The dimensions of a rectangle can be expressed as x−1 and x+5. If the area of the rectangle is 91 square inches, what are the dimensions of the rectangle? Make sure to enter BOTH dimensions.

Answers

Answer 1

Answer:

13 x 7

Step-by-step explanation:

area = L x W

91 = (x - 1)(x + 5)

x² + 5x - x - 5 = 91

combine like terms:

x² + 4x - 5 = 91

subtract 91 to each side of the equation:

x² + 4x - 96 = 0

factor:

(x + 12)(x - 8)

x = 8

x - 1 = 7

x + 5 = 13


Related Questions

find the solution of given expression !!

[tex] \sqrt{36 \times 4} [/tex]

Answers

[tex]\huge{ \mathfrak{  \underline{ Answer }\:  \:  ✓ }}[/tex]

Let's Solve :

[tex] \sqrt{36 \times 4} [/tex]

[tex] \sqrt{2 \times 2 \times 3 \times 3 \times 2 \times 2} [/tex]

[tex]2 \times 3 \times 2[/tex]

[tex]12[/tex]

Therefore, the correct answer is 12

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

please help!! i really need to answer this so i pass!

Answers

Answer:

450 LITERS

(Answer may not be correct, to solve for the right answer see below)

Step-by-step explanation:

(Convert 450 LITERS to meters to find the answer the question is asking)

1.2 m x 0.5 m x 3/4 m =

1. Convert the 3/4 meters into a decimal, you can use an online calculator for that part

2. 3/4 = ______

______ m x 1.2 m x 0.5 m = (ANSWER)

Evaluate the expression (35+ 7) {6 – 5).

Answers

Answer:

The answer is 41

Step-by-step explanation:

(35 + 7) (6 - 5)

(42) × (1) = 41

Thus, The answer is 41

-TheUnknownScientist

What is the term of the highest degree in the expression 3x2y-5xy7+8x4y5-6xy

Answers

Answer:

seems hard

Step-by-step explanation:

YEEEEET IT AWAY

I need & answer ASAP due in 10 minutes :,)
Pls and thank you but make sure to include a explanation & No Links pls & thxs again

Answers

Answer:

84 m³

Step-by-step explanation:

Area of base: 1/2 × 6 × 4= 1/2 ×24 = 12

Volume: area of base × height = 12 × 7= 84 m³

a rectangle has a lenght of 8cm. its area is 72 cm squared. calculate the perimeter of the rectangle​

Answers

answer is 576 is your answer

help pls i need help on this last math area equation. and explain also.

Answers

Answer:

c

Step-by-step explanation:c

The answer is C)48 square cm , because to find the area of 1 rectangle you have to first multiply 5x2=10 which there are 4 rectangles so you multiply 10 by 4 which gives you 40, next you look at the small squares the lines show that the each side equivalent so to find the area you do 2x2 which gives you 4 and if you have 2 squares it will give you 8 then you add that to the 40 from the rectangles which gives you 48. I hope this helped :))

Find the missing side. Round to
the nearest tenth.
10
33°
Х
X = ?

Answers

Given:

A right angle triangle with legs x and 10.

The angle opposite to the side with measure 10 is 33 degrees.

To find:

The value of x.

Solution:

We know that, in a right angle triangle,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

In the given triangle,

[tex]\tan 33^\circ=\dfrac{10}{x}[/tex]

[tex]x=\dfrac{10}{\tan 33^\circ}[/tex]

[tex]x=15.39864[/tex]

[tex]x\approx 15.4[/tex]

Therefore, the value of x is 15.4 units.

The radius of a circle is 12 centimeters. Calculate the area of the circle?​

Answers

Answer:

A≈452.39cm²

Step-by-step explanation:

Solution

A=πr2=π·122≈452.38934cm²

Answer:

452.389

Step-by-step explanation:

hope this help

what are the outliers for 0,5,6,7,8,13

Answers

Given:

The date set is:

0,5,6,7,8,13

To find:

The outliers for the given data set.

Solution:

We have,

0,5,6,7,8,13

Divide the data in two equal parts.

(0,5,6),(7,8,13)

Divide each parenthesis in two equal parts.

(0),5,(6),(7),8,(13)

Here, first quartile is [tex]Q_1=5[/tex] and the third quartile is [tex]Q_3=8[/tex].

The interquartile range (IQR) is:

[tex]IQR=Q_3-Q_1[/tex]

[tex]IQR=8-5[/tex]

[tex]IQR=3[/tex]

The data lie outside the range [tex][Q_1-1.5IQR,Q_3+1.5IQR][/tex] is called outliers.

