WHATS X AND WHY URGENT !!!!!!
4x + 7.8y = 7.85
- 8x - y = -4.75
Answers
Answer:
X=.5, y=.75
Step-by-step explanation:
Answer:
x=0.5, y=0.75Step-by-step explanation:
Method : Substitution Method
[tex]\begin{bmatrix}4x+7.8y=7.85\\ -8x-y=-4.75\end{bmatrix}\\\\[/tex]
Isolate in for 4x +7.8y=7.85 and solve
[tex]4x+7.8y=7.85\\\mathrm{Multiply\:both\:sides\:by\:}100\\\\4x\times\:100+7.8y\times\:100=7.85\times\:100\\\\Refine\\400x+780y=785\\\\\mathrm{Subtract\:}780y\mathrm{\:from\:both\:sides}\\400x+780y-780y=785-780y\\\\Simplify\\400x=785-780y\\\\\mathrm{Divide\:both\:sides\:by\:}400\\\frac{400x}{400}=\frac{785}{400}-\frac{780y}{400}\\\\Simplify\\x =\frac{157-156y}{80}\\\\\mathrm{Substitute\:}x=\frac{157-156y}{80}\\\\\begin{bmatrix}-8\times\frac{157-156y}{80}-y=-4.75\end{bmatrix}[/tex]
[tex]Simplify\\\\\begin{bmatrix}\frac{-157+146y}{10}=-4.75\end{bmatrix}\\\\Isolate\:y \:for \:\frac{-157+146y}{10}=-4.75\\\\\mathrm{Multiply\:both\:sides\:by\:}10\\\frac{10\left(-157+146y\right)}{10}=10\left(-4.75\right)\\\\-157+146y=-47.5\\\\-157+146y+157=-47.5+157\\\\Simplify\\146y=109.5\\\\\mathrm{Divide\:both\:sides\:by\:}146\\\frac{146y}{146}=\frac{109.5}{146}\\\\Simplify\\y=0.75\\\\\mathrm{For\:}x=\frac{157-156y}{80}\\\\\mathrm{Substitute\:}y=0.75\\\\x=\frac{157-156\times\:0.75}{80}\\\\x=0.5,\:y=0.75[/tex]
Related Questions
PLEASE HELP!!!!!!!! GIVING BRAINLIEST, FIVE STAR RATING, AND A SHOUTOUT FOR MY NEXT QUESTION.
errrr.... the shoutout for this one is for purpl!
Answers
Answer:
the answer is 12 inches long
The base area of a rectangular prism is 56 square feet. If the height of the prism is 3 feet, what is the total volume of the prism (in cubic feet)?
Answers
Solution:
V=Axh
V= (56 square feet) x (3 feet)
V= 168 cubic feet
Help!!!!!! Which function is best represented by this graph
Answers
Answer:j
Step-by-step explanation:
Answer:
J
Step-by-step explanation:
What is the smallest number of people you need for
the probability to be 100 percent that at least two of
them were born in the same month?
Answers
I believe The answer would be two if this is the correct question
Part B if the height of each prism is 10 Cm what is the surface area prism
Answers
Answer:
Prism A:
[tex]Area = 288cm^2[/tex]
Prism B:
[tex]Area =250cm^2[/tex]
Step-by-step explanation:
Given
See attachment for prisms
[tex]Height(h) = 10cm[/tex]
Required
Determine the surface area of both prisms
Prism A is triangular and as such, the surface area is:
[tex]Area = 2 * A_b + (a + b + c) * h[/tex]
Where
[tex]A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}[/tex]
and
[tex]s = \frac{a + b + c}{2}[/tex]
Such that a, b and c are the lengths of the triangular sides of the prism.
