a) 7 examples are:
[tex]2x + 3y\\(4a - 5b) / 2c\\(5 + 8) * 3\\8^2 - 6\\√(64)\\(1/3) * π * r^2\\2(3x + 4y) - 5z[/tex]
b) Fabric Larry will have left after using [tex]2\frac{2}{3}[/tex] yard out of [tex]5\frac{5}{6}[/tex] yard to make a bag for his computer is: [tex]3\frac{3}{6} yard[/tex]
What kinds of expressions are examples?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
7 examples of mathematical expression are:
[tex]2x + 3y\\(4a - 5b) / 2c\\(5 + 8) * 3\\8^2 - 6\\√(64)\\(1/3) * π * r^2\\2(3x + 4y) - 5z[/tex]
For the second part of the question:
Larry had 5 3/6 yards of fabric. He used 2 2/3 yards to make a bag for his computer. Write an expression that will show how much of the fabric Larry will have left.
The mathematical expression that represents the amount of fabric Larry has left is:
5 3/6 - 2 2/3 = 2 7/18
You can simplify this further:
2 7/18 = 2 1/6
The amount of fabric Larry will have left is 2 1/6 yards.
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Swaggerty
1. Rose and Andrew are financing $128,000 to purchase a condominium. They obtained a 15-year, fixed-rate loan with a rate of 5. 5%. They have been given the option of purchasing up to four
points to lower their rate to 4. 81%. How much will the four points cost them?
For the given principal and two different rate of interest for the 15 years of time period the cost of four points is given by $26786.2.
As given in the question,
Principal amount 'P' = $128,000
Time 't' = 15 years
Rate of interest 'r' = 5.5%
= 0.055
Total amount 'A' received is given by the formula :
A = P ( 1 + r/100 )^n
= 128,000 ( 1 + 5.5 / 100 )^15
= $285756.99
Now when the rate of interest is changed to
Rate of interest 'r' = 4.81%
= 0.0481
Total amount 'A' received is given by the formula :
A = P ( 1 + r/100 )^n
= 128,000 ( 1 + 4.81 / 100 )^15
= $258970.79
Now, the cost of four points is given by:
= $( 285756.99 - 258970.79 )
= $ 26786.2
Therefore, for the given principal amount with two different rate of interest for the time period of 15 years the cost of four points is equal to $26786.2.
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HELLPPP PLSSS
100÷10+3-100+ (6+ 19)+ 3 × -5 -19+100
Answer:
4
Step-by-step explanation:
I used a Calculater
A tunnel is cylindrical. The tunnel is 400 m long with radius 2.3 m.
What is the capacity of the tunnel? Give the answer is liters. [Hint: 1 m3 = 1000 L]
Answer:
6647.6 liters
Step-by-step explanation:
The volume of a cylinder with end area r and length (or height) h is
V = πr²h
If we substitute 2.3 m for r and 400 m for h, we get:
V = π(2.3 m)²(400 m) = 6647.6 m³ or 6647.6 liters
Nathan sells 10 cups of lemonade for $1.00 each. It cost him $0.25 to make
each cup. Which expression represents Nathan's profit?
Answer:
Maybe 2500 i dont know i forgot
Step-by-step explanation:
(2x+5y)(3x-7y)-2xy simplify only
Answer:
6x^2+xy-35y^2-2x
Step-by-step explanation:
If this helps, make sure to rate it 5 stars and give me brainliest and a thanks!
The data set below has 7 values. Find the mean absolute deviation for the data set. If necessary, round your answer to the nearest hundredth. 13,14,15,6,17,16,3
Given:
The data set is 13, 14, 15, 6, 17, 16, 3.
To find:
The mean absolute deviation for the data set.