[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[5-1.5(3),8+1.5(3)][/tex]

[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[5-4.5,8+4.5][/tex]

[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[0.5,12.5][/tex]

The data values 0 and 13 lie outside the range [0.5,12.5].

Therefore, 0 and 13 are outliers of the given data set.

Tenzing sold two watches at rs1200 andrs1350 respectively if he gained 20 percent on the first and 2percent on the whole what percent did he loss in second watch

Answers

9514 1404 393

Answer:

  10% loss

Step-by-step explanation:

If Tenzing sold the first watch at 20% profit, his cost c can be found from ...

  1200 = 1.20c

  1000 = c

If Tenzing sold both watches together for 1200 +1350 = 2550, then his total cost can be found from ...

  2550 = 1.02t

  t = 2550/1.02 = 2500

Then his cost for the second watch was ...

  2500 -1000 = 1500

The sale price of 1350 for that watch represents a multiplier m on the watch cost of ...

  1500m = 1350

  m = 1350/1500 = 0.90 = 1 - 0.10

Tenzing lost 10% of its cost on the second watch.

Need help ASAP! Will give brainliest;) No links please, will report.

The area of a triangle is 55x^3+15x^2-25. The length of the triangle is 5x. What is the width?

Answers

Answer:

The area of a triangle =55x^3+15x^2-25

1/2×length×width=55x^3+15x^2-25

5x/2×width=55x^3+15x^2-25

width=[55x^3+15x^2-25]×2/5x

width=22x²+6x-10/x is your answer

2. Desarrolla el cuadrado de los siguientes binomios. a) (2 + 5√) 2 = b) (√3 − √5) 2 = c) (√ + 3 − √ − 3) 2 =

Answers

Answer:

Cuando tenemos un binomio como:

(a + b)^2

El desarrollo es:

a^2 + 2*a*b + b^2

Si en cambio, el binomio es de la forma:

(a - b)^2

El desarrollo es:

a^2 - 2*a*b + b^2

Ahora simplemente usemos esas formulas en cada caso:

a) (2 + 5√)^2

(hay una raiz cuadrada ahi que no aplica a nada, asi que supongo que es un error de tipeo)

entonces tenemos que expandir:

(2 + 5)^2 = 2^2 + 2*(2)*(5) + 5^2 = 4 + 20 + 25 = 49

b) (√3 − √5)^2  

= (√3)^2 - 2*(√3)*(√5) + (√5)^2

= 3 - 2*√(3*5) + 5

= 3 - 2*√15 + 5

= 8 - 2*√15

c) (√( + 3) − √( − 3))^2

Acá hago el reemplazo:

√(-3) = i*√3

Recordar que i^2 = -1

Entonces tendremos:

(√( + 3) − √( − 3))^2 =  (√(  3) − i√( 3))^2

= (√3)^2 - 2*i* (√3)(√3) + (i* (√3))^2

=   3 - 2*3*i  + (i^2*3)

= 3 - 6*i - 3

= - 6i

radio station KLUV broadcasts in all directions to a distance of 50 mi. How many square miles are in the stations broadcast area?

Answers

Answer:

7850 mi

Step-by-step explanation:

Area of a circle is:

A = (pi)r²

A = (3.14) (50²)

A = (3.14) (2500)

A = 7850 square miles

GIVING BRAINLIEST!!!!

Select the properties that both rectangles and parallelograms always share (u can select more than one answer)

A) four sides of equal length

B) 4 right angles

C) 2 pairs of parallel sides

D) 2 pairs of sides with equal length

E) 2 acute angles and 2 obtuse angles

Answers

C and D.

Parallelograms don’t need to have right angles
Rectangles don’t always have equal sides
Rectangles have all 90 degree angles

Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror
sells for $5.00 per square foot, what will the total cost of the mirror be?

Answers

Question :-

Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror sells for $5.00 per square foot, what will the total cost of the mirror be?

____________________

Solution :-

Given Information :-

Length of the mirror Austen needs to buy ➢ 3 ftWidth of the mirror Austen needs to buy ➢ 2 ftCost of mirror per square foot ➢ $5.00

To Find :-

Total cost of the mirror Austen needs to buy.

Formula Used :-

Area of Mirror = Length × Width Total cost of mirror = Area of mirror × Cost of mirror per square foot

Calculation :-

Area of mirror :-

Substituting the values given in the 1st formula, We get,

⇒ Area of mirror = ( 3 × 2 ) ft²

Area of mirror = 6 ft²

Now finding the total cost of mirror,

Substituting the values calculated above in the 2nd formula, We get

⇒ Total Cost of mirror = $ ( 6 × 5.00 )

Total Cost of mirror = $30

___________________

Final Answer :-

Total cost of the mirror Austen needs to buy will be $30

____________________

What’s the answer
Need help don’t get it give u 100 bucks

Answers

Answer:

complementary

Step-by-step explanation:

because if r=s and the angles dont have a 90 degree angle it would be complement  

pls someone help me find the answers

Answers

Answer:

x = 145°

Step-by-step explanation:

We know that y = 98°, so we can find ∠DBC:

180°-y = ∠DBC

180°-98° = 82°

We also know that z = 63°, therefore we can apply exterior angle of triangles to find x.

