A rectangular garden is divided into four sections. Some dimensions are shown in the diagram, and the distance from point A to C is 16ft. What is the distance from point A to B?

A. 8ft
B. 7ft
C. 9ft
D. 6ft

The equation of the line passing through (3, 6) and (6, 0) is 2x + y = 12

An equation shows how two or more numbers and variables are related to each other.

The standard linear equation is:

y = mx + b

Where m is the rate of change and b is the y intercept

The line passes through (3, 6) and (6, 0). Hence:

y - 6 = [(0 - 6)/(6 - 3)](x - 3)

y - 6 = -2(x - 3)

y = -2x + 12

2x + y = 12

The equation of the line is 2x + y = 12

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The number of bottles of mustard they went through is given by the equation A = 1/6 of the bottle

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of bottles of mustard be represented as A

Now , the equation will be

The amount of ketchup used by Camille's Snack Shack = ( 1/4 ) of the bottle

Now , the amount of bottle of mustard used = ( 2/3 ) of the bottle of ketchup

Substituting the values in the equation , we get

The number of bottles of mustard used A = ( 2/3 ) of ( 1/4 ) of the bottle

On simplifying the equation , we get

The number of bottles of mustard used A = ( 2/3 ) x ( 1/4 )

The number of bottles of mustard used A = ( 1/6 ) of the bottle

Therefore , the value of A is 1/6

Hence , the number of bottles is 1/6

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Answer:

Step-by-step explanation:

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Answer:

The area left is equal to about 2686 [tex]ft^{2}[/tex] (if we will round to the nearest whole number).

Step-by-step explanation:

The area of the backyard that will be left will equal to the area of his backyard minus the area of the circular pool. So we can write it as...

The area left = (area of the backyard) - (area of the pool)

The area left = [tex]60 * 50 - \pi (20 / 2)^{2}[/tex]

The area left = [tex]3000 - 100\pi[/tex]

The area left ≅ 2686 [tex]ft^{2}[/tex]

On interchanging the logical AND operator with logical OR operator and zeroes with ones,

(B'+C).A = (B'.C) + A

Now, According to the question:

Concept:

Duality theorem states that the dual of the Boolean function is obtained by interchanging the logical AND operator with logical OR operator and zeroes with ones. For every Boolean function, there will be a corresponding Dual function.

Calculation:

On interchanging the logical AND operator with logical OR operator and zeroes with ones,

(B'+C).A = (B'.C) + A

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The complete question is this:

Calculate the dual of the Boolean expression (B' + C).A

Answer:

A/30 degrees

Step-by-step explanation:

Just took the test and passed it

Answer:

A

Step-by-step explanation:

lol

If frank weighs 160 lbs gains 2 lbs a week, john weighs 208 lbs and loses 3 lbs a week.

a. When they will weigh the same is  9.6 dieting days and the amount is 179.2lbs.

b. Based on the calculation both of them has the same amount of weight.

a. Weight

Let d represent the number of dieting days for this happen.

Since Frank gains 2 lb a day or a total of 2d lbs and John loses 3 lb a day for a total of 3d lbs

So,

John's weight = Frank's weight

Hence,

208 - 3d = 160 + 2d

Combine like terms

208 - 160 = 2d + 3d

48 = 5d

Divide both side by 5d

d = 48/5

d = 9.6 dieting days

The amount the weigh

Using John equation

Weigh = 208 - 3(9.6)

Weigh = 208 - 28.8

Weigh = 179.2 lbs

b. The amount they both weigh is the same as John weigh 179.2ilb and Frank as weigh the same.

Using Frank's equation

Weigh = 160 + 2(9.6)

Weigh = 160 + 19.2

Weigh = 179.2 lbs

Therefore when they will weigh the same is  9.6 dieting days and the amount is 179.2lbs.

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Answer:

D and E, or 56 and 60

Step-by-step explanation:

The inequality says the value must be greater than or equal to 50, so that can take out the first two (0 and 50), since they do not fit this criteria. 50.5 also does not work, because the club cannot sell half a candle. Therefor, the last two choices are the only ones that make sense in the context of the situation.

Answer:

the answer is D and E, or 56 and 60 :D

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

-3+7=4

4-2=2

Answer:

2

Step-by-step explanation:

-3 is a negative number so,

-3 + 7 is 4.

Then, 4 - 2 is 2.

So the answer is 2.

Mario make total $132.1 from the tip of his two customers.

