simplify 3 2/5 ÷ 51/15

Answer:

X = 10

Z = 67

Step-by-step explanation:

We see that the angles are formed by the intersection of two lines.

Angles z and  67° are vertically opposite angles and therefore they are equal to each other

z°= 67°

Angles z and (7x + 43) are supplementary angles. The sum of these angles add up to 180°

z + 7x + 43 = 180

67 + 7x + 43 = 180

7x + 110 = 180

7x = 180 -110 = 70

x = 70/7 = 10

Let's begin by listing out the given information:

The area of a sector is calculated using the formula:

1.

Step-by-step explanation:

the inside expression of an absolute value expression can be positive or negative, but the result is only the positive one.

therefore, for our example here the negative case would be

2.5x - 6.8 = -12.9

which gives us

2.5x = -6.1

x = -6.1/2.5 = -2.44

and the positive case would be

2.5x - 6.8 = 12.9

and that gives us

2.5x = 19.7

x = 19.7/2.5 = 7.88

n⁴ - 2n³ - 23n² + 24n + 144 is the standard form of given zeroes.

What is a linear equation in mathematics?

A linear equation is an algebraic equation of the form y=mx+b. m is the slope and b is the y-intercept. The above is sometimes called a "linear equation in two variables" where y and x are variables.

                              A linear equation is an equation that raises a variable to the first power. ax+b = 0 is an example of a 1 variable. x is a variable and a and b are real numbers.  

Roots : -3(mult . 2), 4(mult.2)

the function is given as

     f(n) = (n + 3)² (n - 4)²

         = (n + 3) (n + 3 ) ( n - 4 ) ( n - 4)

        = (n² + 6n + 9) (n² - 8n + 16 )

        = n⁴ - 8n³ + 16n² + 6n³ - 48n² + 96n + 9n² - 72n + 1

collecting like term,

    f(n) = n⁴ - 2n³ - 23n² + 24n + 144

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The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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Answer:Each tennis ball cost 0.67 cents.

Step-by-step explanation:

$10.05 divided by 15 equals 0.67 cents.

0.67 x 15 = $10.05

Answer:

orange juice is better than Apple Juice

Answer:

A. the solution set is r3

(Simplify your answer. Use a comma to separate answers as needed)

Answer:

5

Step-by-step explanation:

Answer:

-3x

Step-by-step explanation:

24 divided by -8 = -3x

Answer:

52x + 26y + 20z

Step-by-step explanation:

Assuming you needed the answer to be simplified!

Answer:

60

Step-by-step explanation:

50 x 10 = 500

800 - 500 = 300

300 divided by 5 = 60

Answer:

B)60

Step-by-step explanation:

Answer:

4005

Step-by-step explanation:

3,998 - (-7) = ?

Two negative signs will make a positive sign.

3,998 - (-7) = 3998 + 7 = 4005

So, the answer is 4005

Answer:

Step-by-step explanation:

Answer:

1.  x = -1  y= -2
2. infinitely many solutions

3. x = 6 y= -7

4.no solution

5. x = -3 y = -17

6. x= 3 y = 7

Step-by-step explanation:

1) y=x-1

7x+6y= -19

6y= -19 -7x

y= (-7x-19)/6

since x-1 and (-7x-19)/6 are both equal to y they are equal to each other

this is how to get x

x-1 = (-7x-19)/6

6x-6 = -7x-19

13x = -13

x = -1

now put back -1 in the equation to get y

y=x-1

y = -1 -1

y= -2

2)-10x+2y=-12

y=5x-6

2y= -12 + 10x

y= -6 + 5x

y = 5x - 6

5x-6 = 5x - 6

0 = 0

when something is

equal to itself its

infinitely many solutions

(when something is not equal to something its no solution)

((when something is equal to just one answer its one solution)

3) y= -4x+17

y=x-13

-4x+17 = x-13

30 = 5x

x = 6

y=x-13

y=6-13

y= -7

4) -3x-15y=8

x+5y=5

-3x-15y=8 -> y = -1/15(3x-8)

5y=5-x -> y= 1/5 (5-x)

-1/15(3x-8) = 1/5 (5-x)

-x-8/3 = 5-x

0 = 23/3

(when something is not equal to something its no solution)

5) -3x+6y=-3

3x-y=8

-3x+6y= -3 -> y = 1/6(3x-3)

