H shows the ratio of pencils to pens sold at the school bookstore. If the bookstore sells 15 pencils, what is the ratio of pencils to pens sold written as a fraction?

Answers

Answer 1

Answer:

[tex]Ratio = \frac{3}{2}[/tex]

Step-by-step explanation:

See attachment for complete question.

We start by solving for the equation of the graph (The graph shows a linear equation)

Represent pencils with x and pen with y

From the graph, we have that:

[tex](x_1,y_1) = (6,4)[/tex]

[tex](x_2,y_2) = (12,8)[/tex]

Solve for slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{8 - 4}{12- 6}[/tex]

[tex]m = \frac{4}{6}[/tex]

[tex]m = \frac{2}{3}[/tex]

The equation is calculated using:

[tex]y - y_1 = m(x - x_1)[/tex]

Where

[tex]m = \frac{2}{3}[/tex]

[tex](x_1,y_1) = (6,4)[/tex]

[tex]y - 4 = \frac{2}{3}(x - 6)[/tex]

[tex]y - 4 = \frac{2}{3}x - \frac{2}{3} * 6[/tex]

[tex]y - 4 = \frac{2}{3}x - \frac{2 * 6}{3}[/tex]

[tex]y - 4 = \frac{2}{3}x - \frac{12}{3}[/tex]

[tex]y - 4 = \frac{2}{3}x - 4[/tex]

Add 4 to both sides

[tex]y - 4 +4= \frac{2}{3}x - 4 + 4[/tex]

[tex]y= \frac{2}{3}x[/tex]

Now, to the question.

When pencils is 15 implies that

[tex]x = 15[/tex]

Solving for x, we have:

[tex]y= \frac{2}{3}x[/tex]

[tex]y= \frac{2}{3} * 15[/tex]

[tex]y= \frac{2* 15}{3}[/tex]

[tex]y= \frac{30}{3}[/tex]

[tex]y= 10[/tex]

i.e. Pen = 10

Ratio = x ; y

[tex]x : y = 15 : 10[/tex]

Convert to fraction

[tex]\frac{x}{y} = \frac{15}{10}[/tex]

Simplify

[tex]\frac{x}{y} = \frac{3}{2}[/tex]

Hence,

[tex]Ratio = \frac{3}{2}[/tex]

H Shows The Ratio Of Pencils To Pens Sold At The School Bookstore. If The Bookstore Sells 15 Pencils,
Answer 2

Answer:

3/2 :)

Step-by-step explanation:


Related Questions

Zombies scare everyone and a mummy is much like a zombie. In fact, their equations are parallel to each other. If the zombie equation is `y=7x+5` and the mummy equation passes through the point (3, 23), what is the mummy's equation?

Answers

Answer

y=7x+2

Step-by-step explanation:

you have your slope already so keep slope but remove 5 and turn it into b in order to solve for new equation ...

y=7x+b

sub in (3,23) in your equation

23=7(3) +b

23=21 +b

23-21=b

2=b

your new equation should be y=7x+2

Answer:

y=-1/7+23 3/7

Step-by-step explanation:

Since it's parallel you take the y=7x+5 and the 7 is turned into -1/7(to find what's PARALLEL)

Now you put it into point slope formula to get: y-3=-1/7(x-3)

Simplify the equation.

Hope this helps(^-^)

Jada makes sparkling juice by mixing 2 cups of sparkling water with every 3 cups of apple juice. How much sparkling water does Jada need if she uses 8 coups of sparkling water.

Answers

Answer:

Step-by-step explanation:

2 cups of sparkling water with every 3 cups of apple juice = sparkling juice

Sparkling water : apple juice

2 : 3

How much sparkling water does Jada need if she uses 8 cups of apple juice.

