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3 years ago

Total brain fart! 24+5x=-x+6(5a-4)

Mathematics

1 answer:

kow [346]3 years ago

3 0

Answer:

When solving for x, answer = $\large\boxed{x = 5a - 8}$

When solving for a, answer = $\large\boxed{a = 1/5x + 8/5}$

Step-by-step explanation:

24 + 5x = -x + 6(5a - 4)

Start by multiplying 6 by the values in the parenthesis

24 + 5x = -x + 30a - 24

Add 24 to both sides of the equation

48 + 5x = -x + 30a

Add 1x to both sides of the equation

48 + 6x = 30a

Subtract 48 from both sides of the equation

6x = 30a - 48

Divide both sides of the equation by 6

x = 5a - 8 (Answer when solving for x)

Add 8 to both sides of the equation

x + 8 = 5a

Divide both sides of the equation by 5

a = 1/5x + 8/5 (Answer when solving for a)

-----------------------------------------

When solving for x, answer = $\large\boxed{x = 5a - 8}$

When solving for a, answer = $\large\boxed{a = 1/5x + 8/5}$

Hope this helps :)

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1 soda + 1 cupcake+1popsicle=$22.00

Bogdan [553]

Answer:

a) 1 cupcake = $5.50

b) 1 Popsicle = $3.50

Step-by-step explanation:

Let s = cost of one soda

Let c = cost of one cupcake

Let p = cost of one Popsicle

From the given information we can create 3 equations:

Equation 1: s + c + p = 22
Equation 2: s + 3c + 3p = 40
Equation 3: c = p + 2

Subtract Equation 1 from Equation 2 to eliminate the variable s:

s + 3c + 3p = 40

- s + c + p = 22

2c + 2p = 18

Substitute Equation 3 into this new equation and solve for p:

⇒ 2c + 2p = 18

⇒ 2(p + 2) + 2p = 18

⇒ 2p + 4 + 2p = 18

⇒ 4p = 14

⇒ p = 3.5

Substitute the found value of p into Equation 3 and solve for c:

⇒ c = p + 2

⇒ c = 3.5 + 2

⇒ c = 5.5

To find the cost of a soda (s), substitute the found values of p and c into Equation 1:

⇒ s + c + p = 22

⇒ s + 5.5 + 3.5 = 22

⇒ s = 13

Therefore,

1 soda costs $13
1 cupcake costs $5.50
1 Popsicle costs $3.50

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Vikentia [17]

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Read 2 more answers

(4-3x)-6<-4 I need help I will give a thanks

Karolina [17]

Answer:

x > $\frac{2}{3}$

Step-by-step explanation:

Change the less than sign to an equals sign so we can solve for x

(4-3x)-6 = -4

Reorder the numbers in the parentheses

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Get rid of the parentheses and combine like terms

-3x-2 = -4

Add 2 to both sides

-3x = -2

Divide both sides by -3

x = $\frac{2}{3}$

Bkuz you want it to be less than, change the equals sign to a greater than symbol bkuz of the negatives

Hope this helps!

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