Given the costs for several of the same grocery items in two countries, find the rate of the total cost for these items in the United Kingdom to that of the total cost of
items in Australia.

After 3 semesters Darnell and Emma have same number of credits as 40.

Given,

Current credit score of Darnell = 22

Current credit score of Emma = 4

Darnell plans to score a credit per semester = 6

Emma plans to score a credit per semester = 12

Now, we have to find that after how many semesters will Darnell and Emma have the same number of credits .

Here,

Current credit score of Darnell = 22

Current credit score of Emma  = 4

Credit score of Darnell = 22 + 6 = 28

Credit score of Emma = 4 + 12 = 16

Credit score of Darnell = 28 + 6 = 34

Credit score of Emma = 16 + 12 = 28

Credit score of Darnell = 34 + 6 = 40

Credit score of Emma = 28 + 12 = 40

That is,

After 3 semesters Darnell and Emma have same number of credits as 40

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Answer:

39% of 80 = 39.2

74% of 240 = 177.6

91% of 82 = 74.62

66% of 160 = 105.6

9% of 71 = 63.9

126% of 80 = 100.8

234% of 145 = 339.3

97.9% of 39 = 38.181

52% of 57.9 = 30.108

33% of 15.3 = 5.049

Step-by-step explanation:

In order to find the percentage of each equation, we will use the first one as an example. We take the 39%, and convert it to 0.39 and get rid of the %. Then, "of" means multiplication.

So, we have:

0.39 x 80 = 39.2

ANSWER

EXPLANATION

For the first cylinder;

Recall, the formula for calculating the surface area of a cylinder is;

Now, substitute the values for the first cylinder;

The volume of the first cylinder is calculated using the formula;

Substitute the values of r and h for the first cylinder;

To get the surface area of the second cylinder, we need to calculate the height (h).

To get the height, we use the volume of the first cylinder to get the height of the second (since they have the same volume).

Hence;

Substitute the height to calculate the surface area is calculated thus;

The equation is c = 31 + 0.13x and total cost on driving 180 miles is $54.4.

Firstly we will form the equation using one time charge and the product of number of miles and charge per mile. Then we will keep the value in equation to find the total cost.

Forming the equation -

c = 31 + 0.13x

Keep the value of x in formula for calculation of total cost.

c = 31 + 0.13×180

Performing multiplication on Right Hand Side of the equation

c = 31 + 23.4

Performing addition on Right Hand Side of the equation

c = $54.4

Thus, the equation for calculation of total cost is c = 31 + 0.13x and total cost is $54.4.

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The probability that exactly 3 out of the first 11 customers buy a magazine is 2.23%

The proportion of customers that buy a magazine = 8.4%

If 3 out of the first 11 customers buy a magazine, then this proportion is given as; 3/11 or 27.27%

Therefore, the probability that 3 out of the first 11 customers will buy a magazine is calculated as follows;

probability = 8.4% × 27.27%

probability = (8.4/100) × (27.27/100)

probability = 0.084 × 0.2727

probability = 0.0223

Converting it into percentage as follows;

probability = 0.0223 × 100

probability = 2.23%

Therefore, the probability that 3 out of the first 11 customers buy a magazine is calculated to be 2.23%.

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Answer:

A system of nonlinear equations is a system where at least one of the equations is not linear. Just as with systems of linear equations, a solution of a nonlinear system is an ordered pair that makes both equations true. In a nonlinear system, there may be more than one solution.

Answer:

The answers are (-10, -4) and (0, 1)

Step-by-step explanation:

The solution to a system of equations is the point where both lines intersect. In this case, all you have to do is mark the points of intersection and look at their coordinates.

Hope this helps!

Answer:

(0,1) and (-10.-4)

Step-by-step explanation:

To find the solutions, find the points where both the curve and line intersect and read off the coordinates

The equation of the line perpendicular to the line line joining (-4,4) and (2,-2) will be → y = x + 2.

