A rectangular garden has a length of x + 2 ft. and a width of x + 8 ft. What must x be in order for the garden to have an area of 91 sq. ft.?

Answers

Answer 1

Answer:

x=5

Step-by-step explanation:

5+2=7

5+8=13

13*7=91

Answer 2

Answer: 5 ft

Step-by-step explanation:

Our equation can be (x + 8)(x + 2) = 91. Now we solve:

(x + 8)(x + 2) = 91

x^2 + 2x + 8x + 16 = 91    expand

x^2 + 10x + 16 = 91           simplify

x^2 + 10x - 75 = 0            subtract 91 from both sides

(x + 15)(x - 5) = 0               factor

x + 15 = 0              x - 5 = 0

x [tex]\neq \\[/tex] -15                    x = 5

x can't equal -15 because you cannot have negative feet, so x = 5 feet


Related Questions

If the bill is $47.96 and you leave a 15% tip, what is the tip amount?​

Answers

Answer:

7.19 is the tip

Step-by-step explanation:

Take the amount of the bill and multiply by the tip percentage

47.96 * 15%

Change to decimal form

47.96 * .15

7.194

Round to 2 decimal places

7.19

Answer: $7.19

Step-by-step explanation:

15/100 = 0.15

We only want the tip, not the total cost:

Do 0.15 * $47.96 to get about $7.19

A meteorologist forecasts the temperature is going to change -1 1/2 degrees per hour from 11:00 P.M. to 7:00 A.M. what is the total expected temperature change over the time period?

Answers

Answer: -12 degrees

Step-by-step explanation:

11:00 p.m. to 7:00 a.m. is 8 hours

-1 1/2 * 8 = -12

Fully explain the solution set to the equation below.
1x = -1

Answers

Answer:

The answer for x should equal: -1.

Step-by-step explanation:

To find x, we would divide, our final value, by 1 to get x. In other words, you would divide: -1 ÷ 1 to get -1 as our unknown number.

Fill in the blanks. If the triangles cannot be shown to be congruent from the information given, leave the triangle's name blank and write CanNot Be Determined (CNBD) in the spot for rule.



GA ∩ TN = I

∆GIT ≅ ∆________

By rule _________

Answers

Answer:

GIT is congruent to AIN

By rule SAS

Step-by-step explanation:

welp hope this helps

Please help. 10 points and brainliest.

Answers

Answer:

D

Step-by-step explanation:

sqrt(20*x^6*y^5)

sqrt(5*2*2*x^3*x^3*y^2*y^2*y^1)

2x^3*y^2*sqrt(5y)

this is D

HELP FOR BRAINLIEST ANSWER Ben bowled 126 and 220 in his first two games. What must he bowl in his third game to have an average of at least 190​?

Answers

Answer:

224

Step-by-step explanation:

I used an average calculator and tried every possibility, adding 224 in results in an anverage of exactly 190.

Answer:

224

Step-by-step explanation:

190x3=570

570-126-220=224

So ben must bowl a 224

solve this system of linear equations, separate the x- and y-values with a comma. -4x=-60-19y -7x=-48-19y

Answers

Answer:

The solution is at (-4,-4).

Step-by-step explanation:

(-4x=-60-19y)-1          Multiply by -1

4x = 60 + 19y

-7x = -48 - 19y         Add both equations together

-3x = 12                   Divide both sides by -3

x = -4

Plug this into the first equation to find the value of y

-4(-4) = -60 - 19y        Multiply

16 = -60 - 19y

+60  +60                    Add 60 to both sides

76 = -19y                    Divide both sides by -19

y = -4

what is the difference for -22 - (-26)​

Answers

______________________________

Hey!!!

-22-(-26)

= -22+26

= 4

So the answer is 4.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

____________________________

-22 - (-26)​ = -22+26=4

So the answer is 4

If this helped mark me as brainliest plss

Hope this helps! Good luck!!

someone plsss help me

Answers

Answer:

Step-by-step explanation:

Let

( x1 , y1 ) =( 14 , 22)

( x2 , y2) = ( - 5 , 22)

Now the slope of line is given by

Slope(m)

= ( y2 - y1) / ( x2 - x1)

= ( 22 - 22) / ( -5 - 14 )

= 0/-19

= 0

Hope this helps :)

A sector has a central angle of 110° and an area of 11pi m squared. What is the arc length for this sector?

Answers

Answer:

(11/3)*pi

Step-by-step explanation:

what circle is how bigger?

