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Sergeu [11.5K]
3 years ago
8

What is three fourths multiplied by five?

Mathematics
2 answers:
Savatey [412]3 years ago
7 0
3/4 times 5=
5 times 3=15
15/4=3 3/4
3 3/4 is answer
krek1111 [17]3 years ago
7 0
3 75/100 or 3 3/4(simplified) is the answer
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  $86

Step-by-step explanation:

Since the interest varies directly, doubling the rate will double the interest.

The interest is $86 when the rate is 8%.

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The sum of 3x2 + x – 7 and x² + 10 can be expressed as
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Solve for x.
konstantin123 [22]

Answer:

The value of x = 9

Step-by-step explanation:

Angle Bisector Theorem

An angle bisector of a triangle would cut the opposite side into two segments that are proportional to the other two sides of the triangle.

Thus,

\frac{x}{15}=\:\frac{12}{20}

Cross Multiply the expression

\:20\times x=12\times 15

Divide both sides by 20

\frac{20x }{20}=\frac{180}{20}

x=9

Therefore, the value of x = 9

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Help please calculus
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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.

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2 years ago
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