The algebraic expression "8 minus the quotient of 15 and y" can be written as:
8 - (15 / y)
Given that a verbal expression we need to convert it in algebraic form,
The given algebraic expression is "8 minus the quotient of 15 and y."
To understand this expression, let's break it down step by step:
Quotient: The quotient refers to the result of dividing one number by another.
In this case, we are dividing 15 by y. The expression "15 divided by y" can be written as 15/y.
Minus: The word "minus" indicates subtraction. It means we need to subtract the value obtained in the previous step from 8.
Putting it all together, the algebraic expression "8 minus the quotient of 15 and y" can be represented as:
8 - (15/y)
This expression represents the difference between 8 and the result obtained by dividing 15 by y.
The expression represents the result of subtracting the quotient of 15 and y from 8.
The value of y will determine the specific numerical result when you substitute it into the expression.
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The solution is, Sam has 5 dimes and 7 quarters.
An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
here, we have,
Sam has $2.25 in quarters and dimes, and the total number of coins is 12.
let, Sam has n₁ dimes and n₂ quarters.
then, we have,
n₁*$0.10 + n₂*$0.25 = $2.25
and, we have,
n₁ + n₂ = 12
This means that:
n₁ = 12 - n₂
And:
(12 - n₂)*$0.10 + n₂*$0.25 = $2.25
12*$0.10 - n₂*$0.10 + n₂*$0.25 = $2.25
$1.20 + n₂*$0.05*(5-2) = $2.25
$1.20 + n₂*$0.05*3 = $2.25
$1.20 + n₂*$0.15 = $2.25
n₂*$0.15 = $2.25 - $1.20
n₂*$0.15 = $1.05
n₂ = ($1.05)/($0.15)
n₂ = 7
If n₂ = 7:
n₁ + 7 = 12
Therefore, n₁ = 5.
Answer:
5 dimes and 7 quarters.
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Answer:
We have to use the mathematical induction to prove the statement is true for all positive integers n.
The integer is divisible by 3 for every positive integer n.
is divisible by 3.
Hence, the statement holds true for n=1.
i.e. is divisible by 3.---------(2)
i.e. is divisible by 3.
We know that:
and
Hence,
As we know that:
was divisible as by using the second statement.
Also:
is divisible by 3.
Hence, the addition:
is divisible by 3.
Hence, the statement holds true for n=k+1.
Hence by the mathematical induction it is proved that:
The integer is divisible by 3 for every positive integer n.
Answer:
y = 7 - 5x
Step-by-step explanation:
20x + 4y = 28
4y = 28 - 20x
y = 28/4 - 20x/4
y = 7 - 5x
-TheUnknownScientist
Which simplified expression represents the total number of napa cabbage plants and bok choy plants in a section with y sprinklers? (5 points)
A.4y4 − 10y2 + 25
B.4y2 + 9y + 25
C.5y2 − 11y + 25
D.5y2 + 9y + 25
Answer:
D
Step-by-step explanation:
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