Translate the problem into a mathematical sentence, using c as your variable

Which of the following equations have infinitely many solutions? Choose all answers that apply: Choose all answers that apply: (

TiliK225 [7]

Answer:

All options are correct.

Step-by-step explanation:

In option (A), the given equation is

$x-37=x-37$

Add 37 on both sides.

$x-37+37=x-37+37$

$x=x$

Subtract x from both sides.

$x-x=x-x$

$0=0$

LHS=RHS for all values of x. It means equation x-37=x-37 has infinite many solutions.

Similarly.

In option (B), the given equation is

$73x-37=73x-37$

$73x=73x$

$0=0$

LHS=RHS for all values of x. It means equation 73x-37=73x-37 has infinite many solutions.

In option (C), the given equation is

$37x-37=37x-37$

$37x=37x$

$0=0$

LHS=RHS for all values of x. It means equation 37x-37=37x-37 has infinite many solutions.

In option (D), the given equation is

$74x-37=74x-37$

$74x=74x$

$0=0$

LHS=RHS for all values of x. It means equation 74x-37=74x-37 has infinite many solutions.

Therefore, all options are correct.

5 0

2 years ago

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A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as

mamaluj [8]

Answer:

The farmer have at first 202 chickens.

Step-by-step explanation:

Given:

A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as ducks left.

Now, to find the chickens farmer have at first.

Let the chickens be $x.$

And, the ducks be $y.$

As, the farmer had twice as many chickens as ducks on his farm.

So, $x=2y$ ......(1)

As, given the farmer after selling 166 chickens and ducks, he had half as many chickens as ducks left.

According to question:

$x-166=(y-29)\times \frac{1}{2}$

$x-166=\frac{y-29}{2}$

Substituting the value of $x$ from equation (1) we get:

$2y-166=\frac{y-29}{2}$

By cross multiplying we get:

$4y-332=y-29$

Adding both sides 332 we get:

$4y=y+303$

Subtracting both sides by $y$ we get:

$3y=303$

Dividing both sides by 3 we get:

$y=101.$

Now, to get the number of chickens substituting the value of $y$ in equation (1):

$x=2y\\\\x=2\times 101\\\\x=202.$

Therefore, the farmer have at first 202 chickens.

7 0

3 years ago

Find the equation of the line that has a slope of 3 and passes through (-1, 2)

Nadusha1986 [10]

Answer:

y= 3x+5

Step-by-step explanation:

start with the linear equation formula

y= mx+b

indentify what you already have.

x= -1 and y= 2 and m(slope)= 3

We are solving for b, so plug in what you have.

2= 3(-1)+b

Simplify.

2= -3+b

Add 3 on both sides.

5= b

Rewrite your equation with the x and y values.

y= 3x+5

4 0

3 years ago

Lauren bikes 1 1/3 miles in 1/1/0 hour. What is her rate of speed in miles per hour?

Amanda [17]

speed = distance / time

1 1/3 = 4/3

so

speed = (4/3) / (1/10)

= (4/3) * 10

= 40/3 mph

or 13 1/3 mph

Hope this helps!

3 0

2 years ago

I need help!

xenn [34]

Answer:

2260 in^2

Step-by-step explanation:

scaled basically means multiplied by

so 226 times 10 is 2260

dont forget your units or you will get it wrong

5 0

3 years ago

Read 2 more answers