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What is the length of CE?

Hello, sorry for taking half an hour to respond.

a) If x represents the number of students in her class, we have :

The cost of a calculator on website C : 480 : x
The cost of a calculator on website D : 480 : (x+4)

b) We call the price of a calculator on website C as a, and the price on website D is a-6
Let's also call the amount of calculators if we buy on website C as d, and the amount of calculators if we buy on website D as d + 4

We have :

a.d = (a-6)(d+4)
Break the brackets out : ad = ad-6d + 4a - 24
=> -6d + 4a - 24 = 0
Divide both sides by 2
=> -3d + 2a - 12 = 0

=> 2a = 3d + 12

So, d is divisible by 3, and a is divisible by 2 => ad is divisible by 6.

And ad x the amount of students = 480

So, we can conclude that the amount of students is a factor of 80

Let's list out all of them : 1,2,4,5,8,10,16,20,40,80.

If there was 20 students :

The price of each calculator would be : 480 : 20 = 24

If it's 6 cheaper, it would be 24-6 = 18

And she would've gotten 480 : 18 (not divisible)

If you keep replacing like that, you'll eventually get the answer. I don't have time left, so the answer is 16 students. Hope it helps.

Answer:

-3y

Step-by-step explanation:

Take the square root of each term inside the radical to get rid of the radical. The square root of 9 is 3 and the square root of y^2 is y, so the square root of 9y^2=3y. Put the negative back in front and you get -3y.

Answer:

  g(x) = 3f(-x/2)

Step-by-step explanation:

g(x) is 3 times the height of f(x), and 2 times its width. It is also reflected over the y-axis.

The relevant transformations are ...

  g(x) = k·f(x) . . . . scales f(x) vertically by a factor of k

  g(x) = f(-x) . . . . . reflects f(x) over the y-axis

  g(x) = f(x/k) . . . . scales f(x) horizontally by a factor of k

__

The three transformations we described at the beginning mean that g(x) is ...

  g(x) = 3f(-x/2)

Answer:

[tex]-2\frac{1}{2}[/tex]

Step-by-step explanation:

Rewriting our equation with parts separated

=[tex]2+\frac{5}{6} -5\frac{1}{3}[/tex]

Solving the whole number parts

[tex]2-5=-3[/tex]

Solving the fraction parts

[tex]\frac{5}{6} -\frac{1}{3}[/tex]

Find the LCD of 5/6 and 1/3 and rewrite to solve with the equivalent fractions.

LCD = 6

[tex]\frac{5}{6} -\frac{2}{6} =\frac{3}{6}[/tex]

Reducing the fraction part, 3/6,

[tex]\frac{3}{6} =\frac{1}{2}[/tex]

Combining the whole and fraction parts

[tex]-3+\frac{1}{2} =-2\frac{1}{2}[/tex]

Hence, the correct answer is -2 1/2

[RevyBreeze]

Your most trustful answer

Answer:

The value of x is 12.24

Step-by-step explanation:

Now,

tan 36 = x/17

0.72 = x/17

x = 17 × 0.72

x = 12.24

Thus, The value of x is 12.24

-TheUnknownScientist 72

Answer:

300.00$

50$ per month

6 months

50x6

[tex]12 - 2x = 0 \\ - 2x = 0 - 12 \\ -2x = - 12 \\ - x = - 12 \div 2 \\ - x = - 6 ( - can \: be \: cancelled \: if \: its \: in \: both \: side)\\ x = 6[/tex]

kindly swipe right to left for full solution.

the solutions for the quadratic equation are 3.46 and -3.46

Here we have the equation:

12 - x^2 = 0

To solve this, first, we add x^2 on both sides:

12 = x^2

Now we can just apply the square root on both sides, to get:

±√12 = x

±3.46

So the solutions are 3.46 and -3.46

If you want to learn more about quadratic equations, you can read:

https://brainly.com/question/1214333

Step-by-step explanation:

4 + 3x =16

subtracting 4 on both sides

4-4 + 3x =16-4

0+ 3x = 12

3x = 12

x = 12/3

x= 4

The number of hours the first person worked on the car is 5, while the number of hours for which the second person working on the car is 10.

An equation is formed when two equal expressions are equated so that the value of a variable can be found.

Let the number of hours for which the first person worked on the car is x

In order to solve the problem, we will make two equations. Now, since we know that the total number of hours for which the two-person worked on the car is 15, therefore, we can write it as,

[tex]x+y =15[/tex]

The amount charged by the first person is $85 per hour, while the amount charged by the second person is $120, and the total cost of the two is $1450 combined. therefore, the total cost can be written as

[tex]85x+120y = 1450[/tex]

As we got the two-equation solving the two-equation, to get our answer.

