For the area of the rectangle is 10 square inches. Determine both dimensions of the length is 8 inches les than than twice the width. A. Write an equation (in "x") to solve the problem. B. Find the solution(s).

Answers

Answer 1

Answer:

x² - 4x - 5 = 0

Width of rectangle = 5 inch

Length of rectangle = 2 inch

Step-by-step explanation:

Given:

Area of rectangle = 10 inch²

Length of rectangle = 2[Width of rectangle] - 8

Find:

Equation

Value of length and width

Computation;

Assume;

Width of rectangle = x

So,

Length of rectangle = 2[Width of rectangle] - 8

Length of rectangle = 2x - 8

Area of rectangle = Length × Width

10 = x(2x - 8)

2x² - 8x - 10 = 0

Divide by 2 from both side

x² - 4x - 5 = 0

x² - (5-1)x - 5 = 0

x² - 5x + x- 5 = 0

x(x - 5) + 1(x - 5)

x = 5 and x = -1

So,

Width of rectangle = 5 inch

Length of rectangle = 2x - 8

Length of rectangle = 2(5) - 8

Length of rectangle = 2 inch


Related Questions

select the graph for the solution of the open sentence click until correct graph appears [×]>1​

Answers

Is there supposed to be a picture or a multi choice answer because there is none.Sorry


Maureen went on a 3 day, 50 mile biking trip. The first day she biked 6 miles. The second day she
biked 19 miles. How many miles did she bike on the 3rd day?

Answers

Step-by-step explanation:

Given

d1 = 6 miles

d2 = 19 miles

d3 = ?

d1+d2+d3 = 50

6+19+d3 = 50

25+d3 = 50

d3 = 50 - 25

= 25miles

-4.5,7.25,-10,12.75 18th term arithmetic sequence

Answers

Answer:

The first term of an arithmetic sequence is equal to $\frac{5}{2}$ and the common difference is equal to 2. Find the value of the 20 th term. example 2: An arithmetic sequence has a common difference equal to $7$ and its 8 th term is equal to $43$.

Step-by-step explanation:

a rectangular playing field is 80 yd long and has an area of 4240 yd squared. find the width of the field?​

Answers

Answer:53

Step-by-step explanation:

4240/80 = 53

53*80 = 4240

Answer:

53 yd

Step-by-step explanation:

Because you find the area of a field by multiplying the length by the width, this can be written as 4240=80x, where x equals the width of the field. Now all you have to do is divide 4240 by 80 to get what x, or the width, is.

HELP PLEASE THIS IS DUE IN 15 MIN!!!!!!!!!!!
look at the picture

Answers

Answer:

a

Step-by-step explanation:

this is from my knowledge not from research :))) tell if its correct i can look this up too!:p

Answer:

a. Given, Give, Given, AAS

Step-by-step explanation:

AAS makes the most sense because you are only given information about 2 angles and a side, in that order

also the other answers don't work because vertical, alternate interior, and alternate exterior angles are only used as reasons when the angles are on parallel lines cut by a transversal, which is not the case here.

C OF
The following table shows a portion of a three-year amortization schedule.
3 Year Amortization Schedule
Loan Amount or Principal S 11.940.00
Interest Rate on Loan
7.45%
Extra Payment to Principal $
Month Payment Principal Interest Balance
171 $ 371.13 S 327.92 S 43.21 S 6,632.16
18 5 371.13 S 329.96 41.17 S 6.302.20
19 $ 371.13 S 332 01 | $ 39 13 S 5.970.19
20 S
371.13 S 334.07 S 37.06S 5.636.12
21 S 371.13 S 336.14 S 34.99S 5.299.98
22 s 371.13 S 338.23S 32.90S 4.961.75
23 S
371.13 S 340.33S 30.80S 4.621.42
24 S
371.13 S 342.44S 28.69S 4.278.98
25 S 371.13 S 344.575 26.57 S 3.934 41
After two years, how much has been paid into interest?
a $4,628.14
b $1,246.10
C С
$978.96
d. $1,912.05
Hi

Answers

Answer:

b cz vc

Step-by-step explanation:

bv

The total amount of interest paid after two years is $1,246.15.

