Alyssa's den is 8 feet longer than it is wide. If the​ den's area is 425 square​ feet, what are the dimensions of the​ room?

Answers

Answer 1

The dimensions of the room when Alyssa's den is 8 feet longer than it is wide are 15cm as 23cm.

How to illustrate the equation?

An equation simply means the statement that shows the relationship between the variables given. It has an equal sign to denote this.

Let the width of the den be x.

The length of the den is x+8.

We can set up the equation x*(x+8)=425 to represent the area of the den.

We can solve this equation by factoring it as x² + 8x =425.

x² + 23x - 15x - 425

x(x + 23) - 15(x + 23)

(x - 15)(x + 23)

Either way, we find that the width of the den is 15 feet and the length is 23 feet.

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Related Questions

Are these lines parallel,perpendicular or neither ? Y=(-4/3)xt18y=(4/3)x-6

Answers

Answer:

neither

Step-by-step explanation:

when slopes are the same its parallel

when slopes are multiplied and it equals -1 they are perpendicular

I'm need help asap! i dont get the question, i would appreciate it if somebody could help me( giving brainilest & 20 points)!!!

Look at picture below

Answers

Answer:

81/100 is the answer I believe if I'm wrong my bad

Answer:

81/100

Step-by-step explanation:

brainliest pls

Simplify the expression: 4.9x - 5 - 5.6x - 6 + 4.6g

Answers

Answer:

= -0.7x-11+4.6g

Step-by-step explanation:

hope this helps :)

Answer:

−0.7x − 11 + 4.6g

Step-by-step explanation:

Mark as Brainllest

If the m<1 = 17x - 30, and the <2 = 7x + 18, what is the value of x?

Answers

The value of x is 8.

What are supplementary angles?

Angles are formed whenever two or more straight lines intersect. These angles produced thus have individual and some common properties of which some can add up to form complementary angles, or supplementary angles.

Two angles are said to be supplementary if the value of their sum add up to 180^o.

From the given question, we can deduce that;

m<1 + m<2 = 180^o              (definition of complementary angles)

(17x - 30) + (7x + 18) = 180^o

17x - 30 + 7x + 18 = 180^o

24x - 12 = 180

24x = 180 + 12

24x = 192

x = 192/ 24

  = 8

x = 8

The value of x is 8.

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How to tell if a number is rational or irrational calculator?

Answers

We can tell if a number is rational or irrational by Venn Diagram

Both irrational and rational numbers are exact, yet they have different properties. Any number that can be expressed as P/Q, where P and Q are both integers and Q is more than zero, is considered to be reasonable. Simple fractions, however, cannot be used to express an irrational number. An illustration of a rational number is 2⅔ 3, while an irrational number is √2.

All integers, fractions, and repeating decimals are included in the concept of a rational number. We may represent every rational number as p/q, where p and q are integer numbers.

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Find the measure of angle 1

A. 90 degrees
B. 30 degrees
C. 120 degrees
D. 60 degrees

Answers

Answer:

120

Step-by-step explanation:

So there are two ways of doing this.

The easiest, we know that the biggest of 30, 60 and 90 degrees is 90.

We know that a right angle is 90 degrees.

The 1 angle is clearly bigger than 90 degrees.

So it must be 120.

The actual way of solving:

The mini trinalge that has the 90 degree angle in it is a 30, 60, 90 trinalge.

We know that the 3 is the 30 degree angle on the trinalge.

We know that the angle on the opposite side of the dotted line must be 30 as well.

Since thats 30, the opposite side of the dotted part of thr traingle must be 30 as well.

This means that the other two angles are 60 which you subtract from 180

This leaves 120

So 120 degree angle is the answer

Sorry if this is confusing I hope this helps!

help ! i should really pay attention in class

Answers

Answer:

I think its b

Step-by-step explanation:

The table shows the distance Penelope is from the park as she walks to soccer practice. Assume the relationship between the two quantities is linear.

Time (min), x Distance (m), y

5 1,930
10 1,380
15 830
20 280

Answers

The equation of the function in the form y=mx+b is y = 110x-2020

Adaptation of function speed

A line's equation is written as mx + b = y, where m denotes the rate of change or slope.

The intercept is B.

utilizing the coordinates

Calculate the slope.

m = 550/5

m = 110

The intercept for

280 + 110(20) + b

280 = 2200 + b

b = 180 - 2200

b = -2020

The equation for the function of the type y=mx+b is hence y = 110x-2020.

