40 PTS ! The length of the rectangle is 2 ft more than its width. The area of the rectangle is 80 square feet. Find the width of the rectangle.

Answers

Answer 1

Answer:

The length of a rectangle is 2 feet more than it's width. How do you find the dimensions of the rectangle if its area is 63 square feet?

Step-by-step explanation:

x(x+2) = 63

x^2 + 2x = 63

x^2 + 2x - 63 = 0

Quadratic formula with numbers plugged in: (-2 +or- sqrt(4 - 4* 1 * -63))/2 becomes

-2 +or- sqrt(256)/2 so (-2 +or- 16)/2 therefore -18/2 or 14/2. Discard negative result.

x = 7. 63/7=9. Sides are 7ft and 9ft.

Answer 2

Answer:

8 ft

Step-by-step explanation:

Given

The length l = w + 2The area  lw = 80

Substitute l and solve the following for w:

w(w + 2) = 80w² + 2w = 81w² + 2w + 1 = 81(w + 1)² = 9²w + 1 = 9w = 8

The width is 8 ft


Related Questions

Back to Content
QUIZ:
Foundations - Systems of Equations
Which expression is equivalent
Please help

Answers

Answer:

3

Step-by-step explanation:

Please help me with my math guys really need it

Answers

Answer:

The answers are given in the pictures. One of them was an opinionated question, so you can just put whatever you want there. I put my opinion just in case.

Step-by-step explanation:

When do you use a solid line for graphing a linear inequality?

Answers

Answer: You use it to represent that the equation your graphing is either greater than or equal too or less than or equal too

Step-by-step explanation:

A dotted line is there to represent that the equation your graphing is either grater than or less than

So the solid line represents the same thing, except that they both have a possibility of being equal too which is why the line is solid.

I hope this helps!

Henry is mixing concrete.To make
concrete he needs to mix cement,
sand and gravel in the ratio 4:3:1 by
weight. Henry needs to make 120 kg
of concrete. He has 65 kg of cement,
40 kg of sand and 15 kg of gravel.
Which ingredient is Henry short of?

Answers

Answer:

Sand

Step-by-step explanation:

120kg = (4 + 3 + 1) units = 8 units

1 unit = 120 ÷ 8 = 15kg

Calculating required quantities:

Cement: 4 units = 4(15) = 60kg

Sand: 3 units = 3(15) = 45kg

Gravel: 1 unit = 1(15) = 15kg

Comparing these values to those given in the question, he is short of sand.

The original price of a skateboard, not including tax, was $96. Charlie bought the skateboard on sale, and he saved 30% off of the original price.

What was the sale price of the skateboard?

Answers

Answer:

$67.20

Step-by-step explanation:

"30% off" translates into multiplying the original price by 1.00 - 0.30, or 0.70.

0.70($96) = $67.20 is the sales price

Please help!!! Brainlyest answer!!!!

Answers

Answer:

Monday, Thursday, and friday

Step-by-step explanation:

Use the inequality given and solve for h

12.5h≥106.25

h≥8.5

from here you just select all days that have more than or equal to 8.5 hours

which is

Monday, Thursday, and friday

Which of these is NOT the net of a cube.

Answers

Answer:

A.

Step-by-step explanation:

You don't really need much of an explanation ...

pls help!! i’ll mark you brainliest : )

Answers

Answer:

B, d, e

Step-by-step explanation:

The formula for the area of a triangle is 1/2×base (b)×height (h)