From the attachment;
[tex]a = 8; b =6; c =10[/tex]
So, we have:
[tex]s = \frac{a + b + c}{2}[/tex]
[tex]s = \frac{8 + 6 + 10}{2}[/tex]
[tex]s = \frac{24}{2}[/tex]
[tex]s = 12[/tex]
Also:
[tex]A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}[/tex]
[tex]A_b = \sqrt{12 * (12 - 8) * (12 - 6) * (12 - 10)}[/tex]
[tex]A_b = \sqrt{576}[/tex]
[tex]A_b = 24[/tex]
So:
[tex]Area = 2 * A_b + (a + b + c) * h[/tex]
[tex]Area = 2 * 24 + (8 + 6 + 10) * 10[/tex]
[tex]Area = 288cm^2[/tex]
Prism B is a rectangular prism. So, the area is calculated as:
[tex]Area = 2 * (ab + bh + ah)[/tex]
From the attachment
[tex]a = b = 5[/tex]
[tex]h =10[/tex]
So:
[tex]Area =2 * (5 * 5 + 5 * 10 + 5 * 10)[/tex]
[tex]Area =250cm^2[/tex]
Parts being manufactured at a plant are supposed to weigh 65 grams. Suppose the distribution of weights has a Normal distribution with mean 75 grams and a standard deviation of 22 grams. Quality control inspectors randomly select 144 parts, weigh each, and then compute the sample average weight for the 144 parts. Find The probability that the mean weight of these 144 parts is more than 80 grams or less than 70 grams is (Round to two decimals throughout and write as a % to 2 decimal places)
Answers
Answer:
0.64%.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 75 grams and a standard deviation of 22 grams.
This means that [tex]\mu = 75, \sigma = 22[/tex]
Sample of 144:
This means that [tex]n = 144, s = \frac{22}{\sqrt{144}} = 1.8333[/tex]
More than 80 or less than 70:
Both are the same distance from the mean, so we find one probability and multiply by 2.
The probability that it is less than 70 is the pvalue of Z when X = 70. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{70 - 75}{1.8333}[/tex]
[tex]Z = -2.73[/tex]
[tex]Z = -2.73[/tex] has a pvalue of 0.0032
2*0.0032 = 0.0064.
0.0064*100% = 0.64%
The probability is 0.64%.
PLEASE HELP FAST AND THANK YOU! AND NO LINKS!
Can 60°, 60°, 60° be the measures of an acute isosceles triangle?
Answers
Answer:
Yes
Step-by-step explanation:
Triangle angles have to add up to 180
Answer:
No
Step-by-step explanation:
isosceles triangle have two equal angle and one unequal angle.
the above triangle would be an acute equilateral triangle
The product of seven plus two and eight minus two
Answers
Answer:
56
Step-by-step explanation:
type in calculator 7*((2+8)-2)
helpppppppppppp pleaseeeeeeeeeeeeew
Answers
Answer:
volume of cylinder = πr^2h
=π (2)^2 * 5
= π* 4*5
= 20π unit^3
or
= 3.14* 4*5 = 62.8 unit^3
if the square is directly proportional to w and z =4 when w =8
Answers
Answer:
when you calculate the value of w is z= 5
Step-by-step explanation:
A χ2 goodness-of-fit test was used to test the hypothesis that students at a local university select majors in the same proportions as other universities in the state. A chi-square test statistic of χ2=45.6 was calculated with a corresponding p-value of 0.005. Which of the following is correct?
There is sufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.
There is sufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.
A
There is sufficient evidence to conclude that students at the local university select majors in the same proportions as do students in the rest of the state.
There is sufficient evidence to conclude that students at the local university select majors in the same proportions as do students in the rest of the state.
B
There is insufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.
There is insufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.
C
There is insufficient evidence to conclude that students at the local university select majors in the same proportions as do students in the rest of the state.
There is insufficient evidence to conclude that students at the local university select majors in the same proportions as do students in the rest of the state.
D
Students at the local university select majors in the same proportions as do students in the rest of the state.
Answers
Answer: A. There is sufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.
Step-by-step explanation:
Brandon has four more than 3 times the amount of money that Dale has. Together they have $44. What equation represents this? How much money does Dale have? How much money does Brandon have?
