A cart travels a distance of 3.6 meters in 1.8 seconds. The average speed of the cart is: Answer: meters per second.

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]

The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

To find the factors of a number, we identify all the whole numbers that can be divided evenly into the original number.

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30

Thus the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

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.

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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 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.

The answer is $3.15.

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!

The expression and the evaluation are that represents the total amount of time should be

[tex]= 35\times 3 + 55\times 2\\\\= 105 + 110[/tex]

and 215 minutes.  

Given that,

Based on the above information, the calculation is as follows:

[tex]= 35\times 3 + 55\times 2\\\\= 105 + 110[/tex]

= 215 minutes

Therefore we can conclude that the expression that represents the total amount of time should be 215 minutes.  

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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.