2x+3y=12
if y=8
what is x
Answers
Answer:
-6
Step-by-step explanation:
2x + 3(8) = 12
2x + 24 = 12
2x = 12 - 24
2x = -12
x = -12/2
x = -6
2x+3y=12
2x+3(8)=12
2x+24=12
-24 -24
2x=-12
\2 \2
x=-6
Related Questions
One number is 24 more than the other. What are the numbers if their sum is 84
Answers
Answer:
The required numbers are 30 and 54.
Step-by-step explanation:
Let 'x' be the smaller numberLet 'y' be the larger numberGiven that one number is 24 more than the other, so
[tex]y = x + 24[/tex]
Given that the sum of the numbers is 84, so
[tex]x + y = 84[/tex]
so we have two equations
[tex]\begin{bmatrix}y=x+24\\ x+y=84\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}y-x=24\\ y+x=84\end{bmatrix}[/tex]
subtracting the equartions
[tex]y+x=84[/tex]
[tex]-[/tex]
[tex]\underline{y-x=24}[/tex]
[tex]2x=60[/tex]
now solve 2x = 60 for x
[tex]2x=60[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{60}{2}[/tex]
Simplify
[tex]x=30[/tex]
For y - x = 24 plug in x = 30
[tex]y-30=24[/tex]
Add 30 to both sides
[tex]y-30+30=24+30[/tex]
Simplify
[tex]y=54[/tex]
Thus, the required numbers are 30 and 54.
Verification:
Given that one number is 24 more than the other, so
[tex]y = x + 24[/tex]
substitute x = 30
y = 30 + 24
y = 54
Thus, y is 24 more than x.
Given that the sum of the numbers is 84, so
[tex]x + y = 84[/tex]
sustitute x = 30 and y = 54
30 + 54 = 84
84 = 84
L.H.S = R.H.S
Thus, the sum of the numbers is indeed 84.
angle DGF = ________
Answers
Answer:
65°
Step-by-step explanation:
[tex] m\angle DGF = 90\degree - 25\degree [/tex]
[tex] m\angle DGF = 65\degree [/tex]
Answer:
65
Step-by-step explanation:
Angle AGF = 90 (given)
Angle AGC = 25 (given)
Angle BGD = 25 (Vertically Opposite Angles are equal)
Angle DGF = 180-(90+25) (angles in a straight line is equal to 180)
=180-115
=65
Hope it helped!
Thanks!
Which integer represents this scenario?
an elevator goes down 2 floors
Answers
Answer:
We usually define the cases like this as follows:
If we go upwards N units, then we add N.
If we go downwards N units, then we subtract N.
In this case, suppose that the elevator is originally on the floor K (can be any integer number larger or equal than 2)
Then the elevator goes down 2 floors.
Then now the elevator will be on the floor (K - 2)
Then the integer that represents this scenario is -2, which represents the change in the floor number where the elevator is.
An 18 fluid ounce bottle of lotion costs $10.99, what is the price per fluid ounce?
Answers
Answer:
$0.61 per fluid ounce
Step-by-step explanation:
$10.99 / 18 = $0.61 per fluid ounce
16 Which equations represent a relationship where у
is a nonlinear function of x? Select all that apply.
A. y= 4x
B. x = - 6y
C. y = |x| + 1
D.
y=2+1
х
E. x - 5y = 2
F.
1 1
y = +
Answers
Answer:
b
Step-by-step explanation:
Distribute 5(3c-2r)
Answers
Answer:
15c-10r
Step-by-step explanation:
Combine like terms.
5*3c=15c
5*2r=10r
So we have 15c-10r
- 3x + 5y = -2
2x - 2y = 1
Solve by elimination
Answers
the answer i think its 8 not sure
fill in the blanks
1. Hindu deity known as “the Absolute” _______________________.
2. Hindu deity of knowledge and creativity _____________________.
3. Hindu deity that represents transformation of the universe ____________________.
4. Demon king mentioned in the Ramayana ___________________.
5. Hindu deity the represents the creation of the universe ______________________.
6. Hindu deity that represents preservation of the universe _____________________.
7. Hindu deity of good health and prosperity ____________________.
8. Hindu deity of love and devotion ______________________.
Answers
Answer:
I can answer a couple
4. Ravan (i am sure)
5. Bhramha (i think)
6. Vishnu
Step-by-step explanation:
hope this helps!