What is an amortization schedule?

An amortization schedule is a table that shows the periodic payments, portions of interest and principal paid, and the loan balance.  It is useful for financial managers to understand how much is remaining unpaid and the amount to record as the interest expense periodically.

Data and Calculations:

Loan Amount or Principal = $11,940.00

Interest Rate on Loan = 7.45%

Extra Payment to Principal $0

Month     Payment   Principal       Interest         Balance

17             $371.13      $327.92       $43.21        $6,632.16

18            $371.13     $329.96         $41.17       $6,302.20

19            $371.13      $332.01        $39.13        $5,970.19

20           $371.13     $334.07       $37.06        $5,636.12

21            $371.13      $336.14       $34.99      $5,299.98

22           $371.13     $338.23       $32.90       $4,961.75

23           $371.13     $340.33       $30.80       $4,621.42

24           $371.13     $342.44       $28.69      $4,278.98

25           $371.13    $344.57        $26.57      $3,934 41

Full Amortization Schedule

Period PV PMT Interest FV

1 $-11,939.87 $371.13 $-74.13 $11,642.86

2 $-11,642.86 $371.13 $-72.28 $11,344.02

3 $-11,344.02 $371.13 $-70.43 $11,043.31

4 $-11,043.31 $371.13 $-68.56 $10,740.74

5 $-10,740.74 $371.13 $-66.68 $10,436.30

6 $-10,436.30 $371.13 $-64.79 $10,129.96

7 $-10,129.96 $371.13 $-62.89 $9,821.72

8 $-9,821.72 $371.13 $-60.98 $9,511.57

9 $-9,511.57 $371.13 $-59.05 $9,199.49

10 $-9,199.49 $371.13 $-57.11 $8,885.47

11 $-8,885.47 $371.13 $-55.16 $8,569.50

12 $-8,569.50 $371.13 $-53.20 $8,251.58

Year #1 end

Total interest for the first year = $765.26

13 $-8,251.58 $371.13 $-51.23 $7,931.67

14 $-7,931.67 $371.13 $-49.24 $7,609.79

15 $-7,609.79 $371.13 $-47.24 $7,285.90

16 $-7,285.90 $371.13 $-45.23 $6,960.00

17 $-6,960.00 $371.13 $-43.21 $6,632.08

18 $-6,632.08 $371.13 $-41.17 $6,302.13

19 $-6,302.13 $371.13 $-39.13 $5,970.12

20 $-5,970.12 $371.13 $-37.06 $5,636.06

21 $-5,636.06 $371.13 $-34.99 $5,299.92

22 $-5,299.92 $371.13 $-32.90 $4,961.69

23 $-4,961.69 $371.13 $-30.80 $4,621.37

24 $-4,621.37 $371.13 $-28.69 $4,278.93

Year #2 end

Total interest for the second year = $480.89

Total interest after two years = $1,246.15 ($765.26 + $480.89)

Thus, the total amount of interest paid after two years is $1,246.15.

Learn more about calculating loan amortization balances at brainly.com/question/14511778

California (population about 40 million) has about twice as many people as New York State (population about 20 million). Without calculation, pick the correct option and explain your choice. If the underlying population SDs are equal, a simple random sample of 1000 people in California is

Answers

Question Completion:

California (population about 40 million) has about twice as many people as New York State (population about 20 million). Without calculation, pick the correct option and explain your choice.

If the underlying population SDs are equal, a simple random sample of 1000 people in California is

(i) about half as accurate

(ii) about 1/V2 times as accurate

(iii) about as accurate

(iv) about V2 times as accurate

(v) about twice as accurate

as a simple random sample of 1000 people in New York State.

