Answer:
X+Y=10, X-Y=2, what is X, Y?
Answer: x=6 and y=4
Explanation:
Given:
x+y=10 ⟶(i)
x−y=2 ⟶(ii)
From equation (ii) ,
x=2+y
Put value of x in equation (i) ,
2+y+y=10
2+2y=10
2(1+y)=10
1+y=102
1+y=5
y=5−1
y=4
Put value of y in equation (ii) ,
x−4=2
x=2+4
x=6
x + y = 10 → Eq A
x – y = 2 → Eq B
Now we will take out the expression of x from Eq A.
x + y = 10 Eq A
x = 10 – y → Expression of x
Now put the expression of x in Eq B.
x – y = 2
( 10 – y ) – y = 2
10 – 2y = 2
10 – 2 = 2y
8 = 2y
y = 8 / 2
y = 4
Now put the value of y in expression of x.
x = 10 – y
x = 10 – 4
x = 6
So, x = 6 and y = 4.
Thank you.
Hope it helps and you like it
x + y = - 10 (equation 1)
x - y = 2 (equation 2)
using equation 2 we get x = 2 + y
putting the value of x in equation 1 we get :
(2 + y) + y = - 10
2 y = -10-2
2 y = -12
y = -6
put the value of y in any equation
to get the value of x
x - y = 2
x - (-6) = 2
x + 6 = 2
x = -4
20 POINTS!!! PLEASE ANSWER
Answer: C
Step-by-step explanation:
[tex]5\left(4x+5\right)[/tex]
[tex]\mathrm{Apply\:the\:distributive\:property}:\quad \:a\left(b+c\right)=ab+ac[/tex]
[tex]=5\cdot \:4x+5\cdot \:5[/tex]
[tex]\bf=20x+25[/tex]
Amanda invests a sum of money in a retirement account with a fixed annual interest rate of 9 % compounded ontinuously . After 19 years , the balance reaches $38,956.06. What was the amount of the initial investment ?
Answer:
$7045.82
Step-by-step explanation:
The formula for the balance of an account earning interest at rate r compounded continuously for t years is ...
A = Pe^(rt)
We want to find P, given the other parameters in this formula.
__
38956.06 = P(e^(0.09×19)) = P(5.52896148)
P = 38956.06/5.52896148 ≈ 7045.82
The amount of the initial investment was about $7045.82.
Variability ? I'm confused
Please please help!!! will give brainliest
Answer: i think the answer is 116. if it is not i am terribly sorry.
Step-by-step explanation:
What is 56 ÷ (-8) = ___ need fast will give brainliest
Answer:
-7
Step-by-step explanation:
^
Answer:
-7
Step-by-step explanation:
Simplifly the expression: x-3x-(-5x)
Answer:
The answer is 3x.
Step-by-step explanation:
I used a calculator
What does the notation P(B|A) mean?
Answer:
the answer for this one it should be the probability or chances that the event b occurs when the event a has occured.
Step-by-step explanation: I hope this help you pal or folk and have a great day.
Edna, Fatimah and Toby had a sum of money. The amount of money Edna had was 4 times the amount of money Fatimah had. The ratio of the amount of money Fatimah had to the total amount of money Toby and Fatimah had was 5:8. After Fatimah gave $30 to Toby, Toby had as much money as Fatimah. How much more money did Edna have than Toby in the end?
HELP ME PLEASE ! HOMEWORK DUE IN LESS THAN 2 HOURS! NO CLUE ON HOW TO DO THIS ! OFFERING 15 POINTS
Answer:
Edna had $510 more amount of money than Toby in the end.
Step-by-step explanation:
LET :-
Edna's amount of money - x
Fatimah's amount of money - y
Toby's amount of money - z
Now,
By the question,
x = 4y
y : (y + z) = 5 : 8
y - 30 = z + 30
Now,
y : (y + z) = 5 :8
or, y/(y + z) = 5/8
or, 8y = 5y + 5z
or, 3y = 5z
so, y = 5z/3
Now,
y - 30 = z + 30
or, 5z/3 - 30 = z + 30
or, (5z - 90)/3 = z + 30
or, 5z - 90 = 3z + 90
or, 5z - 3z = 90 + 90
or, 2z = 180
so, z = 90
Toby's amount of money - $90
Now,
y = 5z/3
or, y = 5 * 90/3
or, y = 5 * 30
so, y = 150
Fatimah's amount of money - $150
Again,
x = 4y
or, x = 4*150
or, x = 600
Edna's amount of money - $600
Now,
$600 - $90
= $510
Therefore,Edna had $510 more amount of money than Toby in the end.
