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1 year ago

The product of 3 and the difference of 5 and a number

Mathematics

1 answer:

Rus_ich [418]1 year ago

3 0

Answer:

3 * (5 - x)

Step-by-step explanation:

Using the keywords:

product of

difference of

and a number

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The diameter of a circle is 9 m. Find the circumference \textit{to the nearest tenth}to the nearest tenth.

vredina [299]

Answer:

$C=28.3m$

Step-by-step explanation:

From the question we are told that:

Diameter $d=9m$

Radius $r=4.5m$

Generally the equation for Circumference of a circle is mathematically given by

$C=2\pi r\\\\\C=2*\pi*4.5m$

$C=28.3m$

8 0

2 years ago

Sue has 100 dimes and quarters. If the total value of the coins is $21.40, how many of each kind of coins does she have?

Nookie1986 [14]

Answer:

There would be 24 dimes and 76 quarters.

Step-by-step explanation:

In order to find this, start by defining the number of dimes by x and the number of quarters as y. Now we can create a system of equations. Make the first about the total number of coins.

x + y = 100

Make the second about the amount of money.

.10x + .25y = 21.40

Now we can solve using elimination by multiplying the second equation by -4 and adding through.

x + y = 100

-.40x - y = -85.60

-----------------------

.60x = 14.4

x = 24

Now we can use the amount of dimes we have to find the number of quarters.

x + y = 100

24 + y = 100

y = 76

3 0

2 years ago

Mia enlarged a plan for an outdoor stage. The original plan is shown below. She dilated the outdoor stage by a scale factor of 4

garik1379 [7]

Since you didn't give the original picture, I can only explain the process. Then, you need to select the correct point.

In a dilation, we multiply the coordinates by the scale factor. Take the points that you have and multiply them all by 4. Then, look for a point making your new coordinates.

5 0

2 years ago

Read 2 more answers

A concert sold general admission tickets for $47.50 and lower-level seating for $97.50. The 995 tickets sold took in $68,762.50.

BabaBlast [244]

Answer: 565 general admission and 430 lower-level seating tickets sold (Answer (D))

Steps:

Let x be the number of general admission tickets, and y be the number of lower level tickets.

Set up the two equations:

68762.5 = x * 47.50 + y * 97.50 (total price as a sum of individual volumes)

x + y = 995 (sum of individual count = total count of tickets sold)

solve for x, y:

x = 995 - y

plug into the first equation:

68762.5 = (995-y) * 47.50 + y * 97.50

solve for y:

y = 430

then x = 565

x = 565 and y = 430

8 0

3 years ago

Read 2 more answers

Please help me with 2b ASAP. <br> Really appreciate it!!

Bogdan [553]

$f(x)=\dfrac{x^2}{x^2+k^2}$

By definition of the derivative,

$f'(x)=\displaystyle\lim_{h\to0}\frac{\frac{(x+h)^2}{(x+h)^2+k^2}-\frac{x^2}{x^2+k^2}}h$

$f'(x)=\displaystyle\lim_{h\to0}\frac{(x+h)^2(x^2+k^2)-x^2((x+h)^2+k^2)}{h(x^2+k^2)((x+h)^2+k^2)}$

$f'(x)=\dfrac{k^2}{x^2+k^2}\displaystyle\lim_{h\to0}\frac{(x+h)^2-x^2}{h((x+h)^2+k^2)}$

$f'(x)=\dfrac{k^2}{x^2+k^2}\displaystyle\lim_{h\to0}\frac{2xh+h^2}{h((x+h)^2+k^2)}$

$f'(x)=\dfrac{k^2}{x^2+k^2}\displaystyle\lim_{h\to0}\frac{2x+h}{(x+h)^2+k^2}$

$f'(x)=\dfrac{2xk^2}{(x^2+k^2)^2}$

$\dfrac{k^2}{(x^2+k^2)^2}$ is positive for all values of $x$ and $k$ . As pointed out, $x\ge0$ , so $f'(x)\ge0$ for all $x\ge0$ . This means the proportion of occupied binding sites is an increasing function of the concentration of oxygen, meaning the presence of more oxygen is consistent with greater availability of binding sites. (The question says as much in the second sentence.)

7 0

2 years ago