The perimeter of a rectangular garden is 72 feet. If the width is 8 feet less than the length, write a system of equations involving the length and width, L and W, and solve it to find the dimensions of the rectangle.

Answers

Answer 1

Answer:

width -w

length l= 2*w+5

perimeter P=2w+2l, 52=2w+2l

system of equations:

52=2w+2l  ------> 26 =w+l  (1)

l= 2*w+5    (2)

substitute  value of l from second equation into the 1st

26=w+2w+5

26=3w+5

21=3w

w=7

l=2w+5,  l=2*7+5, l=19

Answer:

system

52=2w+2l

l= 2*w+5  

length 19 ft, width 7 ft

Step-by-step explanation:

do not copy and paste into assignments please put this in your own words if possible

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Related Questions

Which letter represents the sum of (–4 + 3i) and (6 – i)?

Answers

2+2x or factored 2(1+x)

Answer:

2+2i = 2(1+i)

Step-by-step explanation:

2+2i = 2(1+i)

Write a positive or negative integer that represents the situation.

You dive 10 feet below the surface of the water

An integer that represents the situation is [ ]?

Answers

Answer:

it's -10

Step-by-step explanation:

because in the question they says below the surface of the water

so I think it's right

The upward is taken as positive and the downward is taken as negative. Then the integer can be represented as negative 10.

What is a sign convention?

Sign convention means the rule that is used when the sign is to be changed. It is applicable only when the equation is considered.

You dive 10 feet below the surface of the water.

Then the negative sign should be used because we considered the right side as positive and the left side as negative similarly upward is taken as positive and downward is taken as negative.

Then the integer can be represented as negative 10.

More about the sign convention link is given below.

https://brainly.com/question/14303096

#SPJ2

What are the 3 conditions that a graph must possess in order for it to be a proportional graph?

Answers

Answer:

The 3 things in order for a graph to be proportional is:

This means that as x increases, y increases and as x decreases, y decreases-and that the ratio between them always stays the same. The graph of the proportional relationship equation is a straight line through the origin.

Step-by-step explanation:

BRAINLIEST???

Hope This Helps!!!

if you give away 2 cupcakes and that is 20% of ur order how many cupcakes is that?

Answers

Answer:

you have 10 cupcakes and give away 2 which is 20% of 10

Step-by-step explanation:

Answer:
10% or 0.1

Step-by-step explanation:
Since your giving away 2 cupcakes and there’s 20% you have to divide your two numbers which is 20% and 2.

20% ÷ 2 = 0.1

20 ÷ 2 = 10

Use a number cube to determine the theoretical probability of the event. Rolling a 2

Answers

Answer:

1/6

Step-by-step explanation:

A cube has six sides

Six probable outcomes

rolling a 2 can only happen on 1 of those outcomes

so 1/6

Answer:

1/6

Step-by-step explanation:

The Answer is 1/6

Usually Holly leaves home to school at 9:00, however today she left home 20 minutes later. In order to be at school on time she increased her usual speed by 20% and still was at school 15 minutes later than usual. What is her usual time from home to school

Answers

Answer:

Her usual time from home to school is 30 minutes

Step-by-step explanation:

At any point in time;

distance = speed * time

Here, we want to calculate the normal time she spent going from home to school

Let the normal time be x minutes

And the normal speed be t m/min

Today, she increased her speed by 20%

Her speed today will be t + 20/100 * t =

1.2t m/min

Her distance from how to school normally is

xt meters

Now what this means is that, at the increased speed, she was able to get to school 5 minutes earlier

What we are saying is although, she lost 20 minutes initially, she was able to beat down the lateness by 5 minutes

So, the time spent on her increased speed journey is;

(x-5) minutes

At any point in time, the distance will be equal;

