Answers
Since x = 1/2y + 5
You can plug that in second equation
2(1/2y + 5) + 3y = -14
y + 10 + 3y = -14
4y = -24, y = -6
Plug into first equation
x = 1/2(-6) + 5 = 2
Solution: (2, -6)
Step-by-step explanation:
x=½y+5. ......i
2x+3y=-14. .....ii
putting the value of x in equation ii.
2(½y+5)+3y=-14
y+10+3y=-14
4y=-24
y=-6
Now, putting the value of y in first equation.
x=½y+5
x=(½×-6)+5
x=-3+5
x=2.
therefore, the value of x=2 and y=-6.
So, option D is correct answer.
hope this helps you.
Related Questions
please solve fast it's urgent
Answers
Answer:
∅=30°
Step-by-step explanation:
[tex]sin[/tex]∅[tex]=\frac{1}{\sqrt{3} }sin60^{0}[/tex]
sin∅=[tex]\frac{\frac{\sqrt{3} }{2} }{\sqrt{3} } =\frac{\sqrt{3} }{2\sqrt{3} }=\frac{1}{2}[/tex]
∅=[tex]sin^{-1}(\frac{1}{2})= 30^{0}[/tex]
I hope this help you
Jorge has a standard deck of 52 cards and a six-sided number cube. What is the probability that he will draw a diamond from the deck of cards and roll a number greater than two? Write your answer as a simplified
Answers
The probability that Jorge draw a diamond from the deck of cards and roll a number greater than two is 2/39
Probability is the like likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome
If Jorge has a standard deck of 52 cards, the total outcome is 6
If Jorge draw a diamond card, the probability that he will draw a diamond card is 4/52 = 1/13
For a six-sided cube, the total outcome is 6. If he rolls a number greater than two, the expected outcome will be 4
The probability that he rolls a number greater than 2 is 4/6 = 2/3
The probability that Jorge draw a diamond from the deck of cards and roll a number greater than two is 1/13 * 2/3 = 2/39
Learn more here: https://brainly.com/question/15739237
Two angles are supplementary. One of them is 18 more than 6 times the other. How large is the larger angle?
Answers
Answer:
im think its 24
Step-by-step explanation:
18+6
Explanation:
x = smaller angle
6x + 18 = larger angle
Supplementary angles add up to 180 degrees.
x + 6x + 18 = 180
7x + 18 = 180
7x = 162
x = 23.1429
x = 23.14 degrees
X can be substituted into the other expression to find the larger angle.
6(23.14) + 18
138.84 + 18
156.84 degrees
To check, add the two angles to make sure the sum is 180 degrees.
23.14 + 156.84 = 180
179.98 = 180
^^^ the numbers don’t exactly match because of the rounding I did. the solutions are correct
Suppose that 18 inches of wire costs 72 cents.
At the same rate, how much in cents) will 41 inches of wire cost?
Answers
You divide the amount of wire by cost, and multiply that by 41
Answer:
1.61
Step-by-step explanation:
72/18 = 4cents per inch
4*41 = 161
1.61$
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
Answers
Answer:
The answer is B) 2/3x=5 and E) 6x-3+8=11.
Step-by-step explanation:
Basically, all we have to do is see which of the answer options contains an equal sign. So lets go from there:
Does A have an equal sign? We can see the plus sign, a coefficient, and a variable, but we don't have an equal sign, so A is not an equation.
What about B? Well, we can see an equal sign that is showing that two values of an expression equal each other, so yes, B is an equation.
What about C? Well, we can see the minus sign, a variable, and a coefficient, but there is no equal sign. Therefore C is not an equation.
What about D? Well, D has parenthesis, variables, coefficients, and a plus sign, but no equal sign. So no, D is not an equation.
Finally, is E and equation? Well, we can see that there are two values that are equal to each other as is shown by an equals sign. So yes, E is an equation.
*Had to replace so I could submit the answer
Solve. If this is no solution write s { }
5x-9>8+5x
Answers
If you were to solve the following system of equations by using a matrix,
which of the following would be your coefficient matrix?
4x – 3y=7
x + 5y=13
Answers
Answer:
I believe it is C but it's good to double check
Step-by-step explanation:
Answer:
Step-by-step explanation:
b
Find the measures of the interior angles.
what is angle a, b, and c
Answers
Using angle sum property
[tex]\\ \sf\longmapsto x+90+30=180[/tex]
[tex]\\ \sf\longmapsto x+120=180[/tex]
[tex]\\ \sf\longmapsto x=180-120[/tex]
[tex]\\ \sf\longmapsto x=60[/tex]
Determine the type of triangle that is drawn below.
Answers
Answer:
scalene acute
Step-by-step explanation:
all the angles are lower than 90º
no two angles are the same
-4x + 2x + 3x + 8
Asap
Answers
Answer:
x + 8
Step-by-step explanation:
1. To simplify this expression, we have to combine like terms.
(-4x + 2x + 3x) + (8)(-2x + 3x) + (8)x + 8Therefore, the answer is x + 8.
Estimate the sum using front end estimation.
546+ 412
A) 900
OB) 950
OC) 960
OD) 1000
Answers
Answer:546 +412 Is 958
Step-by-step explanation:
Paul is riding his bike 48 miles to the beach. His average rate of speed is 13.8 miles per hour. Paul stopped for a snack after 3 hours. How many miles does he have to go after his snack? Round your answer to the nearest tenth if necessary.
Paul has 3.5 miles to go after his snack.
Paul has 6.6 miles to go after his snack.
Paul has 34.2 miles to go after his snack.
Paul has 45.0 miles to go after his snack.
Answers
Answer:
Paul has 6.6 miles to go after his snack.
