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uranmaximum [27]
3 years ago
13

Which is an example of an algebraic expression? A. m – 3 B. b > –2 C. 4 c > 1 D. 12 = a 6

Mathematics
1 answer:
Rasek [7]3 years ago
6 0
In a algebraic expression, numbers and/or variables have to EQUAL other numbers and/or variables.

A. m - 3 INCORRECT because it doesn't equal anything

B and C are also INCORRECT. They have greater than saigns, which means they are inequalities.

D is the answer 
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The original price is $60.The sales price is $45. What is the percent of discount?
MariettaO [177]
Hey there!

To start, first subtract 45 from 60 to find the amount of money taken off from the discount:
60-45
=15

Because 15 dollars have been taken off the original price, you can find the percent of discount by setting up this proportion where x represents the percent of discount:
15/60=x/100

Now, cross multiply and solve for x:
1500=60x
x=25

Therefore, your discount would be 25%.

Hope this helps and have a marvelous day! :)
5 0
3 years ago
Apply the distributive property to create an equivalent expression.<br><br> ​ <br> 1/2 (2a−6b+8) = ?
katen-ka-za [31]

Answer:

a-3b+4

Step-by-step explanation:

1/2 (2a−6b+8) =

=1/2*2a-1/2*6b+1/2*8

=a-3b+4

5 0
3 years ago
Read 2 more answers
Help please calculus
VLD [36.1K]

Let x, y, and z denote the side lengths of the box, with the bottom face having dimensions x-by-y and z is the height. Naturally this means each of x, y, and z must be greater than 0.

The box has a fixed volume of 252 cm³, so

xyz = 252

The surface area of the box is

2xy + 2xz + 2yz

and we're told that the material cost for each face is different. The total cost of the material needed to make the box is given by

C (x, y, z) = ($5/cm²) xy + ($2/cm²) xy + 2 ($3/cm²) (xz + yz)

or, omitting units and simplifying,

C (x, y, z) = 7xy + 6 (x + y) z

In the volume constraint, solve for any one variable; I'll do z.

z = 252/(xy)

Substitute this into the cost function:

C (x, y, 252/(xy)) = 7xy + 1512 (x + y)/(xy)

Since this is now a function of 2 variables, I'll rewrite this as

C* (x, y) = 7xy + 1512 (1/y + 1/x)

Compute the partial derivatives of C and find the critical points:

∂C/∂x = 7y - 1512/x² = 0   ⇒   x² y = 216

∂C/∂y = 7x - 1512/y² = 0   ⇒   x y² = 216

It follows that

x² y = x y²   ⇒   x = y

Just like before, we can think about C* as yet another function but only of 1 variable,

C** (x) = 7x² + 3024/x

Now find the critical points of C** :

dC**/dx = 14x - 3024/x² = 0   ⇒   x = 6

All of this tells us that C (x, y, z) has a critical point when x = y = 6 and z = 252/6² = 7. So the box that costs the least has dimensions 6 × 6 × 7 cm, which gives the box a surface area of 240 cm² and a total cost of $756.

6 0
2 years ago
Suppose a can of paint has a diameter of 14 cm and a height of 16 cm. What is the volume of paint in the can? (to nearest whole
alukav5142 [94]
Divide 14 by 2 to get the radius and plug into formula.
pi 7^2 16
pi 49 16= pi784=2462.7
2463 cm3 is the answer 
5 0
3 years ago
What is the product of -3 and 5
weeeeeb [17]

Answer:

45 is the correct answer

6 0
3 years ago
Read 2 more answers
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