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3 years ago

What's 8/7x^3+x^4+6x+1 in standard form

1 answer:

4 0

Please enclose fractions such as 8/7 inside parentheses:

<span>(8/7)x^3+x^4+6x+1

Next, arrange these four terms in order of power of x:

</span>x^4 + (8/7)x^3+ 6x+1 This is the standard form you wanted.

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Clarie takes private tennis lessons every 6 days and piano lessons every 4 days.In 60 days,how often will she have tennis and pi

kozerog [31]

multiples of 4: 4,8,12,16,20,24,28,32,36,40,44,48,52,56,60

12 24 36 and 48 are the only common factors

so 4 days

4 0

3 years ago

A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 5 tables is $35. The total cost to re

iren [92.7K]

Answer:

A chair costs $2.50 each and a table costs $6 each.

Step by Step Explanation:

First, let's break this down to two equations.

Equation 1: 2c + 5t = 35

Equation 2: 8c + 5t = 38

Let's first solve for "t" (tables) by modifying Equation 1 so that it has the same number of chairs as Equation 2.

To do that, we must times the equation by 4, so:

4(2c + 5t = 35) -> 8c + 20t = 140.

So now the two equations we have are:

1: 8c + 20t = 140

2: 8c + 3t = 38

Now that they have the same number of chairs (8c), we can subtract Equation 2 from Equation 1, and that gets us the following:

17t = 102

t = 102 / 7 = 6.

Therefore, a table costs $6.00 to rent.

Knowing this, we can use either equation to now find "c". Let's use Equation 1.

2c + 5(6) = 35

2c + 30 = 35

2c = 5

c = 5 / 2 = 2.5

So now we know each chair costs $2.50 to rent. Let's use Equation 2 to confirm both the costs of the table and the chair.

8(2.5) + 3(6) = 38

20 + 18 = 38

38 = 38.

Therefore, each chair costs $2.50 and each table costs $6.

3 0

3 years ago

A varsity boy's basketball team has ratio of seniors to juniors that is 7:4. The varsity girl's basketball team has a ratio of s

valentina_108 [34]

Answer:

Girl's basketball team has more seniors

Step-by-step explanation:

A varsity boy's basketball team has ratio of seniors to juniors that is 7:4.

Let there are 7x seniors and 4x juniors in boy's basketball team.

ATQ,

7x+4x = 12

11x = 12

x = 12/11

Seniors = $7\times \dfrac{12}{11}=7.63$

The varsity girl's basketball team has a ratio of seniors to juniors that is 3 to 2.

Let there are 7x seniors and 4x juniors in girl's basketball team.

3x+2x = 12

5x = 12

x = 12/5

Seniors = $7\times \dfrac{12}{5}=16.8$

As we can see that girl's basketball team has more seniors as compared to the boy's team.

4 0

3 years ago

An architect planned to construct two similar stone pyramid structures in a park. The figure below shows the front view of the p

Marizza181 [45]

The correct answer is C

7 0

3 years ago

Read 2 more answers

Need Help ASAP!!.

mihalych1998 [28]

Answer:

Part 1) Greta's right, the triangle is incorrect.

Part 2) $34,203\ ft$

Part 3) The height of the tree is $23.3\ ft$ , Trey’s house is not at risk

Step-by-step explanation:

Part 1) we know that

In the right triangle of the figure

$sin(30\°)=\frac{1}{2}$

$sin(30\°)=\frac{6\sqrt{3}}{12}=\frac{\sqrt{3}}{2}$

Compare

$\frac{1}{2}\neq\frac{\sqrt{3}}{2}$

therefore

The triangle is not correct

Because

The side adjacent to the 30 degree angle should be $6\sqrt{3}$ and the side opposite the 30 degree angle should be $6$

Part 2)

Let

x--------> the distance from the airplane to the SCCA (hypotenuse of the right triangle)

we know that

$sin(17\°)=\frac{10,000}{x}$

$x=\frac{10,000}{sin(17\°)}$

$x=34,203\ ft$

Part 3)

Let

x--------> the height of the tree

we know that

$tan(43\°)=\frac{h}{25}$

$h=tan(43\°)(25)=23.3\ ft$

$23.3\ ft< 25\ ft$

therefore

Trey’s house is not at risk

5 0

4 years ago