the mass of a jar of sugar is 1.9 kg what is the total mass of 13 jars of sugar

Final answer:

The total cost of attending the fair with an access fee and a per-ride charge is represented by the equation C = 3 + 1 × x, where x is the number of rides taken.

Explanation:

To calculate the total cost of attending the county fair which includes an access fee and a per-ride charge, we can write an equation where x represents the number of rides a person takes. The access fee is a fixed cost of $3.00, and the per-ride cost is $1.00. Therefore, if a person takes x rides, the total cost C can be represented by the equation:

C = 3 + 1 × x

For example, if the person takes 5 rides, we would calculate the total cost as 3 + 1 × 5 = $8.00.

Final answer:

After subtracting the lost string (4 3/12 feet) from the initial length (25 6/12 feet) and simplifying, Dakota is left with 21 1/4 feet of kite string.

Explanation:

To calculate the amount of kite string Dakota has left after losing some, we need to perform a subtraction operation involving mixed numbers. Initially, Dakota had 25 6/12 feet of kite string. When Dakota's kite got stuck, she lost 4 3/12 feet of string.

First, let's simplify the mixed numbers by converting them to improper fractions. To do this, multiply the whole number by the denominator and add the numerator. So, 25 6/12 becomes (25 × 12) + 6 = 300 + 6 = 306/12. Similarly, 4 3/12 becomes (4 × 12) + 3 = 48 + 3 = 51/12.

Now subtract the lost string from the initial length: 306/12 - 51/12 = 255/12. Finally, we convert this back to a mixed number by dividing the numerator by the denominator: 255 ÷ 12 = 21 with a remainder of 3, which gives us 21 3/12 feet of string, or 21 1/4 feet when simplified.

Therefore, Dakota now has 21 1/4 feet of kite string left.

The simplified ratio of 36 to 45 is 4 to 5.

To simplify the ratio 36 to 45,

First, find the greatest common divisor (GCD) of 36 and 45 as

36 = 1, 2, 3, 4, 6, 9, 12

45 = 1, 3, 5, 9, 15 .

So, the GCD of 36 and 45 is 9.

Now, simplifying the ratio

= 36/48

= (9 x 4)/ (9 x 5)

= 4/5

Therefore, the simplified ratio of 36 to 45 is 4 to 5.

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In the given scenario, the independent variable is 'm miles', which is the controlled variable that dictates how much tread an automobile tire will lose, represented as 't milliliters'.

In the situation described, an automobile tire loses t milliliters of tread traveling m miles. When analyzing this scenario, it's clear that the amount of tread lost depends on the distance traveled. Thus, the independent variable is the variable that you have control over or can set prior to the start of the experiment or observation, which in this case is m miles. The dependent variable, which changes in response to the independent variable, would be t milliliters of tread lost. As the car travels more miles, the amount of tread lost would likely increase, which shows a dependency of t milliliters on m miles.

Answer:

i might be wrong but the answer is A

Step-by-step explanation:

Answer:

it's A or D

Step-by-step explanation:

The number of co.ck.roaches that one can buy is given as: 95
It is to be noted that this was solved using the knowledge of Algebraic Equations.

An algebraic equation is one where two mathematical statements are equated to one another. See how we arrive at the answer using algebra statements below.

Let us set the

Note that the total money required for the snake's food is thus given as:

X + Y + Z = 100.................................A

5X + Y + 0.05Z = 100  .......................B

To remove the decimals in B, we multiply same both sides of the equation by 20 to get:

100X + 20Y + Z = 2,000   ........................C

Recall that  the number of each animal purchased must ≥ 1

Since we are looking at the number of co.ck.roaches, let us set

X = 1
Z = 1

This gives us:

100 + 20Y + 1 = 2,000

Thus

20Y = 2,000-100-1
Y =  1899/20

Y = 94.95

Hence the answer is approximately 95 co.ckroaches.

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The area of a triangle is half the area of a parallelogram with the same base and height because a triangle's area is calculated using half the product of its base and height, while a parallelogram's area is the full product of its base and height.

The areas of a triangle and a parallelogram with the same base and height are related in that the area of the triangle is exactly half the area of the parallelogram. To understand this, recall that the area of a parallelogram is calculated by multiplying its base by its height ( extit{Base x Height}). A triangle sharing the same base and height will have half the area because the area of a triangle is given by half the product of its base and height ( extit{0.5 x Base x Height}).

Let's say we have a parallelogram and a triangle with the same base 'b' and height 'h'. The area of the parallelogram is  extit{b x h}, while the area of the triangle will be  extit{0.5 x b x h}. This relationship can be visualized by drawing a diagonal across the parallelogram, which cuts it into two equal triangles, each having the same area as the original triangle we're comparing it to.

Final answer:

The formula to calculate the sale price of items on sale is s = r - (r × discount rate), where 's' is the sale price, 'r' is the regular price, and the discount rate is expressed as a decimal. An example illustrates the process for a $100 item with a 20% discount, resulting in a sale price of $80.

Explanation:

Generally, the sale price can be calculated by subtracting the discount amount from the regular price. The discount amount itself is often a percentage of the regular price. Therefore, if the discount rate is given as a percentage, the formula to find the sale price could be expressed as s = r - (r × discount rate). This is a simplification and assumes that the discount rate needs to be converted from a percentage to a decimal form before applying.

For example, if an item's regular price is $100, and there is a 20% discount, the calculation would be: s = 100 - (100 × 0.20) = $80. Hence, the sale price is $80. This formula is crucial for both customers and businesses to understand how much they save or earn respectively on sale items.