the length of a rectangle exceeds its width by 12 inches, and the area is 85 square inches. what are the length and width of the rectangle?

Answer:

3/98

Step-by-step explanation:

six black socks, 6 blue socks, 12 white socks, and 4 pattern socks= 28 socks

P( blue ) = blue /total = 6/28 = 3/14

Replace it

six black socks, 6 blue socks, 12 white socks, and 4 pattern socks= 28 socks

P ( pattern) = pattern/total = 4/28 = 1/7

P( blue,replace, pattern) = 3/14*1/7 = 3/98

Answer:

[tex]\frac{5x+1}{5}[/tex]

Step-by-step explanation:

Given Condition:

=> x+50%-30%

=> x+20%

=> [tex]x+ \frac{20}{100}[/tex]

LCM = 100

=> [tex]\frac{100x+20}{100}[/tex]

Taking 20 common

=> [tex]\frac{20(5x+1)}{100}[/tex]

=> [tex]\frac{5x+1}{5}[/tex]

Hope this helps!

Don't hesitate asking anything regarding this!

Answer:

Answer is option a) x = 4 ±√5

Step-by-step explanation:

[tex]given \: equation \: is \\ {(x - 4)}^{2} = 5 \\ taking \: sqareroot \: on \: bot \: sides \\ x - 4 = ± \sqrt{5 } \\ x = 4± \sqrt{5} [/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Step-by-step explanation:

r = c/2π

Answer:

Solution,

[tex]diameter = 5 \: cm \\ height = 30 \: cm \\ surface \: area \: of \: cylinder \\ = 2\pi \: r(h + r) \\ = 2 \times \frac{22}{7} \times 2.5(30 + 2.5) \\ = 5 \times \frac{22}{7} \times 32.5 \\ = 510.71 \: {cm}^{2} [/tex]

hope this helps...

Good luck on your assignment...

Answer :

Here,

Diameter = 5cm so, radius = 5/2 = 2.5

Height = 30 cm

Surface area of a cyclinder = 2πr(r+h)

= 2 × 22/7 × 2.5 ( 30 + 2.5 )

= 5  ×  22/7  ×  32.5

= 510.71 cm²

Answer:

234.85

Step-by-step explanation:

This was easy!!!

(The gardener comes 4 times a month... so divide 85.40 by 4 and you will get 21.35. Each time he comes, he gets 21.35 and by the end of the month, he has 85.40. It says he already came 11 times. So 4 + 4 = 8 + another 4 that equals 12. He came only two months and a few weeks. This means multiply 85.40 by 2 so you would get 170.8. It said he came 11 times so substract 11 from 8 and you would get 3. So multiply 21.35 by 3 and get a total of 64.05. Add 170.8 and 64.05 to get 234.85!!! The answer is 234.85 or C!!!!

Answer: C. $234.85

Explanation: $85.40 (how much Katrina pays each time the gardener comes) * 4 (the number of times the gardener comes each month)  = $234.85 (how much the gardener made)

Answer:

log base 10 of 40/9, log(40/9), or 0.6478

Step-by-step explanation:

Easiest and fastest way to do this is to plug it into the calc because the log base 10 of those numbers given will be nasty decimals.

Answer:

Subtract 4 and then add 6.

Step-by-step explanation:

8-4=4

4+6=10

10-4=6

6+6=12

12-4=8

8+6=14

The rule for this pattern can be subtracting 4, and then adding 6.

Answer:

840 cm³

Step-by-step explanation:

Cut the prism into two cuboids.

The first cuboid has dimensions of 4 cm × 6 cm × 5 cm

The height is 4 cm, the width is 5 cm and the length is 6 cm.

The second cuboid has dimensions of 15 cm × 6 cm × 8 cm.

The height is 8 cm, the width is 6 cm and the length is 15 cm.

The formula for the volume of the cuboid is l×w×h.

Length × Width × Height

The first cuboid has a volume of:

4 cm × 6 cm × 5 cm

= 120 cm³

The second cuboid has a volume of:

15 cm × 6 cm × 8 cm

= 720 cm³

Add the volumes of the two cuboids.

720 cm³ + 120 cm³

= 840 cm³

The volume of the prism is 840 cm³.

