What is the volume of this triangular prism?



A.
38 cm3

B.
216 cm3

C.
864 cm3

D.
432 cm3

Final answer:

A linear nonproportional relationship can be identified from a table by a consistent change in the dependent variable with a non-zero y-intercept, in a graph as a straight line with a constant slope that does not pass through the origin, and in an equation by the form y = mx + b or y = a + bx with a non-zero y-intercept.

Explanation:

To identify a linear nonproportional relationship from a table, a graph, and an equation, one must understand the characteristics of such a relationship. A linear nonproportional relationship is defined as a relationship where the rate of change between the variables is constant, but the ratio of the dependent variable to the independent variable is not constant.

From a table, a linear nonproportional relationship is identified by a consistent change in the dependent variable as the independent variable changes, but the starting value is not through the origin (0,0); there is a non-zero y-intercept.

In terms of a graph, it would appear as a straight line that does not pass through the origin but has a consistent slope. The slope of the line represents the rate of change, while the point where the line crosses the y-axis represents the y-intercept, which is not zero.

A linear nonproportional equation typically takes the form y = mx + b or y = a + bx, where m or b is the slope and b or a is the y-intercept. To recognize nonproportionality, check if the y-intercept (b or a) is not zero.

The minimum number of tickets required for the family members is four because the individuals can be counted in multiple categories—each person can be a daughter, mother, and grandmother.

The question is asking for the minimum number of tickets required for a group consisting of 4 mothers, 4 grandmothers, and 4 daughters. To solve this problem, we need to consider how these individuals could be related to each other and overlap in these categories. In a possible scenario, each grandmother is also a mother, and each mother is also a daughter. Therefore, the minimum number of individuals who could cover all these roles is four: one individual who is a daughter, her mother (who is also a daughter to the next in line), her grandmother (who is the mother of the previous person), and her great-grandmother (who fills the role of the fourth grandmother).

To determine the minimum number of tickets required for a group consisting of 4 mothers, 4 grandmothers, and 4 daughters, we have to identify overlapping roles within a three-generation family structure. By recognizing that each person can hold multiple roles, we find that a minimum of 3 tickets is required for this group.

The question asks to calculate the minimum number of tickets required for a group including 4 mothers, 4 grandmothers, and 4 daughters. We need to figure out the possible relationships and overlaps in this family structure.

Let's consider a scenario where each grandmother is also a mother, and each mother is also a daughter. This is possible if we are speaking about a family consisting of three generations: the oldest generation (the grandmothers who are also mothers to the middle generation), the middle generation (the mothers who are also daughters to the oldest generation and mothers to the youngest generation), and the youngest generation (the daughters). If we set it up this way, we can have the smallest number of individuals who meet all the necessary conditions.

Here is the step-by-step explanation of the generational setup:

Thus, the three women in this family structure account for all 4 grandmothers, 4 mothers, and 4 daughters. Therefore, the minimum number of tickets required for this group would be 3.

Question:

Jack was planting a tree .he has to dig a hole that was 3 feet deep for every 5 feet of tree hight .How deep should he dig the whole for a tree that is 17 feet high

Answer:

6ft

Step-by-step explanation:

well, you have to gig 3 feet for every 5 feet

and 5 can go into 17 three times. and so you take

six away from 15.

srry if yo didn't understand the Step-by-step explanation i explaned it as best as i could.

The depth of the dig of a tree that is 17 feet high will be 10.20 feet.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Jack was establishing a tree. He needed to dig an opening that was 3 feet deep for every 5 feet of tree height.

The ratio of the length of the tree and the depth of the dig will remain constant.

Let 'd' be the depth of the dig for 17 feet tree. Then the equation is given as,

5 / 3 = 17 / d

d = (17 x 3) / 5

d = 51 / 5

d = 10.2 feet

The profundity of the dig of a tree that is 17 feet high will be 10.20 feet.

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Answer:

[tex]x=12\ units[/tex]

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of their corresponding sides is equal

so

In this problem

[tex]\frac{x}{24}=\frac{10.5}{21}[/tex]

[tex]x=24\frac{10.5}{21}[/tex]

[tex]x=12\ units[/tex]

The machine makes 560 springs in 8 hours if it makes 70 springs each hour.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Springs made by the machine in 1 hour = 70.

To find the number of springs made by machine in 8 hours,

Use ratio property,

In 1 hour machine makes = 70 springs

In 8 hours machine makes = 70 x 8 = 560 springs

Machine makes 560 springs in 8 hours.

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The problem is an algebraic one involving two linear equations. By setting up correct equations, solving them step-by-step, we find that the two numbers are 8 and 84.

This problem falls under algebra and specifically it involves solving linear equations. Let's denote the two unknown numbers as x and y. Given that 'One number is 4 less than eleven times another' we can formulate the first equation like this: y = 11x - 4. The second piece of information given is 'The sum of the two numbers is 92', so the second equation is x + y = 92.

We can substitute y from the first equation to the second equation which gives us: x + 11x - 4 = 92. Simplifying this gives us: 12x - 4 = 92. Solving for x we add 4 to both sides to get 12x = 96, and then divide both sides by 12 to find that x = 8.

Now that we have found x, we can substitute it back to one of the initial equations to find y. Substiting x = 8 into the equation y = 11x - 4 we find that y = 84. So the two numbers we are looking for are 8 and 84.

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The spider's average speed is 5/3 feet per minute, so in 3 minutes it could travel 5 feet.

To solve how far a spider could travel in 3 minutes based on its rate of 20 feet in 12 minutes, we use the concept of proportional relationships. The average speed of the spider can be calculated first.

The average speed is found by dividing the total distance by the total time. So, the spider's average speed is:

20 feet / 12 minutes = 5/3 feet per minute.

To find out how far the spider could travel in 3 minutes at this speed, we multiply the average speed by the time:

(5/3 feet per minute) x 3 minutes = 5 feet.

Thus, the spider could travel 5 feet in 3 minutes at the same rate.

The baker will need 27 cups of flour to go with the 18 cups of sugar when making the oversized sheet cake for the school dance.

The given ratio states that for every 2 cups of sugar, 3 cups of flour are needed in the recipe. We are given that the baker is using 18 cups of sugar and we need to find the corresponding amount of flour.

To determine the amount of flour needed, we can set up a proportion based on the ratio. Let's use "x" to represent the unknown amount of flour:

2 cups of sugar / 3 cups of flour = 18 cups of sugar / x cups of flour

Cross-multiplying the proportion, we get:

2 cups of sugar * x cups of flour = 18 cups of sugar * 3 cups of flour

Simplifying further:

2x = 54

Dividing both sides by 2, we find:

x = 27

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To calculate 24.2 divided by 0.2, convert the division into a multiplication by recognizing that dividing by 0.2 is the same as multiplying by 5. Thus, 24.2 times 5 gives the result of 121.

To calculate the quotient of 24.2 divided by 0.2, you can follow these steps: