Answer:
Step-by-step explanation:
A+K+L=159
A-K=11
2K=L
Plug in 2K instead of L in the equation: A+K+L=159
A+3K=159
Plug in K+11 instead of A in the equation: A+3K=159
4K+11=159
4K=148
Kevin=$37
Pluge in 37 instead of K in the equation: A-K=11
A-37=11
Austin=$48
Plug in 48 instead of A and 37 instead of K in the equation: A+K+L=159
48+37+L=159
L=74
How many liters of a 50% acid solution must be mixed with a 30% acid solution to get 180 L of a 40% acid solution?
Answer:
ninety liters
Step-by-step explanation:
Ninety liters of the 50% acid solution have to be mixed with 90 liters of the 30% solution to yield 180 liters of 40% solution.
I need help with this question
x+4:-x-4
What does x equal to?
Answer:
casa. Completa las oraciones con el pronombre de objeto directo correcto, según el contexto.
1. Tu ropa está sucia. ¿Por qué no ____ lavas?
2. Ellos tienen muchos libros. ____ tienen en la estantería del despacho.
3. La casa de mi mamá tiene muchas ventanas, pero no ______ abre todos los días.
4. Profesora, Ud. debe usar la cochera. ¿ ______ve allí?
5. ¿Quieres ir al cine con nosotros? _____ llamamos antes de salir.
Helpppppp omggg I’m gonna fail
Answer:
D.
Step-by-step explanation:
mrs.price purchases 24 tickets for the students in her class. evaluate the expression t=24 please help I'm stuck and I don't know much
Answer:
t(28-8)= , (28-8)
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
just subtract whats in the parenthesis (28 - 8) and its 20
Select the correct answer from each drop-down menu. Consider this equation. 1/x + 2/x+10 =1/3 Complete the statements to make them true. The least common denominator is . The equation will have valid solutions.
Answer:
[tex] \frac{1}{x} + \frac{2}{x} + 10 = \frac{1}{3} ) \times3 x \\ 3 + 6 +30x = x \\ 30x - x = - 9 \\ 29x = - 9 \\ x = - \frac{9}{29} [/tex]
Answer:
i have the second part!
Step-by-step explanation:
the equation will have 2 valid solutions
The value of nCn - 1 + nCn - 2 is
(a) n/2
(b) n(n + 1)/2
(c) n(n-1)/2
(d) (n + 1)²/2
Step-by-step explanation:
We have,
[tex]\displaystyle\sf{\,^{n}C_{n-1}+\,^{n}C_{n-2}}[/tex]
[tex]\displaystyle\sf{=\dfrac{n!}{(n-1)!(n-(n-1))!}+\dfrac{n!}{(n-2)!(n-(n-2))!}}[/tex]
[tex]\displaystyle\sf{=\dfrac{n!}{(n-1)!(n-n+1)!}+\dfrac{n!}{(n-2)!(n-n+2)!}}[/tex]
[tex]\displaystyle\sf{=\dfrac{n!}{(n-1)!(1)!}+\dfrac{n!}{(n-2)!(2)!}}[/tex]
[tex]\displaystyle\sf{=\dfrac{n(n-1)!}{(n-1)!(1)!}+\dfrac{n(n-1)(n-2)!}{(n-2)!(2)!}}[/tex]
[tex]\displaystyle\sf{=\dfrac{n}{1}+\dfrac{n(n-1)}{2}}[/tex]
[tex]\displaystyle\sf{=n+\dfrac{n^2-n}{2}}[/tex]
[tex]\displaystyle\sf{=\dfrac{2n+n^2-n}{2}}[/tex]
[tex]\displaystyle\sf{=\dfrac{n^2+n}{2}}[/tex]
[tex]\displaystyle\sf{=\dfrac{n(n+1)}{2}}[/tex]
Using the combination formula, it is found that the value of the expression is given by:
(b) n(n + 1)/2
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem:
[tex]C_{n, n-1} = \frac{n!}{(n-1)!(n - n + 1)!} = \frac{n(n-1)!}{(n-1)!} = n[/tex]
[tex]C_{n, n-2} = \frac{n!}{(n-2)!(n - n + 2)!} = \frac{n(n-1)(n-2)!}{(n-2)!2!} = \frac{n(n-1)}{2}[/tex]
Then, adding these values:
[tex]n + \frac{n(n-1)}{2} = \frac{2n + n^2 - n}{2} = \frac{n(n + 1)}{2}[/tex]
Hence option b is correct.
