Answer: \(\dfrac{3}{16},\ \dfrac{1}{2}, \dfrac{7}{2}\ \text{inch}\)
Step-by-step explanation:
Given
Javier created a table for the amount of water evaporated in each week
After two weeks, the amount of water evaporated is
\(\Rightarrow \dfrac{2}{16}+\dfrac{1}{16}\\\\\Rightarrow \dfrac{2+1}{16}=\dfrac{3}{16}\ \text{inch}\)
Total amount of water evaporated in four weeks is
\(\Rightarrow \dfrac{2}{16}+\dfrac{1}{16}+\dfrac{3}{16}+\dfrac{2}{16}\\\\\Rightarrow \dfrac{2+1+3+2}{16}=\dfrac{8}{16}\\\Rightarrow \dfrac{1}{2}\ \text{inch}\)
If Javier originally puts 4 inches of water, amount of water left in the bucket
\(\Rightarrow 4-\dfrac{1}{2}\\\\\Rightarrow \dfrac{4\times 2}{2}-\dfrac{1}{2}\\\\\Rightarrow \dfrac{8-1}{2}=\dfrac{7}{2}\ \text{inch}\)
What is the value of the expression? 28 – 16 ÷ 8 – 4 3 8 22 24
Answer:
28 – 16 ÷ 8 – 4382224 = -4382198
Step-by-step explanation:
Answer:
B. 8Step-by-step explanation:
Simplifying
28 + 12x = 8x + -4
Reorder the terms:
28 + 12x = -4 + 8x
Solving
28 + 12x = -4 + 8x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8x' to each side of the equation.
28 + 12x + -8x = -4 + 8x + -8x
Combine like terms: 12x + -8x = 4x
28 + 4x = -4 + 8x + -8x
Combine like terms: 8x + -8x = 0
28 + 4x = -4 + 0
28 + 4x = -4
Add '-28' to each side of the equation.
28 + -28 + 4x = -4 + -28
Combine like terms: 28 + -28 = 0
0 + 4x = -4 + -28
4x = -4 + -28
Combine like terms: -4 + -28 = -32
4x = -32
Divide each side by '4'.
x = -8
Simplifying
x = -8
25 % A. B. C. 12 Task #3: Which question best describes the diagram above? Answer the question. 120 is 25% of what? 25% of 120 is what? 6 is what percent of 120? 120 is what percent of 25? D. OP
(A) 120 is 25% of 500.
(B) 25% of 120 is 30.
(C) 6 is 5 percent of 120
(D) 120 is 500 percent of 25
What is percentage?Percentage is a part of the whole number. It is denoted by % sign.
1 %= 1/100.
(A)
Let 120 is 25 % x,
125 = (25/100) x
x = 500
(B)
Let 25% of 120 is x,
(25/100) x 120 = x
x = 30
(C)
Let 6 is x percent of 120.
6= (x/100) 120
x = 5
(D)
Let 125 is x percent of 25.
125 = 25 (x/100)
x = 500
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Dividends Per Share Seventy-Two Inc., a developer of radiology equipment, has stock outstanding as follows: 60,000 shares of cumulative preferred 3% stock, $20 par and 400,000 shares of $25 par common. During its first four years of operations, the following amounts were distributed as dividends: first year, $32,000; second year, $72,000; third year, $80,000; fourth year, $100,000. Determine the dividends per share on each class of stock for each of the four years. Round all answers to two decimal places. If no dividends are paid in a given year, enter "0.00".