Solution:
We have,
13, 14, 15, 6, 17, 16, 3
Mean of the data set is:
[tex]\text{Mean}=\dfrac{\text{Sum of all observations}}{\text{Number of observations}}[/tex]
[tex]\overline{x}=\dfrac{13+14+15+6+17+16+3}{7}[/tex]
[tex]\overline{x}=\dfrac{84}{7}[/tex]
[tex]\overline{x}=12[/tex]
The formula for mean absolute deviation is:
[tex]MAD=\dfrac{\sum_{i=1}^n|x_i-\overline{x}|}{n}[/tex]
Using this formula, the mean absolute deviation for the data set is:
[tex]MAD=\dfrac{|13-12|+|14-12|+|15-12|+|6-12|+|17-12|+|16-12|+|3-12|}{7}[/tex]
[tex]MAD=\dfrac{1+2+3+6+5+4+9}{7}[/tex]
[tex]MAD=\dfrac{30}{7}[/tex]
[tex]MAD\approx 4.29[/tex]
Therefore, the mean absolute deviation for the data set is about 4.29.
0.7 times square root of 300
The value of the expression 0.7 x √300 is 12.124.
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,
0.7 x √300
This can be written as,
= 0.7 x √3 x √100
= 0.7 x 1.732 x 10
= 12.124
Thus,
The value is 12.124.
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help me plsss its due tonight!!!
Find the probability that a point choseb at randon the figure will lie in the shaded region. Write your anser as a percentage rounding to the nearest hundreth in percentage form
=======================================================
Explanation:
Let's find the area of one of the circles
A = pi*r^2
A = pi*10^2
A = 100pi
One circle is exactly 100pi square meters in area.
Four of the circles then combine to a total area of 4*100pi = 400pi square meters.
The distance along the bottom of the square is equal to two diameters, each diameter being 2r = 2*10 = 20 meters. So the distance along the bottom of the square is 2*20 = 40 meters. The square has an area of 40^2 = 1600 square meters.
The shaded region would therefore have an exact area of 1600-400pi square meters.
This approximates to 1600-400pi = 343.362938564082
Divide this over the area of the square to get the probability we want to find:
343.362938564082/1600 = 0.21460183660256
That's roughly 0.2146, which converts to 21.46%
Answer:
21.5%
Step-by-step explanation:
Find the area of the square, which is 40² or 1600 sq m
Find the area of one circle, multiply it by 4, then subtract that from 1600
A = 100(3.14) = 314
314 x 4 = 1256
1600 - 1256 = 344
Probability of landing in the shaded region is 344/1600 = 21.5%
which choice belongs in space number 4
Answer:
2nd choice
Step-by-step explanation:
mrk me brainliest plzzzzzzzzzzz
(PLS HELP, URGENT, IT'S DUE IN 12 MINUTES!!!!)
Kara can run 3 miles in 25.5 minutes. At this rate, how long would it take her to run 2 miles? Diana's answer: If I subtract 1 mile from 3 miles, I get 2 miles, so if I subtract 1 minute from 25.5 minutes, I get 24.5 minutes. Kara takes 24.5 minutes to run 2 miles. Is Diana's answer correct? Explain pls!
Answer:25.5 divided by 3= answer I think
Step-by-step explanation:
What is (f + g)(x)?
f(x) = -3x² + 3
g(x) = −3x
Answer:
Step-by-step explanation:
(f.g)(x)=[tex]-3*(-3x)^{2}+3=-27x^{2}+3[/tex]
What number multiple by 7/9 has the product of 1?
Answer: In mathematics, the reciprocal of a number is 1 divided by that number. So the reciprocal of 7/9 is 1/(7/9) which can be simplified to 9/7.
Therefore, 9/7 is the number that when multiplied by 7/9 will result in the product of 1.
Another way of arriving at the same solution is to remember that the product of a number and its reciprocal is always 1. In this case, the number is 7/9, and its reciprocal is 9/7.
Step-by-step explanation:
Please help asap thank you
Solve for X please and thank you :)
x<-3
Hope this helped! :T
Please help me in these
Answer:
11) 20%
12)40
13)19
14)216
15)25%
16) 50
17) 986
18)220%
19)40
20)100%
Step-by-step explanation:
with percentages it is part divided by the whole times 100 so an example would be 73 divided by 365 times 100
Answer:
11) 20%
12) 40
13) 19
14) 216
15) 25%
16) 50
17) 986
18) 220%
19) 40
20) 100%
Here's a fat rat in a hat
Problema de capacidades Una empresa aceitera ha envasado 3000 litros de aceite en 1200 botellas de dos y de cinco litros. ¿Cuántas botellas de cada clase se han utilizado?
