Answer:
Improper fraction: -31/30
Mixed number: -1 1/30
Step-by-step explanation:
If x = -5/6 and y = -2/5, we can start by replacing x and y in the equation x + 1/2y.
x+1/2y -> -5/6+1/2(-2/5)
Now we can start solving the equation:
According to the Order of Operations, we have to start with multiplication before addition. So, let's multiply 1/2 and -2/5. We get -2/10, which simplifies to -1/5.
Now we have to do the addition: -5/6+(-1/5)
To add fractions together, we have to find a common denominator. We can do this by finding the LCM of the two denominators(Least common multiple).
6: 6, 12, 18, 24, 30, 36...
5: 5, 10, 15, 20, 25, 30, 35...
The LCM is 30.
-5/6 x 5/5 = -25/30 <-- the equivalent fraction of -5/6
-1/5 x 6/6 = -6/30 <-- the equivalent fraction of -1/5
-25/30 + (-6/30) = -31/30
The answer is -31/30 in improper fraction form, and -1 1/30 in mixed number form.
the mayor of a town believes that above 72% of the residents favor annexation of an adjoining community. is there sufficient evidence at the 0.05 level to support the mayor's claim? state the null and alternative hypotheses for the above scenario.
Null hypothesis: Proportion of residents favoring annexation <= 72%. Alternative hypothesis: Proportion of residents favoring annexation > 72%
The null hypothesis is that the proportion of residents who favor annexation is equal to or less than 72%. The alternative hypothesis is that the proportion of residents who favor annexation is greater than 72%.
To determine if there is sufficient evidence to support the mayor's claim, a hypothesis test should be performed. A common approach is to use a one-sample proportion test. This test compares the proportion of residents who favor annexation in a sample to the hypothesized proportion of 0.72.
Assuming a significance level of 0.05, if the p-value is less than 0.05, then there is sufficient evidence to reject the null hypothesis and conclude that the proportion of residents who favor annexation is greater than 72%.
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The figure on the right is a scaled copy of the figure on the left. Which side in the figure on the right corresponds to segment DF? What is the scale factor?
The side which corresponds to QS is VU, and the scale factor is 2.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
Given that, the figure on the right is a scaled copy of the figure on the left.
We need to find the corresponding side of QS and scale factor,
The figure is 90° counterclockwise rotated,
Therefore,
The corresponding sides are:
PR ~ TW
RQ ~ VT
QS ~ UV
PS ~ WU
∵ the measure of QS = 4 units and the measure of UV = 2 units
∴ scale factor = 4/2 = 2
Hence, the side which corresponds to QS is VU, and the scale factor is 2.
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The question do not contain figure, the similar question is solved.
A 6
6
-foot ribbon is cut into 4
4
equal pieces.
Which equation shows how to find the length of each piece?
The equation shows how to find the length of each piece is L = R / N and the length of each piece is 1.5 feet.
To find the length of each piece, we can use the following equation:
Length of each piece = Total length of the ribbon / Number of pieces
In mathematical terms, we can represent this equation as:
L = R / N
Where,
L is the length of each piece
R is the total length of the ribbon (66 feet in this case)
N is the number of pieces (44 in this case)
In this problem, we are given a 66-foot ribbon and we are asked to cut it into 44 equal pieces. We need to find out the length of each piece.
Using this equation, we can easily find the length of each piece:
L = 66 / 44
L = 1.5 feet
Therefore, each piece of the ribbon is 1.5 feet long.
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1.9 unit conversions
Change 24 in./s to ft/min.
After unit conversion of 24 in./s into ft/min the value will be 120
What are Units ?To measure and compare various things we use one term which is known as a unit. When all of the measuring units are the same, comparison is simple. Depending on their intended usage, different units can be categorized.
For example, for length measurement we use units like:- meter, centimeter, inch, miles.
Given that,
A rate = 24 in./s
The value of rate in ft./min. = ?