For b

Half of 3 is 1.5 × 8 = 12

For d

Half of 6 is 3 × 4= 12

For e

Half of 12 is 6 × 2= 12

Suppose we have two thermometers. One thermometer is very precise but is delicate and heavy (X). We have another thermometer that is much cheaper and lighter, but of unknown precision (Y). We would like to know if we can (reliably) bring the lighter thermometer with us into the field. So, we set up an experiment where we expose both thermometers to 31 different temperatures and measure the temperature with each. We get the following observations:
x = 0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120
y = 0.02, 3.99, 7.91, 12.03, 16.09, 20.00, 23.98, 28.09, 31.94, 36.03, 40.00, 44.05, 47.95, 52.00, 55.87, 59.90, 63.91, 67.95, 72.11, 76.02, 80.01, 84.10, 88.06, 91.74, 96.02, 99.95, 103.87, 108.01, 111.99, 116.04, 120.03
We want to test if these thermometers seem to be measuring the same temperatures. Let's use the threshold.
(a) Write down the appropriate hypothesis tests for β1.
H0: β1(≠ / = / > / <) 1 and Ha: β1( ≤ / = / > / ≠ / ≥ / <) 1.
(b) The test statistic is____.
(c) The p-value is____.
(d) Therefore, we can conclude that:_____.
1) The data provides evidence at the 0.1 significance level that these thermometers are not consistent.
2) The data provides no evidence at the 0.1 significance level that these thermometers are not consistent.
3) The probability that the null hypothesis is true is equal to the p-value.
4) The probability that we have made a mistake is equal to 0.1.

Answers

Answer:

a)H0: β1= 1 and Ha: β1 ≠1

b) The test statistic is____.t= b- β/ sb

c) The p-value is____.0.999144

(d) Therefore, we can conclude that:_____. there is not enough evidence to reject the null hypothesis.    

2) The data provides no evidence at the 0.1 significance level that these thermometers are not consistent.

Step-by-step explanation:

The null and alternate hypotheses are

H0: β1= 1 and Ha: β1 ≠1

The significance level is  alpha= 0.1 but ∝/2 =0.1/2= 0.05 for two tailed test.

The critical region at t ∝/2 (29)=  t ≤ - 1.699 , t ≥ 1.699

The test statistic is

t= b- β/ sb

which has t distribution with υ= 31-2= 29 degrees of freedom.

Calculations

Ŷ = a +bX

b = SPxy /SS x= Σ(xi-x`)(yi-y`)/Σ(xi-x`)²

b = 39671.6/39680= 0.9998

a = y` - bx`

x`= 60

y`= 59.989

a = 59.989 -0.9998*60 = 0.001734

Syx²= Σ( yi -y`)²/ n-2= 39663.3857/ 29=1367.68965

Syx= 36.9822

Sb= Syx/ √∑  (x-x`)²

Sb= 36.9823/ √39680

Sb= 36.9823/ 199.984

Sb= 0.18493

x-x`                 y-y`                    (x-x`)²     (x-x`)(y-y`)

-60                 -59.969            3600              3598.1419

-56                  -55.999           3136          3135.9458

-52                 -52.079             2704          2708.1097

-48                -47.959              2304           2302.0335

-44                 -43.899              1936          1931.5574

-40                -39.989               1600          1599.5613

-36              -36.009                1296            1296.3252

-32               -31.899              1024              1020.769

-28               -28.049             784                785.3729

-24                -23.959             576               575.0168

-20               -19.989             400                  399.7806

-16                 -15.939            256                  255.0245

-12               -12.039             144                    144.4684

-8                  -7.989             64                       63.9123  

-4                 -4.119                16                      16.4761

0                 -0.08903           0                         0

4                  3.921              16                      15.6839

8                7.961                64                       63.6877

12                12.121             144                     145.4516

16                16.031             256                   256.4955

20               20.021           400                  400.4194

24               24.111              576                   578.6632

28                28.071           784                     785.9871

32                 31.751            1024                    1016.031

36               36.031           1296                    1297.1148

40                39.961          1600                    1598.4387

44                43.881           1936                     1930.7626

48               48.021           2304                     2305.0065

52              52.001             2704                     2704.0503

56             56.051              3136                       3138.8542

60            60.041                3600                     3602.4581

∑0          0                 39680 (SSx)     39671.6 (SPxy)

Putting the values

The test statistic is

t= b- β/ sb

t= 0.9998-1/ 0.18493      ( β=1 given)

t=-0.0010815

Since the calculated t=-0.0010815  does not lie in the critical region  t ∝/2 (29)=  t ≤ - 1.699 , t ≥ 1.699 we conclude that these thermometers seem to be measure temperatures.