Sparkling water : apple juice

x : 8

Equate both ratios

2 : 3 = x : 8

2/3 = x / 8

2*8 = 3*x

16 = 3x

x = 16 / 3

= 5.33 cups

Sparkling water = 5.33 cups

How much apple juice does Jada need if she uses 8 cups of sparkling water

Sparkling water : apple juice

8 : y

Equate both ratios

2 : 3 = 8 : y

2/3 = 8 / y

Cross product

2 * y = 3 * 8

2y = 24

y = 24 / 2

= 12

y = 12

Apple juice = 12 cups

NOTE: There is an error in your question, you wrote "How much sparkling water does Jada need if she uses 8 coups of sparkling water." but I solved for both sparkling water and apple juice using 8 cups since your question was not clear enough.



Yesterday, Jack drove 31 1/2 miles. He used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon.?

Answers

Answer:

25.2 miles per gallon

Step-by-step explanation:

the easiest way to solve would be to set this up as fractions

help me please The total number of students who could attend a field trip is represented by the variablet. The number of students in Group A is less than the number in Group B. Group A has 6 students more than the total number of students, while Group B has 3 less than the total number of students. Which inequality represents this situation?

O ¼t + 6 < t – 3

O (¼ + 6)t < t – 3

O ¼t + 6 < 3 – t

O 6t + ¼ < t – 3

Answers

Answer:

1/4 +6<t-3

Step-by-step explanation:

the answer is tahta

Answer: I think it is the first answer

Step-by-step explanation:

Group A = < Group B

Group A has 6 more than total so 1/4t+6

Group B has 3 less than total so t-3

136 = -8(1 + 6v)
Help

Answers

Use distributive property
136 = -8 + -48v
-8 - 48v = 136
Add 8 to both sides
-48v = 144
Divide both sides by -48
v = -3

Answer:

-3

Step-by-step explanation:

136 = -8(1+6v)

136 = -8 - 48v

136 + 8 = -48v

144 = -48v

144/ -48 = v

-3 = v

The graph shows the relationship between the number of gallons of gas that are purchased and the total cost

Answers

Answer:

962.5 is the answer

Step-by-step explanation:

One gallon cost 2.5 dollars and according to this 1*2.5=2.5+2*5=10........

The relationship between no. of gallons and the total cost of purchasing is in a linear relationship.

What is a linear relationship ?

A linear relationship between two variable is when one variable is increased or decreased by some constant this results in same amount of increase or decrease in the another variable.

According to the given data

The relationship between the number of gallons of gas that are purchased and the total cost is in linear relationship.

A linear relationship forms when increasing a variable k times results in increase of k times on the another variable and same is for decrease.

We can observe when x = 1, y = 2.5.

Now suppose k is 10

∴ x = 1k and y = 2.5k

  x = 10 and y = 25. Which is already given in the diagram showing a linear relationship.

Learn more about linear relationship here :

https://brainly.com/question/10713055

#SPJ6

3 4 (x−12)=12 whats the answer tehe

Answers

Answer:

x= 12 6/17

Step-by-step explanation:



Resolver esta ecuación

Answers

Answer:

Step-by-step explanation:

f(x)/g(x) = (x+6)/[(x+6)(x-6)]

Cancel (x+6)

Answer is 1/(x-6)

solve for f. -11f = 7(1 - 2f) + 5

Answers

Answer:

F = 4

Step-by-step explanation:

−11f=7−14f+5

−11f=−14f+12

−11f+14f=12

3f=12

f=

​3

​12

​​

f=4

Answer:

f=  

23/14

=1.643

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

-11-(7*(1-2*f)+5)=0

-11 -  (7 • (1 - 2f) +  5)  = 0

14f - 23  = 0

3.1      Solve  :    14f-23 = 0  

Add  23  to both sides of the equation :  

                     14f = 23

Divide both sides of the equation by 14:

                    f = 23/14 = 1.643

Find the side indicated by the variable. Round to the nearest tenth.
PLEASE HELP

Answers

Answer:

I think it would be 10.1 but I'm not 100% sure

The temperature in Alaska dropped –50.16°C in 5.7 hours. How much did the temperature drop per hour? 5.7°C 8.8°C –5.7°C –8.8°C

Answers

-8.8 because -50.16\5.7= -8.8

Answer:

–8.8°C

Step-by-step explanation:

The perimeter of the rectangle is 42 inches. Find the value of x.

