If 5x+3y=12 and 4x-5y=17, what is the value of y?
Answers
Step-by-step explanation:
5x+3y = 12 ...1
4x-5y = 17 ...2
...1 × 5 both sides of the equation
25x + 15y = 60 ...3
...2 × 3 both sides of the equation
12x - 15y = 51 ...4
...3 + ...4
25x + 15y + 12x -15y = 60+51
37x = 111
x = 111/37 = 3
replace x = 3 in ...1
y = .......
Related Questions
does anyone know the answer?????
Answers
Answer:
-3x + 7
Step-by-step explanation:
she used the y-intercept as the slope and the slope as the y- intercept.
Answer:
its y= -3x+7
Step-by-step explanation:
she used the x intercept for the y - intercept and the y- intercept for the c-intercept
Three girls (Zeva, Abby and Jenny) went to a hair salon. Each girl had their hair styled (curly, straight, and wavy) and colored (blonde, red, and black). From the clues below, which chart correctly matches the girl, the hairstyle and the color?
Answers
Answer:
You need to make the question again and include the chart.
Step-by-step explanation:
P L E A S E H E L P M E W I LL SC A M Y O U I F U T A K E M Y P O I N T S
Answers
Answer:
135c^7
Step-by-step explanation:
\(135c^7\) is the simplified equation of the given expression.
What is simplification?Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.
To simplify \(5c(3c^2)^3\), we need to apply the power rule of exponents, which states that \((a^m)^n = a^{(m*n)\).
In this case, we have \((3c^2)^3\), which means we need to multiply the exponent 3 by the exponent 2, giving us 6. So, we can rewrite the expression as:
\(5c(3c^2)^3 = 5c(3^3c^{(2*3)})\)
Simplifying further, we get:
\(5c(3^3c^6) = 5c(27c^6)\)
Finally, we can simplify by multiplying 5 and 27, and adding the exponents of c:
\(5c(27c^6) = 135c^{(1+6)} = 135c^7\)
Therefore, \(5c(3c^2)^3\) simplifies to \(135c^7\).
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help plz i will give all my point's
Answers
Answer:
B the answer is B I believe so
Total cookies sold were: 69
Gabby sold: 35
We don’t know how many Ross sold so his cookies are: B (until calculated)
Equation:
35+B=69
Option C is the answer.
We want to calculate the total amount of cookies and in order to do so, we must add 35 and B to calculate 69.
I can give you a more in depth explanation if you want just leave a comment! (Also no need to give any points). I also tutor, so if you need any math help I can leave my email in the comments.
A bot traveled 27 miles on 2 hours at this rate .how many miles will the boat travel in 1/2 hours?
Answers
Answer:
6.75
Step-by-step explanation:
27/4
Answer:
im pretty sure its 6.75
Step-by-step explanation:
Find the m
A
B
(4x - 26)
D
(2x + 18)
С
Answers
Someone help me pls thanks :)
Answers
Answer:
I think you need to add them.
Answer:
0.24
Step-by-step explanation:
Miles he drives: x
55.96+0.12x=49.96+0.16x
0.04x=6
x=0.24mi
When the sample of participants is reflective of the characteristics of the population, it is said to be?
Answers
It is claimed that the sample of participants is generalizable since it reflects the characteristics of the population.
What is Generalizability? Simply said, generalizability is a measurement of the applicability of a study's findings to a larger population or set of circumstances. It is considered that a study has strong generalizability if its findings may be applied broadly to a wide range of individuals or circumstances. Researchers use generalizability in a scholarly setting. It can be characterized as the extrapolation of findings and recommendations from a study done on a sample population to the entire population.To learn more about generalizable, refer to:
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During swim practice Brand swim six butterfly stroke laps and eight freestyle Laps. What is the ratio of freestyle apps to total laps? A. 6:14 B. 8:6 C. 8:14 D. 14:8
Answers
Answer:
C) 8 : 14
Step-by-step explanation:
From the Question, we have
Six butterfly stroke laps
Eight freestyle Laps.
Total number of laps = (6 + 8)laps
= 14 laps
Hence,
The ratio of freestyle laps to total laps is:
Freestyle laps : Total laps
= 8 : 14
Option C is correct.
80 divided by 60 times 4 times 0
Answers
Answer:
ummmmm this is very complacated
Step-by-step explanation:
1/4 of a box of erasers and you need to share them with a total of 3 people inculding yourself what fraction ofthe box should each person get
Answers
Answer:
1/12
Step-by-step explanation:
1/4*3
In this triangle, D is the midpoint of AB and E is the midpoint of BC. If DE = 20 = 1 and AC 22 +3, what is the length of AC ? A) 2.5 B) C) 4,5 ) D) 6 E) D A
Answers
The triangles BED and BCA are similar triangles because the sides BD and BA are on the same line, also BE and BC are on the same line.
