Gareth 30 students in a class and the ratio of boys to girls in the class is 2:3 calculate the number of goals

Answers

Answer 1

Answer:

There are 12 boys and 18 girls

Step-by-step explanation:

Equations

There are 30 students in a class. Let's call:

x = number of boys

Since the sum of boys and girls is 30:

30 - x = number of girls

The ratio of boys to girls is 2:3, thus:

[tex]\displaystyle \frac{x}{30-x}=\frac{2}{3}[/tex]

Crossing denominators:

3x = 2(30 - x)

Operating the parentheses:

3x = 60 - 2x

Adding 2x:

5x = 60

Dividing by 5:

x = 60/5 = 12

x = 12

There are 12 boys and 30-12=18 girls


Related Questions

I estimated that the repairs to my car would cost $80. In fact, they cost $120. What was the percentage error?

Answers

Answer:

69%

Step-by-step explanation:

Im just doing this to get my points up. dont get mad

If point C is the circumcenter, find each missing value(picture attached)

Answers

Answer:

yc is 12

ct is 7

yz is 24

for rz im not sure im so sorry :(

4 + 2x = 20 so what does x =

Answers

4 + 2x = 20
2x = 16
x = 8

I need help quick please!!!!

Answers

Answer:

1 is false

2 is blueprints

Step-by-step explanation:

BRAINLIEST
please leave a small explanation:)

Answers

Answer:

I say D cuz if u look at it, it's a pretty wide enough angle to be at least 47°

Answer:

your answer is c

Step-by-step explanation:

for it to be 137 degrees, the line would have to change direction to get to that angle, and same with the others, and with 43 degrees, it already gives you the measurement of  N F so you can just take that same angle and put it there as your answer.

HTH!!

Calculate the hypotenuse. Find the missing side of each triangle, leave your answers in simplest radical form.

Answers

Answer:

easy

Step-by-step explanation:

just mutiply both numbers of the the side by themselves or square them, then add them together and find the square root. sorry that i can't do them individual but this is a simple explaination

Yea what he said |^ .....

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

ST = 8 m

Step-by-step explanation:

Since ∆PQR is congruent to ∆STU, therefore, the three sides of ∆PQR would be congruent or equal to the corresponding three sides of ∆STU.

PQ corresponds to ST.

Therefore, PQ is congruent to corresponding side ST, which is 8 m

ST = 8 m

John is going to invest in an account paying an interest rate of 3.8% compounded
daily. How much would John need to invest, to the nearest hundred dollars, for the
value of the account to reach $1,880 in 20 years?

Answers

Answer:

900

Step-by-step explanation:

Answer:

900

Step-by-step explanation:

Which of the following is in reduced form?

Answers

A. -14x^2/15y^3
Rest all are not reduced in terms of signs and factors.

Is (2, 7) a solution to this system of equations?
x + y = 9
3x + 13y - 9

Answers

Answer:

No

Step-by-step explanation:

Assuming that you put the wrong sign for the second equation if you plug (2,7) into the two equations it only works for one equation.


1) Which of these are equivalent to - ? Choose ALL that apply.

PLEASE ANSWER ASAP !!!!
*ANSWERS ON PIC*

Answers

the last 3 should be the right ones, hope thats correct
The fist one is right hope I helped you

Please help at least one Number it please!!!!

Answers

I believe that would be -2 plus 90 because 9 by 10 is 90 and you’d write down -2+90 and you’d get -88

4) What type of sequence is shown: 1, 2, 4, 7, 10,...

Answers

Answer:

Stohr sequence

Step-by-step explanation:

Let a_1=1 and define a_(n+1) to be the least integer greater than a_n which cannot be written as the sum of at most h>=2 addends among the terms a_1, a_2, ..., a_n. This defines the h-Stöhr sequence

What is the slope of the line below? If necessary, enter your answer as a
fraction in lowest terms, using the slash (/) as the fraction bar. Do not enter
your answer as a decimal number or an equation.(4,8)
(2, 2)

Answers

Answer:

-2

Step-by-step explanation:

m=y2-y1/x2-x1

y2=2 y1=8

x2=2 x1=4

=2-8/4-2

=-4/2

=-2

5y - 4x = -7
2y + 4x = 14
Solve the system of equation

Answers

Answer:

( 4 , 1 )

Step-by-step explanation:

when canceling out the y values and then adding the two functions together you get

7y = 7

dividing by seven you get y = 1

when plugging y = 1 into the first quation you get

5 - 4x = -7

subtract 5 from both sides

-4x = -12

divide both sides by negetive four

x = 3

then with plugging in y = 1 for the second equation you get

2 + 4x = 14

subtract 2 from both sides

4x = 12

divide both sides by 4

x = 3

you then check your answers and get the point of (4, 1) for your answer.

Find an equation of the perpendicular bisector of the line segment whose endpoints are given.
(0,1) and (-10,5)
The equation is
andard form)

Answers

Answer:

The equation of the perpendicular bisector line

5 x - 2 y + 31 =0

Step-by-step explanation:

Explanation:-

Given points are ( 0,1) and (-10,5)

The Midpoint of given two points

             [tex](\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2} }{2} )[/tex]

             (-5 , 3)

The Slope of the line

 m =        [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{5-1}{-10} = \frac{-2}{5}[/tex]

The perpendicular slope

    =   [tex]\frac{-1}{m} = \frac{-1}{\frac{-2}{5} } = \frac{5}{2}[/tex]

The equation of the perpendicular bisector line

 [tex]y - y_{1} = m (x - x_{1} )[/tex]

 [tex]y - 3 = \frac{5}{2} ( x-(-5))[/tex]

  2 y - 6 = 5( x +5)

    5 x + 25 -2y +6 =0

   5 x - 2 y + 31 =0

I will give brainiest to whoever answers correctly !!

