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Work Shown:
x = 0.515151...
100x = 51.515151....
Subtract the two equations to get 100x-x = 99x on the left side and 51.515151.... - 0.515151... = 51 on the right side. Notice the decimal portions cancel out.
So we end up with 99x = 51 which solves to x = 51/99
This means 51/99 = 0.515151...
Answer:
17/33
Step-by-step explanation:
We first let 0.51 be x.
Since x is recurring in 2 decimal places, we multiply it by 100.
100x=51.51
Next, we subtract them.
100x−x=51.51−0.51
99x=51
Lastly, we divide both sides by 99 to get x as a fraction.
x=51/99
=17/33
Which of the following is a set of noncollinear points?
© P, R, T
OP,Q,R
® Q, R, S
DS, T, U
Answer:
P ,Q ,R
Step-by-step explanation:
Three or more points that doesn't lie on a straight lie are Non collinear points
The sum of two numbers is five more than twice the first. The sum of the number is 45. Find the numbers
Answer:
First number is 20, second is 25
Step-by-step explanation:
x + y = 5 + 2x = 45
solve for x first
5 + 2x = 45
x = 20
then solve for y
20 + y = 45
y = 25
hope this helps
Fill in the missing number. (please explain your answer)
Answer & Step-by-step explanation:
Make a fraction using the numerator:
[tex]\frac{48}{15} =\frac{x}{y}[/tex]
Simplify the fraction. Both the numerator and the denominator are multiples of 3, so divide top and bottom by 3 to the lowest possible integer:
[tex]\frac{16}{5}[/tex]
Insert into the equation:
[tex]\frac{48}{15}=\frac{16}{5}[/tex]
:Done
You can use different numbers too
simply the equation-2(-3 + 2z)
Simply the equation -2(-3 + 2z)
6 − 4z
One minus the quotient of one and a number x
Answer:
1/x-1
Step-by-step explanation:
How many 1/8 pounds meatballs can Rory make
Plzzz helpppp fast
Answer:
6
Step-by-step explanation:
since he has 2 pounds of ground beef and we are dividing these pounds into 8th's he would have a total of 16/8 meaning 8/8 for each pound of ground beef.
and since he used 5/8 for each of the two huge meat balls that means he used a total of 10/8 in total leaving 6/8.
[tex]16/8 = 8/8 + 8/8\\[/tex]
[tex]5/8 + 5/8 = 10/8\\16/8-10/8=6/8[/tex]
so since he is making 1/8 pound meatballs and he has 6/8 pounds of ground beef left he can make 6 of the 1/8 pound meatballs
PLEASE ANSWER I AM BEGGING!!!!!!Type a simplified fraction as an answer.
answer 5/6 decimal form is 0.83
Answer:
5/6
Step-by-step explanation:
100 ÷ 4 = 25
144 ÷ 4 = 36
Under root of 25 = 5
Under root of 36 = 6
Final Answer = 5/6
Hope this helps!
Sorry for the mistake before I did not see the under root!
solve 3/2 + t = 1/2
t = ___
Answer:
-1
Step-by-step explanation
1/2-3/2 = -1
Answer:
-1
Step-by-step explanation:
3/2+t=1/2
T=1/2-3/2
T=(1-3)/2
=-2/2
-= - 1
Shirley picked out a lite for $3.50 if she gave the family ten-dollar bill what is the fewest number of bills and coins that she could receive as change
Answer:
2 bills and 1 coin
Step-by-step explanation:
Given
[tex]Lite = \$3.50[/tex]
Required
Fewest number of bills and coins she can get receive as change
FIrst, we need to calculate her change
Change = Amount Paid - Lite
[tex]Change = \$10 - \$3.5[/tex]
[tex]Change = \$6.5[/tex]
Next is to split the change to bills and coins
[tex]\$6.5 = \$5\ bill + \$1\ bill + 50 cents[/tex]
The $5 and $1 makes 2 bills while the 50 cents makes 1 coin.
