Consider the Graph Choose True or False for each statement.

Answer:

Step-by-step explanation:

Let's call hens h and ducks d. The first algebraic equation says that 6 hens (6h) plus (+) 1 duck (1d) cost (=) 40.

The second algebraic equations says that 4 hens (4h) plus (+) 3 ducks (3d) cost (=) 36.

The system is

6h + 1d = 40

4h + 3d = 36

The best way to go about this is to solve it by substitution since we have a 1d in the first equation. We will solve that equation for d since that makes the most sense algebraically. Doing that,

1d = 40 - 6h.

Now that we know what d equals, we can sub it into the second equation where we see a d. In order,

4h + 3d = 36 becomes

4h + 3(40 - 6h) = 36 and then simplify. By substituting into the second equation we eliminated one of the variables. You can only have 1 unknown in a single equation, and now we do!

4h + 120 - 18h = 36 and

-14h = -84 so

h = 6.

That means that each hen costs $6. Since the cost of a duck is found in the bold print equation above, we will sub in a 6 for h to solve for d:

1d = 40 - 6(6) and

d = 40 - 36 so

d = 4.

That means that each duck costs $4.

Answer: independent variables cause the effect measured in the dependent variables

Step-by-step explanation: In a causal - comparative study, the dependent variables refers to the variable whose changes is being measured or observed. The changes or alteration of the dependent variable is induced by the different values of the independent variable. In causal - comparative study, the different independent variables is assumed to have a direct impact on the output or values of the dependent variable which is measured by the experimenter. Therefore, the independent variable does not change, but causes the observed changes noticed in the dependent variable.

Answer:

245.04 cm²

Step-by-step explanation:

Use the formula for the surface area of a cylinder: 2[tex]\pi[/tex]r² + 2[tex]\pi[/tex]rh

Now, we can plug in the values:

2[tex]\pi[/tex](3)² + 2[tex]\pi[/tex](3)(10)

18[tex]\pi[/tex] + 60[tex]\pi[/tex] = 245.04

The total surface area of the can is 244.92 square centimeters which is closest to 245.04 square centimeters.

We have a can in the shape of a cylinder has a diameter of 6 centimeters and a height of 10 centimeters.

We have to determine total surface area of the can in square centimeters.

The total surface area of a cylinder with radius 'r' and height 'h' is given by -

A = 2πr(h + r)

According to the question, we have -

diameter of can = 6 cm

Then, the radius will be (r) = 6/2 = 3 cm

Height of can (h) = 10 cm

Substituting the values, we get -

A = 2 x 3.14 x 3 (10 + 3)

A = 2 x 3.14 x 3 x 13

A = 6 x 13 x 3.14

A = 78 x 3.14

A = 244.92 square centimeters.

Hence, the total surface area of the can is 244.92 square centimeters which is closest to 245.04 square centimeters.

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Answer:

0.46 each

Step-by-step explanation:

Answer:

£0.46 per pen

Step-by-step explanation:

We need to find the unit rate, or price per pen.

Therefore, we can divide the price by the number of pens.

price / number of pens

It costs £2.76 for 6 pens.

price= £2.76

number of pens = 6 pens

£2.76 / 6 pens

Divide 2.76 by 6

£0.46 / pen

The price per pen is  £ 0.46

Answer:

Unbounded

Step-by-step explanation:

Let's define the group of options a little:

Infeasibility, we have that a problem is unfeasible if there is not a solution that satisfies all the restrictions. Therefore this option is not.

Unbounded, we have a problem that has no limits if the objective function can be improved indefinitely without violating the constraints and limits, therefore this is the correct answer.

Infiniteness and semi-optimality, does not comply with what the situation exposes.

Answer:

336km^2

Step-by-step explanation:

There are 2 triangles and 3 squares in this 3D shape.

To find the surface area of this shape, you need to find the area add all the 5 shapes (height ✖️length) and add them.

area of the triangle: 8✖️9/2=36 +36<-- 2nd triangle=72km^2

area of a square: 11✖️8=88✖️3=264km^2

264+72=336km^2

Answer:

1. Difference

2. liter

3. 10,000

Step-by-step explanation:

trust me bud i just did it :)

A megaliter is 10,000 times larger than a hectoliter

The kiloliter is 10³ times greater than a liter while the hectoliter is 10⁴ times greater than centiliter.