Answers

Answer:

A = $2937.5

Step-by-step explanation:

Given the following data;

Total gifts and scholarships = $900 + $250 + $300 + $1400 = $2850

Therefore, Principal = $2850

Time in years = 36 months/ 12 months = 3 years

Interest = 1% = 1/100 = 0.01

n = 360

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]

Where;

A is the future value. P is the principal or starting amount. r is annual interest rate. n is the number of times the interest is compounded in a year. t is the number of years for the compound interest.

Substituting into the equation, we have;

[tex] A = 2850(1 + \frac{0.01}{360})^{360*3}[/tex]

[tex] A = 2850(1 + 0.000028)^{1080}[/tex]

[tex] A = 2850(1.000028)^{1080}[/tex]

[tex] A = 2850(1.0307)[/tex]

A = $2937.5

Therefore, the graduate will have $2937.5 when he cashes in the CD.

unit rate for $112 in 8 hours

Answers

Answer:

$14 per hour could i get brainliest please?

Step-by-step explanation:

Answer:

$14 per hour

Step-by-step explanation:

112 divided by 8 is 14. So $14 per hour

Which statement describes why AABC and ADEF are congruent by SAS?

Answers

Answer:It is The first one.

Step-by-step explanation:

solve the question, please 2.0

Answers

Answer:

43.88

Step-by-step explanation:

Using the sine rule

Jayda has a vegetable garden. 2/3 of the garden is made up of tomato plants. 4/5 of the tomato plants are beefsteak tomatoes. What portion of the garden is made up of beef steak tomatoes?​

Answers

Answer:

8/15 of Jayda's vegetable garden are beefsteak tomatoes.

Step-by-step explanation:

Since Jayda has a vegetable garden, of which 2/3 are tomato plants, and of these tomato plants 4/5 are beefsteak tomatoes, to determine the portion of the garden that is made up of beefsteak tomatoes the following must be done mathematical reasoning:

The common least multiple of 3 and 5 is 15, so 2/3 can be re-categorized as 10/15. In turn, of those 10, 4/5 are beefsteak tomatoes, which can be re-categorized as 8/10.

Therefore, 8/15 of Jayda's vegetable garden are beefsteak tomatoes.

3 pens cost $2.70.

What is the cost per pen?

Answers

Answer:

$0.90

Step-by-step explanation:

Answer:

$0.90

Step-by-step explanation:

Assuming there are no taxes or additional costs, one simply has to divide the total cost by the amount purchased to find the unit price, hence;

2.7 / 3

= 0.9

if you roll a pair of dice, what is the probability that both are 3's or that the sum is more than 8

Answers

Answer:

11/36

Step-by-step explanation:

We have 36 possible outcomes when rolling a pair of dice.

Only 1 outcome gets both 3's. (3 3)

For the sum to be greater than 8, there are 10 outcomes.

(3 6) (4 5) (4 6) (5 4) (5 5) (5 6) (6 3) (6 4) (6 5) (6 6)

The probability is therefore (1+10)/36=11/36.

pplllllllllllllllsss help 1)

Answers

I think it would be 4 I’m not sure though

THIS IS MY 6TH TIME POSTING THIS HELP

A scale drawing of a rectangular basketball court measures 7 inches long and 4 inches wide. If the scale used for the drawing is 2.5 inches equals 5 yards, what is the actual length of the park?

Answers

Answer:

14 yards

Step-by-step explanation:

length of basketball court=

7 inches

(times by 2.8) 2.5 inches-5 yards( times by 2.8)

7 inches=14

i hope i helped:)

need help asap please!!

Answers

Answer:

[tex]\displaystyle 23[/tex]

Step-by-step explanation:

[tex]\displaystyle 4p = p + 69 → -69 = -3p; 23 = p[/tex]

I am joyous to assist you at any time.

If 0 = 35, then solve for X.
Х
9
Round to the nearest hundredth.

Answers

Answer:

x = 15.69

Step-by-step explanation:

Reference angle = 35°

Opposite side to reference angle = 9

hypotenuse = x

Find x using trigonometric ratio.

Thus,

Sin 35 = 9/x

Multiply both sides by x

x*sin 35 = 9

Divide both sides by sin 35

x = 9/sin 35

x = 15.69 (nearest hundredth)

is 4 1/2 equivalent to 4.5/100

Answers

Answer:

Every number in decimal form, in which either decimals terminate or certain numbers after decimal point continue to repeat endlessly, can be written as a fraction. As the given number 4.5 terminates after first deciimal it can be written as fraction. Here we have 4.5=4510=92 a fraction.

Step-by-step explanation:

hope i could help

Find the sum of the expressions .
8+x-13+n(3-x) =

Answers

Answer: =−nx+3n+x−5

Step-by-step explanation:

HELLP MEEEE PLEAAASSSEE

Answers

THE FUGURE IS 140 DEGREES JUST REEVALUATE THE ANGLES
okay fine no problem
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