Since the triangles are similar, there must be a proportion between their sides.
We are told by the instructions that D is the midpoint of AB, this means that AB is double the size of BD, and this proportion must remain in all of the sides from the small triangle to the bigger triangle.
That means that AC is double the size of DE:
\(AC=2(DE)\)We know that AC=2x+3 and that DE=2x-1, thus, substituting those values in the previous equation:
\(2x+3=2(2x-1)\)From this equation, we need to find x.
To solve for x:
-apply the distributive property on the right side of the equation:
\(2x+3=4x-2\)-subtract 2x to both sides of the equation:
\(3=4x-2x-2\)-combine the like terms on the right side:
\(3=2x-2\)-add 2 to both sides of the equation:
\(\begin{gathered} 3+2=2x \\ 5=2x \end{gathered}\)-divide both sides of the equation by 2:
\(\begin{gathered} \frac{5}{2}=\frac{2x}{2} \\ 2.5=x \end{gathered}\)Now that we know the value of x, we can find the value of AC:
\(\begin{gathered} AC=2x+3 \\ \text{substituting x=2.5} \\ AC=2(2.5)+3 \\ AC=5+3 \\ AC=8 \end{gathered}\)Answer: E)8
HELP ME FAST PLEASE I WILL GIVE 35 POINTS!!!
Answers
Answer:
1. angle 2, angle 4, angle 6
2. angle 1, angle 3 angle 5, angle 7
3. If 8 is congruent to 4 and 5 is a supplementary angle to 8, then 5 is a supplementary angle to 4
Step-by-step explanation:
8 and 2 are congruent by 2 being a vertical angle to 4
8 and 4 are congruent because they are Corresponding Angles
8 and 6 are vertical angles
8 and 1 form are angles that form a strait line
8 and 5 are angles that form a strait line
5 and 7 are vertical angles meaning that it is supplementary to 8
5 and 3 are alternate interior angles meaning that it is supplementary to 8
How many zero pairs can be created in the model below?
A. 0
B. 1
C. 2
D. 3
Answers
Answer:
D
Step-by-step explanation:
Question No. 5 Discuss the concept, advantages and disadvantages of Gaussian Quadrature in numerical integration.
Answers
Gaussian Quadrature is a powerful numerical integration method with high accuracy and efficiency. It is particularly advantageous for integrating functions with oscillatory or highly varying behavior. However, it requires prior knowledge of the integrand's behavior and is limited to integrals on specific intervals defined by the weight function.
Gaussian Quadrature is a numerical integration technique that aims to approximate definite integrals using a weighted sum of function values at specific points. The concept involves choosing specific nodes (points) and corresponding weights in a way that optimizes the accuracy of the approximation.
The advantages of Gaussian Quadrature include its ability to provide highly accurate results for a wide range of integrands, even with a relatively small number of nodes. It outperforms other numerical integration methods, such as the Trapezoidal Rule or Simpson's Rule, in terms of accuracy and convergence speed. Additionally, Gaussian Quadrature is well-suited for integrating functions with oscillatory or highly varying behavior.
However, Gaussian Quadrature also has some disadvantages. One limitation is that it requires knowledge of the integrand's behavior in order to select appropriate nodes and weights. This means that the method may not be as straightforward to apply for functions with unknown or complex behavior.
Another drawback is that the nodes and weights are specific to a particular weight function (usually the standard Gaussian weight function), which restricts its use to integrals defined on a specific interval. Adapting Gaussian Quadrature to integrals on non-standard intervals requires additional transformations.
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if you are given a box with sides of 7 inches, 9 inches, and 13 inches, what would its volume be?
Answers
To calculate the volume of a rectangular box, you multiply the lengths of its sides.
In this case, the given box has sides measuring 7 inches, 9 inches, and 13 inches. Therefore, the volume can be calculated as:
Volume = Length × Width × Height
Volume = 7 inches × 9 inches × 13 inches
Volume = 819 cubic inches
So, the volume of the given box is 819 cubic inches. The formula for volume takes into account the three dimensions of the box (length, width, and height), and multiplying them together gives us the total amount of space contained within the box.
In this case, the box has a volume of 819 cubic inches, representing the amount of three-dimensional space it occupies.
