The largest possible circle is cut out of a square whose side length is 12 feet. What will be the approximate area, in square feet, of the remaining board?

Answer: The cost of 1 liter milk is $ 0.75  and the cost of a loaf of bread is $1.75

Step-by-step explanation:

Let the cost of one liter of milk  is m dollar and the cost of one loaf of bread is b dollar.

Since, the total cost of the 3 liter milk and 5 loaf of bread = $ 11

That is, 3 m + 5 b = 11   ----------(1)

And, the cost of the 4 liter of milk and 4 loaf of bread = $ 10

That is, 4 m + 4 b = 10 -----------(2)

4 × Equation (1),

12 m + 20 b = 44 -----------(3)

3 × Equation (2),

12 m + 12 b = 30 --------------(4)

Equation (3) - Equation (4),

We get, 8 b = 14

⇒ b = 14/8 = 1.75

 By putting the value of b in equation (1)

We get,

3 m = 11 - 1.75×5 ⇒ m = 2.25/3 = 0.75

Thus, the price of one liter of milk = $ 0.75

And, the price of one loaf = $ 1.75

Answer:

The cost of 1 liter milk is $ 0.75  and the cost of a loaf of bread is $1.75

Step-by-step explanation:

Answer:

11 & 8

Step-by-step explanation:

11+8=19

11-8=3

Answer:

The answer is 8 and 11

Step-by-step explanation:

8 + 11 = 19

11 - 8 = 3

Answer:

k = 60

Step-by-step explanation:

2k + 11 is a same side corresponding angle, hence

2k + 11 = 131 ( vertically opposite angles )

subtract 11 from both sides

2k = 120 ( divide both sides by 2 )

k = 60

Answer:

Option C. k = 60

Step-by-step explanation:

There are two lines Z and Y and crossed by a transverse x.

We have to find the value of k.

Since opposite angle of ( 2k + 11 ) is corresponding angle of 131°

so opposite angle of ( 2k + 11 ) will be = (2k + 11)

and corresponding angles are equal in measure.

So 2k + 11 = 131

    2k = 131 - 11

   2k = 120

    k = 60

Option C k = 60 is the answer.

Answer:

F(x) = x+7

g(x) = 1/(x-13)

fog(x) = [1/(x-13)] + 7

The denominator of the fraction cannot be equal to zero.

So, the domain of fog(x) is x∈R~{13}

Step-by-step explanation:

To find the domain of (f•g)(x), substitute g(x) into f(x) and identify any values of x that make the expression undefined.

The function (f•g)(x) represents the composition of two functions, f(x) and g(x). To find the domain of (f•g)(x), we need to determine the values of x for which the composition is defined.

The composition (f•g)(x) can be written as f(g(x)). Substituting g(x)=1/x-13 into f(x)=x+7, we have f(g(x))=(1/x-13)+7.

The domain of (f•g)(x) consists of all the values of x for which the expression (1/x-13)+7 is defined. Since division by zero is not defined, we need to exclude x=0 from the domain. Additionally, we need to exclude the value x=13 because the expression (1/x-13)+7 would lead to division by zero. Therefore, the domain of (f•g)(x) is x≠0, 13.

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Answer:

m = 1575

Step-by-step explanation:

so first you have to simplify the equation: m = 45 (35) because the absolute value of -35 is 35. after that you multiply 45 by 35 and end up with 1575. I am assuming that the 45 is supposed to be multiplied by the absolute value.

Answer: $1200 profit

Step-by-step explanation: $3200 - $2000 = $1200

Answer:

<DAB= 98

Step-by-step explanation:

Remark

I think you are supposed to assume that this is a parallelogram. In that case the two labeled angles are intended to be equal (one of the properties of a parallelogram).

Equation

2x + 36 = 3x - 5                    Add 5 to both sides

2x + 36 + 5 = 3x  - 5 + 5      Combine

2x + 41 = 3x                          Subtract 2x from both sides

2x - 2x + 41 = 3x - 2x           Combine

41 = x

Answer

<DAB = 2x + 36

<DAB = 2*41 + 36

<DAB = 82 + 36

<DAB = 98

Answer:

Option D.

Step-by-step explanation:

Consider the given function

[tex]f(x)=0.25^x+5[/tex]

We need to find the graph of given function.

Substitute x=0 in the given function to find the y-intercept of the function.

[tex]f(0)=0.25^(0)+5[/tex]

[tex]f(0)=1+5[/tex]

[tex]f(0)=6[/tex]

So, y-intercept of the function is 6.

[tex](0.25)^x\rightarrow \infty[/tex] as [tex]x\rightarrow -\infty[/tex]

[tex](0.25)^x\rightarrow 0[/tex] as [tex]x\rightarrow \infty[/tex]

We can concluded that

[tex]f(x)\rightarrow \infty[/tex] as [tex]x\rightarrow -\infty[/tex]

[tex]f(x)\rightarrow 5[/tex] as [tex]x\rightarrow \infty[/tex]

Therefore, the correct option is D.

