Step-by-step explanation:
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ALGEBRA II
Ingrid H.
asked • 04/02/20
The sum of three numbers is 126 . The third number is 3 times the first. The second number is 6 more than the first. What are the numbers?
The sum of three numbers is 126
. The third number is 3
times the first. The second number is 6
more than the first. What are the numbers?
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Mackenzie K. answered • 04/02/20
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Lets define a=1st number, b=2nd number, and c=3rd number
We know that a+b+c=126
We also know that the second number is 6 more than the first, so we can represent this as b=a+6
We also know that the third number is 3 times the first which can be represented as c=3a
We can plug these new values into our original equation and get:
a+(a+6)+(3a)=126
2a+6+3a=126 COMBINE LIKE TERMS
5a+6=126
5a=120
a=24
Our first number is 24.
Our second number is 6 more than our first number, so the second number is 24+6=30
Our third number is 3 times the first number, so the third number is 3(24)=72
We can check by plugging these numbers in for a, b, and c in our original equation
a+b+c=126
24+30=72=126
126=126
The numbers are 26, 20, and 80.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Three numbers:
First = a
Second = b
Third = c
Now,
a + b + c = 126 ____(1)
c = 4b ____(2)
b = a - 6 _____(3)
From (1), (2), and (3) we get,
a + (a - 6) + 4b = 126
a + a - 6 + 4b = 126
2a + 4b = 126 + 6
2a + 4b = 132
2a + 4(a - 6) = 132
2a + 4a - 24 = 132
6a = 132 + 24
6a = 156
a = 26
Now,
a = 26
b = a - 6 = 20
c = 4b = 4 x 20 = 80
Thus,
The numbers are 26, 20, and 80.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
What is the solution of the system of equations shown in the graph ?
A) (1,0) and (-3,0)
B) (0,-3) and (0,-1)
C)(-1, -2)
D) (-2,-1)
(0.1296)^3/4 of law of indices plz step by step
Answer:
[tex]\boxed {\frac{27}{125}}[/tex]
Step-by-step explanation:
Solve the following expression:
[tex](0.1296)^{\frac{3}{4}}[/tex]
-Calculate [tex]0.1296[/tex] to the power of [tex]\frac{3}{4}[/tex]:
[tex](0.1296)^{\frac{3}{4}}[/tex]
[tex]\boxed {\frac{27}{125}}[/tex]
Therefore, the final answer is [tex]\frac{27}{125}[/tex].
suatu kelas yang berjumlah 25 siswa,terdapat 20 siswa yg senang sepak bola, 15 siswa senang bulutangkis dan 3 siswa tidak senang keduanya. banyaknya siswa yg senang keduanya adalah?
huh????????????????????
huh????????????????????
PLZZ HELPP I HAVE TO GO SOMEWHERE RN ASAP! (:
Which statement is true about the theory of plate tectonics and the theory of continental drift?
A. The theory of plate tectonics explains how continental movements could occur.
B. The theory of plate tectonics tells exactly where the continents were before Pangaea divided.
C. The theory of plate tectonics shows that continental movements could not have happened.
D. The theory of plate tectonics shows that Pangaea was impossible, but the continents did move.
ten Susan works at the local ice cream shop with her friend Tara. Susan is a shift supervisor and is paid $9.50 an hour. The owner of the shop decided to give Susan a bonus of $25 in her upcoming check to say thanks for all of her hard work. Which function shows Susan's salary (S), if she works h hours during the upcoming week?
1. S(h) = 9.50h + 25
2 S(h) = 9.50h - 25
3. S(h) = 25h + 9.25
4. S(h) = 9.50 + 25
Answer:
1.
Step-by-step explanation:
She works 9.50 hourly = 9.50h
She gets a bonus of 25 dollars so +25
Final answer= 9.50h + 25
Mrs. Roberts plants tomatoes and radishes in the areas shown in the model below.
A model with 7 rows of 5, representing 35 acres of tomatoes, and 7 rows of 4, representing 28 acres of radishes.
Which expression is equivalent to the sum of the two areas?
5 (7 + 4)
5 (7 + 7)
7 (5 + 4)
7 (4 + 7)
Answer: C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Consider the inequality -20.2 > 0y. Which of the following must be true?
Check all that apply.
____________________________________________________________
A) You cannot divide by zero.
B) The inequality is equivalent to -20.2 > 0, which is false.
C) The solution is y > 0.
D) The solution is 0 > y.
E) The solution is y = 0.
____________________________________________________________
Answer:Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Quincy spends of his pocket money on snacks to keep in his locker. Write the fraction in decimal form.
The decimal equivalent of is .
Step-by-step explanation:Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Quincy spends of his pocket money on snacks to keep in his locker. Write the fraction in decimal form.
The decimal equivalent of is .
Answer i took the quiz
the answers r
1
2
HELP PLEASE ! ASAP !
Answer: i think 23x
Step-by-step explanation: i might be incorrect
Answer:
23x + 250
Step-by-step explanation:
x representing the amount of jerseys and 250 representing the one time fee and the y intercept
NEED RN, WORTH 30! ~ please and thank you! <3
the first photo is number one, and the second photo is number two :)
Answer:
It's the third one down for both of them.
Step-by-step explanation:
1. first count the spaces from each intersection, starting with down. #1 has a slope of 2/3. Since it's leaning to the left, it's a negative. The only one with -2/3 is the third option down.
2. Again, look at the slope. this one is 2/1 (or just 2), and is leaning to the left, so is negative. Since there are multiple with -2 as the slope, we then look at the y-intercept. It's -1. The only answer that lines up perfectly with what we have is the third one down.
Four friends race their bikes down the street.
