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Cerrena [4.2K]
3 years ago
9

Admission to the fair costs $5. Each ticket for a ride costs $1.50. You have $20 to spend at the fair on admissions and rides. E

xpress the number of tickets you can buy as an inequality.
Mathematics
1 answer:
nikklg [1K]3 years ago
3 0
You can but over 40 that’s would be the number
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A 25-foot ladder leans against a wall. The base of the ladder is 15 feet from the bottom of the wall. How far up the wall does t
motikmotik

Answer: 20 feet.

Step-by-step explanation:

Observe the right triangle attached.

You need to find the value of "x".

Then, you can use the Pythagorean Theorem:

a^2=b^2+c^2

Where "a" is the hypotenuse of the triangle, and "b" and "c" are the legs.

 In this case, you can identify that:

a=25ft\\b=15ft\\c=x

Substitute these values into  a^2=b^2+c^2:

 (25ft)^2=(15ft)^2+x^2

Now, you need to solve for x to find how far up the wall the top of the ladder reaches. Then you get:

x^2=(25ft)^2-(15ft)^2

x=\sqrt{(25ft)^2-(15ft)^2}

x=20ft

3 0
4 years ago
Read 2 more answers
Solve the inequality -8x - 10 &gt; 7x + 20.<br> OX-30<br> Ox&gt;-2<br> Ox&gt;-30<br> 0x&lt;-2
galina1969 [7]

Answer:

<h2>x < - 2</h2>

Step-by-step explanation:

-8x - 10 > 7x + 20

First subtract 7x from both sides of the inequality

That's

- 8x - 7x - 10 > 7x - 7x + 20 \\  - 15x  - 10 > 20

<u>Add 10 to both sides of the inequality</u>

- 15x + 1 0 - 10 > 20 + 10 \\  - 15x > 30

<u>Divide both sides by - 15</u>

\frac{ - 15x}{ - 15}  >  -  \frac{30}{15}

Since the denominator is negative the sign will change

We have the final answer as

<h3>x < - 2</h3>

Hope this helps you

5 0
3 years ago
Read 2 more answers
Write the equation of the line in a point-slope form: m = 9, (0, -7) .​
Tom [10]
Y=9x-7

Filler filler filler
3 0
3 years ago
What are complex numbers? What are some real life applications of complex numbers? Please submit your responses in complete sent
kicyunya [14]

Answer:

A Complex Number is a combination of a

Real Number and an Imaginary Number

and

Imaginary numbers, also called complex numbers, are used in real-life applications, such as electricity, as well as quadratic equations. In quadratic planes, imaginary numbers show up in equations that don’t touch the x axis. Imaginary numbers become particularly useful in advanced calculus.

3 0
3 years ago
Find f(b-2) if f(x) = x^2-6x+1
jasenka [17]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

The equivalent expression is ~

  • f(b - 2) =  {b}^{2}  - 10b + 17

\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}

Let's evaluate f(b - 2) ~

  • f(x) =  {x}^{2}  - 6x + 1

  • f(b - 2) = (b - 2) {}^{2}  -6 (b - 2) + 1

  • \mathcal{ {f(b - 2) =  {b}^{2}   +  2 {}^{2}  - (2 \times b \times 2) - 6b + 12}}

  • f(b - 2) =  {b}^{2}   + 4 - 4b - 6b + 12 + 1

  • f(b - 2) =  {b}^{2}  - 10b + 17
4 0
3 years ago
Read 2 more answers
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