Darlene's cat had a litter of southern kittens Three of the kittens were black what fraction of the kittens were not black also right this fraction into a division problem
Answers
Answer:
1/4
Step-by-step explanation:
Juan ramirez sells suits in a major department store on weekends he Ernst a commission of 5 percent on the first ten suits and he sells more than ten he Ernakulam additional 3 percent last weekend he sold thirteen 250 suits what was his commission?
Answers
Answer:
$185
Step-by-step explanation:
The first ten suits sold for 10×$250 = $2,500
commission = 5% of $2,500 = 0.05×$2,500 = $125
The next three suits sold for 3×$250 = $750
commission = 8% of $750 = 0.08×$750 = $60
Total commissions = $125+$60 = $185
There are several errors in the question. If you are using voice recognition, you are better off typing the question manually.
Huy is solving a quadratic equation by completing the square. His first few steps (steps 1-4) are shown below. Which of the following statements is true regarding Huy's work?
Given x2+3x−5=0
Solution x2+3x=5 step 1
x2+3x+9=5+9 step 2
(x+3)2=14 step 3
x=−3±14−−√ step 4(1 point)
Huy is incorrect. He made a mistake in step 1 when he added a 5 to both sides. He should have only added a 5 to the left side of the equation.
Huy is incorrect. He made a mistake in step 4 when he solved the equation (x+3)2=14 for x.
Huy is incorrect. He made a mistake in step 2 of the solution when he added a 9 to both sides.
Huy is correct. He has done a nice job of completing the square.
Answers
Answer:
Step-by-step explanation:
yes the answer is B
it should have been x+3=+-[tex]\sqrt{14}[/tex]
so x=-3+-[tex]\sqrt{14}[/tex]
hope my answer helps if it does please mark as brainliest
The true statement will be;
''Huy is incorrect. He made a mistake in step 2 of the solution when he added a 9 to both sides.''
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The quadratic equation is,
⇒ x² + 3x - 5 = 0
Now,
Huy is solving a quadratic equation by completing the square.
The steps are;
The quadratic equation is,
⇒ x² + 3x - 5 = 0
Solution; x²+3x=5 (step 1)
x²+3x+9 = 5+9 (step 2)
(x + 3)² = 14 (step 3)
x = - 3 ± √14 (step 4)
Clearly, In step 2 when add 9 then it not make the square form.
That is,
x² + 3x + 9 ≠ (x + 3)²
Thus, The true statement will be;
''Huy is incorrect. He made a mistake in step 2 of the solution when he added a 9 to both sides.''
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
the area of a rectangle is 18cm square. what coul it dimension be?
Answers
Answer:
9 and 2
Step-by-step explanation:
9×2=18 and one side is longer than the other
your questions is wrong so dont come answer
Jerome went to the store and bought 2 cartons of eggs for $1.30 each and 1 box of pancake mix. His total bill was $6.10. Which equation can be used to correctly find the cost, x, of the box of pancake mix?
Answers
This would be one of a few equations to do. 1.30(2) represents the cartons of eggs which are each 1.30. the X will represent the price of pancake mix and the total is 6.10.
Anyone need help? :D
Answers
Answer:
yeah why? are you going to help?me
Answer:
Yes i actually do.
Step-by-step explanation:
Liam had63 markers, Alex has 49 markers, and Oliva has 77 markers use the GCF and
Answers
Answer:
and.....? look im only answering for the points m'lady. all i know is that olivia has, alex has, and liam HAD.
Step-by-step explanation:
Answer:
Step-by-step explanation:
63 = 3 * 3 * 7
49 = 7 * 7
77 = 7 * 11
So the GCF = 7.
LCM = 7 * 7 * 3 * 3 * 11 = 4851.
MONTRESOR: My dear Fortunato, you are luckily met. How remarkably well you are looking to-day! But I have received a pipe of what passes for Amontillado, and I have my doubts.
FORTUNATO: How? Amontillado? A pipe? Impossible! And in the middle of the carnival!
MONTRESOR: I have my doubts, and I was silly enough to pay the full Amontillado price without consulting you in the matter. You were not to be found, and I was fearful of losing a bargain.
FORTUNATO: Amontillado!
MONTRESOR: I have my doubts.
FORTUNATO: Amontillado!
MONTRESOR: And I must satisfy them.
FORTUNATO: Amontillado!
MONTRESOR: As you are engaged, I am on my way to Luchesi. If any one has a critical turn, it is he. He will tell me—
FORTUNATO: Luchesi cannot tell Amontillado from Sherry.
MONTRESOR: And yet some fools will have it that his taste is a match for your own.
FORTUNATO: Come, let us go.
