1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
KatRina [158]
2 years ago
15

the ratio of girls to boys in the sixth grade is 5:3. If there are 400 sixth graders, how many boys are there?

Mathematics
1 answer:
PilotLPTM [1.2K]2 years ago
3 0

Answer:

boys = 250

girls = 150

Step-by-step explanation:

5g = 3b       eq. 1

g + b = 400       eq. 2

g = girls

b = boys

From the eq. 2

g = 400 - b

Replacing this last eq. on eq. 1:

5(400-b) = 3b

5*400 + 5*-b = 3b

2000 - 5b = 3b

2000 = 3b + 5b

2000 = 8b

2000/8 = b

250 = b

From eq. 2

g + 250 = 400

g = 400 - 250

g = 150

Check:

from eq. 1

5*150 = 3*250  = 750

You might be interested in
Without sketching the graph, find the x intercepts and y-intercepts of the graph of the equation 2x+3y=12 What isjare the x-inte
den301095 [7]

Answer:

x-intercept: (6,0)

y-intercept:  (0,4)

Step-by-step explanation:

The x-intercepts lay on the x-axis and therefore their y-coordinate is 0.

To find the x-intercept, you set y to 0 and solve for x.

2x+3y=12

Set y=0.

2x+3(0)=12

2x+0    =12

2x         =12

Divide both sides by 2:

 x          =12/2

 x          =6

The x-intercept is (x,y)=(6,0).

The y-intercepts lay on the y-axis and therefore their x-coordinate is 0.

To find the y-intercept, you set x to 0 solve for y.

2x+3y=12

2(0)+3y=12

0+3y    =12

3y         =12

Divide both sides by 3:

 y          =12/3

 y           =4

The y-intercept is (0,4).

8 0
3 years ago
A single batch of cookies requires two cups of sugar and three cups of flour. If more than one batch or a partial batch was made
HACTEHA [7]

Step-by-step explanation:

4 cup of sugar = 6 cup of flour

4.5 cup of sugar = 6.75 cup of flour

5 cup of sugar = 7.5 cup of flour

7.5 cup of sugar = 11.25 cup of flour

8 cup of sugar = 12cup of flour

hope it helps you

6 0
3 years ago
Read 2 more answers
The area of a square is 8 square meters. which of these is closest to the length of one side of the square?''
sveticcg [70]
I hope this helps you

3 0
3 years ago
Read 2 more answers
The coordinate of M is 2.5 and MN = 4 what are the possible coordinates for N
stira [4]
The possible coordinates for N is 0
3 0
3 years ago
Help meeee plz I don’t get it
MatroZZZ [7]

Answer: F

Step-by-step explanation:

This is basically like 2 rectangles. Find the area of both and add them together.

Remember that the area is l x w.

Area of Rectangle 1: l = 7, w = 14

14 x 7 = 98cm^{2}

Area of Rectangle 2: l = 5, w = 14

14 x 5 = 70cm^{2}

Add the areas together: 98cm^{2} + 70cm^{2} = 168cm^{2}

6 0
3 years ago
Other questions:
  • Answer and explanation.
    9·1 answer
  • g A simple random sample of​ front-seat occupants involved in car crashes is obtained. Among 2950 occupants not wearing seat​ be
    11·1 answer
  • The students in Mrs. Willow's reading class are all reading the same novel independently. Four students create a graph of their
    8·1 answer
  • 2m^2 ( -3m + 4m^3 ) - (3m)^3 <br> simplify completely
    6·2 answers
  • If x+y = 12 and x−y = 8, what is the value of x2+y2? (A) 20 (B) 24 (C) 100 (D) 104 (E) 208
    6·1 answer
  • A line passes through points (0, k) and (4.0) and has a slope of -2.5. Which statements are true regarding the graph of the line
    12·1 answer
  • You have 12 liters of a juice blend that is 25% juice. How many liters of pure juice need to be added in order to make the blend
    11·1 answer
  • Of the balls in Brian's garage, 1/3 are basketballs and 1/15 are soccer balls. 10 points
    6·1 answer
  • Find a solution to the linear equation y = 62 - 18 by filling in the boxes with a valid value of x and y.
    9·1 answer
  • An account earning 6.5% interest compounded annually for 10 years would have a balance of how much if the principal was $500
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!