3x-y=8 -> y = 3x-8

1/6(3x-3) = 3x-8

3x-3 = 18x-48

x-1 = 6x - 16

5x = -15

x = -3

3x-y=8

3(-3)-y=8

-9-8 = y

y = -17

6) -6x+6y=24

-3x-8y=1

-6x+6y=24 -> y = 1/6(6x+24) -> y = x+4

-3x-8y=1 -> -3x-1 = 8y -> y = 1/8 (-3x-1)

1/8 (-3x-1) = x+4

-3x-1 = 8x+32

11x = 33

x= 3

-6x+6y=24

-6(3)+6y=24

-18 + 6y = 24

6y = 24 + 18

6y = 42

y = 7

​Answer:

14.29cm

Step-by-step explanation:

Height of the building=10cm

Angle of depression=60°

We are therefore asked to find the distance from the stone to the

the foot of the building;Therefore we use Tan ratio which is opp/adj;

Let the distance from the stone to the foot of the building be x;

10/x=Tan60°

10/x=1.7/1

We then cross multiply to get 1.7x=10

x=10/1.7

=10*10/1.7*10

=100/17

=14.29cm.

The percentage of young adults who exercised four or five days a week is 36%

Out of the 25 young adults surveyed, a total of 4 people exercised four days a week and 5 people exercised five days a week. To calculate the percentage of young adults who exercised four or five days a week, we add the number of people who exercised four days a week to the number of people who exercised five days a week, which gives us a total of 9.

We then divide this by the total number of people surveyed (25) and multiply by 100 to get the percentage.

So the percentage of young adults who exercised four or five days a week is

(9/25) x 100 = 36%

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Answer:

since 5 is the y coordinate, subtract 8. 5-8=-3!

Step-by-step explanation:

Hope this helps!

Answer:

I think you would have to multiply 1,500 by 12 and also by 18 to figure it out.

Step-by-step explanation:

" "

Answer:

\((-\infty,2)\)

Step-by-step explanation:

Since \(-3x+6\nless 0\), then \(x\ngtr 2\), therefore, the domain of the function is \((-\infty,2)\).

Answer:

no

Step-by-step explanation:

because Kira ordered 5 pieces of crab while Marcy has ordered 6 pieces of crab

Answer:

110

Explanation:

First move the decimal point over to the left twice.

.375

Then multiply 80 by .375 like this :

.375 x 80 = 30

Lastly, add 30 to 80 and put the dollar sign.

$110

The rotation is shown in the picture and the new coordinates are  F' (-2, 0), O' (6, 2), and  E' (3, 2)

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

As we can see in the graph a triangle is plotted on the coordinate plane.

If we rotate it around the origin -90 degree

Here negative sign means the clockwise direction.

The point F becomes F' (-2, 0)

The point O becomes O' (6, 2)

The point E becomes E' (3, 2)

Thus, the rotation is shown in the picture and the new coordinates are  F' (-2, 0), O' (6, 2), and  E' (3, 2)

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Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Principal (P)= $1,800

Number of periods (t)= 6 months

Monthly interest rate (r)= 0.144/12= 0.012

To calculate the interest to be paid and the total amount due, we need to use the following formula:

I= P*r*t

I= 1,800*6*0.012

I= $129.6

Total amount= $1,929.6

Hi! I hope you're enjoying your day!

Let's add the following polynomials.

How to add them? Just combine like terms. :)

\(\bold{2x^2-10x+1 ~and~x^2+15x-8}\)

\(\bold{2x^2+x^2-10x+15x+1-8}\)

Hence, the answer is

\(\boxed{\boxed{\bold{3x^2+5x-7}}}\)

\(\rule{250}{2}\)

\(\bold{2x^3-3x^2+5\;and\;5x^2-3x^3+7}}}\\\)

Combine Like terms:

\(\bold{2x^3-3x^3-3x^2+5x^2+5+7}\)

Hence, the answer is

\(\boxed{\boxed{\bold{-x^3+2x^2+12}}}\)

Hope everything is clear.

If you have any questions, please comment.

#LearningIsFun

Answer: ....

Ok done. Thank to me :>

Answer:

1.5

Step-by-step explanation:

Answer:

1.5

Explanation:

-4  -3  0  1.5  5.5  7

this is because the median is 1.5 and if you cross out every number from each number u'll find urself with 1.5.

ex:

-4 -3 -2 -1 0 1 2 3 4 5 6 7

-3 -2 -1 0 1 2 3 4 5 6

-2 -1 0 1 2 3 4 5

-1 0 1 2 3 4

0 1 2 3

1 2

and in between 1 and 2 is 1.5 so 1.5 is ur answer

i hope this helped <3