7 2/3 + 2 1/5 as a fraction

Answer:$493.33

Step-by-step explanation:

$373.75  Terry paid per month.

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

Given that Terry shared an apartment with three other people. .

The total number of people is 4.

Each person paid an equal share of the rent. Together they paid $1495.00 per month.

We have to find the Terry pay per month.

To find this we have to divide $1495.00/4

$373.75

Hence, $373.75  Terry paid per month.

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The future value of a condominium bought for $145,000 with a 5% annual appreciation over 5 years is calculated using the compound interest formula, resulting in a value of approximately $185,061.

The question is asking us to calculate the future value of an investment in real estate, specifically a condominium that was bought for $145,000 with an annual appreciation rate of 5% over a span of 5 years. To find the value of the condo in 5 years, we use the formula for compound interest, which is:

[tex]A = P(1 + r/n)^{nt}[/tex]

Where:

A is the amount of money accumulated after n years, including interest.

P is the principal amount (the initial amount of money).

r is the annual interest rate (decimal).

n is the number of times that interest is compounded per year.

t is the time the money is invested for in years.

Since the appreciation is compounded annually, n is 1. So, we can simplify the formula to:

[tex]A = P(1 + r)^t[/tex]

Substituting the given values:

[tex]A = $145,000(1 + 0.05)^5[/tex]

Now, let's calculate the future value:

[tex]A = $145,000(1.05)^5[/tex]

A = $145,000(1.2762825)

A ≈ $185,061

The condominium will be worth approximately $185,061 in 5 years.

Answer:

12a + 24 = 6(2a + 4) is the equivalent expressions

Step-by-step explanation:

Given the terms ; 4, 12a, 6, 2a, and 24

There are two terms with unknown = 12a and 2a

but 12a = 2a x 6 .........(1)

from the last term = 24 = 6 x 4 ...........(2)

add both equation 1 and 2 = 12a + 24

12a + 24 = 6(2a + 4) is the equivalent expressions .

to VERIFY; Use a = 2

substitute into the expression ; LHS = RHS

= 12(2) + 24 = 24 + 24 = 48 (LHS)

FOR RHS = 6(2a+4) = 6(2x2 + 4)

= 6(4+4) = 48

Hence LHS = RHS

Answer: FIrst option, Fourth option and Fifth option.

Step-by-step explanation:

First it is important to know the definition of "Dilation".

A Dilation is defined as a transformation in which the Image (which is the figure obtained after the transformation) and the Pre-Image (this is the original figure, before the transformations) have the same shape, but their sizes are different.

If the length of CD is dilated with a scale factor of "n" and it is centered at the origin, the length C'D' will be:

[tex]C'D'=nCD=(n)(12\ units)[/tex]

Therefore, knowing this, you can determine that:

1. If [tex]n=\frac{3}{2}[/tex] , you get:

[tex]C'D'=(\frac{3}{2})(12\ units)=18\ units[/tex]

2. If [tex]n=4[/tex], then the length of C'D' is:

[tex]C'D'=(4)(12\ units)=48\ units[/tex]

3. If [tex]n=8[/tex], then:

[tex]C'D'=(8)(12\ units)=96\ units[/tex]

4. If [tex]n=2[/tex], then, you get that the lenght of C'D' is:

[tex]C'D'=(2)(12\ units)=24\ units[/tex]

5. If [tex]n=\frac{3}{4}[/tex], the length of C'D' is the following:

[tex]C'D'=(\frac{3}{4})(12\ units)=9\ units[/tex]

Answer:

scale factor = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Consider the ratio of the x and y- coordinates, image to original, that is

scale factor = [tex]\frac{2}{6}[/tex] = [tex]\frac{-1}{-3}[/tex] = [tex]\frac{1}{3}[/tex]

Answer:

I think the slope is zero

Answer:

The slope is 0.

Step-by-step explanation:

If the slope line is straight with the x-axis, its 0.

If the slope isnt going straight on x nor y-axis, it had a slope of anything greater or less than 0, but not 0.

Answer:

[tex]a = - \frac{3}{4}[/tex]

Step-by-step explanation:

The correct solution of the given equation is as follows :

We have,

[tex]\frac{1}{64} = 16^{2a}[/tex]

⇒ [tex]4^{- 3} = (2^{4} )^{2a}[/tex]

⇒ [tex]2^{(2 \times (-3))} = 2^{8a}[/tex]

⇒ [tex]2^{- 6} = 2^{8a}[/tex]

Comparing the power of equal base, we get

- 6 = 8a

⇒ [tex]a = - \frac{6}{8}[/tex]

⇒ [tex]a = - \frac{3}{4}[/tex]

Therefore, before equating the powers of two terms the base of the terms should be equal and here this is the error. (Answer)

Answer:

The bases were not the same when the exponents were set equal to each other.

16 should have been written as 4 squared.

The exponent on the right should be 4a instead of 8a.

