when a number x is multiplied by 4 the result is 2/5 what is the vaule of x

The equation of the line passing through the points (4,2) and (0,-1) is y = -3/4x + 5.

To find the equation of a line passing through two points, we need to find the slope and the y-intercept.

The formula for finding the slope is: m = (y2 - y1) / (x2 - x1)

Using the points (4, 2) and (0, -1):

Substituting these values into the formula, we get: m = (-1 - 2) / (0 - 4) = 3 / -4 = -3/4

The slope of the line is -3/4.

Next, we can use the slope-intercept form of the equation of a line, which is: y = mx + b

Using one point and the slope, we can solve for the y-intercept, b.

Substituting these values into the slope-intercept form, we get: 2 = (-3/4)(4) + b

Simplifying this equation, we find: 2 = -3 + b

Adding 3 to both sides, we get: b = 5

Therefore, the equation of the line is: y = -3/4x + 5

Understanding size through known quantities in mathematics and utilizing conversion factors for unit conversions.

Size is a known size or amount that helps understand another size or amount. It is a visual variable conducive for quantitative attributes in various fields, such as mathematics and science.

In mathematics, known quantities can be used to determine unknown quantities through approximations and comparisons, such as estimating lengths or measurements based on familiar values.

Conversion factors are numbers that relate different units of measure for the same quantity, enabling easy conversions between units.

Answer:

The number is 6

Step-by-step explanation:

8*7=56, 9*7+5=68, 6860.

hope this helps

To find the product of 0.98 × 0.73, multiply the digits in the tenths and hundredths places and combine the products.

To find the product of 0.98 × 0.73, you need to multiply these two numbers together. First, eliminate any extra zeros in the decimals. Then, multiply the digits in the tenths place (8 × 7) and the digits in the hundredths place (9 × 3). Finally, combine the two products to find the final answer.

0.98 can be written as 0.981 and 0.73 can be written as 0.731.

Therefore, the product of 0.98 × 0.73 is 0.83.

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The expression is 0.25Q + 0.1D dollars for the total amount of money in the box, where Q is quarters and D is a dime. The total amount of money in the box would be $5.40.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

A) Let Q be the number of quarters and D be the number of dimes in the box. We are given that the ratio of quarters to dimes is 1:2, which can be expressed as Q:D = 1:2. Since the ratio is equal, the fraction Q/D is equal to 1/2. We can write this relationship as:

Q/D = 1/2

To find the total amount of money in the box, we need to add the value of all the quarters and dimes. The value of all the quarters is 0.25 x Q dollars and the value of all the dimes is 0.1 x D dollars. The total amount of money in the box is, therefore:

0.25Q + 0.1D dollars

B) If there are 12 quarters in the box, we can plug this value into the expression from part A to find the total amount of money in the box:

0.25 x 12 + 0.1 x D = 3 + 0.1 x D dollars

Since we don't know the value of D, we cannot simplify this expression any further. However, we can use this expression to find the total amount of money in the box for any given value of D. For example, if there are 24 dimes in the box (2 times the number of quarters), the total amount of money in the box would be:

0.25 x 12 + 0.1 x 24 = 3 + 2.4 = $5.40.

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Answer:

X_>-3

Hope this helps!!!!

Answer:

trapezoid

.

Step-by-step explanation:

Approximately 64% of the passion purple is blue paint, calculated by dividing the amount of blue paint by the total amount of paint and multiplying by 100%.

To determine what percent of passion purple is blue paint, we calculate the ratio of the amount of blue paint to the total amount of paint used to make the color. We have 9 oz of blue paint and a total of 5 oz red paint plus 9 oz blue paint, which equals 14 oz of paint in total. The percentage of blue paint is therefore (9 oz blue paint / 14 oz total paint) × 100%.

Calculating this, we get:

After rounding to the nearest percent, approximately 64% of the passion purple paint is blue paint.

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Answer:

6

Step-by-step explanation:

b is 8ft and 48 divided by 8 is 6

The tick mark labeled 'm' in a measurement can be considered a fraction over 1, and the unit 'meters' cancels out when present in both the numerator and denominator. This concept is also applied in metric unit conversions, where equivalent quantities yield a value of 1 after simplification.

Fractions can often be used to express measurements, including those with units like meters (m). In the question provided, the measurement 3.55 m could be considered as a fraction by placing it over 1 (3.55 m/1). The abbreviation for meters appears in both the numerator and the denominator; hence, they cancel out in this fraction representation, which does not affect the measurement's value.

When performing unit conversions, the same concept is applied. For example, 1 m is equivalent to 100 cm, thus forming a fraction with 100 cm in the numerator and 1 m in the denominator (100 cm/1 m) would equate to 1 after canceling 'm' out since they represent the same length but in different units. This technique is particularly useful when converting between metric units, such as millimeters (mm) and meters (m), where the prefix 'milli-' means 1/1000, allowing us to rewrite the fraction with 1000 mm in the numerator (1000 mm/1m).

In the context of the provided example, the expression 0.00675 (0.15)m over 0.00300 (0.10)m can be simplified by canceling equivalent terms that appear both in the numerator and the denominator.

Brian irons 1/16 of his shirt per minute.

The question is about determining the rate at which Brian irons his shirts per minute. Given the fact that Brian irons 2/9 of his shirt in 3 3/5 minutes, we first convert 3 3/5 into an improper fraction, giving us 18/5 minutes. Dividing the fraction of the shirt he irons, 2/9, by the time it takes, 18/5, we get the fraction of the shirt Brian irons per minute.

To find this, we multiply 2/9 by the reciprocal of 18/5, which is 5/18, resulting in (2/9)*(5/18) = 10/162 shirts per minute. Simplifying this fraction, we find Brian irons approximately 0.062 shirts or about 1/16 of his shirt per minute.

This is an example of using rates and fractions in a real-world context to solve problems. Understanding how to manipulate and simplify fractions is crucial for solving these real-world math problems.

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The required expression represents the total cost for them to go to the movies and buy one of each item is y = 2[a + x].

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

here,
The question seems to be incomplete,
Let the cost of the item be 'a' the cost of the movie be x, and the total cost be y,
According to the question,
y = 2[a + x]

Thus, the required expression represents the total cost for them to go to the movies and buy one of each item as y = 2[a + x].

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Answer:

Step-by-step explanation:

Answer:

a0 - 0

a1 - 300

a2 - 900

a3 - 65

a4 - 340

a5 - 900

a6 - 650

a7 - 700

a8 - 900

Step-by-step explanation:

there you go

Based on the amount that both Salesmen A and B earn per sale, the number of sales they both had was 12 sales.

Salesman A gets $65 per sale and Saleman B gets $300 and $40 per sale.

Assuming the number of sales to take them both to the same amount is x, the relevant formulas would be:

65x = 300 + 40x

Solving gives:

65x - 40x = 300

25x = 300

x = 300 / 25

= 12 sales

The amount that both of them earned is:

= 65 x 12

= $780

= 300 + 40 x 12

= $780

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