Answer:

V = 840 cm³

Step-by-step explanation:

Let's Divide this prism into two rectangular Prisms

Prism 1:

Volume = [tex]Length * Width * Height[/tex]

V = 15 * 8 * 6

V = 720 cm³

Prism 2:

Volume = [tex]Length * Width * Height[/tex]

V = 4 * 5 * 6

V = 120 cm²

Whole Prism

V = 720+120 = 840 cm³

Answer:

y = 14

Step-by-step explanation:

y ∝ [tex]\frac{1}{x}[/tex]

=> y = [tex]\frac{k}{x}[/tex]     -------------(1)

Where k is the constant of proportionality

Now,

x = 7, y = 4

Putting in (1)

4 = [tex]\frac{k}{7}[/tex]

So,

=> k = 28

Now y = ? when x = 2

Putting x and k in (i)

y = [tex]\frac{28}{2}[/tex]

y = 14

Answer:

[tex]y=14[/tex]

Step-by-step explanation:

[tex]y \propto 1/x[/tex]

[tex]y=k/x[/tex]

[tex]4=k/7[/tex]

[tex]4 \times 7 = k[/tex]

[tex]28=k[/tex]

[tex]y=28/x[/tex]

[tex]y=28/(2)[/tex]

[tex]y=14[/tex]

C. (-4,-⅔)

Step-by-step explanation:

Elimination Method:

R - 9S = 2

3R - 3S = -10

I'll solve for X first by eliminating S.

R - 9S = 2

-3(3R - 3S = -10)

R - 9S = 2

-9R + 9S = 30

(Add the equations)

-9R = 32

(Divide both sides by -9)

-9R/-5 = 32/-5

R = -4

Substitute the R value into either equation:

R - 9S = 2

(-4) - 9S = 2 (Add 4 to both sides of the equation)

+4 +4

-9S = 6 (Divide both sides of the equation by -9)

-9S/-9 = 6/-9

S = -6/9

Simplify

S = -2/3

Solution: (-4,-⅔)

Hope this helped

Answer:

2144.66

Step-by-step explanation:

V = 4/3 π r^3

Answer:2144.66

Step-by-step explanation:

formula for volume of a sphere- v=4/3 pi r^3

v=4/3 pi 8^3

V= 4/3 pi 512

v=2048pi

v=2144.66

Answer:  Area = 26π + 20 cm²

Step-by-step explanation:

There are 2 large semicircles = 1 large circle

There are 2 small semicircles = 1 small circle

There is 1 rectangle.

Find the Area of each shape above and then find their sum.

1) Large Circle: A = πr²,    d = 10 --> r = 10/2 = 5

                     A = π(5)²

                        = 25π

2) Small Circle: A = πr² ,    d = 2  --> r = 2/2 = 1

                     A = π(1)²

                        = π

3) Rectangle: A = length × width,     L = 10  w = 2

                      A = 10 × 2

                         = 20

Total = Large + Small + Rectangle

         = 25π   +    π      +  20

         = 26π + 20

I just wanted to say that the person who wrote the actual answer is a life saver and that answer is very correct :)

Answer:

256in²

Step-by-step explanation:

Just add the area the two Rectangals = A=128*2 = 256in² or calclute the whole and deduct the 2 missing sqares 16

384-128=256in²

Answer:

(23, 4)

Step-by-step explanation:

If we use substitution, we need to rewrite the 2nd equation so we can substitute it into the first.

Step 1: Rewrite 2nd equation

x = 5y + 3

Step 2: Substitution

2(5y + 3) - 5y = 26

Step 3: Distribute

10y + 6 - 5y = 26

Step 4: Combine like terms

5y + 6 = 26

Step 5: Isolate y

5y = 20

y = 4

Step 6: Find x

x - 5(4) = 3

x - 20 = 3

x = 23

And we have our final answer!

Answer:

(23,4)

Step-by-step explanation:

x-5y=3

 +5y=+5y

    x=3+5y

-- Plug that into X for the other Equation

2(3+5y)-5y=26

Solve for y

2(3+5y)-5y=26

Distribute the 2

6+10y-5y=26

Simplify

6+5y=26

-6     =-6

5y=20

(divide by 5)

y=4

plug 4 in the either equation and solve for x

x-5(4)=3

x-20=3

+20=*20

X=23

Answer:

[tex] \sin(b) = \frac{12}{13} [/tex]

Answer:

[tex]7/12[/tex]

Step-by-step explanation:

[tex]3/8=0.375[/tex]

[tex]5/10=0.5[/tex]

[tex]7/12 \approx 0.58333333333[/tex]

[tex]6/14 \approx 0.42857142857[/tex]

Therefore, 7/12 is the closest to 1 than 0.

