Tina Thompson scored 34 points in a recent basketball game without making any 3-point shots. She scored 23 times, making several free throws worth 1 point each and several field goals worth two points each. How many free throws did she make? How many 2-point field goals did she make?

Answers

Answer 1

Answer: 11 field goals
12 free throws

Answer 2

Answer: x = free throws and y = field goals

x + y = 23....x = 23 - y
x + 2y = 34

23 - y + 2y = 34
-y + 2y = 34 - 23
y = 11.....so she made 11 field goals

x + y = 23
x + 11 = 23
x = 23 - 11
x = 12...and she made 12 free throws

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If the statement shown is rewritten as a conditional statement in if-then form, which best describes the conclusion? When a number is divisible by 9, the number is divisible by 3.

Answers

Answer:

when a number is divisible by 9, then the number is divisible by 3.

Step-by-step explanation:

They tell us "When a number is divisible by 9, the number is divisible by 3" we could change it by:

when a number is divisible by 9, then the number is divisible by 3.

Which makes sense because the number 9 is a multiple of the number 3, which means that the 9 can be divided by 3, therefore, if the number can be divided by 9, in the same way it can be divided by 3 .

The statement "When a number is divisible by 9, the number is divisible by 3" can be rewritten in if-then form as: If a number is divisible by 9, then the number is divisible by 3.

In this case, the conclusion is that the number is divisible by 3.

Here is a table that summarizes the if-then form of the statement:

| Hypothesis | Conclusion |

|---|---|---|

| A number is divisible by 9 | The number is divisible by 3 |

In other words, if the hypothesis is true (i.e., the number is divisible by 9), then the conclusion must also be true (i.e., the number is divisible by 3).

Here is an example:

Hypothesis: The number 18 is divisible by 9.

Conclusion: The number 18 is divisible by 3.

Both the hypothesis and the conclusion are true, so the if-then statement is true.

For such more question on divisible

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A company rents water tanks shaped like cylinders. Each tank has a diameter of 6 feet and a height of 2 feet. The cost is $4 per cubic foot. How much does it cost to rent one water tank?

Answers

Answer:

226.08

Step-by-step explanation:

im pretty sure

Consider the sequence below. 3, 1, 1/3, 1/9,...

select the explicit function which defines the sequence.

A.) f(n) = 1/3 • 2^(n - 1)

B.) f(n) = 2 • (1/3)^(n - 1)

C.) f(n) = 1/3 • 3^(n - 1)

D.) f(n) = 3 • (1/3)^(n - 1)

Answers

ANSWER

The explicit formula that defines the sequence is
$f(n) = 3 ( (1)/(3) ) ^(n - 1)$

EXPLANATION

The given sequence is
$3,1, (1)/(3) , (2)/(9) ,...$

The first term of this sequence is
$a = 3$
We can find the common ratio by expressing a subsequent term over a previous term and simplifying it.

The common ratio is
$r = (1)/(3)$

The formula for finding the nth term of the given geometric sequence is given by,

$f(n) = a {r}^(n - 1)$

We now substitute the value of the first term and the common ratio in to the above formula to obtain,

$f(n) = 3( (1)/(3) )^(n - 1)$

The correct answer is option D.

Answer:

Step-by-step explanation:

Rewrite the expression as a product using GCF and distributive property= 27+45= Explain your answer.

Answers

Step-by-step explanation:

The greatest common factor (GCF) of 27 and 45 is 9.

27 + 45

9 (3 + 5)

9 (8)

Final answer:

The expression 27 + 45 is rewritten using the Greatest Common Factor (GCF) and the distributive property as 9*(3 + 5) = 72.

Explanation:

The given expression is 27 + 45. To rewrite this using the Greatest Common Factor (GCF) and the distributive property, we first find the GCF of the two numbers. The GCF of 27 and 45 is 9. We then divide each number by the GCF and rewrite the expression using the distributive property.

So, 27 + 45 = 9*(3 + 5) = 9*8 = 72.

The above step is the application of the distributive property, where a*(b + c) = ab + ac.