if the tank length is 24 inch and width is 12 inch then how much litre of water is in it?​

Answer:

Go have fun at your Christmas party!

Multiple Choice= 2 points each

Short Response= 4 points each

Step-by-step explanation:

You can set up a system of equations to find out how many points each type of question is worth.

x= multiple choice

y= short response

Equation 1 (You)

23x+10y=86

Equation 2 (Your Friend)

28x+5y=76

Solve with elimination. Multiply the second equation by negative 2 to cancel out the y-variable.

-2(28x+5y=76)

-56x-10y=-152

Subtract both equations together.

23x+10y=86

-56x-10y=-152

-33x= -66

x=2

Now that we found x, plug it into the first equation to solve for y.

23x+10y=86

23(2)+10y=86

46+10y=86

10y=40

y=4

Each multiple choice is worth 2 points, and each short answer response is worth 4 points.

Answer:

The value of a function is the actual calculation done at a certain point. The limit is - roughly speaking - the value at points that are “arbitrarily close” to the same point. For most commonly used functions, the value of a function at a point, and the limit at the same point, is the same - at least for most values.

Answer:

2p + 3e = 14

Step-by-step explanation:

The required equation is [tex]0.50\ p+0.75\ e= 3.50\\[/tex]

Given, Alejandro bought $3.50 worth of pencils and erasers at the school store.

The cost of each pencil is $0. 50.

The cost of each eraser is  $0. 75.

Since He denotes no. of pencil by p and no. of eraser by e, so the required equation will be,

[tex]0.50\ p+0.75\ e= 3.50\\[/tex].

Hence the required equation is [tex]0.50\ p+0.75\ e= 3.50\\[/tex]

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Answer:

About 29%

Step-by-step explanation:

B. (0,2) and E (2,2) are the ordered pairings that allow both inequalities to hold.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

We can check which ordered pairs satisfy both inequalities by substituting the x and y values into each inequality and checking if they are both true.

Let's check each option:

A. (-1,3)

The first inequality gives us 3 < 5(-1) + 2, which simplifies to 3 < -3. This is false, so (-1,3) does not satisfy the first inequality.

The second inequality gives us 3 ≥ 1/2(-1) + 1, which simplifies to 3 ≥ 1/2. This is true, so (-1,3) satisfies the second inequality.

B. (0,2)

The first inequality gives us 2 < 5(0) + 2, which simplifies to 2 < 2. This is false, so (0,2) does not satisfy the first inequality.

The second inequality gives us 2 ≥ 1/2(0) + 1, which simplifies to 2 ≥ 1. This is true, so (0,2) satisfies the second inequality.

C. (1,2)

The first inequality gives us 2 < 5(1) + 2, which simplifies to 2 < 7. This is true, so (1,2) satisfies the first inequality.

The second inequality gives us 2 ≥ 1/2(1) + 1, which simplifies to 2 ≥ 3/2. This is true, so (1,2) satisfies the second inequality.

D. (2,-1)

The first inequality gives us -1 < 5(2) + 2, which simplifies to -1 < 12. This is true, so (2,-1) satisfies the first inequality.

The second inequality gives us -1 ≥ 1/2(2) + 1, which simplifies to -1 ≥ 2. This is false, so (2,-1) does not satisfy the second inequality.

E. (2,2)

The first inequality gives us 2 < 5(2) + 2, which simplifies to 2 < 12. This is true, so (2,2) satisfies the first inequality.

The second inequality gives us 2 ≥ 1/2(2) + 1, which simplifies to 2 ≥ 2. This is true, so (2,2) satisfies the second inequality.

Therefore, the ordered pairs that make both inequalities true are B. (0,2) and E. (2,2).

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Answer:

i dont know but some one will help freeee points

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

Line 1 is D

Line 2 is I

Line 3 is B

Line 4 is F

Step-by-step explanation:

Find the slope of each line to get these answers, and when you see an equation like y=3x+1 it means that 1 is the y intercept and 3 is the slope

Answer:

D

Step-by-step explanation:

Answer:

D would be the answer:) hope this helps

Answer:

a = - 2, [tex]\frac{9}{4}[/tex] , b = 2, - [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

Since x = 1, y = 2 is a solution to the equations , then substitute these values into the 2 equations and solve for a and b

a + 2b = 2 → (1)

b + 2a² = 10 → (2)

In (1) subtract 2b from both sides

a = 2 - 2b → (3)

Substitute a = 2 - 2b into (2)

b + 2(2 - 2b)² = 10 ← expand parenthesis using FOIL

b + 2(4 - 8b + 4b²) = 10 ( simplify left side )

b + 8 - 16b + 8b² = 10 ( subtract 10 from both sides )

8b² - 15b - 2 = 0

Consider the factors of the product of the coefficient of the b² term and the constant term which sum to give the coefficient of the b- term

product = 8 × - 2 = - 16 and sum = - 15

The factors are - 16 and + 1

Use these factors to split the b- term

8b² - 16b + b - 2 = 0 ( factor first/second and third/fourth terms )

8b(b - 2) + 1(b - 2) = 0 ← factor out (b - 2) from each term

(b - 2)(8b + 1) = 0

Equate each factor to zero and solve for b

b - 2 = 0 ⇒ b = 2

8b + 1 = 0 ⇒ 8b = - 1 ⇒ b = - [tex]\frac{1}{8}[/tex]

Substitute these values into (3) and evaluate for a

b = 2 ⇒ a = 2 - 2(2) = 2 - 4 = - 2

b = - [tex]\frac{1}{8}[/tex] ⇒ a = 2 - 2(- [tex]\frac{1}{8}[/tex] ) = 2 + [tex]\frac{1}{4}[/tex] = 2 [tex]\frac{1}{4}[/tex] = [tex]\frac{9}{4}[/tex]

The possible values of a and b are 8, -3 or 9/4 , -1/8 respectively.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equations are,

ax + by = 2            (1)

and bx + a²y = 10        (2)

Also, x = 1 and y = 2 are the solution of the equation,

Substitute x = 1 and y = 2in equation (1),

a(1) + b(2) = 2

a + 2b = 2       (3)

Further substitute x = 1 and y = 2 in equation (2),

b(1) + a²(2)  = 10  

2a² + b = 10         (4)

By solving equation (3) and (4),

The possible values of a are 8 and 9/4.

