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2 years ago

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40 sweater to 33% discount

1 answer:

scoray [572]2 years ago

6 0

The sweater Is now $26.80

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Divide the difference of 50 and 10 by the sum of 3 and 2. what expression represents the statement?

Makovka662 [10]

Answer:

(50-10) ÷ (3+2)

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Liz earns a salary of $2,200 per month, plus a commission of 6% of her sales. she wants to earn at least $2,900 this month. ente

nlexa [21]

2200 + 0.06s > = 2900.....with s representing her total sales
0.06s > = 2900 - 2200
0.06s > = 700
s > = 700 / 0.06
s > = 11666.67 <== her sales has to be at least this

6 0

2 years ago

Solve the following equations.<br> log2(x^2 − 16) − log^2(x − 4) = 1

Alenkasestr [34]

Answer:

$x=\frac{4*(2+e)}{e-2}$

Step-by-step explanation:

Let's rewrite the left side keeping in mind the next propierties:

$log(\frac{1}{x} )=-log(x)$

$log(x*y)=log(x)+log(y)$

Therefore:

$log(2*(x^{2} -16))+log(\frac{1}{(x-4)^{2} })=1\\ log(\frac{2*(x^{2} -16)}{(x-4)^{2}})=1$

Now, cancel logarithms by taking exp of both sides:

$e^{log(\frac{2*(x^{2} -16)}{(x-4)^{2}})} =e^{1} \\\frac{2*(x^{2} -16)}{(x-4)^{2}}=e$

Multiply both sides by $(x-4)^{2}$ and using distributive propierty:

$2x^{2} -32=16e-8ex+ex^{2}$

Substract $16e-8ex+ex^{2}$ from both sides and factoring:

$-(x-4)*(-8-4e-2x+ex)=0$

Multiply both sides by -1:

$(x-4)*(-8-4e-2x+ex)=0$

Split into two equations:

$x-4=0\hspace{3}or\hspace{3}-8-4e-2x+ex=0$

Solving for $x-4=0$

Add 4 to both sides:

$x=4$

Solving for $-8-4e-2x+ex=0$

Collect in terms of x and add $4e+8$ to both sides:

$x(e-2)=4e+8$

Divide both sides by e-2:

$x=\frac{4*(2+e)}{e-2}$

The solutions are:

$x=4\hspace{3}or\hspace{3}x=\frac{4*(2+e)}{e-2}$

If we evaluate x=4 in the original equation:

$log(0)-log(0)=1$

This is an absurd because log (x) is undefined for $x\leq 0$

If we evaluate $x=\frac{4*(2+e)}{e-2}$ in the original equation:

$log(2*((\frac{4e+8}{e-2})^2-16))-log((\frac{4e+8}{e-2}-4)^2)=1$

Which is correct, therefore the solution is:

$x=\frac{4*(2+e)}{e-2}$

6 0

3 years ago

Mr. Rosenberger asked his students to use the distributive property to rewrite the expression 18 (24) by using friendlier number

lara [203]

Answer:

diana

Step-by-step explanation:

4 0

2 years ago

In the continental United States, The ratio of states border an ocean to states that do not border an ocean is 7:9. How many of

luda_lava [24]

The answer is 7 because the first part of the ratio says amount of states that border an ocean.

7 0

3 years ago