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azamat
2 years ago
6

Alexis has $115 and he is earning $50 per week at his summer job. Eduardo has $130 and is earning $40 per week at his summer job

. Which system of equations could be used to determine how many weeks they must work to earn the same amount?​
Mathematics
2 answers:
k0ka [10]2 years ago
6 0

Answer:

addition or multiplication

Gnesinka [82]2 years ago
5 0

Answer:

Step-by-step explanation:

Alexis earned to equal Eduardo earned in how many weeks

Alexis earned           115 + 50w = Total        w equals weeks

Eduardo earned      130 + 40w = Total        w equals weeks

subtract equations    -15 + 10w =  0

                                            10w = 15

                                             w = 1.5 weeks   they both will have $190

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Two squares always, sometimes ,or never similar ? explain
ruslelena [56]
Two squares is sometimes similar.

A square can be any size, as long as all four of it's sides are equal.
A square would be a rectangle if two of the sides were different than the rest.
A square would be a trapezoid if only one of it's sides were different.

For a square to be always similar, the ratio of it's sides must be equal to the ratio of the second square.

For example:

All of a square's sides are 5 across.
In order for another square to be ALWAYS similar, it's sides must be a multiple of (The length of the original square's sides) 5 (10,15,20,25,30...)

This is called a ratio. (5/10 = 1/2, 5/15 = 1/3, 5/20 = 1/4 etc...)
3 0
3 years ago
The sum of the first 3 terms of a geometric series is 171 and the common ratio is 2/3
S_A_V [24]

Answer:

81

Step-by-step explanation:

The formula for calculating the sum of geometric series varies depending on the value of its common ratio.

Given the common ratio to be 2/3 which is less than 1, the formula to be used is given as;

Sn = a(1-rⁿ)/1-r

n is the number of terms of the series

a is the first term

r is the common ratio.

Sn is the sum of the series

Given n = 3, r = 2/3 and Sn = 171,

a= ?

Substituting this values in the formula we have;

171 = a{1-(2/3)³}/1-2/3

171 = a{1-8/27}/(1/3)

171 = a(19/27)/(1/3)

171 = 19a/27 × 3/1

171 = 57a/27

57a = 171×27

57a = 4,617

a = 4,617/57

a = 81

The first term of the series is 81

3 0
2 years ago
-3/4(4x+12)< - (2x+8)
Dovator [93]

Answer:

x>-1

Step-by-step explanation:

We will assume that here the question prompt us to solve the Inequality given and find the value of x for which is true and valid.

To begin with, let us re write our inequality clear as:

-\frac{3}{4}(4x+12)    Eqn(1).

Now, since this is an Inequality it must be noted that <em><u>for any operation of multiplication/devision</u></em> with a<u> </u><u><em>Negative number</em></u>, the order of the Inequality will change from ≤ to ≥ and vice versa.

So having said that, let us solve Eqn(1) and obtain a value for x as follow:

\frac{3}{4}(4x+12)>(2x+8)              Remove Negative sign from both signs and change order of inequality from < to >.

\frac{12}{4}x+\frac{36}{4}>2x+8                Factor Out Bracket on Left Hand Side

\frac{12}{4}x+\frac{36}{4}>\frac{8}{4}x+\frac{32}{4}             Make Common Denominator on Both Sides

12x+36>8x+32             Eliminate denominator to simplify and remove fractions

12x-8x>32-36             Gather equal terms on each side

4x>-4                              Simplify

x>-1                              Solve for x

<em>Thus solving the inequality gives that x is greater than -1:</em>

<em> i.e. </em>x>-1    

8 0
3 years ago
What is the solution to 4^(log4(x+8))=4^2<br><br>x=-8<br>x=-4<br>x=4<br>x=8
miss Akunina [59]
Hi there! The answer is x = 8.

{4}^{ log_{4}(x + 8) }  =  {4}^{2}
Let's solve this equation step by step!


First we use the following rule.
{g}^{a}  =  {g}^{b}  \\ a = b
which basically means that an exponential equation with the same base on both sides of the equation must also have the same exponents.

We get the following.
log_{4}(x + 8)  = 2

Now we use the following rule for logarithms.
log_{a}(x)  = b \\ x =  {a}^{b}

When we apply this rule in our eqiation, we end up with the following.
x + 8 =  {4}^{2}

Now we only need to do some basic math, work out the exponents first.
x + 8 = 16

Subtract 8.
x = 8

~ Hope this helps you!


3 0
3 years ago
Read 2 more answers
Construct a polynomial function with the following properties: fifth degree, 2 is a zero of multiplicity 4, −2 is the only other
MrMuchimi

9514 1404 393

Answer:

  p(x) = 3(x -2)^4(x +2) . . . in factored form

  p(x) = 3x^5 -18x^4 +24x^3 +48x^2 -144x +96  . . . in standard form

Step-by-step explanation:

When a polynomial has a zero at x=p, it has a factor of (x -p). The exponent of the factor is the multiplicity of the zero. The product of factors can be multiplied by 3 to make the leading coefficient be 3.

  p(x) = 3(x -2)^4(x -(-2))

  = 3(x^4 +4(-2)x^3 +6(-2)^2x^2 +4(-2)^3x +(-2)^4)·(x +2)

  = 3(x^4 -8x^3 +24x^2 -32x +16)(x +2)

  = 3(x^5 -6x^4 +8x^3 +16x^2 -48x +32)

  p(x) = 3x^5 -18x^4 +24x^3 +48x^2 -144x +96

5 0
2 years ago
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