13) A rectangular garden has an area of 45 square meters. The garden will be 4 meters longer than its width Write and sowe an equation to find the dimensions in meters.​

Answers

Answer 1

Answer:

9m ×5m

Step-by-step explanation:

Area of a rectangle= length ×width

Let the width be W meters and the length be L meters.

2 equations can be written from the given information:

45= WL -----(1)

L= W +4 -----(2)

Substitute (2) into (1):

45= W(W +4)

Expand:

45= W² +4W

-45 on both sides:

W² +4W -45= 0

Factorise:

(W +9)(W -5)= 0

W+9=0 or W-5=0

W= -9 or W= 5

(reject)

Substitute W= 5 into (2):

L= 5 +4

L= 9

∴ The dimensions of the garden is 9m ×5m.


Related Questions

what would be the value of y in the equation 2y + 7 = 7

Answers

y=0

Schools almost out, good luck!!

|x| > - 16 what is the value of x

Answers

9514 1404 393

Answer:

  x ∈ all real numbers

Step-by-step explanation:

The given inequality is true for any value of x. The absolute value of a quantity is always greater than any negative number.

0.009 divided by 0.001

Answers

Answer:

9

Step-by-step explanation:

0.001 · 9 = 0.009

It’s 9 the answer is 9

solve the equation
2/3 x (−4/5)

Answers

The answer is -8x/15

Answer:

below is correct

Step-by-step explanation:

what is the area of the pentagon shown below a.27 square feet b. 58.5 c.85.5 d.117

Explain why.

Answers

Answer:

Option B, Area of pentagon = 58.5 Square feet

Step-by-step explanation:

The remaining part of the question is attached as image

Solution

Area of pentagon has a triangle and a trapezoid

Area of triangle = 0.5 *base *height = 0.5*9 *3 = 13.5  square feet

Area of trapezoid = Area of rectangle – 2* area of smaller triangles

= 9 ft * 6ft – ( 2 * 0.5 * 6 ft * (9 ft – 6ft) /2

= 54 – (1*6*1.5)

Area of pentagon = 13.5 + 45 = 58.5 Square feet

Hence, option B is correct

Please Help! 100 Points to whoever does!

Answers

Answer:

cross multiply

(3+2) 10^3==

5*10^3

A teacher buys 2 boxes of glue sticks . Each box has 8 glue sticks . She puts all the glue sticks in 4 baskets . Each basket has the same number of glue sticks. How many glue sticks are there in each basket ?

Answers

Answer:

4

Step-by-step explanation:

2x8=16

16 divided by 4 = 4

A mechanical system has 3 subsystems in series, each has reliabilities 98%, 96% and 94%, respectively. What is the overall reliability of the system

Answers

Answer:

The overall reliability of the system is 99.9952%

Step-by-step explanation:

Probability of the system not working:

None working, the first with 2% probability of not working(as it has 98% probability of working), the second with 4% and the third with 6%. So

0.02*0.04*0.06 = 0.000048

Probability of the system working:

1 subtracted by the probability of the systme not working.

1 - 0.000048 = 0.999952

0.999952*100% = 99.9952%

The overall reliability of the system is 99.9952%

Can someone help me with this? Please and thank you!

Answers

Answer:

She should find the squares between 4.2 and 4.3

Step-by-step explanation:

The square of 4.2 was too low and the square for 4.3 was too high so the answer is between the two.

Mr. Assan had 492 tickets left after the movie. He started with 2,009 tickets. How many tickets did Mr. Assan sell?

Answers

Answer:

1,517

Step-by-step explanation:

2,009 - 492 = 1,517

2,009-492=1,575
He started out with 2,009 he had 492 left over so subtract that from the amount he started out with and you get the answer

maths question is here
9+92*12312

Answers

Answer:

it would be 101 i believe

Answer:

1,132,713

Step-by-step explanation:

9+ 92 * 12312

= 9 + 1,132,704

= 1,132,713

NEED HELP ASAP!!!!

3/4 + (1/3 ÷ 1/6) - (-1/2)=?
A:1/4
B:1 1/4
C:3/4
D:2 1/4

⚠️NO LINKS OR I WILL REPORT⚠️​

Answers

Answer:

anser is 3.24 or 3 and 1/4

Step-by-step explanation:

Answer:

3 1/4

Step-by-step explanation:

3/4+(1/3 ÷1/6)-(-1/2)=

3/4+(2)+1/2

3/4+5/2

3/4+10/4

13/4

3 1/4

Can someone help me please?

Answers

Answer:

d

Step-by-step explanation:

linear function

A website has a 24-hour sale offering 12% off all purchases.

Dina buys a sweatshirt in the sale.
She pays £24.20 for the sweatshirt.

Calculate the original price of the sweatshirt.