MONTRESOR: Whither?
FORTUNATO: To your vaults.
Answers
Answer:
Montresor is luring Fortunato to a trap.
Step-by-step explanation:
Montresor is luring Fortunato to a trap that Montresor has prepared in his own basement.
In the story by Edgar Allen Poe, Montresor (the narrator) tells the reader that Fortunato has horribly insulted Montresor and Montresor will get revenge.
What is the surface area of the triangular prism?
A)
144 cm
cm2
B)
216 cm2
C)
225 cm2
D)
256 cm
Answers
A map uses a scale of 1 in :20mi. Find the the actual distance of 5.5 inches on the map. help me
Answers
Answer:
110
Step-by-step explanation:
5.5 x 20 = 110
48/96 in its simplest form
Answers
Answer:
1/2
Step-by-step explanation:
just divide it I guess
1/2
48/2
=24/2
=12/2
=6/2
=3
Hope this helps :D
Sunjai leaves a tip of $4 for his meal at the local burger place. His original meal cost him $18. What was his percent for the tip?
Answers
Answer:its 22% pls just give me brainliest so i can move up a ranking
Step-by-step explanation:
Answer:
22%
Step-by-step explanation:
Dakota and his brother mowed yards to earn money over the summer. Together they made $312. If they split the money they made, how much money will each boy get?
Answers
Answer: $156
Step-by-step explanation: 312 divided by 2 = 156
Which of the following equations would have the roots -3 and 2?
Answers
Answer:
Step-by-step explanation:
The second one.
If the simple interest on $2,000 for 2 years is $280, then what is the interest rate?
Answers
Answer:
0,28percent
Step-by-step explanation:
If simple interest formula is = P X r X t
Then interest rate = p X t/ I
Your brother is going away to college, so you no longer have to share a bedroom. You decide to redecorate a wall by
hanging two new posters on the wall. The wall is 14 feet wide and each poster is four feet wide. You want to place the
posters on the wall so that the distance from the edge of each poster to the nearest edge of the wall is the same as the
distance between the posters, as shown in the diagram below. Determine that distance.
14 Feet
4 Feet
4 Feet
Answers
Answer:
2 feet apart each
Step-by-step explanation:
Factor the following expression so it is in simplest form.
6a – 4(2a + 3)
A.
–2(a – 6)
B.
–2(a + 6)
C.
2(7a – 6)
D.
2(7a + 6)
Answers
Answer:
B) -2(a+6)
Step-by-step explanation:
6a-4(2a+3)
6a-8a-12
-2a-12
factor
-2(a+6)
how can you
change the equation y = mx + b to
shift the graph down?
Answers
Step-by-step explanation: To shift the graphs up and down on the coordinate system, you need to manipulate or change the y-intercepts.
The y-intercept is just the constant term in the equation.
As long as the slopes remain the same, the graphs can be
translated up or down by changing the constant value.
Take a look at these lines graphed below.
Notice that y = x + 11 is the same as y = x + 4 but
y = x + 11 is translated 7 units down to get y = x + 4.
Seventy-five percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 70% have an emergency locator, whereas 89% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared. (Round your answers to three decimal places.) (a) If it has an emergency locator, what is the probability that it will not be discovered
Answers
Answer:
0.05 = 5% probability that it will not be discovered
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Has an emergency locator
Event B: Not discovered
Probability of having an emergency locator:
70% of 75%(discovered).
100 - 89 = 11% of 100 - 75 = 25%(not discovered). So
[tex]P(A) = 0.7*0.75 + 0.11*0.25 = 0.5525[/tex]
Intersection of events A and B
Having an emergency locator and not discovered, so 11% of 25%
[tex]P(A \cap B) = 0.11*0.25 = 0.0275[/tex]
What is the probability that it will not be discovered?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0275}{0.5525} = 0.05[/tex]
0.05 = 5% probability that it will not be discovered
The cost of a tablet after a 20% discount can be represented by the expression t-0.2t. Simplify the expression
Answers
Steps are on paper.
Step-by-step explanation:
simplified 0.16t I used a simplify calculator
Find the standard deviation of the given data rounded to the nearest hundredth, 147,141,120,124,128
Answers
Answer:
The correct answer is 10.30
Step-by-step explanation:
First, find the mean of the numbers by averaging them. Then, subtract the observation from the mean. Square them, then average them. Find the square root of this number and round to the nearest hundredth.
Answer:
10.30
Step-by-step explanation:
NEED HELP WITH FUNCTIONS
Answers
Answer:
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