More can be learned about the combination formula at https://brainly.com/question/25821700
9 to the power 18 = 27 to the power x work out the value of x
Answer:
Step-by-step explanation:
27^x = 9÷(3^x)
So (3^3)^x = (3^2)÷(3^x)
So 3^3x = 3^(2-x)
Comparing powers on both sides,
3x = 2 - x
So, 4x = 2
So, x = 1/2
Given ( 27 ) ^ x = 9 / 3 ^x
⇒ ( 3 × 3 × 3 )^x = ( 3 × 3 ) / 3^x
⇒ ( 3 ³ )^x = 3² / 3^x
⇒ 3 ^ 3x × 3^x = 3² [ since ( a ^m)^n = a ^mn ]
⇒ 3^ (3x +x) = 3² [ since a^m × a^n = a ^m+n ]
⇒ 3^4x = 3²
⇒4x = 2 [ since If a ^m = a ^n then m = n ]
⇒ x = 2 / 4
∴ x = 1 / 2
I hope this helps you.
1.) Keisha's kitchen is shaped like a square. The room has an area of 256 feet squared. Which is the length of one side of Keisha's kitchen?
Also the attachment, and is it rational or irrational?
Answer:
1. 16 ft
[tex]\sf 2.\quad \dfrac{29}{99}[/tex]
Step-by-step explanation:
Question 1Formula
Area of a square = s² (where s is the side length)
Given:
Area = 256 ft²Substitute the given area into the formula and solve for s:
[tex]\sf \implies 256=s^2[/tex]
[tex]\sf \implies \sqrt{256}=\sqrt{s^2}[/tex]
[tex]\sf \implies s=\pm 16[/tex]
As distance is positive, the length of one side of Keisha's kitchen is 16 ft.
Question 2Converting a recurring decimal to a fraction
Let x equal the recurring decimal:
[tex]\implies \sf x=0.292929...[/tex]
Create another number with recurring 29s by multiplying the above by 100:
[tex]\implies \sf 100x=29.292929...[/tex]
To solve these two equations and write x as a fraction, subtract the first equation from the second to remove all the recurring digits after the decimal point:
[tex]\begin{array}{r r c l}& \sf 100x &= &\sf 29.292929...\\- & \sf x&=& \sf \phantom{..}0.292929...\\\cline{1-4} & \sf 99x&=& \sf29\\\cline{1-4}\end{array}[/tex]
Therefore:
[tex]\implies \sf 99x=29[/tex]
[tex]\implies \sf x=\dfrac{29}{99}[/tex]
Therefore:
[tex]\sf \implies 0.\overline{29}=\dfrac{29}{99}[/tex]
Learn more about converting recurring decimals to fractions here:
https://brainly.com/question/27788661
https://brainly.com/question/27643441
this one is also for trustmeiamsmrt
Answer:
The thing is I don't know if like is will put fractions or decimals so I guess try both if u can if not I would go for decimals first because that is more probable.
Midpoint of some points
AB midpoint = -1,1.5
BC midpoint = -2.5,2
CA midpoint = -2.5,1.5
Midpoint of DE = -3,0
Midpoint of FG = 3,-1
Sorry that it took some time
Kenya picked 18 flowers from her garden. If 3/5 of flowers in her garden remain unpicked, how many flowers are still in her garden?
Answer:
I think it's 27
Step-by-step explanation:
because if she picked 2/5 of the flowers if u divide 18 by 2 u get 9 so that's 1/5 I think and then if u times that by 3 u get 27 and like that's the 3/5
ratio x : y is 3: 1
Which of the following statements is correct?
A x 3/4 of y
B y is 1/3 of x
C x is 1/3 of y
D y is 1/4 of x
Answer:
D
Step-by-step explanation:
1+3=4
1 out of 4 =1/4
remember x is bigger than y
Mia solved the equation 4x - 8 = 2(2x-4) and ended up with -8 = -8. what does this mean?
a) one solution
b) many solutions
c) no solutions
d) she did it wrong
Answer:
D
Step-by-step explanation:
She should have ended up with 4x-8= 4x-8
When you put everything on the proper side everything cancels out
what is 1760 rounded to the nearest hundred
Answer:
1800
Step-by-step explanation:
Solve the system of equations: 2x + 5y = -1 and 3x - y = 7
A. х = 7, y=6
B. x = 2, y = -1
C. X = 2, y = 1
D. None of the above
Answer:
B.) is correct answer .....
I think it is right..
I think it is right..Please make me brainliest..
the first stage in the rational decision-making process involves ______.
Answer:
Identifying the problem
HELP DUE IN 10 MINUTES!!!!
Two step equations word problems
The perimeter of a rectangle is 34 units. Its width is 6.5 units.
