Hi, can you please help with math, I think the exercise solving is probably with x and y. Thank u very much:)

1. Two identical jars of cottage cheese and 3 buns of the same type cost 10 euros. A jar of cottage cheese is 2 euros more expensive than a bun. How much is a jar of cottage cheese and how much is a bun?

Again, Thank u!​

Answers

Answer 1

Answer:

Cost of jar of cottage cheese = € 3.20

Cost of a bun = € 1.20

Step-by-step explanation:

Framing and solving system of linear equations:

Let the cost of 1 jar of cottage cheese = x

                              Let the cost of 1 bun = y

           Cost of 2 jar of cottage cheese  = 2x

                                      Cost of 3 bun    = 3y

Cost of 2 jars of cottage cheese + cost of 3 buns = € 10

         2x + 3y = 10 ------------------(I)

Cost of a jar of cottage cheese = 2 + cost of a bun

               x = 2 + y ----------------(II)

Substitute x = 2 + y in equation (I),

           2*(2+y) + 3y = 10

Use distributive property,

            2*2 + 2*y + 3y = 10

               4 + 2y + 3y = 10

Combine like terms,

                      4 + 5y = 10

Subtract 4 from both sides,

                           5y = 10 - 4

                           5y = 6

Divide both sides by 5

                             y = 6 ÷ 5

                             [tex]\boxed{\bf y = 1.20}[/tex]

Substitute y = 1.2 in equation (II),

        x = 2 + 1.2

        [tex]\boxed{\bf x = 3.20}[/tex]

Answer 2

Answer:

A jar of cottage cheese is €3.20

A bun is €1.20

Step-by-step explanation:

Let

x = Cost of a jar of cottage cheese (euros)

y = Cost of a bun (euros)


Step I:

Translate the statements mathematically:
     2 jars of cottage cheese cost = [tex]2x[/tex] euros

                                  3 buns cost  = [tex]3y[/tex] euros      
                 ∴ Total cost = [tex]2x + 3y = 10[/tex] euros        

A jar of cottage cheese is 2 euros more expensive than a bun: [tex]x = 2 + y[/tex]


Step II:

A system of linear simultaneous equations:

                                         [tex]x = 2 + y[/tex] ——(equation i)

                               [tex]2x + 3y = 10[/tex] ———-(equation ii)

Step III:

Solve the linear simultaneous equations either by the substitution, elimination or graphical method


Substitution method:

Substitute (equation i) into (equation ii) and solve for y:

[tex]2(2 + y) + 3y = 10[/tex]

Expand the parenthesis and make y the subject of the equation:

[tex]4 + 2y + 3y = 10[/tex]

[tex]2y + 3y = 10 - 4[/tex]

[tex]5y = 6[/tex]

[tex]y = \frac{6}{5}[/tex]

y = Cost of a bun = €1.20 (One euro and 20 cents)


Substitute this value of y in any of the equations to solve for x:

[tex]x = 2 + 1.20[/tex]

x = Cost of a jar = €3.20(Three euros and 20 cents)


Related Questions

Please ASAP Help
Will mark brainlest due at 12:00​

Answers

Answer:

plot the point at -5

Step-by-step explanation:

4. 2. 4Practice:Modeling: Slope-Intercept Equation of a Line

Answers

The slope-intercept form of the equation of a line is: y = mx + b

Where: y is the dependent variable (usually represented on the vertical axis of a graph). x is the independent variable (usually represented on the horizontal axis of a graph). m is the slope of the line (which represents the rate of change of y with respect to x). b is the y-intercept (which represents the value of y when x is equal to 0). To use this equation, you need to know the slope (m) and the y-intercept (b) of the line. You can find the slope of a line by taking any two points on the line and using the formula:

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

where (x1, y1) and (x2, y2) are any two points on the line. Once you know the slope, you can substitute it and the y-intercept into the slope-intercept form of the equation of the line to get the equation in its final form.

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4.02 Lesson check ! (8)

Answers

The difference is not constant, the sequence is not arithmetic.

What exactly is an algebraic sequence?

An arithmetic sequence is a set of integers where each term is created by multiplying the preceding term by a fixed constant value (known as the common difference). A constant rate of change is modelled by arithmetic sequences in fields like engineering, physics, and financial computations.

