Simplify the expression below.<br> y1

Eliminate the y in the following system of equations. What is the result when you add the two equations?

nika2105 [10]

Answer:

Step-by-step explanation:

4x=29

X=29/4

5 0

3 years ago

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Jeff can weed the garden twice as fast as his sister Julia. Together they can weed the garden in 3 hours. How long would it take

Leona [35]

<h2>Hello!</h2>

The answer is:

The correct option is:

A) Jeff, 4.5 hours; Julia 9 hours.

To solve the problem, we need to write two equations using the given information.

So, writing the first equation we have:

We know that Jeff can weed the garden twice as fas as his sister Julia, so:

$JeffRate=2JuliaRate$

Also, from the statement we know that they can weed the garden in 3 hours, so, writing the second equation we have:

$JeffRate+JuliaRate=\frac{1garden}{3hours}$

Then, we need to substitute the first equation into the second equation in order to isolate Julia's rate, so, solving we have:

$JeffRate+JuliaRate=\frac{1garden}{3hours}$

$2JuliaRate+JuliaRate=\frac{1garden}{3hours}$

$3JuliaRate=\frac{1garden}{3hours}$

$JuliaRate=\frac{1garden}{3hours*3}=\frac{1garden}{9hours}$

We have that Julia could weed the garden by herself in 9 hours.

So, calculating how long will it take to Jeff, we have:

$JeffRate=2*JuliaRate\\\\JeffRate=2*\frac{1garden}{9hours}=\frac{2garden}{9hours}=\frac{1garden}{4.5hours}$

We have that Jeff could weed the same garden by himself in 4.5 hours.

Hence, the correct option is:

A) Jeff, 4.5 hours; Julia 9 hours.

Have a nice day!

8 0

3 years ago

Explain Each Part please!!!

ch4aika [34]

Constant of Variation has this formula for Direct Variation.
y = kx
Where y = cost in dollars; x = length in meters; k = constant

We will use the formula for direct variation because the problem states that the cost varies directly to the length.

In the problem we need to get the constant of variation.

k = y/x
k = $4500 / 200 meter
k = $22.50 cost per meter.

A.) The equation relating C and s is:

k = C/s
* i just substituted C for y and s for x.

B.) The constant of variation represents the additional cost that the company will pay for every meter in length they add. which is $22.50 per meter.

C.) y = kx ; substitute C and s to y and x respectively;

C = ks
C = $22.50 * 700 m
C = $15,750

8 0

3 years ago

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This is fractions help please

abruzzese [7]

1/4 + n = 11/12
Find and convert to common denominator
3/12 + n= 11/12
Then isolate n by subtracting 3/12 from both sides
n= 8/12 = 2/3 Aka A

4 0

2 years ago

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Two students are assigned a census in a town of 200 people to determine how many pairs of shoes each person owns. Neither studen

Galina-37 [17]

B) her sample was larger.