QUESTION
arning Page
The length of a rectangle is 3 m less than twice the width, and the area of the rectangle is 65 m². Find the dimensions of the rectangle.

Answers

Answer 1

Answer:

width: 6.5 mlength: 10 m

Step-by-step explanation:

Let w represent the width of the rectangle in meters. Then (2w-3) is the length. The area is the product of length and width:

  A = LW

  65 = (2w-3)(w)

  2w² -3w -65 = 0

  (2w -13)(w +5) = 0 . . . . . . . factor

  w = 6.5 . . . . . . . . the positive solution

  2(6.5) -3 = 10 . . . the length of the rectangle

The width of the rectangle is 6.5 meters; the length is 10 meters.


Related Questions

(2a-1/3) / b/15 when a=-3/5 and b=-6.75

Answers

Answer:

4.148148149

Step-by-step explanation:

that's the answer

Step-by-step explanation:

2a-1/3 / b/15

[tex](2 \times \frac{ - 3}{5 } ) \div \frac{ - 6.75}{15} \\ = \frac{ - 6}{5} \times \frac{15}{ - 6.75} \\ = \frac{18}{6.75} [/tex]

Perpendicular Bisector Theorem

Answers

A perpendicular bisector of a line segment is a line which divides the line segment into two equal parts. So here, PS = PQ

=》 PS = 3a

=》 PQ = a + 16

PS = PQ

3a = a + 16

3a - a = 16

2a = 16

a = 16/2

a = 8.

_______

RainbowSalt2222 ☔

A machine packs 180 boxes of cereal in a half-hour. It takes 55 minutes to pack 330 boxes. True or False?

Answers

Answer:

True

Step-by-step explanation:

If you divide 180 by 30 you will get 6. then 6 times 5 is 30. If you add 30 to 330 you will get 360. If you take 180 boxes for 30minutes and double. You get 360 boxes in 60minutes. If 5 minutes is 30 boxes. Subtract 30 from 360 and you get 330 in 55 minutes.

Theresa Morgan, a chemist, has a 30% hydrochloric acid solution and a 55% hydrochloric acid solution. How many liters of each should she mix to get 437.5 liters of a hydrochloric acid solution with a 45% acid concentration?

Answers

Answer:

Step-by-step explanation:

30F + 55S = 45(437.5)

30F + 55S = 19687.5

30F = 19687.5 - 55S

F = (19687.5 - 55S) / 30

30((19687.5 - 55S) / 30) + 55S = 19687.5

S = 0 (30%)

F = (19687.5 - 55S) / 30 (55%)

Steve bicycles 3 mi to school everyday at 15 mph. If school starts at 8:30 am and he needs 15 min to lock his bike and get to his desk then what time should he leave his house

Answers

Answer:

8:03

Step-by-step explanation:

time=speedxdistance

t=1/15x3

t=3/15hr

t=.2hr

t=12 mins

plus 15 mins to lock up bike, 27 mins

27 mins before 8:30 is 8:03

pls mark branliest

Can someone please help me thank you

Answers

36 is the answer, hope this helps.

(-7)(1.2) multiplying rational numbers

Answers

Answer:

-119

Step-by-step explanation:

Answer:

-8.4

Step-by-step explanation:

-7 x 1.2

100.000.000x30

Kaçtır?

Answers

Answer:

the answer is 3000000000

If the function f (x) is defined by f(x) =x over 2 minus 6

Answers

Depending on how it is written, it could be either of these following solutions:

f(x) = x/2 - 6     or     f(x) = x/(2-6)

For the first, we solve for x by replacing f(x) with 0

x/2 - 6 = 0

x/2 = 6

x = 3

For the second, do the same

x/(2-6) = 0

x/-4 = 0

x = 0

Hello there can you please help y

Answers

Answer:

5x + 28 = 7x - 4

2x = -32

x = -16

Question 2 (Essay Worth 10 points)
(07.02 MC)
An equation is shown below:
3(2x - 7) = 3
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work. (6 points)
ses
GE
22 23
Source
VG
B I
US
IX
SE
E
Styles
Format

Answers

Answer:

Part A: 1 solution

Part B:

3(2x-7)=3

6x-21=3

  +21  +21

6x=24

/6    /6

x=4

X=24

Step-by-step explanation:

First you distribute 3(2x-7)=3 to 6x-21=3. Next you do inverse operations by adding 21 to both sides of the equation to get 6x=24. Finally you divide both sides by 6 to get x=4

help please im mark brainliest I just need to get this finish asap!

Answers

Answer:

See below

Step-by-step explanation:

1. A

2. F

3. G

4. I

Give an example of a function.
example:
Input 9 9 4 5 and output: 3 -3 2 -2

give examples plz
I will make the brainliest. ​

Answers

Jhhdcc C ffvtt he fhhjjmncfhnbcfgbnbvgghmnbjkmn

which prime number is found in between 70 and 80 and is made up of two odd digits which add up to 10

Answers

73. This adds to 10 and is prime

Answer:71

71, 73 and 79

Step-by-step explanation:

A prime number is a number that can only be divided by 1 or itself. Otherwise, it is a composite numbers.

There are three numbers between

70

and

80

that fit this criteria,

71

,

73

, and

79

b. During two years of college, a student earned $12,000. The second year she earned $500
more than twice the amount she earned the first year. How much did she earn the first
year?