The general equation of a straight line is -

y = mx + c

Where -

[m] is the slope of the line.

[c] is the y - intercept.

Given is a line that is perpendicular to the midpoint of the line segment that contains the point (-4,4) and (2,-2),

The midpoint of line joining (-4,4) and (2,-2) will be -

x[m] = (- 4 + 2)/2 = -1

y[m] = (4 - 2)/2 = 1

Coordinates of the midpoint will be M(-1, 1)

Slope of the line joining (-4,4) and (2,-2) will be -

m = (- 2 - 4)/(2 + 4)

m = -6/6

m = - 1

Then, the slope of the line perpendicular to this line will be -

m[p] = -1/-1

m[p] = 1

Assume that the equation of the perpendicular line as -

y[p] = x + c

Since it passes though (-1, 1) so -

1 = -1 + c

c = 2

Therefore, the equation of the line perpendicular to the line line joining (-4,4) and (2,-2) will be → y = x + 2.

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Answer:

From the bit that you have given , we can say = 5a + ab = to the rest of the equation

The opposite for each number is: ( -8, 8), (-1,1), (-17,17), (31,-31) and (11,-11).

Thus, you can conclude that the opposite number of a positive number is a negative number. And the opposite number of a negative number is a positive number.

The question gives the follow numbers

1. -8 8

2. -1 -11

3. -17 17

4. 31 -31

5. 11 1

The opposite for:

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We have a loan of 65 days.

The principal is $1250 and the interest is $7.75.

We have to find the annual simple interest rate.

We can express the interest of a loan of this type as:

where r = annual interest rate, t = period of the loan in days, I = interest and P = principal.

Then, we can rearrange the equation and replace with the values:

Answer: the annual simple interest rate is 3.4%.

The value of x will be 8.

And, Graph of the line y = -x + 2 is shown in figure.

What is Equation of line?

The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The condition is;

The line containing the points (4, -2) and (x,-6) is perpendicular to the line containing the points (-2, -9) and (3,-4).

Since, Multiplication of Slopes of perpendicular lines are -1.

That is;

m₁ m₂ = -1

Where, m₁ is slope of first perpendicular line and m₂ is slope of second perpendicular line.

Now, Find the slopes of lines as;

m₁ = (-6 - (-2)) / (x - 4)

m₁ = - 6 + 2 / x - 4

m₁ = - 4 / (x - 4)

And, Slope of second line,

m₂ = (-4 - (-9)) / (3 - (-2))

m₂ = (-4 + 9) / (3 + 2)

m₂ = 5 / 5

m₂ = 1

Hence,

m₁ m₂ = -1

Substitute all the values, we get;

- 4 / (x - 4) × 1 = -1

4 = x - 4

x = 4 + 4

x = 8

Thus, The points on the line is (4 , -2) and (8 , -6).

So, Slope (m₁) = (- 6 - (-2)) / (8 - 4)

                     = (-6 + 2) / 4

                     = - 4 / 4

                     = -1

Thus, The equation of line passing through the points (4 , -2) and

(8 , -6) with slope -1 is;

y - (-2) = - 1 (x - 4)

y + 2 = -x + 4

y = - x + 4 - 2

y = - x + 2

Therefore,

The value of x will be 8.

And, Graph of the line y = -x + 2 is shown in figure.

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Answer:

To rewrite the given fraction with the least common denominator between them

The given fractions are,

we get, LCM of 3,10,30 is 30

The equivalent fractions for the above factions as common denominator 30 is as follows,

For 1/3,

Multiply and divide by 10, we get,

Using this we get,

For 5/10,

Multiply and divide by 3, we get,

Using this we get,

For 7/30,

Since the denominator 30, we get same fraction,

Answer is:

The bottle contains 9.36 g of carbohydrates.

We have,

12 oz bottle contains 300 calories

We know, 1 oz = 23.35 g

12 oz = 12 * 23.35 g =280.2 g of bottel

Alcohol content = 11 %

So, the total number of alcohol in the bottle is [tex]\frac{11}{100} *280.2 = 30.8 g[/tex]

So, the bottle contains 30.8 g of alcohol.

