The area of a rectangle is 77 yd square, and the length of the rectangle is 3 yd more than twice the width. Find the dimensions of the rectangle.

Length :

Width :

Answers

Answer 1

Answer:

Length = 14 yd

Width = 5.5 yd

Step-by-step explanation:

Let width = x and length = 2x + 3

The formula for area is length x width.

(2x + 3) ( x ) = 77

2x² + 3x - 77 = 0

-77 x 2 = -154

What two numbers multiply to -154 and add to 3?

2x² + 14x - 11x - 77 = 0

2x (x + 7) - 11 (x + 7) = 0

(2x - 11) (x + 7) = 0

x = -7 (this isn't possible so ignore it)

x = 5.5 (width)

Now insert 5.5 into the initial equation.

2 (5.5) + 3 =

11 + 3 = 14

Answer 2

Answer:

Length is 3

width is 25•66

Step-by-step explanation:

Hope it helps!

Thanks.

The Area Of A Rectangle Is 77 Yd Square, And The Length Of The Rectangle Is 3 Yd More Than Twice The

Related Questions


Which expressions are equivalent to the expression 7(5 + m) - 8?

Answers

Answer:

27 + 7m

Step-by-step explanation:

[tex]7(5 + m) - 8[/tex]

open the bracket:

[tex] = 35 + 7m - 8 \\ = 27 + 7m[/tex]

Find the smaller of 2 consecutive even integers if the sum of twice the smaller integer and the larger
integers is -16.

Answers

Answer:

n = -6

Step-by-step explanation:

2n + (n + 2) = -16

3n + 2 = -16

3n = -18

In math how can you tell if something is a function.

Answers

Answer:

if the line dosent have the same x's

Step-by-step explanation:

The velocity, V, of a specific object being dropped from a particular height, h, can be found by the radical function V = sqrt 2ha. Where A represents the acceleration in ft/sec2. If the acceleration due to gravity is 32.2 ft/sec2, at what height should you drop an object in order for it to have a velocity of 60 ft/sec?

0.9 feet
55.6 feet
55.9 feet
3,864 feet

Answers

Answer:

55.9 feet

Step-by-step explanation:

Basically you can just plug in what they give you

givens:

V=60 ft/sec

a= 32.2 ft/sec^2

function to find velocity: [tex]V=\sqrt{2ha[/tex]

if you plug everything in: [tex]60=\sqrt{2(h)(32.2)[/tex]

you can just put that equation into a website  and ask it to solve for h which would give you your answer

but, if you want the work,

FIRST square both sides of the equation to get rid of the square root symbol on the left so,

[tex]60^{2} =\sqrt{2(t)(32.2)} ^{2}[/tex]

which cancels out to

[tex]3600= 2(t)(32.2)[/tex]

NEXT:  divide both sides by 32.2 to get 2t by its self so,

[tex]\frac{3600}{32.2} =\frac{2(t)(32.2)}{32.2}[/tex]

which should get you to

[tex]111.80124223=2(t)[/tex]

LAST: divide both sides by 2 to get t by itself so

[tex]\frac{111.80124223}{2} =\frac{2(t)}{2}[/tex]

and you should end up with

55.900621 = t

which rounded would be an answer of

t= 55.9 feet

Answer:

YUP IT IS 55.9

Step-by-step explanation:

I don't got an explanation, but I can say that I got 100 on my quiz.

The textbook for a course in basic mathematics costs $35. There are 34 students in the class. Find the total cost of the textbooks for this class.

Answers

Answer:

1190 notebooks

Step-by-step explanation:

Cost per notebook * number of students

35 * 34 = 1190

35*30=1050

35*4 = 140

35*34 = 1050 + 140 = 1190

So the answer is 1190 notebooks.

your sister is selling girl scout cookies that cost $4.25 a box. your family bought 6 boxes. how many more boxes of cookies must your sister sell in order to $255​

Answers

$4.25 • 6= $25.5
$255-$25.5= $229.5
$229.5/$4.25= 54 boxes of cookies

Simplify show step by step 30 POINTS!

Answers

Step-by-step explanation:

hopefully it makes sense and is visible

:)

How do you solve by undoing for 4-2x-x=12 in Algebra 1​

Answers

Hi ;-)

[tex]4-2x-x=12\\\\-2x-x=12-4\\\\-3x=8 \ \ /:(-3)\\\\x=-\frac{8}{3}=-2\frac{1}{3}[/tex]

HELP ME PLEASEEEEEEEE

Answers

Answer:

c

Step-by-step explanation:

i search it up

Answer this question.

