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denis23 [38]
3 years ago
9

For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coo

rdinating response. Be sure to clearly label
each part of your response as Part A, Part B, and Part C.

Part A: Identify a fraction equivalent to 15/65 show all work.

65

Part B: Identify a fraction different than the fraction given in Part A that is also equivalent to

15/65

Show all work.

Part C: Are the fractions from Part A and Part B equivalent to each other? Explain.
Mathematics
1 answer:
blagie [28]3 years ago
5 0

Answer:

A. Fraction = \frac{3}{13}

B. Fraction = \frac{30}{130}

C. Yes

Step-by-step explanation:

Given

Fraction = \frac{15}{65}

Solving (a): Get an equivalent fraction

Fraction = \frac{15}{65}

Divide the numerator and denominator by 5

Fraction = \frac{15/5}{65/5}

Fraction = \frac{3}{13}

<em>This is equivalent to the given fraction</em>

<em></em>

Solving (b): Another Equivalent Fraction

Fraction = \frac{15}{65}

Multiply the numerator and denominator by 2

Fraction = \frac{15 * 2}{65 * 2}

Fraction = \frac{30}{130}

<em>This is also equivalent to the given fraction</em>

Solving (c): Is A equivalent to B

Yes, they are

Because the fraction in (A) and (B) are equivalent to \frac{15}{65}

Then, the fractions in A and B are equivalent

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2. Let f(x) = 3x² -x+5, find f(x+1)​
Anna11 [10]

Answer:

f(x + 1) = 3x² + 5x + 7

Step-by-step explanation:

To find f(x + 1), substitute x = x + 1 into f(x), that is

f(x + 1) = 3(x + 1)² - (x + 1) + 5 ← expand (x + 1)² using FOIL

           = 3(x² + 2x + 1) - x - 1 + 5 ← distribute parenthesis by 3

           = 3x² + 6x + 3 - x - 1 + 5 ← collect like terms

           = 3x² + 5x + 7

8 0
3 years ago
Find the area of the circle... Round to the nearest tenth and include units in your answer
Fantom [35]

Answer:

452.4 cm

Step-by-step explanation:

the formula for the area of a circle is A = pi r^2

4 0
3 years ago
z varies jointly with x and y. When x = 2 and y = 3, z = 60. What is the value of z when x = 4 and y = 9?
kondor19780726 [428]
2 x 3 = 6 x 10 = 60
<em>Assuming that you are using the same rule:
</em><em>4 x 9 x 10 = 360
</em>The value of z when x = 4 and y = 9 is 360. Hope this helped!
6 0
3 years ago
Read 2 more answers
Two positive improper fractions are multiplied. Is the product sometimes, always or never less than 1. explain
melisa1 [442]
<span>Given situation : 2 improper fraction is multiplied. Now is the product always more than than 1?
Yes, the product is always more than 1. Because take note that in improper fraction, the numerator is always higher compare to the denominator of the given fraction. That means when you divide the numerator from the denominator, the answer would always be more than 1.
Example:
=> 5 / 4  x 4 / 2
=> 20 / 8 or equals to 5/2
now divide
=> 5 / 2
=> 2 1/2

</span>



6 0
3 years ago
Alice and Bill are planning to have three children. (Assume that it is equally likely for a boy or a girl to be born.) What is t
zhuklara [117]

Answer:

\frac{1}{8}

Step-by-step explanation:

Alice and Bill  are planning to have three children

We have to find the probability that all three of their children will be girl.

Sample space =S={BBB,BBG,BGB,GBB,GGG,GBG,GGB,BGG}

Total =8

Number of cases in which all three children are girls={GGG}

Probability,P(E)=\frac{number\;of\;favorable\;cases}{Total\;number\;of cases}

Using the formula

Then , the probability that all three of their children will be girls=\frac{1}{8}

6 0
3 years ago
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