The dividends per share on each class of stock for each of the four years for Seventy-Two Inc. are as follows:
Cumulative Preferred Stock:Year 1 Year 2 Year 3 Year 4
Distributed Dividends $32,000 $40,000 $36,000 $36,000
Outstanding shares 60,000 60,000 60,000 60,000
Dividend per share $0.53 $0.67 $0.60 $0.60
Common Stock:Year 1 Year 2 Year 3 Year 4
Distributed Dividends $0 $32,000 $44,000 $64,000
Outstanding shares 400,000 400,000 400,000 400,000
Dividend per share $0 $0.08 $0.11 $0.16
Data and Calculations:3% Cumulative Preferred Common Stock
Outstanding shares 60,000 400,000
Par Value $20 $25
Total value $1,200,000 $10,000,000
Annual dividend $36,000 ($1,200,000 x 3%)
Year 1 Year 2 Year 3 Year 4
Distributed Dividends $32,000 $72,000 $80,000 $100,000
Cumulative Preferred $32,000 $40,000 $36,000 $36,000
Common Stock $0 $32,000 $44,000 $64,000
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Question 9 of 10
Which is the largest number?
OA. 5.8 x 10-3
B. 2.5 x 105
о C. 1.9 × 106
OD. 8.7 x 10²
On solving the provided question, we can say that F= The lifting force is 27135 0.003357*250*180*180 = F=27135, surface area
What is surface area and an illustration?The total area that all of a 3D object's faces cover is the surface area. The surface area of a cube is its surface area, for instance, if we are trying to determine how much paint is needed to paint it. Always expressed in square units.
The entire surface of a three-dimensional shape is referred to as its surface area. A cuboid with six rectangular faces has a surface area equal to the sum of the areas of each face. Alternatively, you can label the cuboid's length, width, and height (l, w, and h), then calculate its surface area (SA) using the formula: SA=2lw+2lh+2hw.
F= k*a*v^2
a= 250
v=190
30300=k*250*{190^2}
k= 0.03357
F= 0.003357*250*180*180
F=27135
The lifting force is 27135
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Solve ASap with explanation
Answer:
B and D
Step-by-step explanation:
A: 3x-27
B: 9x-27
C: 9x-21
D: 9x-27
E: 9x-3x
Answer:
Option B Option DStep-by-step explanation:
We know that the terms of the expression are divisible by 9. Let's factor them.
9x - 27 = 3(3x - 9) = 9(x - 3)Now, let's verify all the options.
________________________________________________Option-A: This expression does not match with the above details. Hence, this is incorrect.Option-B: This expression matches with the above details. Hence, this is correct.Option-C: This expression does not match with the above details. Hence, this is incorrect.Option-D: This expression matches with the above details. Hence, this is correct.Option-E: This expression does not match with the above details. Hence, this is incorrect.________________________________________________After reviewing all options, we can conclude that Option B and D are correct.
Irene y Alejandro tienen 73 libros irene tiene el doble que Alejandro mas 1 cuantos libros tiene cada uno?
Irene has 49 Books, and Alejandro has 24 books.
Let's assume that Irene has x books, and Alejandro has y books. According to the given information, we can form the following equations:
1. Irene has twice as many books as Alejandro plus 1:
x = 2y + 1
2. The total number of books between Irene and Alejandro is 73:
x + y = 73
We can now solve this system of equations to find the values of x and y.
Substituting the value of x from equation (1) into equation (2), we have:
(2y + 1) + y = 73
3y + 1 = 73
3y = 72
y = 24
Now, we can substitute the value of y into equation (1) to find x:
x = 2(24) + 1
x = 49
Therefore, Irene has 49 books, and Alejandro has 24 books.
To verify our solution, we can check if the sum of their books equals 73:
49 + 24 = 7
So, our solution is correct.
In conclusion, Irene has 49 books, and Alejandro has 24 books.
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please help with this question
Answer:
B. xy(y - x) (y + x)
Step-by-step explanation:
Describe the slope of the line
Find the slope
m=??
Answer: 2.333333...
Step-by-step explanation:
If we apply rise over run, we see that it rises 3.5 spaces, and runs 1.5, which means that \(m = \frac{rise}{run} = \frac{3.5}{1.5} = 2.33333...\)
Subtract 81/6-45/6 Simplify the answer and write a mixed number
The value of the given fraction in mixed numbers is 6, or 36/6.