360/110=36/11

11pi*(36/11)

36pi

radius is 6 (A=r^2*pi)(36 is 6^2)

circumference of a circle is 2pi*r

2pi*6

12pi

what fraction of the circumference is 110?

110/360=11/36

9132/36)*pi

(11/3)*pi

A basketball player averaged 12.4 points per game in a season. If he maintained this average over five games, how many points did he score in those five games?

Answers

Answer:

the 5th number = 62-44 = 18

Step-by-step explanation:


If DEER becomes 45518, what does 25118 become?

Answers

Answer:

deer

Step-by-step explanation:

it is purul of deer

Answer: BEAAH

Step-by-step explanation:

Newton currently has an account balance of $6,225.18. He opened the account 15 years ago
with a deposit of $4,543.11. If the interest compounds daily, what is the interest rate on the
account?
30.3%
7.7%
58.3%
2.1%

Answers

Answer: 2.1%

Step-by-step explanation:

r = n [(A/P)^1/nt - 1

WILL GIVE BRAINLIEST AND 30 POINTS! Peter calculated |5 + 13i| by finding Where was Petey’s mistake? He should not have used the Pythagorean theorem. He should have used 13 instead of 13i. (13i)2 = 169, not –169.

Answers

Answer: He should have used 13 instead of 13i

Step-by-step explanation:

Answer:

He should have used 13 instead of 13i

Step-by-step explanation:

help plz I'm desperate ​

Answers

Anna:

1st month = 18 + [tex]\frac{3}{4}[/tex] = 18[tex]\frac{3}{4}[/tex] inches

2nd month = 18[tex]\frac{3}{4}[/tex] + [tex]\frac{3}{4}[/tex] = 19[tex]\frac{1}{2}[/tex]

3rd month = 19[tex]\frac{1}{2}[/tex] + [tex]\frac{3}{4}[/tex] = 20[tex]\frac{1}{4}[/tex]

4th month = 20[tex]\frac{1}{4}[/tex] + [tex]\frac{3}{4}[/tex] = 21

5th month = 21 + [tex]\frac{3}{4}[/tex] = 21[tex]\frac{3}{4}[/tex]

Grace:

Because Anna is [tex]\frac{9}{4}[/tex] inches shorter than Grace, we can start the count from the third month:

1st month = 20[tex]\frac{1}{4}[/tex]

2nd month = 21

3rd month = 21[tex]\frac{3}{4}[/tex]

4th month = 21[tex]\frac{3}{4}[/tex] + [tex]\frac{3}{4}[/tex] = 22[tex]\frac{1}{2}[/tex]

5th month = 22[tex]\frac{1}{2}[/tex] + [tex]\frac{3}{4}[/tex] = 23

Which expressions are equivalent to x + 2y + x + 2x+2y+x+2x, plus, 2, y, plus, x, plus, 2 ? Choose all answers that apply: Choose all answers that apply: (Choice A) A 2(x+y+1)2(x+y+1)2, left parenthesis, x, plus, y, plus, 1, right parenthesis (Choice B) B 2x + 4y +42x+4y+42, x, plus, 4, y, plus, 4 (Choice C) C None of the above

Answers

Answer:

A. 2(x+y+1)

Step-by-step explanation:

The expression is

x+2y+x+2

Collect like terms

x+x+2y+2

Add like terms

2x+2y+2

Factorise the expression

2(x+y+1)

Answer:

(A) -     2(x+y+1)

Step-by-step explanation:

you're welcome

(this will be right if ur on kahn:)

A.3/4
B.4/3
C.-4/3
D.-3/4
I need help so bad pls

Answers

I’m pretty sure that it is b
The answer is B or C and if it’s not then my bad

Use the Zero Product Property to solve each equation.

2x2 - 5x + 2 = 0

Answers

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

[tex]4x-5x+2=0[/tex]

Compare the values 0.25 and 2/9 using < >, or = MAKE SURE TO SHOW WORK!!

Answers

Answer:

0.25 > 2/9

Step-by-step explanation:

When you change 2/9 into a decimal, you get 0.22222222...

Therefor, 0.25 is greater than 2/9

Need quick help on this

Answers

Answer:

C.

