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3 years ago

Simplify the following expression. 11 + (4 × 11) - 11 - 5

Mathematics

1 answer:

user100 [1]3 years ago

5 0

Answer:

11+(4×11)-11-5=

11+44-11-5=

55-11-5=

44-5=

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Sean's grandfather is three years older than four times Sean's age. If Sean's grandfather is 63, which equation can be used to f

Elodia [21]

60 divided by 4.
EXPLANATION:
If his grandfathers age is 3 more than whatever 4 times seans age is. we can do 63 - 3. which is 60.
Then you fond seans age. 60 divided by 4 is the equation to find seans age.
sry its a bad explanation but I hope the answer helps!

5 0

3 years ago

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At a sale, dresses were sold for $90 each. This price was 75% of a

gulaghasi [49]

Answer:

A dress originally costs $120

Step-by-step explanation:

To find the original cost of the dress, we will follow the steps below;

let x represent the original cost of the dress

75% of x = $90

$\frac{75}{100}$ × x = $90

$\frac{75X}{100}$ = $90

MULTIPLY both-side of the equation by 100

$\frac{75X}{100}$ × 100 = $90×100

At the right-hand side of the equation, 100 will cancel out 100, leaving us with just 75x

75x = $9000

DIVIDE both-side of the equation by 75

75x/75 = $9000/75

At the left-hand side of the equation 75 will cancel-out 75 leaving us with just x

x= $9000/75

x = $120

A dress originally costs $120

3 0

3 years ago

A homogeneous rectangular lamina has constant area density ρ. Find the moment of inertia of the lamina about one corner

frozen [14]

Answer:

$I_{corner} =\frac{\rho _{ab}}{3}(a^2+b^2)$

Step-by-step explanation:

By applying the concept of calculus;

the moment of inertia of the lamina about one corner $I_{corner}$ is:

$I_{corner} = \int\limits \int\limits_R (x^2+y^2) \rho d A \\ \\ I_{corner} = \int\limits^a_0\int\limits^b_0 \rho(x^2+y^2) dy dx$

where :

(a and b are the length and the breath of the rectangle respectively )

$I_{corner} = \rho \int\limits^a_0 {x^2y}+ \frac{y^3}{3} |^ {^ b}_{_0} \, dx$

$I_{corner} = \rho \int\limits^a_0 (bx^2 + \frac{b^3}{3})dx$

$I_{corner} = \rho [\frac{bx^3}{3}+ \frac{b^3x}{3}]^ {^ a} _{_0}$

$I_{corner} = \rho [\frac{a^3b}{3}+ \frac{ab^3}{3}]$

$I_{corner} =\frac{\rho _{ab}}{3}(a^2+b^2)$

Thus; the moment of inertia of the lamina about one corner is $I_{corner} =\frac{\rho _{ab}}{3}(a^2+b^2)$

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3 years ago

What expression is equivalent to (^3√2^5)^1/4

Nezavi [6.7K]

Soo first apply the exponent rule (2^5)^1/3*1/4
1/3*1/4= 1/12
so (2^5)^1/12
then you apply the exponent rule again 2^5*1/2
so 5*1/12= 5/12
So the answer would be 2^5/12

6 0

4 years ago

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If WXYZ is a square, which statements must be true? Check all that apply.

OLga [1]

Answer:

A might be right

hope this is helpful

8 0

3 years ago