Answer:
Hay 200 botellas de 5 litros y 1000 botellas de 2 litros.
Step-by-step explanation:
Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.
Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.
En este caso, las variables a calcular son:
x= cantidad de botellas de 2 litros.y= cantidad de botellas de 5 litros.Una empresa aceitera ha envasado 3000 litros de aceite en 1200 botellas de dos y de cinco litros. Entonces es posible plantear el siguiente sistema de ecuaciones:
[tex]\left \{ {{2*x+5*y=3000} \atop {x+y=1200}} \right.[/tex]
Existen varios métodos para resolver un sistema de ecuaciones. Resolviendo por el método de sustitución, que consiste en despejar o aislar una de las incógnitas y sustituir su expresión en la otra ecuación, despejas x de la segunda ecuación:
x= 1200 - y
Sustituyendo la expresión en la primer ecuación:
2*(1200 - y) + 5*y=3000
Resolviendo se obtiene:
2*1200 - 2*y + 5*y= 3000
2400 +3*y= 3000
3*y= 3000 - 2400
3*y= 600
y= 600÷3
y= 200
Reemplazando en la expresión x= 1200 - y:
x= 1200 - y
x=1200 -200
x= 1000
Hay 200 botellas de 5 litros y 1000 botellas de 2 litros.
PLease help I have to finish by 4:00
Answer:
You mean 4/5?
Step-by-step explanation:
On a very cold morning, it was -8°F. As the day went on, the temperature ros
degrees each hour. Which equation shows the temperature over time?
enter an internet value that could be used in each of the blanks below to make the polynomial factorable
The area of a circle is 100 pie. What is the radius?
A 25
B) 10
C 50
D) 5
Answer:
50 (hope this helps, have a good day)
Step-by-step explanation:
just divide The area divided by 2
Plz solve number 20 for me…. I NEED ASAP HELP plz… WOULD BE GREAT
A local health club offers two membership plans. Under Plan A, you pa
flat rate of $201 a month and you get unlimited visits. Under Plan B, yo
pay only $33 per month, but must pay $8 for each visit to the club. At
what number of visits will both plans be the same?
The plans cost the same if you visit
times.
Therefore , the solution of the given problem of linear equation comes out to be the plan will be equal at 21 visits.
A linear equation is precisely what?The algebraic equation y=mx+b stands in for a linear equation. The slope is m, and B is the y-intercept. The last phrase referred to a "simple formula with two elements" where both y and x are variables. Bivariate linear equations are calculations involving two variables. Here are a few examples: The outcomes are 2x - 3 = 0; 2y = 8; m + 1 = 0; x/2 = 3; x + y = 2; and 3x - y + z = 3. If the answer to a mathematical equation is in the form y=mx+b, where m denotes the slope and b the y-intercept, the equation is said to be linear.
Here,
Given :
Case 1: flat rate of $201 a month and you get unlimited visits.
and
Case 2:pay only $33 per month, but must pay $8 for each visit to the club.
Thus,
To find at what number of visits both plan be equal is
Let x be the number of visit,
We get,
Case 1: 201
Case 2: 33 + 8x
For equlaity:
=>33+ 8x =201
=>8x =168
=> x =168/8
=> x =21
Therefore , the solution of the given problem of linear equation comes out to be the plan will be equal at 21 visits.
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Please help
Solve the rational equation: 1/x+1 - 1/x+2 = 1/5
A. There is no solution.
B. x = −0.64, x = 1.44
C. x = −3.79, x = 0.79
D. x = −1, x = −2
The solution for the rational equation (1/(x + 1)) - (1/(x + 2)) = 1/5 is specified by the option C.
