18.1(2x+3)greater than or equal too -452.5
(if you dont know what greater than its this > )

The equation of the line is x-y=0

What is point of intersection?

A point of intersection is a point where two lines intersect.

We are given the two equations as x-y=0 and x+y=0

The point of intersection can be given by finding the coordinates of which will satisfy both the equation

Now the equation can be solved by

The point of intersection is (0,0)

We have to find the equation of the line passing through the point (0,0),(2,2)

This can be done by

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

[tex]\frac{-y}{2}=\frac{-x}{2}[/tex]

[tex]x-y=0[/tex]

Hence the equation of the line passing through the point of intersection of x-y=0 and x+ y=0 and (2,2) The equation of the line is x-y=0

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The difference in the birth rate and death rate of the herd of buffalo as indicated in the task content is; 6% net death rate.

The population is in a state of decay.

The exponential equation which models the population is; P = 125,000 (0.94)^n.

The population of the herd after 10 years would be; P = 67,327.

It follows from the task content that the average birth rate is 31% per year, but the death rate is 37% per year.

Hence, the difference between the birth rate and death rate is; 6% net death rate per year.

It therefore follows from the statement above that the population is in a state of decay as it reduces after each successive year due to.higher death rate than birth rate.

Also, since the difference between death and birth rate is a 6% net death rate.

It follows that the model is such that we have;

P = 125,000 (100% - 6%)^n

P = 125,000 (0.94)^n

where, P = current population and n = number of years after.

Finally, the population of the herd after 10 years would be;

P = 125,000 (0.94)¹⁰

P = 67,327.

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Answer:

The side length, s, of a cube is 4x^2 + 3. If V = s^3, what is the volume of the cube? The volume of the cube is 64 x^6 + 144x^4 + 108x^2 + 27.

Step-by-step explanation:

Hope this helps you

let the first orange x

second orange 3x

x+3x+14+9=143

4x+23=143

4x=143_23

4x/4=120/4

x=30

check

30+90+14+9=143

After conducting some mathematical operations, we know that the cost of 13 packages of pencils of $16.77.

So, the cost of 13 packages of pencils:

Then, obtain the cost of 13 packages of pencils as follows:

Therefore, after conducting some mathematical operations, we know that the cost of 13 packages of pencils of $16.77.

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Check the picture below.

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

well, keeping all that in mind, the equation is already in standard form.

[tex]m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{ - 9 - 4}{30 - 0} \\ m= \frac{ - 13}{30} \\ m = - \frac{13}{30} [/tex]

I ALSO PROVIDED YOU THE FORMULA TO USE WHEN FINDING THE GRADIENT/SLOPE FOR FUTURE USE.

GOODLUCK.

ok the answer is 3

as both are negative so they will get cancel out

so the answer is 3 only.

Check the picture below.

since the triangle is equilateral, is also equiangular.

[tex]a\sqrt{3}=\sqrt{6}\implies a=\cfrac{\sqrt{6}}{\sqrt{3}}\implies a=\cfrac{\sqrt{2\cdot 3}}{\sqrt{3}}\implies a=\cfrac{\sqrt{2}\sqrt{3}}{\sqrt{3}}\implies a=\sqrt{3} \\\\[-0.35em] ~\dotfill\\\\ 2a=x\implies {\Large \begin{array}{llll} 2\sqrt{3}=x \end{array}}[/tex]

To get average speed you take:

Total distance / total time = average speed

As we can see, the total distance that the motorist travelled was:

And, the total time taken is:

Then, his average speed is:

Answer:

28

Step-by-step explanation:

1 0/4 = 8

2 0/4 = 16, so 3 0/4 = 24.

2/4 = 1/2, and 2/4 has 4 grams.

24 + 4 = 28.

Answer: b

Step-by-step explanation: because if u see the numbers and they match

The simple forms of expressions are 11.5×10¹⁰,16.385×10⁻⁸,4.8672×10⁶,0.2×10⁻²

An expression is a combination of variable, numbers and operators.

