Multiply the fraction by the whole number. Find the answer as a proper fraction or mixed number in simplest terms. 3 x 4/5: options
2 3/5
1 2/5
2 1/5
*2 2/5

Answers

Answer 1

Answer:

Answer:

2 $(2)/(5)$

Step-by-step explanation:

Whole numbers can be seen as the number over 1. So, 3 can also be written as $(3)/(1)$ . To do $(3)/(1)$ x $(4)/(5)$ you just multiply across (3x4 and 1x5). Doing so gets you $(12)/(5)$ . Since 12 is bigger than 5, you need to find out how many times 5 fits into 12, which is 2 times. This means 2 is the whole number, however you're still left with 2 from the fraction $(12)/(5)$ , since 2x5 is just 10. You write the remaining 2 as $(2)/(5)$ , because that's what the original denominator was. The final answer is 2 $(2)/(5)$ .

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A point is on a circle of the distance form the center from the center of the circle to the the point is equal to the

Answers

Answer:

The Radius?

.......... ....

Answer:

C. Radius

Step-by-step explanation:

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Determine if ΔABC and ΔFHG are similar. If so, write the similarity statement.options:

A) The triangles are not similar

B) ΔABC ∼ ΔHFG

C) Impossible to determine.

D) ΔABC ∼ ΔFHG

Answers

Answer:

$\Large \boxed{\mathrm{D) \ \triangle ABC \sim \triangle FHG }}$

Step-by-step explanation:

The two triangles are similar.

The corresponding sides are proportional.

AB ∼ FH

$\displaystyle (72)/(12) =6$

AC ∼ FG

$\displaystyle (48)/(8) =6$

BC ∼ GH

$\displaystyle (84)/(14) =6$

6:1 they are similar

Which way is counterclockwise?A. The way the hands move on a clock. (To the right)
B. The opposite way the hands move on a clock. (To the left)

Answers

Answer:

B. the opposite way the hands move on a clock

Use the technique developed in this section to solve the minimization problem. Minimize C = −3x − 2y − z subject to −x + 2y − z ≤ 20 x − 2y + 2z ≤ 25 2x + 4y − 3z ≤ 30 x ≥ 0, y ≥ 0, z ≥ 0 The minimum is C = at (x, y, z) = .

Answers

Answer:

C= -145, (35/4, 295/8, 45)

Step-by-step explanation:

Use Gaussian elimination to find the values of x, y and z

Eq 1: -x+2y-z=20

Eq 2: x-2y+2z=25

Eq 3: 2x+4y-3z=30

Multily Eq1 by 1 and add to Eq 2

Eq 1: (-x+2y-z=20 ) × 1

Eq 2: x-2y+2z=25

Eq 3: 2x+4y-3z=30

⇒ Eq1: -x+2y-z=20

Eq2: z= 45

Eq 3: 2x+4y-3z=30

Multiply Eq 1 by 2 and then add to Eq 3

Eq1: (-x+2y-z=20 ) × 2

Eq2: z= 45

Eq3: 2x+4y-3z=30

⇒ Eq1: -x+2y-z=20

Eq2: z= 45

Eq3: 8y-5z= 70

swap Eq 2 and Eq 3

Eq 1: -x+2y-z=20

Eq 3: 8y-5z= 70

Eq 2: z= 45

Solve Eq 2 for z

Z=45

solve Eq Eq 3 for y.

y= 295/8

Using the value z=45 and y= 295/8, substitue in Eq 1 to get value of x

x= 35/4

Substitue values of x,y and z in C= -3x-2y-z to get minimum value of C

C= -145

Which of the following is an example of inductive reasoning? A. The first eight marbles that Dexter has drawn from a bag containing red and blue marbles have been red. Dexter concludes that the next marble he draws will be red. B. Jacob knows that in order to get a half-hour lunch break, his work shift must be at least six hours. Jacob concludes that since he is scheduled to get a half-hour lunch break, then his work shift must be at least six hours. C. Alicia knows that in order for someone to be in band, they have to know how to play an instrument. Mindy is in band. Alicia concludes that Mindy must know how to play an instrument. D. Stewart uses the basketball rule book to determine that one point is awarded for each free throw that a player makes.

Answers

The answer should be option A "The first eight marbles that Dexter has drawn from a bag containing red and blue marbles have been red. Dexter concludes that the next marble he draws will be red." Inductive reasoning is a conclusion on some data and in this case it would be option A because it's a conclusion that the first eight marbles that Dexter has drawn from a bag containing red and blue marbles have been red. Dexter concludes that the next marble he draws will be red which is a conclusion.

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