A rectangle 7 feet longer than it is wide find the dimensions of the rectangle if its area is one 198 sq ft.

Answers

Answer 1
w=width l=length 
l=w+7

w(w+7)=198
w^2+7w-198=0
(w-11)(w+18)=0
w=11 or -18

w=11 and l=18

Related Questions

Eighteen more than twice a number is 8.Solve for the variable

Answers

The answer is (18+2)x8
To find the answer you make it into an equation and then try to get x alone
2x+18=8
     -18 -18      (subtract 18 from both sides)

     2x=-10      (divide by 2)
     2      2

        x=-5

The answer is -5

Convert 0.656 to a fraction. A. 21⁄32 B. 22⁄30 C. 20⁄33 D. 23⁄12

Answers

The answer is A. 21/32
none of these options. .656 simplifies down to 82/125

Suppose the probability that a randomly selected​ man, aged​ 55-59, will die of cancer during the course of the year is StartFraction 300 Over 100 comma 000 EndFraction . How would you find the probability that at least 1 man out of​ 1,000 of this age will die of cancer during the course of the​ year?

Answers

1000 randomly selected

The question is an example of binomial distribution.

P(x=r) = nCr* p^r* q^(n-r) ( nCr = n! / ( (n-r)!*r! )

p = probability of die = 300/100000 = .003

P ( at least one man would die) = 1-P(at most one man would die)

= 1 - [ P(X =0) + P(X= 1)

= 1- [ {1000C0(.003)^0 *(.997)^1000} + { 1000C1(.003)^1 *(.997)^999} ]

= .801

if your going 20 miles per hour how long will it take you to reach 100 miles

Answers

It would take you around 5 hours to reach 100 miles going 20
It will take you 5 hours;
20 = 1
*5=*5
100=5 hours

What is the surface area of the rectangular prism below?

A. 823 u
B. 740
C. 700
D. 1260

Answers

C: 700 units squared

Answer:

C) 700 unit².

Step-by-step explanation:

Given : A rectangular prism .

To find : What is the surface area of the rectangular prism below.

Solution : We have given that  a rectangular prism with

Length = 14 units,

Width = 12 units

Height = 7 units.

Surface area of rectangular prism = [tex]2(length* width\ +\ height*width\ +\ height*length})[/tex].

Plugging the values

Surface area of rectangular prism = 2 ( 14* 12 + 7 *12 + 7 *14)

Surface area of rectangular prism = 2 ( 168 + 84 + 98)

Surface area of rectangular prism = 2 ( 350).

Surface area of rectangular prism = 700 unit².

Therefore, C) 700 unit².

If 3n+m=14 and n+m=1, find the value of n-m.

Answers

Hey there! :D

We can subtract the two equations.

3n+m=14
n+m=1

3n-n=2n

m-m=0

14-1= 13

We are left with:

2n=13

Divide both sides by 2.

n=6.5

Plug that in to find m.

n+m=1

6.5+m=1

Subtract both sides by 6.5.

m=-5.5

Now, put the values for m and n into the last equation for the value.

n-m

6.5-(-5.5)

Two negatives make a positive.

6.5+5.5= 12

The value is 12.

I hope this helps!
~kaikers

What is estimate the sum or difference of 1 5/6 + 2 2/11

Answers

Add Estimate:4
Subtract Estimate:0
Step 1. Add the whole numbers first.

[tex]3+ \frac{5}{6} + \frac{2}{11} [/tex]

Step 2. Find the Least Common Denominator (LCD) of [tex] \frac{5}{6} [/tex] , [tex] \frac{2}{11} [/tex]

Method 1: By Listing MultiplesList out all multiples of each denominator, and find the first common one.

Multiples of 6 : 6, 12, 18 ... 54, 60, 66, ...
Multiples of 11 : 11, 22, 33, 44, 55, 66, ...

Therefore, the LCD is 66.

Method 2: By Prime FactorsList all prime factors of each denominator, and find the union of these
 primes.

Prime Factors of 6: 2,3

Prime Factors of 11: 11


Therefore, the LCD is 2 x 3 x 11 = 66.

