Ask question

Ask question

All categories

3 years ago

14

Out of the 1,480 students in Gila Monster High School, 896 are girls. A total of 373 of the students made the honor roll. The nu

mber of girls who appeared on the honor roll was 5 less than twice the number of boys.
How many girls are in the honor roll

How many boys are in the honor roll

1 answer:

Alborosie3 years ago

5 0

Answer:

There are 126 boys on the honor roll and 247 girls on the honor roll.

Step-by-step explanation:

Out of the 1,480 students in Gila Monster High School, a total of 373 of the students made the honor roll.

Let the number of girls that made the honor roll be g.

Let the number of boys that made the honor roll be b.

This means that:

b + g = 373_________________(1)

The number of girls who appeared on the honor roll was 5 less than twice the number of boys.

This means that:

g = 2b - 5___________________(2)

Let us insert (2) in (1):

b + (2b - 5) = 373

=> b + 2b - 5 = 373

3b = 373 + 5

3b = 378

=> b = 378 / 3 = 126

From (1):

b + g = 373

=> 126 + g = 373

g = 373 - 126

g = 247 girls

Therefore, there are 126 boys on the honor roll and 247 girls on the honor roll.

You might be interested in

Can someone please explain?

AlladinOne [14]

<h2>Hello!</h2>

The answer is:

The correct option is the first option:

$y=-4x+64$

<h2>Why?</h2>

To write the equation of the line in slope-interception form we need to extract all the information that we need from the graphic.

We must remember that the slope-interception form of the lines is:

$y=mx+b$

Where,

y, is the function

m, is the slope of the line

x, is the variable

b, is the y-axis intercept

We can find the slope using the following formula:

$m=\frac{ChangeInY}{ChangeInX}$

Which is for this case:

$m=\frac{64}{16}=4$

As we can see from the graphic, the line is decresing, so the sign of the slope "m" will be negative, so:

$m=-4$

We can find the value of "b" seeing where the line intercepts the y-axis.

As we can see it intercept the y-axis at: $y=64$

Then, now that we already know the value of "m" and "b", we can write the equation of the line:

$y=mx+b=-4x+64\\y=-4x+64$

So, the correct option is the first option:

$y=-4x+64$

Have a nice day!

4 0

2 years ago

9x - 4/x = 3. How to solve this? What is the value of x?

Ket [755]

9x-4/x=3 ok first lets get the like terms together! So 9x+1x=10x rewrite 10x-4=3 add 4 to both sides 10x=7 then divide 10 7/10=.7 x=.7
Or you can do it this way
9x-4/x=3 combine like terms so times -4 to both sides 3*-4=-12 rewrite 9x+x=-12 combine like term (still got some) 9x+1x=10x rewrite 10x=-12 divide 10 to both sides -12/10=-1.2 rewrite x=-1.2 (I'm like 95% sure it's this one) hope this helps!!! Have a nice nite (Don't be afraid to ask me about details on this or another question)!!!

7 0

3 years ago

F/4 + 16 < 49<br> Solve the inequality

Mnenie [13.5K]

Answer:

$f$ < $132$

Step-by-step explanation:

$Greetings!$

$I'm~Isabelle~Williams~and~I~will~be~answering~your~question!$

$Subtract~16~from~both~sides:$

$\frac{f}{4} +16-16$ < $49-16$

$Simplify:$

$\frac{f}{4}$ < $33$

$Now,~multiply~both~sides~by~4:$

$\frac{4f}{4}$ < $33\times4$

$f$ < $132$

$Hope~my~answer~helps!~Have~a~great~day~ahead!$

$-Isabelle~Williams$

5 0

3 years ago

Which is answer if not know please solve for mw

Vlad1618 [11]

<h3>Answers:</h3><h3>Area of parallelogram = 63</h3><h3>Area of triangle = 34</h3><h3>Area of trapezoid = 84</h3><h3>The trapezoid has the largest area</h3>

==================================================

Work Shown:

area of parallelogram = base*height

area of parallelogram = 9*7

area of parallelogram = 63

----------

area of triangle = (1/2)*base*height

area of triangle = (1/2)*10*6.8

area of triangle = 34

----------

area of trapezoid = height*(base1+base2)/2

area of trapezoid = 6*(13+15)/2

area of trapezoid = 6*(28)/2

area of trapezoid = 168/2

area of trapezoid = 84

5 0

3 years ago

An ice cream shop uses 4 pints of ice cream to make 6 sundaes. The same amount of ice cream was used for each sundae. How many p

lawyer [7]

Answer:

1.5 pints per sundae

Step-by-step explanation:

5 0

2 years ago