It is known that,
1 feet = 12 inches
And 1 minute = 60 second
So,
1 inches = 1/12 feet
1 second = 1/60 minute
⇒ 24 in./s
⇒ 24 ((1/12)ft / (1/60)sec)
⇒ 24 × 60/12
⇒ 24 x 5
⇒ 120
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about 45 of every 300 apples picked at the newbury apple orchard are rotten, if 3560 apples were picked one week, about how many apples were rotten?
about 45 of every 300 apples picked at the Newbury apple orchard are rotten, if 3560 apples were picked one week, about 534 many apples were rotten. We drew this answer with the help of algebra,
45/300 = x/3560
x = 3560*(45/300) = 534
At the same rate, about 534 rotten apples can be expected in the week's pickings.
Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions. In algebra, we use numbers like 2, −7, 0.068 etc., which have a definite or fixed value. In algebra we use variables like x, y, and z along with numbers.
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What is the greatest common factor : 21, 35, 56
Answer:
7
Step-by-step explanation:
need help with this asap please!!
Answer:
A van can carry 18 students; a bus can carry 41 students.
Step-by-step explanation:
Let v = capacity of van.
Let b = capacity of bus.
School A:
3v + 12b = 546
School B:
13v + 6b = 480
Our system of equation is:
3v + 12b = 546
13v + 6b = 480
3v + 12b = 546
+ -26v - 12b = -960
-----------------------------
-23v = -414
v = 18
3v + 12b = 546
3(18) + 12b = 546
54 + 12b = 546
12b = 492
b = 41
Answer: A van can carry 18 students; a bus can carry 41 students.
Starting with the number 10, build a sequence of 5 numbers.
Answer:
Step-by-step explanation:
To build a sequence, you have to create a rule. For example, if the rule is +2, then you add 2 to 10 to get 12, and then you add 2 to 12 to get 14, and so on. Your sequence would then be 10, 12, 14, 16, 18.
Huw investigates the opinion of the public about their local primary schools. He visits his town centre and administers a questionnaire to 120 people over the course of several days.
What type of sampling is this?
The type of sampling that Huw is using is called Convenience Sampling.
Explanation:
Convenience sampling is a non-probability sampling technique where the sample is selected based on ease of access and availability. In Huw's case, he is administering the questionnaire to people who happen to be in the town centre, which is convenient for him. The sample is not selected randomly, and therefore does not accurately represent the population as a whole. Convenience sampling is often used in quick, informal surveys where the researcher does not have the resources or time to conduct a more rigorous, randomized sampling method.
8.70% of is 14?
O 10
O 20
O 30
O 50
Sophia is trying to pick out an outfit for the first day of school. She can choose from 2 pairs of pants, 2 t-shirts, and 4 pairs of shoes. How many different outfits does Sophia have to choose from?
The number of many different outfits Sophia has to choose from should be 16.
What is arithmetic?
Mathematical arithmetic is the study of the properties of the standard operations on numbers, such as addition, subtraction, multiplication, division, exponentiation, and root extraction.
Here, we have
Given: Sophia is trying to pick out an outfit for the first day of school. She can choose from 2 pairs of pants, 2 t-shirts, and 4 pairs of shoes.
She can choose from 2 pairs of pants, 2 t-shirts, and 4 pairs of shoes.
So here the number of distinct outfits should be like
= 2 × 4 × 2
= 16
Hence, the number of many different outfits Sophia has to choose from should be 16.
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Answer:16
Step-by-step explanation:Total outcomes
=
Total outcomes=
2‾
pants
×
2‾
t-shirts
×
4‾
shoes
pants
2
×
t-shirts
2
×
shoes
4
Fundamental counting principle
=
=
16
v=1/3(3.14) times 64 times 18
can someone please help me(10 points will give brainliest!!!)
The value of the function f(a + 1) - f(a) is 2a - 2
What is a functionfunction, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
In the given problem;
f(x) = x² - 3x
f(a + 1) - f(a) = ?
f(a + 1) = a² - a - 2
f(a) = a² - 3a
f(a + 1) - f(a) = a² - a - 2 -(a² - 3a)
f(a + 1) - f(a) = 2a - 2
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The temperature at noon was $-4\degree$ C. By midnight, the temperature dropped $8\degree$ C. Which expression represents the temperature at midnight?