An equation is an expression that shows the relationship between two or more numbers and variables.

1 mega liter = 10⁶ Liter

1 hectoliter = 10² Liter.

Hence, a megaliter is 10,000 (10⁶/10²) times larger than a hectoliter

The kiloliter is 10³ times greater than a liter while the hectoliter is 10⁴ times greater than centiliter.

Uncle Reynald's age is given by the expression 3(12 + 5) - 4

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Answer:

-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

Answer:

the answer is (x+3)(x-1).

hope u get it....

Answer:

B

Step-by-step explanation:

x^2 +3x -x -3 = x(x+3) -(x+3)=(x-1)(x+3)

Answer:

i would say b

Step-by-step explanation: if they all slept 4 hours a night then all 9 would have a total of 36 and a night would be 1 so 36 to 1

Answer:

A. Jorge distributed incorrectly.

Step-by-step explanation:

4x - (x + 20) + 6 = 2(3x + 8)

4x - x - 20 + 6 = 6x + 16

3x - 14 = 6x + 16

3x - 6x = 16 + 14

-3x = 30

x = -10

For Step 1 of Jorge's work, he writes "4x - x + 2 + 6 = 6x + 16", instead of "4x - x - 20 + 6 = 6x + 16". That is the error that messes up the rest of his calculations.

What he did wrong does not apply to addition, subtraction, multiplication, or division, so we can eliminate choices C and D. Jorge isn't combining like terms, either, so we can eliminate choice B. What Jorge did wrong was that he distributed incorrectly, so that is your answer: A. Jorge distributed incorrectly.

Hope this helps!

Answer:

A is correct and thank you to the other person who answered i didn’t fail

Step-by-step explanation:

just took the quiz on edge

Answer:

Sample Response:

No, he is not correct. Jay drew a line through the origin, but the line did not connect all three points. Not all the points lie on the line, which is necessary for a proportional relationship.

alternative response:

No. He is not correct, this graph does not represent a proportional relationship. The graph of a proportional relationship must be a straight line connecting all points and passing through the origin.. as well as not even connecting all three points on the graph.

In a directly proportional relationship, increasing one variable will increase another. It is not a proportional relationship graph.

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

 p = kq

where k is some constant number called the constant of proportionality.

This directly proportional relationship between p and q is written as

 p∝q  where that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

Now let m and n be two variables.

Then m and n are said to be inversely proportional to each other if

[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]

(both are equal)

where c is a constant number called the constant of proportionality.

This inversely proportional relationship is denoted by

[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]

As visible, increasing one variable will decrease the other variable if both are inversely proportional.

A proportional relationship is a relationship in which the value of one variable changes with the change in another variable. This change is always in a fixed ratio. Thus, when the relationship is plotted on the graph it creates a straight line and all the data points lie on this line.

Since in the graph made by Jay the line is not able to connect all the data points, it is not a proportional relationship graph.

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Answer:

$186.75

Step-by-step explanation:

In order to solve this, we first need to convert the percentage into a decimal which can be done by dividing it by 100 like so

24.5 % 100 = 0.245

Now that we have the decimal form of the percentage we add a 1 to it and multiply that by $150 in order to get the total amount that is owed after two weeks .... without the 1 added it would only give us the amount of interest that needs to be paid.

$150 * 1.245 = $186.75

Therefore after two weeks you would need to pay a total of $186.75

Answer:

176 books

Step-by-step explanation:

Let's call the number of fiction books 'F', and the number of non-fiction books 'N'. Then, we can write the following system of equations:

eq1:

[tex]F = 3N[/tex]

eq2:

[tex]2*(F - 122) = (N - 24)[/tex]

[tex]2F - 244 = N - 24[/tex]

[tex]2F = N + 220[/tex]

Using the 'F' value from the first equation, we have:

[tex]6N = N + 220[/tex]

[tex]5N = 220[/tex]

[tex]N = 44\ books[/tex]

[tex]F = 3N = 132\ books[/tex]

The total number of books is:

[tex]F + N = 132 + 44 = 176\ books[/tex]

Answer:

Hypotenuse: 100

Segment Adjacent to the leg: 36

x=60

Step-by-step explanation:

I submitted and it was correct

The altitude of the triangle is approximately 76.81 units.