What is fraction?A fraction is a portion of a whole or, more broadly, any number of equal pieces. In ordinary English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters. In mathematics, a fraction is used to represent a piece or part of a whole. It symbolizes the equal pieces of the whole. A fraction is made up of two parts: the numerator and the denominator. The top number is known as the numerator, while the bottom number is known as the denominator.
Here,
=81/6-45/6
=(81-45)/6
=36/6
=6
The value for given fraction in mixed number will be 6 that is 36/6.
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Bir bahçede 18 elma, 24 armut ve 63 kiraz ağacı bulunmaktadır. Bu bahçedeki kiraz ağaçlarının sayısı toplam ağaç sayısının yüzde kaçıdır ?
Lütfen acil cevaplayabilir misiniz
18+24+63=? işlemini yapman gerek sonra sonuçtan ?-63=? işlemini yapacaksın sonra o sonucu 100 e bölüp sonucu bulcan
In a survey of 29 instructors, it was found that 22 liked white boards, 11 liked blackboards, and 7 liked both. How many instructors did not like white boards?
We need to find the number of instructors that did not like whiteboards.
In order to do so, notice that from the 11 instructors who liked blackboards, 7 also liked whiteboards.
Thus, among the instructors who liked at least one of the two types of boards, the number of them who didn't like whiteboards is:
\(11-7=4\)Also, there were some instructors among the whole group of 29 that didn't like any of the two boards. Thus, those ones didn't like whiteboards.
The following image illustrates this problem:
So, we need to find x and add it to the other 4 instructors that didn't like whiteboards.
We have:
\(\begin{gathered} 15+7+4+x=29 \\ \\ 26+x=29 \\ \\ x=29-26 \\ \\ x=3 \end{gathered}\)Thus, another 3 instructors didn't like whiteboards.
Therefore, the total number of instructors who didn't like whiteboards is
\(4+3=7\)Notice that we can find the same result in a faster way: since 22 instructors liked whiteboards from a total of 29 instructors, it means that 29 - 22 = 7 didn't like whiteboards.
Therefore, the answer is 7.
Mr. Romano is ordering meat for a family reunion. He knows that 80 people plan
to attend. He orders 1 lb of chicken for every 5 people and 3 lb of beef for every
10 people. Tell whether each statement is True or False.
a. Mr. Romano orders 48 lb of beef.
b. Mr. Romano orders 16 lb of chicken.
c. The ratio of pounds of beef to pounds
of chicken that Mr. Romano orders is 3: 2.
d. The ratio of pounds of chicken to pounds
of beef that Mr. Romano orders is 1:3
Mr. Romano's order of 48 lb of beef is false.
Mr. Romano's order of 16 lb of chicken is true.
The ratio of pounds of beef to pounds of chicken that Mr. Romano orders are 3: 2 is false.
The ratio of pounds of chicken to pounds of beef that Mr. Romano orders are 1:3 is false.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of people = 80
Number of pounds of chicken for 5 people = 1
Number of pounds of beef for 10 people = 3
The number of pounds of chicken for 80 people.
= 80/5
= 16 lb
The number of pounds of beef for 80 people.
= 80/10
= 8 lb
The ratio of pounds of beef to pounds of chicken.
= 8:16
= 1:2
The ratio of pounds of chicken to pounds of beef.
= 16:8
= 2:1
Thus,
The number of pounds of chicken for 80 people is 16 lb.
The number of pounds of beef for 80 people is 8 lb.
The ratio of pounds of beef to pounds of chicken is 1:2.
The ratio of pounds of chicken to pounds of beef is 2:1.
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Find the slope and the y-intercept of the equation 4x + 5y=-9.
O A. slope = 4/5' and y-intercept = `-(9)/(5)
slope = '-(4)/(5) and y-intercept = (9)/(5)
OC. slope = \-(4)/(5) and y-intercept = -(9)/(5)
OD. slope = (4)(5) and y-intercept = `975
Math-I’m only in 6th grade- what would I write?
