4. The length of a rectangle is one more than twice the width. The area is 105 in?.
Find the WIDTH of the rectangle. *

Answers

Answer 1

9514 1404 393

Answer:

  7 in

Step-by-step explanation:

For width w in inches, the length is given as 2w+1. The area is the product of length and width, so we have ...

  A = LW

  105 = (2w +1)w

  2w^2 +w -105 = 0

To factor this, we're looking for factors of -210 that have a difference of 1.

  -210 = -1(210) = -2(105) = -3(70) = -5(42) = -6(35) = -7(30) = -10(21) = -14(15)

So, the factorization is ...

  (2w +15)(w -7) = 0

Solutions are values of w that make the factors zero:

  w = -15/2, +7 . . . . . negative dimensions are irrelevant

The width of the rectangle is 7 inches.


Related Questions

Write the ratio in simplest form.



The ratio of green beads to blue beads is ???

Answers

3:6 but if u simplify it it will become

1:2

Prove algebraically that the recurring decimal 0.472 can be written as
17
36

Answers

Given:

The recurring decimal is [tex]0.47\overline{2}[/tex].

To prove:

Algebraically that the recurring decimal [tex]0.47\overline{2}[/tex] can be written as [tex]\dfrac{17}{36}[/tex].

Proof:

Let,

[tex]x=0.47\overline{2}[/tex]

[tex]x=0.472222...[/tex]

Multiply both sides by 100.

[tex]100x=47.2222...[/tex]     ...(i)

Multiply both sides by 10.

[tex]1000x=472.2222...[/tex]        ...(ii)

Subtract (i) from (ii).

[tex]1000x-100x=472.2222...-47.2222...[/tex]

[tex]900x=425[/tex]

Divide both sides by 900.

[tex]x=\dfrac{425}{900}[/tex]

[tex]x=\dfrac{17}{36}[/tex]

So, [tex]0.47\overline{2}=\dfrac{17}{36}[/tex].

Hence proved.

1)Ellen wanted to buy the following items:
∙ A DVD player for $49.95 ∙ A DVD holder for $19.95 ∙ Personal stereo for $21.95
Does Ellen have enough money to buy all three items if he has $90.s

Answers

Answer:

[tex]\huge\boxed{\tt{ No.}}[/tex]

Step-by-step explanation:

DVD player = $ 49.95

DVD Holder = $ 19.95

Personal Stereo = $ 21.95

Sum of Prices = $ 49.95 + $ 19.95 + $ 21.95 = $ 91.85

Ellan has $ 90 which is less than $ 91.85 which means that Ellan does not have enough to buy all three items.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

h(x) = –2 – 5 help pls!!!

Answers

Answer:

h(0)= -5

h(-2)= -7

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

x just represents a value, so simply plug 0 into the equation instead of x.

h(0)= -0 - 5

h(0) = -5

Determine the number of zeros of the polynomial function f(x)= x^8-x^9

Answers

Step-by-step explanation:

Determine if odd, even, or neither.

The function is neither even nor odd

Answer:

9

Step-by-step explanation:

The highest power of x is 9:  x^9

and therefore this polynomial will have 9 zeros.

list all 10 possible SRSs of size n = 2, calculate the proportion of females for each sample​

Answers

Answer:

10

Step-by-step explanation:

since i helped can i have brainlst please that would be greatly apericated

we have a total of 10 choices,

while we need SRS of size 2 only,

We know that,

A combination helps us to determine the number of possible arrangements that can be made through a set of data provided where the order of the selection does not matter.

where,

n is the number of choices,

r is the number of selection.

All 10 possible SRSs of size n = 2, are:

1.  Abigail & Bobby

2. Abigail & Carlos

3.  Abigail & DeAnna

4.  Abigail & Emily

5.  Bobby & Carlos

6.  Bobby & DeAnna

7.  Bobby & Emily

8.  Carlos & DeAnna

9.  Carlos & Emily

10.  DeAnna & Emily

To know more visit:

https://brainly.com/question/25351212

use the gcf and the distributive property to find the sum of 26 + 39

Answers

Answer:= 13

Step-by-step explanation:

Which numbers below represents a repeating decimal? Check all the boxes that apply.*
-2/3
-3/5
3/10
11/20

Answers

Answer:

-2/3

Step-by-step explanation:

-2/3= -.066666667

-3/5= -0.6

3/10= 0.3

11/20= 0.55

Which of the following rational functions is graphed below?