For the given series we need to determine if the sequence is arithmetic, by checking difference between consecutive terms is constant.

9 - 7 = 2

12 - 9 = 3

16 - 12 = 4

Since the difference is not constant, the sequence is not arithmetic.

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A streaming service charges $200 to download a digital song as well as a $4.99
membership fee. Which expression below gives the total cost in dollars to join the
streaming service and download games. Remember the charge is $2.00 per game plus
a membership fee of $4.99.

A.4.99n

B.n+4.99

C.2n +4.99

D.I don't know how to
do this.

Answers

The expressiοn calculates the tοtal cοst οf membership and game dοwnlοads. Sο, the cοrrect οptiοn is (C) 2n + 4.99.

Describe Algebraic Expressiοn?

Algebraic expressiοns can include οne οr mοre variables, which are typically represented by letters, such as x, y, οr z. These variables can be used tο represent unknοwn quantities οr tο express relatiοnships between different quantities in a prοblem.

Algebraic expressiοns can alsο include cοnstants, which are fixed numbers, and cοefficients, which are the numbers that multiply the variables in the expressiοn. Fοr example, in the algebraic expressiοn 3x + 2y, the cοnstants are 3 and 2, and the cοefficients are 3 and 2, respectively.

The given prοblem describes twο different charges: a οne-time charge οf $200 tο dοwnlοad a digital sοng, and a membership fee οf $4.99 that must be paid regardless οf hοw many sοngs οr games are dοwnlοaded. Additiοnally, fοr dοwnlοading games, there is a charge οf $2.00 per game.

Therefοre, the tοtal cοst in dοllars tο jοin the streaming service and dοwnlοad games can be represented by the expressiοn:

2n + 200 + 4.99

Here, "n" represents the number οf games dοwnlοaded, and the expressiοn calculates the tοtal cοst οf membership and game dοwnlοads.

Sο, the cοrrect οptiοn is (C) 2n + 4.99.

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Helpppp meee plssss will mark you big brain

Answers

Answer:

Step-by-step explanation:

16. Since the angle between the two values is 90, that is already half of 180, which is the total of all of the angles. So you make the equation, 3n+3+2n+7+90=180, which simplifies down to 5n+100=180, and after solving you get n = 16.

Here is the answer to your question

[tex] = 16[/tex]

Determine a series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E'?

Answers

We cannot determine the specific series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E' without knowing the specific coordinates or measurements of the vertices of the two polygons. However, in general, we can use a combination of translations, rotations, reflections, and dilations to map one polygon onto another. Here are some steps to follow:

1. Translate polygon ABCDE to align one of its vertices with the corresponding vertex of polygon A'B'C'D'E'.
2. Rotate the translated polygon about the shared vertex until another pair of corresponding vertices align.
3. Determine if any reflection is required to align the remaining vertices.
4. If necessary, dilate or shrink the polygon to match the size of the target polygon.

The specific combination of transformations will depend on the initial orientation and size of the polygons.

Solve using substitution method
2x+y=12, 3x-7y=1

Answers

follow the steps in the picture above

Step-by-step explanation:

look the ans it will make you clear about substitution method clear

The following chips are placed in a bucket 5 white, 1 yellow, 2 blue, and 1 green. One chip is randomly selected from the bucket.
What color chip has the best chance of getting selected?

Answers

Answer: So,

If we add them together, we get

5 + 3 + 4 + 1 = 13

Since there are 4 blue chips, the probability would be 4 out of the total number of chips, or 4/13.

Step-by-step explanation: Hope this helps! <3

Is 0.06 bigger than 0.066

Answers

Answer:

Yes, 0.06 is bigger than 0.066, because 0.06 is greater than 0.066 when they are written in decimal form. This is due to the fact that 0.06 has 6 tenths, while 0.066 has 66 hundredths.

Answer:

no

Step-by-step explanation:

that is because 0.6 = 0.6000000

and 0.066 = 0.6600000

A sample of students is taken from the school's A honor roll. The school estimates there are 360 students on the A honor roll. How many students on the A honor roll are 7th graders?

