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Arturiano [62]
3 years ago
15

Which explanation correctly solves this problem? A golf club has 85 golfers in a golf tournament. The golfers will ride in golf

carts. Each cart holds 4 golfers. How many golf carts will the club need for all the golfers? 85 ÷ 4 = 21 with 1 left over. They will need 22 golf carts. 85 ÷ 4 = 21 with 1 left over. They will need 21 golf carts. 85 ÷ 4 = 21 with 1 left over. They will need 21142114 golf carts.
Mathematics
1 answer:
Aleksandr [31]3 years ago
5 0

The answer is A. 85/4=21 with 1 left over. They will need 22 golf carts.

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Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation? Solve x2 = 12x – 15 by completing the s
Svetlanka [38]

Answer: 6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}

Step-by-step explanation:

Given

Quadratic equation is

x^2-12x+15=0

Solving by completing the square method

\Rightarrow x^2-2\cdot 6\cdot x+15=0\\\text{add and subtract 36}\\\Rightarrow x^2-2\cdot 6\cdot x+15+36-36=0\\\Rightarrow x^2-2\cdot 6\cdot x+36+(-36+15)=0\\\text{using}\ (a-b)^2=a^2+b^2-2ab\\\Rightarrow (x-6)^2-21=0\\\Rightarrow (x-6)^2=21\\\Rightarrow x-6=\pm \sqrt{21}\\\Rightarrow x=6\pm \sqrt{21}

The solution set of the equation is 6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}

6 0
2 years ago
Read 2 more answers
How many liters of a 10% antifreeze solution and a 40% antifreeze solution must be mixed to make 15 liters of a 25% solution? Ro
butalik [34]

Answer:

7.5 liters of a 10% antifreeze solution AND

7.5 liters of a 40% antifreeze solution

Step-by-step explanation:

According to the question,we were asked to find out how many liters of 10% anti freeze solution and 40% anti freeze each to make a 15 liters 25% mixture

Let’s call

the amount of liters needed of our 10% solution “x”. So, how

many liters do we need of the 40% solution? Well, there are 15

liters in total, x liters have been spoken for, so what remains

of our allotted 10 liters then, is 15-x.

Now let's solve for "x"

10% of x + 40% of (15 - x) = 25% of 15 liters

0.1x + 0.4(15 - x) = 0.25(15)

0.1x + 6 - 0.4x = 3.75

Collect the like terms and we have

0.3x = 2.25

x = 2.25 × 3

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Since "X" was used to fill for the unknown amount of 10% anti freeze solution,we have 7.5 liters of the 10% solution and another 7.5 liters for the 40% solution to end up with 15 liters of the desired 25% solution.

8 0
3 years ago
The principal P is borrowed at a simple interest rate are for a period of time T. Find the loans future value A, or the total am
Xelga [282]

Answer:

The total amount due after five years is $57,000.

Step-by-step explanation:

Recall that simple interest is given by the formula:

\displaystyle A=P(1+rt)

Where <em>A</em> is the final amount, <em>P</em> is the principal amount, <em>r</em> is the rate, and <em>t</em> is the time (in years).

Since we are investing a principal amount of $38,000 at a rate of 10.0% for five years, <em>P</em> = 38000, <em>r</em> = 0.1, and <em>t</em> = 5. Substitute:

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The total amount due after five years is $57,000.

4 0
2 years ago
William bought some tickets to see his favorite singer. He bought some adult tickets and some children tickets, for a total of 1
Viefleur [7K]
Hello!

Let 'a' stand for adult tickets and 'c' for children tickets.

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(Both adult and children tickets make up a total of 15 tickets).

30a + 20c = 330

a = 3

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A N S W E R:

William bought 3 adults tickets and 12 children's tickets.

5 0
3 years ago
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Alexandra [31]

Answer:$8

Step-by-step explanation:

6 0
3 years ago
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