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3 years ago

6(-2-3x)+8=68 Find x

Mathematics

2 answers:

yawa3891 [41]3 years ago

3 0

$6(-2-3x)+8=68 \\ 6(-2-3x)=60 \\ -12-18x=60 \\ -18x=72 \\ 18x=-72 \\ x= \frac{-72}{18} \\ \\ \boxed{x=-4}$

LuckyWell [14K]3 years ago

3 0

-12-18x+8=69
-4-18x=69
-4+4 -18x=69+4
-18x=73
-18x/-18 =73/-18
X=-4.055

I hope that helped

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Komok [63]

Answer:

Part a) $22.95+0.43x \leq 25$

Part b) The maximum number of candy bars that you can purchase is 4

Part c) The change would be $\$0.33$

Step-by-step explanation:

Part a) Write an equation representing your shopping experience and use x for the number of candy bars

Let

x -----> the number of candy bars

we know that

The inequality that represent this problem is equal to

$2(3.50)+2(2.75)+10.45+0.43x \leq 25$

$22.95+0.43x \leq 25$

Part b) Solve the equation to determine how many candy bars can you purchase?

$22.95+0.43x \leq 25$

Solve for x

Subtract 22.95 both sides

$0.43x \leq 25-22.95$

$0.43x \leq 2.05$

Divide by 0.43 both sides

$x \leq 2.05/0.43$

$x \leq 4.8$

The maximum number of candy bars that you can purchase is 4

Part c) How much change would you have left?

If you purchase 4 candy bars

then

$22.95+0.43(4)=\$24.67$

therefore

$\$25-\$24.67=\$0.33$

4 0

4 years ago

Abdul bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $150 more than the desktop. He pa

slavikrds [6]

Answer:

The cost of desktop before finance charge was $1750.

The cost of laptop before finance charge was $1900.

Step-by-step explanation:

Let us assume this is a simple interest scenario.

Let D be the cost of desktop

Let L be the cost of laptop

Given- the laptop cost $150 more than the desktop.

So, $L=D+150$

The total finance charge for 1 year is given by :

$0.07D+0.095L =303$

Substituting the value of L here, we get;

$0.07D+0.095(D+150) =303$

=> $0.07D+0.095D+14.25 =303$

=> $0.165D+14.25 =303$

=> $0.165D=303-14.25$

=> $0.165D=288.75$

D = $1750

As $L=D+150$

So, $L=1750+150=1900$

L = $1900

We can check this :

$0.07(1750)+0.095(1900) =303$

=> $122.50+180.50=303$

=> $303=303$

So, the cost of desktop before finance charge was $1750.

The cost of laptop before finance charge was $1900.

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4 years ago

Let f(x)=x-3 and g(x)= x^2-x. Find and simplify the expression. (f+g)(2)

ValentinkaMS [17]

Answer:

Step-by-step explanation:

Given :

f(x) = x − 3

g(x) = x² − x

Note : (f+g)(x) = f(x) + g(x)

then

(f+g)(2) = f(2) + g(2)

= (2 - 3) + (2² - 2)

= -1 + 2

= 1

another method:

(f+g)(x) = f(x) + g(x) = x − 3 + x² − x = x² - 3

then

(f+g)(2) = 2² - 3 = 4 - 3 = 1

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Anuta_ua [19.1K]

Answer:

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