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3 years ago

The ratio of boys to girls is 4 :3,if there are 24boys and how many girls will be there?

Mathematics

1 answer:

My name is Ann [436]3 years ago

6 0

Answer:

<h3 /><h3>There are 18 girls </h3>

Step-by-step explanation:

<h3>explanation given in the image </h3>

<h2>❣️◕Jess bregoli◕❣️</h2>

<h3>#<em>k</em><em>e</em><em>e</em><em>p</em><em> </em><em>learning</em><em>!</em><em>!</em></h3>

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Solve the following system of equations for a and for b:

viktelen [127]

Answer:

$a=3\\b=1$

Step-by-step explanation:

$9a+3b=30\\8a+4b=28$

Let's solve the second equation for a to later on replace it in the first equation.

$8a+4b=28\\8a=28-4b\\a=\frac{28-4b}{8}$

Now plug this into the first equation.

$9a+3b=30\\9(\frac{28-4b}{8})+3b=30$

Distribute the 9

$(\frac{252-36b}{8}) +3b=30$

Break down the fraction.

$\frac{252}{8}-\frac{36b}{8}+3b=30$

Simplify.

$\frac{63}{2}-\frac{9}{2}b+3b=30$

Subtract $\frac{63}{2}$

$-\frac{9}{2}b+3b=30-\frac{63}{2}$

Combine like terms.

$\frac{-9+2*3}{2}b=\frac{30*2-63}{2}$

$\frac{-9+6}{2}b=\frac{60-63}{2}$

$\frac{-3}{2}b=\frac{-3}{2}$

Muliply by the reciprocal or inverted fraction next to b.

$(-\frac{2}{3})(-\frac{3}{2}) b=-\frac{3}{2}(-\frac{2}{3})$

$b=1$

Now plug this value into any of the equations to find the value of a.

$8a+4b=28\\8a+4(1)=28\\8a+4=28\\8a=28-4\\8a=24\\a=\frac{24}{8}\\ a=3$

5 0

3 years ago

Consider the line through (-1, -4) and (1, 2).<br> What is the slope (m) of the line?<br>

zloy xaker [14]

Answer:

Explanation:

$\bold{\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}}$

$\bold{\left(x_1,\:y_1\right)=\left(-1,\:-4\right),\:\left(x_2,\:y_2\right)=\left(1,\:2\right)}$

$\bold{m=\frac{2-\left(-4\right)}{1-\left(-1\right)}}$

Refine

5 0

3 years ago

(8Q) Tell whether the function exhibits damped oscillation. If it does, identify the damping factor and tell whether the damping

dezoksy [38]

Answer:

Option c.

No damping

Step-by-step explanation:

We can easily solve this question by using a graphing calculator or any plotting tool.

The function is

f(x) = (√11)*cos(3.7x)

Which can be seen in the picture below

We can notice that f(x) is a cosine with maximum amplitude of (√11). Neither this factor nor the multiplication of x by 3.7 serve as a damping factor since they are constants.

f(x) does not present any dampening

5 0

3 years ago

Read 2 more answers

If f(x)=4x-2 and g(x)=-8x+7, find h(x)=f(x) - g(x)

user100 [1]

Answer:

$h(x)=12x-9$

Step-by-step explanation:

We are given the two functions:

$f(x)=4x-2\text{ and } g(x)=-8x+7$

And we want to find:

$h(x)=f(x)-g(x)$

So, by substitution:

$h(x)=(4x-2)-(-8x+7)$

Simplify. Distribute:

$h(x)=(4x-2)+(8x-7)$

Rearrange:

$h(x)=(4x+8x)+(-2-7)$

Combine like terms. Hence:

$h(x)=12x-9$

3 0

2 years ago

How to solve for x and y? Cant figure out how to make an equation?

Nady [450]

8y-4x=2x+12y
x+2y+8y-4x=180
10y-3x=180
x+2y+2x+12y=180
14y+3x=180
24y=360
y=15
8(15)-4x=2x+12(15)
120-4x=2x+180
120=6x+180
-60=6x
x=-10

7 0

3 years ago

The ratio of boys to girls is 4 :3,if there are 24boys and how many girls will be there?​

The ratio of boys to girls is 4 :3,if there are 24boys and how many girls will be there?