y= -7 and -4 + 2y = -2
Answers
Answer:
Hope this helps! :)
Related Questions
One number is 2 less than 3 times another. If the sum of the two number is 14, find the numbers.
Answers
Solution:
Given:
A word problem.
To solve the question, we develop the statements into mathematical equations.
Hence,
Let the two numbers be represented by x and y
where;
x is one number
y is another number
\(\begin{gathered} \text{One number is 2 less than 3 times another.} \\ \text{Mathematically means;} \\ x=3y-2 \\ R\text{earranging, th}e\text{ equation becomes; }x-3y=-2\ldots\ldots\ldots\ldots.(1) \\ \text{The sum of the two numbers is 14.} \\ \text{Mathematically means;} \\ x+y=14\ldots\ldots\ldots\ldots\ldots(2) \end{gathered}\)
Solving both equations generated simultaneously, using the elimination method, we subtract equation (1) from equation (2).
That is equation (2) - equation (1);
\(\begin{gathered} x-3y=-2\ldots\ldots\ldots\ldots\text{.}\mathrm{}(1) \\ x+y=14\ldots\ldots\ldots\ldots\ldots\text{.}(2) \\ \text{equation (2)-(1);} \\ x-x+y-(-3y)=14-(-2)_{} \\ y+3y=14+2 \\ 4y=16 \\ \text{Dividing both sides by 4,} \\ y=\frac{16}{4} \\ y=4 \end{gathered}\)
Substituting the value of y gotten into equation (2) to solve for x,
\(\begin{gathered} x+y=14 \\ x+4=14 \\ x=14-4 \\ x=10 \end{gathered}\)
Hence, the solution to the equations is;
\((x,y)=(10,4)\)Therefore, the numbers are 10 and 4.
7) Which number line shows the solution to inequality –4k + 5 > 21 ?
Answers
Answer:
Its C, the answer with the link is a virus so don't click that !
Step-by-step explanation:
What is 0.12 as a percent?
0.12%
120%
1.20%
12%
Answers
Answer:
12% :)
Step-by-step explanation:
0.12 x 100 = 12%
Have an amazing day!!
Please rate and mark brainliest!!
Identify the variables: 8c * 7c - 10p + 12
Answers
9514 1404 393
Answer:
c, p
Step-by-step explanation:
When you remove the numbers and the math operations (multiplication, addition, subtraction), what is left are the variables. Here, the variables are c and p.
Graph f(x) = -3/4x - 4.
Answers
Answer:
PLS HELP ME 7
Step-by-step explanation:
Which equation is parallel to the graph of y = 2x-5 and goes through the point (3,9)
And why is it right?
Answers
Answer:
Step-by-step explanation:
y = 2x - 5
Slope of line is 2.
Slope of any parallel to the line is also 2.
You chose y = 3x - 5, which has a slope of 3.
Point-slope equation for line of slope 2 passing through (3,9):
y-9 = 2(x-3)
The answer choices are all in slope-intercept form, so rearrange the equation.
y = 2x - 6 + 9 = 2x + 3
For what values of x is the expression below defined?
√x+5+√1-x
A. -5
OB. 5> x≤-1
C. 5>x>1
D. 5≤x≤1
Answers
Answer:
The expression √x+5+√1-x is defined for all values of x such that the value under the square root sign is non-negative. We can find the values of x that satisfy this condition by considering each of the square roots separately.
For the first square root, the value under the square root must be non-negative, so we have the following inequality:
x + 5 ≥ 0
x ≥ -5
For the second square root, the value under the square root must be non-negative, so we have the following inequality:
1 - x ≥ 0
x ≤ 1
Therefore, the expression is defined for all values of x that satisfy both of these inequalities. This means that the expression is defined for values of x in the range -5 ≤ x ≤ 1. The correct answer is therefore option D.
8. You have $15 in five-dollar bills and one-dollar bills. Let x represent the number of five-dollar bills you
have and y represent the number of one-dollar bills you have.
a. Write an equation that represents all the possible combinations of five-dollar lbills and one-dollar
bills you could have with $15.
b. Graph this equation to show all the different dollar bill combinations.
c. What do the ordered pairs on the graph represent?
d. How many one-dollar bills would you have if you have 2 five-dollar bills?
e. How many five-dollar bills would you have if you have 10 one-dollar bills?
f. Find and describe the x'and y-intercepts for this context.