Answers

The answer is B
Math
Explain

Answer:

B. y = -2x + 5

Step-by-step explanation:

By looking at the table of values, as x increases by 1, y decreases by 2. This means the slope is -2. By process of elimination, this leaves with answer B.

KBL Ltd. entered into an agreement to lease a vehicle from Morgan Ltd.: Cash price of the vehicle Kshs 20.000 Lease payments: 5 instalments of Kshs 5.142 paid in arrears Required: How much of this finance charge will appear in each year's profit and loss expense in the lessee's books using the actuarial method? (10 Marks)​

Answers

Finance charge is the amount it costs of borrowing money

The finance charge that will appear in each year's profit and loss expense in the lessee's books are;

[tex]\begin{array}{|c|cc|}\mathbf{Year}&&\mathbf{Finance \ Charge \ (Kshs)}\\&&\\First&&1.8\\&&\\Second&&1.499\\&&\\Third&&1.171\\&&\\Fourth&&0.814\\&&\\Fifth&&0.424\end{array}\right][/tex]

The total financial charge = 5 × 5.142 - 20.000 = 5.71

The annual percentage rate, APR, of an instalment payment is given as follows;

[tex]\dfrac{(1 - (1 + r)^{-5}}{r} \times 5.142 = 20.000[/tex]

Solving using a graphing calculator gives;

r = APR ≈ 0.09 = 9%

The calculation for charges each year is as follows:

Payment interest for the first instalment = 20 × 9% = 1.8

The principal of the first payment = 5.142 - 1.8 = 3.342

The loan balance = 20 - 3.342 = 16.658

Payment interest for the second instalment = 16.658 × 9% = 1.49922

Second payment principal = 5.142 - 1.49922 = 3.64278

Loan balance = 16.658 - 3.64278 = 13.01522

Payment interest for the third instalment = 13.01522 × 9% = 1.1713698

Third payment principal = 5.142 - 1.1713698 = 3.9706302

Loan balance = 13.01522 - 3.9706302 = 9.0445898

Interest for the fourth payment = 9.0445898 × 9% = 0.814013082

Fourth payment principal = 5.142 - 0.814013082 ≈ 4.327986918

Loan balance = 9.0445898 - 4.327986918 = 4.716602882

Fifth payment interest = 4.716602882 × 9% = 0.42449425938

Fifth payment principal = 5.142 - 0.42449425938 ≈ 4.718

Therefore, we have;

[tex]\begin{array}{|c|cc|}\mathbf{Year}&&\mathbf{Finance \ Charge \ (Kshs)}\\&&\\First&&1.8\\&&\\Second&&1.499\\&&\\Third&&1.171\\&&\\Fourth&&0.814\\&&\\Fifth&&0.424\end{array}\right][/tex]

Learn more about the actuarial method here:

https://brainly.com/question/15504405

JT has two jobs. He mows yards and washes cars in his neighborhood. Let X represent the amount of weekly
earnings for mowing yards, and let y represent the amount of weekly earnings for washing cars. The mean of X is
$60, and the mean of Y is $35. Which answer choice correctly calculates and interprets the mean of the sum, S= X
+ Y?
Ps = 47.5; next week, JT will earn $47.5.
Hs = 47.5; JT can expect to earn $47.5, on average, in a typical week.
Hs = 95; next week, JT will earn $95.
Ps = 95: JT can expect to earn $95, on average, in a typical week.

Answers

The answer is 95, because x=60 and y=35 then S=60+35=95

Answer is D) 95; JT can expect blah blahh

The opposite of -17 I need the answer please and thanks

Answers

the answer is +17 or just 17 :)
The answer is 17

Hope my answer helped u :)

round decimal to the nearest whole number.
12.1

Answers

Answer:

12

Step-by-step explanation:

12.1 to the nearest whole number is 12.

Answer:

12

Step-by-step explanation:

12.1 there is no number behind the one, therefore it becomes 12

If a car is traveling at 45 km/h, what is its speed in meters per second?

Answers

Answer:

4.5 meters

Step-by-step explanation:

What is a 15 of the sequence –7,2, 11, ...?

Answers

We can see: Everytime, the new number is the sum of the number behind it with 9.

So the 15th will total add: 9 x 14 = 126

Start from number -7 so the 15th number is : 126 -7 = 119

SO: B.119 is the answer

NL: Sorry my english was bad

Answer:

119

Step-by-step explanation:

We need to find the 15th term in the sequence. The pattern is that each term increases by 9.