1 gram of alcohol 7 cal of energy,

So, 30.8 g of alcohol = 7 * 30.8 cal of energy

                                  = 215.7 cal of energy

So, out of a total of 300 calories of mad elf, 215.7 calories come from alcohol.

So, (300-215.7 ) = 84.3 calories come from carbohydrates.

Each gram of carbohydrate produces 9 calories of energy.

9 calories of energy from 1 gram of carbohydrate,

1 calorie of energy from 1/9 of carbohydrate.

So, 84.3 calories from [tex]\frac{1}{9}*84.3 = 9.36 g[/tex]

Hence, the bottle contains 9.36 g of carbohydrates.

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Answer: 26m

Step-by-step explanation:

The area is 36m^2, the possible measurement that could've worked is 4m for width and 9m for length (4x9=36). Now just do 4+4+9+9 = 26m.

Hope this helped

Given:

a denotes first term and r denotes the common ratio.

Divide the equation (2) by (1)

Angle XBC is a corresponding angle to angle AXY.

The value of angle BXC is 30 degrees.

When parallel lines are cut by a transversal line, angle relationships are formed such as alternate angles, corresponding angles, linear angles, vertically opposite angles etc.

Therefore, XY and BD are parallel lines and are cut by the transversal line AB and XC.

XBC forms an isosceles triangle.

∠AXY = 75 degrees.

∠XBC is a corresponding angle to ∠AXY.

Corresponding angles are congruent.

Therefore,

∠AXY = ∠XBC

Let's find the angle BXC.

The sum of angle in a triangle is 180 degrees.

The triangle BXC is an isosceles triangle. An isosceles triangle has base angles equal to each other.

Hence,

75 + 75 + ∠BXC = 180°

∠BXC = 180 - 150

∠BXC = 30°

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The p has an exponent of 3 when the fraction is reduced

The expression is given as

5p^5q^4/8p^2q^2

Remove all other variables, except the variable p

So, we have the following expression

p^5/p^2

Apply the law of indices in the above expression

So, we have the following equation

p^5/p^2 = p^5 - 2

Evaluate the difference

p^5/p^2 = p^3

The index on p is 3

Hence, the exponent on the p is 3

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Complete question

If the following fraction is reduced, what will be the exponent on the p? - 5p^5q^4/8p^2q^2 5 4 3 2

Okay, here we have this:

Considering the provided information, we are going to write and solve the correspondinf system of equation, so we obtain the following:

According to the information given, we obtain the following system of equations, where we take x as money spent on fruit and y as money spent on green vegetables, so we have:

Now let's solve for x in the second equation:

x+x+5=30

2x+5=30

2x=30-5

2x=25

x=25/2

x=12.5

Now from the value of x that we got, then we will plug it into the first equation to get the value of y:

Then, finally we obtain that she spend $12.5 on fruits and $17.5 on green vegetables.

Answer:

The cost of cupcakes and cookies are;

Explanation:

Let x and y represent the cost of a cupcake and cookie respectively.

Given that;

Five cupcakes and two cookies cost $19.75.

Two cupcakes and four cookies cost $17.50.

Let's solve the simultaneous equation by elimination;

multiply equation 1 by 2;

subtract equation 2 from equation 3;

since we have the value of x, let substitute into equation 1 to get y;

Therefore, the cost of cupcakes and cookies are;

Answer:

1) -2

2) -2

3) -2

4) -3

5) -4

6) -15

7) -13

8) 3

1b) -9

2b) -2

3b) 7

4b) 17

5b) -4

6b) -9

7b) -16

8b) 0

1c) -5

2c) -3

3c) 0
4c) -2

5c) -8
6c) -11
7c) -3
8c) 15

Jeez, I hope this helps xD

The arc length is given by:

In this case the radius is 400 m and the angle is 36°, plugging these values we have:

Therefore, the part of the train track that runs through water world is approximately 250 meters.