Thus, mathematically;

xt = 1.2t(x-5)

xt = 1.2xt - 6t

6t = 1.2xt-xt

6t = 0.2xt

t cancels out

0.2x = 6

x = 6/0.2

x = 30 minutes

7v + 6v pls help im learn about algebra

Answers

Answer:

infinite 7v + 6v could be anything theres no context to find out what v represents and how much it could amount to

Step-by-step explanation:

y + 3 = –y + 9

y = 1
y = 3
y = 6
y = 9

Answers

Answer:

y=3

Step-by-step explanation:

y + 3 = - y + 9

y + y = 9 - 3

2y = 6

y = 6/2

y =3

Translate the sentence into an equation using n to represent the unknown number. Then solve the equation for n. the quotient of a number divided by 11 is 0.5
a. 22 73= 5.5
b. - = 0.5 = 5.5
C. 11x= 1.5 = 5.5
d. llx=0.5 2= 0.045 ​

Answers

Answer:

n = 5.5

Step-by-step explanation:

Let the number be n. The quotient of a number divided by 11 is 0.5.

ATQ,

[tex]\dfrac{n}{11}=0.5[/tex]

Multiply both sides by 11.

[tex]\dfrac{n}{11}\times 11=0.5\times 11\\\\n=5.5[/tex]

Hence, the required number is 5.5.

Answer:

b. - = 0.5 = 5.5

Step-by-step explanation:

PLZ HELP I WILL GIVE YOU BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
PLZ READ QUESTION CLOSELY

Answers

Answer:

no he doesn't have enough, he has $257

he is short by $18 :)

Step-by-step explanation:

18 dollars short :) hope it helps

In ∆ABC, m∠BAC=4x+10,m∠ABC=12x-6,and m∠BCA=3x+5

Use the given information to find the value of x (1 point). Show your work (2 points)
Now that you know x, find the measure of each angle. Show your work (2 points each).
m∠BAC
m∠ABC
m∠BCA
Find the measure of angle 1 and angle 2 (2 points each)
m∠1
m∠2
Angle BAC and Angle FAC are examples of what type of angle pair? (1 point)
Angle BCE and Angle DCA are examples of what type of angle pair? (1 point)
Answer:

Answers

Answer:

Try this option, note: only calculation is performed, the last two question are missed.

Step-by-step explanation:

to calculate 'x':

the rule: m∠BAC+m∠ABC+m∠BCA=180°; if to substitute m∠BAC=4x+10,m∠ABC=12x-6,and m∠BCA=3x+5, then 4x+10+12x-6+3x+5=180°; ⇔ x=9.

to calculate m∠BAC; m∠ABC; m∠BCA:

m∠BAC=4x+10; ⇒ m∠BAC=36+10=46°;

m∠ABC=12x-6; ⇒ m∠ABC=108-6=102°;

and m∠BCA=3x+5; ⇒ m∠BCA=27+5=32°.

to calculate the angle 1 and 2:

the fule is: m∠1+m∠BAC=180° and m∠2+m∠ABC=180°.

Then m∠1=180-m∠BAC=180-46=134°;

m∠2=180-m∠ABC=180-102=78°.

(Giving brainliest to correct answer)

ASA AND AAS CONGRUENCE

Answers

a is ASA and b is AAS!
a) ASA
b)AAS
hope it helps:))

5x - y + z = -6
2x + 7y + 3z = 8
x + 2z = 6

Answers

Answer:

Step-by-step explanation:

The system of equations given are:

 

 5x - y + z = -6   ------------- i

 2x + 7y + 3z = 8  ---------- ii

  x + 2z = 6 ----------------- iii

Let us deal with equation i and ii first since they have 3 variables x, y and z;

      5x - y + z = -6                 x 7

       2x + 7y + 3z = 8            x 1

    35x  - 7y + 7z  = -42   ----  iv

      2x  + 7y + 3z  = 8       ---- v

Add equation iv and v;

