Here is a scale drawing of a window frame that uses a scale of 1 cm to 6 inches.
Compare the scale drawing of a window frame that uses a scale of 1 cm to 12 inches.

The area in square feet that will be added to the garden is 44 square feet.

Length of square garden = 8 feet

Area of Square garden = [tex](side)^{2}[/tex] = [tex](8)^{2}[/tex] = 64 square feet

On enlarging the square to a rectangle, length rectangular garden is (8+4)feet i.e.,12feet and width of rectangular garden is (8+1)feet i.e.,9feet.

Area of rectangular garden = (length × width)

                                              = (12 × 9) square feet

                                              = 108 square feet

The area in square feet that will be added to the garden = (Area of rectangular garden - Area of Square garden)

= (108 square feet - 64 square feet)

= 44 square feet

The area in square feet that will be added to the garden is 44 square feet.

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12800

Step-by-step explanation:

you should find 6 percent on 32000 and multiply it by 10 to see the value it lost in 10 years then subtract that from 32000 for the final answer :)

Answer:

8x + 3y = 369

10x + 10y = 780

Step-by-step explanation:

x = small bookshelves

y = large bookshelves

8x + 3y = 369

10x + 10y = 780

Answer:

everything is going to beat

The final altitude of the hiker 395 feet.

From the information, the hiker first hiked down into a canyon 1,345 feet below sea level and she then hiked 950 feet up the side of a mountain.

This will be:

= -1345 + 950

= 395

Therefore, the final altitude of the hiker 395 feet.

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Answer:

The answer is A

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

a = -14

Step-by-step explanation:

4(x-3)=5x+2

distribute the 4 to what is inside the parenthesis by multiplying

4x-12=5x+2

add 12 to both sides

4x=5x+14

subtract 5x from both sides

-x= 14

x= -14

therefore the answer is A. i hope this explanation helps and if you have any questions feel free to ask!

Speed is the constant of proportionality for the relationship between distance and time.

Relationship between these two values is distance is directly proportional to time .

As given,

Distance =400 kilometers

Time=8 hours

Let s, d, and t represents speed, distance and time.

Speed = d / t

           = 400/8

           = 50 km/ hour

           = constant

Hence ,

d = 50t

⇒ d ∝ t

Therefore, speed is the constant of proportionality for the relationship between distance and time.

Relationship between these two values is distance is directly proportional to time .

The complete question is:

An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. using for distance in kilometers and for number of hours, an equation that represents this situation d=50t.

What are two constants of proportionality for the relationship between distance in kilometers and number of hours? What is the relationship between these two values?

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The number of hours Becky took to finish typing the essay is 3 hours.

A division is a process of splitting a specific amount into equal parts.

We have,

Number of words in the essay = 4,100

Becky can type 20 words per minute.

Becky has already typed 500 words.

So the remaining words are:

= 4,100 - 500

= 3,600

Now,

The number of hours to complete 3,600 words:

= 3,600 minutes / 20

= 180 minutes

We know that,

1 hour = 60 minutes

3 hours = 180 minutes

= 3 hours

Thus the number of hours Becky took to finish typing the essay is 3 hours.

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True, ax=b requires only one solution to be homogeneous. If ax=b is consistent, the ax=b solution set is acquired by translating the ax=0 solution set.

A two-linear equation system can have one solution, an infinite number of solutions, or even no solution. The number of solutions distinguishes equation systems.

Some key features regarding the consistent are-

Therefore, if the equation ax=0 has a trivial solution, the columns of the a matrix A are linearly independent.

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Step-by-step explanation:

If you multiply two real numbers, you will get another real number. There is no possibility of ever getting anything other than another real number.

Among the subsets of the real number system, the set of irrational numbers is not closed under multiplication.

We have,

Real Numbers: The set of real numbers is closed under multiplication. When you multiply two real numbers, the result is always a real number. For example, multiplying any two real numbers, such as 3.14 and 2.5, gives 7.85, which is also a real number.

Whole Numbers: The set of whole numbers is closed under multiplication.

When you multiply two whole numbers, the result is always another whole number. For example, multiplying 3 and 5 gives 15, which is also a whole number.

Integers: The set of integers is closed under multiplication.

When you multiply two integers, the result is always another integer.

For example, multiplying -4 and 7 gives -28, which is also an integer.

Rational Numbers: The set of rational numbers is closed under multiplication.

When you multiply two rational numbers, the result is always another rational number.

A rational number can be expressed as a fraction p/q, where p and q are integers and q is not zero.

