-by-step explanation:

-12 = v + 8

v + 8 = -12

v = -12 - 8

v = -20

m−4=2m What would M=

Answers

Answer:

m = -4

Step-by-step explanation:

m - 4 = 2m

Switch sides.

2m = m - 4

Subtract m from both sides.

m = -4

Answer:

-4

Step-by-step explanation:

cause mafs

Simplify. 3(2a+4b+7) +6a *Plz explain your answer*

Answers

Answer:

3(2a+4b+7)+6a = 12a+12b+21

12a + 12b + 21 you gotta use the distribute property

What is the volume of the triangular prism?
3.2 cm
6 cm
5.4 cm
A. 8.64 cm
B. 17.28 cm3
C. 51.84 cm
D 103.68 cm

Answers

Answer:

C. 51.84 cm³

Step-by-step explanation:

Volume of traingular prism = Base Area * height of prism

Base Area = ½*base(b)*height(h)

Where, b = base of traingular base = 5.4 cm

h = height of triangular base = 3.2 cm

Base Area = ½*5.4*3.2 = 8.64 cm²

Height of prism is given as 6 cm

Therefore, volume of triangular prism =

8.64*6 = 51.84 cm³

Volume is C. 51.84 cm³

HELP 25 POINTS!!! MARK THE BRAINIEST!

Answers

Answer:

first option

Step-by-step explanation:

To find the product, that is

(4x + 1)(x² - 5)

Each term in the second factor is multiplied by each term in the first factor, that is

4x(x² - 5) + 1(x² - 5) ← distribute both parenthesis

= 4x³ - 20x + x² - 5

= 4x³ + x² - 20x - 5

someone help me
i will give u 5 star..​

Answers

Answer:

Step-by-step explanation:

If LaTeX: m\angle ABF=8s-6m ∠ A B F = 8 s − 6 and LaTeX: m\angle ABE=2\left(s+11\right)m ∠ A B E = 2 ( s + 11 ), find LaTeX: m\angle EBFm ∠ E B F. LaTeX: m\angle EBF=m ∠ E B F = [measure]LaTeX: ^\circ

Answers

Answer:

2(3s-14)

Step-by-step explanation:

Given the angles ∠ABF=8s-6, ∠ABE = 2(s + 11), we are to find the angle ∠EBF. The following expression is true for the three angles;

∠ABF = ∠ABE + ∠EBF

Substituting the given angles into the equation to get the unknown;

8s-6 = 2(s + 11)+ ∠EBF

open the parenthesis

8s-6 = 2s + 22+ ∠EBF

∠EBF = 8s-6-2s-22

collect the like terms

∠EBF = 8s-2s-22-6

∠EBF = 6s-28

factor out the common multiple

∠EBF = 2(3s-14)

Hence the measure of angle ∠EBF is 2(3s-14)

please help me solve this question

Answers

Step-by-step explanation:

5/(x + 2) + 3/(x - 4) = 2

5(x - 4) + 3(x + 2) = 2(x + 2)(x - 4)

5x - 20 + 3x + 6 = 2x^2 - 4x - 16

8x - 14 = 2x^2 - 4x - 16

4x - 7 = x^2 - 2x - 8

x^2 - 6x - 1 = 0

By using the quadratic formula, x = (-6 +/-√40)/2.

One root of f(x)=x^3-4x^2-20x+48 is x = 6. What are all the factors of the function? Use the Remainder Theorem.

A. (x + 6)(x + 8)
B. (x – 6)(x – 8)
C. (x – 2)(x + 4)(x – 6)
D. (x + 2)(x – 4)(x + 6)

Answers

Answer:

(x - 6)(x + 4)(x - 2)

Step-by-step explanation:

since x = 6 is a root then (x - 6) is a factor

x³ - 4x² - 20x + 48 ÷ (x - 6)

= (x - 6)(x² + 2x - 8)

= (x - 6)(x + 4)(x - 2) ← factors of f(x)

By using the Remainder Theorem, all the factors of the function are,

⇒ (x - 6) (x + 2) (x - 4)

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

One root of function f (x) = x³ -4x² -20x + 48 is,  x = 6.

Hence, (x - 6) is divide the function  f (x) = x³ -4x² -20x + 48 as;

(x - 6) ) x³ -4x² -20x + 48 ( x² + 2x - 8

           x³ - 6x²

         --------------

                 2x² - 20x

                 2x² - 12x

                 -----------------

                         - 8x + 48

                         - 8x + 48

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

                                      0

Hence, We get;

f (x) = x³ -4x² -20x + 48

f (x) = (x - 6) (x² + 2x - 8)

⇒ f (x) = (x - 6) (x² - 4x + 2x - 8)

⇒ f (x) = (x - 6) (x(x - 4) + 2(x - 4))

⇒ f (x) = (x - 6) (x + 2) (x - 4)

Thus., By using the Remainder Theorem, all the factors of the function are,

⇒ (x - 6) (x + 2) (x - 4)

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

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