Answers
Answer:
Below
Step-by-step explanation:
a.
5x + y = 15
b.
I can't put a graph here, but it is a straight line through (3, 0) and (0,15).
c.
The ordered pairs on the graph represent the possible combinations of 5 dollar bills (x-coordinate) and 1 dollar bills (y-coordinate) you can have summing to $15.
The valid pairs are: (3, 0), (2, 5), (1, 10), (0, 15)
d.
If you have 2 $5 bills, you will have 5 $1 bills (from the pair (2, 5)).
e.
If you have 10 $1 bills, you will have 1 $5 bill (from the pair (1, 10)).
f.
The x-intercept is (3, 0); this ordered pair is when we have 3 $5 bills and no $1 bills.
The y-intercept is (0,15); this ordered pair is when we have 15 $1 bills and no $5 bills.
Nora loves to play the bridge builders video game, where players gain and lose points by building safe and unsafe bridges. in level 1, nora earned 16 points because her bridge passed inspection. then, she lost 25 points because part of her bridge collapsed! what was nora's score at the end of level 1?
Answers
Answer:
-9
Step-by-step explanation:
16-25=-9
Answer: -9
Step-by-step explanation:
Matrix multiplication is not commutative. Why?
Answers
Answer:
For matrix multiplication to work, the columns of the second matrix have to have the same number of entries as do the rows of the first matrix. ... In particular, matrix multiplication is not "commutative"; you cannot switch the order of the factors and expect to end up with the same result.
You are sitting in a classroom next to the wall looking at the blackboard at the front of the room. The blackboard is 12 ft
long and starts 3 ft from the wall you are sitting next to. Show that your viewing angle is
a=cot^-1 x/15 - cot^-1 x/3
if you are a ft from the front wall.
Answers
The viewing angle a of a person sitting a distance x from the front wall of a classroom with a blackboard that is 12 ft long and starts 3 ft from the wall they are sitting next to can be calculated as: a = cot-1(x/15) - cot-1(x/3)
To understand this calculation, let's consider a diagram of the classroom.
We can see from the diagram that the blackboard has length 12 ft, starting 3 ft from the wall the student is sitting next to. The student is sitting a distance x from the front wall.
The viewing angle a is the angle between the wall the student is sitting next to and the line from the student to the front wall. This angle can be calculated using the tangent of the opposite side (front wall) and adjacent side (wall the student is sitting next to).
We can therefore write: a = tan-1(12/3) - tan-1(x/3)
Simplifying this equation, we can rewrite it as: a = cot-1(x/15) - cot-1(x/3).
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For class 6 a)a square can be taught of as a special rectangle. b)a rectangle can be thought of as a special parallelogram. c)a square can be thought of as a special rhombus. d) squares , rectangles , parallelograms are all quadrilaterals. e) square is also a parallelogram. please answer fast
Answers
Correct statements are:
a) A square can be thought of as a special rectangle.
d) Squares, rectangles, and parallelograms are all quadrilaterals.
e) A square is also a parallelogram.
Incorrect statements are:
b) A rectangle cannot be thought of as a special parallelogram. A rectangle is a special type of quadrilateral, but it does not have the same properties as a parallelogram.
c) A square cannot be thought of as a special rhombus. While a square is a special type of rhombus, not all rhombuses are squares.
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(a+b)^2hiiiiiiiiiiiiii
Answers
Answer:
a^2+2ab+b^2 is the formula
A total of 25 trials of the simulation were performed. The number of makes in each set of 10 simulated shots was recorded on the dotplot. What is the approximate probability that a 47% shooter makes 5 or more shots in 10 attempts?.
Answers
The approximate probability that a 47% shooter makes 5 or more shots in 10 attempts is 12/25
Given,
Number of trials of the simulation were performed = 25
Number of set of simulated shots = 10
We have to find the approximate probability that a 47% shooter makes 5 or more shots in 10 attempts;
The dots in the 5 shot mark is 9, 6 shot mark is 2, and 7 shot mark is 1.
