Using data from 2010 and projected to 2020, the population of the United Kingdom (y, in millions) can be approximated by the equation
10.0y − 4.55x = 581
where x is the number of years after 2000.
In what year is the population predicted to be 71.75 million?

The digit 6 in January represents 60,000 due to its position in the 'ten thousands' place, whereas in February's count, the digit 6 represents 600, due to its place in the 'hundreds' place.

The value of a digit in a number depends on its position within that number, otherwise known as its place value. In the number 160,341 (representing the number of boxes of paper in January), the 6 is in the 'ten thousands' place, making it worth 60,000. In contrast, the 6 in the number 32,698 (representing the number of boxes in February) is in the 'hundreds' place, making it worth 600. Therefore, the digit 6 in January has a larger value than the digit 6 in February.

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Answer:

739.99 and 739.9

If you want the numbers then

39.99 and 699.99

Answer:

We have to find two decimals that are equivalent to

[tex](4\times10)+(7\times100)[/tex]

= [tex]40+700[/tex]

= 740

Now the two decimals that are equivalent to this can be many. Like -

[tex]40.0+700.0[/tex]

= 740.0

or [tex](0.4\times100)+(0.7\times1000)[/tex]

= 40+700

= 740

Answer:

$2.33

Step-by-step explanation:

$0.89 × 3 = $2.67

$5 - $2.67 = $2.33

Answer:

$2.33

Step-by-step explanation:

$0.89 × 3 = $2.67

$5 - $2.67 = $2.33

Answer:

[tex]7000\times 50 = 3,50,000 = 35\times 10^4[/tex]

Step-by-step explanation:

We have to find the product of 7,000 and 50 and express it in the form of product of a whole number and power of 10.

First, we will find the product.

[tex]7000\times 50 = 3,50,000[/tex]

Now, we have to express this product as a sum of whole number and power of 10.

3,50,000 can be written as:

[tex]3,50,000 = 35\times 10^4[/tex]

Here, 35 is our whole number and [tex]10^4[/tex] is required power of 10.

We used the rule of exponents to express the product in such manner.

Answer:

it would 3,000

Step-by-step explanation:

the nearest rounded off to thousand for this number is 3000

Final answer:

The algebraic expression for the phrase 'the sum of b and 11' is 'b + 11'. This expression represents adding 'b' to '11', and addition is commutative, which means it could also be written as '11 + b'. So the correct option is c.

Explanation:

The phrase 'the sum of b and 11' represents an algebraic expression where sum refers to the addition of two terms. When we talk about the sum of two algebraic expressions, we use the plus sign (+) to denote the operation. Therefore, for the given phrase 'the sum of b and 11a', the algebraic expression is b + 11.

It’s important to keep in mind that in algebra when we want to indicate that one term is multiplied by another, we often place them next to each other without any symbol, which is known as concatenation. And because addition is commutative, we could also write this expression as 11 + b, and it would mean the same thing.

Also worth mentioning is the distinction between the expression 'b - 11' (which means 'b' subtracted by '11') and 'b/11' (which means 'b' divided by '11'). These are different operations and would not correctly represent the phrase we were given to translate into an algebraic expression.

Answer:

a.No b.No c.Yes d.No

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

A. [tex]2^{2} + 3^{2} = 4^{2}[/tex]

4 + 9 = 16

13 [tex]\neq 16[/tex]

So for A a triangle cannot be drawn.

B. [tex]2^{2} + 3^{2} = 6^{2}[/tex]

[tex]2^{2} + 3^{2} = 6^{2}[/tex]

4 + 9 = 36

13 [tex]\neq 36[/tex]

So for B a triangle cannot be drawn

A triangle is equal to 180 degrees

C. 90 + 45 + 45 = 180

D. 90 + 60 + 60 = 210

Step-by-step explanation:

square of 15 = 225

The Number must be between 14 and 16

Answer:

The number will lie between 14 and 16.

Step-by-step explanation:

If the square of a whole number is between 200 and 250 then the inequality formed will be

200 < x² < 250

where x is a whole number.

Now we will simplify this inequality.

[tex]\sqrt{200}<\sqrt{x^{2} } <\sqrt{250}[/tex]

14.14 < x < 15.81

By approximation, 14 < x < 16

Therefore, the number must lie between 14 and 16.

Answer:

Step-by-step explanation:

He would be 87 years old right now

To determine Carl's age, we subtract his birth year, 1931, from the current year, 2022, resulting in Carl being 91 years old.

To calculate how old Carl is now, you need to determine the current year and subtract Carl's birth year from it. Since Carl was born in January 1931, we would use 2022 as the current year (assuming it's the present year).

So, the calculation is simple: 2022 - 1931 = 91. Therefore, Carl would be 91 years old.

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Answer:

18x²-45x

Step-by-step explanation:

Final answer:

To find the product of negative 9 and (5 minus 2x), use the distributive property, resulting in -45 + 18x.