Answer:

6

Step-by-step explanation:

Note that any digits other than the units digit will not affect the answer. So to make computation quicker, we can just look at the Fibonacci sequence in $:

$1,1,2,3,5,8,3,1,4,5,9,4,3,7,0,7,7,4,1,5,6,....$

The last digit to appear in the units position of a number in the Fibonacci sequence is $6.

The last to appear in the ones position of a number in the Fibonacci sequence is [tex]6[/tex].

The Fibonacci sequence [tex]1, 1, 2, 3, 5, 8, 13, 21[/tex], … starts with two 1s, and each term afterward is the sum of its two predecessors.

The next terms are:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946.

Here, it can be seen that [tex]6[/tex] is the last to appear in the ones position of a number in the Fibonacci sequence.

Learn more here:

https://brainly.com/question/13247630?referrer=searchResults

Answer:

g = 48 divided by 4

Step-by-step explanation:

Answer:

g=48/4

Step-by-step explanation:

this thing / mean divided

Answer:

slope is undefined

Step-by-step explanation:

We can use the slope formula

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

   = (-4 -1)/(8-8)

     = -5/0

We cannot divide by zero so the slope is undefined

Answer:

Slope is undefined .

Step-by-step explanation:

        y2 - y1

m =   ---------------  

         x2 - x1

           -4 - 1             -5

m =   ---------------  =  ----- -  = 0

            8 - 8             0

Answer: Graph C is correct

Step-by-step explanation:

The region below the dashed red line is y < 4/3x +2

The region below the solid purple line is y ≤ -1

The region below and left of the solid green line is y ≤ -3x

Answer:

C is correct

Step-by-step explanation:

Yes, most def

Answer:

10cm

Step-by-step explanation:

First let's define variables a and x:

a = area of rectangle and square

x = side of square

Now let's create an equation to calculate a using the square and an equation to calculate a using the rectangle:

Using square: [tex]x^{2} =a[/tex]

Using rectangle: [tex](5+2x)(x-6)=a[/tex]

Now we want to solve for x so let's combine the equations since they are both equivalent to a

[tex](5+2x)(x-6)=x^{2}[/tex]

Simplify

[tex]x^{2}-7x-30 = 0[/tex]

Solving this we get 10 and -3

Since it is impossible for a square to have a negative side value we can conclude that the value is 10cm

This can then be checked by plugging in 10 as x in our equations and seeing if we get the same a value:

Using square: [tex]10^{2} = 100[/tex]

Using rectangle: [tex](5+2(10))(10-6) = (25)(4) = 100[/tex]

Answer:

25/4

Step-by-step explanation:

Because I say so

Answer:

B. The slope of g(x) is less than the slope of f(x)

Step-by-step explanation:

The slope of f(x) is 2/1 or just 2 and the slope of g(x) is 1/2, less than f(x).

Answer:

B.

Step-by-step explanation:

Answer: [tex]f(g(x))=25x^{2}+20x+2\\[/tex]

Step-by-step explanation:

(f·g)(x) also means f(g(x)).

So basically what we do is take the function g(x) and plug it into f(x) where ever there is the variable x.

[tex]f(g(x))=5(5x^{2}+4x)+2[/tex]

Now distribute the 5.

[tex]f(g(x))=25x^{2}+20x+2[/tex]

This is as simplified the equation gets as it is not factor-able.

Answer:

Step-by-step explanation:

Mary would have a rise of 12 and a run of 4, making her slope, or rate of change, $3 a day.

Julie would have a rise of 19 and a slope of 6, making her slope, or rate of change, $3.17 a day.

Since Julie is raising money at a faster rate, she would get to the goal of $1000 first.

Answer:

Mary would have a rise of 12 and a run of 4, making her slope, or rate of change, $3 a day. Julie would have a rise of 19 and a slope of 6, making her slope, or rate of change, $3.17 a day. Since Julie is raising money at a faster rate, she would get to the goal of $1000 first.

brainliest plzzzz

Answer:

58

Step-by-step explanation:

First, find the interior angle adjacent to the angle GFD.

180 - (34+24) = 180 - 58 = 122

Now, the exterior angle = 180 - 122 = 58

hope this helps

Answer:

28.3

Step-by-step explanation:

Since 1 gram = 353/10000 ounces, then to make the right side 1, you must multiply by the reciprocal, or 10000/353 to make it 1. Then you get 10000/353 grams = 1 ounce. Now, we divide and round to the nearest tenth. This is 28.3 grams.

Answer:

The answer is option D.

Hope this helps.