Hence, the minimum she could receive is 2 dollar bills and 1 coin as change
Credit card companies use negative balances to represent when the credit card company owes the customer money and positive balances to represent when the customer owes the credit card company DIDIE. Sneha has a balance of 0 dollars with her credit card company, What does a balance of dollars represent?
Answer: Neither Sneha nor the credit card company owes money.
The chart below shows the points scored by two team members in their last five games.
Cynthia
Grace
Game 1
15
6
Game 2
7
10
Game 3
00
16
Game 4
12
17
Game 5
9
11
What is the median number of points scored by the two players?
11.1
O 11
O 10
10.5
Answer:
10.5
Step-by-step explanation:
Ordering the set of data by ascending order gives us the set {6, 7, 8, 9, 10, 11, 12, 15, 16, 17}. Since there are 10 terms and the median is the middle term, we know that the median will be the average of the 5th and 6th terms, which are 10 and 11. The average of 10 and 11 is (10 + 11) / 2 = 10.5.
What is mAngleMHJ? A. 35° B. 50° C. 72.5° D. 92.5°
Answer:
The answer is B. 50°
Step-by-step explanation:
Got 100% on the test :)
The value of ∠MHJ is 50°. Therefore, option B is the correct answer.
We need to find the value of ∠MHJ.
What are vertically opposite angles?Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines. Vertically opposite angles are equal to each other.
Here, ∠MHJ and ∠KHL are two vertically opposite angles.
So, (x+15)°=(2x-20)°
⇒x=35°
Now, ∠MHJ=(2x-20)°=50°
Therefore, option B is the correct answer.
To learn more about the vertically opposite angles visit:
https://brainly.com/question/68367.
#SPJ6
Fabricio recibe el encargo de preparar 1000 moldes en forma de pirámide hexagonal regular de 10 cm de lado x 30 cm de altura. Además, le han pedido barnizar cada uno de los moldes por dentro y por fuera. Si el galón de barniz rinde para 45 m2, ¿Cuántos galones se requerirán para barnizar los moldes? ¿Cuál será la capacidad en litros de cada molde? a) 2 galones y 1500 litros b) 3 galones y 2200 litros c) 4 galones y 2568 litros d) 5 galones y 2600 litros
Answer:
a) 2 galones y 1500 litros
Step-by-step explanation:
La fórmula para el área de la superficie lateral de una pirámide hexagonal regular =
A = 3a × √ (h² + 3a² / 4)
Donde a = longitud lateral o borde de la base de la pirámide hexagonal = 10 cm
h = altura de la pirámide hexagonal = 30cm.
Resolviendo para 1 molde
A = 3 × 10 × √ (30² + 3 × 10² / 4)
A = 936,7497 cm²
Esto significa que Fabricio tiene que cubrir 936.7497cm² de 1 molde con barniz.
En la pregunta se nos dice que:
1 galón de barniz rinde o cubre 45m²
Por lo tanto, convertimos el área de la superficie de 1 molde a m²
1 cm² = 0,0001m²
936.7497cm² =
936.7497cm² × 0.0001m² / 1 cm²
= 0.09367497m²
Por tanto, si
45m² = 1 galón de barniz
0.09367497m² = x galón
x galón = 0.09367497m² / 45 m²
= 0.002081666 galones
Esto significa que 0,002081666 galones barnizarán 1 molde.
Recuerda, en la pregunta, nos dicen que Fabricio está barnizando 1000 moldes
Si. 1 molde = 0.002081666 galón de barniz
1000 moldes
1000 × 0,002081666
= 2.081666 galones de barniz
Aproximadamente = 2 galones de barniz.
De ahí la capacidad en litros de cada molde = 1500 litros.
