At Al's catering service they often make a large batch of fruit salad. The recipe for the fruit salad requires 2 cups of apples for every 6 cups of strawberries.

Create a ratio table that compares the cups 2 cups of strawberries into shows the relationship between the two.

Answer:

The answer is D:)

Step-by-step explanation:

The previous number is multiplied by 10 to get the next number.

We have numbers [tex]\frac{1}{1000} ,\frac{1}{100},\frac{1}{10}[/tex]

Here first number is [tex]\frac{1}{1000}[/tex]

Second number is [tex]\frac{1}{100}[/tex]

Third number  is [tex]\frac{1}{10}[/tex]

So ratio is [tex]\frac{ \frac{1}{100}}{ \frac{1}{1000}}=10[/tex]

And [tex]\frac{ \frac{1}{10}}{ \frac{1}{100}}=10[/tex]

As the ratio between each number is 10.

Therefore the previous number is multiplied by 10 to get the next number.

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with 50 grams of rubber, you can make approximately 8 pencils.

To solve this problem, we need to set up a proportion to find out how many pencils can be made with 50 grams of rubber.

Let's set up the proportion using the given information:

[tex]\[\frac{\text{Grams of rubber}}{\text{Number of pencils}} = \frac{60}{10} = \frac{50}{x}\][/tex]

Where:

- 60 grams of rubber is used to make 10 pencils.

- 50 grams of rubber is the amount we have.

- x is the number of pencils we want to find.

Now, let's solve for x:

[tex]\[\frac{60}{10} = \frac{50}{x}\][/tex]

Cross multiplying:

60x = 500

Dividing both sides by 60:

[tex]\[ x = \frac{500}{60} \][/tex]

x = 8.333

Since you can't make a fraction of a pencil, we need to round down to the nearest whole number because you can't make a fraction of a pencil. Therefore, with 50 grams of rubber, you can make approximately 8 pencils.

The probable question maybe:

A pencil Company used 60 grams of rubber to make 10 pencils how many pencils can be made with 50 grams of rubber?

Sandy's total earnings before taxes for the two weeks will be $769.70, which includes $518 from her hourly wages and $251.70 from her sales commission.

To solve how much Sandy will earn in hourly wages and commission over two weeks of work at a clothing store, where she makes $7 per hour and earns a 15% commission on her sales of $1,678, we first calculate her hourly wages: Sandy worked 74 hours, and at $7 per hour, her earnings from hours worked are 74 hours x $7/hour = $518.

Next, we calculate her commission earnings: 15% of $1,678 in sales is 0.15 x $1,678 = $251.70.

Adding both earnings gives us Sandy's total earnings before taxes, which is $518 + $251.70 = $769.70.

Multiplication is a method of finding the product of two or more numbers5367 is the 3 multiple 1,789

Multiplication is a method of finding the product of two or more numbers

We need to find 3 multiple 1,789

Three times of one thousand seven hundred eighty nine.

1789 has four digits and 3 has only one digit.

We have to multiply one digit number with all the four digits

1789

×    3

_________

5367

Hence 5367 is the  3 multiple 1,789.

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Final answer:

The football team starts at their own 10 yard line, and after a gain of 15 yards, the ball is on the 25 yard line.

Explanation:

The question is about calculating the new position of a football on the field after a team makes a gain. Initially, the football team starts with the ball on their own 10 yard line. After making a gain of 15 yards in the first play, we can determine the new yard line position by simply adding the gain to the starting position.

Step-by-Step Calculation:

Starting yard line: 10 yards.

Gain made: 15 yards.

Calculate the new yard line position: Starting yard line + Gain made = 10 yards + 15 yards = 25 yards.

Therefore, after the gain, the ball is on the 25-yard line.

When two variables are related in such a way that the ratio of their values always remains the same, the two variables are said to be in direct variation.

In simpler terms, that means if A is always twice as much as B, then they directly vary. If a gallon of milk costs $3, and I buy 1 gallon, the total cost is $3. If I buy 10 gallons, the price is $30. In this example the total cost of milk and the number of gallons purchased are subject to direct variation -- the ratio of the cost to the number of gallons is always 3.

To be more "geometrical" about it, if y varies directly as x, then the graph of all points that describe this relationship is a line going through the origin (0, 0) whose slope is called the constant of variation. That's because each of the variables is a constant multiple of the other.Hope I helped

An equation in the slope-intercept form represents a direct variation only when the y-intercept is zero. For instance, y=3x is a direct variation while y=3x+9 isn't due to having y-intercept 9. The differentiation between a direct variation and a simple linear equation helps understand the relationship in algebra.

In mathematics, the slope-intercept form of an equation can represent a direct variation, but it's only sometimes true. An equation in the slope-intercept form represents a direct variation only when the y-intercept (the 'b' in the equation y=mx+b) is zero.

For example, the equation y = 3x represents a direct variation because the y-intercept is 0. Here, the value of y changes proportionately with x, which denotes a direct variation. However, in the equation y=3x+9 (represented in Figure A1), it does not represent a direct variation since the y-intercept is 9 (b ≠0).

Therefore, the direct variation depends on whether the y-intercept is zero or not in a slope-intercept equation. This relationship between the x and y variables in algebra helps scholars understand the difference between a direct variation and a simple linear equation.

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To find the value of x in the equation 50 - 10x = 20, we subtract 50 from both sides and then divide by -10, leading to x = 3.

To solve the equation 50 - 10x = 20 for the value of x, we need to isolate x on one side of the equation. First, we subtract 50 from both sides, which gives us -10x = -30. Next, we divide both sides by -10 to solve for x, resulting in x = 3. This process demonstrates the systematic approach to solving linear equations, ensuring accurate determination of unknown variables and facilitating problem-solving in various mathematical contexts. Once simplified, the equation x=3 represents the solution where the given expression is true, providing clarity on the value of x that satisfies the equation.

The number of cups of flour required to make 1 dozen muffin is 2 1/3 cups.

To find out how many cups of flour are needed for every dozen muffins made, we'll use the information given that 3 1/2 cups of flour make 1 1/2 dozen muffins. We need to set up a proportion to scale the amount of flour down to the amount needed for 1 dozen muffins. First, we know that 1 1/2 dozens equals 18 muffins (since a dozen is 12), so we can express the known ratio as:

3 1/2 cups of flour / 18 muffins

To find out how many cups of flour make 12 muffins, we set up the proportion:

(3 1/2 cups / 18 muffins) = (x cups / 12 muffins)

We then cross-multiply and solve for x, which represents the cups of flour:

3 1/2 * 12 = 18 * x

7/3 or 2 1/3 = x

Answer: YES

Step-by-step explanation: yes it is proportional because ut is a linear equation and you know where to set the y and the x

The answerto you question is the third one