Now the approximate probability that a 47% shooter makes 5 or more shots in 10 attempts can be calculated below:
P(x5) = (dots in 5 short mark + dots in 6 shot mark + dots in 7 short mark) / 25
= (9 + 2 + 1) / 25
= 12 / 25
Therefore, the approximate probability that a 47% shooter makes 5 or more shots in 10 attempts is 12/25
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If a test of a hypothesis has a type i error probability (alpha) of 0.01 it means that?
Answers
If a test of a hypothesis has a type I error probability (alpha) of 0.01, it means that there is a 1% chance of rejecting the null hypothesis when it is actually true.
When conducting hypothesis testing, we are trying to make an inference about a population based on sample data. There are two types of errors that can occur:
Type I Error: This occurs when we reject the null hypothesis (H0) when it is actually true. In other words, we falsely conclude that there is a significant effect or relationship when there is none in the population. The probability of committing a Type I error is denoted as alpha (α) and is often set before conducting the test.
In this case, if the type I error probability (alpha) is 0.01, it means that we are willing to tolerate a 1% chance of incorrectly rejecting the null hypothesis when it is actually true. We set the significance level at 0.01, which represents the maximum acceptable level of making a Type I error.
Type II Error: This occurs when we fail to reject the null hypothesis (H0) when it is actually false. In other words, we fail to detect a significant effect or relationship when one exists in the population. The probability of committing a Type II error is denoted as beta (β).
It is important to strike a balance between Type I and Type II errors based on the context and consequences of the study. The choice of the significance level (alpha) reflects the trade-off between the risks of making Type I and Type II errors.
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The correct statement is: "If the null hypothesis is true, you reject it 1% of the time."
In hypothesis testing, the Type I error refers to rejecting the null hypothesis when it is actually true. The significance level, often denoted by α (alpha), determines the probability of making a Type I error.
A significance level of 0.01 means that there is a 1% chance of rejecting the null hypothesis when it is true. This signifies that even if the null hypothesis is correct, there is still a small probability (1%) of observing a result that is extreme enough to lead to the rejection of the null hypothesis.
- Type I error: Rejecting the null hypothesis when it is true.
- α (alpha): The probability of making a Type I error.
- Significance level of 0.01: There is a 1% chance of making a Type I error, or rejecting the null hypothesis when it is true.
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If a test of hypothesis has a Type I error probability (alpha) of 0.01. it means that If the null hypothesis is false, you don't reject it 1% of the time. if the null hypothesis is true, you reject it 1% of the time. if the null hypothesis is true, you don't reject it 1% of the time. if the null hypothesis is false, you reject it 1% of the time.
PLEASE PLEASE HELP ME ! 12 DAYS OF SCHOOL LIKE AND IM BEHINDDDDD
Answers
Answer:
The answer to the first one is A, the answers to the second one are 750, 250, 625, and 325, respectively.
Step-by-step explanation:
5/16 = 20/x
5x = 320
x = 64
30/80 = 3/8
10/80 = 1/8
25/80 = 5/16
15/80 = 3/16
3/8*2000 = 750
1/8*2000 = 250
5/16*2000 = 625
3/16*2000 = 325
b. what rule of probability is illustrated? multiple choice 2 complement rule classical definition of probability empirical definition of probability addition rule special addition rule
Answers
i) The picture is called a Venn diagram.
The correct answer is an option (a)
ii) The rule of probability illustrated in the Venn diagram is the cmplement rule.
The correct answer is an option(a)
i)
We know that a Venn diagram is nothing but a simple way to visualize events and the relationships between them using rectangles and circles.
It is used to represent the sets, relation between the sets and operation performed on them, in a pictorial way.
Thus, the picture in the question is called a Venn diagram.
The correct answer is an option (a)
ii)
Consider a case where we are finding out the probability that a certain event will not occur.
An event A does not occur is a separate event that consists of all the possible outcomes that are not in A
This is called the complement event of A and represented by A'
Thus the probability rule is called the complement rule which states that the probability that an event does not occur is 1 minus the probability that it does occur.
P(B') = 1 - P(B)
Therefore, the correct answer is an option(a)
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Find the complete question below.
If g(t) = 2/ (t + 3), then g (?) = 2/ (4a + 3)
Answers
Answer:
may be the answer is g(4a)
Step-by-step explanation:
g(4a) = 2/(4a +3)
't' is replaced by '4a'.