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The complete question would be:

The table shows the distance Penelope is from the park as she walks to soccer practice. Assume the relationship between the two quantities is linear. Find and interpret the rate of change and initial value. Then write the equation of the function in the form y=mx+b

9 is greater than or equal to -16​

Answers

9 is greater because it’s a positive number

find the equation of a line perpendicular to 2y=6-2x that passes through point (6,-7)

Answers

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]2y=6-2x\implies 2y=-2x+6\implies y=\cfrac{-2x+6}{2} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{-1}x+3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ -1 \implies \cfrac{-1}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-1} \implies 1}}[/tex]

so we're really looking for the equation of a line whose slope is 1 and it passes through (6 , -7)

[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{-7})\hspace{10em} \stackrel{slope}{m} ~=~ 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{ 1}(x-\stackrel{x_1}{6}) \implies y +7= 1 (x -6) \\\\\\ y+7=x-6\implies {\Large \begin{array}{llll} y=x-13 \end{array}}[/tex]

Someone please help me and show how you did it (you can use app that solves it I just need the answer and how it got the answer)

Answers

Answer:

Step-by-step explanation:

5. P-4=-4

P-4+4=-4+4=0

P=0

Mrs. Smith calls customer care after she receives her phone bill. Her bill is normally $40. 00 per

month, however, this month it is $110. 0. Mrs. Smith negotiates a 50% credit of the difference

between the normal charge of $40. 00 and the current balance of $110. 0. How much will Mrs.

Smith be responsible for paying?

Answers

Mrs. Smith will be responsible for paying $75.00

The normal monthly charge is $40.00 and the current balance is $110.00,

so the difference is $110.00 - $40.00 = $70.00.

Mrs. Smith negotiated a 50% credit, so she will receive

$70.00 x 0.50 = $35.00 credit.

To find the amount she is responsible for paying, we subtract the credit from the current balance

$110.00 - $35.00 = $75.00

Thus, the amount Mrs. Smith will be responsible for paying is $75.00

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bonjour svp aide moi

Exercice 7: mon et nop sont deux angles adjacents supplémentaires tel que mOn = 60°.

1°) Calculer nOp.​

Answers

Answer:

n0p = 120°

Step-by-step explanation:

m0n + n0p = 180°

60° + n0p = 180°

n0p = 120°

4 Amanda's bedroom is a rectangle 415 cm long by 295 cm wide.
a work out the area of Amanda's bedroom. Give your answer in square metres (m?).
Show how to use estimation to check your answer.
Carpet costs $24 per square metre.
It is sold in whole numbers of square metres.
b How much will it cost Amanda to buy carpet for her bedroom floor?
Show how to use inverse operations to check your answer.

Answers

Answer:

1) 12.2425 square meters

2)$288

Step-by-step explanation:

According to the problem, we have a rectangle bedroom with 415cm long by 295cm width.

We know that 1cm = 0.01 m

Length of bedroom: 415 x 0.01 = 4.15m

of bedroom: 295 x 0.01 = 2.95m

area of rectangle: Length x Width

Area: 4.15 x 2.95 = 12.2425 square meters

We have a cost of carpet 24 per square meter is given from the problem.

we now know that it is in a whole number so we divide by 2 to get it square

A= 12m (squared)

now we multiply 12 and 24

we get $288

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD

8^x/2 divided by 4^x/3 equals 2^-5/2

Answers

The solution to the exponential equation 8^(x/2)/4^(x/3) = 2^(-5/2) is given as follows:

x = -6/5.

How to solve the exponential equation?

The exponential equation for this problem is defined as follows:

[tex]\frac{8^{\frac{x}{2}}}{4^{\frac{x}{3}}} = 2^{-\frac{5}{2}}[/tex]

Both 8 and 4 are powers of 2, as follows:

8 = 2³.4 = 2².

Applying the power of power rule (multiplying the exponents), the expression on the left side can be rewritten as follows:

[tex]\frac{2^{\frac{3x}{2}}}{2^{\frac{2x}{3}}} = 2^{-\frac{5}{2}}[/tex]

When two terms with the same base and different exponents are divided, we keep the base and subtract the exponents, hence:

[tex]\frac{2^{\frac{3x}{2}}}{2^{\frac{2x}{3}}} = 2^{\frac{3x}{2} - \frac{2x}{3}}[/tex]

The subtraction is obtained as follows:

3x/2 - 2x/3 = 9x/6 - 4x/6 = 5x/6.

(as the least common factor of 2 and 3 is of 6).

Then the simplified expression is of:

[tex]2^{\frac{5x}{6}} = 2^{-\frac{5}{2}}[/tex]

As the exponential function y = 2^x is injective, the solution is obtained as follows:

5x/6 = -5/2.