When you multiply two fractions, the numerator and denominator are both integers and as long as the denominator is not zero, the result will still be a rational number.

However, the set of irrational numbers is not closed under multiplication.

An irrational number is a number that cannot be expressed as a fraction of two integers.

When you multiply two irrational numbers, the result may or may not be irrational.

Example:

√2 (square root of 2) is an irrational number, and √2 * √2 = 2, which is a rational number (integer 2).

So, the product of two irrational numbers (√2 * √2) is a rational number, not an irrational number.

Thus,

All subsets of the real number system (real numbers, whole numbers, integers, and rational numbers) are closed under multiplication, except for the subset of irrational numbers, which is not closed under multiplication.

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The price of a banana is 0.71 (after round off) USD per pound.

Here the price of a banana in Mexico was 34 pesos per kilogram.

price of a banana in Mexico = 34 pesos per kilogram

We are provided with the following information,

1 kg = 2.205 pounds,

and 1 Peso = 0.04574USD

We have to find the price in USD per pound,

So we have,

=(34 × 0.04574 )÷ 2.205

= 0.7105 USD per pound

= 0.71 USD per pound   (after round off)

Therefore the price of a banana in UDS per pound is 0.71 ( after round off) .

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After solving we get that 7 greater than 15 multiplied by 2 is indeed 37.

Follow the PEMDAS/BODMAS (Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction) sequence of operations to solve this problem:

1. Begin by performing a multiplication operation: 2 times 15 results in 30.

2. To get the answer to the multiplication, add 7: 30 + 7 = 37.

Therefore, multiplying 7 by 2 and adding 15 is equivalent to 37.

The steps are broken down as follows:

Step 1: 15 × 2 = 30

Step 2: 30 + 7 = 37

The answer is 37 since 7 is more than 15 when multiplied by 2.

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Using the diameter concept, we have that the correct option is given by:

The ball will fit, because its diameter is approximately 1 cm shorter than the side of the box.

The diameter of a circular or spherical object is the largest distance that can be formed between two parallel lines to it's boundary, hence, basically, the lateral distance occupied by the object.

For this problem, the diameter is in inches, while the available box is in cm, hence we have to convert the diameter to cm.

Each inch has 2.54 centimeters, hence the diameter of ball is of 9.55 x 2.54 = 24 (approximately) < 25, hence it will fit and the correct option is given by:

The ball will fit, because its diameter is approximately 1 cm shorter than the side of the box.

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Answer:

56247,89

Step-by-step explanation:

By using subtraction, Brenda needs an additional amount of $ 182.75 for the school trip.

In this question we notice that Brenda is aware of how much money she needs to make her school trip and besides we find a table with all the money saved during a 4-month period. Lastly, we must determine if the amount of money saved by Brenda is sufficient or not.

The money needed for the school trip is:

y = $ 197 + $ 230 + $ 85

y = $ 512

And the money saved by Brenda is:

x = $ 67 + $ 30.50 + $ 160 + $ 71.75

x = $ 329.25

Then, the additional money needed for Brenda is found by subtacting the second result from the first result:

z = y - x

z = $ 512 - $ 329.25

z = $ 182.75

Brenda needs an additional amount of $ 182.75 for the school trip.

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Answer:

5th - 13

6th - 20

7th - 27

8th - 34

Step-by-step explanation:

You add seven

The mean of the integers in the set of numbers is 1

Mean can be described as the average of a set of numbers

The integers are given as 11, -7,  -14, 10 , 5

The mean can be calculated as follows

11 + (-7) + (-14) + 10 + 5/5

= 5/5

= 1

Hence the mean of the integers is 1

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Answer: 71 dogs ==> 1st option

Step-by-step explanation:

c=cats. d=dogs.

2d-3=c

d+c=210

d+2d-3=210

3d-3=210

3d=213

d=71 dogs ==> 1st option

Answer:

8(n+5)=5-n

Step-by-step explanation:

First it says "the product of". A product is formed when you multiply two numbers or expressions. The word "and" is used to divide the two items being multiplied. So "The product of 8 and ---" means that you are multiplying 8 and what ever follows the "and" in the problem, in this case it is "the sum of a number and 5". Since what follows the "and" is another expression, it would be written in parentheses. To this point we have: 8 * ( ?? ), where the ?? replaces the expression.

The words "the sum" means that we are adding two numbers or expressions. As with multiplication, "and" separates the two addends. The first addend in the sum is "a number" - thus we know it isn't another expression and that we need to use a variable, because we aren't told the number. You can choose any letter or figure for your variable name, so lets call it "n". The part following the "and" is the number 5. Putting it together results in (n + 5), which will now be combined with the 8 * in the product, resulting in 8 * (n + 5).

