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4 years ago

Solve the following equation, and check your solution. Be sure to show all work.

Mathematics

1 answer:

sweet-ann [11.9K]4 years ago

3 0

1. Subtract 24 from both sides

-3x = -27 - 24

Simplify -27 - 24 to -51

-3x = -51

Divide both sides by -3

x = -51/-3

Two negatives make a positive

x = 51/3

Simplify 51/3 to 17

x = 17

2. Regroup terms

n/5 - 17 = 33

Add 17 to both sides

n/5 = 33 + 17

Simplify 33 + 17 to 50

n/5 = 50

Multiply both sides by 5

n = 50 * 5

Simplify 50 * 5 to 250

n = 250

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Every 4 hours a machine produces 12 baskets what is the unit rate

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Step-by-step explanation:

3 hours per basket

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3 years ago

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Answer:

-1

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3 years ago

A rectangular area is to be enclosed by a wall on one side and fencing on the other three sides. If 18 meters of fencing are use

Rashid [163]

Answer:

$A = L W= 9*\frac{9}{2}=\frac{81}{2} m^2$

Step-by-step explanation:

For this case we assume that the total perimeter is 18 ft, we have a wall and the two sides perpendicular to the wall measure x units each one so then the side above measure P-2x= 18-2x.

And we are interested about the maximum area.

For this case since we have a recatangular area we know that the area is given by:

$A= LW$

Where L is the length and W the width, if we replace from the values on the figure we got:

$A(x)= x *(18-2x) = 18x -2x^2$

And as we can see we have a quadratic function for the area, in order to maximize this function we can use derivates.

If we find the first derivate respect to x we got:

$\frac{dA}{dx} = 18-4x=0$

We set this equal to 0 in order to find the critical points and for this case we got:

$18-4x=0$

And if we solve for x we got:

$x=\frac{18}{4}=\frac{9}{2} m$

We can calculate the second derivate for A(x) and we got:

$\frac{d^2 A}{dx^2}= -4$

And since the second derivate is negative then the value for x would represent a maximum.

Then since we have the value for x we can solve for the other side like this:

$L= 18-2x = 18-2 \frac{9}{2}= 18-9 =9m$

And then since we have the two values we can find the maximum area like this:

$A = L W= 9*\frac{9}{2}=\frac{81}{2} m^2$

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3 years ago

Seth can build a doghouse in 6 hours. Violet can build a doghouse in 5 hours. How long will it take to build the dog house if th

Sliva [168]

Answer:

It will take a total of 2.73 hours if they worked together

Step-by-step explanation:

Here, we are seeking to calculate the joint rate.

Let the amount of work to be done is say x

Seth’s rate will be x/6 , while violet’s rate will be x/5

Their joint rate will be ;

x/6 + x/5 = 11x/30

The time it will take them to build the house together will be equal to the amount of work divided by the joint rate.

That will be x divided by 11x/30

= x * 30/11x

= 30/11 hours which is Approximately 2.73 hours

4 0

4 years ago

FIND THE EXACT AREA PLEASE HELPPPP ILL GIVE BRAINLIESTTTT

Ede4ka [16]

Answer:

555.94

Step-by-step explanation:

16 x 11 = 176/2

since there are two of the same triangle

88 x 2

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11 is the radius

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A = 3.14 ( pie is 3.14, if not then pi) x (11x11)

A = 3.14 x 121 (or 121 $\pi$ )

A = 379.94

379.94 + 176 (or 121pi + 176)

555.94

4 0

2 years ago