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Answers

Answer 1

Answer:

Answers:

x = 141

y = 39

Explanation

Angle x and angle 141 are congruent because they are corresponding angles, and because the lines are parallel. Corresponding angles are in the same corner. In this case it's the northwest corner.

Angles x and y are supplementary. They glue together to get a straight line. Which means the angles add to 180.

x+y = 180

141+y = 180

y = 180-141

y = 39

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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

2x^2 + 108 = 42x NEED HELP SOLVING QUADRATIC EQUATION

Answers

Answer:

x = 18

x = 3

Step-by-step explanation:

2x² - 42x + 108 = 0

common factor is two, so take it out to simplify equation

2 (x² - 21x + 54) = 0

0/2 = 0

x² - 21x + 54 = 0

Factors of 54 which add up to 21 is 18 and 3

(x - 18)(x - 3) = 0

Hence,

x = 18

x = 3

If the 1600m race is 4 laps, what is the path length raced?

Answers

it is 400 because you have to divide

What two numbers multiply to 108 and add to -39?

Answers

negative 36 and negative 3

Margarita is hired by an accounting firm at a salary of $60,000 per year. Three years later her annual salary has increased to $70,500. Assume her salary increase linearly. Find an equation that relates her annual salary S and the number of years t that she has worked for the firm.

Answers

the salary was increased each by 10,500 dollars a year

What 3 consecutive numbers add up to 237?

Answers

let three consecutive numbers be a-1 , a ,a+1

sum of above (a-1)+(a)+(a+1) = 237
3a = 237
a = 79

therefore three numbers are = 78, 79,80

Take the three consecutive numbers as x, x+1 and x+2. These three have to add up to 237 so we get the equation:

x + (x+1) + (x+2) = 237
3x + 3 = 237
3x = 234
x = 234 / 3 = 78

Therefore the numbers are x (78), x+1 (79) and x+2 (80)

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