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2 years ago

5

Find the least common denominator for these two rational expressions. -8/x^2 -1/5x

1 answer:

stiks02 [169]2 years ago

8 0

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How much interest did you gain if you invested in a retirement plan with a rate of 2.5% over 42 years? Your monthly deposits tot

andreyandreev [35.5K]

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3 years ago

Maria is purchasing sandwiches for her team at work. Each sandwich costs $6.25 and there is a delivery fee of $15.00, all taxes

Oduvanchick [21]

Answer:

The maximum number of sandwiches she can buy is 24.

Step-by-step explanation:

We can create a function to represent the cost of her team's lunch in function of the number of people in the team. We have:

$cost(x) = 15 + 6.25*x$

Since she needs to stay on budget, the cost has to be less or equal to 170, therefore:

$cost(x) \leq 170\\15 + 6.25*x \leq 170\\6.25*x \leq 170 - 15\\x \leq \frac{155}{6.25}\\x \leq 24.8$

Since she can't buy 0.8 sandwiches, the maximum number of sandwiches she can buy is 24.

3 0

2 years ago

Ab^2-4/10 when a=4 b=6

hammer [34]

$\huge\text{Hey there!}$

$\large\boxed{\rm{\dfrac{ab^2 - 4}{10}}}$

$\large\boxed{\rm{\rightarrow\dfrac{\bold{4(6)}^2 -4}{10}}}$

$\large\boxed{\rm{6^2}}$

$\large\boxed{\rm{= 6 \times6}}$

$\large\boxed{\rm{= \bf 36}}$

$\large\boxed{\rm{\rightarrow\dfrac{4(\bold{36)}- 4}{10}}}}$

$\large\boxed{\rm{4(36)}}$

$\large\boxed{\rm{= \bf 144}}}$

$\large\boxed{\rm{\rightarrow\dfrac{\bold{144} - 4}{10}}}$

$\large\boxed{\rm{\bold{144} - 4}}$

$\large\boxed{= \rm{\bf 140}}}$

$\large\boxed{\rm{\rightarrow\dfrac{\bold{140}}{10}}}$

$\large\boxed{\rm{= \bf 14}}$

$\huge\boxed{\rm{Therefore, your\ answer\ is: \mathsf{14}}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

4 0

2 years ago

G(t) = 3t+ 4; Find g(−3)

lorasvet [3.4K]

Answer:

t=-5

Step-by-step explanation:

-3=3t+4

-1=t+4

-5=t

6 0

2 years ago

A new park was designed to contain two circular gardens. Garden A has a diameter of 50 m, and garden B has a diameter of 70 m. T

Nastasia [14]

Answer:

$5,811.95\ m^2$ of fabric.

Step-by-step explanation:

-The amount of fabric needed is equivalent to the area of the two gardens.

-We calculate the combined areas as:

$A=A_s+A_b\\\\=\pi r^2+\pi R^2\\\\=\pi(25^2+35^2)\\\\=1850\pi \ m^2\\\\=5811.95\ m^2$

Hence, 5811.95 sq meters of fabric will be needed to cover the area of both gardens.

5 0

3 years ago