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ziro4ka [17]
3 years ago
10

In a sample of students, 12 out of 24 students in a class wanted a sandwich for lunch. Using the data from the sample, predict h

ow many students would want sandwiches for lunch in a school of 400.
Mathematics
1 answer:
Lena [83]3 years ago
4 0
12 out of 24 is 1/2
1/2 of 400 is 200, so the answer is 200 students.
You might be interested in
Find the value of x. Then find the measure of the red arc.
Elza [17]

Answer:

x = 70 degrees, red arc= 110 degrees

Step-by-step explanation:

x and 2x-30 added together is 180 degrees.

We can make an equation to find x,

x + (2x - 30) = 180

3x - 30 = 180

Add 30 to both sides to isolate x

3x = 210

By dividing both sides by 3, we get x = 70

Now we know the red arc is 2x - 30. We can plug x in because we know the value now.

2(70) - 30

140 - 30

Red Arc = 110 degrees

8 0
3 years ago
Needs to be in fraction form and simplified <br><br> 3 4/5 + 4 5/6 =? <br><br> 10 points
LenaWriter [7]

Answer:

259/30 or 8 19/30 depending on what format your teacher wants the answer

Step-by-step explanation:

First we can turn both mixed fractions into improper fractions and to do that we multiply the whole number by the denominator and that add that to the top number.  So for 3 4/5 we would multiply 3 and 5 and than add 4 getting us to 19/5 doing the same to 4 5/6 gets us to 29/6.  Now in order to add fractions we need to get a common denominator.  The least common multiple of 5 and 6 is 30 so we will multiply each fraction by whatever number will give us 30 in the denomiator.  for 19/5 that number is 6 so our new fraction is 114/30 and for 29/6 that number is 5 so our new number is 145/30.  Now we just add the numerators and simplify.  114/30+145/30=259/30

I hope this helps and please don't hesitate to ask if there is anything still unclear!

6 0
2 years ago
If the 6th term of an arithmetic progres- sion is 11 and the first term is 1, find the common difference.​
Darina [25.2K]

Answer:

2

Step-by-step explanation:

An arithmetic progression with first term a and common difference d has the following first 6 terms:

a, a + d, a + 2d, a + 3d, a + 4d, a + 5d

We are given a = 1 and a + 5d = 11.

1 + 5d = 11

5d = 10

d = 2

Answer: The common difference is 2.

3 0
1 year ago
The Cobb family of Fremont is looking at ways to decrease their home water and energy usage. Their current electric hot-water he
OverLord2011 [107]

Answer:

  ai) 73000 gal/yr

  aii) $730 per year

  b) 1000 days

Step-by-step explanation:

ai) The water usage per day is ...

  (4 showers/day)(10 min/shower)(5 gal/min) = 200 gal/day

Then the usage per year is ...

 (200 gal/day)(365 days/yr) = 73,000 gal/yr

__

aii) The cost of electricity is the cost of heating half the water usage, so is ...

  (0.20 kWh/gal)(1/2)(73,000 gal/yr)($0.10/kWh) = $730/yr

__

b) The current daily cost of electricity for heating water is ...

  ($730/yr)/(365 days/yr) = $2/day

If the cost is cut in half, it will be $1 per day. That means the savings is $1 per day, so it will take 1000 days to recover the $1000 initial cost. (Effectively, the average cost for the first 1000 days is the same as if the water heater had not been replaced.)

5 0
3 years ago
What point in the feasible region maximizes the objective function, 3x + y ≤ 12, x+y ≤5, x ≥0,y ≥0
forsale [732]

Step-by-step explanation:

We have to find the point in the feasible region which maximizes the objective function. To find that point first we need to graph the given inequalities to find the feasible region.

Steps to graph 3x + y ≤ 12:

First we graph 3x + y = 12 then shade the graph for ≤.

plug any value of x say x=0 and x=2 into 3x + y = 12 to find points.

plug x=0

3x + y = 12

3(0) + y = 12

0 + y = 12

y = 12

Hence first point is (0,12)

Similarly plugging x=2 will give y=6

Hence second point is (2,6)

Now graph both points and joint them by a straight line.

test for shading.

plug any test point which is not on the graph of line like (0,0) into original inequality 3x + y ≤ 12:

3(0) + (0) ≤ 12

0 + 0 ≤ 12

0 ≤ 12

Which is true so shading will be in the direction of test point (0,0)


We can repeat same procedure to graph other inequalities.

From graph we see that ABCD is feasible region whose corner points will result into maximum or  minimu for objective function.

Since objective function is not given in the question so i will explain the process.

To find the maximum value of objective function we plug each corner point of feasible region into objective function. Whichever point gives maximum value will be the answer

7 0
3 years ago
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