The amount of tip obtained = total bill × percentage of the bill

Put the respective values in equation depending on the customer A or B

Tip from customer A

Tip = 430.50 × 20%

Now find percentage by multiplication and division on Right Hand Side of the equation

Tip = $86.1

Tip from customer B

Tip = 184 × 25%

Again perform multiplication and division on Right Hand Side of the equation

Tip = $46

Total tip earned = 86.1 + 46

Simply add the two numbers on Right Hand Side of the equation to find the total tip earned

Total tip earned = $132.1

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Answer:

  1/2

Step-by-step explanation:

You want to know the frequency of the function f(x) = 3cos(πx) -2.

For frequency f, the basic function (before vertical scaling or translation) will be written ...

  f(x) = cos(2πfx)

That is, we can find the frequency by comparing the arguments of the cosine function:

  πx = 2πfx

  f = (πx)/(2πx) = 1/2

The frequency of the function is 1/2.

__

Additional comment

You will notice in the attached graph that there is 1/2 period in 1 horizontal unit. A full period takes 2 horizontal units, so the frequency is ...

  (1 period)/(2 units) = 1/2 periods/unit.

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Point C is tangent to the circle and will be a right angle which is 90 degrees.

The three inside angles of a triangle need to equal 180.

X = 180-90-64 = 26

X = 26 degrees

In the graph, there is a strong positive relationship between the variables. Option D

We know that the term correlation has to do with how two or more variables are related. The way that the variables are related can be seen from the graph that is shown.

There is a strong positive correlation if we notice that the straight-line of the graph is moving in the positive direction. As we can see from the graph that we have, there is a positive correlation among the variables.

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Answer:

The area of the circle is [tex]1\pi[/tex] or approximately 3.14 [tex]km^2[/tex]

Step-by-step explanation:

The formula to find the area of a circle is [tex]\pi r^2[/tex], where [tex]r[/tex] represents the radius of the circle. In this case, the area would be [tex]1^2*\pi[/tex] = [tex]\pi[/tex] ≈ 3.14 [tex]km^2[/tex].

The number of balloons out of 48 that will be red would be = 3/435

The number of balloons thrown in a water-ballon fight = 6,960 balloons.

The number of red balloons =870 balloons.

The number of balloons out of 48 that would be red; divide through by two.

= 48/6,960

= 24/3,480

= 12/1740

= 6/870

= 3/435

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In a reaction the amount f a substance which react with another substance is known as it's equivalent.

The definition of equivalent is "weight in grams of a substance that displaces or combines with one gram of hydrogen."

It is an important part of chemistry and comes under stoichiometry. In every reaction there is a reactant which forms the suitable product and the amount of that is calculated using stoichiometry.

The mole ratio is a typical sort of stoichiometric relationship that compares the amounts in moles of any two components in a chemical process.

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The area of the kite is 90 sq.m.

Calculation

Area of the kite (quadrilateral) = [tex]\frac{product of their diagonal}{2}[/tex] = [tex]\frac{pq}{2}[/tex]

= [tex]\frac{12m*15m}{2}[/tex] = [tex]\frac{180 sq.m}{2}[/tex] = 90 sq.m.

What is the geometry of a kite?

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It is A because it is only $40.000 so therefore it is A.

The number of coins of nickels and quarters will be 27 and 13, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Tanner has $4.60 in nickels and quarters. If he has 14 more nickels than quarters.

Let 'x' be the number of nickels and 'y' be the number of quarters. Then the equations are given as,

x = y + 14                               ....1

0.05x + 0.25y = 4.60             ....2

From equations 1 and 2, then we have

0.05(y + 14) + 0.25y = 1

0.05y + 0.70 + 0.25y = 4.60

0.30y = 3.9

y = 13

Then the value of 'x' is given as,

x = 13 + 14

x = 27

The number of coins of nickels and quarters will be 27 and 13, respectively.

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The left shift required to translate from D to D" is 6 units and scale factor for dilation of D" from D' is 2.5.

The scale factor is a type of measurement which is used to increase or decrease the size of an object keeping its shape as the same. It can be determined by taking the ratio of the new and the original dimension of the object.

Compare the corresponding vertex of the given figures.

It is given as,

(-5, 0) → (1, 0)

It can be concluded that the graph of D is shifted (1 - (-5)) = 6 units towards left.

The scale factor is given as,

Length of side of D" ÷ Length of side of D'

⇒ 10 ÷ 4 = 2.5

Hence, the required shift and the scale factor are obtained as 6 units and 2.5 respectively.

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When f(x) = x - 5 and g(x) = 2x + 3, the value of f(g(1)) is 0 and the value of g(f (2)) is -2.