Answers

Answer:

the given 24.20 is not the discount so we have to subtract it by 100%

A cupcake recipe takes 3 cups of flour for every 2 dozen cupcakes. How many cups of flour does Sally need to make 96 cupcakes? Use the table to help.​

Answers

Answer: 12 cups of flour

Step-by-step explanation:

12 cups of flour 3 + 3 + 3 + 3 = 12 because I have to make 96 cupcakes for tomorrow.

The amount of flour required will be 8 x 1.5 = 12 cups of flour. Option A is correct.

What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

To make 2 dozen cupcakes, the recipe requires 3 cups of flour. Therefore, for 1 dozen cupcakes, the recipe requires 1.5 cups of flour (since 2 dozen cupcakes = 2 x 1.5 = 3 cups of flour).

To make 96 cupcakes, Sally needs 8 dozen cupcakes (since 8 x 12 = 96). Therefore, the amount of flour required will be 8 x 1.5 = 12 cups of flour.

So, the answer is 12 cups of flour, and the explanation should be:

To make 2 dozen cupcakes, the recipe requires 3 cups of flour. Therefore, for 1 dozen cupcakes, the recipe requires 1.5 cups of flour. To make 96 cupcakes, Sally needs 8 dozen cupcakes.

Therefore, the amount of flour required will be 8 x 1.5 = 12 cups of flour.

Learn more about Ratio here:

brainly.com/question/13419413

#SPJ2

To simplify the following expression, which operation would you complete third?

9 + (16 - 2) 42 ÷ 8
simplify the exponent
multiply
add
divide

Answers

The rule of PEMDAS states that Parentheses always comes first, exponents always comes second, but Multiplication and Division are equal. Because multiplication and division are equal, you work left to right and do whatever operation comes first. Multiplication and division come before addition and subtraction, which also have an equal relationship.

Therefore, if you have simplified the terms inside the parentheses first, and have done the exponents second, then multiplication would come next. So that’s the answer, multiplication.
The answer is Multiply

Write the function
F(x)= 5x^2+10x+16 in standard form

Answers

Answer:

[tex]f(x) = 5x^2 + 10x + 16[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 5x^2 + 10x + 16[/tex]

Required

Write in standard form

The standard form of a quadratic function is:

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

This implies that: [tex]f(x) = 5x^2 + 10x + 16[/tex] is already in standard form

Teresa has $3.60 in quarters and nickels. If she has 36 coins total, the number of quarters multiplied by the number of nickels is equal to what number?​

Answers

9514 1404 393

Answer:

  243

Step-by-step explanation:

Let q represent the number of quarters. Then (36-q) is the number of nickels. The total value of the coins is ...

  0.25q + 0.05(36 -q) = 3.60

  0.20q = 1.80 . . . . . . . . . . . . . simplify, subtract 1.80

  q = 9 . . . . . . . . . . . . . . . divide by 0.20

  36 -q = 36 -9 = 27 . . . . the number of nickels

The product of the number of quarters and the number of nickels is ...

  (9)(27) = 243 . . . the product of interest

Multiply 3 1/3 x 1 1/7
write the answer in simplest form.

Answers

3 1/3 • 11/7= 3 17/21


A free carnival game offers a prize of $100 If you hit a balloon with a dart and $20 if you at least get the dart to stick on
the board. You win nothing otherwise. You play once. Let X be the amount of money you win. Which of the following
are possible values of X?
$80
$100
$20
$120
$0

Answers

Answer:

120 po

thanks again byeeee

The set of all numbers on a number line are called?

Answers

Answer:

This second number line is called an integer number line, since integers are the set of numbers including all whole numbers and their negative opposites. Two opposite numbers are the same distance from zero on the number line, but on opposite sides. For example, 3 and -3 are opposites.

Step-by-step explanation:

I hope it's help u

Find the slope of the line to the right. ​

Answers

9514 1404 393

Answer:

  -3/2

Step-by-step explanation:

Points are marked 2 units apart on the x-axis. Between a given point and the one to its right, the y-value changes by -3. The slope is ...

  slope = rise/run = (change in y)/(change in x)

  slope = -3/2

The living room in a new house has the dimensions shown. What is the volume of the room?

Answers

Answer:

v = 220 yd²

Step-by-step explanation:

Small portion

v = 5 * 4 * 3

v = 60 yd²

Large portion

v = 9 * 6 * 3

v = 162 yd²

Total

v = 60 + 162

v = 220 yd²

In a 3-digit number, the hundreds digit is one more than the ones digit and the tens digit is twice the hundreds digit. If the sum of the digits is 11, find the number. Plz give equation and answer.