10x = -12

x = -6/5.

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A rental car company charges $50 per day to rent a car and $0.15 for every mile driven. Mei Mei wants to rent a car, knowing that:

She plans to drive 100 miles.

She has at most $130 to spend.


Write and solve an inequality which can be used to determine xx, the number of days Mei Mei can afford to rent while staying within her budget.

Answers

Answer:

50x + 19.5 ≤ 130

Step-by-step explanation:

X is the number of days Mei Mei plans to rent the car

For driving 100 miles, Mei Mei will be charged $19.50. [130 times 0.15]

Mei Mei has a maximum budget of $130, so the inequality will have a less than or equal to sign

50x + 19.5 ≤ 130

Rich added 26.2 milliliters of water to a solution in science class. The directions said to add 22.6 milliliters of water. What was the percent error (to the nearest hundredth percent) in the amount of water Rich added

Answers

The percent error in the amount of water Rich added is 15.93%.

What is meant by percentage error?

When compared to the actual value, the percent error is the difference between the estimated and actual values.

The difference between the estimated value and the actual value in relation to the actual value is given as a percentage and is known as the percent error. In other words, the relative error times 100 equals the percent error.

Given that Rich added water to a solution in science class is 26.2 milliliters

Whereas the directions said to add water is 22.6 milliliters

The amount of water that is added more is 26.2 -22.6 = 3.6 milliliters

The percent error is = (3.6/22.6)*100%

The percent error is = 15.9292*100%

Therefore, the correct answer is option b) 15.93%.

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A number, X, rounded to 1 decimal place is 3,7
Write down the error interval for x,

Answers

Answer:

The error interval for x is:

                 [3.65,3.74]

Step-by-step explanation:

The number after rounding off is obtained as:

                         3.7

We know that any of the number below on rounding off the number to the first decimal place will result in 3.7:

  3.65     3.66    3.67    3.68    3.69    3.70    3.71   3.72    3.73    3.74

( Because if we have to round off a number present in decimals to n place then if  there is a  number greater than or equal to 5 at n+1 place then it will result to the one higher digit  at nth place on rounding off and won't change the digit if it less than 5 )

        Hence, the error interval is:

            [3.65,3.74]

Can you help me with this

Answers

Answer:

y = 3/2x - 3

Step-by-step explanation:

first find slope (m):

m = (-3/2 -(-15/2)) / (1 - (-3)) = (12/2) / 4 = 6/4 = 3/2

plug the point (1, -3/2) into the point-slope form (y-y1) = m(x-x1):

y - (-3/2) = 3/2(x-1)

y + 3/2 = 3/2x -3/2

now put it in slope-intercept form y = mx + b:

y = 3/2x -6/2

y = 3/2x - 3

Which of the following have one solution, solve for brainly :P

Answers

Answer:

C only

Step-by-step explanation:

C is the only one which is correct as in all the other options x is cancelled out as both sides have 2x which gets cancelled leaving the equation with something like:

31=31 which is true but it's not considered a "solution" and as A, B and D end up with stuff like this they are all not 1 solution. For c, as c doesn't have a power on top of it, like [tex]x^{2}[/tex] does, its equation can only have 1 solution (or in some cases 0 solutions but this isn't one of them) so it is the correct answer.

A. all real numbers

B. x = 0

C. all real numbers

D. no solutions

the explanation is in imagine

The ratio of the areas of two rectangles is 2 to 3. If the area of the larger rectangle is 600 square feet, what is the area of the smaller rectangle?

Answers

Answer:

400sq.ft

Step-by-step explanation:

Let Area of smaller rectangle be x

➝2:3=x:600

➝2/3=x/600

➝2×600=3x

➝3x=1200

➝x=1200/3

➝x=400sq.ft

14 A runner jogs 9 miles north and then 6 miles east. What is the shortest distance, to the nearest tenth of a mile, the runner must travel to return to their starting point?​

Answers

Use Pythagorean theorem
a^2 + b^2 = c^2
6^2 + 9^2 = c^2
36 + 81 = c^2
117 = c^2
c = 10.8 miles

Rafael and his sister bought snacks at a discount store for movie night. Rafael got 3 boxed candies and 1 bag of chips for $3. 82. His sister got 2 bags of chips and 1 boxed candy for $2. 69. Find the cents for each item find the cost of each item

Answers

The cost of each box of candy is 31 cents and the cost of each bag of chips is 69 cents.

