[tex] \bold{\underline{\underline{\underbrace{Answer}}}} [/tex]
x = a and y = b
Step-by-step explanation:
To findThe value of x and y
⠀
Givenax + by = a² + b² (equation 1)
bx - ay = 0 (equation 2)
⠀
Solution{Taking equation 2}
[tex] \sf bx - ay = 0 [/tex]
{Taking ay on RHS}
[tex] \sf bx = ay[/tex]
{Dividing both sides by a}
[tex] \sf \frac{bx}{a} = y(equation \: 3)[/tex]
{Now substituting the equation 3 in equation 1}
[tex] \sf ax + b( \frac{bx}{a} ) = {a}^{2} + {b}^{2} \\ \\ \sf ax + \frac{ {b}^{2} x}{a} = {a}^{2} + {b}^{2} [/tex]
{Taking LCM on LHS}
[tex] \sf \frac{ {a}^{2}x + {b}^{2} x }{a} = {a}^{2} + {b}^{2} \\ \\ \sf \frac{x( {a}^{2} + {b}^{2}) }{a} = ( {a}^{2} + {b}^{2} )[/tex]
{Dividing by (a² + b²) both sides}
[tex] \sf \frac{x}{a} = 1 \\ \\ \green{\boxed {\tt{x = a} } }[/tex]
{Now substituting the value of x in equation 3}
[tex] \sf \frac{ba}{a} = y \\ \\ \green {\boxed{ \tt{y = b}} }[/tex]
solve for x. Show each step of the solution x/16 = 3/8
Answer:
x = 6
Step-by-step explanation:
x/16 = 3/8
Step 1: Cross-multiply.
x/16 = 3/8
x*(8) = (3)*(16)
8x = 48
Step 2: Divide both sides by 8.
8x/8 = 48/8
*Ta da!*
x = 6
- Have a great day! -
A telescope company needs to choose a cardboard box to ship its product across the country. Use the information to answer each question below. Brainlest to whoever answers with work.
3 Which of the following is an example of an expression?
O3y = 2y + 11
O
2x + 3y = 2x + 2y + 11
O
2x + 2y + 3y
O
2x + 2y + 3y = 2x + 2y + 11
Skip
5/6 complete
4
K
Answer:
2x + 2y + 3y
Step-by-step explanation:
The others are equations ( containing the = sign).
Answer:
2x+2y+3y
Step-by-step explanation:
an expression is not equated to any number but an equation is equated to any number especially zero
Ryan's backyard has cement and grass. Find the area of the part with cement.
(Sides meet at right angles.)
Answer:
28m²
Step-by-step explanation:
I don't really know how to explain so I'm just going to say its 28m²
The area of the part with cement will be 28 square meters.
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Given that the image has the backyard area in which some part is cemented and the remaining part is grass.
The area of the cemented part will be calculated as:-
Cemented area = Total area - Area of grass
Cemented area = ( 6 x 6 ) - ( 4 x 2 )
Cemented area = 36 - 8
Cemented area = 28 square meters
Therefore, the part with cement in the backyard will have an area of 28 square meters.
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hi there! if someone could answer my question about angles that would be great! see the image attached.
Answer:
your missing angle is 136
Step-by-step explanation:
equation used: 360 - (136 + 88) = 136
Given a function described by the table below, what is y when x is 5?
X Y
2 6
4 8
5 9
6 12
Considering the table that describes the function, it is found that when x = 5, the value of y is of y = 9.
What does the table states?The table representing the function states the value of y associated with each value of x.
Hence, considering the third line of the table, it is found that when x = 5, the value of y is of y = 9.
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2. Use the figure to find angle measures. In the figure, m ll n and x ll y.
A. Suppose m<5 = 69º. Find M<10.
B. Suppose m<4 = 114°. Find m<14.
C. Suppose m<5 = 86º. Find m<12.
Answer:
See below ~
Step-by-step explanation:
A.
m∠5 = m∠10 (alternate angles)m∠10 = 69°B.
∠4 + ∠14 = 180° (∠14 is equal to ∠8 as they are corresponding, and ∠8 is supplementary to ∠4)∠14 = 180° - 114°∠14 = 66°C.
∠5 = ∠12 (as ∠10 = ∠12 by alternate interior angles, and ∠10 = ∠5 as alternate angles)∠12 = 86°#1
m<5 and m<10 are alternative and equal
m<10=69#2
They are supplementary
114+m<14=180m<14=180-114=66#3
Alternate angles are equal
m<12=86ack recorded the number of different colored marbles he has in a pouch. The results are provided in the table below.
Part A. Jack takes out a marble, then without replacing it, he takes out another marble from the pouch. What is the probability that Jack takes out a green marble and then an orange marble? Make sure to show your work for credit.
Part B. Jack has another jar of 275 marbles that have the same distribution as the table above. Based on the information in the table, determine the number of yellow marbles in Jack's jar of marbles. Make sure to show your work for credit.
Part C. Jack also likes to collect buttons. He has 5 bags of buttons. Some information about the number of buttons in each bag is provided below:
The fewest number of buttons in a bag is 21.
