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Jet001 [13]
1 year ago
11

What is the solution for x in the equation? -4 + 5x − 7 = 10 + 3x − 2x A.  B.  C.  D. 

Mathematics
1 answer:
laiz [17]1 year ago
8 0

Answer:

x=21/4

Step-by-step explanation:

1. combine like terms

-4+-7= -11  3x-2x=x

2. subtract x

5x-11=x+10

4x-11=10

3. add 11

4x=21

4. divide 21 by 4 = 21/4

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Stephanie buys a book in a sale for $19.20 . This sale price is after a reduction of 20%. Calculate the original price of the bo
faust18 [17]

Answer:

$96 is the original price of  book

Step-by-step explanation:

keep the unknown value as X

(19.2/X)*100 = 20%

19.2/X = 0.2

19.2/0.2 = X

X = 96

6 0
1 year ago
Use Lagrange multipliers to find three positive numbers whose sum is 210 and whose product is maximum. (Enter your answers as a
nalin [4]

Answer: the three positive numbers are; 70, 70, 70

Step-by-step explanation:

Given that sum is equal = 210

Lets ( x, y, z ) be the three positive numbers

such that

x + y + z = 210

what is the maximum of xyz

take f(x,y,z) = xyz

Q(x,y,z) = 0

x + y + z -210 = 0

consider the function

F(x,y,z) = f(x,y,z) + λQ(x,y,z)

F = xyz + λ(x+y+z-210)

dF/dx = 0 ⇒ yz + λ(1) = 0 ⇒ λ = -yz   ..............equ(1)

dF/dy = 0 ⇒ xz + λ(1) = 0 ⇒ λ = -xz.................equ(2)

dF/dz = 0 ⇒ xy + λ(1) = 0 ⇒ λ = -xy...............equ(3)

Now

equ(1)/equ(2) ⇒ λ/λ = -yz/-xz ⇒ x = +y

equ(1)/equ(3) ⇒ λ/λ = - yz/-xy ⇒ x = +z

⇒ y = z = x

by substitution

x + y + z = 210

x + x + x = 210

3x = 210

x = 210/3 = 70

∴ x, y, z = 70, 70 ,70

MAXIMUM

∛xyz = 70  { when x = y = z = 70}

7 0
1 year ago
What is the constant of variation, k, of the direct variation, y = kx, through (5, 8)? k = – k equals negative StartFraction 8 O
Reil [10]

The value of constant of variation "k" is k = \frac{8}{5} \text{ or } 1.6

<em><u>Solution:</u></em>

Given that the direct variation is:

y = kx ----- eqn 1

Where "k" is the constant of variation

Given that the point is (5, 8)

<em><u>To find the value of "k" , substitute (x, y) = (5, 8) in eqn 1</u></em>

8 = k \times 5\\\\k = \frac{8}{5}\\\\k = 1.6

Thus the value of constant of variation "k" is k = \frac{8}{5} \text{ or } 1.6

3 0
1 year ago
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Jim currently has $1,250 in his bank account and Sally has $1,400 in her bank account. Jim deposits $27.50 per week and Sally de
horrorfan [7]

Answer:In 20 weeks they will have the same amount of money.

Step-by-step explanation:

5 0
1 year ago
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If 123 means "very hot day", 356 means "hot filtered coffee", 289 means "day and night". The numeral that stands 'very' is:
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Answer:

1

Step-by-step explanation:

8 0
2 years ago
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