Explanation:

The product of negative 9 and (5 minus 2x) can be found by applying the distributive property. This property states that a number multiplied by a sum or difference in parentheses is equivalent to the number multiplied by each term inside the parentheses separately, and then summing the results. So, the product will be:

Negative 9 multiplied by 5, which gives -45.

Negative 9 multiplied by -2x (note the two negatives make a positive), which gives 18x.

Combining these two products, we get the final answer, which is -45 + 18x.

Answer:

All three sides of a scalene triangle have different lengths, they have different measurements also. So your answer would be true.

Step-by-step explanation:

32 27\200 is 32.135.

If you need a better explanation just as in the comments.

Happy to help! Please mark as BRAINLIEST! Thanks

The mixed number 32 27/200 is equivalent to the decimal 32.135 after converting the fractional part to a decimal by division.

The number that you're asking about is a mixed number, meaning it has a whole part (32) and a fractional part (27/200). To convert this into a decimal, you will have to convert the fractional part into decimal form. The fraction 27/200 can be converted to a decimal by dividing 27 by 200. The result of this division is 0.135. Now, to form the decimal equivalent of the mixed number, you combine the whole number part with the decimal. Therefore, 32 27/200 as a decimal is 32.135.

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Answer:

51

Step-by-step explanation: 87-36= 51

Answer:

19.7

Step-by-step explanation:

1. Change the percent to a decimal

0.41 of 48

2.Multiply the two numbers together.

0.41 of 48 = 19.68

3. Round to nearest tenth

19.68 = 19.70 = 19.7

Answer:

-1/2

Step-by-step explanation:

For a line to be parallel, they must be equal, for it to be prependicular, the slope must have an opposite value and be over the value.

Answer:

[tex]\frac{-1}{2}[/tex]

Step-by-step explanation:

General form of equation of line = [tex]y= mx+c[/tex]

Where m is the slope of line

We are given a line [tex]y=2x + 5[/tex]

On comparing with general form

m = 2

Let n be the slope of line perpendicular to the line  [tex]y=2x + 5[/tex]

The product of the slopes of perpendicular lines is -1

So,[tex]m \times n = -1[/tex]

[tex]2 \times n = -1[/tex]

[tex]n = \frac{-1}{2}[/tex]

So, Option B is correct

Hence the slope of a line perpendicular to the line whose equation is y=2x + 5 is [tex]\frac{-1}{2}[/tex]

Answer:

5/6

Step-by-step explanation:

Hey!

------------------------------------------------

Steps To Solve:

~Find common denominators

2/3 = 4/6

1/6

~Add

4/6 + 1/6

~Simplify

5/6

This cannot be simplified.

------------------------------------------------

Answer:

5/6

------------------------------------------------

Hope This Helped! Good Luck!

Answer:

The area of the polygon is 64 units²

Step-by-step explanation:

* Lets explain how to solve the problem

- The polygon has 5 sides and 5 vertices

- To find its area by easy way split it into two trapezoid by a horizontal

  line y = 1

- The vertices of trapezoid (1) are (-5 , 1) , (4 , 1) , (-5 , 5) , (0 , 5)

- The vertices of one of the parallel bases are (-5 , 1) , (4 , 1)

- The length of this base = 4 - (-5) = 4 + 5 = 9 units

- The vertices of the other parallel bases are (-5 , 5) , (0 , 5)

- The length of this base = 0 - (-5) = 0 + 5 = 5 units

- The length of its height = 5 - 1 = 4 units

- The area of the trapezoid = 1/2 (b1 + b2) × h

∴ Area of trapezoid 1 = 1/2 (9 + 5) × 4 = 28 units²

- The vertices of trapezoid (2) are (4 , 1) , (-5 , 1) , (-5 , -5) , (-2 , -5)

- The vertices of one of the parallel bases are (4 , 1) , (-5 , 1)

- The length of this base = 4 - (-5) = 4 + 5 = 9 units

- The vertices of the other parallel bases are (-5 , -5) , (-2 , -5)

- The length of this base = (-2) - (-5) = -2 + 5 = 3 units

- The length of its height = 1 - (-5) = 1 + 5 = 6 units

∴ Area of trapezoid 1 = 1/2 (9 + 3) × 6 = 36 units²

∵ Area of the polygon = Area trapezoid (1) + Area trapezoid (2)

∵ Area trapezoid (1) = 28 units²

∵ Area trapezoid (2) = 36 units²

∴ Area of polygon = 28 + 36 = 64 units²

∴ The area of the polygon is 64 units²

Answer:

y=11 x=-10

Step-by-step explanation:

Y:

Add 3 to both sides. Then divide by 9 on both sides.

X:

Subtract 11 from both sides. then divide by -3 on both sides.

