Ron works 5 hours for a total of $300. He deposits all of his money in his account. He is trying to save $500 for a new LED TV. How many hours must he work to take home $500, if he saves all of his earnings

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

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.

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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divide 1006 by 12

1006 / 12 = 83.833

so 83 full trucks

83 *12 = 996

1006-996 = 10 cars will be on the last truck

To transport 1006 cars, 84 full truckloads are needed, with 10 cars in the last truck.

To calculate the number of full truckloads needed, we divide the total number of cars (1006) by the number of cars a truck can hold (12).
1006 / 12 = 83.83...

Since we can't have a fraction of a truckload, we round up to the nearest whole number.
Therefore, we need 84 full truckloads.

To find the number of cars in the last truck, we subtract the number of cars in the full truckloads from the total number of cars.
1006 - (83 * 12) = 1006 - 996 = 10

So, the last truck will have 10 cars.

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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:

[tex]y=2x+2[/tex]

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

[tex]A(-4,-6)\ B(2,6)[/tex]

Substitute the values

[tex]m=\frac{6+6}{2+4}[/tex]

[tex]m=\frac{12}{6}=2[/tex]

step 2

we know that

The equation of the line into slope intercept form is equal to

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

we have

[tex]m=2[/tex]

[tex]B(2,6)[/tex]

substitute and solve for b

[tex]y=mx+b[/tex] ------> [tex]6=(2*2)+b[/tex]

[tex]6=4+b[/tex]

[tex]b=2[/tex]

The equation of the line is equal to

[tex]y=2x+2[/tex]

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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opposite angles are equal so where the 110 is outside the triangle, it is also 110 inside the triangle.

 the 3 angles need to = 180

 so you have 110 + 57 = 167

x = 180-167 = 13

x = 13

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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