Which values of x are solutions to the equation below 15x^2 - 56 = 88 - 6x^2?
a. x = -4, x = 4
b. x = -4, x = -8
c. x = 4, x = 8
d. x = -8, x = 8
Answers
A quadratic equation is a polynomial equation of degree 2, which means the highest power of the variable is 2. It is generally written in the form: ax^2 + bx + c = 0. Option (d) x = -8, x = 8 is the correct answer.
The given equation is 15x^2 - 56 = 88 - 6x^2.
We need to find the values of x that are solutions to the given equation.
Solution: We are given an equation 15x² - 56 = 88 - 6x².
Rearrange the equation to form a quadratic equation in standard form as follows: 15x² + 6x² = 88 + 56 21x² = 144
x² = 144/21 = 48/7
Therefore x = ±sqrt(48/7) = ±(4/7)*sqrt(21).
The values of x that are solutions to the given equation are x = -4/7 sqrt(21) and x = 4/7 sqrt(21).
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The given equation is 15x² - 56 = 88 - 6x². Values of x are solutions to the equation below 15x² - 56 = 88 - 6x² are x = -2.62, 2.62 or x ≈ -2.62, 2.62.
Firstly, let's add 6x² to both sides of the equation as shown below.
15x² - 56 + 6x² = 88
15x² + 6x² - 56 = 88
Simplify as shown below.
21x² = 88 + 56
21x² = 144
Now let's divide both sides by 21 as shown below.
x² = 144/21
x² = 6.86
Now we need to solve for x.
To solve for x we need to take the square root of both sides.
Therefore, x = ±√(6.86).
Therefore, the values of x are solutions to the equation below are x = -2.62, 2.62 or x ≈ -2.62, 2.62.
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What percent of 75 is 80?
Answers
Answer:
\(106.67\text{\%}\)Explanation:
We want to find what percent of 75 is 80;
to get that we will divide 80 by 75 and multiply by 100%.
\(\begin{gathered} P=\frac{80}{75}\times100\text{\%} \\ P=1.0667\times100\text{\%} \\ P=106.67\text{\%} \end{gathered}\)Therefore, 80 is 106.67% of 75.
\(106.67\text{\%}\)a manufacturer wishes to set a standard time required by employees to complete a certain process. times from 21 employees have a mean of 6 hours and a standard deviation of 2 hours. test if the mean processing time exceeds 5.5 hours. what is the -value of the test (round off to second decimal place)? assume normal population.
Answers
The -value of the test is 1.90. This indicates that the mean processing time is significantly greater than 5.5 hours, supporting the manufacturer's desire to set a standard time required by employees to complete a certain process
The t-value will be equal to 1.39 for the given statistics.
How to calculate the t-value?To test if the mean processing time exceeds 5.5 hours, we can use a one-sample t-test.
The null hypothesis is that the mean processing time is less than or equal to 5.5 hours:
H0: µ ≤ 5.5
The alternative hypothesis is that the mean processing time is greater than 5.5 hours:
Ha: µ > 5.5
We will use a significance level of 0.05.
The formula for the t-test statistic is:
t = (X - µ) / (s / √n)
Where:
X = sample mean
µ = hypothesized population mean
s = sample standard deviation
n = sample size
Substituting the given values, we get:
t = (6 - 5.5) / (2 / √21) = 1.386
The degree of freedom for the t-test is n-1 = 20.
Using a t-table or calculator, the p-value associated with a t-value of 1.386 and 20 degrees of freedom is 0.093.
Since the p-value (0.093) is greater than the significance level (0.05), we fail to reject the null hypothesis. Therefore, there is not enough evidence to suggest that the mean processing time exceeds 5.5 hours.
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Eighty students try out for the school play. Of these students, 60% are given roles in the play. Males are assigned 25% of the roles in the play. How many males have a role in the play?
Answers
Answer:
20
Step-by-step explanation:
(1/4) × 80
=20
there fore, 20 males have role in the pkay
Answer:
Solution in photo :)
Step-by-step explanation:
Which expression represents the volume of the prism in terms of w, the width of the base? 5w2 cubic units 6w2 cubic units 5w3 cubic units 6w3 cubic units
Answers
The expression that represents the volume of the rectangular prism, in terms of the width w, is given as follows:
6w³ cubic units.
