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4 years ago

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:

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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