LCD = 66

Step 3. Make the denominators the same as the LCD

[tex]3+ \frac{5*11}{6*11} + \frac{2*6}{11*6} [/tex]

Step 4. Simplify. Denominators are now the same

[tex]3+ \frac{55}{66} + \frac{12}{66} [/tex]

Step 5. Join the denominators

[tex]3+ \frac{55+12}{66} [/tex]

Step 6. Simplify

[tex]3+ \frac{67}{66} [/tex]

Step 7. Convert [tex] \frac{67}{66} [/tex] into a mixed fraction

[tex]3+1 \frac{1}{66} [/tex]

Step 8. Simplify

[tex]4 \frac{1}{66} [/tex]

Done! :) Hope This Helps! :) ♥♥♥

Decimal Form If Needed: 4.015152

















Tasha claims that her skateboard weighs about 3 pounds. is Tasha's claim reasonable? Explain

Answers

Yes, It would be reasonable since thats about the weight of a skateboard.
However, the average skateboard is closer to 6 pounds. So, the skateboard in the question is very possible- but it would be really low quality.

However- given that you are in middle school- I would say yes, it is reasonable.
yes but it is kinda small but i guess if she is younger the it would be ok. and also the material because wood would most likely break well at least if she was heavy.

Write and graph an equation in two variables that shows the relationship between the time and distance traveled

Answers

66s=f (s = 10, f = 660)

Answer:

1=1

Step-by-step explanation:

dfstregwrbfw

what is 16×45÷2
[tex]12 \times 4 + 23 \div 2 + 13 \div 4[/tex]

Answers

16x45/2
720/2
360

12 x 4 + 23 / 2+13 / 4
48 + 23 / 2 + 3.25
48 + 11.5 + 3.25
62.75







Hello!

Use the Order of Operations to solve. PEMDAS:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

EQUATION #1:

45 ÷ 2 = 22.5

16 × 22.5 = 360

ANSWER:

360

EQUATION #2:

12 × 4 = 48

23 ÷ 2 = 11.5

13 ÷ 4 = 3.25

Since there's no more division, we'll move onto addition.

48 + 11.5 + 3.25 = 62.75

ANSWER:

62.75

*Write down PEMDAS so you'll remember the order of operations!



Answer number one asap this is not a joke so please not random cmts thx will report if u do!

Answers

1. The area of one face of the bar is
.. face area = (50 mm)*(90 mm) = 4500 mm^2
The area of two sides of the bar is
.. side area = (50 mm +90 mm)*(3.5 mm) = 490 mm^2

Together, those areas cover half the bar, so the total paper required is
.. 2*(4500 mm^2 +490 mm^2) = 9980 mm^2 . . . . . . 3rd selection

2. The length of the central rectangle is
.. 8 ft + 6 ft + 10 ft = 24 ft
Its width is 7 ft, so its area is
.. Arect = (7 ft)*(24 ft) = 168 ft^2

Each of the two triangles has a base of 8 ft and a height of 6 ft, so together, they have an area of
.. Atriangles = (8 ft)*(6 ft) = 48 ft^2

Then the total area of the prism is
.. Atotal = Arect +Atriangles
.. = (168 ft^2) +(48 ft^2)
.. = 216 ft^2

PLSSS HELP!!!
What is the exact volume of the sphere?

56.3⎯⎯π ft³

274.625π ft³

366.16⎯⎯π ft³

1464.6⎯⎯π ft³

Answers

Just apply the law of volume to get 366.16

Answer:

366.16

Step-by-step explanation:

i promise

the bakery sold 65 cheesecakes. 3/5 of the cakes were chocolate. how many chocolate cheesecakes did they sell?

Answers

The answer is 39 of the cheesecakes are chocolate.

Which BEST describes the speed and velocity of the graph?

A)
Both speed and velocity are changing.


B)
The speed and velocity remain constant.


C)
The speed is constant and velocity is changing.


D)
The velocity cannot be determined from the graph.


Answers

Answer:

A - Both speed and velocity are changing.

Step-by-step explanation:

Though the answer is option A but option D can also be true. The velocity cannot be completely determined from the graph.  This is because, velocity is based on the direction and motion and the graph is not completely justifying this.

Though velocity cannot be determined, but it is clear from the graph that velocity is changing, because the speed is changing.

Therefore, option A is completely true.

A)

According to the graph, speed is increasing. Velocity is speed plus direction, so velocity is also changing. And this is an acceleration graph, so you know since acceleration is a change in velocity, both speed and velocity are changing.

How to simplify algebraic expression 8z+4f-6 using z=3 and f=9

Answers

54 is your answer to that problem
To simplify the given algebraic expression, first of all you should substitute the given values of the variables z and f into the expression.

8z+4f-6               Substitute the values of z and f
8(3)+4(9)-6         
24+36-6              
60-6
54

The result of the simplification of the given algebraic expression is 54. 