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if x+y=5,and xy=10, find the value of x2+y2
Answers
Answer:
Step-by-step explanation:
x+y=10-----(1)
xy=5------(2)
dividing (1) by(2)... we get!
x/y+ y/x=10/5
=>2
we have :\(x^{2} +y^{2} = x^{2} +y^{2} + 2xy -2xy = (x+y)^{2} -2xy = 5^{2} -2.10 =25-20=5\)
ok done. Thank to me :>
I am building birdhouses for all of my students for an upcoming project. If I complete 2 1/2 birdhouses in 2/3 of an hour of workwhat is my unit rate of birdhouses per bour?
Answers
Answer:
3 3/4
Step-by-step explanation:
convert to decimal
2.50/0.666
=3.75
Look at this information.
\(x \leqslant 0\)
1)Give an example of what the value of x could be.
2) Give a different example of what the value of x could be.
Answers
Answer:
1) 0
2) -1
Step-by-step explanation:
x ≤ 0, that means x is equal and less than 0 . so the numbers will start from 0,-1, -2 and so on
according to the 1990 census, those states with an above-average number of people, x, who fail to complete high school tend to have an above average number of infant deaths, y. in other words, there is a positive association between x and y. the most plausible explanation for this is
Answers
There are certainly hidden variables, which is the most likely explanation for this correlation. (C) States with large populations, for instance, will also have a larger percentage of infant death and high school dropouts.
What is a positive association?When the values of one variable tend to rise as the values of the other rise, two variables are said to be positively correlated.
When the values of one variable tend to fall as the values of the other rise, two variables are said to be negatively correlated.
A favorable connection occurs when the graph's line is advancing, as in Problem 1.
In this illustration, we make the assumption that the number of years of schooling and the expected pay are positively correlated.
So, in the given situation the most likely explanation for this correlation is that there are likely lurking variables.
For instance, states with big populations will also have a higher proportion of neonatal mortality as well as high school dropouts.
Therefore, there are certainly hidden variables, which is the most likely explanation for this correlation. (C) States with large populations, for instance, will also have a larger percentage of infant death and high school dropouts.
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Complete question:
According to the 1990 census, those states with an above average number X of people who fail to complete high school tend to have an above average number Y of infant deaths. In other words, there is a positive association between X and Y. The most plausible explanation for this association is
a. X causes Y. Thus, programs to keep teens in school will help reduce the number of infant deaths.
b. Y causes X. Thus, programs that reduce infant deaths will ultimately reduce the number of high school dropouts.
c. lurking variables are probably present. For example, states with large populations will have both a larger number of people who fail to complete high school and a larger number of infant deaths.
d. the association between X and Y is purely coincidental. It is implausible to believe the observed association could be anything other than accidental.
What is the measure of the missing angle?
280
1200
Answers
Answer:
32°Step-by-step explanation:
to understand the solving stepsyou need to know about:triangle contains 180°acute trianglesPEMDASequationgivenangles:28°,120°
to find:missing angle
let's solve:let missing angle be x
as we know
a triangle contains 180° (always)
so,
according to the question
x+28°+120°=180°
x+148°=180°
x=180°-148°
x=32°
Connor reads 3 pages every 4 minutes. At this rate, how many pages can he read in 30 minutes?
Answers
Answer:
He can read 22.5 pages.
Step-by-step explanation:
first: 30/4 = 7.5
second: 7.5(3) =22.5
---------- = --------------
4 min 30 min
3 x 30 = 4 x ?
90 = 4 x ?
? = 90/4 = 22 and 1/2
22 and half pages in half hour
The sail of a boat is in the shape of a right triangle. which expression shows the length, in meters, of the sail? the sail of a boat is a right triangle with an acute angle at the tip equal to 50 degrees and the side of the sail which is the hypotenuse to the right triangle is 7 meters long. 7(tan 50°) 7(sin 50°) tangent 50 degrees over 7 sine 50 degrees over 7
Answers
The expression for the length of the sail is x = 7( tan 50° ).
According to the given question.
The sail of a boat is in the shape of a right triangle.
And, the sail of a boat is a right triangle with an acute angle at the tip equal to 50 degrees and the side of the sail which is the hypotenuse to the right triangle is 7 meters long.
Now, the side that measures 7 meters would be the adjacent because its right next to the angle and its not the hypotenuse because its not the largest side
And, the side which we do not know the length to will be the opposite side because it is opposite from where the angle is.
So, we have the the measure of the adjacent side and the angle of the tip. And we have to find the expression for the length of the sail.
Let the length of the sail be x meters.
Now, in the given right angled triangle
We can say that
tan A = Opposite side/Adjacent side
⇒ tan 50° = x/7
⇒ x = 7( tan 50° )
Hence, the expression for the length of the sail is x = 7( tan 50° ).
