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:
[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]
Answer:
3/2 :)
Step-by-step explanation:
Related Questions
( √-5+2 √20) ( -√-5)
Answers
Answer: 5 - 20 i
Step-by-step explanation:
Need ASAP
....................
Answers
Answer:10/15
Step-by-step explanation:10 divided by 5=2
15 divided by 5=3 in words 10/15 is simplified to 2/3
A librarian sorts 450 books at a constant rate. After 4 days, the librarian still has 150 books to sort. How much time does it take to sort the books from start to finish?
Answers
Answer:
6 days
Step-by-step explanation:
hope this helps
A librarian sorts 450 books at a constant rate. After 4 days, the librarian still has 150 books to sort. Then 6 days time does it take to sort the books from start to finish
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The librarian sorted at a constant rate, then they sorted the same amount of books all 4 days.
450-150=300
If they still have 150 books left to sort, then they sorted 300 books over 4 days.
300/4=75
This means that they sorted 75 books per day.
150 divided by 75 is 2
So it will take 2 more days to finish sorting all the books.
So altogether, it will take 6 days to sort all of the books.
Hence 6 days time does it take to sort the books from start to finish
To learn more on Equation:
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Write an equation of the line passing through the point (6, 3) that is perpendicular to the line 6x + 5y = 10
An equation of the line is
y=?
Answers
Answer:
[tex]y=\frac{5}{6}x-2[/tex]
Step-by-step explanation:
Let the equation of a line passing through a point [tex](x_1,y_1)[/tex] and slope [tex]m_1[/tex] is,
[tex]y-y_1=m_1(x-x_1)[/tex]
Equation of the second line has been given as,
6x + 5y = 10
Slope-intercept form of the equation will be,
5y = -6x + 10
y = [tex]-\frac{6}{5}x+10[/tex]
Here slope of the line [tex]m_2=-\frac{6}{5}[/tex]
If both the lines are perpendicular,
By the property of perpendicular lines,
[tex]m_1\times m_2=-1[/tex]
[tex]m_1\times (-\frac{6}{5})=-1[/tex]
[tex]m_1=\frac{5}{6}[/tex]
Therefore, equation of the line passing through (6, 3) and slope = [tex]\frac{5}{6}[/tex] will be,
y - 3 = [tex]\frac{5}{6}(x-6)[/tex]
y = [tex]\frac{5}{6}x-5+3[/tex]
[tex]y=\frac{5}{6}x-2[/tex]
What is the value of (3.4)2
Answers
Answer:
The answer is 6.8
Step-by-step explanation:
2(3.4) means 2 times 3 point 4
3.4 + 3.4 = 6.8
please help I am doing a timed test I will choose brainliest
Write the standard form of the equation of a line with a slope of 3 passing through the point (-5, -6).
Select one:
a. -x + 3y + 13 = 0
b. -3x + y - 9 = 0
c. 3x - y + 9 = 0
d. x - 3y - 13 = 0
Answers
Step 1: We need to first find the equation of the line in slope-intercept form by finding b, or the y-intercept.
[tex]-6 = 3(-5) + b\\\\-6 = -15 + b\\\\9 = b[/tex]
Step 3: We now need to write the equation of the line in slope-intercept form.
[tex]y = 3x + 9[/tex]
Step 3: Now we convert the above equation from slope-intercept form to standard form.
[tex]y = 3x + 9\\\\-3x + y = 9\\\\-3x + y - 9 = 0[/tex]
Our equation in standard form is: B. -3x + y - 9 = 0.
please please please help me
\(f(x) = \left\{
x + 4 x < 5
8 5 <_ x < 7
2x - 1 7 <_ x <_ 10
\right.\)
For f(x) evaluate the following
a. f(0)
b. F(6)
show all your work
Answers
Answer:
Answer: x = 0 and x = ±3. Solution: Write f(x) = g(x) h(x) ... us f (−4) ≈ 5,f (2) ≈ −7,f(0) ≈ 5,f(2) ≈ −8 and f(4) ≈ 6 which also agrees with.
Step-by-step explanation:
Answer: x = 0 and x = ±3. Solution: Write f(x) = g(x) h(x) ... us f (−4) ≈ 5,f (2) ≈ −7,f(0) ≈ 5,f(2) ≈ −8 and f(4) ≈ 6
And what you sed up there was just some words and simols so im prety sure rhis is it
Answer:
Bet.
Step-by-step explanation:
I need someone to pls pls help me on these
Answers
Answer: add my intagram Its_yo_boy_Jonathan65
Step-by-step explanation:
HELP RIGHT NOW PLEASE! The perimeter of the rectangle below is 94 units. Find the length of side PS. Write your answer without variables
Answers
Answer:
22
Step-by-step explanation:
so permeter of a square is the sum of all the sides
94=5x+5x+4x+2+4x+2
so x=5
then simply subistitue 5 in 4x+2
4(5)+2
=22
an initial amount of $55,000 is invested in an account with interest compounded continuously the interest rate is 10% find the value of the account after 14 years
Answers
P = $55,000 r= 0.10 t= 14 years
A = 55,000(1+(0.10)(14) = 55,000(2.4)
A = $132,000 after 14 years
What is the remainder when 73,847 is divided by 43? Enter your answer as a whole number in the box
Answers
Answer:
The Answer is 16.
Step-by-step explanation:
I took the test. I hope this helped! :)
The remainder when 73,847 is divided by 43 will be 16.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The mathematical expression is,
''73,847 is divided by 43''
Now,
Find the remainder when 73,847 is divided by 43 as;
43 ) 73,847 (1717
- 43
--------
308
- 301
-------
74
43
-------
317
- 301
------
16
Thus, The remainder when 73,847 is divided by 43 will be 16.
