420 student 25 times 3 times the number of girls 2 times the number of boys how many girls amd how many boys

Answers

Answer 1

Complete Question

We have a total of 420 students. 2 times 3 times the number of girls is equal to 2 times the number of boys how many girls and how many boys

Answer:

The number of boys = x = 315 boys

The number of girls = y = 105 girls

Step-by-step explanation:

Let

The number of boys = x

The number of girls = y

We have 420 students

2 times 3 times the number of girls is equal to 2 times the number of boys

x + y = 420..... Equation 1

2 × 3y = 2x

6y => 2x

x => 6y/2 = 3y

We substitute 3y for x in Equation 1

3y + y = 420

4y = 420

y =>420/4

y => 105

Solving for x

x = 3y

x = 3 × 105

x = 315

Therefore,

The number of boys = x = 315 boys

The number of girls = y = 105 girls


Related Questions

Use the distributive property to expand (simplify): 14(2t - 10y)

Answers

Answer:

28t-140y

step by step explanation:

[tex]\textsf{Hi Brainy User, I'm Here to Help you!}[/tex]

- - - - - - - - - - - - - - - - - - -

[tex]\textsf{We're asked to expand the expression using the distributive property.}[/tex]

[tex]\textsf{But we need to be familiar with it first. \quad This is what it states :}[/tex]

[tex]\textsf{a(b+c)=ab+ac}[/tex]

[tex]\textsf{Now we simplify. \quad 14(2t-10y)=14*2t-14*10y=28t-140y}[/tex]

[tex]\textsf{\textbf{Answer: 28t-140y}}[/tex]

[tex]\Large\overbrace{\underbrace{\boldsymbol{Reflection - RoSe}}}^\star_\star[/tex]

a car is traveling 22 miles in 1/2 hr.. How much miles in an hour

Answers

Answer:

44

Step-by-step explanation:

1/2×2=1

22×2=44

The car is going 44 miles in 1 hour

44 miles per hour 22x2 because

20 points
14 The base of a rectangular prism has a length of 15 inches and a width of 13 inches.
What is the area of this base of the prism in square inches?
Record your answer and fill in the bubbles on your answer document. Be sure to use
the correct place value.
195 square inches
28 square inches
56 square inches

Answers

Answer:

195 sq. in.

Step-by-step explanation:

area = length * width

area = 15 in. * 13 in. = 195 sq. in.

Convert 54 km/h into metres per second (m/s)

Answers

Answer:

1.5m/sec is the answer

Step-by-step explanation:

54×1000m/60×60sec

54000m/3600sec

1.5m/sec

Answer:

15 m/s

Step-by-step explanation:

54 ÷ 3.6 = 15 m/s

what is 100x2453= i really need help asap

Answers

The answer to 100 times 2453 is 245300
Answer: 245300

Gale owns a car that is worth $9,500 but she still owes $7,400 on the car loan. She has a student loan in the amount of $6,000 and she has a savings account with a balance of $1500. The balance on her credit card is $3200. What is her net worth?

Answers

Answer:

$8000

Step-by-step explanation:

Given: Car worth = $9,500, car loan = $7,400. Student loan = $6,000, savings account = $1500. The balance on her credit card is $3200.

Formula: Total Assets - Total Liabilities - Intangible Assets = Tangible Net Worth.

To find: Gale's net worth

Solution: You can calculate your net worth by subtracting your liabilities (debts) from your assets.

Firstly, calculate the total amount of assets by adding them together;

Total assets = Car worth + car loan + Student loan + savings account + balance on her credit card =

$9,500 + $7,400 + $6,000 + $3200 =$26,100

Secondly, calculate the Liabilties by adding them together;

Car loan + Student loan =

$7,400 + $6,000 = $13,400

Then, calculate the Intangible Assets by adding them together;

Savings account +  The balance on her credit card =

$1500 + $3200 = $4700

Finally substact the total amounts;

$26,100 - $13,400 - $4700 = $8000

(Note:- If your assets exceed your liabilities, you will have a positive net worth. Conversely, if your liabilities are greater than your assets, you will have a negative net worth.)


Y’all how do I do this-

Answers

Answer:

The measure of angle A is: 27

Step-by-step explanation:

The measure of an angle made by a circle and a chord is 1/2 the measure of the arc that it creates.

A science test had 32 true or false questions. Malik answered 75% of the questions correctly. How many of the questions did he NOT answer correctly?