Answer:

If the underlying population SDs are equal, a simple random sample of 1000 people in California is

(i) about half as accurate

as a simple random sample of 1000 people in New York State.

Step-by-step explanation:

Since the population of California is about 40 million, which is twice as many people as in New York State (approximately 20 million), in taking a sample size, that of California supposed to be as twice as New York's.

Therefore, if the random sample of 1,000 people is taken from California, just as a random sample of 1,000 people is also taken from New York State, we can conclude that the accuracy of population standard deviation of California will be about half as accurate as the standard deviation of New York's population.

This is because accuracy is enhanced by a larger sample size.  This means that if the sample size of California is 2,000, the SD would have been equally as accurate as New York's.

5 características importantes Sobre la reproducción que se realiza a través de las flores​

Answers

Answer:

No one here speaks spanish-

Step-by-step explanation:

No Espanol English plz?

The graphs of triangles LMN and NOP are shown.

which of the following best describes the slope of line LP?

A) 5/2
B) 2
C) 2/5
D) 1/3

Answers

Answer:  Choice C) 2/5

===========================================================

Explanation:

Point L is located at (-8, 1) while P is at the point (7,7)

Let's apply the slope formula for these two points

m = (y2-y1)/(x2-x1)

m = (7-1)/(7-(-8))

m = (7-1)/(7+8)

m = 6/15

m = (3*2)/(3*5)

m = 2/5 is the slope of line LP

A slope of 2/5 means that each time you go up vertically 2 units (rise), you move to the right 5 units (run). In short, it's "up 2, over to the right 5". A positive slope means we move upward as we move from left to right.

A parking lot has 30 cars and 12 trucks. Find the ratio of cars to trucks.

Answers

Answer:

::::::::::::::::::

5:2

please help i will give brainlist don't answer if you don't know it

Answers

Answer:

1:

Step-by-step explanation:

the vaal dam can store 2536 million m3 of water when full. However it was 65 4% full on the 30 January 2020 how many litres of water was in the dam​

Answers

Answer:

Current water in dam = 1,676.202 million m³ (Approx.)

Step-by-step explanation:

Given:

Storage capacity of dam = 2,536 million m³

Current water level = 65.4%

Find:

Current water in dam

Computation:

Current water in dam = Storage capacity of dam x Current water level

Current water in dam = 2,563 x 65.4%

Current water in dam = 1,676.202 million m³ (Approx.)

A company has to buy computers and printers. Each computer, x, costs $550 and each printer, y, costs $350. If the company spends $8,800 and buys a total of 20 machines, how many of each did it buy?

Enter a system of equations to represent the situation, then solve the system.

Answers

Answer:

The company bought 9 computers and 11 printers.

Step-by-step explanation:

Given that a company has to buy computers and printers, and each computer, x, costs $ 550 and each printer, y, costs $ 350, if the company spends $ 8,800 and buys a total of 20 machines, to determine how many of each did it buy the following calculation must be performed:

20 x 550 + 0 x 350 = 11,000

15 x 550 + 5 x 350 = 10,000

10 x 550 + 10 x 350 = 9,000

9 x 559 + 11 x 350 = 8,800

Thus, the company bought 9 computers and 11 printers.

HELP PLEASE I WILL GIVE BRAINLIEST
NO SENDING ME FILES


Write an equation in vertex form (based on the transformation)

Reflected over the x-axis, then translated 5 units left and 2 units down

Answers

Answer:

Section 4-1 Day 5 Translating Parabolas Key.pdf

Step-by-step explanation:

I need help on this!