To find the altitude of the triangle, we can use the given information:

Hypotenuse: 100

Segment adjacent to the leg: 36

Let's denote the altitude as 'h' and the other leg of the right triangle as 'x'.

Using the Pythagorean theorem, we can relate the three sides of the triangle:

[tex]h^2 + x^2 = 100^2[/tex]

We also know that the adjacent segment (36) plus the other leg (x) equals the hypotenuse (100):

36 + x = 100

From the second equation, we can solve for x:

x = 100 - 36

x = 64

Now, substitute the value of x into the Pythagorean theorem equation to solve for h:

[tex]h^2 + 64^2 = 100^2\\\\h^2 + 4096 = 10000\\\\h^2 = 10000 - 4096\\\\h^2 = 5904[/tex]

Taking the square root of both sides to solve for h:

h = √5904

h ≈ 76.81

Therefore, the altitude of the triangle is approximately 76.81.

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Answer:

D. x ≤ 3

Step-by-step explanation:

26 + 13x ≤ 65

13x ≤ 65-26

13x ≤ 39

13x ≤ 39 ÷13

x ≤ 3

Answer:

3/50

Step-by-step explanation:

for one its 3/10

for the other one is 3/10 too bc u replaced it

so u multiply 3/10 by 3/10 which is 6/100 which is simplify to 3/50

hope this helps

Answer:

2d + 35

Step-by-step explanation:

2 per dog (d) plus an additional 35 treats = 2d + 35

Answer:

b

Step-by-step explanation:

Answer:

[tex] \boxed{\sf (c) \ 9a - 8 {a}^{2}} [/tex]

Step-by-step explanation:

[tex] \sf Simplify \: the \: following: \\ \sf \implies 3a - 2a \times 4a + 6a \\ \\ \sf - 2a \times 4a = - 2 {a}^{2} \times 4 : \\ \sf \implies \boxed{ \sf - 2 {a}^{2} \times 4} + 3a + 6a \\ \\ \sf - 2 \times 4 = - 8 : \\ \sf \implies \boxed{ \sf- 8} {a}^{2} + 3a + 6a \\ \\ \sf 3a + 6a = 9a : \\ \sf \implies 9a - 8 {a}^{2} [/tex]

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The final expression of the expression 3a - (2a x 4a) + 6a is

9a - 8a².
Option C is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

3x + 5 + 3 is an expression.

4x = 6 is an expression.

We have,

3a - (2a x 4a) + 6a

3a - 8a² + 6a

Combine like terms.

9a - 8a²

We can also write,

-8a² + 9a

There is no common factor or like terms to simplify further.

So,

9a - 8a²

Thus,

The final expression of the expression 3a - (2a x 4a) + 6a is

9a - 8a².
Option C is the correct answer.

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Answer:

Records: $6000

Grass Seed: $4000

Toys: $3000

Food: $11000

Step-by-step explanation:

We have to use the number of degrees in each category in comparison to the total number of degrees in a circle, 360 degrees. Records is 90 degrees, so 90:360 = 1:4 = 1/4. So 1/4 of the total pie is $6000. For food, we add the other sub-category's costs, and subtract that from $24000.

Answer:

Step-by-step explanation:

1. Toys = [tex] \frac{45}{360} \times 24000 = 3000[/tex]

2. Grass seed[tex] = \frac{60}{360 } \times 24000 = 4000[/tex]

3. Records = [tex] \frac{90}{360} \times 24000 = 6000[/tex]

4. Food = 24000 - ( 3000+4000+6000)

= 24000 - 13000

= 11000

Hope this helps...

Best regards!!

Answer: 28

Step-by-step explanation:  √98 x √2 = √196

√196 = 14

2×14= 28

Answer:

4) 28. I don't know how to explain it...

Answer: It would take 40 minutes to mow a lawn with a mower containing 12-inch wide blades.

Step-by-step explanation:

If the time taken by 14 inches wide is one hour then the blade of 12 inches wide will take 1 hour 17 minutes to mow a lawn.

The width of something is the measurement of one side of a body. It is generally less than length of that body or shape.

We have been given time of 1 hour if blade is 14 inches wide and we have to calculate time taken by 12 inches wide blade:

It will be as 14/12* 1 hour

=14/12

=1.167

=1.17 hour

Hence the time taken by the blade of 12 inches wide will be 1 hour and 17 minutes.

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This is a bit hard to fill in the blanks for, so I'm just gonna explain what is happening in the proof...

