Answer:
[tex]e=\frac{-5e-90}{216}[/tex]
Step-by-step explanation:
[tex]\frac{2}{5}d+\frac{4}{9}e=-2d+\frac{7}{18}e-1[/tex]
[tex]\frac{2}{5}d+\frac{4e}{9}=-2d+\frac{7}{18}e-1 < - Muiltiply[/tex]
[tex]\frac{2}{5}d+\frac{4e}{9}=-2d+\frac{7e}{18}- < - Muiltiply Again\\[/tex]
[tex]\frac{2}{5}d+\frac{4e}{9}-\frac{4e}{9}=-2d+\frac{7e}{18}-1-\frac{4e}{9} < - Subtract BothSides[/tex]
[tex]\frac{2}{5}d=-2d-\frac{e}{18}-1 < - Simplify[/tex]
[tex]\frac{2}{5}d+2d=-2d-\frac{e}{18}-1+2d < - AddToBothSides[/tex]
[tex]\frac{12}{5}d=-\frac{e}{18}-1 < - Simplify[/tex][tex]\frac{12d}{12}=-\frac{\frac{5e}{18}}{12}-\frac{5}{12} < - DivideBothSides[/tex]
[tex]e=\frac{-5e-90}{216}[/tex]
WILL CHOOSE BRAINLIEST Use the slope to determine if lines PQ and RS are parallel, perpendicular, or neither.
Slope of line PQ = -3
Slope of line RS = 3
They are neither parallel nor perpendicular.
What is the Slope of Parallel and Perpendicular Lines?If two lines are parallel to each other, they would have the same slope value.
If two line are perpendicular, the slope value of one would be the negative reciprocal of the other.
Slope = change in y / change in x.
Slope of line PQ = (-1 - 14) / (2 - (-3))
Slope of line PQ = -15/5 = -3
Slope of line PQ = -3
Slope of line RS = (-10 - 8) / (-2 - 4)
Slope of line RS = -18/-6
Slope of line RS = 3
The slopes of both lines are different, and are not negative reciprocals of each other, therefore, they are neither parallel nor perpendicular.
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Given g(x) = -5x - 5, find g(1).
Given ~
[tex] \: [/tex]
[tex]\tt \: g(x) = - 5x - 5[/tex]
[tex] \: [/tex]
Now , put the value of x.
x = 1
[tex] \tt \: g(1) = - 5(1) - 5[/tex]
[tex] \: [/tex]
[tex]\tt \: g(1) = - 5-5[/tex]
[tex] \: [/tex]
[tex] \underline{\boxed{ \red{\tt \: g(1) = - 10}}}{\green✓}[/tex]
[tex] \: [/tex]
hope helps ~
The value of g(1) in the function g(x) = - 5x - 5 is - 10.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, A function g(x) = -5x - 5.
Now to obtain the value of g(1) we'll simply replace x with 1.
∴ g(1) = - 5(1) - 5.
g(1) = - 5 - 5.
g(1) = - 10.
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To calculate the average of 56,78,90,32,45
Answer:
60.2 is the average
Step-by-step explanation:
add all numbers together to get: 301
divide 301 by 5 because there are 5 numbers total to get: 60.2
Kevin went shopping for a new scooter. He bought one on sale for 15% off its regular price of $140. If sales tax is 8%, what was the total cost of the scooter?
Answer:
128.52
Step-by-step explanation:
140 × (1-0.15) = 119
119 × 1.08 = 128.52
Answer:
$128.52
Step-by-step explanation:
Firstly to find the price of the scooter, you divide 140 by 100 and then multiply it by 15. The answer is what you subtract from the original price.
15(140/100) = 21
140 - 21 = 119
Now that we have the price of the scooter after the discount, we need to figure out the price of the sales tax. Sales tax is based on the reduced price, so we need to take the same steps as before to find the price. Divide 119 by 100, then multiply it by 8, then add the total to 119.