In the first equation, we will isolate y, in order to get the value of y in terms of x,

[tex]x+y = 15\\y = 15-x[/tex]

As we got the value of y, substitute the value in the second equation,

[tex]85x+120(15-x) = 1450\\85x+1800 - 15x = 1450\\70x = 350\\x = 5[/tex]

As we have the value of x, substitute the value in the first equation,

[tex]x+y=15\\(5)+y=15\\y=10[/tex]

Hence, the number of hours the first person worked on the car is 5, while the number of hours for which the second person working on the car is 10.

Learn more about Equation:

https://brainly.com/question/2263981

Answer:

Zero Point

Step-by-step explanation:

The measure of the length of line segment CD is; 12.8

Pythagoras theorem States that the square of the hypotenus of a triangle is equal to the sum of the square of the opposite and square of the adjacent side.

From the task content, the center of the circle is at point S and since CS = 4;

Hence, it follows from Pythagoras theorem that;

Read more on Pythagoras theorem;

https://brainly.com/question/343682

Answer:

[tex]7y \leqslant - 20[/tex]

To solve this problem, we can use cross multiplication:

First, we can to convert inches into feet so...

5 inches = 0.416667 ft

7 inches = 0.583333 ft

(0.416667 ft/ 0.583333 ft) = (12 ft/ x ft)

x = 16.8 ft

So the actual width is 16.8 ft.

Hope this helps!

Answer:

1757.5

Step-by-step explanation:

10% of $1,850 is 185

5% of 185 is 92.5

1,850 minus 92.5 = 1757.5

please mark brainliest if this helped!

Answer:

b) $1,757.50

Step-by-step explanation:

15. 1,850 * 5

     1,850 * 0.05 = 92.5 (how much was discounted)

1,850 - 92.5 = $1,757.50

Hope this helps!

Answer:

the answer is 15

The geometric mean of 25 and 9 is 15 . Example 2: ... So, the geometric mean of the three numbers is the cube root of their product.

Answer:

15

Step-by-step explanation:

the geometric mean of 2 numbers a and b is [tex]\sqrt{ab}[/tex] , then

geometric mean of 9 and 25 is

[tex]\sqrt{9(25)}[/tex] = [tex]\sqrt{225}[/tex] = 15

Answer:

12/300 as a decimal is 0.04.

Answer: D.

Step-by-step explanation:

Answer:

  (b)  19.6 square feet

Step-by-step explanation:

The area of a circle is given by the formula ...

  A = πr²

If the diameter is 5 feet, the radius is 2.5 feet, so the area is ...

  A = (3.14)(2.5 ft)² ≈ 19.625 ft² ≈ 19.6 ft²

The area of a base circle is about 19.6 square feet.

Answer:

19.6 square feet

Step-by-step explanation:

Answer:

NOT The average wage increase for nurses in the system was between 3.6% and 6.8%.

Step-by-step explanation:

Answer:

Area for Triangle is: 1/2bh or bh/2

Area for Trapezoid (As shown in picture):

1/2h(b1+b2)

You’d have to do 1/2 x 18(15+37) for the quesyion in the picture

Hope this helped!

Answer:

[tex] area = (\frac{1}{2} (a + b) \times h) \\ \frac{1}{2} \times (15 + 37) \times 18ft \\ \frac{1}{2} \times 52ft \times 18ft \\ divide \: 52 \: by \: 2 \\ 26ft \times 18ft = 468 {ft}^{2} \\ answer = 468 {ft}^{2}[/tex]

Answer:

Train 1

Step-by-step explanation:

Train 1 has constant speed: 240 miles / 3 hours = 80 mph.

Train 2 has constant speed: 490 miles / 7 hours = 70 mph.

So, Train 1 is faster.

Answer:

Attached is what the graph should look like.

Step-by-step explanation:

|2x + 2| > 4

Separate the equations into two different ones:

2x + 2 > 4                                                    2x + 2 < - 4

     - 2  - 2                                                         - 2     - 2

2x > 2                                                           2x < -6

/2   /2                                                            /2    /2

x > 1                                                              x < -3

Hope this helps!

Answer:

Red : Blue = 20: 40 = 1 : 2

White: Red = 30 : 20 = 3 : 2

Answer:

By using your brain? XD

Here's the answer:

2:5 of 63

2+5=7

2/7 X 63=18

5/7 X 63= 45

Tina recieves 18/63 (2/7)

Please mark as Brainliest

Answer:A D F

Step-by-step explanation:

Answer:

Step-by-step explanation:

See attached image.

Answer:

a = 8

Step-by-step explanation:

a + 7 = 15

a + 7 - 7 = 15 - 7   Subtract 7 from both sides.

a = 8

Answer is

A = 8

Because 8 + 7 = 15

The other way to explain we need to subtract 7 ( 7 -7 = 0 and 15 - 7 = 8 ) both sides so after subtracting you will get  8