a railroad car container can hold 42,000 pounds. Mr.Evans wants to ship 90 ovens and some freezers in the same container. If each freezer weighs 600 pounds, how many freezers can be shipped in the container? Explain

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 find the cost per pound of flour, we set up two equations based on the purchases and solved the system of linear equations, resulting in a cost of $0.30 per pound of flour.

The question involves solving a system of linear equations to determine the cost per pound of flour. By setting up two equations based on the given transactions, we can solve for the prices of sugar and flour. Let's designate the cost per pound of flour as f and the cost per pound of sugar as s.

The first purchase equation is: 12s + 15f = $9.30.
The second purchase equation is: 4s + 10f = $4.60.

To solve for f, we can multiply the second equation by 3, which gives us 12s + 30f = $13.80, then subtract the first purchase equation from this to eliminate s and solve for f. By subtracting we get: 15f - 30f = $13.80 - $9.30, which simplifies to -15f = $4.50.

Dividing both sides by -15 gives us the cost per pound of flour: f = $0.30.

To demonstrate proportionality between two objects, utilize a table to observe constant ratios, plot points on a graph to confirm a linear relationship passing through the origin, and formulate an equation representing the proportional relationship.

To demonstrate proportionality between two objects, you can use a table, graph, and equation.

Firstly, create a table with corresponding values of the two objects. If they are proportional, their ratios should remain constant.

Secondly, plot the points on a graph with one object on the x-axis and the other on the y-axis.

If the points form a straight line passing through the origin, it indicates proportionality.

Lastly, formulate an equation representing the relationship between the two objects.

For example, if the objects are x and y, and they are proportional, then y = kx, where k is the constant of proportionality.

By analyzing the table, graph, and equation, you can conclusively establish proportionality between the two objects.

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 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.

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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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.

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]

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.

We can choose a starting number to be 1. Following the rules from card one, the sequence would be as follows;

1, 2.6, 2.93, 9.43, 9.68

How to write the terms in a sequence

To write the terms in the sequence above, we started with the number 1. This is followed up by applying the rules listed on the card. So, we first add 1.6 to 1, then add 0.33, 6.5, and add 0.25. The resulting values that are borne from this addition would be 1, 2.6, 2.93, 9.43, 9.68.

Description of the pattern is a method that describes the rule or pattern governing the sequence without providing a specific formula or recursion. We could describe a sequence as increasing by 2  or alternating between 1 and 2.

Final answer:

To determine how many times 48 goes into 132, perform a division, resulting in 48 going into 132 exactly 2 times with a remainder of 36.

Explanation:

The student has asked how many times 48 goes into 132. To find out, we perform a division, with 132 being the dividend and 48 being the divisor.

We start the division process by seeing how many times 48 can fit into 132. Dividing 132 by 48, we get:

48 goes into 132 twice (2 times), which equals 96.

Subtract 96 from 132, which leaves us with a remainder of 36.

Since 36 is less than 48, we cannot divide any further without getting into fractions or decimals.

The result is that 48 goes into 132 a total of 2 full times with a remainder of 36.