Six children collect 45 pencils. 20% of the pencils need sharpening. How many pencils need
sharpening?

The ratio of red marbles to green marbles, [tex]r:g=5:7[/tex]

The first sentence about what happens to the bag of marbles;

"When one red marble is removed and one green marble added, the ratio of red to green marbles is now 2:3"

Leads to the fractional equation

[tex]\frac{r-1}{g+1}=\frac{2}{3}[/tex]

After rearranging, we get equation (1) [tex]3r-2g=5[/tex]

The next sentence about what happens to the bag of marbles;

"Subsequently, 6 red marbles and 4 green marbles are added, such that the ratio of red to green marbles is now 3:4"

Leads to the fractional equation

[tex]\frac{r-1+6}{g+1+4}=\frac{3}{4}\implies \frac{r+5}{g+5}=\frac{3}{4}[/tex]

Since the first change to the bag was done without replacement. After rearranging, we get equation (2) [tex]4r-3g=-5[/tex]

So we need to solve the simultaneous equations for [tex]r[/tex] and [tex]g[/tex]

[tex]3r-2g=5\\4r-3g=-5[/tex]

Which gives [tex]r=25[/tex] and [tex]g=35[/tex]

Therefore, the ratio, [tex]r:g=25:35=5:7[/tex]

Another example of ratio word problems can be found in the link below:

https://brainly.com/question/11343888

Answer:

make y the subject of the formula

x=13(t-4y)

Step-by-step explanation:

y=mx+c  

⟹(y)−c=(mx+c)−c  

⟹y−c=mx+(+c−c)  

⟹y−c=mx+0  

⟹y−c=mx  

⟹mx=y−c  

⟹mx×(1m)=(y−c)×(1m)  

⟹x×(mm)=1m(y−c)  

⟹x×1=1m(y−c)  

⟹x=1m(y−c)

The subject of the formula for y is y = 13t / x(1 + 52/x).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given the equation as:

x = 13(t - 4y) / y

We have to make y the subject of the formula

x = 13(t - 4y) / y

Cross multiplication to get,

y = 13(t - 4y) / x

y = (13t - 52y) / x

y = 13t / x - 52y / x

Now group the y terms together and we get

y + 52y / x = 13t / x

The factor out the y to get

y(1 + 52/x) = 13t / x

y = 13t / x(1 + 52/x)

Therefore, the subject of the formula for y is y = 13t / x(1 + 52/x).

Learn more about the equation here:

brainly.com/question/13947055

#SPJ2

Step-by-step explanation:

the slope intercept form of line equation is

y = ax + b

a is the slope of the line. it is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-intercept (the y value when x = 0).

so, we have the equations

y = -2x -5

y = (-1/4)x + 1

y = 2x

Answer:

A

Step-by-step explanation:

4×-12

Answer is letter A

hope it help^^

Answer:

Step-by-step explanation:

There are 120 members of the band at Erin's school. 45% of the members are 7th graders. How many members are 7th graders.

you simply have to find 45% of 120

120 : 100 * 45 = 54

Answer:

it depends on how much Annika has and if she is willing to give Susan money

Step-by-step explanation:

I could have answered properly but i do not understand the question it just states that, look below

How much money should Annika give Susan?

Answer:

Answer is graph A

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

7 : 6 is the ratio

Step-by-step explanation:

14 apples were green and 12 apples were red, so divide both terms by 2.

14 ÷ 2 = 7

12 ÷ 2 = 6

Therefore:

14 : 12 = 7 : 6.

Answer:

-1/2

Step-by-step explanation:

take two points and apply

(8-7)/(0-2)=1/-2=-1/2

Answer:

i think -4>-5

Step-by-step explanation:

because (-4)is greater than (-5)

Answer:

(7, 4)

Step-by-step explanation:

In this case, where we reflect W(7, -4) over the x-axis, the x-coordinate of the reflection is the same:  7.  But the -4 becomes +4 through this reflection.

Reflected point is (7, 4)

Answer:

58ft

Step-by-step explanation:

100-60=40

40+18=58

the answer is 58ft

(brainliest plz)

It's the second one

-40 cuz that's the fee

Answer:

C = 21 + 40t

Step-by-step explanation:

C = initial + variable

The cost, C will be the initial price which is however much money it cost to just print t-shirts for 21 members plus the variable which is the extra 40 for each shirt.

Hope I helped!

Answer:

−2.

Step-by-step explanation:

y = 4 − 2x? b is the y -intercept. Here, 4 is b and −2 is m. Therefore, the slope is −2.

Answer:

There are none.

Step-by-step explanation:

No calculus involved:

The line, in slope-intercept form, has equation [tex]y=-10x+17[/tex], ie is always decreasing (easy to spot applying the definition)

Meanwhile, [tex]y=e^{5x}[/tex] is always increasing over its domain.

At no point the tangent will be decreasing.

Let's use calculus

We are to solve the equation [tex]y'(x) = -10 \rightarrow 5e^{5x} = -10 \rightarrow e^{5x}=-2[/tex] which has no real solutions.

[tex]probablity = \frac{271}{273} \\ = 0.99267399267[/tex]

Answer: Account A

Step-by-step explanation:

Answer:

The discount is list price minus the sale price then divided by the list price and multiplied by 100 to get a percentage. Where: L = List Price. S = Sale Price

Answer:

-.222

Step-by-step explanation:

Hey there!

To find the decimal form of a number you have divide the numerator (top number) from the denominator (bottom number) and you should have your result then

a / b

= a ÷ b

= result

Equation: -2/9

= -2 ÷ 9

= -0.222222

Answer: -0.222222

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

y 1 = StartFraction log x Over log 0.5 EndFraction, y 2 = StartFraction log 2 Over log 3 EndFraction + x

Answer: 32000

Step-by-step explanation:

12000 divided by 3 =4000

4000 x 8 =32000

Answer:

X = 17

Step-by-step explanation:

Mid segment theorem: the segment joining the midpoints of two sides of a triangle is half the length of the third side.

Answer:

96 cm^3

Step-by-step explanation:

multiply the three dimensions: 4*6*4=96

Answer:

V=l×W×h

=4cm×6cm×4cm

=96cm cubic

Answer:

-27/64p^3  

Tell me if you want a step by step. :)

Answer:

why didn't nobody answer this its so many points

Step-by-step explanation:

3.5 + 5 + 4 + 8.5 = 21