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GuDViN [60]
3 years ago
13

3a-8a>-20 help I suck at math ​

Mathematics
1 answer:
vazorg [7]3 years ago
5 0

Answer:

Step-by-step explanation:

3a-8a>-20

-5a>-20

a>-20/-5

a>4

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It cost $36.75 for 3 tickets to visit the science center. It cost $51 for tickets for 4 tickets to visit the zoo. Which attracti
jonny [76]

Answer:

It would cost more to go to the zoo by $6

Step-by-step explanation:

The total amount that each attraction costs can be given by;

<em>Science center</em>

Total cost at the science center=cost per ticket×number of tickets

where;

Total cost at the science center=$36.75

Cost per ticket=c

Number of tickets=3 tickets

Substituting;

36.75=c×3

c=(36.75/3)=12.25 per ticket to go to the science ticket

For 12 students, total cost at the science center=(12.25×12)=$147

<em>Zoo</em>

Total cost at the zoo=cost per ticket×number of tickets

where;

Total cost at the zoo=$51

Cost per ticket=d

Number of tickets=4 tickets

Substituting;

51=d×4

d=(51/4)=12.75 per ticket to go to the zoo

For 12 students, total cost at the zoo=(12×12.75)=$153

Total zoo cost-Total science center cost=(153-147)=$6

It would cost more to go to the zoo by $6

7 0
3 years ago
A bird started 37 feet above the ocean. To catch a fish, It dove 7 feet below the waters surface level.How fat was its dive? Dra
jolli1 [7]

Answer:

The bird dove 44 feet.

Step-by-step explanation:

If the bird starts 37 feet above the ocean and dives from its position to 7 feet below the ocean, the you just add the two numbers and get its total dive.

To draw it draw a graph that goes past to +37 and past -7, then draw a bar representing the birds dive from +37 to -7. The X axis would be time, and the Y axis is the bird's height relative to the surface of the water.

7 0
4 years ago
Use​ DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in rectangular form.
slava [35]

Answer:

After solving the power:

\bold{2(cos60^\circ+isin60^\circ)}

Rectangular form:

\bold{1+i\sqrt3}

Step-by-step explanation:

Given the complex number:

2(cos20^\circ+isin20^\circ)^3

To find:

The indicated power by using De Moivre's theorem.

The complex number in rectangular form.

Rectangular form of a complex number is given as a+ib where a and b are real numbers.

Solution:

First of all, let us have a look at the De Moivre's theorem:

(cos\theta+isin\theta )^n=cos(n\theta)+isin(n\theta )

First of all, let us solve:

(cos20^\circ+isin20^\circ)^3

Let us apply the De Moivre's Theorem:

Here, n = 3

(cos20^\circ+isin20^\circ)^3 = cos(3 \times 20)^\circ+isin(3 \times 20)^\circ\\\Rightarrow cos60^\circ+isin60^\circ

Now, the given complex number becomes:

2(cos60^\circ+isin60^\circ)

Let us put the values of cos60^\circ = \frac{1}{2} and sin60^\circ = \frac{\sqrt3}{2}

2(\dfrac{1}{2}+i\dfrac{\sqrt3}2)\\\Rightarrow (2 \times \dfrac{1}{2}+i\dfrac{\sqrt3}2\times 2)\\\Rightarrow \bold{1 +i\sqrt3 }

So, the rectangular form of the given complex number is:

\bold{1+i\sqrt3}

3 0
3 years ago
Write the augmented matrix for the following system of equations.<br> x - 2 = 0<br> 2y = 4 - 2
Kisachek [45]

9514 1404 393

Answer:

  \left[\begin{array}{cc|c}1&0&2\\0&2&2\end{array}\right]

Step-by-step explanation:

The system of equations can be written in standard form as ...

  x + 0y = 2

  0x +2y = 2

The augmented matrix representation of these is ...

  \left[\begin{array}{cc|c}1&0&2\\0&2&2\end{array}\right]

8 0
3 years ago
What is the cost of a pair of jeans that sells for $49 if the sales tax rate is 6%
lisov135 [29]

a pair of jenas that sell for $49

rate of tax is 6%

cost of that jeans is ?

Let the cost of jeans = x

through question

or, $49 = X + X×6%

or,$49 = X + X×6/100

or, $49 = 106X/100

or, $4900 = 106X

or, X = $4900/106

: X = $46.226

thus ; the cost of jeans is $46.226

7 0
2 years ago
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