Answers

the answer would be 32 i think hut im not sure

what is the lcm of 14 and 18​

Answers

the lcm of 14 and 18 is 126

Three friends participate in the loyalty program at a local coffee shop. A participant in the program earns points for each visit that can be used to get drinks and food for free. The graph below shows the point balances of the three friends over several weeks?

help me it's the 23 and the 24 please.

Answers

Answer:

On the graph, the point balances for the three friends on the 23rd week are:

- Friend A: 60 points

- Friend B: 80 points

- Friend C: 40 points

On the 24th week, the point balances are:

- Friend A: 80 points

- Friend B: 100 points

- Friend C: 60 points

It looks like all three friends are earning points and increasing their balances over time. Friend B seems to be earning points at a faster rate than the other two friends, as their balance is consistently higher. Friend C has the lowest balance, but is still earning points and increasing their balance.

Demonstrate the property listed in the first column of the table by filling in the box in the second column of the table with an equivalent expression. Commutative Property of Addition Commutative Property of Multiplication gx h= Additive Identity Property of Zero n + 34 = Multiplicative Identity Property of One S+0= bx1 =​

Answers

The property listed in the first column of the table by filling in the box in the second column of the table with an equivalent expression are: 1. Commutative Property of Addition 2. Additive Identity Property of Zero 3. Multiplicative Identity Property of One.

What is expression?

An expression is a combination of numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division. It represents a value or quantity and can be evaluated or simplified to a single value or another expression. Expressions can contain constants, which are fixed values, such as the number 5 or the symbol π, or variables, which are symbols that represent varying values, such as x or y.

Here,

Commutative Property of Addition: The order in which two numbers are added does not change the result.

For example:

g + h = h + g

Additive Identity Property of Zero: Adding zero to any number does not change the value of the number.

For example:

n + 34 = n

Multiplicative Identity Property of One: Multiplying any number by one does not change the value of the number.

For example:

S * 1 = S

Commutative Property of Multiplication: The order in which two numbers are multiplied does not change the result.

For example:

b * x * 1 = x * b * 1

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On the day that certain crlebrity proposes marriage 10 peoplesknow aboutb it. Each day afterward the number of people who knows triples

Write a function that give the total number n(t) of people who know about the celebrity proposing t days after thecelebrity propose

N(t)=

Answers

the total number of people who know about the proposal 5 days after it was announced is 810.

The term [tex]3^ (t-1)[/tex] represents the number of people who find out about the proposal on day t, which is equal to three times the number of people who knew about it on the previous day. The initial value of 10 represents the number of people who knew about the proposal on the first day.

For example, if we want to find out how many people know about the proposal 5 days after the celebrity proposes, we can plug t=5 into the formula:

N(5) =[tex]10* 3^(5-1)[/tex] = [tex]10*3^4[/tex] = [tex]10*81[/tex] = 810

So the total number of people who know about the proposal 5 days after it was announced is 810.

the complete question is :

Assuming that the 10 people who know about the proposal on the first day do not forget or tell anyone else, we can use the following function to calculate the total number of people who know about the proposal t days after the celebrity proposes:

N(t) = [tex]10 * 3^(t-1)[/tex]

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A farmer has 2400 sheep, he loses 32,5% due to the drought. After that he loses 15% due to sickness. How many sheep does he have now?

Answers

The farmer now has 1377 sheep. If the farmer loses 32.5% of his 2400 sheep due to the drought, then he will have: 2400 * (1 - 0.325) = 1620 sheep left after the drought.

The farmer had 2400 sheep, but he lost 32.5% of them due to drought. Using the formula for finding percentages, we can calculate that 32.5% of 2400 is 780. So, the farmer had 2400 - 780 = 1620 sheep left after the drought. However, he then lost 15% of those remaining sheep due to sickness. Using the same formula, we can calculate that 15% of 1620 is 243. Therefore, the farmer had 1620 - 243 = 1377 sheep left after the sickness. So, the final number of sheep the farmer has now is 1377.

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E) Let y = g(x) be the particular solution to the differential equation dy/dx= 3sin(pix)/2y with initial condition
g(1/2)=3. Then g(x)= sqare root of a+bcos(pix) where a and b areconstants. Find a

Answers

Answer:

  9

Step-by-step explanation:

You want the value of the constant 'a' in the solution y=√(a+b·cos(πx)) to the differential equation y'=3sin(πx)/(2y) with initial condition y(1/2) = 3.