Answers

Answer:

x=3

Step-by-step explanation:

(5x*2)+ ((x-3)2)=42

10x+2x-6=42

12x-6=42

    -6  -6

12x=36

x=3

Answer:

x=3

Step-by-step explanation:

(5x*2)+ ((x-3)2)=42

10x+2x-6=42

12x-6=42

   -6  -6

12x=36

x=3

can someone help me with this asap.​

Answers

Answer:

fourth option

Step-by-step explanation:

Given

3x < - 9 ( divide both sides by 3 )

x < - 3

solution set is { x | x < - 3 }

how many yards are there in 5 miles?

Answers

Answer:

8800

Step-by-step explanation:

Answer:

8800 yards

Step-by-step explanation:

hope it helps

where the dot needa go ?

Answers

Answer:

where the green circle is where it goes

8. A yard is closest in distance to a
a. kilometer.
b. centimeter.
C. meter.
d. millimeter.

Answers

Answer:

meter

Step-by-step explanation:

Answer:

Meter

Step-by-step explanation:

Kilometer is too long

Centimeter is too shot

Millimeter is way too short

Meter is the closest to yard

1 meter equals 1.09361 yards

Can somebody help with my math gotta be serious about it tho!

Answers

Answer: ok

Step-by-step explanation:

Answer:

I can try to help

Step-by-step explanation:

It depends one the question and what math subject.

So ask the question and people should help.

please help! thank you​

Answers

(-3/7)x+3=y
Because the y intercept on the graph is 3
And when x is 1 y is 2.5

9514 1404 393

Answer:

  y = (-7/3)x +3

Step-by-step explanation:

The line has a negative slope (eliminating choices B and C) that is steeper than a line with a slope of -1, The only answer choice with a negative slope less than -1 is choice D.

__

The slope is the coefficient of x. It is "rise"/"run". Here, the line goes through grid points (0, 3) and (3, -4), so drops 7 units (rise=-7) for each 3 units to the right (run=3). Then the slope is rise/run = -7/3.

The line crosses the y-axis at y=3, so the slope-intercept equation is ...

  y = mx + b . . . . . . . . slope = m; y-intercept = b

  y = (-7/3)x +3

Can somebody plz correct me and answer number 35-36
WILL MARK BRAINLIEST

Answers

35 is greater than
36 is equal to

Answer:

35)The way to solve this is by making the decimal a fraction, 6tenths equals 6/10.

Now we find a common denominator,lets use 30.

multiply the 6/10 by 3 to get 18/30

multiply 2/3 by 10 to get 20/30

2/3 is greater than 0.6

Step-by-step explanation:

Write an equation of the line passing through point P(−8, 0) that is perpendicular to the line 3x−5y = 6.

Answers

Answer:

y = -5/3 * x - 40/3

Step-by-step explanation:

A perpendicular line has an opposite and a reciprocal of the slope.

Your equation should be:

-5y = -3x +6

Divide all parts by -5.

y = 3/5x - 6/5

Since the perpendicular line has an opposite and a reciprocal of the slope, the slope will be -5/3.

Now you must make an equation in point-slope form. This is an example of that form. You will need at least one point to make this equation work. In this case we have (-8,0).