Answer:
R;2 B;1 P;
Step-by-step explanation:
R is red there are 2 reds
B is blue there are 1 blues
P is purple there are 1 purples
HELP ME RIGHT NOW ISTG
Can somebody please help me I will mark u brilliant
Answer: 14
Step-by-step explanation:
Since they said find the mean
You are suppose to add up all the numbers then divide it by how many numbers are there.
Answer:
14
Step-by-step explanation:
You first add up all the number shown on the chart. Then you divide the sum by the number of values. 12+11+12+20+15 = 70. 70÷5= 14.
Instructions: Translate from one form to another.Point-Slope Form: y + 1 = 4(x + 1)Slope-Intercept Form:Check
The given equation is
\(y+1=4(x+1)\)We need to put it in the form
\(y=mx+b\)Then at first, we will simplify the right side
\(\begin{gathered} y+1=4(x)+4(1) \\ \\ y+1=4x+4 \end{gathered}\)Now, we will subtract 1 from both sides
\(\begin{gathered} y+1-1=4x+4-1 \\ \\ y=4x+3 \end{gathered}\)The slope-intercept form is y = 4x + 3
which equation represents exponential decay
Answer:
You have to show the question
Step-by-step explanation:
Change 42 1/2 % to a fraction.
42 1/2 ( aka 85/2) as a percent is 4250%.
To convert a percentage to a fraction, we can write the percentage as a fraction with a denominator of 100 and then simplify.
42 1/2 % can be written as:
42 1/2 % = 42.5/100
To simplify this fraction, we can divide the numerator and denominator by their greatest common factor, which is 2.
42.5/100 = (42.5 ÷ 2) / (100 ÷ 2) = 21.25/50
Next, we can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 25.
21.25/50 = (21.25 ÷ 25) / (50 ÷ 25) = 17/40
Therefore, 42 1/2 % is equal to 17/40 as a fraction in its simplest form.
Brainliest?
HELP ME PLEASEEEEEEEEEEE
Answer:
7
Step-by-step explanation:
7 times 8 =56
A high school robotics club sold cupcakes at a fundraising event.
They charged $2.00 for a single cupcake, and $4.00 for a package of 3 cupcakes.
They sold a total of 350 cupcakes, and the total sales amount was $625.
The system of equations below can be solved for , the number of single cupcakes sold, and , the number of packages of 3 cupcakes sold.
Multiply the first equation by 2. Then subtract the second equation. What is the resulting equation?
x + 3y = 350
2x + 4= 625
Type your response in the box below.
$$
The resulting equation after multiplying the first equation by 2 and subtracting the second equation is:
-5y = -375
1. Given equations:
- x + 3y = 350 (Equation 1)
- 2x + 4y = 625 (Equation 2)
2. Multiply Equation 1 by 2:
- 2(x + 3y) = 2(350)
- 2x + 6y = 700 (Equation 3)
3. Subtract Equation 2 from Equation 3:
- (2x + 6y) - (2x + 4y) = 700 - 625
- 2x - 2x + 6y - 4y = 75
- 2y = 75
4. Simplify Equation 4:
-2y = 75
5. To isolate the variable y, divide both sides of Equation 5 by -2:
y = 75 / -2
y = -37.5
6. Therefore, the resulting equation is:
-5y = -375
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Please help find the perimeter and area of the polygon
find the line of best fit for the set of data
The line of best fit for the set of data in this problem is given as follows:
y = 0.613x + 4.142.
How to find the equation of linear regression?To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) of the data-set in the calculator.
The points for this problem are given as follows:
(-2, 2.9), (-3.5, 2), (1.4, 4.8), (-4.2, 1.5), (0,4), (2.8, 6), (-1.5, 3.5).
Inserting these points into a calculator, the line of best fit is given as follows:
y = 0.613x + 4.142.
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PLEASE SHOW STEPS WILL MARK BRAINLIEST
The following graph shows a top-opening parabola.