First, the proof used If parallel, then alternate interior angles are congruent.  Then it uses vertical angles are congruent.  Then it uses C as a midpoint to get two segments congruent.  Then you can get that the triangles are congruent by Angle, Side, Angle.  The with CPCTC(Corresponding Parts of Congruent Triangles Congruent) to get BC congruent to DC.

Hope it helps <3

Answer:

Step-by-step explanation:

1) AB // DE                  Given

2) AC = CE                 Definition of midpoint

3) ∠ABC = ∠EDC      Alternate interior angles are congruent

4)∠ACB = ∠ECD       Vertically opposite angles are congruent

5) ΔACB ≅ ΔECD      SAA Congruent of triangles

6) BC ≅ DC                CPCT --> corresponding Part of Congruent Triangle

Answer:

Step-by-step explanation:

(0,5), (1,0)

(0-5)/(1-0)= -5/1= -5

y - 0 = -5(x - 1)

y = -5x + 5

Answer:

No

Step-by-step explanation:

For shapes to be similar, their ratios of length-to-length and width-to-width must be the same. When you divide the larger length by the smaller length and the larger width by the smaller width, do you get the same number? No, so these rectangles are not similar.

Answer:

Not similar

Step-by-step explanation:

Well let’s find the areas first.

My garden)

12*8

=96

Freind’s garden)

50*10

=500

The two gardens are not similar whatsoever.

Thus,

the two gardens are not similar.

Hope this helps :)

Answer:

m = -13/10

Step-by-step explanation:

Madison, imagine that you're moving from (-6, 6) to (4, -7) with interest in knowing how much x (the run) and y (the rise) change.

In the first instance, x increases by 10 from -6 and +4.  Simultaneously, y decreases by 13 from 6 to -7.

Thus the slope is m = rise / run = m = -13/10

Answer:

Hello There. ☆°~-----__▪●▪__-----~°☆

If points A, D and C lie on a straight line, then angles ∠ADB and ∠BDC are supplementary angles and

m\angle ADB+m\angle BDC=180^{\circ}.

1. If you move point B right from the initial position, then m∠ADB increases and m∠BDC decreases, but m\angle ADB+m\angle BDC=180^{\circ}.

2. If you move point B left from the initial position, then m∠ADB decreases and m∠BDC increases, but m\angle ADB+m\angle &#10;BDC=180^{\circ}.

3. When point B lie on the line ADC, then:

a. Point B lies on the right hand from point D: m\angle ADB=180^{\circ} \\m\angle BDC=0^{\circ} ;

b. Point B lies on the left hand from point D: m\angle ADB=0^{\circ} \\m\angle BDC=180^{\circ} .

4. When point B is reflected about the line ADC situation is the same as in parts 1 and 2.

Hope It Helps!~ ♡

ItsNobody~ ☆

Answer:

The sum of m∠ADB and m∠BDC remains the same: m∠ADB + m∠BDC = 180°.

Step-by-step explanation:

PLATO answer.

Answer:

El libro que Renzo está leyendo tiene 300 páginas.

Step-by-step explanation:

Dado que Renzo ha leído el 20 por ciento del libro de cuentos, en principio le queda leer el 80 por ciento de éste. Ahora bien, de las páginas restantes (es decir, de ese 80 por ciento) ha leído 1/4 parte. Por ende, ha leído un 20 por ciento adicional de dicho libro (80 /4 x 1 = 20). En conclusión, Renzo lleva leído un 40 por ciento del libro, con lo cual le resta leer un 60 por ciento, que está formado por 180 páginas. Para determinar cuántas páginas tiene el libro, entonces, hay que realizar el siguiente cálculo:

180 / 60 = 3 (valor del 1 por ciento del libro)

3 x 100 = 300 (valor del 100 por ciento del libro)

Por lo tanto, el libro que Renzo está leyendo posee 300 páginas.

Answer:

A. fifth test = 90; sixth test = 86

Answer:

Step-by-step explanation:

The graph choices have not been posted.

There is also a doubt as to what is really wanted, is it

A. f(x) = 100(0.5)^x - 1

or

B. f(x) = 100(0.5)^(x - 1)

I have included a graph for each. Feel free to make a choice between the two, A is red, and B is blue.

Answer:

it's B

Step-by-step explanation:

i literally just did it on ed