Answer:
A)
Step-by-step explanation:
Given expression:
To factor the given expression completely.
Solution:
In order to factor the expression, we will factor in pairs.
We will factor the G.C.F of the terms in the pairs.
G.C.F. of and can be given as:
Thus, G.C.F. =
G.C.F. of and can be given as:
Thus, G.C.F. =
The expression after factoring the G.C.F. pairs is given as:
Taking G.C.F. of the whole expression as is a common term.
The expression is completely factored.
Step-by-step explanation:
n - the larger of two i ntegers
m - the smaller of two integers
n + m = 74 → n = 74 - m
n = 2m + 26
Therefore we have:
2m + 26 = 74 - m |subtract 26 from both sides
2m = 48 - m |add m to both sides
3m = 48 |divide both sides by 3
m = 16
n = 74 - 16 = 58
Answer: 16 and 58.
The possible number of seats that the manager can order is 260 and 270.
270 is nearest to 267.
The least number of seats the manager should order is 270
<h3>What is an expression?</h3>
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of seats needed = 267
Seats are sold in groups of 10.
The least number of seats to order:
We need a multiple of 10 nearest to 267.
We have,
26 x 10 = 260
27 x 10 = 270
270 is nearest to 267.
Thus,
The least number of seats the manager should order is 270
Learn more about expressions here:
brainly.com/question/3118662
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The trick here is that both times, part of the weight is soup
and part of the weight is the empty metal can.
1/2 soup + MTcan = 5
1/3 soup + MTcan = 4
Before going any further, it will make it a lot easier later if we change
the fractions in both equations to a common denominator:
1/2 = 3/6
1/3 = 2/6
3/6 soup + 1 MTcan = 5
2/6 soup + 1 MTcan = 4
Subtract the 2nd equation from the 1st one:
1/6 soup = 1
Multiply each side by 6 : <u>1 soup = 6</u>
Substitute this in the first equation:
1/2 soup + 1 MTcan = 5
1/2 ( 6 ) + 1 MTcan = 5
3 + 1 MTcan = 5
Subtract 3 from each side: <u>1 MTcan = 2</u>
The empty can weighs 2.
All the soup it can hold weighs 6.
A full can of soup weighs (2 + 6) = <em><u>8</u></em>