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3 years ago

The cost of 5 scarves is $43.75. What is the unit price? The unit price is $ per scarf.

Mathematics

1 answer:

insens350 [35]3 years ago

7 0

Answer:

$8.75 per scarf

Step-by-step explanation:

5 scarves costs $43.75 so to get the price of one scarf, we just need to divide by 5.

43.75 / 5 = 8.75

One scarf costs $8.75

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Solve the following exponential equation by taking the natural logarithm on both sides. Express the solution in terms of natural

Cloud [144]

Answer:

$-\frac{ln(662)-2}{4}$

{-1.12}

Step-by-step explanation:

$e^{2 - 4x} = 662$

Solve this exponential equation using natural log

Take natural log ln on both sides

$ln(e^{2 - 4x}) = ln(662)$

As per the property of natural log , move the exponent before log

$2-4x(ln e) = ln(662)$

we know that ln e = 1

$2-4x= ln(662)$

Now subtract 2 from both sides

$-4x= ln(662)-2$

Divide both sides by -4

$x=-\frac{ln(662)-2}{4}$

Solution set is { $x=-\frac{ln(662)-2}{4}$ }

USe calculator to find decimal approximation

x=-1.12381x=-1.12

7 0

3 years ago

Please help. I don't understand

Andreas93 [3]

Answer:

Length of third side is: $\mathbf{8m^3-4m^2+3m}$

Step-by-step explanation:

Perimeter of triangle = $18m^3+2m^2-m$

Length of side 1= $5m^3+3m^2-2m$

Length of side 2= $5m^3+3m^2-2m$

We need to find length of third side.

The formula used is: $Perimeter \:of\:triangle=Sum\:of\:all\:sides$

Putting values and finding length of third side.

$Perimeter \:of\:triangle=Sum\:of\:all\:sides\\18m^3+2m^2-m=5m^3+3m^2-2m+5m^3+3m^2-2m+Length\:of\:3rd\:side\\18m^3+2m^2-m=5m^3+5m^3+3m^2+3m^2-2m-2m+Length\:of\:3rd\:side\\18m^3+2m^2-m=10m^3+6m^2-4m+Length\:of\:3rd\:side\\Length\:of\:3rd\:side=18m^3+2m^2-m-(10m^3+6m^2-4m)\\Length\:of\:3rd\:side=18m^3+2m^2-m-10m^3-6m^2+4m\\Length\:of\:3rd\:side=18m^3-10m^3+2m^2-6m^2-m+4m\\Length\:of\:3rd\:side=8m^3-4m^2+3m$