Please explain how to solve this On Monday,it took Helen 3 hours to do a page of science homework exercises.The next day she did the same number of exercises in 2 hours.If her average rate on Monday was p exercises per hour,what was her average rate the next day, in terms of p?

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The volume of a triangular prism with base dimensions of 4 cm height and 10 cm base and a prism height of 15 cm is??

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I think you can do this way:
Volume = B*h where B is the area of the base.
B= 4 * 10 = 40
V= 40 * 15
V= 600 cm^3

So,

Your question has already provided the necessary information for us to be able to compute the volume. To find the volume of the triangular prism, you just need to multiply the area of the base (a triangle) by the height (15).

We already know how to find the area of a triangle.

$(1)/(2) (10)(4)$

5(4)

20 cm²

Now, multiply that by the height of the prism.

20 * 15 = 300 cm³

The volume of the triangular prism is 300 cm³.

AB+C=50
BC+A=41
What is A, B, C

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For the given system of equations, when B = 2, the values are A = 133 and C = -216. Values will vary with different choices of B.

To solve for the values of A, B, and C in the system of equations:

AB + C = 50

BC + A = 41

We can use a systematic approach. Let's first isolate one variable in one equation and then substitute it into the other equation.

From the first equation (AB + C = 50), we can isolate C:

C = 50 - AB

Now, substitute this expression for C into the second equation:

B(50 - AB) + A = 41

Expand and simplify:

50B - $AB^2$ + A = 41

Rearrange terms:

$AB^2$ - 50B + A = 41

Now, let's consider this as a quadratic equation in terms of A and solve for A:

A = 41 - $AB^2$ + 50B

Now that we have expressions for A and C in terms of B, we can choose a value for B, and then calculate the corresponding values of A and C. For instance, let's say B = 2:

A = 41 - (2)( $2^2$ ) + 50(2) = 41 - 8 + 100 = 133

C = 50 - (2)(133) = 50 - 266 = -216

So, for B = 2, we have A = 133 and C = -216. You can similarly calculate values for different values of B.

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Complete question below:

What are the values of A, B, and C in the system of equations:

AB + C = 50

BC + A = 41?

A=4
B=3
C=7

43+7=50
37+4=41

The vista marina rents boats for $25 per hour in addition to the rental fee there is a $12 charge for fuel.Use a table to determine if the number of hours you rent the boat for is proportional to the total cost explain

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well that's easy the answer is going to be 182

The expression 1/2 times(4+8) represent the number of hours Mrs nakos work that last week of school.evaluate the expression to find the number of hours she works that week

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The expression $(1)/(2) * (4 + 8)$ represents the number of hours Mrs. Nakos worked during the last week of school. When expression evaluated, it equals 6 hours. So, Mrs. Nakos worked 6 hours that week.

To find the number of hours Mrs. Nakos worked during the last week of school, you can evaluate the expression $(1)/(2) * (4 + 8)$ step by step:

1. Start by evaluating the expression inside the parentheses:

$4 + 8 = 12$

2. Now, you have the expression $$ (1)/(2) * 12 $.$ To calculate this, multiply 12 by
$(1)/(2)$ since dividing by 2 is the same as multiplying by $$ (1)/(2) $:$
$(1)/(2) * 12 = 6$

So, Mrs. Nakos worked 6 hours during the last week of school.

The expression $(1)/(2) * (4 + 8)$ represents the number of hours worked, and when evaluated, it equals 6 hours. Therefore, Mrs. Nakos worked 6 hours that week.

For more such questions on evaluating expressions:

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1\2times(4+8)
4+8=12
12divide2=6
6times7=42

*for 1\2 you can divide by 2 or multiply by .5

Cuantos pedazos de cinta de 1/4 de metro se pueden obtener de un rollo de cinta que mide 15/2? 30 pedazos.
60 pedazos.
15 pedazos.
45 pedazos.