8(119/100) = 9.52
119 + 9.52 = 128.52
Answer = $128.52
Carls weight w is 76. 12kg tanya says that w ≥ 76.12 is tanya correct
Answer:
Step-by-step explanation:
If Carl weighs 76.12kg, and Tanya says w (weight) is ≥ 76.12 kg (greater than or equal to), Carl is equal to 76.12, meaning Tanya is Correct.
Graph the inequality x+1>5.
To graph an inequality, select the correct type of ray and then select the correct endpoint on the number line.
Answer:
x>5_1 =4ans answer is these
Camille wants to crochet a blanket for her new baby cousin. her pattern calls for 900 yards of thick, soft wool. she already has 200 feet of wool left from another project. at the craft store, she notices that each ball has 500 feet of wool. how many balls of wool should she buy?
Camille need 5 balls of wool to crochet a blanket for her new baby cousin.
Unitary Method:
Unitary method is the method in which the value of a unit quantity is first calculated to get the value of any quantity is called the unitary method.
Given,
Camille wants to crochet a blanket for her new baby cousin. her pattern calls for 900 yards of thick, soft wool. she already has 200 feet of wool left from another project. at the craft store, she notices that each ball has 500 feet of wool.
Here we need to find the number of wool balls she need.
Let us consider x be the amount of wool balls she need.
Then,
wool needed - 900 yards
We know that,
1 yard = 3 feet
Then 900 yards will be equal to
=> 900 x 3 = 2700 feet
Now, She has - 200 feet
And we know that,
each ball at store contains - 500 feet
So it can be written as,
=> 200 + 500x = 2700
=> 500x = 2500
=> x = 2500/500
=> x = 5
Hence she need to buy 5 balls of wool from the store to get the required length of wool.
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Try It
Which are solutions of the equation 4x² - 7x= 3x + 24? Check all that apply.
We get that the solution for the equation 4 x² - 7 x = 3 x + 24 as 4 or 3 / 2.
We are given an equation:
4 x² - 7 x = 3 x + 24
We need to solve it for x.
4 x² - 7 x - 3 x = 24
4 x ² - 10 x = 24
4 x ² - 10 x - 24 = 0
4 x² - 16 x + 6 x - 24 = 0
4 x( x - 4) + 6( x - 4) = 0
(x - 4)(4 x + 6) = 0
Solving for x, we get that:
x = 4 or x = 6 / 4 = 3 / 2.
Therefore, we get that the solution for the equation 4 x² - 7 x = 3 x + 24 as 4 or 3 / 2.
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I cannot figure this out
A sheet of paper contains a list of 5 double-digit prime numbers.
Their mean is 31, while their median and mode is 29.
The largest number is 41.
Show how you can discover the 5 prime numbers written on the sheet.
the five prime number are 19,29,29,37,41
mean =sum of observations / total number of observation
= 19+29+29+37+41 /5
= 155/5
=31
median = (n+1) / 2 th term n is number of term and n is odd
= (5+1) /2 th term
= 3 rd term
= 29
mode = the value that appears most in the data
= 29
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Simplify (-8+b)(5) helppp I’m so confused!
Answer: 5b-40
Step-by-step explanation:
You have to distribute the 5 into both of the variables in the parenthesis
Hope this helps!
(MGSE9-12.N.RN.2) Multiply radical expression and write your answer in the simplest radical form. 2√5 (√6 +2). A) 30√2+4√5 B) 2√30+4√5 C) 2√11+4√5 D) 60+4√5
The simplest radical form. 2√5 (√6 +2).
The Simplification form of 2√5 (√6 +2) is B) 2√(30) + 4√5Given that
2√5 (√6 +2)To find
Simplest radical form of 2√5 (√6 +2) = ........?We know that
Simplest radical form is the expression in radical form that, after rationalizing the denominator, leaves no more square roots, cube roots, fourth roots, or other roots to find
So, according to the question
We have
2√5 (√6 +2)To find the simplest radical form of the given problem, we must first solve those brackets, then multiply under root numbers in root and without root numbers with without root numbers.
