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
Shkiper50 [21]
4 years ago
5

A group consisted of 2 girls for every boy. 24 more girls joined the group. There are now 5 girls for every boy. How many boys a

re in the group
Mathematics
2 answers:
natali 33 [55]4 years ago
8 0

Answer:

8 boys are in the group

Step-by-step explanation:

A group consisted of 2 girls for every boy. 24 more girls joined the group. There are now 5 girls for every boy.

Let 'x' be the number of boys

2 girls for every boy and 24 more girls joined

So  number of girls now = 2(number of boys ) + 24

2x + 24

now 5 girls for every boy.

number of girls now = 5 (number of boys)

5x

2x + 24 = 5x

Subtract 2x on both sides

24 = 3x

Divide by 3 on both sides

x= 8

So number of boys in the group = 8




k0ka [10]4 years ago
3 0

X = boys

2x+24=5x

Subtract 2 x from each side

24=3x

X=24/3 = 8


 there are 8 boys



You might be interested in
If f(c)=0, which of the following statements must be true?
Tju [1.3M]

Answer:

C.

Step-by-step explanation:

If f(c)=0 then (c,0) is on the graph.

In general, if f(a)=b then (a,b) is on the graph.

By factor theorem if f(c)=0 then x-c is a factor.

If x-c is a factor then x-c will divide f(x) evenly.  We know this because the remainder will be 0 because we know x-c is a factor of f.

The only choice that I have said in this whole thing that is true is C.

7 0
3 years ago
Read 2 more answers
Q8: Identify the graph of the equation. What is the angle of rotation for the equation?
Allisa [31]

Answer:

B. hyperbola, 45°

Step-by-step explanation:

This is rotation in quadratic equations

Perform elimination of xy term

Ax² +B xy+Cy²+Dx+Ey+F=0

Rotation of axes of the coordinates through angle θ to satisfy

Cot 2θ =(A-C)/B

But B≠ 0 and A=C=0

Answer will be hyperbola, 45°

3 0
3 years ago
how many gallons of 80% antifreeze solution must be mixed with 100 gallons of 10% antifreeze to get a mixture that is 70% antifr
ololo11 [35]
Let's say we'll mix "x" amount of the 80% solution, how much antifreeze is in it? well is just 80% of antifreeze, and the rest is something else.... what's 80% of "x"? so is (80/100)*x, or 0.8x.

likewise, the mixture will be a 70% solution, and let's say it adds up to "y" amount, so how much antifreeze is in it? well (70/100) * y or 0.7y.

\bf \begin{array}{lccclll}
&\stackrel{gallons}{amount}&\stackrel{\%}{quantity}&\stackrel{antifreeze}{quantity}\\
&------&------&------\\
\textit{80\% sol'n}&x&0.80&0.8x\\
\textit{10\% sol'n}&100&0.10&10\\
------&------&------&------\\
mixture&y&0.70&0.7y
\end{array}

so whatever "x" is, we know that x + 100 = y.

and we know that 0.8x + 10 = 0.7y.

\bf \begin{cases}
x+100=\boxed{y}\\
0.8x+10=0.7y\\
----------\\
0.8x+10=0.7\left( \boxed{x+100} \right)
\end{cases}
\\\\\\
0.8x+10=0.7x+70\implies 0.8x-0.7x=70-10\implies 0.1x=60
\\\\\\
x=\cfrac{60}{0.1}\implies x=600
6 0
3 years ago
A machine stamps 324 metal parts in 12 minutes. How many parts are stamped in 3 hours?
Lesechka [4]

Answer:

81

Step-by-step explanation:

you have to divide 324 by 12 and get 27. when you get 27 multiply it by 3.

pls mark me branliest. hope i helped

7 0
3 years ago
Plz help me on this<br> WILL GIVE BRAINLIEST
Inessa05 [86]

Answer:

none

Step-by-step explanation:

y = -4x^2 +3x-2

To find the x intercepts, let y =0

0 = -4x^2 +3x-2

Using the discriminant

a=-4, b=3  c=-2

b^2 -4ac

3^2 -4(-4)(-2)

9 -32

-23

Since this is negative all the roots are complex, so it has no real roots

none

3 0
4 years ago
Read 2 more answers
Other questions:
  • Alice, Benjamin, and Carol each try independently to win a carnival game. If their individual probabilities for success are 1/5,
    9·1 answer
  • Angelina drew a net of a container in the shape of a triangular pyramid. The base is an isosceles triangle with sides measuring
    6·1 answer
  • HELP BEEN STUCH FOR 30 MIN
    12·1 answer
  • Jorge decided to impress some girls by diving off a cliff. The cliff was 235 feet above sea level. He dove into the water and we
    14·1 answer
  • The sum of 15x^2 + 3x - 4 and 5x - 4 is..?
    12·2 answers
  • X - 7 = }(x – 12)<br> please help me
    12·1 answer
  • 7x-6y=9<br> 5x+2y=19 Solve the system using elimination.
    12·1 answer
  • How to add a Histogram plz my homework is due tomorrow so I did now sorry if I rushed you but my mom is getting my report card s
    11·1 answer
  • What is 63,020,000 in scientific notation
    9·1 answer
  • While looking at some reports, a store manager notes that televisions that retail for $475 and up costing customers $513 once th
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!