The greatest number of buttons in a bag is 29
The mean number of buttons in the bags is 27.
There are two modes for the number of buttons in each bag.
How many buttons are in each of Jack's five bags? (You should have 5 numbers) Make sure to show your work for credit.
Answer:
its b actually jack had 5 numbers for each button
In the "Depositions for the Boston Massacre Trials," who does Captain Thomas Preston blame for the massacre?
A. Himself
B. the Citizens
C. The Soldiers
D. God
Answer:
B. The citizens
Step-by-step explanation:
When captain Preston said fire he blame the citizens for foreign saying they were harassing the soldiers
Hope this helps! ;-)
Pleaseeee help school ends tmrw
Answer:
y=3x-23
Step-by-step explanation:
You have to distribute 3 and you get y+5=3x-18 and then move 5 over by subtracting it from each side you get y=3x-23 hope you enjoy your summer!
Answer:
C. y = 3x - 11
Step-by-step explanation:
Combine the y and 3
Add the 5 and 6 to get 11
Write the equation in standard form
Find the missing side of the right
triangle if one leg is 6 ft and the
hypotenuse is 8 ft.
A. 28 ft
B. √2 ft
C. 10 ft
D. 2√7 ft
E. 2 ft
Answer:
it's D
Step-by-step explanation:
squrt(8^2-6^2)
use Pythago law
At a raffle100 tickets are sold at $2 each for three prizes valued at $100,$ 50 and $25. What is the expected value of one ticket?
The expected value of one ticket at a raffle where 100 tickets are sold at $2 each for three prizes valued at $100,$ 50 and $25, $1.75.
What is the expected value?The expected value is used to calculate the weighted average of all the possible values of a random variable.
[tex]\sum_{i=1}^n=P_i\times V_i[/tex]
Here, P is the probability of winning a prize and V is the value of the price.
At a raffle, 100 tickets are sold at $2 each for three prizes valued at $100,$50 and $25. The probability of winning one person in 100 persons is,
[tex]P=\dfrac{1}{100}[/tex]
There are three prices of $100, $50 and $25. Thus, the ticket price expected to win is,
[tex]E=100\times\dfrac{1}{100}+50\times\dfrac{1}{100}+25\times\dfrac{1}{100}\\E=1+0.5+0.25\\E=1.75[/tex]
Thus, the expected value of one ticket at a raffle where 100 tickets are sold at $2 each for three prizes valued at $100,$ 50 and $25, is $1.75.
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A bakery sells vanilla cupcakes and chocolate cupcakes. It sold 276 vanilla cupcakes in a day. 8% of the cupcakes sold that day were chocolate. How many total cupcakes did the bakery sell that day?
ASSAP
Answer:
hello!!!
300 cupcakes
please read the explanation.. it always helps... trust me...
Step-by-step explanation:
alrighty here it goes...
okay.. so we start by reading the problem (duh) but also underlining the important numbers that we need. yes, it really is that simple, trust me....
okay so the percentage of chocoalte cupcakes was 8% and the amount of vanilla cupcakes was 276.
we start by taking 100% - 8% = 92% so the amount of vanilla cupcakes sold was 276 which is also 92% of the total amount of cupcakes.
so now we need to find out 92% of what number gets us 276.
the percentage formula (in this problem) should be as follows:
92/100 x (total amount of cupcakes) = 276
to solve for total amount of cupcakes you do 276 x 100 then you divide by 92 to get your answer (which is 300)
i hope this helps!!!
Answer:
300
Step-by-step explanation:
Add.
6 5/6 + (−6 1/5)
This is a fraction, not a whole number negative sum.
Enter your answer as a simplified fraction in the box.
Answer:
19/30
Step-by-step explanation:
had this in an old problem in school
:D
If William spins a spinner and it lands on a "C" 4 out of 7 times, how many times would you predict the spinner will land on a "C" if he spun it 91 times?
Answer:
52 times
Step-by-step explanation:
Probability (C) = 4/7
Multiply with 13 :
C : total = 13 x 4 : 13 x 7 C : total = 52/91This means that if he spun it 91 times, then the spinner would be predicted to land on C 52 times.
please answer this question
Brandi bought a total of 9 lb of flounder and shrimp and paid $12 for the flounder and $12 for the shrimp. If the price per pound of the shrimp is twice that of
the flounder, how many pounds of each did she buy?
Select one:
O a. 6 lb shrimp and 3 lb flounder
O b.
3 lb shrimp and 6 lb flounder
O c.
4.5 lb shrimp and 4.5 lb flounder
O d.
2 lb shrimp and 7 lb flounder
Neil pays 2.16 in postage to a frien he uses 40 cent stamps and 7cent stamps to 2.16 how many of each stamps did he use
Of the variables affecting your auto insurance, are any of them truly random variables?
The true statement about auto insurance is : ( D ) Auto insurance premiums can vary from company to company, therefore, it is important to comparison shop for the best price and coverage.
What is Auto insurance ?Auto insurance is a contract entered between a car owner or his representative with an insurance company, which protects the car owner from any financial losses arising from the damage or loss of the car. A premium is been paid as agreed between the car owner and the insurance company to keep the auto insurance active.
