The length of a rectangle is 5 cm more than the width and the perimeter is at least 61cm. What are the smallest possible dimensions for the rectangle? (Hint: Perimeter = 2L +2W)
Explanation pleaseeee

x(x+2)+3x+6

x^2+2x+3x+6

x (x+2)+3(x+2)

(x+3) (x+2)

Answer:

$10.42

Step-by-step explanation:

Compound interest formula: A=p(1+r/n)^nt

9=p, r=0.05, n=1, and t=3

A=9(1+0.05)^3

A=9(1.05)^3

Plug this into calculator and you get $10.42

Answer:

A  = $10.42

Step-by-step explanation:

The appropriate formula is the "compound amount" formula given by

A = P(1 + r)^t,

where P is the initial amount, r is the annual interest rate as a decimal fraction, and t is the number of years elapsed.

Here:  

A = $9(1 + 0.05)^3, or

A  = $9(1.05)^3, or

A  = $10.42

Answer:

Tina's age = 2 years

Step-by-step explanation:

Tina's age = x

Michelle's age = 3 * x = 3x

Tina is 4 years younger than Michelle.

x = 3x - 4

Add 4 to both side

x +4 = 3x

Subtract x from both sides

4 = 3x - x

4 = 2x

Divide both sides by 2

4/2 = x

2 = x

Tina's age = 2 years

Step-by-step explanation:

a vertex is a corner and the corner that both the quadrilateral and Pentagon share is a point at (-3, -5)

9514 1404 393

Answer:

  3x -2y +11 = 0

Step-by-step explanation:

The equation of the line perpendicular to ax+by=c through point (h, k) can be written as ...

  b(x -h) -a(y -k) = 0

Simplifying this will put it in general form.

__

You have a=2, b=3, (h, k) = (-1, 4), so your equation is ...

  3(x +1) -2(y -4) = 0 . . . . fill in the values

  3x -2y +11 = 0 . . . . . . . simplify

Answer: p = 1/5

Step-by-step explanation:

-5(p + 3/5) = -4

Now we open the brackets and -5 mutiplies with both terms

-5p - 3 = -4

-5p = -4+3

-5p = -1

p = -1/-5

p = 1/5

please click thanks and mark brainliest if you like :)

Answer:

2,400,000,000,000

Step-by-step explanation:

2.4 x 10^12 means that the decimal point is moved 12 places to the right (hence the power of 12)

So by moving the decimal point 12 times you get this: 2,400,000,000,000

The reason why there are only 11 zeroes is because the 4 was a decimal place  to the right of 2, thus losing a zero.

Answer:

Below

Step-by-step explanation:

Sale price of each tire : $92.99 - $20 = 72.99. The cost of x tires is 72.99x

If the sales tax is 4% there is an additional (72.99x)(1.04)

Here is the equation

= (72.99)(1.04) t

If Patrick bought 8 tires.....

= (72.99)(1.04)(8)

= $607.2768

Hope this helps!

Answer:

Ascending- 10%, 0.2, 1/4, 30%

Descending- 30%, 1/4, 0.2, 10%

Step-by-step explanation:

0.2 = 2/10 = 4/20

1/4 = 5/20

30% = 30/100 = 6/20

10% = 10/100 = 2/20

Ascending

-2/20, 4/20, 5/20, 6/20

- 10%, 0.2, 1/4, 30%

Descending

- 6/20, 5/20, 4/20, 2/20

- 30%, 1/4, 0.2, 10%

Answer:

22 is the correct answer of your question hope it helps you

Step-by-step explanation:

Her father is 34 years old

Answer:

40 girls 20 boys i think / guess

Step-by-step explanation:

Answer:

20/40

Step-by-step explanation:

i hope it help

Step-by-step explanation:

1minute=60seconds

500 meters=60

100 meters=x

cross multiply

500×x=100×60

500x=6000

x=12

Mr. A will use 12seconds

450meters=70

100=a

cross multiply

450×a=100×70

450a=7000

divide both sides by 450

400=45

100=n

cross multiply

400×n=100×45

400n=4500

divide both sides by 400

divide and get your answer

Yes

Step-by-step explanation:

I believe so. Hope this helps

Answer:

12.5 cm

Step-by-step explanation:

0.625km=62500cm. The scale factor is 1:5000. So the distance on the map will be 62500/5000=12.5 cm

Answer:

[tex]69.8[/tex]

Step-by-step explanation:

order of operations can be abbreviated as GEMDAS 1. Groups 2. Exponents 3. Multiplication and Division 4. Addition and Subtraction

So start by writing out the equation

[tex]7.8+6.2*(4-1.5)*4[/tex]

Slove anything grouped with parenthesis or other grouping symbols

[tex]7.8+6.2*(2.5)*4[/tex]

There are no exponents so skip to Multiplying and Dividing

[tex]7.8+15.5*4[/tex]

[tex]7.8+62[/tex]

Then Addition and Subtraction

[tex]69.8[/tex]

(also I already know that most people write it as PEMDAS as in parenthesis instead of groupings but I personally prefer to abbreviate it as GEMDAS and that is an opinion for a reason)

answer:

-1

here's the explanation below :))

Answer:

- specific goals: describe what exactly you want to achieve by doing something and how you will do that.