Answers
Answer:
Equation: 4 + 3n. Dale's Money: $7.3¢ Brandon's money: $25.9¢Step-by-step explanation:
Equation
Let "n" represent the number. Then more indicates addition, and times indicates multiplication. With that said, the answer is 4 + 3n.
Dale's Money
Given: $44 in total
44 ÷ 2 (To know how much they have equally)
22
22 ÷ 3 (Then you divide by 3 because Brandon has 3 times his, the opposite of multiplication is division.)
7.3
Therefore, Dale has $7.3¢
Brandon's money
Given: 4 + 3n. Dale has 7.3
Solve: 7.3 × 3 ( Since Brandon has four more than 3 times the amount of money that Dale has, multiply that and 3)
21.9 (Then add four because Brandon has four more...)
25.9
Therefore, Brandon has $25.9¢
The amount that Brandon and Dale have is $34 and $10, respectively.
What is an equation?An equation is formed when two expressions are equated with each other with the help of an equal sign.
Let the amount of money that Brandon has be x, and Dale has be y.
As it is given that the sum of the total amount they both had is $44. therefore, the equation that can represent the total amount both of them had is
[tex]x + y = \$44[/tex]
Now, according to the first statement, Brandon has four more than 3 times the amount of money that Dale has. therefore, the equation can be represented as,
[tex]x = 4 + 3y[/tex]
Further, as got the two-equation solving the two equations. We have the value of x, therefore, substitute the value of x in the first equation,
[tex]x+y = 44\\\\(4 + 3y )+y= 44\\\\4+4y=44\\\\4y = 40\\\\y = 10[/tex]
Now, substitute the value of y in the second equation we get,
[tex]x = 4 + 3y\\\\x = 4 + 3(10)\\\\x = 34[/tex]
Hence, The amount that Brandon and Dale have is $34 and $10, respectively.
Learn more about Equation:
https://brainly.com/question/24944275
please help i need help
Answers
Answer:
78 I think
Step-by-step explanation:
simply look at the second and third wight see the pattern wich is 7.8 I think and subtract that from the first answer
These three side lengths make a triangle.
3 cm, 5 cm, 9 cm
A. True
B. False
Answers
Answer:
aa
Step-by-step explanation:
aaaaaaaaa i need points sorry
y = 5x + 4 and y =- 5x -6
Answers
Answer:
there you o plz can u mark me brainlest
Step-by-step explanation:
5x+4 -5x-6
m=5 m=-5
Somebody please help me. This is geometry. The goal is to find the missing side with A similarity statement. But the more I try on this, it becomes more confusing. Please help. Thx.
Answers
Answer:
50Step-by-step explanation:
Given:
qrst ~ nkpmThe ratio of corresponding sides (consider the order of letters in the name of figures):
rs/ kp = qt / nmrs / 35 = 60 / 42rs = 35*60/42rs = 50Answer:
Solution given:
qrst~nkpm
since the side of similar quadrilateral are proportional so
qt/mn=rs/kp
60/42=?/35
?=60/42×35=50
missing side =50 is your answer
Which of the following is equivalent to the expression?
Answers
Answer:
I did not understand your question.
But the answer is 40.0625
Answer:
we add the powers to have 4-6 =-2
4 to power -2 which gives 0.0625
Select all the correct statements.
Answers
Answer:
C,D,E,F
Step-by-step explanation:
A amplitude is 2
B period is 4pi
Answer:
f option is write
Step-by-step explanation:
because it is true
mark me brainlist
Find the distance between the points. (-7,8) (7,8)
PLEASE H E L P.