Evan finishes in 6.2 seconds, Devon in 6.0999 seconds, Liza in 6.188 seconds, and Tasha in 6.168 seconds.
Which order shows the friends’ times from fastest to slowest?
A.
Tasha, Liza, Evan, Devon
Answer:
Step-by-step explanation:Fastest to slowest
1. Devon
2. Tasha
3. Liza
4. Evon
1) Noah ate all of his Takis for breakfast, but he forgot that he owed Jason 16
Takis. London gave Noah 27 Takis at lunch the next day. How many Takis
will Noah have in total after he give Jason the Takis?
Answer:
noah will have 11 takis
Step-by-step explanation:
∆GHI is an isosceles triangle with a vertex angle H If the m∠H=80°, then find the m∠I.
Answer:
m∠I = 50 degrees
Step-by-step explanation:
Mathematically, the base angles of an isosceles triangle are equal
So in this case, since H is a vertex;
m∠I + m∠H + m∠G = 180
m∠I = m∠G = x
2x + 80 = 180
2x = 180-80
2x = 100
x = 100/2
x = 50
Answer:
d is the answer on edge 2022
Step-by-step explanation:
What is the solution to this system 2x + y = 1 3x – y = –6 (–1, 3)
Answer: 2x+y=1
3x-y=-6
==>5x=-5
==>x=-1 and y=1-2*(-1)=3
Sol={(-1,3)}
Answer A
Which equation represents a line which is parallel to x = 0?
helppp pleaseee
Answer:
Y = x
Step-by-step explanation:
Answer:
The right answer is y=-7
Hope this helps :3
Step-by-step explanation:
I don't know how you got that answer.
you must be very clever lol.
The answer is actually x=3cm
The Hu family goes out for lunch, and the price of the meal is $53. The sales tax on the meal is 7%, and the family also leaves a 15% tip on the pre-tax amount. What is the total cost of the meal?
The total cost of the meal is $
The ratio of boys to girls in a class is 3:4. There are 35 students in the class. How many students are boys?
Answer:
15 boys and 20 girls
Step-by-step explanation:
1. Since we cant simplify 3:4 we will leave it just like that.
2. 3x+4x=35
3. We add them both to give us 7x=35
4. We divide by 7 to get x by itself which results in 35/7=5.
x=5
5. Now we found x we can create 2 seperate soulutions:
3(5)=
and 4(5)=
Therefore there are 15 boys and 20 girls in the class. This makes sense because 15/20 reduced is 3 over 4.
Find the common difference of the sequence shown.
1/6, 1/3, 1/2, 2/3...
-1/12
-1/6
-1/3
Answer:
1/6
Step-by-step explanation:
Triangles A B C and L M N are shown. Angle B A C is 58 degrees. Angle M L N is 78 degrees. Sides A B and L M are congruent. Sides A C and L N are congruent.
Given AC = LN and BA = ML, which statement must be true?
BC < MN
BC > MN
BC = MN
BA = LN
Answer:
the correct answer is A on edge
Step-by-step explanation:
Answer:
The answer above is correct!
Option A. BC < MN is the answer :)
Step-by-step explanation:
Here's a screenshot for proof - hope this helped :D
Which ones measure to 92 degrees
Answer:
angles 4 7 and 6........
Please help!! Solve for x
Answer:
x=4
Step-by-step explanation:
Line segments VW and UX should be equal, so you can set the equal to each other.
3x=12
x=12/3
x=4
See attachment for math work and answer.
can anyone help me please?
Answer:
There is not enough information to say.
Step-by-step explanation:
Even though they have two sides that are identical in length, the third side could be any number, based on the angles of the triangle. Since we do not know the angles, there is no way of knowing the length of the third side.
Answer:
A,yes they are congruent triangles because they have same shapes and also same numbers
Step-by-step explanation:
what is X for this 2x+7-6x=23
Answer:
[tex]x=-4[/tex]
Step-by-step explanation:
[tex]2x+7-6x=23[/tex]
[tex]-4x+7=23[/tex]
[tex]-4x=16[/tex]
[tex]x=-4[/tex]
Answer:
x=-4
Step-by-step explanation:
2x+7−6x=23
Step 1: Simplify both sides of the equation.
2x+7−6x=23
2x+7+−6x=23
(2x+−6x)+(7)=23(Combine Like Terms)
−4x+7=23
−4x+7=23
Step 2: Subtract 7 from both sides.
−4x+7−7=23−7
−4x=16
Step 3: Divide both sides by -4.
−4x
−4
=
16
−4
x=−4
9-(7-3x) = 4+x-(3-x) solve for x
Answer:
The answer is x= -1.
The points in the table lie on a line. Find the slope of the line.
Answer:
this is given by Rishabh 3456
Step-by-step explanation:
- X is and why is right answer6 - 2 and 2 6Need help on Homework
Answer:
go to tiger algebra on google and type in question
Step-by-step explanation:
¿Cuál es la frecuencia absoluta de 2 puntos?
2-3-2-3-4-1-4-3-3-2
Answer:
-23
Step-by-step explanation:
-7(-1+7k)-3(8k-1)
What the answer?
Answer:
Step-by-step explanation:
-7(-1+7k)-3(8k-1) PEDMAS
7-49k-24k+3 combine like terms
-73k+10
Help on this please
Answer:
99% sure its D
Step-by-step explanation:
can you guys solve this please a movie theaters has 4 groups of seats the largest group of seats in the middle has 20 rows with 20 in each row there are 2 smaller groups of rows of seats on the sides each row a group of seats in the back has 5 rows with 30 rows of seats in each row how many seats are in the movie theaters
Answer:
Step-by-step explanation:
I would start by visually thinking out this problem. Or if you have time sketch it out. And don't forget the popcorn :)
Then while doing this retry the problem