The probability P(5 ≤ x ≤ 9) is 0.6847

Assume that x has a normal distribution

We have been the mean and standard deviation μ = 6; σ = 2.

To calculate this probability we use the standardized normal distribution and the z-value for 5 and 9.

z = (5 - 6)/2

  = -0.5

and z = (9 - 6)/2

         = 1.5

Then the probability is calculated as:

P(x ≤ 5) = 0.3085

P(x ≤ 9) = 0.9932

P(5 ≤ x ≤ 9) = 0.9932 - 0.3085

P(5 ≤ x ≤ 9) = 0.6847

Therefore, the probability P(5 ≤ x ≤ 9) is 0.6847

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The equation of a line passing through the point (7, 8) with slope as -3 is option (A) 3x + y - 29 = 0 or y = -3x + 29

In the above question,

It is given that a line that passes through a point = (7 ,8)

The slope of the line = m = -3

The inclination of a line with respect to the horizontal is measured numerically is called as Slope

We know the slope intercept form of the line is

( y - y1) = m (x - x1)

where (x1 , y1 ) = ( 7 , 8)

and  m = -3

Putting values in the slope intercept form of line, we get

( y - 8) = -3 ( x - 7)

y - 8 = -3x + 21

3x + y -8 - 21 = 0

3x + y - 29 = 0

y = -3x + 29

Hence, The equation of a line passing through the point (7, 8) with slope as -3 is y = -3x + 29

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The power of each term in the expressions is D and E are positive integer. So, the expressions are a polynomial.

A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number. The exponents of the variables in any polynomial have to be a non-negative integer. A polynomial comprises constants and variables, but we cannot perform division operations by a variable in polynomials.

A) [tex]x^{-2}+15x-3[/tex]

Here, the exponent of x is -2. So, the expression is not a polynomial.

B) [tex]-x^3+5x^2+7\sqrt{x} -1[/tex]

Here, the power of one of the term is 1/2. So, the expression is not a polynomial.

C) [tex]\frac{3}{5}x^4-18x^2+5-\frac{10}{x^2}[/tex]

Here, the power of one of the term is -2. So, the expression is not a polynomial.

D) 5.3x²+3x-2

Here, the power of each term is positive integer. So, the expression is a polynomial.

E) [tex]4x^4-10[/tex]

Here, the power of each term is positive integer. So, the expression is a polynomial.

The power of each term in the expressions is D and E are positive integer. So, the expressions are a polynomial.

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Answer:

6,300 grams

Step-by-step explanation:

kg to g is multiply by 1,000

Answer:

Step-by-step explanation:

630%

The correct statement will be:

A. The rate of change is the number of inches grown per month, and the initial value is the starting height.

We can form the following equation from the given data:

H(m) = 13 + 41m,

Where H ( Height ) is a function of the number of months ( m ).

We can see that the height changes with respect to months i.e. as the number of months increases, the height of the sunflower also increases.

The initial value or the initial height of the sunflower remains constant throughout and has less impact on its height.

So, option A will be the ultimate explanation for the data given.

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Answer:

Step-by-step explanation:

This is a linear function of time, as mentioned.

A linear function is always in the form of:

[tex]y=mx+b[/tex]

The 'sunflower's height is a linear function of time', so the [tex]x[/tex] variable represents the time (which is in terms of months here), and the [tex]y[/tex] would represent the sunflower's height after time has passed.

The initial value is when [tex]x=0[/tex].

[tex]x=0[/tex] means at the very beginning.

At the very beginning, the height would be the starting height, so the initial value would be the starting height.

The rate of change means the change in [tex]y[/tex] in respect to [tex]x[/tex].

Since [tex]y[/tex] represents the height after [tex]x[/tex] months, the rate of change would be the change in height per month.

You could also write it as the number of inches grown per month.

The initial value is the starting height, and the rate of change is the number of inches grown per month, so the correct answer is (A).