- measurable: which means you need to be able to identify the goals you want to achieve. You might have to break down your goal into measurable parts.

Step-by-step explanation:

[tex] \sf \: ( - 12 )\times( - 4) + (- 8 )+ (+ 3) \\ \sf \: = (- 12 \times - 4 )+ (- 8 + 3) \\ \sf \: = 48 - 5 \\ = 43[/tex]

Hope it helps.

RainbowSalt2222

Answer:

no

Step-by-step explanation:

We can determine if they are equivalent if the cross products are equal

11          2

----- = ------

9            1

11*1 = 2*9

11 = 18

This is false so the ratios are not equivalent

Answer:

4746

Step-by-step explanation:

Answer:

Step-by-step explanation:

The perimeter formula is P = 2L + 2W. If the perimeter is given as 68 feet, then our P will be filled in with 68. If the length is "5 inches shorter than twice the width" is an expression that looks like this, keeping in mind that "shorter" means subtraction, "twice" means doubled, and the word "is" means equals:

L = "length is"

2W is "twice the width"

5 inches shorter is " - 5". Putting it all together:

L = 2W - 5. Now we can fill in the perimeter formula:

68 = 2W + 2(2W - 5) and

68 = 2W + 4W - 10 and

68 = 6W - 10 and

78 = 6W so

W = 13. The width is 13 inches and the length is

L = 2(13) - 5 so the length is

L = 21 inches.

Answer:

Height of tree 3 years ago: 24 inches

Height of tree now: 54 inches

54-24 = 30

The tree grew 30 inches in 3 years.

So on average it grew 10 INCHES PER YEAR.

Let me know if this helps!

Answer:

(C) 10 inches per year

Step-by-step explanation:

54-24 = 30 inches in 3 years

30/3 = 10 inches per year

Answer:

Following are the responses to the given question:

Step-by-step explanation:

The following relationships usually have a direct or inverse relationship, please indicate.

Answer:

(-4, 2) y(2, -8)

{-4 y(2, -8), 2 y(2, -8)}

-4 y(2, -8) + 2 y(2, -8) = -2 y(2, -8)

-y(2, -8)

2 sqrt(5) abs(y(2, -8))

Step-by-step explanation:

D

Answer:

C

Step-by-step explanation:

The center will be the midpoint of the line connecting A and B.

x=(-4+2)/2=-2/2=-1

y=(2-8)/2=-6/2=-3

Answer:

See below

Step-by-step explanation:

40% own neither, it means 100% - 40% = 60% own either a dog or a cat.

Since 45% own a dog, 60% - 45% = 15% own a cat but not a dog.

Since 25% own a cat and 15% own only a cat, 25% - 15% = 10% own a dog and a cat.

Now, 10% out of 45% own both pets, 45% - 10% = 35% own only a dog.

All the numbers reflected in the attached Venn diagram:

Answer:

[tex]\cos \left(90 ^\circ - x\right) \approx 0.1688[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \tan x = \frac{3}{7}[/tex]

And we want to find the value of:

[tex]\displaystyle \cos \left(90^\circ - x\right)[/tex]

Recall that by definition, tan(θ) = sin(θ) / cos(θ). Hence:

[tex]\displaystyle \frac{\sin x }{\cos x} = \frac{3}{7}[/tex]

And by definition, sin(θ) = cos(90° - θ). Hence:

[tex]\displaystyle \frac{\cos \left(90^\circ - x\right)}{\cos x} = \frac{3}{7}[/tex]

Multiply:

[tex]\displaystyle \cos \left(90 ^\circ - x\right) = \frac{3}{7} \cos x[/tex]

Find cosine. Recall that tangent is the ratio of the opposite side to the adjacent side. Therefore, the opposite side is 3 and the adjacent side is 7.

Thus, by the Pythagorean Theorem, the hypotenuse will be:

[tex]\displaystyle h = \sqrt{3^2 + 7^2} = \sqrt{58}[/tex]

Cosine is the ratio of the adjacent side to the hypotenuse. Therefore:

[tex]\displaystyle \cos x = \frac{7}{\sqrt{58}}[/tex]

Thus:

[tex]\displaystyle \cos \left(90 ^\circ - x\right) = \frac{3}{7} \left(\frac{3}{\sqrt{58}}\right)[/tex]

Use a calculator. Hence:

[tex]\cos \left(90 ^\circ - x\right) \approx 0.1688[/tex]

Answer:

5.6 km/hr 8500 n

so 1 km/hr 1517.857 n

Step-by-step explanation:

Answer:

y=16x

Step-by-step explanation:

24=1 1/2x=3/2x

x=24*(2/3)=16

y= total money earned; x=number of hours worked