Answers

Answer:

there is no attached file

Step-by-step explanation:

i just what some special person who gets this to have a good day stay safe god bless

Answers

Answer:

Same back to you

Step-by-step explanation:

I hope you smile today and don't let corona stop you from anything

Answer: thank you

Step-by-step explanation:

Solve for p. 3(p+4) = 36

Answers

Answer:

3p + 12 = 36

3p = 36 - 12

3p = 24

p=8

Answer:

 p = 8

Step-by-step explanation:

3( p + 4) = 36

3p + 12 = 36

     - 12    - 12

3p = 24

_______

     3

 p = 8

Hope this helps!

HELP PLEASEEE!!!!!!!

Answers

Answer:

1/3^3 *1/3^2

1/27 *1/9

1/243

Answer: 1/243

Step-by-step explanation:

first, i calculate it.

3^-5

then, i expressed it with a positive exponent.

1/3^5

finally, i simplified it.

1/243

What is the answer?? Please

Answers

9514 1404 393

Answer:

  not similar

Step-by-step explanation:

"Triangle" DPS cannot exist. Sides DP and DS are not long enough.

__

Side ratios are not the same. In the top triangle, the length ratios are ...

  14 : 16 : 19

In the bottom triangle, the length ratios are ...

  7 : 8 : 19   (such a triangle cannot exist)

Since the ratios are not the same, the triangles are not similar.

What is the length of an arc that subtends an angle of 60° at the centre of radius ½m?

a) 0.5238 b) 0.53
c) 0.357 d) 0.25

Pls help!!!!!​

Answers

C = pi x d = 1 x pi = pi

360/60 = 6

So length of arc = 1/6 of pi = 0.52m (2 do)


CL 3-115. Jermaine has a triangle with sides 8, 14, and 20. Sadio and Aisha both think that they have triangles that are similar to Jermaine's triangle. The sides of Sadie's
triangle are 2, 3.5, and 5. The sides of Aisha's triangle are 4, 10, and 16. Decide who, if anyone, has a triangle similar to Jermaine's triangle. Be sure to explain how
you know
pening
1
CL 3-116. For the points R(-2, 7) and P(2,1) determine each of the following:

Answers

9514 1404 393

Answer:

  Jermaine and Sadie have similar triangles. Aisha's is not similar.

Step-by-step explanation:

The side lengths can be arranged smallest-to-largest and reduced to mutually-prime integers. If the triangles are similar, their side ratios will be the same.

  Jermaine's triangle has side ratios ...

     8 : 14 : 20 = 4 : 7 : 10

  Sadie's triangle has side ratios ...

     2 : 3.5 : 5 = 4 : 7 : 10 . . . . (same as Jermaine's)

  Aisha's triangle has side ratios ...

     4 : 10 : 16 = 2 : 5 : 8 . . . . . (different from Jermaine's)

Sadie and Jermaine have similar triangles.

Complete the statement. Round to the nearest hundredth if necessary.

4 ft = ?m

Answers

Answer:

1.2192

Step-by-step explanation:

There are 1.22 meters in 4 feet.

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

We have,

1 meter = 3.28 feet

1 ft = 0.3048 m

Multiply 4 on both sides.

4 ft = 4 x 0.3048 m

4 ft = 1.2192 m

Rounding to the nearest hundredth.

4 ft = 1.22 m

Thus,

4 feet is equal to 1.22 meters.

Learn more about unit conversion here:

https://brainly.com/question/13899873

#SPJ2

In Toronto, Canada, one liter of gasoline costs. $0.74$. There are 3.8 liters in one gallon. How much does one gallon of gas cost in Toronto? Round your answer to he nearest hundredths.

Answers

Answer:

$2.81

Step-by-step explanation:

From the above question:

1 liter of gasoline = $0.74

There are 3.8 liters in one gallon.