The p-value is  ≈ 0.999144

there is not enough evidence to reject the null hypothesis.    

Convert to the given unit. 65 m = cm​

Answers

Answer:

65m = 6500 Cm.

Step-by-step explanation:

Jason spent $980 total on a new Ps5 and some games. He paid $800 for the Ps5 and he paid $45 per game. How many games did Jason buy?

Answers

Answer:

4 games

Step-by-step explanation:

Hope this is right!!!

Answer:

4

Step-by-step explanation:

So first off, subtract the 800 from the 980, this leaves the amount of money left ofr games:

980-800

=

180.

Next divide this by how much each game cost, to get the amoutn per game:

180/45

=

4

So we know he got 4 games.

Hope this helps!

HELP MREEEEEEEE ASAP IM TIMED PLEASE HELP

Answers

Answer:

i need points i sugjest going on yt it gives you full guide

Step-by-step explanation:

Answer:

I think its 3 I took this test last year if I remember right 3

20 POINTS PLEASE ANSWER THIS ASAP!!!!!


How many six-character code words can be formed if the first two characters are letters and the others are letters and/or digits? Repetition of numbers and letters is allowed.



a) 6,760,000


b) 723,465,600


c) 1,135,420,416


d) 918,918,000


2.Answer question # 1 if Repetition is NOT allowed.
a) 918,918,000

b)723,465,600

c)1,135,420,416

d)720

Answers

Answer:

A ; 3276000 (second answer)

Step-by-step explanation:

think of it like this:

L        L       #      #      #    # ( six symbols, L for letters, # for numbers)

26 X 26 X 10 X 10 X 10 X10 = 6760000

If we take away repetition then the equation would look like this:  

L       L       #     #     #    #   ( 26 then 25 due to the loss of a letter due to no  )

26 X 25 X 10 X 9 X 8 X 7   ( Repetition. Same with 10,9,8,7                               )  

Therefore the answer to the second question isn't even up there which is 3276000.

Hope this helps...

Please help me with this

Answers

Answer:

πr2

Step-by-step explanation:

Answer:

i think the answer is

Step-by-step explanation:

πr^2

URGENT!!!!!!!!!!!!!! Three ballet dancers are positioned on stage. If Ryan is 8 meters straight behind Nina and 6 meters directly left of Heather, how far is Nina from Heather? wil give 50 points for right answer but will delete point takers

Answers

Answer:

Is the answer to the :

1st is 9

2nd is 17

3rd is 20

4th is 5

5th is 6

If it helps you....then please mark brainliest

Step-by-step explanation:

Elimination was used to solve a system of equations. One of the intermediate steps led to the equation 7x=21. Which of the following systems could have led to this equation
A. 8x-y=15, x+y=-6
B.3x+2y=7, 2x-y=7
C.4x+3y=24, -3x-3y=3
D. 7x+2y=21, -7x-2y=21

Answers

Answer:

Step-by-step explanation:

We can do this question by using concept of SYSTEM OF EQUATIONS. The answer for the question is option B.

How do you solve Linear Equations?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

Calculation

7x=21 is the intermediate state.

 x=3 is the given solution

Substitue x in the given solutions and find y from the given solutions.

   9+2y=7 and 6-y=7

 so y=-1 in both the cases.

 

We can do this question by using concept of SYSTEM OF EQUATIONS. The answer for the question is option B.

To refer more about SYSTEM OF EQUATIONS, visit:

https://brainly.com/question/25976025

#SPJ1

A right rectangular prism has a base with sides 6 cm and 8 cm. If the volume of the prism is 624 cm^3, find the height of the prism.