Step-by-step explanation:
Speed is the rate of moving. The speed can be calculated by dividing the distance traveled by the amount of time it took.
speed= distance/time , v=d/t
So,from Paul's average speed we can calculate how much distance he has passed after 3 hours.
distance_3h=v*t=13.8 miles per hour * 3 hours
distance_3h=41.4 miles
There are total 48 miles to the beach, so Paul have to go 48miles-distance_3h after his snack, which gives:
48-41.4=6.6 miles
Determine a series of transformations that would map polygon ABCDE onto polygon A’B’C’D’E’?
Answers
Answer:
1. reflection over y axis
2. dilation over the origin with scale factor of 3
Step-by-step explanation:
1. reflection about y axis
2. dilation over the origin (0,0) with scale factor of 3
why did lil uzi vert get a diamond in his head
Answers
Answer:
Because he thought it would make him stand out.
What is the solution and answer of this question:
3 log 10 + 9 log 10
Answers
Answer:
12
Step-by-step explanation:
the answer is 12 ndndbdbdndnfnnfnfnfnfnfnfnfnfn
Janice is considering two restaurants for a party. The first restaurant charges $15 per person plus a flat rate of $175 to reserve a party room. The second restaurant charges $9 per person plus a flat rate of $329. Select an equation that shows the total charge from the two restaurants is the same. Let x be the number of people.
Answers
Answer:
The answer is 15x + 175 = 9x + 329.
Step-by-step explanation:
Hope this helps!
Select the equation that contains the points, (-2,-2) and (4, 10).
O y+6=-2(x+1)
O y+2 = 6(x+6)
O None of the other answers are correct
O y-6= 2(x-2)
O y-6=-2(x - 2)
Answers
Help stuck on this question
Answers
Answer:
Find the slope of the original line and use the point-slope formula: y−y1=m(x−x1 )
to find the line parallel to -> y = 6/7 x −2.
A: y = 6/ 7x−7
Which polynomial represents the area of the rectangle? 3x-5= x+1
Answers
Answer: 3x² - 2x - 5
Step-by-step explanation:
The area of a rectangle is simply length * width. Thus, simply multiply them, and FOIL.
(3x - 5) (x + 1)
3x ^2 + 3x - 5x - 5
Combine like terms
3x² - 2x - 5
Hope it helps :) and let me know if you want me to elaborate.
Find the missing number so that the equation has no solutions.
3x - 10 = blank x + 11, please answer fast.
Answers
Answer:
9x
Step-by-step explanation:
write the equation
it passes through (-5,-7) and (-5,7)
Answers
Answer:
x = -5
Step-by-step explanation:
Find the gradient:
m = change in y ÷ change in xm = (7 - -7) ÷ (-5 - -5)m = 14 ÷ 0m = 0 - There is no gradient, and it is a vertical lineThe equation is x = -5, because in both co-ordinate pairs, the x is -5 - only the y changes
Hope this helps!
Paul had 9.35 ounces of water left in his water jug.
How do you write this number in word form?
Answers
Answer:
Nine and 35 hundredths of water
Step-by-step explanation:
Answer:
9.35 ---> Nine and thirty-five hundredths
Which of these tables represents a function??
Answers
Answer:
The first table
Step-by-step explanation:
You have to make sure that x is unique throughout.
First Table: the inputs are 2, 4, 6, 7
each input value is different or unique
Second Table: input values are 3, 5, 3, 5
three and five repeat themselves, so there is not a function
Third Table: input values are -2, 0, 1, -2
negative 2 repeats itself so it is not unique
need help with this one too
Answers
Answer:
Line P
Step-by-step explanation:
Right know, we only care about the "alternate" part, or which line the two angles are opposite off. We can see that Line P is between Angle 9 and 3, making it the transversal line and causing 9 and 3 to be alternating.
-Chetan K
You ate 1/6 of a pizza and your brother eats 5/8 of the pizza .How much did your brother eat compared to you
Answers
Answer:
Subtract: 5/8 - 1/6 = 5 · 3/8 · 3 - 1 · 4/6 · 4 = 15/24 - 4/24 = 15 - 4/24 = 11/24
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(8, 6) = 24. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 6 = 48. In the following intermediate step, the fraction result cannot be further simplified by canceling.
In other words - five eighths minus one sixth = eleven twenty-fourths.
Rewrite the equation below so that it does not have fractions
2/3x-5=3/4
Answers
Answer:
Step-by-step explanation:
The best way to do this problem is to find the lowest common denominator.
2/3 : 3*2/(3*3)
3/4 : 3*3 / 3*4
Notice what you have done. You have multiplied both denominators by something that gets rid of the denominators, or will when you multiply by 4 * 3 = 12
So multiply the equation by 12
(2/3 x- 5 = 3/4 ) 12
8x - 60 = 9 Add 60 to both sides
8x - 60 = 9 Combine
8x = 69 Divide by 8
x = 69/8
x = 8 5/8
! ! ! Angles ! ! !
(worth ten points)
Which is the best explanation of why triangles ABC and ACD are similar?
A.) Both triangles are right triangles.
B.) Both triangles contain angles A and C.
C.) Both triangles a right angle and angle A.
D.) Both triangles contain a right angle and angle C.
Answers
Answer:
the answer is a :)
Step-by-step explanation:
The regular price of a baseball hat is $14.45. If Carlos buys the baseball hat on sale for 20% off the regular price, how much change will he receive after paying with $20? No links!
Answers
Answer:
I believe it's $8.44 hope this helps
Do the following: Ayie says that 7-³ is the same as – 7³. Write an explanation of how Ayie should interpret 7-³, then show her how each expression results in a different value.
Answers
- 7^3 = - (7^3) = -343
As can be seen, the results are very different.
Solve 48x - 30 = 30 + 78x