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
-9 more than a number results in -20
Answers
Answer:
-11
Step-by-step explanation:
-20-(-9)= -11
‼️Help please‼️
A tank full of water is leaking at a constant rate for 30 minutes. The equation y= -7x + 300 gives the amount of water in the tank, where y is the number of liters and x is the number of minutes since the tank began to leak. Which statement is true?
Answers
Answer: A
The answer should be A. you probably answered the questoion alr so sorry if you got it wrong
Step-by-step explanation:
it should be A because its not C and D, and B doesnt make sense because it never mentioned anything about 20 minutes.
Bob uses 16 planks of wood to make 4 beehives. How many planks of wood will he need to make 9 beehives?
Answers
Answer:
36
...................................
.
.
.
.
.
.
.
.
.
.
.
..
-10-2r=-3r-7+r how many solutions does this equation have will mark brainlest
Answers
Answer:
no solution
Step-by-step explanation:
Help me PLEASE ixlllll
Answers
x/6+12=(-12). solve for x
Answers
Answer:
x=-144
Step-by-step explanation:
[tex]\frac{x}{6} +12=-12[/tex] subtract 12 on both sides
[tex]\frac{x}{6}=-24[/tex] multiply by six
x=-144
A rectangle has a perimeter of 100 inches, and
one side has length x. Express the area of the
rectangle as a function of x.
Use the function in part a to find the dimensions of the rectangle with permitter 100 inches and the largest possible area
Answers
Answer:
a. A = 50x - x² b. length = 25 inches and width = 25 inches and the maximum area is 625 in²
Step-by-step explanation:
a. The perimeter of a rectangle P = 2(L + W) where L = length and W = width. Now, given that P = 100 inches and W = x, substituting these into the equation, we have
P = 2(L + W)
100 = 2(L + x)
dividing both sides by 2, we have
100/2 = L + x
50 = L + x
making L subject of the formula, we have
L = 50 - x
Now, the are of a rectangle A = LW. Substituting the values of L and W, we have
A = LW
A = (50 - x)x
A = 50x - x²
b. To find the largest possible area of rectangle with perimeter 100 inches, we differentiate A and equate it to zero to find the value of x that maximizes A.
So, dA/dx = d(50x - x²)/dx
dA/dx = d50x/dx - dx²/dx
dA/dx = 50 - 2x
dA/dx = 0 ⇒ 50 - 2x = 0
50 = 2x
dividing both sides by 2, we have
x = 50/2
x = 25
To find it this gives maximum value for A, we differentiate A twice.
d²A/dx² = d(50 - 2x)/dx
d²A/dx² = d50/dx - d2x/dx
d²A/dx² = -2
Since d²A/dx² = -2 < 0, so x = 25 gives maximum value for the area, A.
Since W = x = 25 in and L = 50 - x. So, L = 50 - 25 = 25 in
So, the maximum area A = LW = Lx = 25 in × 25 in = 625 in²
The dimension with perimeter 100 inches that give maximum area are length = 25 inches and width = 25 inches and the maximum area is 625 in²
²[tex]2x^2-1414x=24[/tex]
Answers
Round 5949.69836527 to the nearest hundredth.
rounding numbers
Answers
Answer:
It would be 5949.70
Step-by-step explanation:
The hundreds place is the first two number after a decimal point. In this case it would be 6 and 9. Now if were rounding to the hundredths, you would look at the number right after 9 to see if you could round up. That number happens to be an 8, and if that number is greater than 5, than it will round up the number before it. Now since 8 would round up nine, that would make it a 10, but that can not happen, so you would have to round up the first number as well, which would give you .70.
Answer:
5949.70
Step-by-step explanation:
Yes, I know this is a bagillion years late, but I was bored so I'm just answering random questions lol. Have a nice day :)
Tell me a fun fact about horses will give BRAINLIEST to whoever tells me something I don’t know (I have been riding for 12 years) so I know a lot of things (also don’t tell me they can sleep standing up I already know that it’s kinda obvious)
Answers
Here are a few fun facts:
A 19th century horse named 'Old Billy' is said to have lived 62 years.
Horses can sleep both lying down and standing up.
Horses can run shortly after birth.
Horses have around 205 bones in their skeleton.