What is the vertex form of the equation that represents this parabola?
Responses
y=(x−9)2−1y is equal to open paren x minus 9 close paren squared minus 1
y=(x+1)2−9y is equal to open paren x plus 1 close paren squared minus 9
y=(x+9)2−1y is equal to open paren x plus 9 close paren squared minus 1
y=(x−1)2−9
Answer:
(b) y=(x+1)²−9
Step-by-step explanation:
You want the vertex form equation of the graphed parabola, which opens upward and has its vertex at (-1, -9).
Vertex formThe vertex form equation for a parabola with vertex (h, k) is ...
y = (x -h)² +k
The vertex of the parabola shown is (h, k) = (-1, -9). Using these values in the equation gives ...
y = (x +1)² -9
__
Additional comment
The equation may include a scale factor that multiplies the square. Here, the curve rises 1 unit for 1 unit either side of the vertex, so the scale factor is 1. (The rise at ±1 from the vertex is the scale factor.)
Steps: (1) read the vertex coordinates from the graph; (2) put those coordinates in the vertex form equation; (3) check to see that the vertical scale factor is 1.
If 2y=x³ + 2x², find dy/dx when x=2.
Answer:
10
Step-by-step explanation:
\(\boxed{\textsf{If }y=x^n,\: \textsf{then }\dfrac{\text{d}y}{\text{d}x}=nx^{n-1}}\)
Given equation:
\(2y=x^3+2x^2\)
Isolate y by dividing both sides by 2:
\(\implies y=\dfrac{1}{2}x^3+x^2\)
Differentiate with respect to x:
\(\implies \dfrac{\text{d}y}{\text{d}x}=3 \cdot \dfrac{1}{2}x^{3-1}+2 \cdot x^{2-1}\)
\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{3}{2}x^2+2x\)
Finally, substitute x = 2 into the differentiated equation:
\(\begin{aligned} \implies \dfrac{\text{d}y}{\text{d}x} & =\dfrac{3}{2}(2)^2+2(2)\\\\ & = \dfrac{3}{2}(4)+4\\\\ & = \dfrac{12}{2}+4\\\\ & = 6+4\\\\ & = 10\end{aligned}\)
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36 -5/4 x 36 7/4=
Please help
Answer:
2189.25
5/4= 1.25
36-1.25 = 34.75
7/4= 1.75
36 X 1.75= 63
34.75 X 63 = 2189.25
Evalúe the limit. Show steps
After evaluating the limit we have came to find that the limit of \(\lim_{x\rightarrow 1 }\frac{x-2}{x^2-10x + 25}\) as x approaches 1 is −0.0625
What is limit?In mathematics, a limit is the value that a function, sequence, or index approaches as an input or as an index approaches a specific value. Limits are crucial to calculus and mathematical analysis and are necessary for the definitions of continuity, derivatives, and integrals.
The idea of a limit of a sequence is further generalized to include the idea of a limit of a topological network, in addition to sharing a connection with the category theory concepts of limit and direct limit.
A limit of a function is typically expressed in formulas as
\({\displaystyle \lim _{x\to c}f(x)=L,}\)
To find the limit
⇒ \(\lim_{x\rightarrow 1 }\frac{x-2}{x^2-10x + 25}\)
Evalúe 2 as x
⇒ \(\frac{1-2}{1^2-10(1) + 25}\)
⇒ \(\frac{-1}{-9 + 25}\)
⇒ \(\frac{-1}{16}\)
⇒−0.0625
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what is the sum of one and the product of one and a number
Answer:
the answer for this problem is 1 +×
Step-by-step explanation:
you must frame the equation with a number x
after that you have to translate the x into the equation and it can be written as
1×(1× ×)=1+×
Let u = 2i + 3j, v=-i, and w = 5i – 6j. What is the magnitude of 2(u – y + w)?
O 10.0
O 13.4
O 17.1
O 21.6
What is a number divided by 9