Answers
Answer:
x = 1; y = 5/4
Step-by-step explanation:
7/x - 5/y = 3
2/x + 25/(2y) = 12
The LCD of first equation is xy. Multiply both sides of the first equation by xy.
xy(7/x) - xy(5/y) = 3xy
7y - 5x = 3xy
The LCD of second equation is 2xy. Multiply both sides of the second equation by 2xy.
2xy(2/x) + 2xy(25/2y) = 24xy
4y + 25x = 24xy
7y - 5x = 3xy
4y + 25x = 24xy
Multiply the top equation by -8 and add to bottom equation.
-56y + 40x = -24xy
(+) 4y + 25x = 24xy
---------------------------------
-52y + 65x = 0
65x = 52y
x = 52y/65
7y - 5x = 3xy
7y - 5(52y/65) = 3(52y/65)y
455y - 260y = 156y²
156y² - 195y = 0
4y² - 5y = 0
y(4y - 5) = 0
y = 0 or 4y = 5
y = 0 or y = 5/4
7/x - 5/y = 3
y cannot equal zero.
7/x - 5/y = 3
7/x - 5/(5/4) = 3
7/x - 4 = 3
7/x = 7
x = 1
Solution: x = 1; y = 5/4
Related Questions
will deposited $1550 in an account that pays 8% annually. How much would be in the account at the end of 24 months?
Answers
Answer:
$1798
Step-by-step explanation:
You take the money of 1550 and multiply the 16% for the 2 years, which is just 1.16 and you get 1798
(Please Help!) (Giving Good Points!)
Aviva deposited some amount of money at a 4% annual interest rate into her bank account. The money was left in the account for 18 months, and she did not make any more deposits.
If Aviva's money earned $240 interest after 18 months, how much money did she deposit into the account?
Answers
Answer:
Aviva deposited $4,000
Step-by-step explanation:
Given:
$240 is the 6% interest rate annually (1.5 years)The money was left in the account for 18 monthsSolving:
We'll create an equation to find the amount of money Aviva deposited.
D = 240(50/3)
D = the amount of money she has deposited.
50/3 represents 94% of D.
Since 240 is 6% of the deposit Aviva has deposited, multiplying 50/3 by 240 will equal 100% of D.
Solve:
4,000 = 240(50/3)
The amount of money Aviva deposited is $4,000.
*This is one method to solve.
I need an explanation on how to work this out
Evaluate the expression rs + 14s when r = 6 and s = 1/4.
Answers
Answer:
5
Step-by-step explanation:
We have to substitute r and s with the values given:
Now we can make an equation with our new values:
(6×1/4)+(14×1/4)
Now we do one bracket at a time (I put brackets to show that you need to do them separately, you don't need to have brackets)
1.5+3.5=5
How many composite numbers are between 1 and 100?
Answers
Answer:
74 is the answer to your question.
Hope this helps!
Step-by-step explanation:
74 is the answer to your question
video store charges $12 for used games and $25 for new games. Jonathan has saved $300 to spend on video games. This scenario is represented by a linear equation.
12x + 25y = 300
x = number of used games
y = number of new games
How many games can Jonathan buy if he spends all his money on used games?
Answers
Answer:
He can spend games at a rate of y = -0.48x + 12
Step-by-step explanation:
12x + 25y = 300
Move the 12x on the other side.
25y = -12x + 300
Divide the 25y with everything.
y = -0.48x + 12
Help please thank you.
Answers
Step-by-step explanation:
13b. Ariel is a customer.
14a. Obeying traffic rules saves lives.
15c. Mr. Aries is a lawmaker.
Which inequality correctly represents the expression? The quotient of k and 9 is less than 1.
Answers
Hope this helped #WAP
Find the slop of the line in the graph
Answers
Answer:
2y and -3x
Step-by-step explanation:
y3-1
/
-x2-x1
On a boat tour, there are half as many children as there are adults. How many children are there? There are 30 people on the tour.
Answers
Answer:
15 children
Step-by-step explanation:
30÷2
=15
therefore there is 15 adults and 15 children
Write the equation of the given line in slope-intercept form:
Answers
Answer:
y=-3x - 1
Step-by-step explanation:
PLEASE ANSWER WILL GIVE BRAINLIEST IF CORRECT!!!
