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Nataliya [291]
2 years ago
9

Mr.Kim has 550 take-out boxes at his restaurant. He estimates that he will use 80 boes per week. Mr. Kim wants to re-order more

boxes when he has fewer than 100 left. After how many weeks should mr.Kim re-order more take-out boxs? Wwrite and solve an ineaquality
Mathematics
1 answer:
enot [183]2 years ago
4 0

Mr. kim will re – order boxes after 6 weeks.  

<u>Solution:</u>

Given, Mr. Kim has 550 take-out boxes at his restaurant.  

He estimates that he will use 80 boxes per week. Mr. Kim wants to re-order more boxes when he has fewer than 100 left.  

We have to find after how many weeks should mr. Kim re-order more take-out boxes?  

Now, we know that, Mr. kim will re – order boxes when number of boxes < 100

\begin{array}{l}{\rightarrow 550 \text { - number boxes use }

As number of weeks can’t be considered as fractions in our problem, take nearest integer greater than 5.625

Then, n can be 6.

Hence, mr. kim will re – order boxes after 6 weeks.

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Savannah is working two summer jobs, making $12 per hour babysitting and $7 per hour washing cars. Savannah must earn a minimum
postnew [5]

Answer:

The inequality that represents the given situation is 12b + 7w ≥ 55

Step-by-step explanation:

Let us solve the question

∵ Savannah is working two summer jobs

∵ She is making $12 per hour babysitting

∵ The number of hours babysitting is b

→ Multiply 12 by b to find the amount earning from babysitting

∴ She is making 12b dollars from working as a babysitting

∵ She is making $7 per hour washing cars

∵ The number of hours washing cars is w

→ Multiply 7 by w to find the amount earning from washing cars

∴ She is making 7w dollars from working in washing cars

∵ Savannah must earn a minimum of $55 this week

→ minimum means ≥,

∴ The total earning ≥ 55

∵ The total earning is 12b + 7w

→ Use the two expressions of the total earning to write the inequality

∴ 12b + 7w ≥ 55

∴ The inequality that represents the given situation is 12b + 7w ≥ 55

7 0
2 years ago
A sociologist studying the difference in ages between husbands and wives obtained a random sample of 55 married couples. The mea
zalisa [80]

Answer:

2.1/√55

Step-by-step explanation:

simga divided by sample size

8 0
2 years ago
Triangle ABC has vertices of A(–6, 7), B(4, –1), and C(–2, –9). Find the length of the median from angle B in triangle ABC
julsineya [31]

Answer:

  8

Step-by-step explanation:

The median is the segment from vertex B to the midpoint of AC. That midpoint (D) is ...

  D = (A + C)/2 = ((-6, 7) +(-2, -9))/2 = (-8, -2)/2

  D = (-4, -1)

The length of the midpoint is the length of the segment DB between (-4, -1) and (4, -1). These points both have the same y-coordinate, so the length is the difference of x-coordinates: 4 -(-4) = 8.

7 0
2 years ago
charmaine and tesha each have a number of cards, in the ratio 2:3. tesha and holly have a number of cards in the ratio 2:1. if t
Sav [38]
C:t=2:3
t:h=2:1

multiply first equation by 2 and 2nd by 3
c:t=4:6
t:h=6:3
so
c:t:h=4:6:3

if t is 4 more than c
t is 6 units and c is 4
6-4=2
so 4=2 units
2=1 unit

hollly is 3 units
3*2=6
holly has 6 cards
3 0
1 year ago
6 questions = 30 points someone please help me
eduard

Answer:

1)D

2)D

3)A

4)B

5)Cannot Answer - No data

6)C

7)C

6 Questions answered for 30 points.

Step-by-step explanation:

Answer for the 1st Question,

Area of a cylinder can be calculated by,

Area of the cylindrical part = 2\pi rL

Area of the parts that cover the open parts of cylinder = 2\pi r^2

Therefor Total are of the cylinder = 2\pi rL+2\pi r^2

Area of the total cylinder = 2*3.14*6.8*14.2+2*3.14*6.8^2

                                          =896.784

<u>Therefor best estimate will be D) 923 in^2</u>


Answer for the 2nd Question,

ABC is a triangle.

By Pythagorean theorem it says,

(AC)^2+(CB)^2=(AB)^2

The distance from A to C = 6

The distance from C to B = 5

(AC)^2=6^2=36

(CB)^2=5^2=25

(AC)^2+(CB)^2=(AB)^2=36+25=61

Therefor (AB)^2=61\\(AB)=\sqrt{61}

<u>Therefor Answer is D) Sqr 61</u>

Answer to Question 3

To find the trend you can draw an imaginary line that fits the scatter plots.(I have attached a image drawing the imaginary lines)

Then the revenue can be calculated by calculating the area covered by the imaginary line drawn or area "under" the curve.

Area of the Store 1 =\frac{1}{2} *(110+40)*110=8250

Area of the Store 2=\frac{1}{2} *110*80=4400

Therefore Revenue from Store 1 = $8250

                 Revenue from Store 2 = $4400

<u>Answer is A) Store 1  has more sales revenue</u>

Answer for Question 4

\frac{5}{12}=0.4167\\\frac{5}{11}=0.4545

You can straight away discard answer D because it is less than both 5/12 and 5/11.

Also you can discard Answer C because 25/264 is very small (less than 1/10=0.1)

\frac{11}{23} =0.4782, therefor this is not in between those two numbers.

Then it has to be \frac{115}{264} =0.4356

<u>Answer is B)</u>


Answer for question 6

The equation of a straight line is of the form y=mx+c

here m is the gradient and c is the intercept.

Find the intercept(c) by finding the y value when x value is 0, here it is +1.

Gradient (m) of the graph can be found by,

\frac{y1-y2}{x1-x2} =\frac{7-3}{3-1} =2

Therefor the equation of the graph is,

y=2x+1

<u>Answer is C</u>

Answer for question 7

\frac{7}{8} =0.875

\frac{6}{9} =0.67

We can discard answer A because the value is close to 0.5

We can discard answer B because 3/17 is a very small value (0.17)

\frac{53}{72} =0.73, This falls between the above 2 numbers.

<u>Therefor answer is C</u>


5 0
2 years ago
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