The correct solution is a = -3/4

Step-by-step explanation:

correct on edge

Answer:

The lower bound of 19.4 is 19.35

The actual perimeter of the park is 251 meters

Solution:

Given that, perimeter of a park is 0.251 meters

The actual perimeter of the park is 1,000 times as large

To find: Actual perimeter of park

From given,

Actual perimeter of park = 1,000 times as large as perimeter of park

Here, "times" means multiplication

Actual perimeter of park = 1000 x perimeter of a park

Actual perimeter of park = 1000 x 0.251

Actual perimeter of park = 251

Thus the actual perimeter of the park is 251 meters

Check the picture below.

Answer:

IV. 2(1-2) + 2(w-2)+4

Step-by-step explanation:

III. 2l + 2w - 4

Answer:

Note: N is represented by n instead.

Step-by-step explanation:

[tex]720 = n + 315 + 240[/tex]

Add the numbers

[tex]720 = n + 555[/tex]

Move the variable to the left-hand side and change its sign

[tex] - n + 720 = 555[/tex]

Collect like terms

[tex] - n = 555 - 720[/tex]

Calculate the difference

-N= - 165

N= 165

Hope this helps

Answer:

There are 392 students in the seventh grade.

Step-by-step explanation:

Let us assume that there are x number of students in the seventh grade.

Now, 3/8 of the seventh grade students were taking Advanced math at the beginning of the year, but seven dropped out by the end of the year.

So, after the end of the year there were [tex](\frac{3}{8}x - 7)[/tex] number of students taking advanced math.

So, as per given condition, [tex](\frac{3}{8}x - 7) = 140[/tex]

⇒ [tex]\frac{3}{8}x = 147[/tex]

⇒ x = 392

Therefore, there are 392 students in the seventh grade. (Answer)

First, let us find out how many miles the hikers travel per day.

They walk at a rate of two mph for eight hours each day which means that they travel 16 miles per day (8x2).

Because the total distance of the great wall is 3948 miles to find out the amount of time needed...

3948/16 = 246.75 days (which is greater than 3 months)

answer: They can't cover the entire distance in three months.

Well, first off, any ameteur who read the question once would know he is INCORRECT, this is because you can easily see he's dividing it by 3 not 6 like you should be, so 2.99 divided by 6 is 0.498333 ( continuing ) so since this must be rounded to the nearest hundredth, so, 50 cents per bottle.

So question 1: No, because he divided with the incorrect numbers.

Question 2:( I actually don't understand this question, cause we just established he was wrong ) so since I don't understand this one, imma say no, or meh.

CORRECT unit rate: 50 cents per bottle.

Hope this helps, if not, comment below please!!!!

Answer:

The modal temperature last year is 11 (March and November)

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

A year ago Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

                     9    10     11   14    19     22  27  29   21    18    11   6

2 years ago Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

                      7     11     10   13    17     23  25  25    20   18  12  9

2. What was the modal temperature last year?

Let's recall the mode of a data set is the number that occurs most frequently in the set. The number that occurs the most in the average temperatures last year is 11 (March and November) and 2 years ago is 25 (July and August)                  

Answer

23. 180

24. congruent

25. transversal line

0.486 % of world population lives in canada

Solution:

From given,

World population = 7691 million

Canada population = 37.4 million

We have to find the percent of world population lives in canada

Let "x" be the percent of world population lives in canada

Therefore, from question,

x % of world population = canada population

x % of 7691 = 37.4

Solve the above equation for "x"

[tex]x \% \times 7691 = 37.4\\\\\frac{x}{100} \times 7691 = 37.4\\\\7691x = 3740\\\\Divide\ both\ sides\ by\ 7691\\\\x = \frac{3740}{7691}\\\\x = 0.486[/tex]

Thus 0.486 % of world population lives in canada

Answer:

17 and 26 (cannot be divided evenly by 8 and 9)

72 (LCM for 8 and 9)

Step-by-step explanation:

The value of 2 numbers that cannot be divided evenly by 8 or 9 are 17 and 19.

And, The value of 1 number that can be divided evenly by both 8 and 9 is 72.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now,

The value of 2 numbers that cannot be divided evenly by 8 or 9 are,

⇒ 17 and 19

Cleary. Both number cannot divide by 8 or 9.

