MATHEMATICS HIGH SCHOOL

What is the algebraic expression for the following word phrase the quotient of 3 and z

Answers

Answer 1

Answer:

Answer:

$(3)/(z)$ .

Step-by-step explanation:

Given : phrase the quotient of 3 and z.

To find :what is the algebraic expression for the following word phrase .

Solution : We have given

Phrase the quotient of 3 and z.

We get the quotient when we divide the two terms.

So , We need to divide 3 and z to get the quotient.

Quotient = $(3)/(z)$ .

Therefore, $(3)/(z)$ .

Answer 2

Answer:

The algebraicexpression for the word phrase "the quotient of 3 and z" is 3/z or 3 ÷ z.

We have,

The word "quotient" indicates division, so we know that we need to perform a division operation.

In this case, we are dividing the number 3 by the variable z.

In algebraic notation, the division is typically represented using the forward-slash (/) or the division symbol (÷).

Therefore, we can write "the quotient of 3 and z" as 3/z or 3 ÷ z.

Both expressions convey the idea that we are dividing 3 by the value of z.

Thus,

The algebraicexpression for the word phrase "the quotient of 3 and z" is 3/z or 3 ÷ z.

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Answers

$6(10^4) + 4(10^3) + 8(10^2) + 1(10^1) + 7(10^0)\n\n = 6(10,000) + 4(1,000) + 8(100) + 1(10) + 7(1)\n\n=60,000 + 4,000 + 800 + 10 + 7\n\n = \boxed{\bf{64,817}}$

Your answer is D.

In a pot worth $2.35, there are 6 quarters, 5 dimes, 5 pennies, and the rest of the coins are nickels. What is the ratio of nickels to dimes?

Answers

Answer:

6:5

Step-by-step explanation:

It is given that a pot worth $2.35 and there are 6 quarters, 5 dimes, 5 pennies, the rest of the coins are nickels.

We know that

$1 = 100 cents

1 penny = 1 cent = $0.01

1 nickel = 5 cents. = $0.05

1 dime = 10 cents. = $0.10

1 quarter = 25 cents = $0.25

The value of 6 quarters is

$6* 0.25=1.50$

The value of 5 dimes is

$5* 0.10=0.50$

The value of 5 pennies is

$5* 0.01=0.05$

Let x be the number of nickels. So, the value of x nickels is

$x* 0.05=0.05x$

Total value of 6 quarters, 5 dimes, 5 pennies, and x nickels is

$Total =1.50+0.50+0.05+0.05x$

$Total =2.05+0.05x$

It is given that the pot worth is $2.35.

$2.05+0.05x=2.35$

Subtract 2.05 from both sides.

$0.05x=0.30$

Divide both sides by 0.05.

$x=6$

The number of nickels is 5.

$(Nickel)/(Dimes)=(6)/(5)=6:5$

Therefore, the ratio of nickels to dimes is 6:5.

In a pot worth $2.35 containing 6 quarters, 5 dimes, 5 pennies, and some nickels, the ratio of nickels to dimes is 6:5.

To find the ratio of nickels to dimes, we need to determine the number of nickels and dimes in the pot. We know that there are 6 quarters, 5 dimes, and 5 pennies in the pot, which is a total of 16 coins. Therefore, the number of nickels should be the difference between the total number of coins and the sum of quarters, dimes, and pennies.

The total value of the coins in the pot is $2.35. Since 6 quarters are worth $1.50, 5 dimes are worth $0.50, and 5 pennies are worth $0.05, the remaining value should come from the nickels.

Thus, the value of the nickels is $2.35 - $1.50 - $0.50 - $0.05 = $0.30. Since each nickel is worth $0.05, the number of nickels is $0.30 ÷ $0.05 = 6.

The ratio of nickels to dimes is therefore 6:5, which means that for every 6 nickels, there are 5 dimes.

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Simplify the expression below.
√169