A rectangular garden is to cover 416 square feet of area. If the width is 10

feet less than the length, find the dimensions of the garden.

Answers

Answer 1

Answer:

Length = 26 feet, Width = 16 feet

Step-by-step explanation:

Let the length be l.

Width b = l-10

The area of a rectangular garden, A = 416 feet²

We need to find the dimensions of the garden. The area of a rectangular shaped object is given by :

[tex]A=lb\\\\l(l-10)=416\\\\l^2-10l-416=0\\\\l=26\ ft,-16\ ft[/tex]

Neglecting the negative value, the length of the garden is 26 feet and the width is 12-10 = 16 feet.


Related Questions

What is 9867 rounded to the nearest 1000

Answers

Answer:

10,000

Hope it helps

Have a good day

10,000



Hole this helps

A recipe for 24 cookies calls for 6 tablespoons of sugar. If you make 36 cookies and use 10 tablespoons, will the cookies taste the same? Explain and show your work for evidence.

Answers

Answer:

yes it will you are you're fine only multiplying how much is going into the cookie and not what you're putting into the cookie like you're not putting a different flavor into the cookie

Select the two values of x that are roots of this equation 3x^2 + 1 =5x ??
PLZZ HELP

Answers

Answer:

x = .23

x = 1.43

Step-by-step explanation:

1. The root of a polynomial is when the y-value equals 0. So set the equation euqal to 0:

[tex]3x^{2} -5x+1=0[/tex]

2. Solve with the quadratic formula and you get:

[tex]\frac{5+\sqrt{13} }{6}[/tex] and [tex]\frac{5-\sqrt{13} }{6}[/tex] which is x = .23 and x = 1.43.

 

Answer:

here is my answer

Step-by-step explanation:

Which best describes the relationship between the two triangles below?
M
51°
N
F
51
H Н
36
369
G
O AMLN-AFGH because of the third angle theorem. ZM ZF ZL ZG, and ZNE ZH.
AMIN may or may not be similar to AFGH because the third angle is unknown.

Answers

Answer:

It’s the bottom answer.

Step-by-step explanation:

hope I helped

The corresponding angles of the triangles are equal. Then the triangles ΔFGH and ΔMLN are similar triangles.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

In triangle ΔLMN, the measure of the third angle is calculated as,

∠N + ∠M + ∠L = 180°

∠N + 51° + 36° = 180°

∠N = 93°

In triangle ΔFGH, the measure of the third angle is calculated as,

∠H + ∠F + ∠G = 180°

∠H + 51° + 36° = 180°

∠H = 93°

In triangles ΔFGH and ΔMLN, the corresponding angles are equal. Then the triangles ΔFGH and ΔMLN are similar triangles.

More about the triangle link is given below.

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The graph of y = f(x) is shown below. Find all values of x where f(x) = 0

Answers

the graph crosses the x-axis at 2 and 8.
f(2) = 0
f(8) = 0

Graphs are used to show the relationship between two variables (usually x and y). The values of x when [tex]f(x) = 0[/tex] are 2 and 8

The graph of y = f(x) is given

To get the values of x when [tex]f(x) = 0[/tex], we simply consider where the line of the graph crosses the x-axis.

The graph crosses the x-axis at:

[tex]x = 2[/tex]

[tex]x = 8[/tex]

This means that the values of x when [tex]f(x) = 0[/tex] are 2 and 8

Read more about graphs at:

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Which of the following is a solution of x2 + 4x + 6? (1 point)

Answers

Answer:

I LOVE ALGEBRA anyways

othe ans is in the picture and the steps how  got the ans

(hope it helps can i plz have brainlist it will make my day :D hehe)

Step-by-step explanation:

help pls I will give brainliest to whoever answers best​

Answers

Step-by-step explanation:

its 60

In one hour a machine can make
500 nuts
or
840 bolts.
At 2 pm the machine starts working.
It makes 750 nuts and then changes to making bolts.
How many bolts will the machine make by 8.00 pm?

Answers

Answer:

3780 bolts will be made by 8pm

Step-by-step explanation:

One Hour : 500 nuts or 840 bolts

Divide by 2

30 minutes : 250 nuts or 420 bolts

750 nuts : 500 + 250 = 750

so the machine took 1 hour and 30minutes

14:00 it started (2pm)

15:30 it switched to bolts

20:00 (8pm)

4 hours and 30minutes to get to 8pm

840 × 4 = 3360 bolts + 420 bolts = 3780 bolts was made

PLEASE HELP ME
Emma invested $19,000 in an account paying an interest rate of 4.2% compounded
continuously. Assuming no deposits or withdrawals are made, how long would it
take, to the nearest year, for the value of the account to reach $40,000?

Answers

Answer: 18

Step-by-step explanation:

Mixture Problem
1. How much water should be added to 8 mL of 6% saline solution to reduce the concentration to 4%?