Initial condition

Substitute the initial condition into the equation for y:

  y = 3 . . . . when x = 1/2

  y = √(a +b·cos(πx))

  3 = √(a +b·cos(π/2)) = √a

  3² = a = 9

The value of a is 9.

__

Additional comment

The value of 'b' is -3/π.

It can be found by putting the equation for y in the original differential equation, and solving for b.

A store imploys 11 woman and 12 men
What percentage of the employees are men?

Answers

12/23 = 0.5217391

0.5217391 x 100 = 52.2 % 1dp
11 women + 12 men = 23 employees

To determine the percentage of employees that are men, we need to divide the number of men by the total number of employees, and then multiply by 100 to get the percentage:

Percentage of employees that are men = (Number of men / Total number of employees) x 100
Percentage of employees that are men = (12 / 23) x 100
Percentage of employees that are men = 52.17%

Therefore, 52.17% of the employees in the store are men.

Work out the equation of the straight line that passes through (5, 4) and (8, 19). Give your answer in the form y = mx + c, where m and c are integers or fractions in their simplest forms.​

Answers

Answer:

y = 5x - 21

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (5, 4 ) and (x₂, y₂ ) = (8, 19 )

m = [tex]\frac{19-4}{8-5}[/tex] = [tex]\frac{15}{3}[/tex] = 5 , then

y = 5x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (5, 4 ) , then

4 = 5(5) + c = 25 + c ( subtract 25 from both sides )

- 21 = c

y = 5x - 21 ← equation of line

Please ASAP Help
Will mark brainlest due at 12:00​

Answers

Answer:

plot the point at 1

Step-by-step explanation:

Answer:

(1,0)

Step-by-step explanation:

S = (-7,0)

T = (3,0)

W = (x,0)

Laila needs a new bike mirror. Her old mirror was a square with a side length of 7 cm. She wants
the new mirror to have approximately the same area as her old bike mirror.
Which circular bike mirror should Laila buy?
4 cm
7 cm
8 cm

Answers

Answer:

Approximately 4 cm

Step-by-step explanation:


Old mirror's area = S X S = 7 x 7 = 49cm2

Area of old mirror = Area of new mirror
49 = πr2

49 = 22/7 * r2

[tex]\frac{49 * 7}{22}[/tex] = r2

[tex]\frac{343}{22}[/tex] = r2

15.5909 = r2

r = [tex]\sqrt{15.5909}[/tex]
r = 3.948 cm  = approx. 4cm

Hope it helps.

about 4 centimeters

HELP MEEEEEEEE

20 POINTS

Answers

Answer: 61 N

Step-by-step explanation:

18+15+28=61

can you please help
Solve 3X+1​

Answers

Answer: The answer is 3

Step-by-step explanation:

3x+1 take one minus one.
3x1-1 1-1 for exponents value becomes 0
3x0 for every term 0 is = to one in a exponent value so it become 3x1
3x1 = 3
So the answer is 3..

Step-by-step explanation:

In the 3x+1 problem, no matter what number you start with, you will always eventually reach 1. The problemproblm has been shown to be a computationally unsolvable problem.

GET 30 POINTS

1) Coordinate point B is at (4,3). What will the coordinates be for B' after a translation of (x-2,y+3)?
*
B' (5,4)
B' (2,6)
B' (6,2)
B' (-2,3)

What is the coordinate for G(3,-2) after it is reflected across the x-axis?
*
(2,3)
(-2,3)
(3,2)
(-3,-3)

What is the translation rule that describes the result of the composition of
(x, y) --> (x+4, y-1) and (x, y) --> (x-5, y-5)?
*
(x, y) --> (x-1, y-6)
(x, y) --> (x+1, y-3)
(x, y) --> (x+9, y+6)
(x, y) --> (x+1, y+6)

thank you so mcuh

Answers

After translatiοn, the cοrrect answer is B' (x+2, y+6).

The cοοrdinate after reflectiοn is (3,2).

The translatiοn rule that describes the result οf cοmpοsitiοn is (x, y) →(x-1, y-6).

