The staff takes 1/2 of an hour to assemble 1/8 of the booths. How long does it take the staff to assemble all of the booths?
Answer:
It takes all staff 3 hours
Step-by-step explanation:
So, first we write down all these important info. It takes half hour for staff to assemble one sixth (1/6) of the booths. First you need to take the fraction 1/6 a whole number by multiplying it by the denominator which in this case is 6 which will give you the answer 1. Next, you do the exact same thing for the other part. Multiply 1/2 by 6 to get 3.
The time to assemble the remaining fraction of the bottle is 3.5 hours.
Time to assemble one-eight of the bottles
The time taken for the staff to assemble one - eight (1/8) of the bottles is given as half (1/2) hour.
Remaining fractionThe remaining fraction of the bottle is calculated as follows;
[tex]= 1 - \frac{1}{8} \\\\= \frac{7}{8}[/tex]
Time to assemble the remaining fraction of the bottlesThe time to assemble the remaining fraction of the bottle is calculated as follows;
1/8 ----------------- 1/2 hour
7/8 ---------------- ?
[tex]\frac{7}{8} \times \frac{1}{2} \times \frac{8}{1} = 3.5 \ hours[/tex]
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Solve the system of linear equations by elimination. 10x-9y=46 and -2x+3y=10
Answer:
y=16 and x=19
Step-by-step explanation:
Let's solve your system by elimination.
−2x+3y=10;10x−9y=46
Multiply the first equation by 5,and multiply the second equation by 1.
5(−2x+3y=10)
1(10x−9y=46)
Becomes:
−10x+15y=50
10x−9y=46
Add these equations to eliminate x:
6y=96
Then solve6y=96for y:
6y=96
6y
6
=
96
6
(Divide both sides by 6)
y=16
Write down an original equation:
−2x+3y=10
Substitute16foryin−2x+3y=10:
−2x+(3)(16)=10
−2x+48=10(Simplify both sides of the equation)
−2x+48+−48=10+−48(Add -48 to both sides)
−2x=−38
−2x
−2
=
−38
−2
(Divide both sides by -2)
x=19
Answer:
x=19 and y=16
The value of x and y on solving a system of linear equations 10x - 9y = 46 and -2x + 3y = 10 by elimination are 19 and 16 respectively.
What is equation?A formula known as an equation uses the equals sign to denote the equality of two expressions.
Given equations:
10x - 9y = 46 (1)
-2x + 3y = 10 (2)
Multiply equation 2 by 3
3 (-2x + 3y) = 10 × 3
-6x + 9y = 30 (3)
Add equation 3 and equation 1
10x - 9y + (-6x) + 9y = 46 + 30
4x = 76
x = 76 / 4 = 19
Put x = 19 in equation 2
-2 × 19 + 3y = 10
3y = 10 + 38
y = 48 / 3
y = 16
Therefore, the value of x and y on solving a system of linear equations 10x - 9y = 46 and -2x + 3y = 10 by elimination are 19 and 16 respectively.
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Use the linear combination method to solve this system of equations. What is the value of x? 3 x + 7 y = 31. Minus 3 x minus 2 y = negative 1 Negative 6 Negative 3 and two-thirds 3 and two-thirds 6
Answer:
x = -3 2/3
Step-by-step explanation:
Given the simultaneous equations;
3 x + 7 y = 31 ..... 1
-3x - 2y = -1 ..... 2
Add both expressions
7y - 2y = 31-1
5y = 30
y = 30/5
y = 6
Substitute y = 6 into equation 2
From 2;
-3x - 2y = -1
-3x - 2(6) = -1
-3x - 12 = -1
-3x = -1 + 12
-3x = 11
x = -11/3
x = -3 2/3
Hence the value of x is -3 2/3
Answer:
x = -3 2/3
Step-by-step explanation:
point E is located at (-1,-6) on the coordinate plane. Point E is reflected over the y-axis to create point E' . Point E' is then reflected over the x-axis to create point E'' . What ordered pair describes the location E''?
Which inequality is true
Answer:
number 2 I'm pretty sure but wait for another answer jsut to double check
Answer:
I think the 2nd one, -2¾ < -1½, as for -1½ is bigger than -2¾.
HELP PLEASE!! SOLVE FOR "X"
Answer:
[tex]x=\frac{c^2y^2}{4}[/tex]
Step-by-step explanation:
[tex]\frac{2\sqrt{x}}{c}=y\\\\2\sqrt{x}=cy\\\\\sqrt{x}=\frac{cy}{2}\\\\x=\frac{c^2y^2}{2^2}\\\\x=\frac{cy}{4}[/tex]
Answer:
c²y²
x = ----------
4
Step-by-step explanation:
Let's isolate √x: Multiply both sides of this equation by c/2. We get:
c*y
√x = ---------
2
To find an expression for x, square both sides of this result:
cy
x = {------ }²
2
This is equivalent to:
c²y²
x = ----------
4
Adrián compró una bicicleta cuyo precio original es de 400.00 pesos pero al pagar en la caja le hicieron 20% de descuento cuánto pagó al niño para la bicicleta
Answer:
320 pesos
Step-by-step explanation:
Un 20% de descuento en formato decimal es 0.20. La totalidad de la bicicleta es representada como 100% o 1 y nosotros queremos saber el precio despues del descuento que seria
100% - 20% = 80% o 0.80
Ahora simplemente multiplicamos este decimal por el valor original de la bicicleta para saber el precio descontado...