Horses have been domesticated for over 5000 years.
Horses use their ears, eyes and nostrils to express their mood.
Because horse’s eyes are on the side of their head they are capable of seeing nearly 360 degrees at one time.
The fastest recorded sprinting speed of a horse was 88 kph (55 mph). Most gallop at around 44 kph or 27 mph.
The Przewalski’s horse is the only truly wild horse species still in existence. The only wild population is in Mongolia. There are however numerous populations across the world of feral horses e.g. mustangs in North America.
I hope you learned something new!
I have to order it from least to greatest in absolute value, and i dont get it can anyone help?
Answers
Answer:
ight A on top since it's the cmallest followed by B,C,D,E
Step-by-step explanation:
The image of the point (9,0) under a translation is (7,4). Find the coordinates of
the image of the point (0,8) under the same translation.
Answers
Answer:
(-2, 12)
Step-by-step explanation:
please answer quickly!!
Answers
Answer:
A: 49 cents B: 46 cents
Step-by-step explanation:
Mary is buying hair clips online. The online store charges a fee for each hairclip and a shipping fee. On Monday, Mary placed an order for 8 hairclips, and her total came to $33.75. On Friday, she placed an order for 11 hair clips, and her order came to $44.25. Find the price of each hair clip and the price of shipping.
Answers
4x19(clips total)= 76
78-76=2
2/2=1
so $1 for shipping for each order and $4 a clip
Perform the indicated operations:
-1
4
-4
4
-4
-1
6
-7
-4
-7
-4
2R2 + R3 R3
-4
6
2
-4
8
2
6
-4
30
Answers
Answer:
Step-by-step explanation:
The solution is, resulting matrix:[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\0&8&10\end{array}\right][/tex][tex]\left[\begin{array}{ccc}-7\\-4\\22\end{array}\right][/tex].
What is Matrix?In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object. For example, is a matrix with two rows and three columns.
here, we have,
given that,
We are given a matrix,
Let A=[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\8&-4&6\end{array}\right][/tex]
and B=[tex]\left[\begin{array}{ccc}-7\\-4\\30\end{array}\right][/tex]
We have to find the resulting matrix after performing given row operations
2R2 +R3 ⇒ R3
Apply
we get,
:A=[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\0&8&10\end{array}\right][/tex]
and, B=[tex]\left[\begin{array}{ccc}-7\\-4\\22\end{array}\right][/tex]
Hence, resulting matrix
[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\0&8&10\end{array}\right][/tex][tex]\left[\begin{array}{ccc}-7\\-4\\22\end{array}\right][/tex]
To learn more on matrix click:
brainly.com/question/30646566
#SPJ7
Please Help Me, Answer The Questions and I give you 100 Brainly Points
Answers
Answer:
Whats the question??? and then i can help you>>
Step-by-step explanation:
The ratio of boys to girls at a movie is 3:4 . If there are 16 girls , how many boys are at the movie?
Answers
Answer:
12 boys
Step-by-step explanation:
Set up a proportion: [tex]\frac{3}{4} = \frac{x}{16}[/tex] Cross multiply, then divide: 3 × 16 = 48, 48 ÷ 4 = 12I hope this helps!
Answer:
12
Step-by-step explanation:
A circle has a diameter of 50 cm. Which of these is closest to it's circumference.
A) 157 cm
B) 314 cm
C) 7,850 cm
D) 1,963 cm
Answers
Answer:
i know the circumference is 1.57 so it is A)
Step-by-step explanation:
The diagram shows a triangle.
3t
2t–50°
2t–50°
What is the value of t?
t =
Answers
7t-100=180
+100. +100
7t=280
t=40
If 7^9/7^n = 7^3, then n is___.
12
01
-3
3
Answers
Answer: 6, but it isn't in your answer choices
Step-by-step explanation: When dividing exponents with the same base, subtract the bottom exponent from the top. In this case, you get 3 from subtracting n from 9, so n should be 6
Evaluate 7(-4) - |-6| + |4|
Answers
Answer:
-30
Step-by-step explanation:
7x-4=-28-6=-34+4=-30
Pls mark as brainliest!!!!!
Answer:
The answer for this is -30.
