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ddd [48]
3 years ago
14

The difference between one-third of a number and 11 is 10.

Mathematics
2 answers:
Blababa [14]3 years ago
6 0

Answer:

  1. X/3-11=10
  2. X/3=21
  3. X=63
MariettaO [177]3 years ago
5 0

Answer:

Step-by-step explanation:

The equation is 1/3x - 11 = 10

First add 11 to both sides of the equation to get 1/3x = 21

Then divide both sides by 1/3

X = 63

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Micah divided 47 2/3 by 11 5/6 and got 4 2/71 for an answer. Does his answer seem reasonable? Explain your thinking. Then check
NemiM [27]
Yes this answer is reasonable since 47 divided by 11 is close to 4. The answer is 4 2/71
3 0
4 years ago
A new pizza restaurant uses paid advertisement to increase pizza sales on Mondays. The table below is a record of the restaurant
Fiesta28 [93]

Answer:

Part A:

Find the attached

Part B:

y = 23.875x + 279.625

Part C:

Total Sales increase from one week to the next by $23.875. Therefore, it is true to say that the paid advertisement is responsible for the restaurant's increase in pizza sales during the first quarter.

Part D:

The restaurant's sales for the Monday of the 20th week is expected to be $757.13

Step-by-step explanation:

Part A:

The scatter-plot can be obtained from stat-crunch by following the given steps below;

The first step is to enter the data given into any two adjacent columns of Stat-crunch application.

Next, click on Graph then Scatter plot

In the pop-up window that appears, select the week column as the X variable and the Total Sales column as the Y variable

Click Compute. Stat-crunch returns the scatter-plot as shown in the attachment below.

Part B:

The total sales for week 5 is given as 399 while that of week 13 is 590. Therefore, we shall determine the equation for the line of best fit using the points;

( 5, 399) and ( 13, 590)

The first step would be to determine the slope of this line;

slope = (590 - 399)/ (13 - 5)

         = 23.875

The equation of the line in slope-intercept form is thus;

Sales = 23.875(Week) + c

We need to determine c, the y-intercept. We can use the point ( 5, 399);

399 = 23.875(5) + c

c = 279.625

The equation of the line of best fit is thus;

y = 23.875x + 279.625

Part C:

The slope of the equation for the lines of best fit was found to be 23.875. This value is positive which implies that the Total Sales increase from one week to the next by $23.875. The slope in regression is defined as the change in y for every unit change in x.

Therefore, it is true to say that the paid advertisement is responsible for the restaurant's increase in pizza sales during the first quarter.

Part D:

The equation  for the line of best fit was found to be;

y = 23.875x + 279.625

where y denotes the total sales and x the corresponding week. We are required to determine y when x is 20;

Y = 23.875(20) + 279.625

y = 757.125

Therefore, the restaurant's sales for the Monday of the 20th week is expected to be $757.13

6 0
3 years ago
Stan lawn mower had 1/8 of a gallon of gasoline in the tank. Stan started mowing and used all of the gasoline. He put 6/10 of a
tigry1 [53]

Answer: Stan used \frac{1}{24}\ gallon of gasoline.


Step-by-step explanation:

Given: The amount of gasoline in the tank of Stan lawn mower=\frac{1}{8}\ of\ gallon

Then he put the amount of gasoline in the tank=\frac{1}{6}\ of\ gallon

The total  amount of gasoline filled in the tank =\frac{1}{8}+\frac{1}{6}\ gallons

⇒ The total amount of gasoline filled in the tank =\frac{3+4}{24}=\frac{7}{24}\ gallons

The amount of gasoline left in the tank after mowing=\frac{1}{4}\ of\ gallon

Now, the total gasoline used by Stan=\frac{7}{24}-\frac{1}{4}=\frac{7-6}{24}=\frac{1}{24}\ gallon


5 0
3 years ago
Find the length of AB
AleksandrR [38]

Answer:

6.4

Step-by-step explanation:

A(3, 9)

B(8, 5)

\sqrt{(3-8)^{2} +(9-5)^{2} }

8 0
3 years ago
Which answer describes the calculations that could be used to solve this problem?
faltersainse [42]
D. Since we know that 1 ticket = $8 we would multiply to figure out how much 7 tickets were. (7x$8). And to figure out his change you would subtract the ticket amount from $100 :) Hope this helps
4 0
3 years ago
Read 2 more answers
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