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julia-pushkina [17]
1 year ago
8

Joyce uses 310 bag of chocolate chips for each batch of cookies she makes. What is the least number of batches Joyce can make if

she has to open a second bag of chocolate chips? Enter your answer in the box.
Mathematics
2 answers:
lyudmila [28]1 year ago
7 0

Complete question :

Joyce uses 3/10 bag of chocolate chips for each batch of cookies she makes. What is the least number of batches Joyce can make if she has to open a second bag of chocolate chips? Enter your answer in the box.

Answer:

4 batches

Step-by-step explanation:

Fraction of a bag of chocolate used per batch = 3/10 of a bag

Least number of batches that must be made if a second bag must be open :

Number of batches that can be made from the first bag :

1 bag / (3/10 of a bag)

1 / (3/10 * 1)

1 / (3/10)

1 ÷ (3/10)

1 * 10/3 = 10/3

= 3.333 batches

If another bag will be open, the it will be used to complete the incomplete batch. Hence, the least number of batches that can be made will be 4

tigry1 [53]1 year ago
7 0

Answer:

4 batches

Step-by-step explanation:

Number of batches that can be made from first bag:

1 bag / (3/10 of a bag)

1 / (3/10 * 1)

1 / (3/10)

1 ÷ (3/10)

1 * 10/3 = 10/3

= 3.333 batches

Adds up to 4 batches

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The following histogram represents the distribution of acceptance rates (percent accepted) among 25 business schools in 2004. In
Mila [183]

Answer:

  • <u><em>Option b. just below 30%</em></u>

<u><em></em></u>

Explanation:

Please, see attached the <em>histogram that represents the distribution of acceptance rates (percent accepted) among 25 business schools in 2004. </em>

<em />

The<em> median</em> is the value that separates the lower 50% from the upper 50% of the data.

Since there are 25 business schools, the middle value is the number 13.

The height of each bar is the<em> frequency</em> or number of business school for that acceptace rate:

  • The first bar has frequency of 1 school
  • The second bar has frequency of 3 schools: cummulative frequency: 1+3=4.
  • The third bar has frequency 5 schools: cummulative frequency 4 + 5 = 9.
  • The fourth bar has frequency 3 schools: cummulative frequency: 9+3=12.

Then, the 13th value is on the next bar, the fifth bar.

The fifth bar has acceptance rates 25  ≤ rate < 30.

That means that the median acceptance rate is greater than or equal to 25 and less than 30.

Thus, the choice is the option <em>b. just below 30%.</em>

3 0
1 year ago
Mary was told that a line goes through the points (1, 3) and (6, -2) and has a slope of 3.
ki77a [65]

Answer:

a. The slope is incorrect

b. y = 3x, ( 0 , 0 )

c) y = 4 - x

Step-by-step explanation:

Given:-

The slope between two points (1, 3) and (6, -2) is 3.

a. Explain why the information Mary was given cannot be correct.

- The slope between two arbitrary points, ( x1 , y1 ) and  (x2 , y2) is given by the following relationship:

                         slope = ( y2 - y1 ) / ( x2 - x1)

- Use the given points (1, 3) and (6, -2) and determine the slope:

                        slope = ( -2 - 3 ) / ( 6 - 1 )

                        slope = ( -5 ) / ( 5 )

                        slope = -1

- Yes, the given slope is incorrect it should be = -1

b.If the given point (1, 3) and the given slope are correct, what is the equation for the line? Give the  coordinates of another point on the line

- We will assume the point (1,3) lies on line with a slope = 3.

- We will use the slope-intercept equation of line:

                              y = slope*x + c

Where,      m : Slope

                 c : y-intercept

                             y = 3x + c

Using the given correct point to evaluate the y-intercept (c):

                             3 = 3*1 + c

                             c = 0

- The equation of line is,

                            y = 3x

- The origin (0,0) lies on the line y = 3x.

c. If the given points are correct for the line, what is the slope? Write an equation for the line

- We will assume the points (1, 3) and (6, -2) lies on line with a slope calculated in part (a) to be = -1.

- We will use the slope-intercept equation of line:

                              y = slope*x + c

Where,      m : Slope

                 c : y-intercept

                             y = -x + c

Using the given points to evaluate the y-intercept (c):

                             3 = -1 + c

                             c = 4

- The equation of line is,

                            y = -x + 4

4 0
2 years ago
4C. Quintin is using the three different shaped
Sauron [17]

The smallest number of tiles Quintin will need in order to tile  his floor is 20

The given parameters;

  • number of different shapes of tiles available = 3
  • number of each shape = 5
  • area of each square shape tiles, A = 2000 cm²
  • length of the floor, L = 10 m = 1000 cm
  • width of the floor, W = 6 m = 600 cm

To find:

  • the smallest number of tiles Quintin will need in order to tile his floor

Among the three different shapes available, total area of one is calculated as;

A_{one \ square \ type} = 5 \times 2000 \ cm^2 = 10,000 \ cm^2

Area of the floor is calculated as;

A_{floor} = 1000 \ cm \times 600 \ cm = 600,000 \ cm^2

The maximum number tiles needed (this will be possible if only one shape type is used)

maximum \ number= \frac{Area \ of \ floor}{total \ area \ of \ one \ shape \ type} \\\\maximum \ number= \frac{600,000 \ cm^2}{10,000 \ cm^2} \\\\maximum \ number=  60

When all the three different shape types are used we can get the smallest number of tiles needed.

The minimum or smallest number of tiles needed (this will be possible if all the 3 different shapes are used)

3 \times \ smallest \ number  = 60\\\\smallest \ number = \frac{60}{3} \\\\smallest \ number = 20

Thus, the smallest number of tiles Quintin will need in order to tile  his floor is 20

Learn more here: brainly.com/question/13877427

3 0
2 years ago
Determine the value of (tangent of 88 degrees, 22 minutes, and 45 seconds). In this case, minutes are 1/60 of a degree and secon
mariarad [96]

Answer:

  c.  35.34015106

Step-by-step explanation:

As with many problems of this nature, you only need to get close to be able to choose the correct answer. 22 minutes 45 seconds is just slightly less than 1/2 degree (30 minutes), so the tangent value will be just slightly less than tan(88.5°) ≈ 38. The appropriate choice is 35.34015106.

If you need confirmation, you can find tan(88°) ≈ 29, so you know the answer will be between 29 and 38.

__

The above has to do with strategies for choosing answers on multiple-choice problems. Below, we will work the problem.

The angle is (in degrees) ...

  88 + 22/60 +45/3600 = 88 + (22·60 +45)/3600 = 88 +1365/3600

  ≈ 88.3791666... (repeating) . . . . degrees

A calculator tells you the tangent of that is ...

  tan(88.3791666...°) ≈ 35.3401510614

Many calculators will round that to 10 digits, as in the answer above. Others can give a value correct to 32 digits. Spreadsheet values will often be correct to 15 or 16 digits.

4 0
2 years ago
The tables show the relationships between x and y for two data sets. Data Set Data Set I X 5.5 1 Z 11.0 2 10 5 165 3 15 220 2D 5
notka56 [123]

Answer:

C I beleive the answer is C Both data sets show multiplicative relationships.

In Data Set I, y is 5.5 times x, and in Data Set II, y is 5 times x.

Step-by-step explanation:

I beleive the answer it C thank you bye bye have a nice day hope this helped

5 0
1 year ago
Read 2 more answers
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