Help with 4 and 5 please!!

Answers

Question 4
The magnitude;
Using Pythagoras theorem,
 (-200)² + (-530)² = 320900
                 Length = √320900
                              =  566.5 mi
To get the angle
Tan θ = opposite/adjacent
          = 200/530
          =  0.3774
       θ = tan^-1 (0.3774)
          =  20.67
          ≈ 21°
The direction from the Cartesian plane is south of west.
Therefore, the magnitude and the direction will be;
 About 566.5 mi, 21° south of west

Question 5.
To get the resultant of two vectors we just add the two vectors given.
This involves adding the corresponding values.
Thus, for <-6,5> and <6,-5>
Resultant vector = <(-6+6),(5+-5>
                           = <0,0>
 

The underlying rock ledge of Canada's horseshoe falls is cut back about 2 feet each year by erosion. Calculate how much the rock ledge will erode over a 7 year period of time

Answers

Hi There!

So the rock edge is cut back 2 feet each year by erosion and we have to figure out how much it will be cut back by 7 years using this knowledge so.

2 feet each year

2 + 2 + 2 + 2 + 2 + 2 + 2

or

7 x 2

=

14 so:

The Rock Ledge will have eroded 14 feet at the end of 7 years
Over a period of 7 years the rock ledge will erode 14 feet depending on the increase of erosion. 
Hope this helps!!!  :)  ;)

Explain how two angles can be complementary angles.

Answers

two angles can be complementary angles add up to 90. So if you have a angle that is 30 and another one that is 60 those would be complementary because if you add them up they add up to 90.

Use the equation p=8.31/v where p = pressure and V = volume. What happens to the pressure as the volume approaches 0? Explain your reasoning.

Answers

Answer:

1 The pressure approaches infinity.

2 The function is undefined for V = 0.

3 There is an asymptote at V = 0.

The pressure tends to infinity.

Given information,

The equation [tex]p=\frac{8.31}{v}[/tex]

Where p= pressure,

v= volume

If the volume approaches [tex]0[/tex] then the pressure [tex]p=\frac{8.31}{v}[/tex] will reach to infinity.

Therefore, the pressure tends to infinity.

For further details refer to the link:

https://brainly.com/question/356585

Select the two equations that can be used to solve the following inequality

Answers

the first one and the last one because when you solve the inequality you could have to change your sign

The area of a parallelogram is 375 centimeters the base is 25 centimeters find the height

Answers

The formula for finding the area of a parallelogram is the base*height.
By plugging in the information that you have already, we know that: 25*height=375
In other words:
25x=375
x=15

The height is 15cm.
To find the answer to the problem "The area of a parallelogram is 375 centimeters the base is 25 centimeters find the height." you must divide the area by the base.
375 divided by 25 equals 15

Clearing fractions

SOLVE

Answers

You can multiply by -30 to clear fractions.
.. 47 ≤ 10x +60

Now, subtract 60 and divide by 10
.. -13 ≤ 10x
.. -1.3 ≤ x

Will mark brainliest. HELP PLEASE. QUICK

Answers

the answeeeer is B. Mark brainly

What is the answer to this problem

Answers

A possible coordinate pair could be (7, 11) or (64, 68).

the sears tower of Chicago is 1450 feet high. a model is 24 inches tall. what is the ratio of the height of the model to the height of the actual sears tower?

Answers

Def scale is 1:x where x is actual size
Note 1 doesn't always work for numbers given, but is preferred

24:1450 -> 24/1450
Let's do it step by step of easiest factor to find
An obvious one is 2
24/1450 = 12/725
Can't be simplified
Thus the scale is 12:725
But if 1:x is required we divide it out to get
12:725 is about 1:0.0166
Actual number is irrational and goes on forever

What are three rational numbers that are between 1/3 and 1/2?

Answers

5/12 , 4/12 , and 6/12
1/3 becomes 4/12 and 1/2 becomes 6/12, so 5/12 would be inbetween. Check with others just to make sure :)

Which word best describes the degree of overlap between the two data sets?

A none

B high

C moderate

D low

Answers

I think high

Sorry if I'm wrong

I didn't get ur question that much

Answer:

The Answer Is *HIGH*

Step-by-step explanation:

[tex]\beta \alpha \lim_{n \to \infty} a_n[/tex] :)

Peter is 2 years older than Winnie. Peter's age is 16 years less than seven times Winnie's age. The equations below model the relationship between Peter's Age (p) and Winnie's age (w):

p=w+2
p=7w-16

Which is a possible correct method to find Peter's and Winnie's ages?