A movie theater charges $8.25 per ticket. Which expression models the cost of buying t tickets? A) 8.25t B) 8.25+t C)8.25-t D)8.25/t
Answer: a. 8.25t
Step-by-step explanation:
From the question, we are informed that a movie theater charges $8.25 per ticket. The expression that models the cost of buying t tickets is gotten when we multiply $8.25 by t. This will be:
= 8.25 × t
= 8.25t
Therefore, expression that models the cost of buying t tickets is 8.25t. The correct answer is option A.
1/3(9x+3)=3x+1 what does x equal
Step-by-step explanation:
1/3(9x+3)=3x+1 multiply inside the parenthesis with 1/3
(9x+3)/3 = 3x + 1 multiply both sides of the equation by 3
9x + 3 = 9x + 3 add like terms
0 = 0 which means there are infinitely many solutions for this equation therefore infinitely many values for x
Answer:
x is any number
infinite solutions
Step-by-step explanation:
1/3(9x+3)=3x+1
Distribute
3x+1 = 3x+1
Subtract 3x from each side
1=1
Since this is always true, x can be any value
Please please help and show steps
Answer: h=3v/pir^2 +1
Step-by-step explanation:
sorry i can't use the pi symbol so i'll be referring to pi as pi
^2 is squared
1/3pir^2(h-1) =v
simplify 1/3pir^2
pi/3r^2(h-1)=v
multiply both sides by 3 and simplify
3*pi/3r^2(h-1)=3v <-- simplify = pir^2(h-1)=3v
divide both sides by pir^2
pir^2(h-1)/ pir^2 = 3v/ pir^2
simplify
h-1 = 3v/pir^2
add 1 to both sides
h-1 +1 = 3v/pir^2+1
answer/ simplify:
h=3v/pir^2 +1
Clare made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If Clare doesn't touch the money in her account, she can find the amount she'll have the next year by multiplying her current amount by 1.03. How much will she have in 30 years
Answer:
$388.36Step-by-step explanation:
let us assume that the amount in her accounts compounds annually
Given data
principal p= $160
interest rate r= 3%= 0.03
time t= 30 years
At the end of 30 years the money she will will have can be expressed as
A= P(1+r)^t
A= 160(1+0.03)^30
A= 160(1.03)^30
A= 160*2.42726
A= $388.36
in 30 years she will have $388.36
Use the figure to find the Slant Height. 4 5 √(11)
Answer:
[tex]height = 4[/tex]
Step-by-step explanation:
By the Pythagorean Theorem, we know:
[tex]a^2 + b^2 = c^2[/tex]
Where [tex]c[/tex] is the slope.
Here we see the following:
[tex]a = 3\\b = ???\\c = 5[/tex]
Plug in the numbers:
[tex]3^2 + b^2 = 5^2\\9 + b^2 = 25\\b^2 = 16\\b = \sqrt{16}\\ b = 4[/tex]
If E is the midpoint of segment AB and AB = 30, what is AE?
Answer:
15
Step-by-step explanation:
its in the center so u devide it by 2
Answer:
AE = 15
Step-by-step explanation:
AB = 30
E is the midpoint of AB
AE + EB = AB
AE = EB
2AE = AB
2AE = 30
Divide by 2
AE = 15
Evaluate: negative -20 divided by -10 pleas help
Answer:
2
Step-by-step explanation:
-20 divied by -10 is two
2 negavties make a positive
Answer:
2
Step-by-step explanation:
When both numbers are negative it canals out so the answer is positive.
Simplify to create an equivalent expression.
8- 4(-x+ 5)
Answer:
8 - 4(-x + 5) = 4x - 12Step-by-step explanation:
8 - 4(-x + 5) =
= 8 - 4•(-x) + (-4)•5 =
= 8 + 4x - 20 =
= 4x - 12
Asim used 324 ft? of carpet for his living room floor. The living room floor
is in the shape of a square. What is the length of Asim's living room?
A9 ft
B18 ft
C36 ft
D 81 ft
Answer:
Hey there!
