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Alexeev081 [22]
3 years ago
12

In the science lab, Will is testing the freezing point of a substance, which should be −24 ∘C. He is changing the temperature at

a rate of −3 ∘C per minute, starting at 0 ∘C.Write an inequality for the time t before the temperature reaches the freezing point.
Mathematics
1 answer:
mars1129 [50]3 years ago
4 0

Answer:

The answer is -3t>-24 which equals t<8

Step-by-step explanation:

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In a class of 30 students (x+10) study algebra, (10x+3) study statistics, 4 study both algebra and statistics. 2x study only alg
Vladimir [108]

Answer:

1. The Venn diagrams are attached

2. When the statistics students number = 10·x + 3, we have;

The number of students that study

a. Algebra = 128/11

b. Statistic = 213/11

When the statistics students number = 2·x + 3, we have;

The number of students that study

a. Algebra = 16

b. Statistic = 15

Step-by-step explanation:

The parameters given are;

Total number of students = 30

Number of students that study algebra n(A) = x + 10

Number of students that study statistics n(B) = 10·x + 3

Number of student that study both algebra and statistics n(A∩B) = 4

Number of student that study only algebra n(A\B) = 2·x

Number of students that study neither algebra or statistics n(A∪B)' = 3

Therefore;

The number of students that study either algebra or statistics = n(A∪B)

From set theory we have;

n(A∪B) = n(A) + n(B) - n(A∩B)

n(A∪B) = 30 - 3 = 27

Therefore, we have;

n(A∪B) = x + 10 + 10·x + 3 - 4 = 27

11·x+13 = 27 + 4 = 31

11·x = 18

x = 18/11

The number of students that study

a. Algebra

n(A) = 18/11 + 10 = 128/11

b. Statistic

n(B) = 213/11

Hence, we have;

n(A - B) = n(A) - n(A∩B) = 128/11 - 4 = 84/11

Similarly, we have;

n(B - A) = n(B) - n(A∩B) = 213/11 - 4 = 169/11

However, assuming n(B) = (2·x + 3), we have;

n(A∪B) = n(A) + n(B) - n(A∩B)

n(A∪B) = 30 - 3 = 27

Therefore, we have;

n(A∪B) = x + 10 + 2·x + 3 - 4 = 27

2·x+3 + x + 10= 27 + 4 = 31

3·x = 18

x = 6

Therefore, the number of students that study

a. Algebra

n(A) = 16

b. Statistics

n(B) = 15

Hence, we have;

n(A - B) = n(A) - n(A∩B) = 16 - 4 = 12

Similarly, we have;

n(B - A) = n(B) - n(A∩B) = 15 - 4 = 11

The Venn diagrams can be presented as follows;

6 0
3 years ago
Find 70% of 200 <br> I’m unsure of this pls can I have some help
elena-s [515]

Answer:

140

Step-by-step explanation:

  70%            200

 ----------    *    ----------  =  70*2 = 140

  100%              1

you cross out the 2 zeros from the 100% so it will be one then croos out the 2 zeros from 200 and you will have 70 * 2 and you will get 140

7 0
2 years ago
Read 2 more answers
52 is 130% of what number
Westkost [7]
52 divided by 130 would be 0.4 so if you need it in percent then it would be 4%.

6 0
3 years ago
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Greg and Scott went fishing and caught the same amount of fish. However, 6 of Greg's fish were too small to keep, and 2 of Scott
ANEK [815]

Answer:

I think the answer is 14.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Jenna and Becca were both selling cookies door to door. Jenna sold 8 boxes of cookies for every 3 boxes of cookies Becca sold. C
lozanna [386]

Answer: Jenna sold 280 and Becca sold 105 boxes.

Step-by-step explanation:

Let 3x be the number of cookies Becca sold.

Then, the number of cookies Jenna sold = 8x

Since Combined, they sold a total of 385 boxes of cookies.

So, 3x+8x=385

\Rightarrow\ 11x=385\\\\\Rightarrow\ x=\dfrac{385}{11}\\\\\Rightarrow\ x=35

So, Jenna sold 8(35) = 280 boxes

and Becca sold 3(35)=  105 boxes

Hence, Jenna sold 280 and Becca sold 105 boxes.

6 0
3 years ago
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