Step-by-step explanation:

I cant really explain it but i had the same question and had the answer worked out on the paper

Hope it helps :3 (tell me if it was right or wrong so i know if i need to fix something later)

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?
hif
bih
bllg
GIlh

Answers

hif, i doesn’t exist in the problem

(8^3 + 2^2 + 1) - (7 - 7^3+3^2)

Answers

Answer:

844 is the ans

Step-by-step explanation:

512+4+1 -7 +343+9= 844

Answer: 844

Step-by-step explanation:

Consider the function represented by the graph.

What is the domain of this function?

(A).{x|x>_0}
(B).{x|x<_8}
(C).{x|0<_x<_8}
(D).{x|x<_0x>_8}

Answers

Answer: C

Step-by-step explanation:

can someone please help me with this question ?

Answers

Answer:

Yes, because it passes the vertical line test

Step-by-step explanation:

A function has one output for each input.  This is called a one to one correspondent.  This is shown by the vertical line test

This graph passes the vertical line test and is therefore a function

Answer:

D

Step-by-step explanation:

The vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x.

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

Example: The first table is a function because each input value has only 1 output value, but the second table has more that one output value per input.  (View Attached Picture Below)

The input value 4 in Table A has only 1 output value, 20. But in Table B, the input value for 4 has 2 output values, 16 and 17. So Table A is a function, while Table B is not.

find the distance between 6,-2 and 1,-2​

Answers

The distance between (6,-2) and (1,-2) is 5.

Answer:

The distance:

[tex]d = 5[/tex]

Step-by-step explanation:

To find the distance between points [tex](6,-2)[/tex] and [tex](1,-2)[/tex], you need the distance formula:

[tex]d = \sqrt{(x_{2} - x_{2})^{2} + (y_{2} - y_{1})^{2}}[/tex]

-Use the given points [tex](6,-2)[/tex] and [tex](1.-2)[/tex] for the distance formula:

[tex]d = \sqrt{(1 - 6)^{2} + (-2 + 2)^{2}}[/tex]

-Then, solve the formula:

[tex]d = \sqrt{(1 - 6)^{2} + (-2 + 2)^{2}}[/tex]

[tex]d = \sqrt{(-5)^{2} + (0)^{2}}[/tex]

[tex]d = \sqrt{25 + 0^{2}}[/tex]

[tex]d = \sqrt{25 + 0}[/tex]

[tex]d = \sqrt{25}[/tex]

[tex]d = 5[/tex]

So, the distance is [tex]5[/tex].

Santana went for a hike on the 21 mile South Boundary Trail. If she can hike2 miles
in 60 minutes, how long will it take her to hike the entire trail?
Draw a diagram to support your thinking and demonstrate your understanding. Be sure
to show all of your work.

Answers

Answer:

It will take santana 630 minutes or 10.5 hours to complete the 21 miles.

Step-by-step explanation:

[tex]\frac{2}{60\\}[/tex] [tex]\frac{21}{y}[/tex]  y is what you are trying to find multiple her miles by the number of minutes and then divided by how many miles in  60 min.

A test is normally distributed with a mean of 70 and a standard deviation of 10. Todd scores a 55 on the test. Select the answer from the drop-down menu to correctly complete the statement. Based on the mean of 70 and his raw score of 55, Todd’s z-score must be

Answers

Answer:

Todd's Z-score is - 0.27    

Step-by-step explanation:

Explanation:-

Step(i):-

Given data A test is normally distributed with a mean of 70 and a standard deviation of 10.

Mean of the population 'μ' = 70

Standard deviation of the Population ' σ ' = 10

let 'x' be the random variable in normally distributed

Step(ii):-

Given raw score  'x' = 55

Todd's Z-score

                      [tex]Z = \frac{x-mean}{S.D}[/tex]

                     [tex]Z = \frac{55-70}{55}[/tex]

                     Z = -0.27

Final answer:-

Todd's Z-score is - 0.27                    

21
*Note: Picture not drawn to
If w = 4 in, I = 6 in, sı = 16.49 in, and s2 = 17.09 in, what is the surface area
A. 430.6 in2
B.
334.6 in 2
C.
491.76 in 2
• D.
369.44 in 2
Poset
Subm

Answers

Answer: gradpoint “b”

Step-by-step explanation:

The volume of a cylinder is 441 cubic centimeters and its radius is 7 centimeters.
What is the height of the cylinder?
Enter your answer in the box.

Answers

Answer:

689 ft

Step-by-step explanation:

Answer:

2.86

Step-by-step explanation:

h=V

πr2=441

π·72≈2.86479

Find the value of y
mZ1 = 2y + 8​

Answers

Answer:

y=4

Step-by-step explanation:

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