In put the y and x coordinates like this:

y - 0 = -5/3(x - (-8)

Start solving the equation.

y - 0 = -5/3(x + 8)

y - 0 = -5/3 * x - 40/3

y = -5/3 * x - 40/3

This is your equation.

y = -5/3 * x - 40/3

(You can make it -5/3x in your answer but it looks weird online. You may think that it is -5 divided by 3 times x, but it actually is 5/3 times x. That's why I wrote it as y = -5/3 * x - 40/3)

9514 1404 393

Answer:

  5x +3y = -40

Step-by-step explanation:

When the equation of a line is given in standard form, the equation of the perpendicular line can be found by swapping the coefficients of x and y, and negating one of them.

Here, that means the equation ...

  3x -5y = constant

becomes

  5x +3y = new constant

The value of the new constant is found by putting the given point coordinates in the expression on the left:

  5x +3y = 5(-8) +3(0) = -40

The equation of the perpendicular line is ...

  5x +3y = -40

Which equation describes the line that has a slope of –2 and passes through the point (1,3)?

Answers

Answer:

y = -2x + 5

Step-by-step explanation:

Slope-intercept form is writen like this; y = mx + b. Where m = slope and b = y-intercept.

We know the slope, so, find the y-intercept.

y = -2x + b

3 = -2(1) + b

3 = -2 + b

5 = b

Put everything we know/solved for into the original formula.

y = -2x + 5

Best of Luck!

WORTH 15 POINTS!!!
Ok so people have told me before that you can’t post links here, but I’m pretty sure you can in the chat area. Please if you can send link of a good water fall and/or mountain painting. (And yes, i know there is gogle and you tube, I just can’t find anything good.)

Answers

Answer:

Hi, don't worry, I am not one of those persons who want to answer just because of points. Please look in the chat. Brainliest please...

Step-by-step explanation:

someone please explain

Answers

Explain what? What would you like help with? :)

Answer:

whats ur question

Step-by-step explanation:

Solve the equation -x-3<0 for x

Answers

x>-3 that’s the answer but it says i need 20 characters so just ignore this lol

Pl help me quickly!!!!!!!!!!!

Answers

Answer:

12% i thinkkkk

Step-by-step explanation:

Answer:

12 percent

Step-by-step explanation:

Amy has ridden 12 percent so far. You can just set up a proportion for this probelm

1 Set up equation 3/25 = %/100

2 Solve the equation by multiply 3 and 100 then divide by 25.

3 Finally your answer should be 12.%

pls mark brainliest because i didnt waste your time

To graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, 2). What is the slope of the line represented by 2x + 5y = 10?

negative StartFraction 5 Over 2 EndFraction
negative StartFraction 2 Over 5 EndFraction
StartFraction 2 Over 5 EndFraction
StartFraction 5 Over 2 EndFraction


please help

Answers

Answer:

negative StartFraction 2 Over 5 EndFraction

Step-by-step explanation:

2x +5y = 10

5y = - 2x + 10

y = - 2/5 x + 10

Equating it with y = mx + b

m = - 2/5

Answer:

-2/5

Cause i said so fools get the bread

Ada needs to make 140 egg tarts for the wedding. How many eggs should she buy from the store? Remember, her recipe makes 40 egg tarts by using 110 eggs.

Answers

Answer:

Ada should buy 385 eggs from the store.

Step-by-step explanation:

Given that you know that Ada can make 40 egg tarts using 110 eggs, you can use a rule of three to find the amount eggs to make 140 egg tarts:

40 egg tarts    →  110 eggs

140 egg tarts  →         x

x=(140*110)/40=385 eggs

According to this, the answer is that Ada should buy 385 eggs from the store.

How many pairs of angles are marked as congruent in the figures below?
pls answer real quick 20 points!!!!!!

Answers

Answer:2

Step-by-step explanation:According to the diagram,there is a single angle marking for one pair of angles V and M,a double angle marking for angles X and L.

Answer:

I got C. 2

Step-by-step explanation:

I finished the test ( :

Anyone else done with this online school stuff?

Answers

Answer:

yeah, I'm failing english ️

Please answer correctly !!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!

Answers

x° = 180° - 160°
= 20°
x = 20
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