Step-by-step explanation:
Basically, you start out with solving the equation from left to right (as always). First, you multiply 7* -4, and you get -28. Then you have -28 - |-6| + |4|. Now, |-6| is equal to 6, since it's the absolute value of -6. |4| is equal to 4 for the same reason as well. That leaves you with -28 - 6 + 4. Now you just solve left to right. -28 - 6 is -34, so then you have -34 + 4, which is equal to -30.
Hope that helped!
Click the picture link below for the problem!
THANKS
Answers
Answer:
2
Step-by-step explanation:
The slope of the line is equal to 2. The slope of a line is rise over run, or change in y over change in x. From one point to another on this line y increases by 2 and x increases by 1, which would be 2/1 or just 2. This slope or any other slope greater than 1 or less than -1 makes the line steeper. Another way to find slope is through the slope formula which is [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex], to use this plug in any two points and solve.
Answer:
The slope is a 2/1 slope.
Step-by-step explanation:
If you look at the slope and pick 2 points, let's say (1,1) and (2,3)
find the difference between the two points by y2-y1/x2-x1
The equation would be 3-1/2-1
The answer to the slope would be 2/1.
There are 76 people signed up for a speedboat tour. Each speedboat can transfer 9 people. How many speedboats will be needed for the people who signed up?
Answers
Given:
Total number of people who signed up = 76
Each boat can transfer = 9 peoples
To find:
The number of boats required.
Solution:
We know that,
[tex]\text{Required number of boats}=\dfrac{\text{Total number of peoples}}{\text{Number of peoples transferred by each boat}}[/tex]
On substituting the values, we get
[tex]\text{Required number of boats}=\dfrac{76}{9}[/tex]
[tex]\text{Required number of boats}=8.44...[/tex]
Number of required boats must be a whole number. So, approximate the data to the next whole number.
[tex]\text{Required number of boats}=9[/tex]
Therefore, the required number of boats is 9.
Write the equation in Standard Form. y = -2x + 5*
0 2x + y = 5
O 2x + y = -5
O 2x - y = 5
O-2x + y = 5
Answers
Answer:
2x + y = 5Step-by-step explanation:
Standard form is:
ax + by = cGiven
y = -2x + 5Converting to standard form
y = -2x + 5 2x + y = 2x - 2x + 52x + y = 5Correct option is the first one
3(10 - x) = 21
30 -
21
30 - 3x
= 21
- 3x
- 3x
-9
=
X =
Answers
Answer:
x=3
hope this answers is ok na
Step-by-step explanation:
I am answering blanks left to right and top to bottom.
3x
30 30
-9
-3 -3
x = 3
plz help
Simplify:
- 1.2+15.45
Answers
Answer:
- 1.2+15.45=14.43
Step-by-step explanation:
Write the number 76,689 in expanded form
Answers
$59.99 DVD box set, 6.5% tax
Answers
Answer:
$63.89
Step-by-step explanation:
59.99 * 6.5% = 3.89935. we can round that to $3.90.
59.99 + 3.90 = $63.89 total
Answer:
$3.90
Step-by-step explanation:
6.5% of $59.99 is $3.90.
Feel free to give brainliest.
Have an outstanding day!
HELP PLSS
What is the slope of the line that passes through the points (-2, -5) and (6, 7)?
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]slope = \frac{7 - ( - 5)}{6 - ( - 2)} \\ [/tex]
[tex]slope = \frac{7 + 5}{6 + 2} \\ [/tex]
[tex]slope = \frac{12}{8} \\ [/tex]
[tex]slope = \frac{4 \times 3}{4 \times 2} \\ [/tex]
[tex]slope = \frac{3}{2} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
3/2
Step-by-step explanation:
use the slope formula to solve
y2-y1 is 7- (-5) = 12
x2-x1 is 6- (-2) = 8
the formula is y2 -y1 over x2-x1 so
12/8
simplify it to 3/2 (fraction answer)
convert it to decimal if needed: 1.5 (decimal answer)
HELP ME PLEASE: I WILL GIVE BRAINLIEST AND IT IS 20 POINTS
Answers
Answer:
0
Step-by-step explanation:
any log with a base of one and it becomes logv5 (1) after logv5(logV3 (3) because log3(3) equal one so then logv5 (1) is 0