Answers

Answer:

29.71 is your answer! please mark brainlist if this helps i worked hard trying to explain this the best i could

HAVE A WONDERFUL DAY!!! please take care of yourself you deserve it :D

Step-by-step explanation:

HOPEFULLY THIS HELPS HERE: please read this so you can understand the problem too!!

so basically, first you are gonna find the triangle's perimeter. (reminder perimeter is add all sides) so 6+8= 14. then you are going to find the circumfrence of that circle using the formula 2πr and then divide by two since its HALF a circle. the radius is 5 (radius is half the diameter which would be 10) then put in your calculator 2π(5) and you should get 31.42. dont forget to divide by two since its half a circle. 31.42/2 =15.71. then add up your other lengths to that 14+15.71= 29.71(YOUR ANSWER :D)

Help with this problem please

Answers

Answer:

A. 50°

Step-by-step explanation:

I am currently working on the explanation.

Pls help me answer this question

Answers

Answer:

Probability

Step-by-step explanation:

Triangle- 1/8

Circle- 1/2

Square- 3/8

Dont put the file stuff like stop! Help me

Mrs. Davis has 5/4 lb of dry dog food. She will put an equal
amount of food into 3 containers. How much dog foor will
be in each container?

Answers

5/12lb of dog food in each container.

This seems like a division problem so you would take (5/4) and divide it by 3 to make 3 equal groups meaning 5/12lb would be in each container.

I hope this helps, good luck!

If 87 1 half% of the class received a passing mark in a science test, what percent of the class failed the test?

Answers

Answer:

12 1 half% (or 12.5%) failed the test

Step-by-step explanation:

Subtract the 87 1 half% (or 87.5%) by 100 to get 12.5%

On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 3, 3), (1, 4), (1, negative 4), (2, negative 4), (2, negative 2).
How many points need to be removed from this graph so that it will be a function?

1 point
2 points
3 points
4 points

Answers

Answer:

3 points

Step-by-step explanation:

A function is a relation that maps elements of a set for the inputs (the domain, usually denoted with the variable x) into elements of another set, the set of the outputs (the range, usually denoted with the variable y).

So the relation can be represented with points (x, y), which means that point x is being mapped into point y.

Such that the needed condition is that each element of the domain is mapped into only one element in the domain.

So for example, if for a relationship we have the points (a, b) and (a, c)

The point a is being mapped into two different outputs.

Now let's go to our problem, we have the points:

(-3, 2), (-3, 3), (1, 4), (1, -4), (2, -4), (2, -2)

If we have repeated inputs, we need to remove points until we have one of each.

We can see that the inputs -3, 1, and 2 are repeated one time.

Then we need to remove one of each, for example if we remove the second, fourth and sixth points, the set becomes:

(-3, 2), (1, 4), and (2, -4)

This is a function.

Then we need to remove 3 points.

Answer:

C) 3 POINTS

Step-by-step explanation:

ON EDGE 2021

Solve each equation 11 - 6x = 7 - 8x

Answers

11-6x=7-8x
4=14x
x=3.5

Branliest to correct answer no guessing please

Answers

Answer:

the vertical bar "|"

Step-by-step explanation:

Sorry if it's wrong.

it’s the 2nd one i think

Help please i need it asap

Answers

Answer:

∠ZVW= 45

∠ZWV = 31

x=1

Step-by-step explanation:

Properties of a Parallelogram ( including diagonals )

Diagonals of a parallelogram bisect each other.

The diagonals are cut into two equal parts

Opposite angles are congruent

Given this information we need to find x, ∠ZVW and ∠ ZWV

First lets find x

Like stated previously diagonals cut each other into two equal parts

That being said segment WZ ≅ segment ZY

Knowing this we create an equation

2z-1=1

step 1 add 1 to each side

-1 + 1 cancels out

1 + 1 = 2

now we have 2x = 2

step 2 divide each side by 2

2x/2=x

2/2=1

we're left with x = 1

Now lets find ∠ZVW

∠ZVW and ∠ZXY happen to be opposite angles ( opposite angles are congruent )

This means that because ∠ZXY = 45 ∠ZVW also = 45

Now lets find ∠ZWV

∠ZWV and ∠XYZ happen to be opposite angles ( like stated previously, opposite angles are congruent)

So because ∠XYZ = 31 ∠ZWV also = 31

I NEED URGENT HELP!! THANK U!

