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Papessa [141]
3 years ago
9

2 percent of the students at Hamilton Middle School have red hair. There are 400 students at Hamilton Middle School. How many st

udents at Hamilton Middle School have red hair?
Mathematics
2 answers:
klio [65]3 years ago
7 0

Answer: There are 8 students at Hamilton Middle School with red hair.

Step-by-step explanation:

Given: The proportion of the students at Hamilton Middle School have red hair = 2% = 0.02

Total students in  Hamilton Middle School = 400

Then , the number of students have red hair = (proportion of the students have red hair ) x (Total students )

= (0.02) x (400)

= 8

Hence, there are 8 students at Hamilton Middle School with red hair.

Nataly [62]3 years ago
3 0

Answer:

Answer: There are 8 students at Hamilton Middle School with red hair.

Step-by-step explanation:

Given: The proportion of the students at Hamilton Middle School have red hair = 2% = 0.02

Total students in  Hamilton Middle School = 400

Then , the number of students have red hair = (proportion of the students have red hair ) x (Total students )

= (0.02) x (400)

= 8

Hence, there are 8 students at Hamilton Middle School with red hair.

Step-by-step explanation:

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Answer:

1.25 cups of diced tomatoes

Step-by-step explanation:

1.  12 1/4 ÷ 7

2. = 49/4 x 1/7

3.  =49/28

4. =7/4

5. =1 1/4 or 1.25

I hope this was helpful

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2 years ago
How many radians is 105°?
Katen [24]

Answer:

The answer is 1.833 radians

7 0
3 years ago
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A physics exam consists of 9 multiple-choice questions and 6 open-ended problems in which all work must be shown. If an examinee
katrin [286]

Answer: A) 1260

Step-by-step explanation:

We know that the number of combinations of n things taking r at a time is given by :-

^nC_r=\dfrac{n!}{(n-r)!r!}

Given : Total multiple-choice questions  = 9

Total open-ended problems=6

If an examine must answer 6 of the multiple-choice questions and 4 of the open-ended problems ,

No. of ways to answer 6 multiple-choice questions

= ^9C_6=\dfrac{9!}{6!(9-6)!}=\dfrac{9\times8\times7\times6!}{6!3!}=84

No. of ways to answer 4 open-ended problems

= ^6C_4=\dfrac{6!}{4!(6-4)!}=\dfrac{6\times5\times4!}{4!2!}=15

Then by using the Fundamental principal of counting the number of ways can the questions and problems be chosen = No. of ways to answer 6 multiple-choice questions x No. of ways to answer 4 open-ended problems

= 84\times15=1260

Hence, the correct answer is option A) 1260

5 0
3 years ago
AB has coordinates A(-5,9) and B(7,- 7). Points P, Q, and I are collinear
VMariaS [17]

Answer:

\overline{QT}

Step-by-step explanation:

We want to find the coordinates of a certain point C(x,y) such that C divides A(x_1,y_1) and B(x_2,y_2) in the ratio m:n=3:2

The x-coordinate is given by:

x=\frac{mx_2+nx_1}{m+n}

The y-coordinate is given by:

y=\frac{my_2+ny_1}{m+n}

AB has coordinates A(-5,9) and B(7,- 7)

We substitute the values to get:

x=\frac{3*7+2*-5}{3+2}

x=\frac{21-10}{5}

x=\frac{11}{5}

and

y=\frac{3*-7+2*9}{3+2}

y=\frac{-21+18}{5}

y=-\frac{3}{5}

Therefore C has coordinates  (\frac{11}{5},-\frac{3}{5})

The line segment that contains C is \overline{QT}

See attachment.

6 0
2 years ago
Solve the system of linear equations. <br> −8x+5y=26<br> 9x−3y=−3
Sloan [31]

Answer: x = 3 and y = 10

Step-by-step explanation:

-8x + 5y = 26     .................. equation 1

9x - 3y = -3          ................ equation 2

Solving the system of linear equations by elimination method.

The means we have to make the coefficient of one of the variable the same in order to eliminate the variable first.

Let us eliminate the variable y first , this means we will multiply equation 1 by 3 and multiply equation 2 by 5. Doing this , we have

-24x + 15y = 78      ............. equation 3

45x - 15y = -15     ................ equation 4

Now that we have the same coefficient , we have to check their signs , if the have the same signs , we will subtract , that is , if both are having positive signs , we will subtract , if both have negative signs , we will also subtract but if their signs differ we will add. Following this rule and considering the equations above , the coefficients of y have different signs , so we will add equation 3 and equation 4 , so we have:

21x = 63

x = 63/21

x = 3

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9x - 3y = -3

9(3) - 3y = -3

27 - 3y = -3

27+3 = 3y

30 = 3y

30/3 = y

Therefore y = 10

Therefore : x = 3 and y = 10

8 0
3 years ago
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