A. Solve w+2 = 7w-16 to find the value of w
B. Solve p+2 =7p-16 to find the value of p
C. Write the points where the graphs of the equations intersect the x axis
D. Write the points where the graphs of the equations intersect the y axis

Answers

Given equations:
P=w+2
p=7w-16
Compare both equations
7w-16=w+2
Add 16 to both sides.
7w=w+18
Subtract w from both sides.
6w=18
Divide both sides by 6.
w=3, which is the age of Winnie.
Now Peter's age=3+2=5 years

Option A is the correct method to find the age of Peter and Winnie.

Answer:

A. Solve w+2 = 7w-16 to find the value of w.

Step-by-step explanation:

Here p represents the age of Peter and w represents the age of Winnie,

Given,

Peter is 2 years older than Winnie.

⇒ p = w + 2 -----(1)

Also, Peter's age is 16 years less than seven times Winnie's age.

⇒ p = 7w - 16 -----(2),

By equating right sides of equation (1) and (2),

We get,

w + 2 = 7w - 16,

Since, this equation is only in the variable w,

Thus, we can find the value of w with help of the above equation,

After putting this value in either of equation (1) or (2),

We can find the value of p.

Hence, option A is correct.

Note : From equation (1) and (2),

w = p - 2 and [tex]w=\frac{p+16}{7}[/tex]

[tex]\implies p-2=\frac{p+16}{7}[/tex]

⇒ Option B is incorrect.

Now, let x represents w and y represents p in the graph,

Then, the solution will be the intersection point of lines y=x+2 and y=7x-16,

Which is shown below,

Options C and D are incorrect.

HURRY!!!When are two triangles said to be in perspective?
a.
If the corresponding vertices of two triangles form three lines that intersect in a single point
c.
If the corresponding vertices of four triangles form three lines that intersect in a single point
b.
If the corresponding vertices of three triangles form three lines that intersect in a single point
d.
If the corresponding vertices of two triangles form three lines that intersect in two points.


What is the next number in the following sequence.
0, 1, 1, 2, 3, 5, 8...
a.
9
c.
10
b.
13
d.
11

Answers

1. A
Two triangles are said to be in perspective (or as some would call it, homologous) from a point if their corresponding vertices form three lines that intersect in that single point (called a colinear point). Desargues' theorem asserts that if two triangles are in perspective from a point, then they are also perspective from a line (called the perspectrix); for this reason perspective triangles are also calles coplanar triangles.

2. B (13)
The series of numbers shown in  the question is known as the Fibonacci Sequence. The next number in the sequence is found by finding the sum of the two numbers that precede it.

1 = 0+1
2 = 1 + 1
3 = 1 + 2
5 = 3 + 2
8 = 5 + 3

Next number is 13 (8 + 5)

a volleyball reaches its maximum height of 13 feet, 3 seconds after its served. Which of the following quadratics could model the height of the vollyball over time after it is served. Select all that apply.

A: f(x)=2x^2+12x+5

B: f(x)=-2x^2+12x-5

C: f(x)=-2x^2-12x+5

D: f(x)=-2(x-3)^2+13

E: f(x)=-2(x+3)^2+13

Answers

Only selections B and D give a maximum height of 13 at t=3. However, both of those functions have the height be -5 at t=0, meaning the ball was served from 5 ft below ground. This does not seem like an appropriate model.

We suspect ...
• the "correct" answers are probably B and D
• whoever wrote the problem wasn't paying attention.

Answer:

D.

Step-by-step explanation:

Intuitively it's a volleyball game reaching its maximum height, then we must discard the 1st option because of its parameter a >0, and whenever a>0 the parabola makes a curve, rather different than in a volleyball game.

Also, considering Vertex of this parabola by (-b/2a, -Δ/4a) given the fact that the question says the maximum height.

Taking

y= height in feet

x= time in second

Function Vertex (-b/2a, -Δ/4a)=(-3, -13)

A: f(x)=2x²+12x+5 False

B: f(x)=-2x²+12x-5 Function Vertex (-b/2a, -Δ/4a) = (3,23) False

C: f(x)=-2x²-12x+5  Function Vertex (-b/2a, -Δ/4a) = (-3,23) False

D: f(x)=-2(x-3)²+13 Function Vertex (-b/2a, -Δ/4a) = (3,13) True

E: f(x)=-2(x+3)²+13 Function Vertex (-b/2a, -Δ/4a) =(-3,13) False

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