Mathematics encompasses the study of numbers, formulas and related structures, shapes and the spaces in which they exist, quantities and their variations, and spaces in which they exist. A function is an association between a set of inputs, each of which has an output. Simply described, a function is a relationship between inputs and outputs, where each input results in a single, distinct output. Each function has a domain and a codomain, often known as a scope. Typically, the letter f is used to denote functions (x). is the input. There are four different categories of functions. one-to-one functions, many-to-one functions, on functions, one-to-one functions, and within functions

given

a) f(g(1)  

g(1) = 5  and f(g(1)) = 0

b) g(f (2))

f(2) = -3

g(f (2)) = -2

so When f(x) = x - 5 and g(x) = 2x + 3, the value of f(g(1)) is 0 and the value of g(f (2)) is -2.

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Answer:

Mean= 23

Median= 29

Step-by-step explanation:

The third side of a triangle can be found using the Pythagorean Theorem.

The Pythagorean Theorem states that for a triangle with sides of length a, b, and c (with c being the length of the unknown side) a^2 + b^2 = c^2.

To find the third side of a triangle that is not right, first calculate the lengths of the two known sides. Let's say the lengths of the two known sides are a = 5 and b = 12.

Next, plug the values into the Pythagorean Theorem and solve for c.

[tex]a^2 + b^2 = c^2[/tex]

[tex](5)^2 + (12)^2 = c^2 \\25 + 144 = c^2[/tex]

[tex]169 = c^2[/tex]

Finally, take the square root of both sides to solve for c.

sqrt(169) = c

13 = c

Therefore, the length of the third side is 13.

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The slope of the line that passes through the graph is 3

From the graph, the points are given as

(0, 0)  and (1, 3)

Rewrite the above points properly

So, we have the following ordered pairs

(x, y) = (0, 0)  and (1, 3)

The slope of the line is then calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (0, 0)  and (1, 3)

Substitute the known values in the above equation

So, we have the following equation

Slope = (3 - 0)/(1 - 0)

Evaluate

Slope = 3

Hence, the slope of the line is 3

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There are 37.8 ounces of almonds in a 42-ounce container of the company's mixed nuts.

We know that the company uses the same ratio of different types of nuts in each container. Therefore, we can use the ratio of peanuts to the total weight in the 20-ounce container to find the weight of almonds in the 42-ounce container.

In the 20-ounce container, 11 ounces of the nuts are peanuts. Therefore, 20-11 = 9 ounces of the nuts are not peanuts.

To find the weight of almonds in the 42-ounce container, we can use the same proportion of non-peanut nuts to the total weight. So,

9 ounces / 20 ounces = x / 42 ounces

Cross-multiplying we get:

9 × 42 ounces = 20 × x

x = 37.8 ounces

So, there are 37.8 ounces of almonds in a 42-ounce container of the company's mixed nuts.

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The ladder would reach a distance of 6 feet up the wall.

This is a theorem that can be used to determine the unknown side of a right angled triangle. It is given as:

/hyp/^2 = /opp/^2 + /adj/^2

In the given question, the ladder is placed a against a vertical wall of a building. Given that the bottom of the ladder is 8 feet to the base of the building. Therefore this is would form a right angled triangle, such that the Pythagorean theorem can be applied.

So that, let the height of the ladder on the wall be represented by t. Then;

10^2 = t^2 + 8^2

100 = t^2 + 64

t^2 = 100 -64

     = 36

t = (36)^1/2

t = 6 feet

Thus the ladder is placed 6 feet up the vertical wall.

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1)

a. 4

b. 9

c. -7

d. -23

2)

a. F

b. F

c. T

d. F

3)

a. 100 -66 =34

b. 78 x 3 = 234

c. 36 + 24 = 60

d. 4 x 17 x 3 = 204

21)

a. -9 + (-12)

= - 9 - 12

= - 21

b. -17 + (3)

= -17 + 3

= - 14

c. 24 + ( -11 )

= 24 - 11

= 13

d. - 15 + (-10)

= - 15 - 10

= - 25

e. - 63 + ( -42) + 8

= - 63 - 42 + 8

= - 97

f. 101 + ( -11 ) + ( -100 )

= 101 -11 - 100

= - 10

If Cherri brought $2100 computer on an installment plan and made $400 down payment and monthly payment for $79. 50 for the next two years, then the interest amount is $208 .

the cost of the computer is = $2100 ;

the amount paid as down payment is = $400 ;

the amount that will be paid in monthly installment is = $79.50 ;

the time for the loan is = 24 months ;

So , the amount paid as installment is 24 months is = [tex]24 \times79.50[/tex]

= $1908 .

So , the total amount paid by Cherri with installment plan is = [tex]\$1908+\$400[/tex]

= $2308 .

So , the interest amount paid is = [tex]\$2308-\$2100[/tex]

= $208 .

Therefore , Cherri will pay $208 as interest .

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Answer:

am not really sure but ig the answer is B

Step-by-step explanation:

Plz help timed test I’ll give extra points

Answer:

look at the picture I sent