And possible value of b are -3 and -1/8.

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Answer: B

Step-by-step explanation: This answer can be found by just doing process of elimination. A has the numbers switched around, C and D has 2 adding by ones and 7 multipying. Mathmaticlly finding the answer for B, 2 is multiplying my 2, 3 and 4. First, you have 4, then you have 6, and last you have 8. 7 is doing the same thing. 7 multiplied by 2 gives you 14, by 3 gives you 21 and by 4 gives you 28.

Answer:

$10

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

(1)

Since FE = FG the triangle is isosceles with ∠ E = ∠ G, then

∠ E = [tex]\frac{180-106}{2}[/tex] = [tex]\frac{74}{2}[/tex] = 37°

(2)

Since all 3 sides are congruent then triangle is equilateral with the 3 angles being congruent, 60° each , then

12y = 60 ( divide both sides by 12 )

y = 5

(3)

The 3 angles are congruent then triangle is equilateral with the 3 sides being congruent, then

KL = JL , that is

4t - 8 = 2t + 1 ( subtract 2t from both sides )

2t - 8 = 1 ( add 8 to both sides )

2t = 9 ( divide both sides by 2 )

t = 4.5

(4)

Given ∠ B = ∠ C then triangle is isosceles with 2 legs being congruent , that is

AB = AC

4x + 1 = 9 ( subtract 1 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

Then

perimeter = AB + BC + AC = 4x + 1 + 2x + 3 + 9

                                            = 6x + 13

                                            = 6(2) + 13

                                            = 12 + 13

                                            = 25

Answer:

full

Step-by-step explanation:

screen

Answer:

Solution

Correct option is C)

(fog)(x)=f(g(x))=2(3x+2)−1=6x+4−1=6x+3=3(2x+1)

Answer:

its option B

Step-by-step explanation:

Answer:

the answer is d

Step-by-step explanation:

Step-by-step explanation:

3.52 =

3

+ 0.5

+ 0.02

hopes this helps you

Answer:y + x -6x (y -5x -2)

5x + 4x -3x (x)

2x + 3 - x -4 (x - 1)

Step-by-step explanation:

A=C

B=B

C=A

C = 10m + 30, where C is total cost and m is # of months

C = 10(5) + 30

C = 50 + 30

C = $80

$160 = 10m + 30

160 - 30 = 10m

130/10 = m

m = 13 months

Hope that helps

Answer:

Step-by-step explanation:

Multiplication is a see also of division. Division is a see also of multiplication.

As nouns the difference between division and multiplication is that division is (uncountable) the act or process of dividing anything while multiplication is (uncountable|mathematics) the process of computing the sum of a number with itself a specified number of times, or any other analogous binary operation that combines other mathematical objects

Answer: yesterdays price was $700

Step-by-step explanation:

$497 = 71% of the RP (100 - 29)

RP*0.71 = 497

RP = 497/0.71

RP = $700

Answer:

1. (2^3)^3 = 2^x  x=9

2. 4^x  x = 6   5^y  y= 9

3. 3^6/3^3 = 3^x   x = 3

Answer:

I think 102 rows of corn

Step-by-step explanation:

918 ÷ 9 = 102

Using the mid-point concept, it is found that the coordinates of B are (-2, -1).

In this problem:

Applying the concept for both the x and y-coordinates, we have that:

[tex]\frac{x + 2}{2} = 0[/tex]

[tex]x + 2 = 0[/tex]

[tex]x = -2[/tex]

[tex]\frac{-5 + y}{2} = -3[/tex]

[tex]-5 + y = -6[/tex]

[tex]y = -1[/tex]

The coordinates of B are (-2, -1).

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Answer:

A’ (6, -4)

B’ (-2, -1)

C’ (-5, 0)

Step-by-step explanation:

When reflecting anything across the x, the x values stay the same and the y values become opposites. When reflecting anything across the y, the x values become the opposites and the y values stay the same.

The reflection of triangle ABC across the x axis has vertices at A'(6,-4), B'(-2,-1) and C'(5,0).

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Reflection is the flipping of a figure. If a point A(x, y) is reflected across the y axis, the new point is at A'(x, -y). Given the vertices of the triangle at A(6,4), B(-2,1) and C(5,0).

The reflection of triangle ABC across the x axis has vertices at A'(6,-4), B'(-2,-1) and C'(5,0).

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Answer:

Step-by-step explanation:

Direct variation equation:

Given:

The equation is:

Find the value of x when y = 168:

Answer:

10. y degree = 102 degree

11. x degree = 103 degree

Step-by-step explanation:

The formula to calculate the sum of the interior range of polygons is (n-2) * 180.

With n being the number of sides.

From that sum, you can then deduce the angles of y or x, by substracting the other angles.

10. n = 4 => ( 4 - 2 ) * 180 = 2 * 180 = 360 degree

y = 360 - 120 - 85 - 53 = 102 degree

11. n = 5 => (5 - 2) * 180 = 3 * 180 = 540 degree

x = 540 - 117 - 100 - 105 - 115 = 103 degree