B. Noah writes the equation 3 (x+7)=57 to represent the situation. DO YOU agree with him? Explain your answer.

Mathematics

1 answer:

KonstantinChe [14]3 years ago

4 0

Answer:

Yes , i agree with Noah that the equation would be 3(x + 7) = 57

Step-by-step explanation:

P.S - The exact question is -

To find - Noah writes the equation 3 (x+7)=57 to represent the situation.

DO YOU agree with him? Explain your answer.

Proof -

Yes , i agree with Noah

Because in the figure we can see that there is x written 3 times and 7 written 3 time and whole the values is equal to 57 .

Because 57 is divided into x 7 x 7 x 7

∴ we can write it as

3 times x + 3 times 7 = 57

⇒3(x) + 3(7) = 57

⇒3(x+7) = 57

Ans Noah give the same equation 3 (x+7)=57

So, I agree with Noah.

You might be interested in

A vat contains 18 gallons of liquid when a drain pipe opens and the liquid begins to leave the vat at a rate of 4 gallons per ho

SashulF [63]

Answer:

$y=-4x+18$

Step-by-step explanation:

Let x be the number of hours.

We have been given that a vat contains 18 gallons of liquid when a drain pipe opens and the liquid begins to leave the vat at a rate of 4 gallons per hour.

To graph the amount of liquid first of all we will find the equation of line for our given situation.

Since we know that equation of a line in slope-intercept form is: $y=mx+b$ , where, m = slope and b = y-intercept or initial value.

As liquid is leaving the vat at a rate of 4 gallons per hour, this means that amount of liquid in vat in decreasing 4 gallons per hour. As slope is also known as rate of change, so slope of our given line will be -4. A negative slope means that with each increase in x our y will decrease by 4.

As initially there were 18 gallons of liquid in vat, so our y-intercept will be 18.

Upon substituting our given values in slope-intercept form of equation we will get,

$y=-4x+18$

Let us find x-intercept by substituting y=0 in our equation.

$0=-4x+18$