Answers

Answer:

Amount of active ingredient is 0.04(8+x)= 0.32+0.4x

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

EQUATION:

active ingre. + active ingre. = active ingre

0.48 + 0 = 0.32 + 0.04x

0.16 = 0.04x

x=4ML (amount of water that must be added)

The amount of water that must be added is 4 ml to 8 mL of 6% saline solution to reduce the concentration to 4%.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

8 mL of 6% saline solution to reduce the concentration to 4%.

Let x be the amount that should be added to 8 mL of 6% saline solution to reduce the concentration to 4%.

The amount of active ingredients is

0.04(8 + x) = 0.32 + 0.4x

Active ingredients + active ingredients  = active ingredients

0.48 + 0 = 0.32 + 0.04x

0.16 = 0.04x

x=4 ml; the amount of water that must be added

Thus, the amount of water that must be added is 4 ml to 8 mL of 6% saline solution to reduce the concentration to 4%.

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The listed price of the video game was $34, but the price with tax came to $37.40. Find the percent sales tax.

Answers

Answer:

10%

Step-by-step explanation:

we want to find what % of 34 is 37.40

so, we will use the following equation:

[tex]\frac{part}{whole} = \frac{percent}{100}[/tex]

for this scenario:

part = 37.40

whole = 34

percent = x

now plug in:

[tex]\frac{37.40}{34} = \frac{x}{100}[/tex]                         cross multiply

34x = (37.40)(100)

34x = 3740                      divide both sides by 34

x = 110%

now we know that with tax, we paid 110% of the video game's price

110 - 100 = 10%

so the percent sales tax is 10%

just to check...

34 • 1.10 = $37.40

or

34 • .10 = 3.40

34 + 3.40 = 37.40

VW = WX = YW = ZX = VX = view image attached thank youuu!

Answers

Answer:

assuming this is a rectangle:

VW=31

WX=19

YW=36.36

ZX=18.18

VX=36.36

Step-by-step explanation:

VW=VX

VW=31

WX=VX

WX=19

YW^2=19^2+31^2

YW^2=361+961

YW^2=1322

YW=36.36

ZX=1/2VX

ZX=18.18

VX=YW

VX=36.36

The measures of the rectangle are

a) The measure of VW = 31

b) The measure of WX = 19

c) The measure of YW = 36.36

d) The measure of ZX = 18.18

e) The measure of VZ = 18.18

What is the diagonal of a rectangle?

The diagonal of a rectangle is calculated by the formula

From the Pythagoras Theorem , The hypotenuse² = base² + height² , and

Diagonal of a Rectangle = √ ( Length )² + ( Width )²

Given data ,

Let the rectangle be represented as VWXY

Now , the diagonals of the rectangle are VX and WY

Substituting the values in the equation , we get

The measure of VY = 19

The measure of XY = 31

Now , for a rectangle the opposite sides are congruent

So , the measure of VY = measure of WX

And , the measure of XY = measure of VW

On simplifying the equation , we get

The measure of WX = 19

The measure of VW = 31

And , the diagonal of the rectangle = √ ( Length )² + ( Width )²

Substituting the values in the equation , we get

The diagonal of the rectangle YW = √ ( 31 )² + ( 19 )²

The diagonal of the rectangle YW = √ ( 961 + 361 )

The diagonal of the rectangle YW = 36.359 ≈ 36.36

And , the measure of VX = measure of YW = 36.36

Now , the measure of ZX = measure of VZ = measure of VX / 2

So , the measure of ZX and VZ = 36.36 / 2 = 18.18

Hence , the diagonal of the rectangles is 36.36

To learn more about diagonals of the rectangle click :

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What are the factors in 6x+4

Answers

Answer:

2(3x-2) is the answer

The factors of the expression 6x + 4 will be 2 and (3x + 2).

What is factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given as,

⇒ 6x + 4

Factorize the expression, then we have

⇒ 6x + 4

⇒ 2(3x + 2)

The factors of the expression 6x + 4 will be 2 and (3x + 2).

More about the factorization link is given below.

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Wednesday: Solve for x (can't use decimals), must use the rules.
Start by: What are the missing angles of this triangle?
What in the picture hints on the answer above?
X =
16

Answers

Answer:

missing angle isosceles angle and side (a)

Pythagoras theorem

a²+a²=16²

a²=256/2

a=√128=11.3=11

What is the value of the missing angle ?

Answers

Answer:

30

Step-by-step explanation:

? = 180 - 150 = 30

Answer:

30°

Step-by-step explanation:

The line is 180 degrees so all you have to do is subtract 150° from 180°

You should end up with 30°

Whenever you see a straight line (IT HAS TO BE STRAIGHT), it is equal to 180°.

Direction: Match the exponential notation in Column A to its
equivalent in column B.
Column A
Column B
1.3.
2.54
3.82
• B. 243
C. 512
4.94
. D. 625
5.2.
E. 1.024​

Answers

Answer:

446565688987888888 ti ifyx

One number is seven more than a second number. Six times the first is 10 less than 2 times
the second. Find the numbers.