And, The value of 1 number that can be divided evenly by both 8 and 9 is,

⇒ LCM of {8, 9}

⇒ 72

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Answer:

$9,830.40

Step-by-step explanation:

1st year--$30,000.00 x .20=$6,000.00= $30,000.00 - $6,000.00 =$24,000.00

2nd year--$24,000.00 x .20=$4 800.00=$24,000.00 -$4,800.00=$19 200.00

3rd year---$19,200.00 x .20 =$3,840.00= $19,200.00 - $3,840.00 = $15,360.00

4th year---$15,360.00 x .20=$3,072.00=$15,360.00 - $3,072.00=$12,288.00

5th year $12,288.00 x .20=$2,457.60=$12,288.00 - $2,457.60 =$9,830.40

Answer:

2.4 %

Step-by-step explanation:

annual growth is the changes in the value of asset

STEP 1: annual growth rate

= (current value - old value)/old value

= (4100 - 5000)/ 4100

= -0.2195 // 21.95%

Step 2: Mean of x

mean of x= average of x

          = total of x / count of x ( x here is the annual growth rate)

       = annual growth rate / no of years

        =  -0.2195/ 9

       = -0.02 // 2.4 %

Answer:

2

Step-by-step explanation:

Answer: 2

Step-by-step explanation: The square root of 4 is 2.

4 is a perfect square which means that a whole number which in this case is 2 can be multiplied by itself to give us 4.

It's also on our perfect square list which I have attached below.

Answer:

Step-by-step explanation:

hello :

(x + 1)2 – 9 is equivalent to (x - 2)(x + 4)

because (x + 1)2 – 9  =(x + 1)2 – 3²

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

Answer:

(x + 1)² - 9

Step-by-step explanation:

Expand each of the factors using FOIL

(x - 2)(x + 4)

= x² + 4x - 2x - 8 ← collect like terms

= x² + 2x - 8

Now consider the expansions of

(x + 1)² - 9

= x² + 2x + 1 - 9

= x² + 2x - 8 ← equivalent to (x - 2)(x + 4)

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

(x - 1)² - 9

= x² - 2x + 1 - 9

= x² - 2x - 8 ← not equivalent to (x - 2)(x + 4)

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

(x + 1)² - 7

= x² + 2x + 1 - 7

= x² + 2x - 6 ← not equivalent to (x - 2)(x + 4)

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

(x - 1)² - 7

= x² - 2x + 1 - 7

= x² - 2x - 6 ← not equivalent to (x - 2)(x + 4)

Answer:

True

Step-by-step explanation:

A ratio is a numerical comparison broken down to its most simplest form. Theoretically, a ratio can be the same as a percentage.

45% is the same as 45/100. It can be simplified by dividing 5 from it to get 9/20...

which is the same as the 9:20 ratio.

Hope this helps!

Hope this

Final answer:

The statement is true; A being 45% of B is the same as the ratio A:B being 9:20, since 45% can be expressed as the fraction 9/20.

Explanation:

The statement that if A is 45% of B, then the ratio A:B is 9:20 is true. To understand this, we consider that 45% can be written as a fraction, which is 45/100 or simplified to 9/20.

Using the definition of percentage as a ratio that compares numbers with a denominator of 100, we can translate 45% into a fraction or ratio. This makes A/B = 9/20. Hence, expressing A as a percentage of B (A is 45% of B) is the same as writing the ratio of A to B as 9 to 20.

A practical example can illustrate this further. If B were $100, then 45% of $100 is $45, meaning A would be $45. Thus, A:B would be $45:$100, which simplifies down to 9:20 when considering their fractional equivalents.

Eighteen less than the quotient of twelve and a number is written as:

[tex]\frac{12}{x} - 18[/tex]

Solution:

Given statement is:

Eighteen less than the quotient of twelve and a number

We have to translate the given sentence into algebraic expression

Let "x" be the number

Therefore,

Eighteen less than the quotient of twelve and "x"

Quotient means result of division

Therefore,

[tex]\frac{12}{x} - 18[/tex]

Which means, 18 less than quotient of 12 and x

Thus the given sentence is translated into algebraic expression

The phrase 'eighteen less than the quotient of twelve and a number' is mathematically expressed as 12/n - 18, where n represents the unknown number.

The expression 'eighteen less than the quotient of twelve and a number' translates to a mathematical operation. First, we find the quotient of twelve and a number, which is the result of dividing twelve by that number (let's call it n). Then, we subtract eighteen from that quotient. The algebraic representation of this expression is 12/n - 18.

It's important to follow mathematical rules and order of operations correctly when performing such calculations, similarly to how the rules of arithmetic must be applied correctly regardless of the context, as is described in the example of counting goats or students. Mathematics provides various methods to arrive at the correct answer, and in this case, simplifying the operation is straightforward. It is a demonstration of understanding the correct usage of mathematical operations as well as number fluency.

Answer:

B. R/3

Step-by-step explanation:

Answer:

-41/60

Step-by-step explanation:

Type the whole thing into a calculator.

Answer:

The answer is -41/60

Step-by-step explanation:

See picture for solution and answer.

Answer:

90

Step-by-step explanation:

"The answer is 90.

To round 86 to the nearest ten, one must look at the digit in the ones place, which is 6 in this case. Since 6 is greater than or equal to 5, the number in the tens place is increased by one. The digit in the tens place is 8, so when it is increased by one, it becomes 9. Therefore, 86 rounded to the nearest ten is 90."