Mrs. Potts can make 5 dozen ravioli in 1 hour. Write and solve a direct variation equation to find many she can make in 2 1/2 hours.

Answers

Answer 1
Answer: A direct variation generally has the equation Y=KX 
Because Mrs. Potts makes 5 dozen ravioli in 1 hour, this will be the K value.
(5 dozen/1 hr)
To figure out how many she can make in 2 1/2 hrs. You use 5 dozen/1 hr as the K value and multiply that by 2 1/2 hrs (the X value).
The hrs will cancel out and you will be left with the number of ravioli made in 2 1/2 hrs.

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Ginny has 16 chocolate bars. She gives away ¾ of her chocolate bars to friends. How many chocolate bars did Ginny give away? ​Record your answer as an improper fraction (fraction greater than one) or a whole/mixed number.

Answers

Answer:

She gave away 12, so she still has 4.

Step-by-step explanation:

16 times .75 equals 12.

Answer: Ginny gave away 12 chocolate bars

Step-by-step explanation: if 16 is 4/4, and 16/4=4, then you multiply 4x3 to figure out that 3/4=12/16

The relationship between men's whole-number shoe sizes and foot lengths is an arithmetic sequence, where a, is the footlength in inches that corresponds to a shoe size of n. A men's size 9 fits a foot 10.31 inches long, and a men's size 13 fits a
foot 11.71 inches long. What is the explicit formula for the arithmetic sequence? Round to the nearest hundredth, if necessary.
0 6, 7,514 0 35(n-1)
O a. - 9-0 35(n-1)
O a-9-286(n-1)
O a, - 10 31-2 86(n-1)

Answers

Answer:

a =7.51+ 0.35(n - 1)

Step-by-step explanation:

The arithmetic sequence has the form:

a =a_1 + d(n - 1)

When a=10.31, n=9, we substitute to get:

a_1 + 8d = 10.31....eqn1

Similarly, when n=13 and a=11.71, we get:

a_1 + 12d= 11.71....eqn2

Subtract equation 1 from equation 2 to get:

4d = 1.4

This implies that

d = 0.35

Substitute into the second equation to get:

a_1 +12(0.35) = 11.71

Solve to get

a_1 = 7.51

Hence the explicit formula is:

a =7.51+ 0.35(n - 1)

Answer:

A

Step-by-step explanation:

I got it right on edge

A population of 1000 bacteria is treated with medicine and begin to die 5% each hour. how can the bacteria population be determined after a number of hours,h?

Answers

It would take five hours for all the bacteria to die. 1000 divided by 5 is 200 so 200×5 = 1000

Which picture illustrates the prophase stage of mitosis? A.
A


B.
B


C.
C


D.
D

Answers

Prophase is when the nuclear envelope is starting to break down and the chromatin is condensing. The picture that illustrates this is D.

For reference...
Picture A - Anaphase
Picture B - Telophase
Picture C - Metaphase
Picture D - Prophase

Members of the fire department lean a 30-foot ladder against a building. The side of the building is perpendicular to the level ground so that the base of the ladder is 10 feet away from the base of the building. To the nearest foot, how far up the building does the ladder reach?Can you please explain with some details?

Answers

To get this you just have to square 30 then square 10 then subtract the answer you get the find the square root of what you get so 900-100=800 the square root of 800 is 28.3.

What is 11+3x+x=2x-11​

Answers

Answer:

X= -11

Step-by-step explanation:

11+3x+x=2x-11              Original

11+4x = 2x-11                Combine Like Terms

22 + 4x =2x                 Add 11 to both sides

22=-2x                         Subtract 4x from both sides

x=-11                             Divide both sides by -2

11+3x+x=2x-11
11+4x=2x-11
-2x -2x
11+2x=-11
-11 -11
2x=-22
X=-11