Question is in picture
Answer: Heat pollution.
If you are to search up
heat pollution occurs because?
the answer that will pop up is:
The main reasons of thermal pollution are industries and power plants, withdrawing water (a powerful sink for heat waste) from streams for cooling their generators and machines, and then releasing back into the water bodies, which elevates the temperature of freshwater habitats (Miara et al., 2018).
Convert the decimal to a percent. 0.725
Answer:
72.5% out of 100%
Step-by-step explanation:
0.725 is 72.5% of 1. 100% technically counts as 1. so 72.5%
Please help meeee!!!!!
Answer:
Now plot those points in graph and find intersection hope it helps you.......
A raffle ticket is sold for $3.50 each and the prize for winning the raffle is $250. If 100
people entered the raffle, what is:
the expected value? =
are you expected to win or lose the raffle? =
a fair price for the raffle ticket? =
all ratios equivalent to 6:4.
Answer:
Give two equivalent ratios of 6 : 4. 6 : 4 = 6/4 So, equivalent ratios are 6/4 × 2/2 = 12/8 = 12:8 6/4 × 3/3 = 18/12 = 18:12 So, 6 : 4 = 12 : 8 = 18 : 12
Step-by-step explanation:
Please help!!!!!!!! Determine the function which corresponds to the given graph.
The rational function shown in the graph is:
[tex]y = \frac{x - 6}{x - 5}[/tex]
How to determine the function?
First, we can see that we have an asymptote at x = 5, so the denominator becomes equal to zero when x = 5.
Then the rational function is something like:
[tex]y = \frac{g(x)}{x - 5}[/tex]
We also can see that when x = 6, the function intercepts the x-axis, then we must have that:
g(6) = 0
So we can define:
g(x) = x - 6
So the rational function is:
[tex]y = \frac{x - 6}{x - 5}[/tex]
If you want to learn more about rational functions, you can read:
https://brainly.com/question/1851758
Mrs. Welch and her 5 children are shopping at a local grocery store. Each of the children will be allowed to select one box of cereal for their own from the 8 different boxes of cereal available (there are no two the same). In how many ways can the selections be made?
How many grams are in 2.2 kilograms?
Step-by-step explanation:
the word kilo means thousand. By that logic we know that 2200 grams are in 2.2 kilograms
Please help me solve this question
Answer:D
Step-by-step explanation: Multiply the expression
I WILL GIVE YOU 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
To find the missing angle's measure
⇒ important to understand the sum of the angles of a triangle
⇒ the sum of every angle of any triangle in all cases equal to 180
degrees
What is the information given:
⇒ one angle is of 94 degrees and the other of 46 degrees
Using the information in the first section and the information given in the diagram, let's set up an equation:
[tex]94+46+x = 180\\140+x = 180\\x = 40[/tex]
The measure of the missing angle is 40 degrees
Hope that helps!
What is 40/17 rounded to the nearest hundred
68 is 17% of what number?
68 = 0.17 • X
x = [?]
Answer:
400
Step-by-step explanation:
Division cancels multiplication. Divide by 0.17 to isolate "x" on the right side of the equation.
68 = 0.17 * x
divide both sides by 0.17
400 = x
68 is 17 percentage of the number 400.
To find the number that 68 is 17% of, we can set up the equation:
17% of x = 68
To solve for x, we need to divide both sides of the equation by 17% (or 0.17 as a decimal):
x = 68 / 0.17
Evaluating the division:
x=400
Therefore, 68 is 17% of 400.
To learn more on Percentage click:
https://brainly.com/question/24159063
#SPJ6
X' + 2y' + x = 0 , x' - y' + y = 0 x(0) = 0 and y(0) = 1
This looks like a system of differential equations.