Answers

Answer:

362

Step-by-step explanation:

Let the ones digit equal x. If the ones digit is one, then the hundreds digit is one more than it or x + 1. And, since the tens digit is twice the hundreds digit, you can say it is 2(x + 1) or as simplified: 2x + 2. Now, we are given the sum of the digits is 11, so if we add all of them, they should be equal to 11:

x + x + 1 + 2x + 2 = 11

We can combine like terms:

4x + 3 = 11

4x = 8

x = 2

So, the ones digit is 2. Since the hundreds digit is one more, it's 3. And because the tens is twice the hundreds, it's 6. The number is 362.

Answer:

362

Step-by-step explanation:

Hundreds:x

Tens:2x

Ones:x-1

x+2x+x-1=11=equation

3x-1=11

3x=12

x=4-1

x=3

9(w+9)=___w+____
plsss answer

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]9w + 81[/tex]

»»————- ★ ————-««  

Here’s why:

We are given the expression of:

[tex]9(w+9)[/tex]

To simplify this, we would have to use the distributive property.

⸻⸻⸻⸻

[tex]\boxed{\text{Distributive Property}}\\\\a(b+c)=ab+ac\\\\\text{A, B, and C are real numbers.}[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying the expression given:}}\\\\9(w+9)\\-------\\\rightarrow9(w+9)\\-------\\\text{Distribute 9 into 'w+9'.}\\\\9 * w=9w\\\\9*9=81\\\\------\\\text{Therefore:}\\\\9(w+9)=\boxed{9w+81}[/tex]

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

You have inherited land that was purchased for $25,000 in 1970. The value of the land has appreciated by
approximately 4% per year. What was the value of the land in the year 2000?
(a) Write the exponential function for this scenario:
(b) What was the value of the land in the year 2000? Round to the nearest whole dollar.
A. $750,000
B. $605,035,808
C. $81,084
D. $7,346

Answers

Answer:

Future value of land = 25,000[1.04]³⁰

Future value of land = $81,084 (Approx.)

Step-by-step explanation:

Given:

Purchase cost of land in 1970 = $25,000

Application rate = 4% per year

Find:

Price of land in 2000

Computation:

Number of year = 2000 - 1970 = 30 year

Future value of land = [Purchase cost of land][1+Application rate]ⁿ

F = P[1+r]ⁿ

Future value of land = 25,000[1+4%]³⁰

Future value of land = 25,000[1+0.04]³⁰

Future value of land = 25,000[1.04]³⁰

Future value of land = 25,000[3.24339]

Future value of land = 81,084.75

Future value of land = $81,084 (Approx.)

Rita can make 8 cakes for a bakery each day. So far she has orders for more than 32 cakes. Right now, Rita needs more than four days to make cakes. Write the inequality for the statement in bold. The other numbers are not needed. Use m.

Answers

Answer:

m ≥ 4

Step-by-step explanation:

8m ≥32

m ≥ 4 where m is the number of days needed to make the cakes so it needs 4 or more days to make 32 cakes

The probability that a battery will last 10 hours or more is 80%, but the probability that a battery will last 15 hours or more is only 15%. What is the probability that a battery will last 15 hours or more given that it has lasted 10 hours or more

Answers

Answer:

0.1875 = 18.75% probability that a battery will last 15 hours or more given that it has lasted 10 hours or more.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Lasting 10 hours or more.

Event B: Lasting 15 hours or more.

The probability that a battery will last 10 hours or more is 80%.

This means that [tex]P(A) = 0.8[/tex]

Probability of lasting 10 hours or more and 15 hours or more.

This is the probability of lasting 15 hours or more(if it has lasted 15 or more, it has lasted 10 or more).

The probability that a battery will last 15 hours or more is only 15%, which means that [tex]P(A \cap B) = 0.15[/tex]

What is the probability that a battery will last 15 hours or more given that it has lasted 10 hours or more?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.8} = 0.1875[/tex]

0.1875 = 18.75% probability that a battery will last 15 hours or more given that it has lasted 10 hours or more.

Pls answer ASAP!! If you could give an explanation that would be awesome!!!

Answers

Answer:

D, u selected the right one

Step-by-step explanation:

A: asking the teachers who have cafeteria duty won't help you find out why students don't want to buy lunch.

B: the students that are already waiting in line for lunch won't help you find out why student don't want to buy lunch either because they are buying the lunch.

C: Asking all the teachers won't help because you want to know why students don't buy lunch

D: Asking students in the school will help because the students will be able to tell you exactly why THEY don't buy lunch.

An alligator if drawn at the scale of 1:84. In the drawing, it is 5.9 cm long. How long is the actual alligator? i am having troubles please help.

Answers

Answer: r

Step-by-step explanation:

Answer:

495.6 cm, or 4.956 m

Step-by-step explanation:

1:84 means that a centimeter on the drawing has to be multiplied 84 times in order to find the real length. Therefore, 5.9 x 84 = 495.6

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