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kap26 [50]
4 years ago
13

Esmeralda simplified a complex fraction her work is shown below

Mathematics
2 answers:
Ksivusya [100]4 years ago
7 0

Answer: Esmeralda added the numerators.

Esmeralda added the denominators.

Esmeralda did not use the reciprocal of the divisor.

kicyunya [14]4 years ago
6 0

Answer:

Should be (-21/4) (2/3) = -42/12 = -21/6

So answer is  

Esmerelda did not use the reciprocal of the divisor.

Step-by-step explanation:

You might be interested in
Hello, I'm trying to solve 6x + y = 4, x - 4y = 19. I have found the y but I cant seem to find the x. Plz help and we cant use d
gizmo_the_mogwai [7]

Answer:

x=\frac{7}{5}

y=-\frac{22}{5}

Step-by-step explanation:

Given:

The given expressions are.

6x+y=4

x-4y=19

We need to find x and y values.

Solution:

Equation 1⇒ 6x+y=4

Equation 2⇒ x-4y=19

First solve the equation 1 for y.

6x+y=4

y = 4-6x --------(3)

Substitute y = 4-6x in equation 2.

x-4(4-6x)=19

Simplify.

x-(4\times 4 - 4\times 6x)=19

x-(16-24x)=19

x-16+24x=19

Add 16 both side of the equation.

25x-16+16=19+16

25x=35

x=\frac{35}{25}

Divide Numerator and denominator by 5.

x=\frac{7}{5}

Substitute x value in equation 3 and simplify.

y=4-6(\frac{7}{5})

y=4-\frac{6\times 7}{5}

y=4-\frac{42}{5}

y=\frac{5\times 4-42}{5}

y=\frac{20-42}{5}

y=-\frac{22}{5}.

Therefore, the value of x=\frac{7}{5} and y=-\frac{22}{5}.

6 0
4 years ago
6. As part of their employee benefits, all workers at Light and Power Electric Company
Semenov [28]

Answer:

  $1769.06

Step-by-step explanation:

The sum of Mia's three highest salaries is ...

  $92,000 +94,800 +96,250 = $283,050

so the average is ...

  $283,050/3 = $94,350

Her pension is then ...

  0.01875 × $94,350 = $1769.06

_____

<em>Additional comment</em>

This is equivalent to the total of those salaries, divided by 160.

  T/3 × 0.01875 = T × (0.01875/3) = T × 0.00625 = T/160

Sometimes, there are simpler ways to calculate things like this.

8 0
3 years ago
how do i get the right hour when she runs 26. mile marathon at an average pace of 6.2 per mile. how long will take her to finish
iris [78.8K]

well, we know her rate is on average 6.2 miles per 1hr or 6.2 m/h, so how long will it be for 26 miles?

\begin{array}{ccll} miles&hrs\\ \cline{1-2} 6.2&1\\ 26&x \end{array}\implies \cfrac{6.2}{26}=\cfrac{1}{x}\implies 6.2x=26\implies x = \cfrac{26}{6.2}\implies x \approx 4.19355 \\\\\\ \textit{approximately~~~~ 4hrs 11mins and 37secs}

how did we get the minutes and seconds?  use the same rule or proportions above with hours and minutes,  4.19355, 4 + 0.19355, we know there are 60 mins per 1hr, how many in 0.19355 hrs? well, simply 60 * 19355, which gives us 11 minutes, and you can do the same thing for the seconds.

6 0
3 years ago
Endpoint: (-9,-1), midpoint: (8,14) given the midpoint and one endpoint of a line segment, find the other endpoint.
jolli1 [7]

Answer:

 (25, 29)

Step-by-step explanation:

The midpoint formula can be solved to give an expression for one end point of a line segment in terms of the other end point and the midpoint.

<h3>Formula</h3>

The midpoint (M) of segment AB is found from ...

  M = (A +B)/2

Solving for B, we get ...

  B = 2M -A

<h3>Application</h3>

For A(-9, -1) and M(8, 14), we find the end point B to be ...

  B = 2(8, 14) -(-9, -1)

  B = (16 -(-9), 28 -(-1)) = (25, 29)

The other end point is (25, 29.

7 0
2 years ago
2n + 5 = n - 5<br> Find the number that n is<br> And please explain :)
Archy [21]

Answer:

-10

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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