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The common difference d, between the terms is

d = - 9 - 3 = 3 - 15 = 15 - 27 = - 12

To find the next term in the sequence subtract 12 from the previous term

⇒ - 9 - 12 = - 21 ← is the next term in the sequence

The next term of the sequence after -9 is -21

∴ Common difference of the given problem = (15 - 27) = -12

∴ Each term of the sequence gets decreased by 12

∴ The term after -9 will be ( -9 - 12) = -21

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Ok so factoring quadratics is fairly easy once you get the hang of it

So we have a quadratic [tex]x^2+x-2[/tex]

My first question would be what 2 numbers multiply to -2 and add to +1

the answer is 2 and -1

Second question what 2 values multiply to get [tex]x^2[/tex]

the answer x and x

your factored form would be [tex](x-1)(x+2)[/tex]

This is as far as i can explain there is a whole lot about quadratics to be learned. You have to ask your teacher on more information

Answer:

Answer:

Room temp is 68°F to 77°F

Explanation:

Plug in 20 and 25 for C

20:

#F-32=1.8*20#

#=>F=36+32=68#

25:

#F-32=1.8*25#

#=>F=45+32=77#

Expression: 22.50+5(x)

8 candles: $62.50

Answer:

r=8

Step-by-step explanation:

The formula for slope is

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

Substitute in what we know.

8/3 = (-7-1)/(5-r)

Simplify

8/3 = -8/(5-r)

We can use cross products to help us solve.

8 * (5-r) = 3 * (-8)

divide each side by 8

8/8 * (5-r) = 3 * (-8)/8

5-r = -3

Subtract 5 from each side

5-r-5 = -3-5

-r = -8

Multiply by -1

r = 8

Answer:

$1,846.9

Step-by-step explanation:

Liability Insurance 50/100/25

Where 50/100=$310; and 25=$175. The equation is ($310+$175=$485)

Collision & Comprehensive Premiums

Where Deductible=$250; Collision=$185; and Comprehensive=$102. The equation is ($250+$185+$102=$537)

He gets a 25-29 aged male rating factor of 1.55 for each of them. Liability's equation is $310*1.55=$480.5; and for Collision and Comprehensive the equation is $(185+102)*102=$344.4

Added all up ($485+$537+$480.5+$344.4=$1,846.9)

Answer:

male comedy: 31 male drama: 9

female comedy: 36 female drama: 24

Step-by-step explanation:

add f+m=100 total

31 males for comedy

40 males - 31 males = 9 males for drama

55% chose comedy so 55-31 males = 24 females for comedy

60 total females - 24 for comedy = 36 females for drama

Answer:

                         Dramas              Comedies

Males                   9                             31

Females             36                            24

Step-by-step explanation:

It is given that Lamar surveyed 40 males and 60 females about whether they prefer dramas or comedies.

Total males = 40

Total females = 60

Total people surveyed = 40 + 60 = 100

It is given that 55% of surveyed people preferred comedies.

People preferred comedies = [tex]100\times \frac{55}{100}=55[/tex]

It is given that males who preferred comedies = 31

Males who preferred drama is the difference of number of males and males who preferred comedies.

Males, drama = 40 - 31 = 9

Females who preferred comedies is the difference of people who preferred comedies and males who preferred comedies.

Females, comedies = 55 - 31 = 24

Females who preferred drama is the difference of number of females and females who preferred comedies.

Females, drama = 60 - 24 = 36

Therefore the table can be filled as

                         Dramas              Comedies

Males                   9                             31

Females             36                            24

Answer:

37 pages/hour

Step-by-step explanation:

This is a unit rate problem.

You are trying to find the number of pages per hour.

Divide the number of pages by  the number of hours.

222 pages in 6 hours

(222 pages) / (6 hours) = 37 pages/hour

Answer:

37 pages/hour

Step-by-step explanation:

To find the reading speed, we take the pages read and divide by the time it took.

222 pages/ 6 hours

37 pages/hour

Answer:

P (odd number or number greater than 4) =  4/6  = 2/3

Step-by-step explanation:

The solution set { 1,2,3,4,5,6}

Odd numbers are 1,3,5

Numbers greater than 4 are 5,6

Notice that 5 is repeated.  We can only count it once

There are 4  answers that meet the criteria  (since we can only count 5 once)

P (odd number or number greater than 4) =  4/6  = 2/3

Answer: His smallest age could be 16 years.

Step-by-step explanation:

Since we have given that

Four-fifths of his current age is greater than three-quarters of his age one year from now.

Let his present age be x

So, According to question,

[tex]\frac{4}{5}x>\frac{3}{4}(x+1)[/tex]

Take the equality,

[tex]\frac{4}{5}x=\frac{3}{4}(x+1)\\\\\frac{4}{5}x=\frac{3}{4}x+\frac{3}{4}\\\\\frac{4}{5}x-\frac{3}{4}x=\frac{3}{4}\\\\\frac{16x-15x}{20}=\frac{3}{4}\\\\\frac{x}{20}=\frac{3}{4}\\\\x=\frac{3\times 20}{4}\\\\x=15[/tex]

So, [tex]x>15[/tex]

Hence, Nearest and smallest integer greater than 15 is 16 .