So now, let's follow that process
We will get,
2√5 (√6 +2) = 2√5 ×√6 +2√5 ×2
= 2√(5×6) + 2×2×√5
= 2√(30) + 4√5
So the radical form of that given problem is B) 2√(30) + 4√5
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In a survey of 1094 adults, 83% responded "yes" to the survey question.
How many adults answered "yes"? (round to the nearest whole person as needed)
Answer:
Pretty sure its 909. 83 percent of 1093 is 908.02. If you round it to the nearest person, it is 909
Step-by-step explanation:
Is the relationship between the side length of a square and its area proportional?
The relationship between the length of a side and the area is non proportional.
The answer is non proportional because the side length is x,
so is the other side lengths.
The side lengths are all equal and to find area you do x squared or x times x.
So they are not proportional because there will be different numbers for each.
For example. X= 2, area ( x squared ) is 4.
Hence, The relationship between the length of a side and the area is non proportional.
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
In a square, we need to find the relationship between the length of a side and the area.
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You read 105 pages of a novel over 7 days. What is the mean number of pages you read each day?
Answer:
15
Step-by-step explanation:
105/7
15
Hope It Helps
PLSSSS HELPPPPPP IM STUCK ON THIS
Answer:
1. 15.17ft 2. 18.57ft 3. 22.41%
Step-by-step explanation:
1. What was the length of one side of the garage originally?
Area of a square = s × s which is also equal to s²
s means one side of the square, as it is a square, all sides are equal.
so
230 = s²
s = √230 = 15.17
2. What is the length of one side of the garage now?
The original area of the garage was 230ft²
But now, the area has increased by 50%
Increased Area = 230 × 50% = 115ft²
Total Area = 230 + 115 = 345ft²
In the question, they are saying that after the area is increased, the garage is still a square which means that the side lengths have equal values.
Area = s²
345 = s²
s = √345 = 18.57
3. What was the percentage increase of the length of one side?
Length : Percentage
15.17 : 100
18.57 : x
When the length of one side was 15.17, the percentage was 100% as that is what the original length was, we can use ratio and proportion to find what the percentage will be when the length is 18.57.
Now cross multiply
18.57 × 100 = 15.17x
1857 = 15.17x
1857/15.17 = x
x = 122. 41
The new percentage is 122.41%
The difference between both percentages is:
122.41 - 100 = 22.41
And 22.41 is the percentage increase.
The temperature in Gainesville is 9°C colder than the temperature in Elmwood. What is the temperature in Gainesville?
The temperature in Gainesville is 11°C.
How to calculate the value?From the information given, the temperature in Elmwood is 20° and the temperature in Gainesville is 9°C colder than the temperature in Elmwood.
Therefore, the temperature in Gainesville will be:
= 20 - 9
= 11°C
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The temperature in Elmwood is 20°C. The temperature in Gainesville is 9°C colder than the temperature in Elmwood
Select the correct answer. What is the solution to this system of equations? 3x+6y−5z=29-9x+y+4z=9-8x+7y+5z=4
y=-20, x=-1, c= -5
SOlution :
three-by-three systems:
In order to solve systems of equations in three variables, known as three-by-three systems, the primary goal is to eliminate one variable at a time to achieve back-substitution. A solution to a system of three equations in three variables x,y,z
is called an ordered triple.
To find a solution, we can perform the following operations:
Interchange the order of any two equations.
Multiply both sides of an equation by a nonzero constant.
Add a nonzero multiple of one equation to another equation.
HOW TO: GIVEN A LINEAR SYSTEM OF THREE EQUATIONS, SOLVE FOR THREE UNKNOWNS.
Pick any pair of equations and solve for one variable.
Pick another pair of equations and solve for the same variable.