Answers

Answer:

H=13cm

Step-by-step explanation:

Volume= Length x Width x Height

v=624cm^3

L=8cm

W=6cm

8cm x 6cm=48cm^2

Divide 624cm^3 by 48cm^2= 13cm

H=13cm

Hope this helps!

what is 3 /8 times 4/7 in simplest form

Answers

Answer:

3/14

Step-by-step explanation:

help plsss :’)))))))

Answers

Answer:  Choice C) 50

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

Explanation:

Start in the first row. The stem here is 4, which forms the tens digit of the value. The first leaf of this row is 3, so it's the units digit.

A tens digit of 4 and units digit of 3 forms the value 43. The value 43 is the smallest value of this data set. We call this the minimum.

The max is 93 for similar reasons, but we look at the opposite endpoint of the spectrum. Locate the bottom row (stem = 9) and note the last leaf here is 3. So that's how we get 93 here.

Now compute the range:

range = max - min

range = 93 - 43

range = 50, answer is choice C

In a plane, line b is parallel to line f, line f is parallel to line g, and line h is perpendicular to line b. Which of the following cannot be true?

Answers

Answer: f is Parralel to g

Step-by-step explanation:

Answer:

You gave us no choices

Step-by-step explanation:

h is not parallel f

HELP HELP JIMTHOMPSON5910

Answers

Note: I had to write FA in that order, and not the other way around, due to the filter.

Part 1

There are 2 answers and they are

Choice 2) FA/AB = FG/BCChoice 3) AB/FA= BC/FG

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

Explanation:

For any of the answer choices we are involving the following segments

ABFABCFG

So we're only involving four segments. They are paired up to form fractions which are then set equal to one another. Notice how segment FA is smaller than AB, and how they correspond together. Going from FA to AB means go from small to big. If we write the ratio FA/AB, then can think of it as small/big.

Also note that FG is smaller than BC, and both segments also correspond as they are both going downhill from left to right. So we can write FG/BC to set equal to the first fraction we set up.

Overall, the proportion FA/AB = FG/BC is one valid answer.

The other valid answer is AB/FA= BC/FG. This equation is formed by applying the reciprocal to both sides of the first equation mentioned.

We can rule out choice 1 because FA/AB is small/big, but BC/FG is big/small. The two don't match up. Choice 4 is ruled out because AB does not correspond to FG.

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

Part 2

Answer:  27

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

Explanation:

Through similar ideas mentioned in part 1, we can form this proportion

FA/AB = AG/AC

we have the format small/big = small/big

We are given these values either in word form or through the diagram

FA= 15AB = FA+FB = 15+30 = 45AC = 81

Plug in those given values and isolate AG

FA/AB = AG/AC

15/45 = AG/81

15*81 = 45*AG .... cross multiply

1215 = 45AG

45AG = 1215

AG = 1215/45 .... divide both sides by 45

AG = 27

Segment AG is 27 inches long.

Write the equation of the graph

Answers

Answer:

x + 2y - 5 = 0

Step-by-step explanation:

We can see that , the graph passes through (0,2.5) and (5,0) . Therefore the ,

x intercept is 5 y intercept is 2.5

We can use the intercept form of equation as ,

=> x/a + y/b = 1

=> x/5 + y/2.5 = 1

=> x + 2y/5 = 1

=> x + 2y = 5

=> x + 2y -5 = 0 .

This equation can be verified by plotting the graph .[ Refer to attachment ]

Hence the equation of the line is x + 2y - 5 = 0 .

A sphere shaped orange has a diameter of 7 centimeters. Find the volume of the orange to the nearest tenth.​

Answers

22cm^3

Step-by-step explanation:

My education system is different so I dont know what nearest tenth would mean in this .

But going mathematically:

Its diameter is 7 centimetres.

So to find its volume we can use the formula pi/d or pi/r^2

Now, 22/7÷7 would be 22cm³.


The area of a rectangle is 99 ft”, and the length of the rectangle is 7 ft more than twice the width. Find the dimensions of the rectangle

Answers

Answer: Width = 5.5ft

Length = 18ft

Step-by-step explanation:

Let the width of the rectangle be x

Since the length of the rectangle is 7 ft more than twice the width. This mean that the length will be:

= (2 × x) + 7 = 2x + 7.