Learn more about the division method visit:
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What is the slope of the line that passes through (5, 4) and (7, 10) ?
A 3
B -3
C 2
D
-2
Answers
Answer:
3
Step-by-step explanation:
You would first plug in the points to the slope formula which is as follows:
m = y2 - y1 / x2 - x1
When you plug it in, it should look as follows:
m = 10 - 4 / 7 - 5
You should now add like terms.
m = 6/2
You should now simplify.
m = 3
Nadia charges $5.50 an hour for babysitting. She babysits 19.50 hours the first week of the month and 19 hours the second week of the month. Suppose Nadia raises her rate by $0.55 an hour. How many hours would she need to work to earn the same amount of money she made in the first two weeks of the month? Complete the explanation and give your answer. Nadia's new hourly rate is $ . She would need to work hours in the next two weeks to make the same amount she made in the first two weeks.
Answers
Answer:
Step-by-step explanation:
ind her earnings for the first two weeks of the month at the $5.50 an hour rate.
5.50 × (18 + 20.50) = 5.50 × 38.5
= 211.75
She earned $211.75 the first two weeks of the month.
Find her new hourly rate, if she raises her rate by $0.55.
5.50 + 0.55 = 6.05
Her new hourly rate is $6.05.
Find how many hours she would need to work at $6.05 an hour in order to earn $211.75.
211.75 ÷ 6.05 = 35
She would need to work 35 hours.
¿Cual es la influencia de los movimientos sociales en la consolidación de la democracia en El Salvador sociales
Answers
Answer:
The influence is there is none
Step-by-step explanation:
What is the slope for y = 4 + 3x? *
Your answer
Answers
Answer:
3
Step-by-step explanation:
What is the rate of inflation if an account has a nominal interest rate of 4.2% and a real interest rate of 2.8%
A. 1%
B. 1.8%
C. 2.4%
D. 1.4%
Answers
Answer:
Rate of inflation = 1.4%
Step-by-step explanation:
Given:
Nominal interest rate = 4.2%
Real interest rate = 2.8%
Find:
Rate of inflation
Computation:
Rate of inflation = Nominal interest rate - Real interest rate
Rate of inflation = 4.2% - 2.8%
Rate of inflation = 1.4%
Solve: 4-(9g-5)=-27 please help
Answers
Answer:
-2
Step-by-step explanation:
9g-4-5=-27
9g-9=-27
Add 9 to both sides
9g=-18
g=-2
Answer:
-18
if you need more info. just search up you question on Google and click the first link
1) f(x) = - x2 + 4x - 10
Find f(5)
Answers
-(5)2 + 4(5) - 10 = 0
Find the slope with the given coordinates (9,-4) (-2,3)
Answers
Answer:
the slope is-7/11
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=3-(-4)/(-2)-9
m=7/-11
m=-7/11
solve of system of equation.
9x + 2y = -38
9x+10y=26.
Answers
Answer:
(-6 , 8 )
Hope this helps!
Which line fits the scatter plot better?
Answers
A bag contains 95 blue marbles, 7 red marbles, and 5 green marbles. One marble is randomly
chosen. Select all true statements about the marble chosen.
A It is certain that the marble was blue.
B. It is unlikely that the marble chosen was green.
C. It is unlikely that the marble chosen was orange.
D. It is likely that the marble chosen was blue.
E It is not possible that the marble chosen was green.
E It is neither likely nor unlikely that the marble chosen was red.
Answers
Answer:
B,D, and the last E
Step-by-step explanation:
A $45,000 car depreciates (goes down) 12% each year. How much does the car decrease by the end of the first year?
Answers
Answer: 39,600
This is what the cars value is after 1 year.
Answer:
Step-by-step explanation:
45,00 -12% =39,600
the question HOW MUCH DOES THE CAR DECREASE is asking by how much does the car decrease so 45,000 -39,600
which =5,400
hope this helps!
can I get brainliest please?
Help please I am in dire need
Answers
Answer:
Answer is d=9t.
Step-by-Step:
4.5/.5=9
6.75/.75=9
13.5/1.5=9
In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs. Write and solve a proportion to find the number c of cats? I need help ASAP ...
Answers
Answer:
5 = 25
3 = 15
Step-by-step explanation:
25/5 = 5
So, 5 x 5 = 25
3 x c =
Then, 3 x 5 = 15
5 = 25
3 = 15
x + 2x + 12y + 4 I don't know the answer can someone help me please
Answers
Answer:
The asnwer is 3x + 12y + 4
Answer:
I think you wrote it wrong but if not here
Step-by-step explanation:
Simplifying
2x + -12y = 4
Solving
2x + -12y = 4
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '12y' to each side of the equation.
2x + -12y + 12y = 4 + 12y
Combine like terms: -12y + 12y = 0
2x + 0 = 4 + 12y
2x = 4 + 12y
Divide each side by '2'.
x = 2 + 6y
Simplifying
x = 2 + 6y
ethansledd17 come here! what is 300 divided by 5?
Answers
Answer:
60
Step-by-step explanation:
5 more than twice a number n
Answers
Answer:
2n + 5
Step-by-step explanation:
Twice a number (n): 2nFive more than twice a number: 2n + 5I hope this helps!
-4x 3 y 2(7xy 4) i need help
Answers
Answer:
−672x2y2
Step-by-step explanation:
The answer is:
-28x^4y^6
Combine and simplify the following radical expression. (2^3 square root 12)(3^3 square root 2)
Answers
Answer:
(2^3 square root 12)(3^3 square root 2)(32 square root)
Step-by-step explanation:
i lie
Answer:
432
Step-by-step explanation:
I checked it trust me