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1 year ago

Make x the subject of the following relations. 2y+3=5x-18

Mathematics

1 answer:

nekit [7.7K]1 year ago

6 0

Step-by-step explanation:

2y+3=5x-18

swap both sides

5x-18=2y+3

add 18 to both sides

5x-18+18=2y+3+18

5x=2y+21

divide both sides by

5x/5=2y+21/5

X=2y+21/5

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Bryan has a balance of 320 in his checking account he spends 15 each week for the next eight weeks. write an equation showing hi

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Bryan spends T=15x
320 divided by 15 is and average of $21 per week

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1 year ago

a movie theater has 14 different movies showing. If you want to attend no more than 3 of the movies, how many different combinat

zvonat [6]

14C3 = 14! / 11!3!

= 14 x13 x12 / 3x2x1 
= 2184 / 6 
= 364 different combinations 

The first movie can be any of 14 
As you have already seen one the second movie can be any of the 13 remaining 
As you have already seen two the third movie can be any of the 12 remaining. 

Therefore there are 14 x 13 x 12 = 2184 PERMUTATIONS of movies you can see. 
However among those 2184 different permutations will be instances where you have watched the same three movies but just in a different order. 
eg ET, The Piano, Harry Potter = ET Harry Potter The Piano = The Piano, ET, Harry Potter = The Piano Harry Potter ET = Harry Potter ET The Piano = Harry Potter The Piano ET. 
For each set of three films there are 3! or 3x2x1 or SIX different ways they can be arranged in. 
Therefore we need to DIVIDE the above 2184 permutations by 6 to get the number of COMBINATIONS of different films that can be watched. 
2184 / 6 = 364

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1 year ago

A small cube with side length 6y is placed inside a larger cube with side length 4x^2. What is the difference in the volume of t

fomenos

the different volume is the numbers. 4*2*6=?

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1 year ago

Read 2 more answers

To find the area of parallelogram RSTU, Juan starts by drawing a rectangle around it. Each vertex of parallelogram RSTU is on a

STatiana [176]

Answer:

The value that can be subtracted from the area of the rectangle to give the area of the parallelogram = 1/2 × 4.1245 × 0.1085

Step-by-step explanation:

The given parameters are;

The coordinates of parallelogram RSTU are;

R(-4, -3), S(-5, 1), T(4, 3), U(5, -1)

The lengths of the sides are (using an online length calculator);

RS = 4.1231

RT = 10

ST = 9.2195

SU = 10.198

TU = 4.1231

UR = 9.2195

Therefore, by definition of a parallelogram, we have;

RS║TU and ST║UR

The slope of RS = (1 - (-3))/(-5 - (-4)) = -4

The slope of ST = (3 - 1)/(4 - (-5)) = 2/9

The equation of the line perpendicular to ST is therefore;

y - 1 = -9/2×(x - (-5))

y = -9x/2 - 43/2

The equation of RS = y - (-3) = 1/4×(x - (-4)) = x/4 + 1

y = x/4 - 2

The point where the two lines meet is therefore;

-9x/2 - 43/2 = x/4 - 2

x = -78/19

y = -115/38

The length of the side of the rectangle = 4.1245

The excess width of the rectangle = 0.1085

The value that can be subtracted from the area of the rectangle to give the area of the parallelogram = 1/2 × 4.1245 × 0.1085.

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1 year ago

When performing a horizontal analysis on an income statement, the percentage change in any individual item is calculated by div

oksian1 [2.3K]

Answer: C. the base period amount.

Explanation: While implementing a horizontal analysis on a given income statement, we compute a percentage change in any individual item by dividing the dollar amount of change from base to current time period with the base period amount.

i.e. % Change in Individual item = $\frac{Current\ Dollar\ - Base\ Dollar }{Base \ period \ amount}$

Therefore, the correct option in this case is (c)

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1 year ago

Make x the subject of the following relations. 2y+3=5x-18​

Make x the subject of the following relations. 2y+3=5x-18