You have created a system of two equations in two unknowns. Solve the resulting two-by-two system.
Back-substitute known variables into any one of the original equations and solve for the missing variable.
3x+6y−5z=29...(1)
-9x+y+4z=9...(2)
-8x+7y+5z=4...(3)
Solving 1&2
3x+6(9-4z+9x)-5z=29
3x+54-24z+54x-5z=29
57x+54-29-29z=0
57x+25-29z=0
57x-29z=25...(3)
Solving 2& 3
-8x+7(9-4z+9x) +5z=4
-8z+63-28z+63x+5z=4
55x-23z-59=0 ..(4)
Solving 3 & 4
57x-29z=25...(3)
55x-23z-59=0 ..(4)
(55x29-57x23)x=59x23-25x23
-2906x = 2906
x=-1
putting it on equation 4
55x-23z-59=0 ..(4)
55(-1)-23z-59=0 ..(4)
z= - 5
-9(-1)+y+4(5)=9.
9+y+20=9
y=9-20-9
y=-20
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Answer:
(-4, 1, -7)
Step-by-step explanation:
and got it right on edmentum
Is 10.32332333... a rational or
irrational number?
Choose the correct answer below.
irrational number
rational number
Answer:
Rational.
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
This applies to the listed number.
Rewrite the polynomial in descending order. Identify the degree of the polynomial, the leading term, and the leading coefficient.
12 - 6b^6 + 4b - 3b^4
Answer:
Solution
12-6b6+4b-3b4, find Polynomial in descending order
Solution:
The Given Polynomial =12-6b6+4b-3b4
Descending order is basically when its terms are arranged in order from largest degree to smallest degree
Descending order of polynomial =-6x6-3x4+4x+12
Step-by-step explanation:
Savior loves to make waffles for breakfast normally it takes nine minutes to make three waffles he had some friends sleepover last night and he wants to make 10 waffles this morning if the waffles cook at the same rate how many minutes will it take Xavier to make the waffles this morning
Answer:
30 Mins
Step-by-step explanation:
9 mins for 3 waffles is 3 mins per waffle. 9÷3=3
3 mins for each of 10 waffles is 30 mins. 3×10=30.
distance between points -10,6 and 2, -3
Answer:
15 units
Step-by-step explanation:
calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 10, 6 ) and (x₂, y₂ ) = (2, - 3 )
d = [tex]\sqrt{(2-(-10))^2+(-3-6)^2}[/tex]
= [tex]\sqrt{(2+10)^2+(-9)^2}[/tex]
= [tex]\sqrt{12^2+81}[/tex]
= [tex]\sqrt{144+81}[/tex]
= [tex]\sqrt{225}[/tex]
= 15 units
ram earns rs. 3500 in a week how much would he earn in 30 days?
Answer:15,000
Step-by-step explanation: 3500 divided by 7 because there are 7 days in a week= 500 and then 500 times 30 because of the thirty days
Answer:
Given the salary of Ram in 7days is rs.3500
Ram earns in a day = 3500 Divided By 7
= rs.500
Ram earns in 30 days = 500 Multiplied by 30
= rs.15,000
All Done!
Statistics involving collecting, organizing, and summarizing data is called ______. group of answer choices
Descriptive statistics are those that involve gathering, arranging, and summarizing data.
What does "descriptive statistics" mean?Brief informational coefficients known as descriptive statistics are used to sum up a given data set, which may be a sample of a population or a representation of the entire population. Measures of the central tendency or measures of variability make up descriptive statistics (spread).
What do descriptive statistics serve as their primary function?A descriptive statistic's main function is to summarize data. Only the data set from which they were derived are statements made by descriptive statistics; they never extend further than the data you have.
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Write an expression for the area of a rectangle if the length is 2x^2-3x+1 and the width is x-2.
The expression for the area of a rectangle is [tex]2x^3-7x^2+6x-2[/tex].