How to obtain the volume of a rectangular prism?A rectangular prism is composed by three dimensions, given as follows:
Length l.Width w.Height h.The volume of the rectangular prism is given by the multiplication of these three dimensions, as follows:
V = lwh.
From the image given at the end of the answer, the dimensions of the prism are given as follows:
Width w.Length l = 2w.Height h = 3w.Hence the expression that gives the volume of the rectangular prism is given as follows:
V = w x 2w x 3w = 6w³ cubic units.
Missing InformationThe prism is given by the image shown at the end of the answer.
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The total of your bill at the restaurant is $42.50.You want to leave a 10%tip. What is the amount of money you would leave for the tip. Brainly
Answers
Explanation is in the file
tinyurl.com/wpazsebu
$42.50 x 0.1= $4.25 tip
pls answer my module i give 10 pts for this
Answers
Step-by-step explanation:
what is the problem here you don't understand ?
you understand the words "equality" and "inequality" ?
this is all about the question, if something is equal to something else or not - meaning of they are the same or at least the same size.
an expression without an equal ("=") or unequal sign ("<", ">", ">=", "<=", "<>" - if you don't understand these symbols, please ask, they are simply basic keyboard symbols for the scientific symbols) is not any form of that - no equality, and no inequality.
so,
1. is NOT
2. is NOT because it has an equality symbol
3. is a quadratic inequality (when doing the multiplication of both bracket terms, there will be an x×x=x² part) - it has a ">" (greater) symbol
4. is a quadratic inequality (there is a x² term as highest power of x included) - it has a "<=" (smaller or equal) symbol
5. is a quadratic inequality (there is a x² term as highest power of x included) - it has a ">" (greater) symbol
Factor x2 - 4x + 5.
O Prime
O (x + 5)(x - 1)
O (x - 5)(x - 1)
O (x + 5)(x + 1)
Answers
Answer:prime
Step-by-step explanation:
I just took the test and got it right
Look at this graph: What is the slope? Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Answer:
1/2
Step-by-step explanation:
Pick two points on the graph that are easy to read. A point is easiest to read if it lies on the intersection of grid lines.
For example, pick (10, 50) and (30, 60) which are easy to read.
slope = rise/run
rise = change in y
run = change in x
To go from (10, 50) to (30, 60), you go 20 units right. "20 units right" is a change of +20 units in x. The run is 20.
To go from (10, 50) to (30, 60), you go 10 units up. "10 units up" is a change of +10 units in y. The rise is 10.
slope = rise/run = 10/20
slope = 1/2
The distribution of ages of runners in a marathon is approximately normal. The oldest participant was 80 and the youngest was 13. Which of the following statements is true of the mean and median ages of the runners?
The mean is less than the median.
The mean is greater than the median.
The mean and median are approximately equal.
The actual ages of all runners are needed to decide.
Answers
Answer:
The mean and median are approximately equal. (C)
You would think its B, but apparently, it's not. I took it and C is correct.
ED2021 :)
The mean and median are approximately equal. Option C is correct.
Given that,
The distribution of ages of runners in a marathon is approximately normal. The oldest participant was 80 and the youngest was 13. Which of the following statements is true of the mean and median ages of the runners to be determined,
The mean of the values is the ratio of the total sum of values to the number of values.
Here,
The required option is the mean and median are approximately equal, because, there is data available between 80 and 13 when calculations are done the value of the mean and median lies close to each other.
Thus, the mean and median are approximately equal. Option C is correct.
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Simplify the expression:1n (e^5/12)Round your answer to two decimal points.
Answers
Given:
\(\ln (\frac{e^5}{12})\)\(\ln (\frac{a}{b})=\ln (a)-\ln (b)\)Then:
\(\ln (\frac{e^5}{12})=\ln e^5-\ln 12\)\(\ln a^b=b\ln a\)\(\begin{gathered} \ln (\frac{e^5}{12})=\ln e^5-\ln 12 \\ =5\ln e-\ln 12 \\ =5(1)-2.4849 \\ =5-2.4849 \\ =2.515 \\ =2.52 \end{gathered}\)simplify 3 to the -2 power
Answers
Answer: 0.1 decimal 1/9 fraction
Step-by-step explanation:
Answer:
0.1 or 1/9 i think so but I am sure