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Goryan [66]
3 years ago
12

Rearranging literal equations ASAP NEED HELP

Mathematics
1 answer:
Tju [1.3M]3 years ago
5 0

When we look at this thing for the first time, it looks like it's going to be a dog of a bear to solve, because 'q' is buried inside a squared term and a cubed term.

But this is why it's so important to learn that in math, you DON't immediately ignite your hair and go running around in circles as soon as you see the problem.  The first thing you have to do <u>every</u> time is sit still, look at the problem, breathe air, and switch your brain into the 'ON' position.

Look at that big ugly fraction in the equation.  Can it be simplified ? You betcha it can ! The quantity (q+r) is a factor of the numerator and denominator, so we can do some canceling.

Divide the top and the bottom of the fraction by (q+r)², and then the problem says . . .

<em>p = (q+r)/12  + 4r</em>

which is MUCH easier to unravel and solve for 'q' .  Let's do this !

p = (q+r)/12  + 4r

Subtract  (q+r)/12  from each side . . . p - (q+r)/12 = 4r

Subtract 'p' from each side . . . -(q+r)/12 = 4r - p

Multiply each side by -1 . . . (q+r)/12 = p - 4r

Multiply each side by 12 . . . (q+r) = 12p - 48r

Subtract 'r' from each side . . . <em>q = 12p - 49r</em>

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Shopping at Savers Mart, Lisa buys her children 4 shirts and 3 pairs of pants for $85.50. She returns the next day and buys 3 sh
maria [59]

Answer:

price for one shirt

=

$

7.50

price for one pair of pants

=

$

18.50

Explanation:

Start by letting variables

x

and

y

represent the pieces of clothing from the problem.

Let

x

be the price of one shirt.

Let

y

be the price of one pair of pants.

Equation

1

:

4

x

+

3

y

=

85.50

Equation

2

:

3

x

+

5

y

=

115.00

You can solve for each variable by using elimination or substitution. However, in this case, we will use use elimination. First, we will solve for

y

, the price of each pair of pants.

To isolate for

y

, we must eliminate

x

. We can do this by making the two equations have the same

x

values. First, we find the LCM of

4

and

3

, which is

12

. Next, multiply equation

1

by

3

and equation

2

by

4

so that

4

x

and

3

x

becomes

12

x

in both equations.

Equation

1

:

4

x

+

3

y

=

85.50

3

(

4

x

+

3

y

)

=

3

(

85.50

)

12

x

+

9

y

=

256.50

Equation

2

:

3

x

+

5

y

=

115.00

4

(

3

x

+

5

y

)

=

4

(

115.00

)

12

x

+

20

y

=

460.00

Now that we have two equations with

12

x

, we can subtract equation

2

from equation

1

to solve for

y

.

12

x

+

9

y

=

256.50

12

x

+

20

y

=

460.00

−

11

y

=

−

203.50

y

=

18.50

⇒

price for one pair of pants

Now that we know that a pair of pants is

$

18.50

, we can substitute this value into either equation

1

or

2

to find price for one shirt. In this case, we will choose equation

1

.

4

x

+

3

y

=

85.50

4

x

+

3

(

18.50

)

=

85.50

4

x

+

55.5

=

85.50

4

x

=

28

x

=

7.50

⇒

price for one shirt

∴

, the price for one shirt is

$

7.50

and the price for one pair of pants is

$

18.50

.

Step-by-step explanation:

yea

5 0
2 years ago
A light bulb consumes 3600 watt-hours per day. How long does it take to consume 17100 watt-hours?
Alexus [3.1K]
It will take 4.75 days, or 4 and 3/4's of a day if that's what you're looking for
4 0
3 years ago
What’s the range of this?
lbvjy [14]

Answer:

10 to 35

Step-by-step explanation:

3 0
3 years ago
Help Please &amp; thanks!
Travka [436]

Answer:

14 out of the total class of 35 are boys

Step-by-step explanation:

35 / 5 = 7

7 * 2 = 14

3 0
3 years ago
the width of a rectangle is 9m less than it's legnth if the perimeter of the rectangle is 54m find the legnth of the garden​
Nata [24]

Perimeter of rectangle = 2(l+w)

So, 54cm = 2(l+9cm)

=> 54cm = 2l + 18cm

=> 54cm - 18cm = 2l

=> 36cm = 2l

=> 36cm/2 = l

=> 18cm = l

4 0
2 years ago
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