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3 years ago

A corporate team-building event costs $13, plus an additional $6 per attendee. How many

Mathematics

1 answer:

andrew-mc [135]3 years ago

5 0

Answer:

Step-by-step explanation:

The cost for n attendees will be ...

cost = 2 + 2n

We want the cost to be, at most, 26, so we have ...

26 ≥ 2 +2n

Dividing by 2 gives ...

13 ≥ 1 + n

And subtracting 1, we find the answer:

12 ≥ n

At most, there can be 12 attendees.

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Simplify 2(a-3)/(a-4)(a-5)+(a-1)/(3-a)(a-4)+(a-2)/(5-a)(a-3)

Umnica [9.8K]

Answer:

$\dfrac{5}{x^3-12x^2+47x-60}$

Step-by-step explanation:

Though it is not what you have written, we think you want to simplify ...

$\dfrac{2(a-3)}{(a-4)(a-5)}+\dfrac{(a-1)}{(3-a)(a-4)}+\dfrac{(a-2)}{(5-a)(a-3)}\\\\=\dfrac{2(a-3)^2}{(a-3)(a-4)(a-5)}+\dfrac{-(a-1)(a-5)}{(a-3)(a-4)(a-5)}+\dfrac{-(a-2)(a-4)}{(a-3)(a-4)(a-5)}\\\\=\dfrac{2(a^2-6a+9)-(a^2-6a+5)-(a^2-6a+8)}{x^3-12x^2+47x-60}\\\\=\boxed{\dfrac{5}{x^3-12x^2+47x-60}}$

_____

When writing a fraction in plain text, parentheses are needed around the entire denominator. The order of operations tells you that a/bc = (a/b)c, not a/(bc).

6 0

2 years ago

Two semicircles are attached to the sides of a rectangle as shown.

melomori [17]

Answer:

$157\ in^{2}$

Step-by-step explanation:

we know that

The area of the figure is equal to the area of rectangle plus the area of two semicircles

The area of rectangle is equal to

$A=14*5=70\ in^{2}$

The area of the small semicircle is equal to

$A=\pi r^{2} /2$

$r=5/2=2.5\ in$ -----> radius is half the diameter

substitute

$A=(3.14)(2.5^{2})/2=9.8125 in^{2}$

The area of the larger semicircle is equal to

$A=\pi r^{2} /2$

$r=14/2=7\ in$ -----> radius is half the diameter

substitute

$A=(3.14)(7^{2})/2=76.93\ in^{2}$

The area of the figure is equal to

$70+9.8125+76.93=156.7425=157\ in^{2}$

8 0

3 years ago

Read 2 more answers

Allie and Sam are ophthalmologists. Allie found that 40% of the 170 patients she saw in a week were near sighted. Sam found that

Hatshy [7]

Answer:

Allie: 68 Sam: 59

Step-by-step explanation:

You take 40% from 68 and 25% from 236 and boom.

3 0

3 years ago

Read 2 more answers

The variables x and y are inversely proportional, and y = 2 when x = 3. What is the value of y when x = 9?

Nina [5.8K]

Answer:

$\huge \purple{ \boxed{ y = \frac{2}{3} }}$

Step-by-step explanation:

Since, the variables x and y are inversely proportional.

$\therefore \: y \: \: \alpha \: \: \frac{1}{x} \\ \implies \: y = \frac{k}{x} \\ (k = constant) \\ \implies \: xy = k ...(1)\\ plug \: y = 2, \: \: x = 3 \: in \: equation \: (1) \\ we \: find \\ 2 \times 3 = k \\ k = 6 \\ plug \:k = 6 \: in \: equation \: (1) \\ xy = 6 \\ (this \: is \: the \: equation \: of \: variation) \\ when \: x = 9 \: \: y =? \\ \\ 9y = 6 \\ y = \frac{6}{9} \\ \huge \red{ \boxed{ y = \frac{2}{3} }}$

4 0

3 years ago

Steps to solve 10.3=0.6y solve the y

Nat2105 [25]

All you need to do is divide 0.6 into both sides.

10.3/0.6= 17.166666666667 ( you could round up to 17.2)

I hope this helps!

~cupcake

4 0

3 years ago

Read 2 more answers