The total weight of 6 pieces of butter and a bag of sugar is 3.8lb. If the weight of the bag of sugar is 1.4 lbs what is the weight of each piece of butter
Answers
the total weight of 6 pieces of butter and bag of sugar is 3.8 lb
lets name a piece of butter as x
there are 6 pieces of butter - then x * 6 = 6x
if we write an equation for the total cost
6x + bag of sugar = 3.8 lb
weight of bag of sugar = 1.4 lb
6x + 1.4 lb = 3.8 lb
6x = 3.8 - 1.4
6x = 2.4 lb
x = 2.4/6
x = 0.4 lbs
therefore weight of a piece of butter is 0.4 lbs
The weight of each piece of butter is .
Further explanation:
Given:
The total weight of 6 pieces of butter and the weight of a bag of sugar is equal to 3.8 lbs.
The weight of the bag of sugar is 1.4 lbs.
Our aim is to find the weight of each piece of butter.
Calculation:
Let the weight of each piece of butter to be lbs.
Also consider the weight of a bag of sugar to be lbs.
Then the weight of 6 pieces of butter is .
Therefore, the total weight of 6 pieces of butter and one bag of sugar is calculated as.
Given that total weight of 6 pieces of butter and one bag of sugar is equal to 3.8.
Now, the total weight in the form of an equation can be written as,
……(1)
Since, the weight of one bag of sugar is equal to 1.4 lbs., then substitute 1.4 for in equation (1) to obtain the value of
as follows:
Subtract 1.4 on both sides of above equation as follows:
Now, divide both sides of above equation by 6 to obtain the value of as follows:
Therefore, the weight of each piece of butter is equal to .
Learn more:
1. Learn more about equations brainly.com/question/788903
2. Learn more about algebraic expression brainly.com/question/5533462
Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Linear equations
Keywords: Weight, pieces, butter, bag, sugar, total, lbs., equations, algebraic equations, linear, subtract, 6x+y=3.8, x=0.4.
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The value of b that makes x-2 a factor of x² - bx + b is 4.
Polynomial is an expression involving the operations of addition, subtraction, multiplication of variables.
Types of polynomials are quadratic, linear, cubic and so on.
The factor theorem states that; when f(k) = 0, then (x – k) is a factor of f(x).
Given that x-2 is a factor of x² - bx + b, hence:
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Therefore the value of b that makes x-2 a factor of x² - bx + b is 4.
Find out more at: brainly.com/question/2449381
we have that
we know that
If is a factor of
then
for
is equal to zero
so
therefore
the answer is
the value of b is equal to
Answers
So now we have -18-6x-2x=14.
Simplify that to -18-8x=14.
Add 18 on both sides.
Now we have -8x=14+18.
-8x=32
Divide by -8 on both sides.
We get x=-4.
A (0,0)
C (1,0)
B (0, 1)
Answers
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x + 1 ← is in slope- intercept form
with c = 1, thus
(0, 1) ← is the y- intercept
Answers
the cost of 4 bags of popcorn is $9.80 ( 2.45 x 4 )
the total weight of the popcorn would be 40 ounces ( 4 x 10 )