Answers

Answer:

6000 dollars duhhhhhhhhhhhh

Dina and masha started out on a 12 mi bike path at the same time. when dina reached the end of the 12 mi, masha still had 4 mi left to bike. if dina's biking speed is 10 mph, find masha's biking speed. HELP NOWWW

Answers

Answer:

Dina took 12/8 = 3/2 hrs

So, if Masha's speed was x

3/2 x = 12-3

x = 6 mi/hr

Answer:

Step-by-step explanation:

Dina finished in a time of

12 mi / 10 mi/hr = 1.2 hr  

Masha's speed is (12 - 4 mi) / 1.2 hr = 6⅔ mph

1.25 is closer to 1.04 or not ?
plz heelp

Answers

Answer:

Yes 1.25 is closer to 1.04

Step-by-step explanation:

Hope this helps!

Answer:

1.25 is not closer to 1.04 because it's like, 1 dollar and 4 cents; compared to 1 dollar and 25 cents. Obviously 25 cents is more than 4 cents.

1.25 rounded:

1.30

1.04 rounded:

1.00

Julie has 300ml of juice, She gives of the juice away.
How much juice does she give away?

Answers

Answer: Up to 300 ml because that is all she has in total. I think the question is missing parts.

Step-by-step explanation:

Lindsey went to best buy and bought an MP3 Player. If the MP3 Player costs $78.99 and the sales tax was 6.5%, what was her total bill?

Answers

Answer:

$84.12

Step-by-step explanation:

78.99 x 0.065 = 5.13

78.99 + 5.13 = 84.12


Please help me ASAP

Answers

Answer:

New points:

N: (4,-5)

X: (2,-3)

B: (-1,-4)

Step-by-step explanation:

Rotate about the origin (0,0) counter clockwise 90 degrees

Can someone help please

Answers

Answer:

0.3 miles per hour

Step-by-step explanation:

Speed is distance divided by time so your equation is 45 divided by 150. 45 divided by 60 plus 60 plus 30 = 150 45 divided by 150= 0.3

Find the inequality represented by the graph

Answers

Answer:

y < 3/4 x

(We don't put another number at the end, if the y-intercept is 0, btw.)

Step-by-step explanation:

We know that the line has a positive slope, because it's going upwards to the right.

(We can use rise/run to determine the exact slope: Just go up 3 units and to the right 4 units, starting from the first point. Now we know the slope is 3/4).

Further more we know that the y-intercept is 0, because that's the point in which the line crosses the y-axis.

We also know that since the line is dotted, the sign will be either < or >.

And the shaded area below indictes that y is lesser than, meaning we use this sign <.

Hope this helps you :)

During the year 2011 season a quarterback passed for 302 yd per game he played on my 16 regular season game for that year for how many total yards did the quarterback pass

Answers

Answer:

4,832 yards

Step-by-step explanation:

302x16=

Luna is competing in a 200 m race.
She runs at a constant speed of 5.4 m/s for the first 50 m, then 4.4 m/s for 10 seconds.
The remainder of the race takes her 29 seconds to complete.
What is Luna's average speed for the entire race to 1 dp?

Answers

Answer:

24

Step-by-step explanation:

Answer:

24 in the answer

Step-by-step explanation:

6= 2(y+2) i need help on this

Answers

Y = 1
This the answer just trust

A store manager is marking down cameras from $300 to $150. What percentage is the discount?

Write your answer using a percent sign (%).

Answers

Answer:

the discount is 50% the previous price

A. Direction: Arrange the given number tiles in a correct order to make it divisible to the given number. Apply the divisibility rules. Given Answer 3 8 4 3 2 9 1 6 8 3 8 3 8 0 5 1. Divisible by 8 2. Divisible by 4 3. Divisible by 11 4. Divisible by 12 5. Divisible by 4 6. Divisible by 8 7. Divisible by 11 8. Divisible by 12 9. Divisible by 4 10. Divisible by 8 7. 2 5 4 5 9 1 0 4 7 6 4 1 6 2 1​

Answers

Sorry i don’t understand its a bit confusing

Find the differential of the function.
u = 3x4 + 4

Answers

Answer:

U(x)= 3+4

Step-by-step explanation:

I simplified this equation into function notation form, then simplified the 12 and 4 with the common factor of 4.

Hope this helped and have a great day,

Ginny

Answer:

14

Step-by-step explanation:

you could solve this three different ways

1. 4*3 is 12  so add 4 = 16

2. 4 squared because 4*4 = 16

3. draw 4 groups of four to get 16

$120; Markup: 35%

What's the final price? pls show how u got the answer...​

Answers

Answer: 162

Step-by-step explanation:

So you will need to find the Markup. The original cost is $120.

Divide the number by 100 is 1.2. $1.2 is 1% of the $120.Now times the number by 35. $1.2 x 35 is $42.Finally, add the number. 120 + 42 = 162.

I hope this is the answer you are looking for.

The mean of 4 numbers is 40, what is the sum of the 4 numbers

Answers

Answer:

the sum of 4 numbers is 160

Step-by-step explanation:

Let 4 numbers be a, b, c, d

Mean of those 4 numbers is: (a+b+c+d) : 4 = 40

So the sum of 4 numbers is: (a+b+c+d) = 40 x 4 = 160

=> 160 is the sum of 4 numbers

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