1. Write an equation to determine the length (l) of the rectangle.
2. Find the length of the rectangle.
Answer:
10.5 unitsStep-by-step explanation:
Given
Perimeter P = 34 unitsWidth w = 6.5 unitsLength l = ?Equation, in terms of l:
2(l + 6.5) = 34l + 6.5 = 17l = 17 - 6.5l = 10.5Answer:
Equation:6.5 + 6.5 + L +L =34
Answer: 10.5
Step-by-step explanation:
To find perimeter you need L+W+L+W. You have a width of 6.5. When you plug that into the equation you get 6.5 + 6.5+ L+L=34. Combine like terms (6.5 +6.5). That leaves you with 13 + 2L = 34. Now, you want to subtract 13 from both sides to isolate the L. You now have 2L = 21. Now you should divide everything by 2. 21/2 = 10.5
I JUST NEED TO KNOW THE EXPRESSION I WILL GIVE BRAINLIESTJackson purchased a pack of game cards that was on sale for 22% off. The sales tax in his county is 6%. Let y represent the original price of the cards. Write an expression that can be used to determine the final cost of the cards.
Answer:
y-0.22%=x+0.06%
Step-by-step explanation:
Write the equation of the line that is parallel to y=-6x+2 and that has a y-intercept of 6
what type of mathematical law is this a×m=m×a
Answer:
Commutative Property
Step-by-step explanation:
1. The commutative property is a mathematical law that states that the order in which we multiply numbers does not change the product. Because a × m results in the same answer from multiply m × a, it falls under this property.
Plsss help me with this question!!!
Answer:
d 2.5
Step-by-step explanation:
|-2|-1/-2
2+1/2
2.5
7/1 − 3 ( 7/3n − 7/2 )
Answer:
[tex]\frac{35}{2}[/tex] - [tex]7n[/tex]
Step-by-step explanation:
7/1 − 3( 7/3n − 7/2 )
Anything divided by one gives itself.
7 - 3 ( [tex]\frac{7}{3}n - \frac{7}{2}[/tex])
Use the distributive property to multiply −3 by [tex]\frac{7}{3}n - \frac{7}{2}[/tex])
7 - 3 × ([tex]\frac{7}{3}[/tex][tex]n[/tex] - 3 (-[tex]\frac{7}{2}[/tex])
Multiply −3 times [tex]\frac{7}{3}[/tex]
7 - 7n - 3 (-[tex]\frac{7}{2}[/tex])
Express -3 (-[tex]\frac{7}{2}[/tex]) as a single fraction.
7 - 7n + [tex]\frac{-3(-7)}{2}[/tex]
Multiply −3 and −7 to get 21.
7 - 7n + [tex]\frac{21}{2}[/tex]
Convert 7 to fraction [tex]\frac{14}{2}[/tex]
[tex]\frac{14}{2}[/tex] - 7n + [tex]\frac{21}{2}[/tex]
Since [tex]\frac{14}{2}[/tex] and [tex]\frac{21}{2}[/tex] have the same denominator, add them by adding their numerators.
[tex]\frac{14 + 21}{2} - 7n[/tex]
Add 14 and 21 to get 35.
[tex]\frac{35}{2} - 7n[/tex]
Who was in Paris ???? ?
Who?
Answer:
N.ice I.ndividual G.iven G.ood A.spects S.eriously was in paris
Step-by-step explanation:
Answer:
the French
Step-by-step explanation:
Can someone help!!! I've been stuck on this for a while
Choose the property that justifies the first step of simplifying the expression below.
3(-2x+5)
Property
Step
3.-2x+3.5
What is the slope of the line that passes through the points (−10,0) and (-13, 3) ? Write your answer in simplest form.
Answer:
A slope of -1
Step-by-step explanation:
use the slope formula
Multiply. 893 × 578 = 516,145 561,154 516,154 516,144
Answer:
516,154 here you goooooooooooi
Answer:
c) 516154
Step-by-step explanation:
Q) 893 × 578 = ?
→ 893 × 578
→ 516154 is the answer.
which of the following pairs are twin prime a,3 and 5
Answer:
3 and 5 are prime twin?
Huh?
please answer!! WILL GIVE A BRAINLIEST AND THANKS!
Answer:
2) Lyn has 42, and Jo has 21
4) 320 women
6) 12 miles
Step-by-step explanation:
2) Divide 63 by 3 and get 21. 21 + 21 = 42 for Lyn, and leave 21 for Jo.
4) Subtract 20 from 620, and get 600. Divide 600 into 2 and get 300. 300 +20 = 320
6) Divide 24 into 2, and get 12. Multiply 12 by 3 and get 36. Divide 36 by 3 and get 12. 12 is your answer.
Hope this helps!
-kiniwih426
What is m∠PTS? Enter your answer in the box.
Answer:
55
Step-by-step explanation:
m< PTS = m< RTQ since they are vertical angles
11(y-10) = 4y-5
Distribute
11y - 110 = 4y-5
Subtract 4y from each side
11y-110-4y = 4y-5-4y
7y-110 = -5
Add 110 to each side
7y-110+110 = -5+110
7t = 105
Divide by 7
7y/7 = 105/7
y =15
We want to find m<PTS
m< PTS = 11( y-10) = 11(15-10) = 11(5) = 55