Answers

Answer:

If you had 32 questions and got a grade of 75% then you would have gotten 8 questions wrong and 24 correct anwsers.

The square of a number is equal to 10 less than 7 times that number. What are the two possible solutions?

Answers

Answer:

x = 5, 2

Step-by-step explanation:

x^2 = 7x - 10

x^2 -7x + 10 = 0

(x - 2)(x - 5) = 0

x = 5, 2

Amount
Expense
Mortgage
Gasoline
$650
$150
$130
Groceries
Car Insurance
590
Clothes
$80
About what percent of Davon's monthly budget was spent on groceries?
F
12%
13%
H
896
J
1.18%

Answers

Answer:oline

$650

$150

$130

Groceries

Car Insurance

590

Clothes

$80oline

$650

$150

$130

Groceries

Car Insurance

590

Clothes

$80

About what percent of Davon's monthly budget w

About what percent of Davon's monthly budget w

Step-by-step explanation:

oline

$650

$150

$130

Groceries

Car Insurance

590

Clothes

$80

About what percent of Davon's monthly budget w

Answer:

the one i got is 12%

Step-by-step explanation:

but im not sure if its correct

can somebody help me with this ty!!

Answers

(if you are finding area)
5x5 =25
1/2bh = 17.5
17.5 + 25 =
42.5

combine like terms 23x + 3y -5x​

Answers

Answer:

18x + 3y

Step-by-step explanation:

23x - 5x combine to 18x.  

Then the given expression becomes 18x + 3y.

Answer:

18x+3y

Step-by-step explanation:

DO NOT ROUND YOUR ANSWER! Answer _________________ m2

Answers

So full answer not rounded?

Answer:

Gotcha!

I will be letting Ms. Gilbert know about this..

hii please help i’ll give brainliest

Answers

Answer:

H

Step-by-step explanation:

the point H is (-3, 2) which fits the requirements

the answer is point H because quadrant two will always have a pair that is (-,+)

15. Which line is parallel to the line
y= x +7?
A. x - y=5
B. x+y=-2.
C. y=1
D. x=1

Answers

D
Because a one always go in front of an x when there not a number beside it!

tell whether the angles are adjacent or vertical. Then find the value of x

Answers

Step-by-step explanation:

8.Solution:

x+35=90(adjacent)

x=90-35

x=55

9.Solution:

x=128(vertical)

10.Solution:

x+117=180(adjacent)

x=180-117

x=63

11.Solution:

75=4x-25(vertical)

75+25=4x

100/4=x

x=25

12.Solution:

4x+2x=90(adjacent)

6x=90

x=90/6

x=15

13.Solution:

7x+x+20=180(adjacent)

8x=180-20

x=170/8

x=21.25

please help with 13, giving brainliest

Answers

x=6, s=31, r=118, Q=31

Answer:

6

Step-by-step explanation:

m《 Q+ m《R +m《S =180 (Angles of a triangle add up to 180 degrees )

8x-17 +19x +4 +5x+1=180

32x-12=180

32x =180+12

32x =192

32X /32=192 /32

x=6

substitute x to angle Q, R and S

mQ=8 (6)-17

=31

mR=19 (6)+4

=118

mS=5 (6)+1

=31

Answer this question to get marked as barinliest!!!!!

Answers

Answer:

32 degrees

Step-by-step explanation:

114° - 82° = r°

=> r = 32°

PLSSSSS HELPPPPP 20 POINTSSS EASY MATHHHH

What 2-dimensional shapes do you see when you look at the Hexagonal Prism? Choose ALL that you see.

Squares

Rectangles

Triangles

Hexagons

Pentagons

Trapezoids

Answers

Answer:

All of the above EXCEPT pentagons

Step-by-step explanation:

Well I already explained in the comments and I am pretty sure you already answered the question but for the points :)

Good day!

Frank's bank charges a variable finance rate of 1.5 percent on purchases up to $100, and one percent for purchases over $100. If his unpaid balance is $354.15 this month, what is his finance charge?​

Answers

Answer:

Hi there, $4.04 should be his finance charge.

Step-by-step explanation:

need help with working perimeter and area please

Answers

Answer:

Area = 228 m²

Perimeter = 60 m

Step-by-step explanation:

The figure given shows a rectangle that has a cut triangular portion.