What are transfοrmatiοns?

Transfοrmatiοns in a triangle refer tο changes that can be made tο the shape, size, pοsitiοn, οr οrientatiοn οf the triangle οn a cοοrdinate plane. The three main types οf transfοrmatiοns that can be applied tο a triangle are:

Translatiοn: This transfοrmatiοn invοlves mοving the entire triangle tο a new pοsitiοn οn the cοοrdinate plane withοut changing its size οr shape.

Rοtatiοn: This transfοrmatiοn invοlves rοtating the entire triangle arοund a fixed pοint οn the cοοrdinate plane. The fixed pοint is called the center οf rοtatiοn, and the angle οf rοtatiοn determines the amοunt οf turn.

Scaling: This transfοrmatiοn invοlves changing the size οf the triangle by multiplying the x and y cοοrdinates οf each vertex by a fixed factοr.

1) Applying the translatiοn οf (x-2, y+3) tο pοint B(4,3) wοuld result in: B' = (4 + (x-2), 3 + (y+3)) = (x+2, y+6)

Therefοre, the cοrrect answer is B' (x+2, y+6)

2) Reflecting pοint G(3,-2) acrοss the x-axis results in the y-cοοrdinate being negated, and the x-cοοrdinate remains the same. Therefοre, the cοοrdinates οf the reflected pοint wοuld be G(3, 2).

The cοrrect answer is (3,2).

3) Tο determine the cοmpοsitiοn οf (x, y) → (x+4, y⁻¹) and (x, y) →(x-5, y⁻⁵), we need tο apply them in οrder. Firstly, (x, y) → (x+4, y-1) is applied tο pοint (x,y), which results in:(x, y)→ (x+4, y-1)

Next, (x, y) → (x-5, y-5) is applied tο the result frοm the previοus transfοrmatiοn (x+4, y-1), which results in:(x+4, y-1)→(x-1, y-6)

Therefore, the correct answer is (x, y) →(x-1, y-6).

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Urgent help is needed​

Answers

a. The triangle can be sketched as shown in the attached image.

b.  The side length OE is 4√11 inches

c. The measure of ∠G is 27.82°

How to calculate the side length OE?

a. The triangle can be sketched as shown in the attached image.

b. We can use Pythagoras theorem  to calculate the side length OE. That is:

OE = √(15² - 7²)

OE = 4√11 inches

c. Using trig. ratio:

sin G = (4√11)/15    (opposite/hypotenuse)

sin G = 0.8844

G =  sin⁻¹ (0.8844)

G = 27.82°

Thus, the measure of ∠G is 27.82°

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A. Please see attached photo for diagram

B. The length of side OE is 13 inches

C. The measure of  of angle G, ∠G is 62°

B. How do i determine the length of OE?

We can obtain the the length of OE by using Pythagoras theorem as shown below:

Length OG = 15 inchesLength GE = 7 inchesLength OE =?

OE² = OG² - GE²

OE² = 15² - 7²

OE² = 225 - 49

OE² = 176

Take the square root of both sides

OE = √176

OE = 13 inches

Thus, the length of OE is 13 inches

C. How do i determine the angle G?

The value of angle G, ∠G can be obtained as follow:

Hypothenuse = 15 inchesAdjacent = 7 inchesAngle G =?

Cos G = Adjacent / Hypothenuse

Cos G = 7 / 15

Cos G = 0.4667

Take the inverse of Cos

G = Cos⁻¹ 0.4667

G = 62°

Thus, angle G is 62°

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Rhonda kept track of the cats at a shelter where she volunteers. She measured how many times per day each cat ate, and she also ranked their activity level on a scale from 1 to 10 each day. She found the line of best fit for the data has the equation y=0. 23x+4. 1, where x represents the activity level and y represents the number of meals eaten.



If a cat had an activity level of about 9, then it's likely to have eaten about _[blank]_ meals.



Enter the value that correctly fills in the blank.



Round to the nearest whole number, if necessary, like this: 42

Answers

A cat would probably have consumed about 6 meals if its activity level had been around 9.

A linear equation is a relation between two variables in which one is dependent on the other in such a manner that changing one of the variables causes the change in another variable "linearly".