The premium amount varies from company to company.
In conclusion Auto insurance premiums can vary from company to company, therefore, it is important to comparison shop for the best price and coverage.
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What is the vertex of the function f(x) = one-halfx2 + 3x + three-halves?
(
,
)
Answer:
the vertex is (-3 , -3)
Step-by-step explanation:
[tex]\frac{1}{2} x^{2}+3x+\frac{3}{2}[/tex]
[tex]=\frac{1}{2} \left( x^{2}+6x+3\right)[/tex]
[tex]=\frac{1}{2} \left[ \left( x+3\right)^{2} -9+3\right][/tex]
[tex]=\frac{1}{2} \left( x+3\right)^{2} -3[/tex]
then the vertex is (-3 , -3)
A board 4 feet 8 inches long she cut a board 56 inches long explain how you can convert one of the measurements so that both use the same unit
Answer:
4 feet = 48 inches
48 + 8 = 56 inches
Step-by-step explanation:
4 feet = 48 inches
48 + 8 = 56 inches
Ram, Shyam and Moha purchased biscuits of different brands P, Q and R. Ram purchased 10 packets of P, 7 of Q and 3 packets of R. Shyam purchased 4 packets of P, 8 packets of Q and 10 packets of R. Mohan purchased 4 packets of P, 7 packets of Q and 8 packets of R. If brand P costs € 4, Q costs € 5 and R costs € 6 each, then using matrix operation, find the amount of money spent by these persons individually.
The amount of money spent by these persons individually will be $ 93, $116, and $ 99.
What is the matrix?A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.
Ram, Shyam, and Mohan purchased biscuits from different brands P, Q, and R.
Ram purchased 10 packets of P, 7 packets of Q, and 3 packets of R.
Shyam purchased 4 packets of P, 8 packets of Q, and 10 packets of R.
Mohan purchased 4 packets of P, 7 packets of Q, and 8 packets of R.
If brand P costs € 4, Q costs € 5, and R costs € 6 each.
Then the amount of money spent by these persons individually will be
Then these are shown in the form of a matrix. Then we have
[tex]\begin{bmatrix}10 & 7 & 3 \\4 & 8 & 10 \\4 & 7 & 8 \\\end{bmatrix} \begin{bmatrix}4 \\ 5 \\ 6 \\\end{bmatrix}[/tex]
Then the amount of money spent by these persons individually will be
[tex]\begin{bmatrix}10 & 7 & 3 \\4 & 8 & 10 \\4 & 7 & 8 \\\end{bmatrix} \begin{bmatrix}4 \\ 5 \\ 6 \\\end{bmatrix} = \begin{bmatrix} 93\\ 116 \\99 \end{bmatrix}[/tex]
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Answer:
147
Step-by-step explanation:
Supplementary angles add to 180 total.
x + y = 180
x + 33 = 180
x = 147
PLEASE HELP ILL GIVE 20 PTS!!!! What is the measure of an angle if it is 20 less than three times it’s own supplement?
An angle's measure is 20 times less than its supplement. Determine the angle's length. supplement = 180 - x = 180 - 130 = 50 degrees
please help me with this question
I didn’t understand
Please I need your help
[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{"y" varies directly with "x"}}{y=kx}\qquad \textit{we also know that} \begin{cases} x=\frac{2}{3}\\ y = 6 \end{cases}\implies 6=k\cfrac{2}{3} \\\\\\ 18=2k\implies \cfrac{18}{2}=k\implies 9=k~\hfill \boxed{y=9x} \\\\\\ when~x=10\frac{1}{3}\textit{ what is "y"?}\qquad y=9\left( 10\frac{1}{3} \right)\implies y=9\cdot \cfrac{31}{3}\implies y=93[/tex]
At a baseball game 35% were supporting the visiting team. If 1924 people attending supported the home team,what was the total number of people attending the game?
Answer:
3260
Step-by-step explanation:
three people P, Q and R contribute to a fund. P provides 3/5 of the total, Q provides 2/3 of the remainder and R provides £8. Determine the total fund?
Answer:
Let x be the total fund
[tex] \frac{3x}{5} + \frac{2}{3}(x - \frac{3x}{5} ) + 8 = x [/tex]
3x/5 + 2/3(2x/5) + 8 = x
3x/5 + 4x/15 + 8 = x
9x/15 + 4x/15 + 120/15 = 15x/15
9x+4x+120=15x
-2x= -120
x=60£
In "The Emperor's New Clothes" what does the opening tell you about the characters?
A. Emperor is the main character
B. King is the main character
C. No main character is introduced
D. Queen is the main character
Answer:
A. Emperor is the main character
Step-by-step explanation:
I've read it before
Factor 2x^3 - 12x^2 + 16x.
A. 2(x^2 - 2)(x - 4)
B. 2x(x - 2)(x - 4)
C. 2(x^2 + 2)(x - 4)
D. 2x(x + 2)(x - 4)
Answer:
B
Step-by-step explanation:
2x(x²-6x+8)=2x(x-4)(x-2)