∠DBC + z = x

82°+63° = x

x = 145°

please help me
i wanna sleep :(​

Answers

Answer:

what langue is that

Step-by-step explanation:

(HELP ASAP)In the figure, if OQ is the angle bisector of ∠POR, find m∠POQ.

Answers

Answer:

61°

Step-by-step explanation:

[tex]9x+7=13x-17[/tex], QO Bisector

[tex]x=6\\[/tex], Algebra

[tex]m<POQ = 60[/tex], Algebra/Sub


[tex] \frac{1}{x^{2} - 1 } - \frac{1}{x - 1} [/tex]

Answers

Answer:

-x/x^2-1

Step-by-step explanation:

-x^2+x/x^3-x^2-x+1

x(-x+1)/(x+1)(x-1)(x-1)

-x/x^2-1

Can you help me solve this question

Answers

C is the answer I think

Describe the transformation from the graph of f(x) =ax^2 to the graph of g(x) = a(x-h)^2+k

Answers

Answer: Step-by-step explanation:

f(x)=ax^2→g(x)=a(x-h)^2+k

The horizontal shift depends on the value of h. The horizontal shift is described as:  

g(x)=f(x+h) - The graph is shifted to the left h units.

g(x)=f(x−h) - The graph is shifted to the right h units.

Hence, in the question above, Horizontal Shift: Right h Units

The vertical shift depends on the value of k. The vertical shift is described as:

g(x)=f(x)+k - The graph is shifted up k units.

g(x)=f(x)−k - The graph is shifted down k units.

Therefore, in the question above, Vertical Shift: Up k Units

 

The description of the transformation from the graph with respect to the given graph should be explained below.

Description of the transformation:

Since

[tex]f(x)=ax^2[/tex]

And, [tex]g(x)=a(x-h)^2+k[/tex]

Now here horizontal shift based on the value of h. The horizontal shift should be like

g(x)=f(x+h) - The graph should be shifted to the left h units.

And,

g(x)=f(x−h) - The graph should be shifted to the right h units.

Learn more about graph here: https://brainly.com/question/2111181

someone, please help me with this, if you can explain it fully that'll be great. I have been sick and missed all the classes and idek the name of this topic
send help
thank you in advance

Answers

Step-by-step explanation:

i don't know how to do 1b and 2a hope these two helps :))

The mean of six numbers is 10. When
mother number is added the new mean is
9. Find the number added.​

Answers

Answer:

3

Step-by-step explanation:

If 6 numbers have a mean value of 10, it means that the sum of the numbers divided 6 is equal to 10. This can be expressed as:

x÷6=10

x=60

The new number added will be the 7th number and now the mean is 9. You have to ask what number divided by 7 is equal to 9? This can be expressed as:

y÷7=9

y=63

63-60=3

So the new number added is 3

Answer:

3

Step-by-step explanation:

Mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

Given the mean of 6 numbers is 10, then

[tex]\frac{sum}{6}[/tex] = 10 ( multiply both sides by 6 )

sum = 60

When another number x is added then count is 7

[tex]\frac{60+x}{7}[/tex] = 9 ( multiply both sides by 7 )

60 + x = 63 ( subtract 60 from both sides )

x = 3 ← the number added

Ms. Salgado needs to have her car repaired but does not want to spend more than $375 for the repairs. The mechanic says that the part needed for the repair will cost $100 and the labor will cost an additional $40 per hour. Which inequality below represents the greatest number of hours the mechanic can work without exceeding Ms. Salgado's budget?

Answers

Answer:

The mechanic will need to finish in 4 hours.

Step-by-step explanation:

100+40=140

40+40=80

40+40=80

40

140 +80 + 80+ 40= 340

There are seven quarters in the bottom of a tote bag. Three of those quarters were minted in 2019, two were minted in 2001, and two were minted in 2008. What is the probability of selecting two quarters that were both minted in years other than 2019 if the first was not replaced before the second was selected?