The above statement can be represented mathematically as,

y=mx+b

where m represents the rate of the change and c is the initial value of the equation.

Let x stand for activity level and y for the number of meals consumed. Therefore:

y = 0.23x + 4.1

For an activity level of 9, we will put x as 9:

y = 0.23(9) + 4.1 = 6.17

Thereby, we can say that If a cat had an activity level of about 9, then it's likely to have eaten about 6 meals.

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Combine the terms that can be combined. Indicate the others in descending powers of x or a.

21. 720 + 40-60-120 + 15 =

24. 3x² - 2xy + 4x²-3xy + y² =

22. 25ab +6a²-3b² +6=

25. 2x + x + 25y-y-4=

23. 3a+2b-3a + 1-3 =

Answers

The functions are arranged/combined as follows

21. 595

22. 6a² + 25ab - 3b² + 6

23. 2b - 2

24. 7x² - 5xy + y²

25. 3x - 24y - 4

How to combine the terms that can be combined or indicate in descending powers of x or a

Descending powers involves making the highest power to be the first term

The equations are solved one after the other as follows

21.

720 + 40 - 60 - 120 + 15 = 595

22.

25ab + 6a² - 3b² + 6 =

6a² + 25ab - 3b² + 6

23.

= 3a + 2b - 3a + 1 - 3

= 3a - 3a + 2b + 1 - 3

= 2b - 2

24.

= 3x² - 2xy + 4x² - 3xy + y²

= 7x² - 5xy + y²

25.

= 2x + x + 25y - y - 4

= 3x - 24y - 4

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Given: LK congruent NM,Kj congruent Mj

Prove: LT congruent NJ


PLS PLS PLS HELP IM FAILING GEOMETRY RNNNNN

Answers

By the Definition of congruent property, we have proved that:

VW ≅ VX

Congruent Property:

The three properties of congruence are the reflexive property of congruence, the symmetric property of congruence and the transitive property of congruence. These properties can be applied to line segments, angles, triangles, or any other shape.

Given: VZ ≅ VY and WY ≅ XZ

Prove:  VW ≅ VX

Proof:

(Given): VZ ≅ VY and WY ≅ XZ

By the Definition of Congruent Substitute:

VZ = VY and WY = XZ

⇒ VZ = VX + XZ , and,

    VY = VW + WY

By Substituting  

VX + XZ = VW + WY

Again,

VX + WY = VW + WY

Now,

By Subtraction property of Equality

VX = VW  

VW = VX (Definition of congruent property.)

Complete Question:

IF VZ congruent of VY and WY congruent of XZ. Prove that VW is Congruent of VX.

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Nancy has twice as many apples as jay. Jay has 3 more apples than Ava. Nancy has 22 apples. How many apples dose Ava have?

Answers

Answer: 8

Step-by-step explanation: Nancy has 22 apples, it was previously stated that Nancy has TWICE as many apples than Jay meaning Jay has 11 apples. Jay has 3 more apples than Ava meaning Ava has 8.

-2 -1
X=0
YA
X=3
15
4
3
2
T
y = x²
2
3
4
y = (x-3)²
5 6
M
What are the coordinates for the x-
intercepts shown above?
XA

Answers

Answer:

what are the coordinator position y

PLEASE HELP !!!!!!! i really need help!

Answers

Answer: Ans b.

Vol_total

= 7800 yd^3

Step-by-step explanation:

The bottom part of your shape is a box, basically (rectangular prism) and the volume is:

V=

length×width×height

Those numbers are all given. Because it is a box shape, it doesn't matter which number is which.

V = 22 × 15 × 16

= 5280 yd^3

Now the "roof" part on top is a little bit different. It is a triangular prism. So the side that needs to be the Base of the prism is the front (or back) triangle.

The volume is:

V

= BaseArea×height

= Area_triangle× ht

= 1/2 bh × height

= 1/2•21•16 × 15

The key to understanding is knowing the triangle must be the base. And the roof line running front to back will be the height. And also understanding the difference between the height of just a triangle (21) and the height of the prism(15). They are different.

Vol_roof = 2520

Then add them together.

Vol_total

= 5280 + 2520

= 7800 yards cubed

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