The temperature at midnight would be -4°C - 8°C since the temperature at noon was -4°C and at midnight it dropped 8°C.
The temperature at midnight would be -4°C minus 8°C, which can be expressed as:
-4°C - 8°C = -12°C
Therefore, the temperature at midnight would be -12°C.
Temperature is a measure of the degree of hotness or coldness of a body or an environment. It is a physical quantity that expresses the amount of thermal energy in a substance or a system, typically measured using a thermometer in units such as Celsius (°C) or Fahrenheit (°F). In general, the higher the temperature, the more thermal energy is present in the system, and the lower the temperature, the less thermal energy is present.
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QUESTION FOR FOR LIH04
please help me i dont understand
Answer:
x=15°
∡Q= 75°
Step-by-step explanation:
supplementary angles means the sum of the angles =180°
so, 5x+105°=180°
5x=75°
x=15°
∡Q= 75°
Jane has 4.8 pints of juice.
Tim has 7.4 pints of juice.
About how many pints of juice do they
have in all?
Answer:
12.2 pints
Step-by-step explanation:
In all means add. Add the two decimals together.
4.8 + 7.4
12.2 pints
The mean of x, y, and z is 55. If x+y=107 then what does z equal?
Answer:
The value of z is 58
Step-by-step explanation:
The mean is the average of a set of numbers. Mean = (sum of the numbers)/(the number of numbers).
We are told that the mean of x+y+z is = 55.
We can wriote this as:
55 = (x+y+z)/3
We learn that x+y = 107. So lets enter that number for x + y:
55 = (x+y+z)/3
55 = ((x+y)+z)/3
55 = ((107)+z)/3 [Substitution]
55 = (107+z)/3
165 = 107+z [Multiply both sides by 3]
z = 58 [Simplify]
CHECK:
Is the mean of x, y, and z 55?
55 = (x+y+z)/3 ?
55 = ((107)+z)/3 ? [Since we know x+y = 107]
55 = ((107)+58)/3 ? [Since z=58]
55 = (165)/3) ?
55 = 55 YES The value of z is 58
y = -2x + 1
4x + 2y = -1
(0, -3)
(-3,0)
No solution
Infinitely many solutions
The given equations having infinitely many solutions.
What is Solutions of system of equation?
A solution to a system of equations is a collection of variable values that satisfy all of the equations at the same time. To solve a system of equations, one must determine all of the sets of variable values that compose the system's solutions.
The solution to the system of equations y = -2x + 1 and 4x + 2y = -1 can be determined graphically by plotting both equations on the same set of axes and finding the points of intersection.
If there is exactly one point of intersection, then that point represents the unique solution to the system. If there are no points of intersection, then the system has no solution. If there are infinitely many points of intersection, then the system has infinitely many solutions.
Based on the information you provided, the system has two points of intersection: (0, -3) and (-3, 0). This means that the system has two solutions, and the solution set is the set of all points on the line that passes through these two points.
Therefore, The given equations having infinitely many solutions.
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Look at the image below.
Answer: 28 (look at the image for the solution)
Step-by-step explanation:
Answer:
A = base x height
A = 7 x 4
A = 28
Have a wonderful day! :-)
A dust particle weighs around 7.53 x 10-16 grams.
grams
O 7,530,000,000,000,000,000
0.0000000000000753 grams
75, 300,000,000,000,000 grams
O 0.0000000000000000753 grams
O'0.0
0.000000000000000753 grams
Answer:
It would be 3.765 pounds. You have to do 7.53 x 10 to the -10= 0.000000000753. Then do 0.000000000753 x 5 billion to get 3.765.
Step-by-step explanation:
Find the value of "x" and "y". State which angle pair theorem (s) you need.
(4)*
3x
y
(5x – 64)°
X =
4 =
theorem:
4.
PLEASE HELP DUE TOMORROW:
Ok, so I know the answer is 9 but I'm not sure how to actually get that answer, and this assignment requires me to show work.
