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2 years ago

5/4x=3/2 how to solve it and find x

Mathematics

2 answers:

____ [38]2 years ago

4 0

Answer:

x=65

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

5/4*x-(3/2)=0

Simplify —

Equation at the end of step

5 3

(— • x) - — = 0

4 2

STEP

Simplify —

Equation at the end of step

5 3

(— • x) - — = 0

4 2

STEP

Calculating the Least Common Multiple :

3.1 Find the Least Common Multiple

The left denominator is : 4

The right denominator is : 2

sertanlavr [38]2 years ago

3 0

X= 6/5 hope this helps

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jenna's rectangular garden borders a wall. she buys 80 ft of fencing. what are the dimensions of the garden that will maximize i

FrozenT [24]

Answer:

The dimensions are x =20 and y=20 of the garden that will maximize its area is 400

Step-by-step explanation:

Step 1:-

let 'x' be the length and the 'y' be the width of the rectangle

given Jenna's buys 80ft of fencing of rectangle so the perimeter of the rectangle is 2(x +y) = 80

x + y =40

y = 40 -x

now the area of the rectangle A = length X width

A = x y

substitute 'y' value in above A = x (40 - x)

A = 40 x - x^2 .....(1)

Step :2

now differentiating equation (1) with respective to 'x'

$\frac{dA}{dx} = 40 -2x$ ........(2)

Find the dimensions

$\frac{dA}{dx} = 0$

40 - 2x =0

40 = 2x

x = 20

and y = 40 - x = 40 -20 =20

The dimensions are x =20 and y=20

length = 20 and breadth = 20

Step 3:-

we have to find maximum area

Again differentiating equation (2) with respective to 'x' we get

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

Now the maximum area A = x y at x =20 and y=20

A = 20 X 20 = 400

Conclusion:-

The dimensions are x =20 and y=20 of the garden that will maximize its area is 400

verification:-

The perimeter = 2(x +y) =80

2(20 +20) =80

2(40) =80

80 =80

8 0

3 years ago

Nick needs to raise at least $320 for his trip. He has $80 saved already, and he makes $40 per yard that he mows. Write and solv

Anestetic [448]

Answer: Nick must now at least 6 yards.

Step-by-step explanation:

Since Nick has $80 saved already, and he makes $40 per yard that he mows, thus can be put up in an equation as:

= 80 + 40y

where y = number of yards

Since Nick needs to raise at least $320 for his trip, the equation to solve this will be:

80 + 40x ≥ 320

40x ≥ 320 - 80

40x ≥ 240

x ≥ 240/40

x ≥ 6

Therefore, Nick must now at least 6 yards.

4 0

2 years ago

Y=-2x+1, y=-2/3x+5 solve using substitution

Bogdan [553]

Y=-2x+1, y=-2/3x+5
X= -3 and Y =7

6 0

3 years ago

|3O+(-17)| I REALLY NEED TO KNOW PLZZZZZ

Soloha48 [4]

✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽

➷ $30 + 17$

➷ $30 + -17$

➷ $= 13$

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ May ♡

4 0

3 years ago

Read 2 more answers

How many even 5-digit numbers can be formed from the numbers 1, 2, 4, 7, 8 if no digit is repeated in a number? A. 72 B. 120 C.

katovenus [111]

Hello,

Let's place the last digit: it must be 2 or 4 or 8 (3 possibilities)

It remainds 4 digits and the number of permutations fo 4 numbers is 4!=4*3*2*1=24

Thus there are 3*24=72 possibilities.

Answer A

If you do'nt believe run this programm

DIM n(5) AS INTEGER, i1 AS INTEGER, i2 AS INTEGER, i3 AS INTEGER, i4 AS INTEGER, i5 AS INTEGER, nb AS LONG, tot AS LONG
tot = 0
n(1) = 1
n(2) = 2
n(3) = 4
n(4) = 7
n(5) = 8
FOR i1 = 1 TO 5
 FOR i2 = 1 TO 5
 IF i2 <> i1 THEN
 FOR i3 = 1 TO 5
 IF i3 <> i2 AND i3 <> i1 THEN
 FOR i4 = 1 TO 5
 IF i4 <> i3 AND i4 <> i2 AND i4 <> i1 THEN
 FOR i5 = 1 TO 5
 IF i5 <> i4 AND i5 <> i3 AND i5 <> i2 AND i5 <> i1 THEN
 nb = ((((n(i1) * 10) + n(i2)) * 10 + n(i3)) * 10 + n(i4)) * 10 + n(i5)
 IF nb MOD 2 = 0 THEN
 tot = tot + 1
 END IF
 END IF
 NEXT i5
 END IF
 NEXT i4
 END IF
 NEXT i3
 END IF
 NEXT i2
NEXT i1
PRINT "tot="; tot
END

7 0

3 years ago