The figure below is a net for a triangular pyramid. If all the triangles are equilateral, what is the surface area of the pyramid, in square centimeters?
Answers
Answer:
14.84 is the answer
Step-by-ste14.84 is the answerp explanation:
14.84 is the answer
the third part lol helppppppppppppppppppppppppppppppppppppppppp
Answers
answer:
n = [tex]-\frac{3}{2}[/tex]Explanation:
→ [tex]4(n+10) = 34[/tex]
→ [tex]\frac{4(n+10)}{4} = \frac{34}{4}[/tex]
→ n + 10 = [tex]\frac{17}{2}[/tex]
→ n = [tex]\frac{17}{2} -10[/tex]
→ n = [tex]\frac{17-20}{2}[/tex]
→ n = [tex]\frac{-3}{2}[/tex]
Answer:
[tex]\sf n=\dfrac{-3}{2}[/tex]
Step-by-step explanation:
Given equation: 4(n + 10) = 34
Step 1: Expand the expression.
[tex]\sf \implies \boldsymbol{\sf 4(n + 10)} = 34[/tex]
[tex]\sf \implies \boldsymbol{\sf 4(n) + 4(10)} = 34[/tex]
[tex]\sf \implies 4n + 40 = 34[/tex]
Step 2: Subtract [tex]\sf 40[/tex] from both sides and combine like terms.
[tex]\sf \implies 4n + 40 - 40 = 34 - 40[/tex]
[tex]\sf \implies 4n = -6[/tex]
Step 3: Isolate the variable ([tex]\sf n[/tex]) (simply if necessary).
[tex]\sf \implies \dfrac{4n}{4} = \dfrac{-6}{4}[/tex]
[tex]\sf \implies n=\dfrac{-6}{4} = \dfrac{-3}{2}[/tex]
What is the first step in solving 31 + 2 - 8(3)
Answers
Answer:
[tex]31 + 2 - 8(3) \\ \\ = 31 + 2 - 24 \\ \\ 33 - 24 \\ \\ = 9[/tex]
# be careful#
Answer:
Multiply 8x3
Step-by-step explanation:
Orders of operations state that parenthesis should be the first step in solving an equation
P-parenthesis
E-exponents
M- multiplication
D-division
A- addition
S- subtraction
A $3,000 loan is taken out for 12% interest for 6 months. What is the amount of interest charged?
A. $36.00
B. $90.00
C. $180.00
D. $270.00
Answers
Answer:
$180
Step-by-step explanation:
Simple interest → ( principal * rate of interest * time in years ) ÷ 100
Here the principal is $3,000, rate of interest is 12%, years in years will be
(6/12) = 0.5 years
Using the formula:
Interest charge → ( 3,000 * 12 * 0.5 ) ÷ 100
→ ( 18000 ) ÷ 100
→ $180
On a recent statistics exam at a large university, 35 of 50 students in one section passed the exam.
What is the mean and standard deviation of the proportion of those who passed the exam?
A. Mean = 70%; standard deviation = 3.5%
B. Mean = 70%; standard deviation = 6.48%
C. Mean = 70%; standard deviation = 4.2%
Answers
Answer:
answer is c
Step-by-step explanation:
i know
use solve for θ and round to the nearest tenth
1) sinθ=0.99
2) tanθ=0.27
3) cosθ=0.39
4) tanθ=0.87
5) sinθ=0.08
Answers
Answer:
2 tan0 have fun hope it helps you
Step-by-step explanation:
chvfghcc
5) A farmer raises turkeys and pigs. There are 15 animals all together. The farmer
counts 34 legs on these animals. How many of each type of animal does the farmer
have? (See #7 in Notes)
t-turkey
p-Pigs
Answers
Answer:
2 pigs, 13 turkeys
Step-by-step explanation:
34=2t+4p (equation for legs)
t+p=15 (equation for total # of animals) --> t=15-p
substitution:
34=2(15-p)+4p
p=2
plug back in to other equation
t=15-(2)
t= 13
Solution to the inequality 3x<0
Answers
Answer:
the inequality form is x<0
Step-by-step explanation:
you would divide both sides by 3 And then simplify
what is the long leg of a 30 60 90 triangle when the hypothesis is 8 root 6
Answers
The sine rule states that in any triangle, the length of any side divided by the sine of the opposite angle is a constant.
