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3 years ago

What would be the answer to .99x=.89x-10

Mathematics

2 answers:

brilliants [131]3 years ago

4 0

Subtract .89x from both sides to isolate the variable
.10x = -10 divide by .10
X = 100

Stels [109]3 years ago

3 0

.99x=.89x-10 subtract .89x from both sides to isolate the variable

.10x=-10 divide by .10

x=100 final answer

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Answer:

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Step-by-step explanation:

Let

x ----> the cost of the concert ticket

we know that

The total cost to be no more than $4 Above $80

$5x\leq 80+4$

Solve for x

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$5x\geq 80-4$

Solve for x

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therefore

The inequality that represent this problem is

$\left|5x-80\right|\le 4$

Verify

First solution (positive case)

$+(5x-80)\le 4$

$5x\le 80+4$

Solve for x

$x\leq \$16.80$ ----> is ok

Second solution (negative case)

$-(5x-80)\le 4$

Multiply by -1 both sides

$(5x-80)\ge -4$

$5x\geq 80-4$

Solve for x

$5x\geq 76$

$x\geq \$15.2$ ---> is ok

Remember that

$\left|5x-80\right|\le 4$ is equivalent to $\left|80-5x\right|\le 4$

Because is a absolute value

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see the attached figure to better understand the problem

we know that

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therefore

the answer is the option

m∠1 = 110° and m∠3 = 70°

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