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skad [1K]
2 years ago
10

A school bus has 22 rows of seats, and 4 students can be seated in each row. Students riding in the bus have filled 19 rows of s

eats, and 1/2 of the remaining seats. How many seats on the bus are empty (e)?
Mathematics
1 answer:
Lelu [443]2 years ago
3 0

Answer:

6

Step-by-step explanation:

total no. of seats = 22 x 4 = 88

total no. of seats occupied = 19 * 4 + (22-19)*4/2 = 76 + 6 = 82

no. of empty seats = 88 -82 = 6

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What does x equal in this equation: 24+3x=3x+3(7-1) Please help this is due tomorrow!
Zinaida [17]

                                              24 + 3x = 3x + 3(7 - 1)

Eliminate the parentheses:    24 + 3x = 3x + 3(6)

                                              24 + 3x = 3x + 18

Subtract  3x  from each side:       <em>24  =  18</em>

Look at that for a second.  Can ANY value of 'x' make 24 equal to 18 ?
I don't think so.
There's NO number that makes the equation a true statement.

That's just another way to say: "The equation has NO solution."


3 0
3 years ago
Which statement describes the inverse of m(x) = x^2 – 17x?
DochEvi [55]

Given:

The function is

m(x)=x^2-17x

To find:

The inverse of the given function.

Solution:

We have,

m(x)=x^2-17x

Substitute m(x)=y.

y=x^2-17x

Interchange x and y.

x=y^2-17y

Add square of half of coefficient of y , i.e., \left(\dfrac{-17}{2}\right)^2 on both sides,

x+\left(\dfrac{-17}{2}\right)^2=y^2-17y+\left(\dfrac{-17}{2}\right)^2

x+\left(\dfrac{17}{2}\right)^2=y^2-17y+\left(\dfrac{17}{2}\right)^2

x+\left(\dfrac{17}{2}\right)^2=\left(y-\dfrac{17}{2}\right)^2        [\because (a-b)^2=a^2-2ab+b^2]

Taking square root on both sides.

\sqrt{x+\left(\dfrac{17}{2}\right)^2}=y-\dfrac{17}{2}

Add \dfrac{17}{2} on both sides.

\sqrt{x+\left(\dfrac{17}{2}\right)^2}+\dfrac{17}{2}=y

Substitute y=m^{-1}(x).

m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}

We know that, negative term inside the root is not real number. So,

x+\left(\dfrac{17}{2}\right)^2\geq 0

x\geq -\left(\dfrac{17}{2}\right)^2

Therefore, the restricted domain is x\geq -\left(\dfrac{17}{2}\right)^2 and the inverse function is m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}.

Hence, option D is correct.

Note: In all the options square of \dfrac{17}{2} is missing in restricted domain.

7 0
3 years ago
The aspect ratio of a TV screen is a ratio of the screen's width to the screen's height. Suppose that Noel recycles an old TV sc
Paul [167]

If the diagonal is 32 than you will us

A^2 + b^2 = c^2

We will use the aspect ratio to find a common variable

4A = 3B

a = (3/4)B now plug it in

((3/4)B)^2 + b^2 = 32 (This is because c is the diagonal)

Now solve for B

B turns out to be 25.577 inches

Plug B in

A = (3/4)(25.577)

A = 19.18

Now add up ther perimeter A + A + B + B

19.18 + 19.18 + 25.577 + 25.577

89.6 inches


8 0
3 years ago
Line m is parallel to Line n.
soldi70 [24.7K]
I hope this helps. Have a good day.

6 0
3 years ago
Need help with this question.
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3 years ago
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