Answers

Answer:

[tex]P(Not\ 2019) = \frac{2}{7}[/tex]

Step-by-step explanation:

Given

[tex]n(2019)= 3[/tex]

[tex]n(2001)= 2\\[/tex]

[tex]n(2008)= 2[/tex]

[tex]n = 7[/tex] --- total

Required

[tex]P(Not\ 2019)[/tex]

When two quarters not minted in 2019 are selected, the sample space is:

[tex]S = \{(2001,2001),(2001,2008),(2008,2001),(2008,2008)\}[/tex]

So, the probability is:

[tex]P(Not\ 2019) = P(2001,2001)\ or\ P(2001,2008)\ or\ P(2008,2001)\ or\ P(2008,2008)[/tex]

[tex]P(Not\ 2019) = P(2001,2001) + P(2001,2008) + P(2008,2001) + P(2008,2008)[/tex]

[tex]P(2001,2001) = P(2001) * P(2001)[/tex]

Since it is a selection without replacement, we have:

[tex]P(2001,2001) = \frac{n(2001)}{n} * \frac{n(2001)-1}{n - 1}[/tex]

[tex]P(2001,2001) = \frac{2}{7} * \frac{2-1}{7 - 1}[/tex]

[tex]P(2001,2001) = \frac{2}{7} * \frac{1}{6}[/tex]

[tex]P(2001,2001) = \frac{1}{7} * \frac{1}{3}[/tex]

[tex]P(2001,2001) = \frac{1}{21}[/tex]

[tex]P(2001,2008) = P(2001) * P(2008)[/tex]

Since it is a selection without replacement, we have:

[tex]P(2001,2008) = \frac{n(2001)}{n} * \frac{n(2008)}{n - 1}[/tex]

[tex]P(2001,2008) = \frac{2}{7} * \frac{2}{7 - 1}[/tex]

[tex]P(2001,2008) = \frac{2}{7} * \frac{2}{6}[/tex]

[tex]P(2001,2008) = \frac{2}{7} * \frac{1}{3}[/tex]

[tex]P(2001,2008) = \frac{2}{21}[/tex]

[tex]P(2008,2001) = P(2008) * P(2001)[/tex]

Since it is a selection without replacement, we have:

[tex]P(2008,2001) = \frac{n(2008)}{n} * \frac{n(2001)}{n - 1}[/tex]

[tex]P(2008,2001) = \frac{2}{7} * \frac{2}{7 - 1}[/tex]

[tex]P(2008,2001) = \frac{2}{7} * \frac{2}{6}[/tex]

[tex]P(2008,2001) = \frac{2}{7} * \frac{1}{3}[/tex]

[tex]P(2008,2001) = \frac{2}{21}[/tex]

[tex]P(2008,2008) = P(2008) * P(2008)[/tex]

Since it is a selection without replacement, we have:

[tex]P(2008,2008) = \frac{n(2008)}{n} * \frac{n(2008)-1}{n - 1}[/tex]

[tex]P(2008,2008) = \frac{2}{7} * \frac{2-1}{7 - 1}[/tex]

[tex]P(2008,2008) = \frac{2}{7} * \frac{1}{6}[/tex]

[tex]P(2008,2008) = \frac{1}{7} * \frac{1}{3}[/tex]

[tex]P(2008,2008) = \frac{1}{21}[/tex]

So:

[tex]P(Not\ 2019) = P(2001,2001) + P(2001,2008) + P(2008,2001) + P(2008,2008)[/tex]

[tex]P(Not\ 2019) = \frac{1}{21} + \frac{2}{21} +\frac{2}{21} +\frac{1}{21}[/tex]

Take LCM

[tex]P(Not\ 2019) = \frac{1+2+2+1}{21}[/tex]

[tex]P(Not\ 2019) = \frac{6}{21}[/tex]

Simplify

[tex]P(Not\ 2019) = \frac{2}{7}[/tex]

What is the value of h?

Answers

Answer:

6.

Step-by-step explanation:

626×10−34

Answer:

h= 5.7

Step-by-step explanation:

trust me pls ill show work if u need me to

What is the angle relationship between c and d?
Also what is the relationship between c and f?
(could be Vertical, alternate exterior, alternate interior, corresponding, same-side interior, same-side exterior, or linear pair.)

Answers

Answer:

1. linear pair (c and d)

2. alternate interior angles (c and f)

Step-by-step explanation:

Here, we want to get the relationship between angles

From what we have , we can see that angle d and angle c lie on a straight line

Thus, we have that angle c and angle d are supplementary angles since they will add up to give 180 degrees . So we can call the two a linear pair

For c and f, we can notice a z-like angle between the two

In this case, when we have a z-like angle, the relationship that exists between the two angles is that they are alternate interior angles

Find the area of a square

Answers

Answer:

Step-by-step explanation:

area =l^2

=7^2

=49 km^2

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