Hence:

1 liter of gasoline = $0.74

3.8 liters of gasoline = x

Cross Multiply

x = 3.8 × $0.74

x = $2.812

Approximately to the nearest hundredth = $2.81

Therefore , the cost of one gallon of gas(3.8 liters) in Toronto is $2.81

xxsaaaaaaaaaaaaaaaaaaaaaaa

Answers

yes aaaaaaaaaaaaaaaxxs

Need help asap Pleaseee

Answers

Answer:

the answer is 144 feet and I don't really have an explanation

Answer:

Radius = 12 feet

Step-by-step explanation:

The area of a circle formula is Area = pi r^2 ("r" represents the radius)

The area of Circle Q is 144pi

You can substitute "Area" with 144pi, which would look like this:

144pi = pi x r^2

Now divide both sides with "pi", which gives:

144 = r^2

Finally, square root both sides:

sqrt(144) = sqrt(r^2)                     (sqrt = square root)

And that gives

12 = r

So the radius is 12 feet.

an art student wants to take a triangle with side lengths of 9,9, and 15 and enlarge it so that the longest side of a new triangle is 22.5. what will the length of the other two sides of the new triangle be

Answers

Answer:

13.5

Step-by-step explanation:

The longest side of the smaller triangle is 15 while that of the bigger one is 22.5

The enlargement ratio is 22.5/15 = 1.5

so the lengths of the smaller sides will be;

(1.5*9) = 13.5

Find the area of the rectangle with: l=3m50cm b=2m20cm​

Answers

You have to convert cm to m or m to cm (all if them need to have the same unit)
50cm= 0.5m
20cm= 0.2m

l=3+0.5= 3.5m
b=2+0.2= 2.2m

A=(3.5)(2.2)= 7.7m^2

Matt has answered the questions on a test. What percentage of the test questions have 20/25 Matt answered?

Answers

Answer:

80% complete with the test

Step-by-step explanation:

what you would do is if he does 20 out of 25 questions you would think that 25 is 100 and you would see that 20 is 80% because of you doing 5,10,5,20,25 the 20 is the 4th one and 80 is the forth of 100 so the answer is 80%.

Hope this helps :)

Round off 3.447 g to the nearest 1/100 g
pls help

Answers

Answer: 3.55 g

Step-by-step explanation: 3.447 g rounded to the nearest 1/100 g is 3.55 g.

Hint: nearest 1/100 g also means nearest hundredth!

–15 = a/5
A. a = –3
B. a = –20
C. a = –10
D. a = –75

Answers

Answer: a = -75

Step-by-step explanation:

i just multiplied both sides by 5, in order to get "a" by itself.

-75 = a

then, just for kicks, we switch it around so that the variable is in front.

a = -75

Factor the binomial completely. x2−81

Answers

Answer:

(x - 9)(x + 9)

Step-by-step explanation:

x² - 81 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b), then

x² - 81

= x² - 9²

= (x - 9)(x + 9)

Solve for x in the two equations below using substitution
12x-6y=60
24x+6y=300

Answers

Answer:

x = 10

Step-by-step explanation:

Given the 2 equations

12x - 6y = 60

24x + 6y = 300

Adding the 2 equations term by term will eliminate the y- term, that is

36x + 0 = 360

36x = 360 ( divide both sides by 36 )

x = 10

A soccer field is 120 yards long. Han measures the length of the field using a 30-foot-long tape measure and gets a measurement of 358 feet, 10 inches. What is the amount of the error?

Answers

Answer:

Error = 1.167 feet

Percentage error = 0.3242%

Step-by-step explanation:

The original length of the soccer field = 120 yards long

Converting to feet

1 yard = 3 feet

120 yards = x

Cross Multiply

x = 120 × 3 feet

x = 360 feet

Measured length:

Han measures the length of the field using a 30-foot-long tape measure and gets a measurement of 358 feet, 10 inches.

We convert 10 inches to feet

1 inch = 0.0833 feet

10 inches = x feet

Cross Multiply

x = 10 × 0.0833 feet

x = 0.833 feet

The measured length = 358 feet + 0.833 feet

= 358.833 feet

The Error is calculated as:

|Measured length - Original Length)

= 360 feet - 358.833 feet

= 1.167 feet

Percentage Error

= Error/Original Length × 100

= 1.167/360 × 100

= 0.3241666667%

Approximately = 0.3242%

Just need help 1-3 because it’s not easy

Answers

1 Yes
2 No
3 No
Hope this helps

A ​$310 suit is marked down by 20​%. Find the sale price.

