MATHEMATICS HIGH SCHOOL

The volume of a rectangular box is 1,701 cubic inches. The box has a height of 10.5 inches and a length of 24 inches. What is the width of the box?6.75 inches

70.875 inches

162 inches

252 inches

Answers

Answer 1
Answer: 6.75 inches. 10.5 X 24 gives you the area of the face, then to find the width you do the total area divided by this number. 1701/252=6.75
Answer 2
Answer: The volume of a cuboid is:
width x depth x height

Hence we can formulate this equation for the volume:
10.5 x 24 x width = 1,701
252 x width = 1,701
Width = 6.75 (divide by 252)

Check for the equation:
10.5 x 6.75 x 24 = 1,701.

Hope I helped!

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Jean Marie has $4,000 in the bank, $500 worth of credit card debt and a $15,000 student loan. Jean Marie would like to know her net worth. She finds the difference between her assets, $4,500, and her liabilities, $15,000, and determines her net worth is -$10,500. Evaluate Jean Marie's determination.- Her calculations are correct.
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Answers

4,000 in bank -500 and 15000 so she had  -20000 +4000 so it equals -16000

If an equation is an identity, how many solutions does it have?
zero
one
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Answers

If it's an identity over an infinite field, then it has an infinite number of solutions.

if the equation is h= -2x^2 + 12x -10

how do I find the max height?

Answers

One other way to solve this question is finding the derivative

h=-2x^2+12x-10

h'=-4x+12

now we have to find when this function will be zero

-4x+12=0

\boxed{\boxed{x=3}}

now we just replace this value at our initial function

h=-2x^2+12x-10

h_(max)=-2*(3)^2+12*3-10

h_(max)=-18+36-10

\boxed{\boxed{h_(max)=8}}
The maximum height is the ordinate value of the vertex of the parabola, ie: yV

Calculating yV:

y_V=(-\Delta)/(4a)\n \n y_V=-[(12^2-4*(-2)*(-10)])/(4*(-2))=(-(144-80))/(-8)=(-64)/(-8)=8

The symmetry of a hyperbola with a center at (h, k) only occurs at y = k.

True or False

Answers

Answer:

The given statement is a False statement.

Step-by-step explanation:

We know that the center of a hyperbola is the mid-point of the transverse axis of the hyperbola.

If the curves of hyperbola opens up and down such that the center is (h,k) then the symmetry of hyperbola is:

                             y=k

and if the curve opens to the right and to the left and the center is at (h,k) then the symmetry of hyperbola is:

                               x=h

Hence, the statement:

    The symmetry of a hyperbola with a center at (h, k) only occurs at y = k.

is FALSE.

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Answers

the smallest number would be 2,478

How many solutions does the equation 3x + 6 = − 1 − 3 + 4x have?Two
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One
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Answers

Answer:

The number of solutions of the equation is:

                                    One.

Step-by-step explanation:

We are asked to find the number of solutions of the equation:

3x+6= -1-3+4x

(

We know that a expression has a unique or one solution if it gives a single value of x after solving the expression.

and we obtain a no solution when the equation gives a false result i.e. the left and right hand side of equality are different.

and infinite many solution if the left and right hand side of equality is same but we can't get a fix value of x )

Now on solving the expression we have:

                     3x+6= -4+4x

i.e.                 4x-3x=6+4

i.e.                      x=10  

Hence, we get a unique value of x.

Hence, the equation has one solution.
it has One solution and to get it solve the equation for x :
6+1+3=4x-3x
x=10
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