We can then count to the 15th term

-7 + 14*9 = 119

Therefore, the 15th term is equal to 119, or answer B.

what is the equation of the function y= 3/x translated 2 units to the left and seven units up

Answers

Answer:

y = (3/x + 2) + 7

Step-by-step explanation:

The additive inside the parenthesis moves the function to the left (adding moves left, subtracting moves right) and the additive outside moves the function up (adding moves up, subtracting moves down).

if 2x + 8 = 16, what is the vaule of x + 4?

Answers

Answer:

your answer

Step-by-step explanation:

mark me a brainlist

Hello!

Answer:

Value of x + 4 is 8.

Step-by-step explanation:

1. If 2x + 8 = 16, what is the value of x + 4?

2x + 8 = 16

2x = 16 - 8

2x = 8

x = 8 ÷ 2

x = 4

x + 4 => 4 + 4 = 8

Good luck!

Based on a sample of 400 people, 22% owned cats

The p value is

Answers

Answer:

88 people

Step-by-step explanation:

400*22/100

4*22

88 people

Based on a sample of 400 people, the 88 people owned cats.

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that  on a sample of 400 people, 22% owned cats

Let consider that the number of cats are p then we have;

22% of 400 = p

Thus, p = 400 x 22/100

p = 4 x 22

p = 88 people

The p value is 88

Learn more about multiplications;

https://brainly.com/question/14059007

#SPJ2

Analyze the diagram below and complete the instructions that follow.
Identify the cross section of the solid shown in the diagram.
A. tetrahedron
B. quadrilateral
C. rectangle
Dsquare

Answers

I am guessing! but I would answer B. quadrilateral, if I’m understanding it right. I am terrible at explaining things and I can’t mark up the diagram, but a tetrahedron is a three dimensional shape and there are too many missing variables missing for me to play with to say if it’s C. or D. for sure (not like I’m an expert, just a fellow student trying to help). I don’t know if you’re on a time crunch but I hope this helps and fingers crossed someone qualified will answer this.

The arithmetic sequence a; is defined by the formula: a1=4 +3(i-1)

Answers

Answer:

the arithmetic sequence ai is defined by the formula: a1= 2 ai= ai - 1 -3 find the sum of the first 335 terms in the sequence. 1.

Can you explain what a stem and leaf plot is?

Answers

Answer:

A stem and leaf plot, or stem plot, is a technique used to classify either discrete or continuous variables. A stem and leaf plot is used to organize data as they are collected. ... Each number in the data is broken down into a stem and a leaf, thus the name. The stem of the number includes all but the last digit

hope it helped!

smallest to largest. 14/5, 2.4, 2 1/3, 1.41​

Answers

Answer:

1.41, 2 1/3, 2.4, 14/5

Step-by-step explanation:

Change everything to decimal points first

PLZ HELP WILL MARK BRAINLIEST!

Answers

Step-by-step explanation:

directrix = (1, -1)

focus = (-3, 2)

vertex = (-3, 3)

Determine a series of transformation that would map figure h onto Figure I

Answers

Answer:

isnt it figure h???

Step-by-step explanation:

Answer:

A translation right 8 units followed by a reflection over the x-axis

Step-by-step explanation:

An elevator was on the 23rd floor. It
then went down 7 floors and then
another 4 floors. What floor was the
elevator on now?

Answers

Answer:

The 12th floor

Answer:

12th floor

Step-by-step explanation:

4+7 = 11

23-11 = 12

Which expression has a value that is 6 times the value of the expression 63 - 3y?
ОА. 6x 63 – Зу
O B. 63 – 3y = 6
Ос. 63 = (6 x Зу)
OD. 6 X (63 – 3y)

Answers

D. i just took the quiz

2x-3y=-1
y=x-1

solve. systems of equations

Answers

Answer:

x=4

y=3​

Step-by-step explanation:

Jungwon has $15. Notepads cost $2.50 each. How many notepads can Jungwon buy?​

Answers

15 divided by 2.50 is 6
So Jungwon has $15 and each notepad costs $2.50. We need to find out how many notepads Jungwon can buy with $15. Simply take $15 and divide that by $2.50, you get 6. Jungwon can buy 6 notepads with $15.

GENTE PORFAVOR ME AJUDA

Answers

You have asked for help without actually providing what you need help on.

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