The given expression is

(5×10⁻²)(2.3×10¹²)

Use the distributive property

(5×2.3)(10⁻²×10¹²)

The powers with same base will be added

11.5×10⁻²⁺¹²

11.5×10¹⁰

23) (3.9×10³)(4.2×10⁻¹¹)

(3.9×4.2)(10³×10⁻¹¹)

The powers with same base will be added

16.385×10⁻⁸

25) 3.12×10³/1.56×10⁻³

The sign of power of denominator changes to opposite sign when it shifted to numerator.

4.8672×10³⁺³

4.8672×10⁶

(28) 1.82×10⁵/9.1×10⁷

0.2×10⁵⁻⁷

The sign of power of denominator changes to opposite sign when it shifted to numerator.

0.2×10⁻²

Hence the simple forms of expressions are 11.5×10¹⁰,16.385×10⁻⁸,4.8672×10⁶,0.2×10⁻²

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Answer:

the last one so it would be

0.890

Step-by-step explanation:

Answer:

k = 157.32

Step-by-step explanation:

Given:

[tex]\frac{k}{22.8} =6.9\\[/tex]

Solve for k:

multiply both sides of the equation by 22.8

[tex]\frac{22.8*k}{22.8} = 22.8*6.9[/tex]

because 22.8/22.8 = 1 we have

k= 22.8 ·6.9

calculate the product

k = 157.32

A family eats at a restaurant. The bill is $42. The family leaves a tip and spends $49.77. How much was the tip in dollars? Round your answer to the nearest hundredth (second) decimal place. Do not include units ($) in your answer

Subtract the bill from the total

so

49.77-42=$7.77

therefore

The absolute value functions graphed are given as follows:

1. y = |x + 1|.

3. y = |x + 1| - 4.

4. y = 0.5(|x - 1| + 1)

An absolute value function of vertex (h,k) is defined by the following rule:

y = |x - h| + k.

For item 1, the vertex of the function is at point (-1,0), hence h = -1 and k = 0, and the rule is:

y = |x + 1|.

For item 3, the vertex of the function is at point (-1, -4), hence the coefficients are h = -1 and k = -4, and the rule is:

y = |x + 1| - 4.

For item 4, the vertex of the function is at point (1,1), and the function is also vertically compressed by a factor of 0.5, as when x changes by 2, y changes by 1, hence the rule is:

y = 0.5(|x - 1| + 1)

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Answer: a = 35

Step-by-step explanation: The answer would be 35 because we already know one of the angles is 55 degrees and the other would be 90 degrees because the little square gives it away. Now, all you need to do is add 55 and 90 which would give you 145. Since the line is 180 degrees you would have to subtract 145 from 180 which would give you 35.

First we have to calculate 20% of 240

Let's multiply 240 by 20/100, therefore the result is 48

Then we subtract 48 from 240, the result is 192

The answer is $192.

-48.95820 is the result of the products of the decimal numbers (-2.655) and (18.44).

Given the data in the question;

(-2.655) multiply by  (18.44)

First, we determine the total decimal places in the numbers.

We have 5.

Next, we ignore the decimal places and carry out the multiplication operation as if operating on two integers.

                                - 2 6 5 5

                ×                 1 8 4 4

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                +              1 0 6 2 0

                +           1 0 6 2 0

                +        2 1 2 4 0

                +       2 6 5 5

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

               =      - 4 8 9 5 8 2 0

Now, rewrite the result of the product with the 5 total decimal places.

= -48.95820

Therefore, the result of the multiplication operation is -48.95820.

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PAGE 1

1.) 5 x 7 + 5 x 3 = 50

2.) 3 x 3 + 3 x 4 = 21

3.) 2 x 8 + 2 x 8 = 32

4.) 6 x 8  - 6 x 5  = 18

5.) -3 x 9 - (-3) x 2 = (-21)

6.) -2 x 8 - (-2) x 4 = (-8)

PAGE 2

1.) 2 x 3 + X

2.) 5 x 6 + Y

3.) 7 x 8 + Y

4.) 9 x 2 - M

5.) 15 x 3 - S

6.) -15 x 6 - A

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Answer:Eureka Math Grade 6 Module 2 Lesson 1 Answer Key

March 31, 2021 / By Prasanna

Engage NY Eureka Math 6th Grade Module 2 Lesson 1 Answer Key

Eureka Math Grade 6 Module 2 Lesson 1 Example Answer Key

Example 1.

