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3 years ago

[(6.2* 8.4)-9.28 help

Mathematics

2 answers:

krek1111 [17]3 years ago

7 0

The answer is 42.8 when evaluated. You start wih the (). Hope this helps!

katovenus [111]3 years ago

6 0

42.8
First multiply then subtract is the rule

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What is the value of ¡97 - i?

Mrrafil [7]

Answer:

This is the answer

Step-by-step explanation:

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3 years ago

a windscreen wiper of a vehicle of length 30 cm clears out an angle of 180 degrees what is the area of the screen cleared take p

zavuch27 [327]

Answer:

Therefore the area of the screen cleared is 1414.28 cm².

Step-by-step explanation:

Given:

a windscreen wiper of a vehicle of length 30 cm

Consider this length as Radius of Semicircle, r = 30 cm

clears out an angle of 180 degrees implies Semicircle Shape

pie=22/7

To Find:

Area of the screen cleared

= ?

Solution:

We have

$\textrm{Area of Semicircle}=\frac{1}{2}\pi(radius)^{2}$

Substituting r and pie we get

$\textrm{Area of Semicircle}=\frac{1}{2}\times \frac{22}{7}(30)^{2}=1414.28\ cm^{2}$

Therefore the area of the screen cleared is 1414.28 cm².

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4 years ago

A box in the shape of a rectangular prism has a volume of 96 cubic feet. The box has a length of (x+8) feet, a width of x feet,

anygoal [31]

96=(x+8)*x*(x-2)=x^3 +6x^2 -16x. Solve to get x= -6,-4,4. Negative distance doesn't make sense, so x=+4. Therefore, length is (x+8)=(4+8)= 12, width=x=4, and height=(x-2)=(4-2)=2.

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3 years ago

There are 99 males and 121 females participating in a marathon. What percent of the participants are female?

ioda

To do this, we first want to see how many participants there are in total by adding both males and females.

$99+121=220$

Now we know that there were 220 total participants, but only 121 were females.

This allows us to set up the fraction 121/220= the percent female.

$\frac{121}{220} =0.55$

or 55%

8 0

3 years ago

A theater has a seating capacity of 750 and charges $3 for children, s5 for students, and $7 for adults. At a certain screening

-BARSIC- [3]

Answer:

Between 150 and 450

Step-by-step explanation:

We are going to find the number by resolving a system of linear equations.

First we write the system equations :

$C+S+A=750$

Where C : children, S : students and A : adults

The equation represents the ''full attendance''

The second equation :

$3C+5S+7A=3450$

This equation represents the totaled receipts.

The system :

$C+S+A=750\\3C+5S+7A=3450$

has the following associated matrix :

$\left[\begin{array}{cccc}1&1&1&750\\3&5&7&3450\end{array}\right]$

By performing elementary matrix operations we find that the matrix is equivalent to

$\left[\begin{array}{cccc}1&0&-1&150\\0&1&2&600\\\end{array}\right]$

The new system :

$C-A=150\\S+2A=600$

Working with the equations :

$C = 150 + A\\S = 600-2A$

Our solution vector is :

$\left[\begin{array}{c}C&S&A\end{array}\right] =\left[\begin{array}{c}150+A&600-2A&A\end{array}\right]$

For example :

If 0 adults attended ⇒ A = 0

$C = 150 + 0 \\C = 150\\S = 600 - 2A\\S = 600$

This verify the totaled receipts equation :

150($3)+600($5) = $ 3450

A ≥ 0 ⇒ If A = 0 ⇒ C = 150

C = 150 is the minimum children attendance

From the equation :

$S = 600 -2A$

S ≥0

600 - 2A ≥ 0

600 ≥ 2A

300≥ A

A is restricted to the interval [ 0, 300]

When A = 0 ⇒ C = 150

When A = 300 ⇒C = 150 + A = 150 + 300 = 450

Children ∈ [ 150,450]

With C being an integer number (including 0)

Also S and A are integer numbers (including 0)

7 0

3 years ago