Hope this helped

Answer:

1 - 2x + 5x^4

Explanation:

A trinomial is an equation with three terms. 6 - 2x^3 - 4x^2 + x^5 has four terms so it is a polynomial, 2p^3 - p has two terms, so it is a binomial, 1 - x has two terms and is also a binomial, 1 - 2x + 5x^4 has three terms, so it is a trinomial.

The final amount of money was $50, they spent half of what they collected on canned foods, so 50 x 2 = 100.

They collected a total of $100.

Let the amount Eric collected = X

Charlotte collected 3 times as much minus $20, writing this as an equation you get 3x-20.

Now you have Eric plus Charlotte = $100:

x + 3x-20 = 100

Combine like terms:

4x-20 = 100

Add 20 to both sides:

4x = 120

Divide both sides by 4:

x = 120/4

x = 30

Eric = X = $30

Charlotte = 3x-20 = 3(30) - 20 = 90 -20 = $70

Answer:

40

Step-by-step explanation:

the the answer is 40 because if you do 40 * 3 to get 120 and if you minus 20 then you get a hundred in a hundred divided by 2 equals 50

what you do is you do 50 * 2 but you got to 100 then you add 20 which gives 220 then you ÷ by 3

Answer:

27,000 times.

Step-by-step explanation:

We have been given that the mass of Earth’s Moon is about [tex]7\times 10^{22}[/tex] kilograms. The Mass of Jupiter is about [tex]1.89\times 10^{27}[/tex] kilograms.  

To solve our given problem, we will divide mass of Jupiter by mass of Earth's moon.

[tex]\frac{1.89\times 10^{27}}{7\times 10^{22}}[/tex]

Using property [tex]\frac{a^m}{a^n}=a^{m-n}[/tex], we will get:

[tex]\frac{1.89}{7}\times 10^{27-22}[/tex]

[tex]0.27\times 10^{5}[/tex]

[tex]0.27\times 100000[/tex]

[tex]27,000[/tex]

Therefore, the mass of Jupiter is 27,000 times the mass of Earth’s Moon.

Answer:

130

Step-by-step explanation:

The area of the regular hexagon is approximately 2.598 cm².

Finding the Area of a Regular Hexagon

To find the area of a regular hexagon with a side length of 1 cm, we can use the formula for the area of a regular polygon:

Area = (3√3 / 2) × s², where s is the side length.

Given that the side length ( extbf{s}) is 1 cm:

Square the side length: 1² = 1 cm²

Multiply by (3√3 / 2): (3√3 / 2) × 1 cm² ≈ 2.598 cm²

Thus, the area of the regular hexagon is approximately 2.598 cm².

Answer:

David would have to drive for 415 miles before he reaches his $200 budget.

Step-by-step explanation:

It cost $27.95 per day to rent a car and he is only renting it for 3 days. ($27.95 x 3 = $83.85 for all three days). When you subtract $83.85 from his $200 budget you get, $116.15. It is .28 cents for each mile. Next you divide $116.15 by .28 cents to equal 414.82 miles. Round the miles to a whole number to get 415 miles.

5/16 multiply the denominator by 2 and add 1 to the numerator

9/32 multiply the denominator by 4 and add 1 to the numerator

10/32 multiply the denominator by 4 and add 2 to the numerator

The three fractions between  [tex]\frac{2}{8}[/tex] and [tex]\frac{3}{8}[/tex] are [tex]\frac{7}{24},\frac{5}{16},\frac{1}{3}[/tex]

"It is a number expressed as a quotient, in which a numerator is divided by a denominator."

"To obtain a fraction between two fractions:

Find the sum of the numerators and make it the new numerator.

Similarly, find the sum of denominators and make it the new denominator."

For given question,

We have been given two fractions [tex]\frac{2}{8}[/tex] and [tex]\frac{3}{8}[/tex]

A fraction between  [tex]\frac{2}{8}[/tex] and [tex]\frac{3}{8}[/tex] is,

[tex]=\frac{2+3}{8+8}\\\\ =\frac{5}{16}[/tex]

Now, we find the fraction between  [tex]\frac{2}{8}[/tex] and [tex]\frac{5}{16}[/tex]

[tex]=\frac{2+5}{8+16}\\\\ =\frac{7}{24}[/tex]

And the fraction between  [tex]\frac{5}{16}[/tex] and [tex]\frac{3}{8}[/tex] is,

[tex]=\frac{5+3}{8+16}\\\\ =\frac{8}{24}\\\\=\frac{1}{3}[/tex]

Therefore, the three fractions between  [tex]\frac{2}{8}[/tex] and [tex]\frac{3}{8}[/tex] are [tex]\frac{7}{24},\frac{5}{16},\frac{1}{3}[/tex]

Learn more about fractions here:

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Answer:

According to the 180°-rotation rule, you take the OPPOSITE of both the x-coordinate and y-coordinate:

180°: [x, y] → [-x, -y]

I am joyous to assist you anytime.