Answers

Answer:

the answer is 62!

Step-by-step explanation:

multiply

Answer:

$248

Step-by-step explanation:

310/100=3.1

3.1x20=62

310-62=248$

Find the inverse of the function f(x) = 2x - 4.

Answers

Answer:

f⁻¹(x) = 1/2 x + 2

Step-by-step explanation:

f(x) = 2x - 4      y=2x - 4

swap x and y:  x = 2y - 4

solve y:   2y = x + 4

y = 1/2 x + 2

Inverse notation:   f⁻¹(x) = 1/2 x + 2

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But the lunch being served at my school was nothing like what they were advertising on their web site," Zachary, now 11, says in the documentarys trailer. "I told [my parents] thats not what they were actually serving me," he said. "But I dont think they believed me." For example, an "oven-baked pizza bagel with tricolor salad" was really nothing more than a slice of pizza and a wisp of lettuce. Sometimes there was no connection between the menu and what Zachary actually got. "Cheesy lasagna rolls with tomato basil sauce, roasted spinach with garlic and herbs" was, in reality, just a plastic-wrapped grilled cheese sandwich, all alone on a foam plate."When I came back home and showed them the footage, they were like, ugh!" Zachary said. His dad, an amateur filmmaker, started helping Zachary transform his video footage into a film. It won several awards, and Zachary also made appearances on television shows like Good Morning America.Not Perfect, But BetterLets face it: many times school lunches just arent going to taste as good as they sound. Students also complain that with lunches that follow the new school lunch guidelines, there just isnt enough food. Smaller portions, more fruits and veggies, and fewer calories leave some kids, especially teenagers, still hungry after eating their lunch. A group of students in Kansas even wrote a music video called "We Are Hungry," where they sing about their stomachs growling after lunch and how theyre collapsing on the sports field because they havent eaten enough.However, the new federal lunch guidelines do mandate meals that are better for students, with less sodium, more whole grains, fewer calories, and more fruits and vegetables, as well as skim or 1 percent milk. These are a definite improvement over school lunches of not that many years ago, which once stuck with fare like burgers, French fries, and chicken nuggets. Some schools even allowed fast food outlets like McDonalds and Pizza Hut to operate mini-restaurants in their cafeterias, or supply their products for students. Many schools have also reconsidered vending machines filled with sugary sodas, candy, and chips, replacing them with water and healthy snacks.The Lunch ForecastThe new school lunches are designed to help students eat better, and combat health problems like obesity in kids. Ideally, a healthy school lunch should also taste good ... or at least as good as the description on the menu. It should also keep students from taking a trip to the vending machine or a nearby convenience store as soon as lunch is over, because theyre still hungry. But will the lunches served in your cafeteria ever taste as good as a fast food burger or a gourmet meal cooked at home? You be the judge. Mention some leadership qualities of Adolf Hitler. The shape of this particular section of the rollercoaster is a half of a circle. Center the circle at the origin and assume the highest point on this leg of a roller coaster is 30 feet above the ground. 1. Write the equation that models the height of the roller coaster. a. Start by writing the equation of the circle. (Remember that the general form of a circle with the center at the origin is x^2 + y^2 = r^2 b. Now solve this equation for y. (Remember the roller coaster is above ground, so you are only interested in the positive root. 2. Graph the model of the roller coaster using the graphing calculator. Either sketch by hand or take a picture and paste the image below. Read the excerpt from Chapter 4 of Wheels of Change.Annie Londonderry wasn't the only one who pushed the limits of time and distance on her two-wheeler. In the late 1890s, several women took the concept of riding a century100 milesto the extreme by peeling off two, three, four, or more centuries in a row. Perhaps the greatest female century rider performed outside the spotlight. Dora Rineharts exploits hardly ever were reported beyond the western United States, where the Colorado native earned the title Americas Greatest Cyclienne. Rinehart took up the bicycle to regain her strength after suffering scarlet fever. She started with short rides, but quickly built up her endurance. In 1896 alone, she pedaled 17,196 miles, more than any other woman in the United States. That included stretches of 10 days in July and 20 days from October 31 through November 19 when she rode a century every day.Which statement from the excerpt is subjective?