Therefore, length × width = area

x × (2x + 7) = 99

2x² + 7x = 99

2x² + 7x - 99 = 0

2x² + 18x - 11x - 99 = 0

2x(x + 9) - 11(x + 9) = 0

(2x - 11) = 0

2x = 0 + 11

2x = 11

x = 11/2

x = 5.5

The width is 5.5ft

Length = 2x + 7 = 2(5.5) + 7 = 11+7 = 18ft

The product of the square of a number and 8. Let the unknown number equal five. plz i need the answer

Answers

Answer:

200

Step-by-step explanation:

If you multiply 8 by the number 5's square, 25, you get 200

Help me pleaseeeeeeeeee!!!!

Answers

Report this clown who put the first answer he’s trying to get your ip.

I've been crying about this question plz Help i'll give brainliest. Question 7

Answers

Step-by-step Answer/Explanation(answers are underlined and bolded):

okay, first you want to identify all the numbers and what they mean:

lawyers:235  (within the main number of lawyers: Criminal lawyers: 74)

Family doctors: 87

Sergeons: 30

From there, add up all of said numbers (ignore the Criminal lawyers for now):

235 + 87 + 30 = 352

(352 is going to be the denominator or the number that we are going to be dividing from.)

Next, we start answering the questions!

the first one is asking for the percent of sergeons.

To do this, we need to take the number of sergeons listed, 30, and divide 352 from it:

30/352 = .0852

then multiply this by 100:

.0852 x 100= 8.52%

So the percent of sergeons is 8.52%

Next question: the percent of Family Doctors

so like the last question, we identify the number of doctors, 87, and divide 352 from it, then multiplying it by 100 after:

87/352 = .2472

.2472 x 100 = 24.72%

Meaning the percent of family doctors is 24.72%

Criminal Law is next:

repeat the steps in the last couple of problems:

72/352 = .2045

.2045 x 100 = 20.45%

Family Law:

Okay, so now, we need to take that 235 from earlier and subtract it from 72 (the criminal law students) to get the number of students going into family law.

235 - 72 = 163

now repeat the steps from the earlier problems:

163/352 = .3864

.3864 x 100 = 38.64%

(I don't particularly understand what the rest is asking...I figure you can probably figure out from here...? I hope this helps!!)

14. What is the length of a diagonal of rectangle EFGH? Show your work

Answers

Answer:

The length of the diagonal of the rectangle is of [tex]\sqrt{58}[/tex] units.

Step-by-step explanation:

Pythagorean theorem:

The square of the hypothenuse h is equal to the sum of the squares of sides a and b, that is:

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

Diagonal of a rectangle:

The diagonal is the hypothenuse, while the sides are a and b.

In this question:

The height has coordinates are y = 9 and y = 12, so the height is [tex]a = 12 - 9 = 3[/tex]

The length has coordinates at [tex]x = -6, x = -13[/tex], so the length is [tex]b = -6 - (-13) = 7[/tex]

Diagonal:

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

[tex]d^2 = 3^2 + 7^2[/tex]

[tex]d^2 = 9 + 49[/tex]

[tex]d^2 = 58[/tex]

[tex]d = \sqrt{58}[/tex]

The length of the diagonal of the rectangle is of [tex]\sqrt{58}[/tex] units.

(60 divided by (3+7) x2 ) x 5 +7 A. 60 B 22 C 30 D 67

Answers

Answer:

the answer is D

Step-by-step explanation:

Write the algebraic expression: The sum of 2 and 83p​

Answers

Answer and Step-by-step explanation:

2 + 83p would be the expression.

In word form:

Two plus eighty three times p.

#teamtrees #PAW (Plant And Water)

Answer:

[tex]2 + 83p[/tex]

Step-by-step explanation:

The phrase 'the sum of' indicates addition.

The phrase "The sum of 2 and 83p​" would add '2' and '83p'.

"The sum of 2 and 83p​" as an expression would be: [tex]2 +83p[/tex].

[tex]83p + 2[/tex] would also be correct due to the commutative property.

Hope this helps.

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