So for your triangle we have:
8/sin 60° = s/sin 30° = h/sin 90°
8/[(sqrt 3)/2] = s/(1/2) = h/1
16/sqrt 3 = 2s = h
So the length of the short leg s
= 8/sqrt 3 = approx. 4.619
and the length of the hypotenuse
= 16/sqrt 3 = approx. 9.238.
[tex] \frac{2}{3} + \frac{1}{6} [/tex]
please can you do it for me
Answers
Explanation: First, find a common denominator of 6. Multiple 2 and 3 times 2 to get 4/6. Then you just add the numerator. This gives you 5/6.
[tex] \frac{5}{6} [/tex]
find the value of "x" in the following
Answers
(a) 60° (b) 125°
Step-by-step explanation:-
a)Given are three [tex]x[/tex]'s, so,
[tex]3x = 180[/tex](As all sides of triangle add upto 180°)
[tex] = > x = \frac{180}{3} [/tex]
[tex] = > x = 60[/tex]
Hence, value of x is 60°
b)Given two interior angles(55°,70°) & one exterior angle([tex]x[/tex]°)
[tex] = > x° = (55 + 70)°[/tex]
[tex] = > x° = 125°[/tex]
Hence, value of x is 125°
What is the quotient of 36,772 and 58?
Answers
Answer:
634.Step-by-step explanation:
Quotient meaning:
To divide 2 numbers.Equation:
36,772 ÷ 58Solve:
36,772 ÷ 58= 367 - 348 = 19= 197 - 174 = 23= 232 - 232= 0Multiples:
6, 3, and 4.Answer:
634.Answer:
634
Step-by-step explanation:
Pls pls pls pls pls pls help me I’ll help you
Answers
Answer:
minimum of -3
Step-by-step explanation:
Because that is the lowest point on the graph
Ashley needed to get her computer fixed. She took it to the repair store. The
technician at the store worked on the computer for 5 hours and charged her
$171 for parts. The total was $796. Write and solve an equation which can be
used to determine x, the cost of the labor per hour.
Equation:
Answer: X =
Answers
What sentence represents this equation?
413=11−x
11 decreased by 413 is the same as a number.
413 is the same as a number decreased by 11.
413 is the same as 11 decreased by a number.
A number is the same as the difference of 11 and 413.
Answers
Answer:
option b
Step-by-step explanation:
413 is the same as a number decreased by 11 because when you say 11 is decreased by a number that means we are subtracting a number from 11 but when you say a number is decreased by 11 it means 11 is being subtracted from a certain number to give 413
I Hope this helps
Bob is throwing a party. He had 22 pints of soda. At the end of the party, there are 8 pints of soda. How many cups of soda were drank during the party?
Answers
Answer:
14 pints were drank
Step-by-step explanation:
22 pints - 8 pints =
Answer:
14 pints
Step-by-step explanation:
22 - 8 is 14 pints, now just convert the pints to cups, that would be 28 cups since 1 pint is 2 cups so 14 x 2 is 28, hope this helps
jk, kl, and lj are all tangent to o ja = 10, and ck = 14 find the perimeter of triangle jkl
Answers
Answer:
JK, KL, and LJ are all tangent to circle O. JA = 9, AL= 10, and CK= 14. What is the perimeter of triangle JKL?
Step-by-step explanation:
When a figure rotates around a point, this point is called the
Answer:
A image
B. origin
C. graph
D. center of rotation
Answers
Answer:
Your answer is D. center of rotation!
Step-by-step explanation:
A rotation is a transformation in a plane that turns every point of a figure through a specified angle and direction about a fixed point. The fixed point is called the center of rotation . The amount of rotation is called the angle of rotation and it is measured in degrees.
Calculate the following problem
what is 24 plus 12 minus 53 plus 100 and the divide it by 2
Answers
Answer:
33
Step-by-step explanation:
Answer:
(4.5)
Step-by-step explanation:
i hope its help
brainliest me
#CARRYONLEARNING
two numbers are chosen at random from 1, 2 and 3. What is the probability that their sum is an odd number without repitition
Answers
Answer:
2/3
Step-by-step explanation:
1 + 2 = 3
1+ 3 = 4
2+ 3 = 5
there are only two ways of getting an odd number