Answers
Answer:
14
Step-by-step explanation:
Hope this Helps!!!!!
form the largest and the smallest 4 digit numbers using each of the digits 9,1,0,5 only once
Answers
Answer:
smallest: 1059
largest: 9510
Please help :)
And explain how
Find the value of 5x + 3y when x = 6 and y = 7
Answers
Answer:
Answer is 51
Step-by-step explanation:
5(6) + 3(7)
30 + 21
51
Answer:
first you woub sub 6 into x and 7 into y then you would multiple 5 and 6 to get 30 and then multiple 3 and 7 to get 21. lastly add 30 and 21 to give a total of 51
Step-by-step explanation:
5x+3y
5(6)+3(7)
30+21
51
hope this helps
4n = 2n+6 I really need help
Answers
Mr. Nelson sold a car for $1,380 that cost
him $1,500. What was his percent of loss
based on the cost?
Answers
Answer:
The loss is $120 and the loss percentage is 8%.
Step-by-step explanation:
Given that,
SP of a car = $1,380
CP of a car = $1,500
As CP > SP, it means there is a loss in selling of that car.
Loss = CP - SP
= $1,500 - $1,380
= $120
Loss percentage,
[tex]\%=\dfrac{loss}{CP}\times 100\\\\=\dfrac{120}{1500}\times 100\\\\=8\%[/tex]
Hence, the loss is $120 and the loss percentage is 8%.
Find the 4th term in the sequence
with the following definition:
a1 = 0
an = 2(an-1 -3)
Answers
Answer:
-42
Step-by-step explanation:
[tex]a_{1}=0\\a_{n}=2(a_{n-1}-3)\\a_{2}=2(a_{1}-3)=2(0-3)=-6\\a_{3}=2(a_{2}-3)=2(-6-3)=-18\\a_{4}=2(a_{3}-3)=2(-18-3)=-42[/tex]
(10x - 4)=20
Question: What value of x makes the equation true
Answers
Answer:
x = 10.4
Step-by-step explanation:
1. Multiply each side by 5 to remove it as a fraction
2. it cancels out on the left leaving 10x - 4 = 100
3. Add 4 to each side canceling it out on the left and leaving 10x = 104
4. Divide each side by 10 to get x by itself
5. 10x/100 = 104/10
6. x = 10.4
Which of the following is the measure of an acute angle?
A. 89°
B. 270°
C. 97°
D. 122°
Answers
Answer:
A
Step-by-step explanation:
An acute angle is an angle that is less than 90 degrees.
Answer:
Step-by-step explanation:
A
find the length of the third side. if necessary, round to the nearest tenth. 12 5
Answers
Answer:
The Answe for the third side is 60
PLEASE HELP QUICK PLS PLS PLSSSSS
Answers
Each day for the next 4 days, there is a 20% chance of a thunderstorm. Use the simulation shown, where the digits 1 and 2 represent days with a thunderstorm, to estimate the probability of a thunderstorm on at least 2 of the next 4 days. Round your answer to the nearest tenth of a percent if necessary.
Answers
Answer:
It’s 6/1
Step-by-step explanation:
The estimated probability of a thunderstorm on at least 2 of the next 4 days is 6/16, or 0.375, or 37.5% (rounded to the nearest tenth of a percent).
What is probability?Probability is the measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that the event is impossible, and 1 indicating that the event is certain to occur.
To estimate the probability of a thunderstorm on at least 2 of the next 4 days, we can use the simulation as follows:
The outcomes with at least 2 thunderstorms are: 112, 121, 122, 211, 212, and 221.Out of the 16 possible outcomes (each day can either have a thunderstorm or not), the number of outcomes with at least 2 thunderstorms is 6.Therefore, the estimated probability of a thunderstorm on at least 2 of the next 4 days is 6/16, or 0.375, or 37.5% (rounded to the nearest tenth of a percent).Thus, this is only an estimate based on the given probability of a thunderstorm each day, and the actual probability may be different.
For more details regarding probability, visit:
https://brainly.com/question/30034780
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Given f(x) = 2x^2 - 3 and g(x) = x + 4.
What is (f g)(x)?
Answers
Answer:
2x³+8x²-3x-12
Step-by-step explanation:
It means function f times by function g.
so fg= (2x²-3)(x+4)=2x³+8x²-3x-12