An equilateral triangle has a perimeter of 15x +3. what is the length of each side of the triangle?

Which expression is the simplest form of (27x^-9)^1/3?

lana [24]

$\sqrt[n]{a^m}=a^\frac{m}{n}\\\\\sqrt[n]{a}=a^\frac{1}{n}\\\\(a^n)^m=a^{nm}\\\\(a\cdot b)^n=a^n\cdot b^n\\\\(27x^{-9})^\frac{1}{3}=27^\frac{1}{3}(x^{-9})^\frac{1}{3}=\sqrt[3]{27}\cdot x^{-9\cdot\frac{1}{3}}=3x^{-3}=\dfrac{3}{x^3}$

8 0

3 years ago

Reflect across the line y=x. Find the coordinates of the reflected points

sweet-ann [11.9K]

E= 3,-3
I = 4,-3
X = 4,-1

7 0

3 years ago

1.) A man invested $600 at 8% per annum for 5 years. Calculate: a.) The simple interest payable b.) The total amount of money th

Bezzdna [24]

Answer:

Following are the solution to this question:

Step-by-step explanation:

Using formula:

$\text{Simple Interest} = \frac{P \times R \times T}{100} \\\\\text{ Total amount} = \text{principle}+ \text{Simple Interest}$

In question (1):

$Principle= \$ 600\\Rate = \ 8 \%\\Time= \ 5$

In point a:

$\to \frac{P \times R \times T}{100} \\\\\to \frac{(600 \times 8 \times 5)}{100}\\\\ \to 240$

In point b:

$\to amount = principle \ +\ simple \ interest$

$= 600 + 240 \\\\= 840$

In question (2):

$Principle= \$ 12,450\\Rate = \ 7.25 \%\\Time= \ 6$

In point a:

$\to \frac{P \times R \times T}{100} \\\\\to \frac{(12,450 \times 7.25 \times 6)}{100}\\\\ \to 5,415.75$

In point b:

$\to amount = principle \ +\ simple \ interest$

$= 12,450 + 5,415.75 \\\\= 17,865.75$

The 3 question is incomplete, that's why it can't be solved.

7 0

3 years ago

A cash register contains $10 bills and $20 bills with a total value of $520. If there are 32 bills total, then how many of each

ohaa [14]

12 is the number of $10 bills

20 is the number of $20 bills

Step-by-step explanation:

Hello,

Let's note

a the number of $10 bills

b the number of $20 bills

The total value is $520 so we can write the first equation (1)

$\boxed{\sf 10a \ + \ 20b \ = \ 520 }$

We know that there are 32 bills in total so we can write the second equation (2)

$\boxed{\sf a \ + \ b \ = \ 32 }$

(1) - 10*(2) gives

10a + 20b - 10(a+b) = 520 - 320 = 200

10a + 20b - 10a - 10b = 10b = 200

So b = 200/10=20

and then from (2) a = 32 - 20 = 12

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

7 0

3 years ago

Please show work and solve it! 100 points! n(n-7)=0

Dmitriy789 [7]

Step by step. :)

STEP
1
:
Equation at the end of step 1
0 - 7n • (n - 7) = 0
STEP
2
:
Equation at the end of step 2
-7n • (n - 7) = 0
STEP
3
:
Theory - Roots of a product
3.1    A product of several terms equals zero.    When a product of two or more terms equals zero, then at least one of the terms must be zero.    We shall now solve each term = 0 separately    In other words, we are going to solve as many equations as there are terms in the product    Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
3.2      Solve  :    -7n = 0    Multiply both sides of the equation by (-1) : 7n = 0

Divide both sides of the equation by 7:
                     n = 0
Solving a Single Variable Equation:
3.3      Solve  :    n-7 = 0    Add 7 to both sides of the equation :                        n = 7

This is what i got! if i’m wrong i’m so sorry
but i tried. have a amazing day☺️☺️

5 0

2 years ago