    37x + 10z  = -34 ------vi

So, let us solve equation vi and iii:

               x + 2z = 6 - ---------- iii   x 10

               37x + 10z  = -34  --- iv  x 2

    10x + 20z   = 60         vi

     74x + 20z  = -68        vii

Subtract vi  - vii;

      -64x  = 128

          x  = -2

So;    put x  = -2 into iii;

           x + 2z  = 6

           -2 + 2z  = 6

            2z  = 6 + 2  = 8

           z  = 4

Put x  = -2 and z = 4 into equation i;

  5(-2) - y + 4  =  - 6

   -10 -y  +4  = -6

       -6  - y  = -6

             -y  = 0

              y  = 0

In the first week of July a record 1120 people went to the local swimming pool in the second week 105 fewer people went to the pool then in the first week in the third week 135 more people went to the pool then in the second week in the first week 310 fewer people went to the pool then in the third week what is the percent decrease in the number of people who went to the pool over these four weeks

In the first week of July a record 1120 people went to the local swimming pool in the second week 105 fewer people went to the pool then in the first week in the third week 135 more people went to the pool then in the second week in the first week 310 fewer people went to the pool then in the third week what is the percent decrease in the number of people who went to the pool over these four weeks

Answers

Answer:

25%

Step-by-step explanation:

The number of people who went to the local swimming pool in the;

first week = 1120

second week ( 105 fewer people) = 1120 - 105 = 1015

third week (135 more people) = 1015 + 135 = 1150

fourth week (310 fewer people|) = 1150 - 310 = 840

The percent decrease in the number of people who went to the pool over these four weeks

= (1120 - 840)/1120 * 100%

= 280/1120 * 100%

= 1/4 * 100%

= 25%

It means that the number of people who went to the local swimming pool over the 4 weeks decreased by 25%

The scale factor of the dimensions of two similar pieces of windows glass is 3 : 5 . The smaller piece costs $ 2.5 . How much should the larger piece cost ?

Answers

Answer:

$4 I believe

Step-by-step explanation:

hope this helps please mark brainliest if correct

30 points and brainly! which systems of inequalities is shown below?

Answers

Answer:

Its a

Step-by-step explanation:

Hope this helps!!!

Please answer correctly

Answers

Answer:

answer

Step-by-step explanation:

angle B=63

AC=23.5

AB=26.4

two friends share 3 fruit bars equally.How much does each friend get?

Answers

Answer:

1 1/2

Step-by-step explanation:

Answer:

1.5 one and a half

Step-by-step explanation:

3bars/2freinds=1 1/2 bars

I’ll mark brainliest I’m so lost w this

Answers

Answer:

The Area of the sector is: A = 95.4 cm²

Step-by-step explanation:

Given

Central angle Ф = 135°

radius r = 9 cm

To determine

Area of the sector = ?

The Area of the sector can be calculated using the formula

A = Ф/360 × πr²

substitute Ф = 135°, r = 9 and π = 3.14

A = 135/360 × (3.14) (9)²

A = 95.4 cm²

Therefore, the Area of the sector is: A = 95.4 cm²

Find x
14. (3x + 32) (5x - 8)
15. ( 2x - 10) ( 4x + 16 )

Answers

Answer:

14. -32/3

15. -4 and 5

Step-by-step explanation:

hope it will help you

Grace plans to visit her friend in another state. The distance to her friend is 1797 miles. If she leaves on Friday and drives 5 hours at a time at 70 mph, when will she get there?
A. The next day
B. In 2 days
C. In 3 days
D. In 5 days​

Answers

Answer:

In 5 days

Step-by-step explanation:

If you divide 1797 by 70 you will get 25.67 then divide 25 by 5 and you will get 5

What is the greatest common factor of 8x-6
A.2
B.2x
C.3x

Answers

The answer is 2

2 x 4x = 8x

2 x 3 = 6

The other options have variables in them

6 doesn’t have a variable, so that sums it up

Solve the system of equations

y = 5x + 32
y = -4x - 22

a. (6, 2)
b. ( -6, -2)
c. ( -6, 2) (correct)
d. No solution

Answers

Answer:

Option c is right:

(-6 , 2)

Step-by-step explanation:

( -6 , 2)

4. What is the measure of angle xº?

Answers

32/c because it is...

