Select the correct answer. The sum of two numbers is -18. If the first number is 10, which equation represents this situation, and what is the second number? A. The equation that represents this situation is 10 − x = -18. The second number is 28. B. The equation that represents this situation is 10 + x = -18. The second number is -28. C. The equation that represents this situation is x − 10 = -18. The second number is -8. D. The equation that represents this situation is -10 + x = -18. The second number is -8.

Answers

Answer 1
Answer:

Answer:-28

Step-by-step explanation:

Let A is the second number

the first number is 10.

The total is -18

=> 10 + A =-18 <=> A=-18-10=-28


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Answers

I really don't understand, can you show any more information?

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.f(x) = x3 + 4 and g(x) = Cube root of quantity x minus four.

Answers

f(x) = x³ + 4 and g(x) = ∛(x - 4)

so, the first thing the question asks of you is to see that f(g(x)) = x. try it out, plugging g(x) in as the x-variable in the first equation:

f(g(x)) = (∛(x - 4))³ + 4

they were merciful in writing this problem, and thankfully your cube roots cancel out and don't cause you any trouble. continue solving:

f(g(x)) = (∛(x - 4))³ + 4  ... cube root and exponent cancel
f(g(x)) = x - 4 + 4  ... simplify
f(g(x)) = x

so, yep. that one worked. try out the second half of the question: g(f(x)) = x

g(f(x)) = ∛((x³ + 4) - 4)  ... simplify inside your radical, cancelling out the 4s
g(f(x)) = ∛(x³)  ... the cube root of x³ is x itself, so:
g(f(x)) = x

and there you are. you've confirmed that these are inverses.

The Greek alphabet contains 24 letters. How many fraternity names with Greek letters can be formed if each fraternity name contains 3 letters and repetition of letters is not permitted?a)69
B)12144
c)13824

Answers

For the first letter we have 24 choices. Since letters can't repeat the second letter has 23 choices (24 minus 1 that was used for the first slot) and the third has 22 (24 minus one for the first slot and one for the second slot).

The total number of combinations is thus: 24 x 23 x 22= 12,144
slot method

1st slot=24 options
2nd slot=23 options (1 went to 1st slot)
3rd slot=22 options (another to previous slot)

multiply them
24*23*22=12144 ways

B

Six blood pressure readings are 115, 120, 123, 121, 121, and 112 mm Hg. What is the average (mean) value?

Answers

Answer:

118.666666667 mmHg

Step-by-step explanation:

To find the average/mean of a set of values, you add all the values together, then divide them by the amount of values in the set.

115+120+123+121+121+112 = 712

Since there is 6 values, you divide this by 6.

712÷6 = 118.666666667 mmHg

Hope this helps!

The perimeter of a rectangular room is 32m.The length of a diagonal is 8m more than than the width.Find the dimensions of the room.

Answers

Answer: 12m by 4m.

Step-by-step explanation: You are looking for the dimensions of the room here, also known as the length and width.

Let’s make width equal to x since we don’t know what the value is. Length is going to be x + 8 since the diagonal is 8m MORE than the width.

w = x

l = x + 8

Use the equation for the perimeter.

P = 2l + 2w

Plug in your values:

32 = 2(x + 8) + 2(x)

Now, solve for x! First start by distributing the 2:

32 = 2x + 16 + 2x

Next, add like terms:

32 = 4x + 16

Subtract 16 from both sides:

16 = 4x

Divide by 4 on both sides:

4 = x

Now we have x, but remember, x is equal to the width. We just solved for width so now we need length.

l = x + 8

Plug in your x and solve:

l = 4 + 8

l = 12

Your length is 12m and your width is 4m, therefore, the dimensions of the rectangular room are 12m by 4m.

Ben takes a random sample of 25 students in his seventh grade class and finds that 85% of the sample prefers math over science.there are 150 students in the seventh grade.based on the sample proportion,about how many students in the seventh grade would be expected to prefer math over science

Answers

Answer:

The  number of students in the seventh grade who would be expected to prefer math over science are:

                              128

Step-by-step explanation:

Total number of students in seventh grade are: 150 students.

Now he took a sample of 25 students and find that the 85% of the sample prefers math over science.

This means that out of the sample the number of students who prefer maths over science is:

=(85)/(100)* 25\n\n\n=(85)/(4)\n\n\n=21.25\ students

Now, out of the total seventh graders the number of students who prefer math over science is:

     =(21.25* 150)/(25)\n\n\n=127.5

which is approximately equal to 128.

                Hence, the answer is:

                   128 students

Part 1 : Ben takes a random sample of 25 students in his seventh-grade class and finds that 85% of the sample prefers math over science. There are 150 students in the seventh grade. Based on the sample proportion, about how many students in the seventh grade would be expected to prefer math over science? 

Option 1 : 25

Option 2 : 85

Option 3 :150

Option 4 :128

Solutions - Convert the percent into decimal and multiply. 

85% of 150 = 0.85 * 150 

127.5 which is rounded to 128