34 gallon of batter is poured equally into 2 bowls. How many gallons of batter are in each bowl?

Answer:

→ Since the whole is being put into 2 equal parts or bowls, this is the partitive model of division. What division expression can we write to match this story?

→ 34 ÷ 2

→ We can also think of this problem as asking, “3 fourths is 2 groups of what?” Let’s take a look at how to solve this using an area model. What is the whole? How much batter is being shared?

→ Three-fourths gallon

→ The story tells us that the batter is poured equally into 2 bowls. How can we show this in the model?

→ We can draw another line, horizontally, to partition the model into 2 equal units.

→ Now our model shows 3 fourths being partitioned into 2 equal parts. Could we also say that our model shows 12 of 3 fourths?

→ Yes, it’s just like in the Opening Exercise where dividing by 2 and multiplying by are the same.

→ Let’s label our model to show that. What is half of 3 fourths?

Half of 3 fourths is 3 eighths.

→ Yes, and what is 3 fourths divided by 2?

→ It’s also 3 eighths!

→ We said that we could also think of this problem as, “3 fourths is 2 groups of what?” Is it true that 3 fourths is 2 groups of 3 eighths? Use a repeated addition or multiplication sentence to support your response.

→ Yes, it’s true. 3 eighths plus 3 eighths is 6 eighths, which is equal to 3 fourths. →. It’s true.

2 × 38=68=34.

Eureka Math Grade 6 Module 2 Lesson 1 Example Answer Key 2

34 ÷ 2 = 12 of 34 = 38

38 gallon of batter in each bowl.

Step-by-step explanation:

The most appropriate choice for expansion will be given by -

9 is needed to complete the square.

What is expansion?

Expansion is used when there is a product of factors in an algebraic expression and multiplication of algebraic expansion is needed by removing the brackets. Two most important formulas in expansion are

[tex](a+b)^2 = a^2+2ab+b^2\\(a-b)^2 = a^2-2ab + b^2[/tex]

Here,

[tex]x^2 - 6x +\\x^2 - 2\times x \times 3+[/tex]

To complete the square, [tex]3^2 = 9[/tex] is needed

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Answer: It would be $5.00

I hope you have a nice day!

A. The function that models the inverse variation is y = 144/x

b. The value of x when y = 36 is 4

An inverse variation simply shows the relationship between two variables whereby when one value increases, the other value will decrease

1. In this case, x and y vary inversely and that x=48 when y=3. The inverse relationship will be:

y = k/x

3 = k/48

Cross multiply

k = 48 × 3

k = 144

Therefore, y = 144/x

2. When y is 36, x will be:.

y = 144/x

36 = 144/x

Cross multiply

36x = 144

Divide

x = 144 / 36

x = 4

The value of x is 4.

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The algebraic representation of the given figure is y = y₁ + 14, for B (x, y) and C (x ,y₁)

A module for an associative algebra is that algebraic representation in abstract algebra. In this case, an associative algebra is a ring, which need not be unitary.

If the algebra is not unitary, it can be made to be so using a standard method (see the adjoint functors page); there is no fundamental difference between the algebraic representations and the modules for the resulting unitary ring, in which the identity acts through the identity mapping.

Point A in both triangles are same

For Point B(-2,8) and Point C(-2, -6)

we can see Point B y = Point C y+14

So the algebraic representation is Point B(x, y) =  Point C (x ,y+14)

As x is same we get

y = y₁ + 14

Where y is point B y and y₁ is point C y,

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The Solution:

Required:

To give example of a scatter plot with 6 points and has a correlation of r = -1.

Below is the scatter plot:

Answer:

X > -5

if the bubble were shaded in, it would be >

Answer is 36

The 8th term of this sequence is 36.

solution:

 A series of numbers known as a arithmetic sequence has a constant difference numbers such that the difference between the consecutive terms is constant.

The formula for nth term of an arithmetic sequence is = a + (n – 1)d

        ie an= 5n-4

n= number of terms

To find  8th term : 5(n)-4

                            : 5(8)-4 = 36

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