The value of the first number is ___.
The value of the second number is ___.

Answers

Answer:

Step-by-step explanation:

The first number is

13

and the second number is

6

Explanation:

Let's let the first number be

n

and the second number be called

m

.

Then, from the first sentence we can write:

n

=

m

7

and from the second sentence we can write:

2

n

=

6

m

+

10

Substitute

m

7

for

n

in the second equation and solve for

m

:

2

(

m

7

)

=

6

m

+

10

2

m

14

=

6

m

+

10

2

m

14

2

m

10

=

6

m

+

10

2

m

10

14

10

=

6

m

2

m

24

=

4

m

24

4

=

4

m

4

m

=

6

Now substitute

6

for

m

in the first equation and calculate

n

:

n

=

6

7

n

=

13

Eric spent $21.82, including sales tax, on 2 jerseys and 3 pairs of socks. The jerseys cost $6.75 each and the total sales tax was $1.03. Fill in the table with the correct prices.

Answers

Answer:

each sock is: 2.43

each jersey is: 6.75

Step-by-step explanation:

Total Sock Amount: 7.29

Total Jersey Amount: 13.50

Total Tax Amount: 1.03

Total Cost: 21.82

Can someone pls answer both answers? Thank you so much :3

Answers

Answer:

1.40

2.51

welp that's all

help please????????????????????​

Answers

8,8,8 este primull!!!!!!! sper că te-am ajutat

DUDE HOW COME NO ONE HELPS ME WHEN THIS THING IS DUE TOMORROW LIKE PLS I WILL MARK YOU IF THATS ALL YOU WANT

Answers

Answer:

50%

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

look at where the line perfectly goes through a point on the table, ie (60,20) or (70,50), and count up each unit until you see it is aligned with another point that perfectly crosses through. then see how many units left or right you need to go to reach that point. on this graph you go up 3 units and to the right 1 unit, 3/1=3. the slope is 3

A snow blower requires a fuel mixture ratio of 40:1 (gas to oil). Which expression represents this ratio?

Answers

Answer:

A. 40/1

Step-by-step explanation:

A. 40/1

B. 1 X 40

C. 40 X 1

D. 1/40

Ratio of gas to oil = 40 : 1

40 : 1 = 40/1

40 : 1 can also be written as 40/1 or 40 to 1

please help me on this will give you brainliest!!

Answers

Answer:

9+(c*2)

im pretty sure this is correct, sorry for misreading it at first <3

what is the measure of the angle
PLEASE HELP
I-ready

Answers

Answer:

your awnser should be 42°

The answer is 42° because of the line

HELP I WILL GIVE BRAINLIEST

Solve for x.

7x + 14 – 2x = −x + 12 – x − 19
A. x = −3
B. x = −1
C. x = 1
D. x = 3

Answers

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

X COULD BE 2 OR 7

Step-by-step explanation:

Answer:

A. x= -3

Step-by-step explanation:

firstly collect all the terms . then move the term so it'd look like 5x+14 = -2x - 7 then calculate it then it would look like this : 5x+2x = -7 -14 after you move the terms you again calculate it and then the finish product would look like this : 7x = -21 so after you get that you divide by both sides and the answer is -3 . (im sorry if that don't make sense) but the answer is A.

James has 9 7/8 cups blueberrys he use 5 3/8 cups to make a pie he use another 2 6/8 to make muffins how many cups of blueberries does James have left

Answers

1 cup and 6/8 of cup

write an equivalent expression for 4(g-6)-7g. Simplify the expression.

Answers

Answer:

-3g-24

Step-by-step explanation:

4(g-6)-7g

= 4g-24-7g

= -3g-24

2. In the middle school band, there is 1 oboe for every 7 clarinets. Write three equivalent ratios to compare the oboes to the clarinets

Answers

1/7, 2/14, 3/21

I took the test

The three equivalent ratios to compare the oboes to the clarinets are,

⇒ 2 : 14

⇒ 3 : 21

⇒ 4 : 28

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

We have to given that;

In the middle school band, there is 1 oboe for every 7 clarinets.

Here, The ratio of the oboes to the clarinets is,

⇒ 1 : 7

Hence, Three three equivalent ratios to compare the oboes to the clarinets are,

⇒ 1 : 7

⇒ 1 / 7

⇒ 1×2 / 7×2

⇒ 2 / 14

And, 1 : 7

⇒ 1×3 / 7×3

⇒ 3 / 21

And, 1 : 7

⇒ 1×4 / 7×4

⇒ 4 / 28

The three equivalent ratios to compare the oboes to the clarinets are,

⇒ 2 : 14

⇒ 3 : 21

⇒ 4 : 28

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which of the following expressions is equal to 5-2m?

A) 7-2(m+1)
B) 7-2(m-2)
C) 7-(2m-5)

Answers

The answer would be A. Make sure you also use BEDMAAS, and take care of the brackets first

help, due tonight, asap, will give brainliest

Answers

Answer:

has one solution which is 2

Step-by-step explanation:

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