in order for terms to be like terms they must have?

The verbal statement '6 times the sum of a number t and 5 is s' is translated into the algebraic equation 6(t + 5) = s, which is a linear equation used to solve for either t or s.

The student's question involves creating an algebraic equation from a verbal statement. In this case, the expression '6 times the sum of a number t and 5 is s' can be translated into an algebraic equation. To do so, we first represent the sum of the number t and 5 as (t + 5). We then multiply this sum by 6 to represent '6 times the sum', which gives us the equation 6(t + 5) = s.

This equation allows us to solve for the number t when s is known, or vice versa. It is a basic linear equation that can be used in various mathematical problems to determine the value of s given a specific t, or to find t when s is known.

The value after rounding 26,000 to its nearest ten thousands is 30,000.

Given,

26,000

We need to round to its nearest ten thousands.

Example:

235678

8 - ones

7 - tens

6 - hundreds

5 - thousands

3 - ten thousands

2 - hundred thousands

Round 26,000 to its nearest ten thousand.

26,000

2 is in ten thousands place value.

So we need to round either to 20,000 or 30,000.

Since 26000 > 2499 we will round to 30,000.

= 30,000

Thus 30,000 is our answer.

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The simplified expression for the cost of a concert ticket with a 3% sales tax is t(1.03). For an original ticket price of $72, the total cost after adding the sales tax is $74.16.

The cost of a ticket t to a concert with a 3% sales tax can be simplified by first expressing the total cost as a single expression. Simplify the expression t + 0.03t by factoring out t, which gives us t(1 + 0.03) or t(1.03). This shows that the total cost is 103% of the original ticket price.

To find the total cost after the sales tax for a ticket initially priced at $72, simply multiply the original price by 1.03:

$72 × 1.03 = $74.16

Thus, the total cost of the concert ticket after applying the 3% sales tax is $74.16.

Answer:

a - b is also a rational number.

Step-by-step explanation:

 Given : a and b be rational numbers.

We have to check whether  a - b rational or irrational.

Since, Given  a and b be rational numbers.

Let us consider any two rational numbers,

[tex]a=\frac{2}{3}[/tex] and [tex]b=\frac{1}{3}[/tex]

we determine a - b as,

[tex]a-b=\frac{2}{3}-\frac{1}{3}[/tex]

Simplify, we have,

[tex]a-b=\frac{2-1}{3}=\frac{1}{3}[/tex]

Which is a rational number.

Thus, a - b is also a rational number.

the answer really is 13.25 because you going to divide it

The average speed of Sarah is 13.25 km/hour.

We know that sped, distance, and time all are in a relationship to each other. this relationship can be given as,    

[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]

[tex]\rm{Speed\ of\ Sarah=\dfrac{Distance\ traveled\ by\ Sarah}{Time\ needed\ by\ Sarah}[/tex]

[tex]\rm{Speed\ of\ Sarah=\dfrac{53\ Km}{4\ hours}[/tex]

[tex]\rm{Speed\ of\ Sarah=13.25\ km/hour[/tex]

Hence, the average speed of Sarah is 13.25 km/hour.

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The area of the rink is 184.8 m²

From the problem above we know the measurement of the ice rink is

22 x 8.4 m

to calculate the area = length x width

                                   = 22 x 8.4

Here is how to solve the decimal multiplication, we are going to multiply them as a whole number. The different is the placement of the decimal point in the answer. Using the standard algorithm method, the calculation would be:

 22             ⇒ whole number (no decimal place)

 8.4  x        ⇒ 1 decimal place

 88          

176  +

184.8           ⇒ 1 decimal place

The first factor 22 doesn't decimal place

The second factor 8.4 has one decimal place

The result will has one decimal place (0+1=1)

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Keywords: multiplication, decimal multiplication, two digits number additional, additional, area, measurement

Answer:

B) [tex]f(2)=5[/tex]

Step-by-step explanation:

1. Write the function given:

[tex]f(x)=2x+1[/tex]

2. Find f(2) means to evaluate the function when x=2, so you need to replace x with the number 2, that is:

Replacing x with the number 2:

[tex]f(2)=2*(2)+1[/tex]

Multypling numbers:

[tex]f(2)=4+1[/tex]

Adding the numbers:

[tex]f(2)=5[/tex]

Therefore the answer is B) 5

In a standard algorithm, 64 is simply a two-digit number. It might be used within mathematical operations or functions, such as exponentiation, where it could represent the result of 2^6 or 4^3.

In the context of a standard algorithm in mathematics, the number '64' is simply a value. More specifically, it's a two-digit number in the base-10 numeral system that we use for everyday counting. In the context of exponentiation, '64' can be the result of 2 raised to the power of 6, 4 raised to the power of 3, and so on. But without more specifics about the particular algorithm or mathematical operation the number '64' is being used in, it's hard to provide more detail.

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The area of a rectangular rug given the dimensions 6ft by 3.5ft can be calculated by multiplying these measurements. The correct mathematical expression representing this concept is 6 x 3.5. When performed, it results in an area of 21 square feet.

To find the area of a rectangular rug, you need to multiply the rug's length by its width. Given that the rug is 6 ft on one side and 3.5 ft on the other side, you would multiply 6 ft by 3.5 ft.

So, the correct mathematical expression to find the area of the rug is 6 x 3.5.

To perform the multiplication, you would do:

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Answer:D

Step-by-step explanation:

X is the budget

So you already know  you have to subtract 2070 for salaries then 1/4 of that that is the answer the only way that can be expressed is by D

The function that can be used to find the amount in dollars spent on monthly activities is D. f(x) = x-2070 / 4

Monthly budget of the organization = x

Amount spent on salaries = 2070

Amount spent on monthly activities will be calculated thus:

= 1/4 × (x - 2070)

= (x - 2070) /4

Therefore, for the information and the calculation given above, it can be inferred that the correct option that suits the expression will be D.

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14 is 8% of the number 175, and 16% of 175 is equal to 28.

To find a number that 14 is 8% of, we can set up the equation:

14 = 0.08 × x

Dividing both sides by 0.08:

14 / 0.08 = x

x = 175

Therefore, 14 is 8% of 175.

To find 16% of 175, we can multiply 175 by 0.16:

16% of 175

= 0.16 × 175

= 28.

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