To find the cost of each box of candy, we first need to find the total cost for all items. We know that Rafael and his sister spent a total of $3.82 + $2.69 = $6.51 on snacks. Since Rafael bought 3 boxes of candy and 1 bag of chips, and his sister bought 2 bags of chips and 1 box of candy, there were a total of 3 + 2 = 5 bags of chips and 3 + 1 = 4 boxes of candy bought.

To find the cost of each box of candy, we divide the total cost for all boxes of candy by the number of boxes of candy: $6.51 / 4 = $1.63 or 163 cents. To find the cost of each bag of chips, we divide the total cost for all bags of chips by the number of bags of chips: $6.51 / 5 = $1.30 or 130 cents.

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Find the sum of the following series:

Answers

Answer:

The sum is 2635

Step-by-step explanation:

I did this problem

pls help this is kinda hard and it’s due in 45 minutes

Answers

Answer:

16.8 inches

Step-by-step explanation:

Perimeter =2(length+width) so 2·(5.6+2.8)≈16.8

Answer and Step-by-step explanation:

First, write down what we know.

Length of Rectangle = [tex]5\frac{3}{5}[/tex]

Width = [tex]\frac{Length}{2}[/tex]

2 ways to solve this:

1st way:

If we convert the fraction into a decimal, then we can easily find the width.

[tex]5\frac{3}{5}[/tex] can be solved by making the mixed number into a improper fraction.

Multiply the denominator (5) by the whole number (5), then add the numerator (3). This number is 28. Replace the 3 with the 28, and now we have [tex]\frac{28}{5}[/tex]. This number is equal to 5.6.

Now, we have to divide this number.

5.6 divided by 2 is equal to 2.8.

So, the width is equal to 2.8.

Now, we add the width and length together twice to get the perimeter of the rectangle.

2.8 + 2.8 + 5.6 + 5.6 = 16.8

So, the answer is A. 16.8 inches.

2nd way:

Since we know that the width is half of the length, we can just add the length by itself 3 times, since two of the widths combined will equal the length.

5.6 + 5.6 + 5.6 = 16.8

So, the answer is A. 16.8 inches.

#TeamTrees #PAW (Plant And Water)


Find the 10th term of the geometric sequence 3, 15, 75, ...

Answers

Answer:

5,859,375

Step-by-step explanation:

a10 = 3×5^9 = 3×1,953,125

= 5,859,375

Answer:

5,859,375

Step-by-step explanation:

Given :-

A geometric sequence is given to us which is 3 , 15 , 75 .

And we need to find out the 10th term of the sequence. Here firstly we should find the Common Ratio and then we can substitute the respective values in the formula to find the nth term of a geometric sequence .

Common Ratio :-

[tex]:\implies[/tex] CR = 15 ÷ 3 = 5

The 10 th term :-

[tex]:\implies[/tex] T_n = arⁿ - ¹

[tex]:\implies[/tex] T_10 = 3 × 5 ¹ - ¹

[tex]:\implies[/tex] T_10 = 3 × 5

[tex]:\implies[/tex] T_10 = 3 × 1953125

[tex]:\implies[/tex] T_10 = 5859375

Hence the 10th term is 5,859,375

Hello what x of a triangle

Answers

Solving for X in a Right Triangle

Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X

Tell whether f(x)=−5x^2+10x+7 has a minimum value or a maximum value.

Answers

Answer:

has a maximum value

Step-by-step explanation:

.............

Answer:

maximum value

Step-by-step explanation:

What is the relationship between points and lines?

Answers

Answer:

Points identify starting and ending positions, and a line (in this case line segment) connects such points to show the distance between the two points.

Step-by-step explanation:

Start with a circle whose equation is (x-a)^2 + (y-b)^2=r. Dilate that circle by a scale factor of 1/r with center of dilation (a,b). What does this transformation demonstrate

Answers

The dilation of the circle with a scale factor 1/r and center at (a,b) will transform the circle into a point at (a,b).

A dilation is a transformation that results in an image with the same shape as the original but a different size. • An enlargement is a dilation that produces a larger image. • A reduction is a dilation that produces a smaller image.

To solve this we will use the transformation formula for a dilation with center (a,b) and scale factor

k, (x,y) --> (a + k(x-a), b + k(y-b)).

Substituting in our values, we get

(x,y) --> (a + (1/r)(x-a), b + (1/r)(y-b)).

Setting this equal to (a,b), we get

(a + (1/r)(x-a) = a, b + (1/r)(y-b) = b).

Solving for x and y gives x = a and y = b. Therefore, the dilation of the circle with a scale factor of 1/r and center at (a,b) will transform the circle into a point at (a,b).

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