A group of 72 students went on a field trip . The students traveled in vans , with an equal amount of boys and girls in each van . If 42 boys went on the trip ,how many vans were there?

Answer: -11.4, -9, 9.7, and 10.8

Step by step explanation: You had to subtract the actual height from the average height and then order the sum of each answer from least to greatest. Hope this helped!

To evaluate the expression (12x + 8) / 4 for x = 2, you multiply 12 by 2, add 8, and then divide by 4. The final answer is 8, which corresponds to option D.

To evaluate the expression (12x + 8) / 4 for x = 2, you substitute the value of x into the expression and then simplify. First, multiply 12 by 2 to get 24, then add 8 to get 32. After that, divide 32 by 4 to get the final answer.

Here is the step-by-step calculation:

The correct answer is D) 8.

https://brainly.com/question/21469837

#SPJ2

Final answer:

The expression representing the total weekly allowance Steven and Jill receive for doing the same number of chores is 14 + 5c, where c represents the number of chores done.

Explanation:

The question asks for an expression to represent the total allowance that Steven and Jill receive each week if they do the same number of chores. Steven gets a fixed allowance of $8 plus an additional $3 for each chore he completes, while Jill gets a fixed allowance of $6 plus $2 for each chore she completes.

Let's represent the number of chores they each do with the variable c. The expression for Steven's weekly allowance would be 8 + 3c, and the expression for Jill's weekly allowance would be 6 + 2c. To find the total combined allowance, we simply add the two expressions:

8 + 3c + 6 + 2c

Simplifying this expression, we combine like terms:

14 + 5c

This expression represents the total weekly allowance that their parents give to Steven and Jill together, if they do the same number of chores.

Final answer:

To find the necessary increase in wind speed for Tropical Storm Hamm to reach hurricane status, set up the inequality 42 + x >= 74, resulting in x >= 32. Hence, the wind speed must increase by at least 32 miles per hour.

Explanation:

To determine how much the wind speed must increase for Tropical Storm Hamm to become a hurricane, we use an inequality. We know that a storm becomes a hurricane when the wind speeds reach at least 74 miles per hour.

Currently, Tropical Storm Hamm has wind speeds of 42 miles per hour. Let's define the variable x as the increase in wind speed needed for the storm to reach hurricane status.

The inequality that represents this situation is:
42 + x ≥ 74

Now, we solve for x:

Subtract 42 from both sides of the inequality: x ≥ 74 - 42

Simplify: x ≥ 32

Therefore, the wind speed must increase by at least 32 miles per hour for Tropical Storm Hamm to become a hurricane.

To find the width of the rectangular garden, use the equation 2w + 9 = 21.5, which leads to a width of 6.25 meters after solving step by step. The total fencing used is 21.5 meters for the three sides, with the fourth side being the house.

Finding the Width of the Rectangular Garden

Given that three sides of the rectangular garden are fenced and the fourth side is the house, let's break down the problem step by step:

Since only three sides are fenced, the total length of the fencing is the sum of two widths and one length of the garden. Therefore, we can write this equation:

2w + 9 = 21.5

To find w, we solve the equation as follows:

Therefore, the width of the garden is 6.25 meters.

The height of the rectangular prism chest is approximately  34.93 units, calculated using the volume and base area formulas for rectangular prisms.

To find the height of the rectangular prism chest, we can use the formula for the volume of a rectangular prism, which is given by the product of its length, width, and height. Let's denote the height of the chest as h the length as l , and the width as w.

Given that the volume of the chest is 524 cubic units and the base area (length times width) is 15  square units, we have two equations:

1. [tex]\( l \times w \) (base area) \( = 15 \)[/tex] square units,

2. [tex]\( l \times w \times h \) (volume) \( = 524[/tex]) cubic units.

From the first equation, we can solve for one variable in terms of the other. Let's solve for l  in terms of w :

[tex]\[ l = \frac{15}{w} \][/tex]

Now substitute this expression for l into the second equation:

[tex]\[ \frac{15}{w} \times w \times h = 524 \][/tex]

Simplify:

15h = 524

Solve for h:

[tex]\[ h = \frac{524}{15} \][/tex]

h ≈ 34.93

So, the height of the chest is approximately  34.93  units.

Given

Elysse paid for her sandwich and drink with a $10 bill and received $0.63 in change.

The sandwich cost $7.75 and sales tax was $0.47.

Find out the  cost of her drink

To proof

Let the cost of her drink be x.

As given in the question

Elysse paid for her sandwich and drink with a $10 bill and received $0.63 in change.

Elysse paid for her sandwich and drink = 10 - 0.63              

                                                                 =  $ 9.37

sandwich cost $7.75 and sales tax was $0.47

Than the equation becomes

x = 9.37 - (7.75 + 0.47)

x = 9.37 - 8.22

x = $ 1.15

The cost of the drink is $ 1.15.

Hence proved      

Final answer:

The best estimate of the solution to the system of equations is (1, 5).

Explanation:

In order to find the best estimate of the solution to the system of equations graphed on a coordinate plane, we need to look for the point where the two lines intersect. This point represents the solution to the system of equations.

The coordinates (1, 5) are the best estimate of the solution to the system of equations.

We can see Karren rode farther

[tex]25[/tex] [tex]\frac{2}{5}[/tex]  with a common denominator is:

[tex]5+3=8[/tex]   [tex]2+3=5[/tex]

[tex]\frac{2}{5}+\frac{3}{3}=\frac{5}{8}[/tex]

so we know that Karren rode [tex]25\frac{5}{8}[/tex] miles which is more than Harrys [tex]25\frac{3}{8}[/tex]

Using division and a visual method, it is calculated that Gina has 71 quarters, given she has a total of $17.75.

Gina has $17.75 and since each quarter is worth $0.25, we need to find out how many quarters make up this amount. First, using division we have 17.75 ÷ 0.25 = 71. Therefore, Gina has 71 quarters.

The second method is a more visual and explanatory one. Since each quarter is 25 cents, four quarters make up a dollar. Therefore, if we have $17, that directly translates to 17 x 4 = 68 quarters. We also have 75 cents left which correspond to another 3 quarters (75 ÷ 25 = 3). Adding these together gives us 68 + 3 = 71 quarters. So, either way, Gina has 71 quarters.

https://brainly.com/question/12036455

#SPJ2