What do similar figures and congruent figures have in common?

Answers

Answer:They both are figures

Step-by-step explanation:123

Kendra is saving money to go buy a new bike. She needs at least $120. Her mom gave her $25 to get started. Let m represent the amount of money Kendra still needs to save.

Answers

Answer:

Kendra still need at least at least 95 dollars for her bike

Kendra needs to save $95

An ice cream shop has a sign in their window that says, "We sell 12,000 scoops per month." The number of scoops has been rounded.
Which could be the number of scoops sold if they rounded to the nearest thousand

Answers

Answer:

around 11,000?

Step-by-step explanation:

The number of ice cream scoops sold from the shop if it is rounded to the nearest a thousand are 12,111 and 11,589.

What is the nearest thousand of a number?

To write the large number at the nearest round, we use the nearest thousand of the number. The rounded to the nearest thousand of a number makes the calculation easy, and the result to understand batter.

To round a number to nearest thousand, follow the steps below-

Step 1) Write down the number, which you have round to the nearest thousand.Step 2) Select the number which is at the thousand or at the 3rd place from right side of the number.Step 3) Look at the number which immediate right to this number. If this number is less than 5, then make all the digits right of it  1as zero.Step 4) Look at the number which immediate right to this number. If this number is more than 5, then replace all the digits right of it with zero by adding 1 into the thousand place digit.

An ice cream shop has a sign in their window that says, "We sell 12,000 scoops per month." The number of scoops has been rounded.

The options of this problem are-

A) 10,999B) 12,111C) 11,589

The number of scoops sold if they rounded to the nearest thousand. As the nearest number is 11,589 which is less than the 1200 which shows some of the ice cream has been sold.

Also the number 12,111 can be rounded to 12000.

Hence, the number of ice cream scoops sold from the shop if it is rounded to the nearest a thousand are 12,111 and 11,589.

Learn more about the nearest thousand of a number here;

https://brainly.com/question/587947

A pair of shoes cost $42. The shoes are on sale for 20% off. How much will you save by buying the shoes on sale?

Answers

Answer:

$8.4

Step-by-step explanation:

take 42 divide by 5

Answer:

$8.40 will be saved by buying the shoes on sale

Step-by-step explanation:

10% of 42 is $4.20

therefore, 20% of 42 is twice the 10% amount = $8.40

Write the Linear Equation given:
1. Slope = 4; y-intercept = -5
2. Slope = 5; y-intercept = 3
3. Slope = -2; y-int; y-intercept = -8
4. Slope = 2; y-intercept = 2
5. Slope = -%; y-intercept = -2
6. Slope = /; y-intercept = 7
7. Slope = -3; y-intercept = ?
8. Slope = %; y-intercept = 10
9. Slope = -2; y-intercept = -1
10.Slope = -2; y-intercept = -3
Answers:

Answers

Answer:

Either a tangent line or a line parallel to the axis of symmetry will do.

A standard high school parabola has a vertical or horizontal axis of symmetry, so a line of the form  x=k  or  y=k  is the easiest way

hope it helps you

Sola, Kemi and Ojo were given
N45.00 by their grandfather. If Sola
received 40% of this amount, how
much remained to be shared between
Kemi and Ojo?​

Answers

Answer:

N27.00 remained to be shared between Kemi and Ojo

Step-by-step explanation:

We have an amount of N 45.00.

Sola received 40% of this amount, which means that 100% - 40% = 60% remained to be shared between Kemi and Ojo.

This amount is given by:

0.6*45 = 27

N27.00 remained to be shared between Kemi and Ojo

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