It is given in the question that the length of the rectangle is [tex]2x^2-3x+1[/tex] and width is (x - 2).
We have to find a expression for the area of a rectangle.
We know that,
Area of a rectangle = l * b
Where,
l represents the length of the rectangle
b represents the breadth of the rectangle
Hence, using the data given in the question, we can write,
Area of a rectangle = [tex](2x^2-3x+1)*(x-2)[/tex]
Area of a rectangle = [tex](2x^3)+(-4x^2)+(-3x^2)+(6x)+(-2)[/tex]
Area of a rectangle = [tex]2x^3-7x^2+6x-2[/tex]
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What is the value of (2.4)3?
Answer: 7.2
Step-by-step explanation: 2.4(3) is really just 2.4 * 3 so 2.4 times 3 is 7.2.
Answer:
13.824
Step-by-step explanation:
Raise 2.4 to the power of 3.
solve the equation. (find only the real solutions. enter your answers as a comma-separated list.) 5x2 10x 4
After changing the form the equation becomes 5x (x + 2) = 4.
What is an equation?An is a mathematical statement composed of two expressions joined by an equal sign. An equation is 3x - 5 = 16. By solving this equation, we obtain the value of the variable x as x = 7.We cannot solve the equation as the value of x is not given but we can change its form.
Given equation is 5x² + 10x - 4.
Then,
5x² + 10x - 4 = 05x² + 10x = 45x (x + 2) = 4 (Take 5x as common)Therefore, after changing the form the equation becomes 5x (x + 2) = 4.
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The correct question is given below:
solve the equation. (find only the real solutions. enter your answers as a comma-separated list.)
5x² + 10x - 4
How to solve it??? Which formula to be use. Also which sides would be taken??
The values of x and y are x = 45/7 and y = 42/5
How to determine the values of x and y?To calculate the value of x
Here, we make use of the ratio
AC : BC = AQ : QP
This gives
x : 5 = x + 9 : 12
Express as fractions
x/5 = x + 9/12
Cross multiply
12x = 5x + 45
Evaluate the like terms
7x = 45
Divide by 7
x = 45/7
To calculate the value of y
Here, we make use of the ratio
AB : BC = AP : PQ
This gives
6 : 5 = 6 + y : 12
Express as fractions
6/5 = 6 + y/12
Cross multiply
30 + 5y = 72
Evaluate the like terms
5y = 42
Divide by 5
y = 42/5
Hence, the values of x and y are x = 45/7 and y = 42/5
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7/8 of a can of drink is water, the rest is syrup. What is the ratio of water to syrup?
Answer:
7 : 1.
Step-by-step explanation:
1 - 7/8 = 1/8 is syrup.
So, water to syrup
= 7/8 : 1/8
= 7 :1.
The ratio of water to syrup is 7:1
What is a ratio?The quantitative relation between two amounts showing the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"
Given here, 7/8 of a can of drink is water, the rest is syrup thus the fraction for syrup is 1/8 of the can. Therefore the ratio of water and syrup is
7/8:1/8=7:1
Hence, The ratio of water to syrup is 7:1
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Those methods involving the collection, presentation, and characterization of a set of data in order to properly describe the various features of that set of data are called?
Those methods involving the collection, presentation, and characterization of a set of data in order to properly describe the various features of that set of data are called descriptive statistics.
Descriptive statistics:- Descriptive statistics helps to describe, summarize and organize the set of data efficiently and in an informative way, so that it'll be easier to make conclusion about the data in order to make rational decisions. This method describes the characteristics of a dataset.
Example:- The average test score for the students of a particular class, gives descriptive sense of the typical scores.
There are three types of descriptive statistics-
Univariate statistics:- It summarizes only one variable at a time.Bivariate statistics:- It compares between two variables.Multivariate statistics:- It compares between more than two variables.Thus we can conclude that, those methods involving the collection, presentation, and characterization of a set of data in order to properly describe the various features of that set of data are called descriptive statistics.
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