The next thing that comes in your problem is "results in". This means "is equal to" and may also be written "is". Mathematical replacement is "=". Following the "=" is another expression: "the difference between 5 and the number". A difference is subtraction and, again, the "and" represents the break between the two values. The first number is 5 the second number is "the number" meaning the same number as before, so we use the same variable. The "difference between 5 and the number" is written: 5 - n

Putting it all together: "The product of 8 and the sum of a number and 5results in the difference of 5 and the number." Translates into math as:

Answer:

Step-by-step explanation:

8).

Given,

For no. Of shirts = 10, price per shirt = $9

For no. Of shirts = 25, price per shirt = $8.40

.

Linear equation be,

y = mx + b

x 10 25

y 9 8.4

9 = 10m + b  (i)

8.4 = 25m + b (ii)

Now,

(i) 9 = 10 m + b  b = 9 - 10m

(ii)  8.4 = 25m + b 8.4 = 25m + 9 - 10m

8.4 - 9 = 15m m = -0.6/15 = -0.04

m = - 0.04

b = 9 - 10m = 9 - 10(-0.04) = 9+0.4 = 9.4

b = 9.4

The linear equation,

y = mx + b

y = -0.04x + 9.4

Answer:

x = 20

Step-by-step explanation:

Hello!

Solve for x by isolating the variable.

The value of x is 20.

So you know that a pound of rice crackers cost $42.88. You also know that Jacob bought 1/4 or 25% or 0.25 of a pound. This means that by multiplying 0.25 by $42.88, you can determine the cost.

0.25 x 42.88 = 10.72

Therefore, Jacob paid 10.72 cents or $10.72 for 1/4 pound of rice crackers

Let the number of sweets Mrs. Chua has be x

And the number of children be y

So,

x-8y=3 ------- 1️⃣

x-9y= -2 ------- 2️⃣

Change the signs of equation 2️⃣

x-8y=3

+x-9y=-2

- + +

__________

Substitute equation 3️⃣ in equation 1️⃣ :

[tex] \sf \: x - 8y = 3[/tex]

[tex] \sf \: x - 8 \times 5 = 3[/tex]

[tex] \sf \: x - 40 = 3[/tex]

[tex] \sf \: x = 3 + 40[/tex]

[tex] \tt \: x = 43[/tex]

Therefore, The total number of children i.e. y is 5 and the total number of sweets Mrs. Chua i.e. x is 43...

Answer:

Okie Dokie

Step-by-step explanation:

short to long

3.05 < 3.09 < 3.5 < 3.75 < 3.9

The shortest distance is  3.05 miles, while the Longest is  3.9 miles.

Ordering numbers according to their measure allows us to arrange them in increasing or decreasing order, providing a systematic way to compare and analyze their magnitudes.

Arranging the given distances from shortest to longest  -

3.05 miles

3.09 miles

3.5 miles

3.75 miles

3.9 miles

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Answer:

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign

Step-by-step explanation:

Answer:

a₁ = - 11 and d = 3

Step-by-step explanation:

the sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

given S₄₀ = 1900 , then

S₄₀ = [tex]\frac{40}{2}[/tex] [ 2a₁ + 39d ] = 1900 , that is

20(2a₁ + 39d) = 1900 ( divide both sides by 20 )

2a₁ + 39d = 95 → (1)

the nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

given a₄₀ = 106 , then

a₁ + 39d = 106 → (2)

subtract (2) from (1) term by term to eliminate d

a₁ + 0 = - 11 , so

a₁ = - 11

substitute a₁ = - 11 into (2) and solve for d

- 11 + 39d = 106 ( add 11 to both sides )

39d = 117 ( divide both sides by 39 )

d = 3

Step-by-step explanation:

it grows exponentially.

a negative exponent like

n^-a

means only

1/(n^a)

-3 1/3³ = 1/27

-2 1/3² = 1/9

-1 1/3¹ = 1/3

0 3⁰ = 1

1 3¹ = 3

2 3² = 9

3 3³ = 27

so, 3^x comes from very small but positive values, and grows very fast (much faster than x itself and with ever increasing speed hence "exponentially") to very large and still positive numbers.

Answer:

-13.6

Step-by-step explanation:

Use the keep change change method when subtracting negative number. So, it would look like this: -6.4 + -7.2 = -13.6.

After adding them, just add a negative sign in front of your answer since you're adding two negative numbers.

Let me know if you don't understand or need more explanation.