Answers

Answer:

1.) [tex]\frac{1}{2}[/tex]

2.)[tex]\frac{3}{4}[/tex]

3.)[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

I did this, in like, 2 weeks ago.

Check attachment for answer.

On Saturday, Malia's volleyball team will be having a family picnic. Hotdogs are sold in packages of 10 and hotdog buns are sold in packages of 8. What is the least number of hotdogs and buns that Malia's team should buy to have exactly the same number of each?

A. 10 hotdogs and 10 buns

B. 16 hotdogs and 16 buns

C. 40 hotdogs and 40 buns

D. 4 hotdogs and 4 buns

Answers

The answer is D. 4 hotdogs and 4 buns

Answer:

D or the last option

Step-by-step explanation:

For A: If we multiply 10 by 10 it gives us 100 and 8 by 10 is 80 and this off by 20 and we need to find number that are the closest.

For B: 16 by 10 is 160 and 16 by 8 is 128 and this has a big difference of 32. This also a big number and I don't know why a team would need 128 hotdogs.

For C: 40 by 10 is 400 and 8 by 40 is 320 and this wayyy of by 80. And i doubt a team needs 320 hotdogs.

For D: 4 by 10 is 40 and 8 by 4 is 32 this is only off by 8 and compared to the other options is the most closest and 32 hotdogs for a team should be reasonable.

:DDD Hope I was able to help!

Find the total value of digit 3 in 3654

Answers

Answer:

3000

Step-by-step explanation:

Thousands Hundreds Tens Ones

   3                     6                    5            4

Here are the values of each number:

Number x Multiplier = Value

3      x  1,000        3,000

6     x   100           600

5     x       10                50

4      x       1                 4

Add up all of the values and you get 3,654.

Answer:

3000

Step-by-step explanation:

Thousands: 3

Hundreds: 6

Tens: 5

Ones: 4

Mrs. Rayo cut one piece of pie as shown in the drawing.
From the first cut to the second cut, she rotated the knife
60 one-degreee turns.
second cut
o
first cut
What is the measure of the angle formed by the piece of
pie?
40°
60°
100°
O 180°

Answers

Answer:

60°

Step-by-step explanation:

She rotated the knife 60° so the second cut will make an angle of 60° to the first cut.

The sum of three whole numbers is 27. The mean of the three whole numbers is 9, and the greatest number is twice the least number.
What is the greatest number?

Answers

9514 1404 393

Answer:

  12

Step-by-step explanation:

Let x be the smallest number, and y be the middle number. Then the largest number is 2x and the sum is ...

  x + y + 2x = 27   ⇒   y = 27 -3x

The requirement that the middle number is y gives rise to the inequality ...

  x < y < 2x

Substituting for y, we have ...

  x < 27 -3x < 2x

Adding 3x gives us ...

  4x < 27 < 5x

These two inequalities give us the requirement that ...

  27/5 < x < 27/4

  5.4 < x < 6.75

The only whole number in that range is x = 6. So, the greatest number is 2×6 = 12.

The greatest number is 12.

If the graph of the function f (X) is represented in the attached figure, which of the graphs presented in the options represents the graph of its inverse function?

Answers

Answer:

A. g(x) = 1/3x + 1

Step-by-step explanation:

The line has points:

(0, -3) and (1, 0)

It has y-intercept b = -3 and a slope:

m = (0 + 3)/1 = 3

The equation:

f(x) = 3x - 3

It inverse is (let's call it g(x)):

x = 3y - 33y = x + 3y = 1/3x + 1g(x) = 1/3x + 1

The slope of the inverse function is 1/3 and the y-intercept is 1

The graph reflecting this is A

What is the pressure of 0.5 moles of oxygen gas in a 1.50L container at -37°C?

Answers

Answer:

volved with elements and compounds composed of atoms, molecules and ions: their composition, structure, properties, behavior and the changes they undergo during a reaction with other substances.

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