Therefore, His smallest age could be 16 years.

Answer:

Answer: His smallest age could be 16 years.

Step-by-step explanation:

Since we have given that

Four-fifths of his current age is greater than three-quarters of his age one year from now.

Let his present age be x

So, According to question,

Take the equality,

So,

Hence, Nearest and smallest integer greater than 15 is 16 .

Therefore, His smallest age could be 16 years.

Answer:

A y = -x+2

Step-by-step explanation:

To find the slope of the line m we use the formula

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

         = (-9--7)/(4-2)

         = (-9+7)/(4-2)

        = -2/2

        = -1

When lines are parallel, the slopes are the same.  We need to find a line with slope of -1

y = -1x+2 is written in the form y =mx+b where m is the slope

m=-1  so the slope is -1

This line has the same slope so it is parallel to the line above.

Answer:

would be A

Step-by-step explanation:

SLOPE HAS TO BE -1

Answer:

In the attachment.

Step-by-step explanation:

Rewrite [tex]x\geq-3y-6[/tex] as a [tex]y\geq -\frac{1}{3}x-2[/tex]. Then mark each set with different color and take the intersection of these.

Answer:

w=-4

Step-by-step explanation:

w-20=6w

-20=5w

-4=w

Answer:

[tex]\frac{1}{72}[/tex]

Step-by-step explanation:

We have been given that there are total 9 people who entered the drawing competition. There are 3 prizes to be distributed to the winners. The total number of ways that 3 prizes can be awarded to the 9 people can be determined as 9*8*7 = 504.

The total number of ways in which I win the first prize and my mom wins the second prize would be 1*1*7 = 7.

Therefore, the probability that I win the first prize and my mom wins the second prize would be: [tex]\frac{7}{504}=\frac{1}{72}[/tex]

Answer:

it’s 7

Step-by-step explanation:

Answer:

im positive its b please give brainliest

Step-by-step explanation:

Answer:

I think the answer is 680%

Answer:

16 pounds

Step-by-step explanation:

The ratio of no. of packages of red pepper to no. of packages of green pepper is given 8 is to 13.

So, atleast 8 packages of red pepper are sold

Therefore, least possible weight of red peppers in the bin = 2×8 = 16 pounds.

The least possible weight of red peppers in a supermarket bin with a ratio of 8 to 13 of red to green peppers, where each package weighs 2 pounds, is 16 pounds.

To find the least possible weight, we assume the smallest number of packages that maintain the ratio. Multiplying both numbers of the ratio by 2 pounds gives us the weight of the red and green peppers, but since we want the least possible weight of red peppers, we'll only calculate for red.

Therefore, if we have 8 packages of red peppers, each weighing 2 pounds, the calculation would be:

Answer:

C) Constantinople was a city that was neutral during the time of the First Crusade.

Answer:

the eprson is right it is c

Step-by-step explanation:

Answer:

First Answer C

Second andswer B

Step-by-step explanation:

Left Panel

Givens

In a previous question we have found 2 things.

If two of the sides are 9 then in this case only we can use the Pythagorean theorem to find the third side. That is because the the base and height meet at right angles.

a^2 + b^2 = c^2

9^2 + 9^2 = c^2

81 + 81 = c^2  

c^2 = 162

sqrt(c^2) =sqrt(162)

c = 12.71

Perimeter

The perimeter = 9 + 9 + 12.71 = 30.7

Answer C

Answer B

Answer:

Neither

Step-by-step explanation:

y = 5/3 x + 3, this line has slope = 5/3

20x + 12y = 12

12y = -20x + 12

y = -20/12 x + 1

y = - 5/3 x + 1, this line has slope = - 5/3

Parralel ; same slopes

Perpendicular; slopes are opposite and reciprocal

So answer is neither pair parallel nor perpendicular

The pair of equations y = 5/3x + 3 and 20x + 12y = 12 are parallel because they both have the same slope of 5/3 once the second equation is put into slope-intercept form.

To determine if the pair of equations y = 5/3x + 3 and 20x + 12y = 12 are parallel, perpendicular, or neither, we must first put both equations into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. The equation y = 5/3x + 3 is already in slope-intercept form with a slope of 5/3. To convert the second equation into slope-intercept form, we can rewrite it as 12y = -20x + 12, and then y = (-20/12)x + 1, which simplifies to y = -5/3x + 1.

Now, comparing the slopes of these two lines, we see that both slopes are equal, meaning the lines are parallel to each other since they have the same slope but different y-intercepts.

Answer: 18.8%

Step-by-step explanation:

   [tex]\dfrac{\text{quantity of APPLE pies}}{\text{quantity ot TOTAL pies}}[/tex]

[tex]=\dfrac{3}{3+2+5+6}[/tex]

[tex]=\dfrac{3}{16}[/tex]

= 0.1875

= 18.75%

≈ 18.8%   rounded to one decimal place