✔️Area of the figure = area of rectangle - area of the triangular cut portion

= L*W + ½*bh

Where,

L = 20 m

W = 12 m

b = 20 - (8 + 8) = 4 m

h = 6 m

Plug in the values

Area = 20*12 - ½*4*6

Area = 240 - 12

Area = 228 m²

✔️Perimeter = perimeter of rectangle - base of the triangular cut portion

= 2(L + W) - b

L = 20 m

W = 12 m

b = b = 20 - (8 + 8) = 4 m

Plug in the values

Perimeter = 2(20 + 12) - 4

= 2(32) - 4

= 64 - 4

Perimeter = 60 m

what is the equation of the following line? Please help

Answers

Answer:

D

Step-by-step explanation:

just trust me on this one

Answer:

y= -1/3x

Step-by-step explanation: use y=mx+b

m is the slope (rise over run)

x stays as x

b =  is the coordinate on the y-axis where the graph crosses the y-axis.

A car rental company charges 45.95 per day plus 0.35 per mile Rachel rented a car for two days and was charged 117.10 how many miles did Rachel drive the car 25 miles? 72 miles 117 miles 203 miles

Answers

Answer:

203.28 miles

Step-by-step explanation:

Given data

charge per day= $45.95

charge per mile= 0.35

The expression for the total is

y= 45.95+0.35x

where x is the number of miles

We want to find the value of x when y= 117.10

substitute

117.10=45.95+0.35x

117.10-45.95=0.35x

71.15=0.35x

x= 71.15/0.35

x=203.28 miles

HELP ASAPPPPPP( i need it before 5:30)

Answers

Answer: I would say that x = 10 degrees

Step-by-step explanation:

The angle has a square, meaning it is a right angle. Right angles are 90 degrees, and you're given 80 degrees + x.

90 - 80 = 10

Hope this helps!

Answer:

10 degrees

Step-by-step explanation:

First off complementary angles require the sum of both adjacent angles to equal 90 degrees. You are already given the degrees of one of the adjacent angles so all you need to do is a geometric proof. 90 = 80 + x and subtract 80 from each side to get 10 = x.

Voltage (V), varies directly with resistance (R) in a circuit. If the voltage is 150 volts when the resistance is 480 ohms, find the voltage when the resistance is 200 ohms.

Answers

62.5 v I think but I’m not sure

HURRY PLEASEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:i would say 1

Step-by-step explanation:

375 because (8 x 30) + (.50(9) x 30) = (240) + (4.50 x 30) = 240 + 135 = 375

h(x) = x ^ 2 - 7x - 8 1) What are the zeros of the function? Write the smaller first, and the larger second smaller I largerx = 2 ) What is the vertex of the parabola ?

Answers

Answer:

The zeros are x = -1 and x = 8

The vertex is (3.5, -20.25)

Step-by-step explanation:

When we have a quadratic equation like:

y = a*x^2 + b*x + c

The zeros of the function are the values of x such that:

a*x^2 + b*x + c = 0

And the solutions are given by the Bhaskara's equation, which is:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]

And the vertex is at:

x = -b/2a

The y-value at the vertex is the function evaluated in that point.

In this case, we have the equation:

h(x) = x^2 - 7*x - 8

Then:

a = 1

b = -7

c= -8

Replacing these in the Bhaskara's equation we get:

[tex]x = \frac{-(-7) \pm \sqrt{(-7)^2-4*1*(-8)} }{2*1} = \frac{7 \pm 9 }{2}[/tex]

Then the two solutions are:

x = (7 - 9)/2 = -2/2 = -1   (this is the smaller one)

and

x = (7 + 9)/2 = 16/2 = 8  (this is the larger one)

And we will have the vertex at:

x = -(-7)/2*1 = 7/2 = 3.5

Evaluating h(x) in 3.5 we get:

h(3.5) = (3.5)^2 - 7*(3.5) - 8 = -20.25

Then the vertex is the point:

(3.5, -20.25)

Emerson swims 1/2 a miles every 1/4 of an hour. How far can she swim in one hour?

(Complex fractions)

Answers

Answer:

he swims 1/2 miles in 1/4 hours

multiply both them by 4

we get

2 miles in 1 hour

2 miles in one hour

Two of the angles in a triangle measure 81° and 86°. What is the measure of the third angle?

Answers

Answer:

13°

Step-by-step explanation:

The reason is because the sum of all the angles in a triangle add up to 180°, so to find the last angle you add 81°+86°=167°

Subtract: 180°-167°=13°

Hope this helped!

Stay safe and have a wonderful day/night!

Your friend Bella was here :)

work out 5/9 0f 100. give your answer to nearest whole number

Answers

Answer:

56

Step-by-step explanation:

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