C. x = -3.79, x = 0.79
What is a rational equation?A rational equation consists of a fraction that has a polynomial numerator denominator.
The specified equation can be expressed as follows;
[tex]\dfrac{1}{x + 1} - \dfrac{1}{x+2} = \dfrac{1}{5}[/tex]
Finding the common denominator for the right hand side expression, we get;
[tex]\dfrac{ (x + 2) - (x + 1)}{(x + 1) \times (x + 2)} = \dfrac{1}{5}[/tex]
[tex]\dfrac{1}{(x + 1) \times (x + 2)} = \dfrac{1}{5}[/tex]
[tex]\dfrac{1}{x^2+ 3\cdot x+ 2} = \dfrac{1}{5}[/tex]
Inverting both sides of the above equation, we get the following quadratic equation;
x² + 3·x + 2 = 5
x² + 3·x + 2 - 5 = 0
x² + 3·x - 3 = 0
The quadratic formula indicates that we get;
x = (-3 ± √(3² - 4×1×(-3))) ÷ (2 × 1)
x = (-3 + √(21)) ÷ 2 and x = (-3 - √(21)) ÷ 2
x ≈ 0.79 and x ≈ -3.79
The correct option is option C
C. x = -3.79, x = 0.79
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The ages of four children are 14, 12, 15, and 17
Work out the range of the ages of the four
children.
Step-by-step explanation: 12 - 14 is 2 years
14 - 15 is 1 year
15 - 17 is 3 years
I would say the rang is 1 -3 years apart
Hope this helps any
Write an equation in point-slope form of a line that has a slope of 2/3 and
passes through the point (9,5).*
Answer:
y= 2/3x -1
Step-by-step explanation:
Ok so basically we want to put it in the form y=mx+b where m is 2/3 and passes through the point (9,5). So sub in the x and y of the point in brackets into the equation. 5= 2/3(9) + b and solve for b so b = -1. Therefore the equation is y=2/3x -1
Evaluate x^2 +xyz if x=3, y=5, and z=4
Answer:
6 + 354 I THINK
Step-by-step explanation:
Answer:
9+354 = 363
Step-by-step explanation:
x = 3 so 3 to the power of 2 = 9 and (xyz = 354) so 9 + 354 = 363
Classify each variable as qualitative or quantitative.
1. Marital status of nurses in a hospital.
2. Time it takes to run a marathon.
3. Weights of lobsters in a tank in a restaurant.
4. Colors of automobiles in a shopping center parking lot.
5. Ounces of ice cream in a large milkshake.
6. Capacity of the NFL football stadiums.
7. Ages of people living in a personal care home.
Quantitative variable are - 2,3,5,7 and Qualitative are 1, 4 ,6
1. Marital status of nurses in a hospital-qualitative
2. Time it takes to run a marathon-quantitative
3. Weights of lobsters in a tank in a restaurant- quantitative
4. Colors of automobiles in a shopping center parking lot- qualitative
5. Ounces of ice cream in a large milkshake- quantitative
6. Capacity of the NFL football stadiums -qualitative
7. Ages of people living in a personal care home- quantitative
Qualitative variables are categorized or labelled to belong to a certain category or group.
There are two types of qualitative variables, Categorical and ordinal.
Categorical variable are those variables that are labelled in non-numeric or numeric form, where the numbers have no value. The order also does not matters. For example, the number on the jerseys of football players. It is not necessary that the player number 1 is actually the best player.
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HELP DUE IN 15 MINS!
The diagonals of a rectangle are perpendicular.
True
False
trust me the answer is false :)
Answer:
No they are not, false
Step-by-step explanation:
We know that if the diagonals are perpendicular then they cut at 90 degrees but in rectangles, the diagonals dont cut at 90 degrees. Hence the statement is false.
Would be amazing if you marked this brainliest :)
what is the next term in this sequence of cube numbers?
1,8,27,64...
Answer: 125
Step-by-step explanation:
The first term is 1³. The second term is 2³. The third term is 3³. And the Fourth term is 4³.
So the pattern is n term = n³
plug in 5
= 5³
= 125