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tester [92]
3 years ago
10

I am a little stuck I just don’t really get expressions

Mathematics
1 answer:
Agata [3.3K]3 years ago
6 0

Answer:

$66.50

Step-by-step explanation:

lets break this down a bit:

the tickets are $16 each

there is an additional $2.50 added when tickets are bought online, its a one time fee and does not apply to every ticket

<em>n</em> represents the amount of tickets bought

you're on the right track so far, the expression is as follows:

16<em>n</em> +2.50   <---<em>n</em> is placed next to the 16 because we are calculating the amount of tickets bought and their price plus the one time service fee of $2.50

we are then told that 4 tickets were bought

in this expression, n = 4, so we substitute 4 into the equation for n

16(4) + 2.50

16 x 4 = 64

instead of multiplying like you did on the worksheet, you would add since the original expression we wrote <em>plus</em> 2.50, not <em>times</em> 2.50

64 + 2.50 = 66.50

so, the total price for 4 tickets bought online is $66.50

you were on the right track! let me know if you need anything else cleared up about expressions

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Hitman42 [59]
The usual!! Just add up 5.03+13.7 which is 18.73. Then add that up with 108 which is 126.73!
5 0
3 years ago
What is the length of the diagonal of the rectangle? Round to two decimal places
yan [13]

Answer:

Option C

Step-by-step explanation:

By the property of a rectangle,

"All interior angles of a rectangle measure 90°"

Therefore, m∠ABC = 90°

By applying cosine rule in the right triangle ABC,

cos(∠CAB) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

cos(25°) = \frac{AB}{AC}

AC = \frac{AB}{\text{cos}(25)}

AC = \frac{18}{\text{cos}(25)}

AC = 19.86

Therefore, Option C will be the answer.

3 0
3 years ago
A balloon rises at the rate of 10 ft/sec from a point on the ground 100 feet from an observer. Find the rate of change of the an
lubasha [3.4K]

The rate of change of the angle of elevation of the balloon from the observer when the balloon is 100 feet above the ground is  1/20 degree/sec.

<h3>What is angle of elevation?</h3>

It is described as a relationship between an oblique line from the observer's eye to an item above his eye and the horizontal plane. This angle eventually develops above the surface. The angle of elevation is made in such a way that it is above the observer's eye, as the name suggests.

Calculation for the rate of change of angle of elevation-

According to the question,

A balloon rises at the rate of 10 ft/sec from a point on the ground 100 feet from an observer.

The balloon is 100 feet above the ground.

Let the height of the balloon be 'h' ft.

Then tanØ = h/100

h = 100tanØ

Differentiate the above equation with respect to time.

dh/dt = 100 sec² Ø (dØ/dt)

We know dh/dt = 10 ft/sec.

when h = 100

tanØ = 100/100 = 1/1

tanØ = Perpendicular/Base

On comparing above two equations,

Perpendicular = 1; Base = 1.

By Pythagoras the hypotenuse is,

H² = P² + B²

    = 1² + 1²

    = 2

H = √2

Now, calculate the value of cosØ.

cosØ = B/H = 1/√2

Squaring both side

cos² Ø = 1/2

sec² Ø = 1/cos² Ø

sec² Ø = 2

The main equation was,

dh/dt = 100 sec² Ø (dØ/dt)

Substitute the values,

dØ/dt = (dh/dt )/100 sec² Ø

         = (10)/(100×2)

dØ/dt = 1/20 degree/sec.

Therefore, the rate of change of the angle of elevation of the balloon from the observer is  1/20 degree/sec.

To know more about the angle of elevation, here

brainly.com/question/9817377

#SPJ4

8 0
2 years ago
Evaluate the expression 10 + 2p - 3r, when p=3 and r=-2
dmitriy555 [2]

Answer:

<em>The expression is equal to 22</em>

Step-by-step explanation:

<u>Expression Evaluation</u>

We are given the expression

10 + 2p - 3r

And it's required to evaluate it when p=3 and r=2. This means we have to replace the letter for the value assigned to them, as follows:

10 + 2*3 - 3*(-2) = 10 + 6 - (-6)

= 10 + 6 + 6

= 22

The expression is equal to 22

7 0
3 years ago
What is .16÷.03220 round to the nearest tenth? ​
Alika [10]

Answer:

5.0 would be your answer.

Have a great day/night!

6 0
3 years ago
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