[tex]\begin{cases}x' + 2y' + x = 0 \\ x' - y' + y = 0 \\x(0)=0, y(0)=1\end{cases}[/tex]
Eliminating x' gives
[tex](x'+2y'+x)-(x'-y'+y) = 0 - 0 \implies 3y' - y + x = 0[/tex]
and eliminating y' gives
[tex](x'+2y'+x) + 2(x'-y'+y)=0+2\times0 \implies 3x' + x + 2y = 0[/tex]
so that we can rewrite the system as
[tex]\begin{cases}3x' = -x - 2y \\ 3y' = -x + y\end{cases}[/tex]
or equivalently in matrix form as
[tex]\begin{bmatrix}x\\y\end{bmatrix}' = \dfrac13 \begin{bmatrix}-1&-2\\-1&1\end{bmatrix} \begin{bmatrix}x\\y\end{bmatrix}[/tex]
Compute the eigenvalues for the coefficient matrix:
[tex]\det\begin{bmatrix}-1-\lambda&-2\\-1&1-\lambda\end{bmatrix} = (-1-\lambda)(1-\lambda) - 2 = \lambda^2 -3 = 0 \implies \lambda=\pm\sqrt3[/tex]
Compute the corresponding eigenvectors:
[tex]\lambda=\sqrt3 \implies \begin{bmatrix}-1-\sqrt3&-2\\-1&1-\sqrt3\end{bmatrix}\begin{bmatrix}v_1\\v_2\end{bmatrix}=\begin{bmatrix}0\\0\end{bmatrix} \\\\ \implies v_1=(1-\sqrt3)v_2 \implies \vec v = \begin{bmatrix}1-\sqrt3\\1\end{bmatrix}[/tex]
[tex]\lambda=-\sqrt3 \implies \begin{bmatrix}-1+\sqrt3&-2\\-1&1+\sqrt3\end{bmatrix}\begin{bmatrix}v_1\\v_2\end{bmatrix}=\begin{bmatrix}0\\0\end{bmatrix} \\\\ \implies v_1 = (1+\sqrt3)v_2 \implies \vec v = \begin{bmatrix}1+\sqrt3\\1\end{bmatrix}[/tex]
We end up multiplying the matrix by 1/3, so the eigenvalues also get scaled by 1/3 and λ = ±1/√3. The eigenvectors stay the same.
Then the characteristic solution to the system is
[tex]\begin{bmatrix}x\\y\end{bmatrix} = C_1 e^{t/\sqrt3} \begin{bmatrix}\frac{1-\sqrt3}3\\\frac13\end{bmatrix} + C_2 e^{-t/\sqrt3} \begin{bmatrix}\frac{1+\sqrt3}3\\\frac13\end{bmatrix}[/tex]
Use the initial conditions to solve for the constants.
[tex]\begin{bmatrix}0\\1\end{bmatrix} = C_1 \begin{bmatrix}\frac{1-\sqrt3}3\\\frac13\end{bmatrix} + C_2 \begin{bmatrix}\frac{1+\sqrt3}3\\\frac13\end{bmatrix}[/tex]
[tex]\implies \begin{cases}(1-\sqrt3) C_1 + (1+\sqrt3) C_2 = 0 \\ C_1 + C_2 = 3\end{cases}[/tex]
[tex]\implies C_1=\dfrac{3+\sqrt3}2, C_2=\dfrac{3-\sqrt3}2[/tex]
Then the particular solution is
[tex]\begin{bmatrix}x\\y\end{bmatrix} = \dfrac{3+\sqrt3}6 e^{t/\sqrt3} \begin{bmatrix}1-\sqrt3\\1\end{bmatrix} + \dfrac{3-\sqrt3}6 e^{-t/\sqrt3} \begin{bmatrix}1+\sqrt3\\1\end{bmatrix}[/tex]
or
[tex]\begin{cases}x(t) = -\dfrac1{\sqrt3} e^{\sqrt3 \, t} + \dfrac1{\sqrt3} e^{-\sqrt3\,t} \\\\ y(t) = \dfrac{3+\sqrt3}6 e^{\sqrt3\,t} + \dfrac{3-\sqrt3}6 e^{-\sqrt3\,t}\end{cases}[/tex]
Find the turning point of y=x^2+10x+12
Answer:
vertex = (- 5, - 13 )
Step-by-step explanation:
given a quadratic in standard form : y = ax² + bx + c ( a ≠ 0 )
then the x- coordinate of the turning point ( vertex) is
x = - [tex]\frac{b}{2a}[/tex]
y = x² + 10x + 12 ← is in standard form
with a = 1, b = 10 , then
x = - [tex]\frac{10}{2}[/tex] = - 5
substitute x = - 5 into the equation and evaluate for y
y = (- 5)² + 10(- 5) + 12 = 25 - 50 + 12 = - 13
turning point = (- 5, - 13 )
Nancy Regan purchased a new diamond bracelet for $12,600. The state sales tax is 6% and the federal excise tax on the jewelry is 11%. What is the total purchase price of the bracelet? Round your answer to the nearest cent.