Determine the intercepts of the line. Do not round your answers. y+1=3(x − 4) x-intercept: (_,_) y-intercept: (_,_)
The intercepts of the line are x intercept: (4.3,0) y-intercept: (0,-13)
How to determine the intercepts of the lineFrom the question, we have the following parameters that can be used in our computation:
y+1=3(x − 4)
To calculate the x-intercept, we set y to 0
So, we have the following representation
0+1=3(x − 4)
This gives
x - 4 = 1/3
So, we have
x = 4.33
To calculate the y-intercept, we set x to 0
So, we have the following representation
y + 1 = 3(0 − 4)
This gives
y + 1 = -12
So, we have
y = -13
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please this is so urgent
Select the correct answer.
What is the domain of the exponential function shown in the graph?
Answer: Choice D
Explanation:
The notation [tex]-\infty < \text{x} < \infty[/tex] says x is anything between negative infinity and positive infinity. Basically x is any real number. This is because the curve stretches forever to the left and right. Any number can be the x input.
The function,y=−16x2+32x+48, represents the height, in feet, of a firework x seconds after it is launched.
After how many seconds does the firework hit the ground?
Enter your answer in the blank.
x=□seconds
The number of seconds does the firework hit the ground is 3 seconds
How to determine the valueFrom the information given, we have the quadratic function;
y = -16x² + 32x + 48
To determine the value of x , let's reduce the expression, we get;
-2x² + 4x + 6
Now, let's factorize the terms
Multiply the coefficient by the constant and find the pair factors
-2x² + 6x - 2x + 6
Factorize in pairs, we get;
-2x(x -3) - 2(x -3)
Then, we have the expressions
-2x - 2 = 0
solve for x
x = -1
x - 3 = 0
x = 3
Hence, the value is 3 seconds
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Answer:
3
Step-by-step explanation:
i took the test
subsitute (-3,3) 2y+x=3 y=x+0
Answer:
Point (-3, 3) is not a solution to the system of equations
2y+x=3
y=x+0
Step-by-step explanation:
2y + x = 3
y = x + 0
2(3) + (-3) = 3
6 - 3 = 3
3 = 3
The point works in the first equation.
3 = -3 + 0
3 = -3
The point does not work in the second equation.
jack bought a bike that was 35% off the original price let p represent the original price. what expressions can be used to calulate the sale price
The expression used to calculate the sale price is given as follows:
S(p) = 0.65p.
How to obtain the sale price?The expression used to calculate the sale price is obtained applying the proportions in the context of the problem.
The price was 35% off, meaning that there was a discount of 35%, meaning that a percentage of 100 - 35 = 65% of the total price was paid, hence the expression used to calculate the sale price is given as follows:
S(p) = 0.65p.
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Transcribed image text: Question 4 A certain automotive dealer sells only cars and trucks, and the ratio of cars to trucks on the lotis 11 to 33. If there are currently 51 trucks for sale, how many cars does the dealer have for sale! 34 68 136 272 thierronse
If the ratio of cars to trucks on the lot is 11 to 33 and there are currently 51 trucks for sale, then there are 17 cars for sale
The ratio of cars to truck on the lot = 11 : 33
Total number of trucks for sale = 51 truck
Consider the number of cars for sale = x
Then the ratios will be
11/33 = x / 51
Cross multiply the terms in the equation
33x = 51 × 11
33x = 561
Move 33 to the right hand side of the equation
x = 561 / 33
Divide the terms
x = 17
Therefore, the number of cars does the dealer have for sale is 17
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When I add a number to another number four times as big the results is 30, find the first number
By using a system of equations of two variables we concluded that the first number was 6
Let the numbers be x and y and their sum gives z
The equation for the sum of 2 numbers:
x + y = z -(1)
We know, z = 30 and y = 4 times x = 4x
Putting values of y and z in equation (1), we get
x + 4x = 30
Solving for x, we get
5x = 30
x = 30/5 = 6
To get the value of y, put the value of x in y = 4x and we get
y = 4 x 6 = 24
So the real equation was
6 + 24 = 30
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