How are the dividend and divisor of a division expression related to the parts Of a fraction

Final answer:

The taxi fare is calculated with a linear equation that uses the number of miles traveled. The cost per mile is the slope (0.50) and the initial fare is the y-intercept (3.50). By substituting the number of miles into the equation, one can compute the total taxi fare.

Explanation:

The student's question involves understanding the equation of a linear function which describes a taxi fare. Specifically, the taxi fare y can be determined by the equation y=0.50x+3.50, where x is the number of miles traveled. The number 0.50 represents the slope of the line, which is the cost per mile, and the number 3.50 is the y-intercept, which is the initial fare before any miles are traveled.

Applying this knowledge to a practical example, if a person travels 5 miles, their taxi fare would be calculated by substituting x with 5 in the equation: y = 0.50(5) + 3.50, which equals 5.50 as the total fare.

The student will use 5.5 gallons of paint to paint the living room by multiplying 13.75 gallons by 2/5.

The student has 13.75 gallons of paint and wishes to use 2/5 of it to paint the living room. To calculate the amount of paint used, we multiply the total amount of paint by the fraction representing the portion they wish to use.

The calculation is as follows:

Amount of paint used = Total paint × Fraction of paint used

Amount of paint used = 13.75 gallons × 2/5

Amount of paint used = 5.5 gallons

Therefore, the student will use 5.5 gallons of paint to paint the living room.

The area of the rectangular lable designed by Millie is 0.35 square feet.

The area of rectangular label will be calculated using the formula -

Area = length × width

Keep the value in formula to find the area of rectangular label

Area = 5/12 × 5/6

Multiply the fractions to calculate the area of the label designed by Millie

Area = 25/72

Performing division on Right Hand Side of the equation to know the Millie's designed rectangular label

Area = 0.35 square feet

The label designed by Millie is 0.35 square feet.

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Final answer:

The area of Millie's rectangular label, which measures 5/12 foot by 5/6 foot, is calculated by multiplying the width and length, resulting in 25/72 square feet.

Explanation:

The student is asking about finding the area of a rectangular label that is 5/12 foot wide and 5/6 foot long. To calculate the area of a rectangle, we multiply the width by the length. In this case:

Now multiply these two fractions:

Area = Width × Length = (5/12) × (5/6)

To multiply fractions, you multiply the numerators and multiply the denominators:

Area = (5 × 5) / (12 × 6)

Area = 25 / 72 square feet

Therefore, the area of the label is 25/72 square feet.

The metric equivalent of the standard height of kitchen cabinets, 34.5 inches, is 87.63 centimeters.

To convert inches to centimeters, we can use the conversion factor that 1 inch is equal to 2.54 centimeters.

We have,

the standard height of kitchen cabinets is 34.5 inches,

we can multiply it by the conversion factor to find the metric equivalent in centimeters:

34.5 inches x 2.54 centimeters/inch

= 87.63 centimeters

Therefore, the metric equivalent of the standard height of kitchen cabinets, 34.5 inches, is 87.63 centimeters.

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Answer:

Step-by-step explanation:

According to Eric's opinion, 9/10is 1/10 less than 10/10 or 1 mile.

So, to prove that, he is going to subtract 1 mile and 9/10, to obtain 1/10 back. Let's see if he's right

[tex]1-\frac{9}{10}=\frac{10-9}{10} =\frac{1}{10}[/tex]

You can observe that Eric is actually right, he can subtract 9/10 from 1 mile, and that operation will return 1/10 back.

Therefore, Eric can use this method, it's totally correct.

Answer:

y + 7 = -2/3(x-1)

Step-by-step explanation:

i took the test :)

The total cost of the origami materials needs to be divided by four to find out how much each teacher should pay. Without the prices of the materials, we can't calculate the exact amount per teacher.

To determine how much each teacher should pay, we must first calculate the total cost of the 10 origami books and 100 packs of origami paper. However, the question does not specify the costs of these items, so we cannot provide an exact answer without this information. Once the total cost is known, you can evenly divide that cost by the number of teachers, which is four, to find the amount each teacher should pay.

For example, if the 10 origami books and 100 packs of origami paper together cost $200, you would calculate the total cost per teacher like this:

In this scenario, each teacher would pay $50.

Approximately, 450 is 75.2% of 598.4042553.

To find the number of which 450 is 75.2%, we can set up the equation:

[tex]\[ 450 = 0.752 \times \text{number} \][/tex]

To isolate the number, we divide both sides by 0.752:

[tex]\[ \text{number} = \frac{450}{0.752} \\\[ \text{number} \approx \frac{450}{0.752} \\\[ \text{number} \approx 598.4042553 \][/tex]

So, approximately, 450 is 75.2% of 598.4042553.

This means that 450 is 75.2% of the number 598.4042553. In other words, if we take 75.2% of 598.4042553, we get 450.

To verify, we can multiply 598.4042553 by 0.752, which should indeed give us 450.

Final answer:

The order of operations is followed to solve the expression 304 divided by 2 minus 26 plus 17 times 16, resulting in a final answer of 398.

Explanation:

The student is asking to solve the mathematical expression 304 divided by 2 minus 26 plus 17 times 16.

To solve this, we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

We first divide 304 by 2, then subtract 26, and finally add the result of multiplying 17 by 16.

Calculation:

(304 / 2) - 26 + (17 * 16)

= (152 -26) + 272

= 126 + 272

= 398

Answer:

a=14 hope this helps

The rule of an arithmetic sequence:

[tex]a_n=a_1+(n-1)d[/tex]

[tex]a_1[/tex] - first term

[tex]d[/tex] - a difference  [tex]d=a_n-a_{n-1}[/tex]

We have:

[tex]a_1=20;\ a_2=17;\ a_3=14;\ a_4=11;\ a_5=8;\ ...[/tex]

[tex]a_1=20;\ d=a_2-a_1\to d=17-20=-3[/tex]

substitute:

[tex]a_n=20+(n-1)\cdot(-3)=20-3n+3=-3n+23[/tex]

Answer: f(n) = -3n + 23

Answer:

f(n) = -3n + 23

Step-by-step explanation:

Answer:

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Step-by-step explanation:

1. C

2.C

3.B

4.B

5.C

6.B

7.B

8.B

9.B

10.C

The equation that represents the relationship between the number of bags of mulch left to spread, y, and the time, x, Jonathan has spent mulching, is y = -9x + 30.

To find the equation that represents the relationship between the number of bags of mulch left to spread, y, and the time, x, Jonathan has spent mulching, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.

First, we can find the slope, m, by using the formula m = (y2 - y1) / (x2 - x1). Using the points (0,30) and (1,21), the slope is (21 - 30) / (1 - 0) = -9.

Next, we can choose one of the points, (0,30), and substitute the values into the equation to find the y-intercept, b. Plugging in x = 0 and y = 30, we get 30 = -9(0) + b, which simplifies to 30 = b.

Therefore, the equation that represents the relationship is y = -9x + 30, in standard form.

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