Using proportions, it is found that the total purchase price of the bracelet is of $10,769.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, we consider the two taxes, of 6% and 11%, hence the price suffers an increase of 17%, that is, the price is multiplied by 117% = 1.17 to reach $12,600, hence:
1.17p = 12600
p = 12600/1.17
p = 10769.
The total purchase price of the bracelet is of $10,769.
More can be learned about proportions at https://brainly.com/question/24372153
Question 8 of 10
If a student answered 69 exam questions correctly out of 100, what fraction
and what percentage of questions did the student answer incorrectly?
Choose two answers. Need help ASAP
A.
30/100
B. 0.69%
C. 31%
D. 69%
E. 31/100
F. 69/100
Answer: I believe B and F
Step-by-step explanation:
Paige mixed 11 gallons of lemonade and poured it into
seven 6-quart jugs. How many cups of lemonade were left
over after she filled the jugs?
Answer:
152 cups
Step-by-step explanation:
1. 44 quarts are in 11 gallons.
2. 44-6=38.
3. There are 152 cups in 38 quarts.
if x+y= -10 and x=2 what is the value of x
Answer:
x = 2 y = -12
Step-by-step explanation:
x+ y = -10
2 + y = -10
y = -10 -2 = -12
Find the equation that represents the relationship between the variables.
to get the equation of any straight line, we simply need two points off of it, hmmm let's use (0 , 10) and (8 , 30) from the table
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{30}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{30}-\stackrel{y1}{10}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{0}}}\implies \cfrac{20}{8}\implies \cfrac{5}{2}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{\cfrac{5}{2}}(x-\stackrel{x_1}{0}) \\\\\\ y-10=\cfrac{5}{2}x\implies y=\cfrac{5}{2}x+10[/tex]
A store's change in total revenue over a 4-month period is −$1240. What is the average change in revenue per month for that period?
Answer Choices:
−$4960
−$310
$310
$4960
Answer: -310
Step-by-step explanation:
-1240÷4
12) A job offers you $15 an hour. Your boss
states that a percentage of your check will
be taken out for taxes, and then $35 for
medical insurance and $4 for dental
insurance. If you worked 38 hours, and
your total paycheck (for the week) was
$462.60, what percentage is taken out for
taxes?
Answer:
12%Step-by-step explanation:
Total paycheck before taking out taxes and insurance :
38×15 = 570
Left Amount of money after applying taxes :
570 - 570×(p/100)
= 570×[1 - (p/100)]
= 570×[(100-p)/100]
= (570/100) × [100 - p]
= 5.7 × [100 - p]
After taking out the insurance amounts we can write this equation:
.,7 × [100 - p] - (35+4) = 462.6
⇔ 5.7 × [100 - p] - 39 = 462.6
⇔ 5,7 × [100 - p] = 462.6 + 39
⇔ 5,7 × [100 - p] = 501.6
⇔ 100 - p = 501.6/5.7
⇔ 100 - p = 88
⇔ p = 100 - 88
⇔ p = 12
What is the slope of the equation y-3 = -4(X - 5)?
04
0-3
20
023