Area of a square: Length(Length)
324=Length^2
Length=18 ft.
Let me know if this helps :)
Answer:
D. 81ft
Step-by-step explanation:
Area covered by the carpet = 324ft
Room being a square , has 4 equal sides = [tex]\frac{324}{4}[/tex] ft = 81 ft
The length of Asim's living room is 81 ft
Solve the factorial
5!/3!
Answer:
20
Step-by-step explanation:
(5x4x3x2x1)÷(3x2x1)=
120÷6=
20
ALGEBRA 2 100 POINTS STEP BY STEP EXPLANATION PLEASE!
solve the equation for b
= √4^2 + 4^2
Answer:
[tex]b=20[/tex]
Step-by-step explanation:
So we have the equation:
[tex]b=(\sqrt{4})^2+4^2[/tex]
The square root and the square cancels out for the first term.
And 4 squared is 16.
So:
[tex]b=4+16[/tex]
Add:
[tex]b=20[/tex]
Answer: 20
Solution Steps
Immersive Reader
sqrt4^2+42
Calculate 4 to the power of 2 and get 16.
sqrt16+4^2≈20
Calculate the square root of 16 and get 4.
4+4^2≈20
Calculate 4 to the power of 2 and get 16.
4+16=20
Add 4 and 16 to get 20.
20
What is the value of the expression 10 · 2 + 9 + 3 . 42 ?
Answer:
32.42Step-by-step explanation:
[tex]10\times\:2+9+3.42\\\\\mathrm{Multiply\:the\:numbers:}\:10\times\:2=20\\=20+9+3.42\\\\\mathrm{Add\:the\:numbers:}\:20+9+3.42\\=32.42[/tex]
Answer:
32.42
Step-by-step explanation:
10 . 2 + 9 + 3 . 42
10×2 = 20
20 + 9 + 3.42
20 + 9 + 126 = 32.42
(4x2 + 7x - 4) + (x2 – 7x + 14)
What is the answer?
Answer:
[tex]5x^2 + 10[/tex]
Step-by-step explanation:
[tex]4x^2 + x^2 = 5x^2\\7x + (-7x = 0\\-4 + 14 = 10[/tex]
Explain why the sum of a rational number and an irrational number is always irrational.
Answer:
Irrational numbers are contradictory, even when combined with a rational number.
Step-by-step explanation:
Since the assumption that the sum of a rational and irrational number is rational leads to a contradiction, the sum must be irrational.
If m = 8, how many solutions are there to the expression 7m?
Sarah has 273 feet of wire to make bead necklaces. If each necklace requires 1 2/3 feet of wire, how many necklaces can she make?
Oh boy, here we go again
First we must convert 1 2/3 to an improper fraction. By doing this, we get 5/3 (3/3 + 2/3)
So now we have 273 / 5/3
To divide this easier we can do something that when I learned it was called (keep, change, flip) which basically means keep the first fraction, change the sign from division to multiplication, and flip the second fraction
This now turns into: 273/1 * 3/5
Combine 273 and 3/5
273⋅3/5
Multiply 273
by 3
819/5
is your answer
La función y = 20000 + 1500x relaciona el valor total a pagar por un servicio de fletes y la distancia recorrida, en kilómetros, dentro de la ciudad. En este contexto, interpreta a qué corresponde: a. ¿Cuánto debe pagar por una distancia de 20 km? b. ¿Cuánto fue la distancia recorrida si pago un flete de $ 140.000?
Answer:
Los resultados están debajo.
Step-by-step explanation:
Dada la siguiente información:
y = 20.000 + 1.500x
Siendo:
y= costo total
x= kilometros recorridos
Entonces, si recorrio 20km:
y= 20.000 + 1.500*20
y= $50.000
Ahora, si pago $140.000, cuantos km recorrio:
140.000= 20.000 + 1.500*x
120.000/1.500= x
x= 80km