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MARKING BRAINLIEST How many times will the decimal in the divisor move?
36.80 = 2.3
MARKING BRAINLIEST
Answers
Answer:
it will move once
Step-by-step explanation:
To test if x is a good predictor of y in Simple Linear Regression we need to determine whether:
A. the slope is significantly different from zero.
B. the intercept is significantly different from zero.
C. the response variable is significantly different from zero.
D. the predictor variable is significantly different from zero.
E. the error term is significantly different from zero.
F. the F test statistic is significantly different from zero
Answers
Option A is correct.
For testing, if x is a significant predictor of y in simple linear regression, we need to determine if the slope is significantly different from zero.
What is linear regression?
A statistical technique known as linear regression is used to represent the connection between a scalar answer and one or more explanatory factors. When there is just one explanatory variable, simple linear regression is employed; when there are numerous explanatory variables, multiple linear regression is utilized.
Based on the value of another variable, linear regression analysis makes predictions about the value of the first variable. The dependent variable is the one you're trying to forecast. The independent variable is the one you are utilizing to make a prediction about the value of the other variable.
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Mr.McMahon pays $880 for a $1000 bond paying bond interest at 9% compounded semi- annually and redeemable at $1000 in 20 years. If his desired yield was 8% compounded semi-annually, what semi-annual probability of default did he expect?
Answers
Mr. McMahon expected a semi-annual probability of default of 35.7% on the bond.
How to solve?
To solve this problem, we can use the formula for the present value of a bond:
PV = (C/r) ×[1 - 1/(1+r)²n] + F/(1+r)²n
where PV is the present value of the bond, C is the semi-annual coupon payment, r is the semi-annual yield rate, n is the number of semi-annual periods, and F is the face value or redemption value of the bond.
We know that Mr. McMahon paid $880 for a $1000 bond, so the present value of the bond is PV = $880. The redemption value of the bond is F = $1000, and the yield rate that he desired was r = 8% per year, compounded semi-annually. Therefore, the semi-annual yield rate is:
i = 0.08/2 = 0.04
We can use the formula to solve for the number of semi-annual periods:
PV = (C/i) ×[1 - 1/(1+i)²n] + F/(1+i)²n
$880 = ($45/i) ×[1 - 1/(1+0.04)²(220)] + $1000/(1+0.04)²(220)
Solving for i gives:
i = 0.0517 or approximately 5.17%
This is the semi-annual yield rate that Mr. McMahon actually received on the bond. To find the semi-annual probability of default that he expected, we can use the formula for the expected yield rate of a bond:
yield = (1 - probability of default) ×(yield rate on the bond) + (probability of default) ×(recovery rate)
where the recovery rate is the percentage of the face value that would be recovered in the event of default.
Assuming that the recovery rate is zero (meaning that in the event of default, Mr. McMahon would receive nothing), we can solve for the probability of default:
0.08 = (1 - p) ×0.0517 + p ×0
Solving for p gives:
p = 0.357 or approximately 35.7%
Therefore, Mr. McMahon expected a semi-annual probability of default of 35.7% on the bond.
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Janice combines 2 1/2 cups of white flour and 1 1/2 cups of whole wheat flour. how much flour does she use all together?
Answers
Please help! This is due in 40 minutes!
Answers
Answer:
A=1/2
Step-by-step explanation:
the point A is half way to the point of 2 therefore A is 1/2
WILL MARK BRAINLIST!!
I NEED THE ANSWER STEP BY STEP.
find the smallest number by which 1323 must be divided so as to get a perfect square number. Also, find the square root of the square number so obtained.
Answers
Answer:
It is 49. You will know it is right down here:
Step-by-step explanation:
1323 when factorised = 3 *3*3*7*7
Therefore it is to be divided by 7*7 = 49
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In a poker hand consisting of 5 cards, find the probability of holding (a) 3 face cards; (b) 3 clubs and 2 diamonds. (a) (Round to four decimal places as needed.)
Answers
(a) In a poker hand consisting of 5 cards, the probability of holding 3 face cards is to be calculated. Since a deck of cards contains 52 cards, there are only 12 face cards, which means that the total number of ways of getting 3 face cards from 12 is; 12C3.
The remaining two cards may be any of the 40 non-face cards, so there are 40C2 ways of choosing those two cards. Hence the total number of ways of obtaining three face cards and two non-face cards is; 12C3 × 40C2. Hence the probability of getting three face cards and two non-face cards is; 12C3 × 40C2 / 52C5 = 0.0043. Hence the answer is 0.0043. Therefore the probability of holding three face cards in a poker hand consisting of 5 cards is 0.0043. (Rounded to four decimal places as needed).
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