400 * 0.80 = 320 pesos
Write an equation to represent the given scenario.
Alicia went to buy a new car at the car dealership. She paid
$2.500 for her down payment and she will pay $256 per
month The car cost a total of $17,860. Write an equation to
represent this scenario.
Answer:
256x +2.500=17860
Step-by-step explanation:
So she has to pay 256 per month which means every month.So that is our reapeted fee.Because it is reapeting every month.2.500 is the fee that you have to give for down time payement but only once .So that is our One Time Fee.And 17860 is our total.Always remember that the vairable goes with the reapted fee.and our equation is reapted fee times vairaible addes to one time fee is equal to total.
10y + x = -100
can someone help me get Y by it self
Step-by-step explanation:
10y+x=-100
10y= -100 - x
y= -100 - x/ 10
y= -10 - x/10
Write an equation using x and y to represent the hanger?
Answer:
x + 3y = 4x + y
Step-by-step explanation:
it looks like both sides weight the same, also each triangle represents an x and each square represents a y
Barbara has b bags of rice that each contain 4 pounds of rice. She has another bag that has 3 pounds of rice. Write an algebraic expression that shows how many pounds of rice Barbara has.
Answer:
Emani call me after before we go back to school i got 100 on it
Step-by-step explanation:
UMMMM I NEED MORE HELP PLZ
Answer:
Step-by-step explanation:
3/5(-60)(-2/3)=24
choice C
Nolan has 4 times as many pens as Fiona, and Fiona has 6 times as many pencils as Nolan. If Nolan has a total of 23 pens and pencils, and so does Fiona, which of these is a number of pens or a number of pencils that either Nolan or Fiona has?
Nolan has 20 pens and 3 pencils, while Fiona has 5 pens and 18 pencils.
Amount determinationGiven that Nolan has 4 times as many pens as Fiona, and Fiona has 6 times as many pencils as Nolan, to determine, if Nolan has a total of 23 pens and pencils, and so does Fiona, the number of pens and pencils that either Nolan or Fiona has, the following calculation must be performed:
Pen = APencil = BN = 14A + 9B = 23 /// F = 3.5 + 19.5N = 12A + 11B = 23 /// F = 3A + 20BN = 20 A + 3 B = 23 /// F = 5 A + 18 B20 / 4 = 518 / 6 = 3Therefore, Nolan has 20 pens and 3 pencils, while Fiona has 5 pens and 18 pencils.
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A novel has 13 times as many pages as a short story. The combined number of pages in the books is 448 pages. How many pages are in each book?
Find the solution set of the inequality
Can you help please?
12-6x > 24
Answer:
x < -2
Step-by-step explanation:
Hey there!
The answer to your question is [tex]x < -2[/tex]
Tip: Remember to flip the inequality signs when you multiply/divide by a negative number!
[tex]12 - 6x > 24[/tex]
[tex]-6x > 12[/tex] (Subtract 12 from both sides)
[tex]x < -2[/tex] (Divide both sides by -6)
Hope it helps and have a great day!
Is this equation proportional? why?
y = 3x + 2x
Answer:
5x
Step-by-step explanation:
 tell me how to answer this please I WILL MARK BRAINLIEST
Answer:
It equals 3
Step-by-step explanation:
To solve this it is basically like a normal problem you would just take out the X in it and divide 7 by 21 which leaves you with 3.
16
17
25
31
25
31
Age of First - Time Fathers
19 20 21 21
26 27 27 28
33
34 35
36
19
26
32
22
29
37
23
29
38
24
30
39
Answer:
whats this supposed to be?
Step-by-step explanation:
the teach writes 10/12 on the bored. Write this fraction in simplest form.
Answer:
the simplest form is 5/6
Step-by-step explanation:
I hope this helps!
A child's ladder is made of 333 sections. Each section is \dfrac{3}{4} 4 3 start fraction, 3, divided by, 4, end fraction meters long. How long is the ladder when all 333 sections are extended to make one ladder? meters
Answer:
[tex]Ladder = 2\frac{1}{4}\ m[/tex]
Step-by-step explanation:
Given
[tex]Sections = 3[/tex]
[tex]Length = \frac{3}{4}m[/tex] per section
Required
Determine the length of the ladder
The length of the ladder is calculated by multiplying the number of sections by the length of each section.
So, we have:
[tex]Ladder = 3 * \frac{3}{4}\ m[/tex]
[tex]Ladder = \frac{9}{4}\ m[/tex]
[tex]Ladder = 2\frac{1}{4}\ m[/tex]
Hence, the length of the ladder is: [tex]2\frac{1}{4}\ m[/tex] or 2.25m
You might need:
Calculator
The lifespans of lizards in a particular zoo are normally distributed. The average lizard lives 3.1 years, the
standard deviation is 0.6 years.
Use the empirical rule (68 - 95 - 99.7%) to estimate the probability of a lizard living between 2.5 and
4.3 years.
1%
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Report a problem
Plz HELP!!!
Answer:
Is there a picture of it so I can solve
HELP PLEASEEE!!!!!!!
Answer:
1/3^3 *1/3^2
1/27 *1/9
1/243
Answer: 1/243
Step-by-step explanation:
first, i calculate it.
3^-5
then, i expressed it with a positive exponent.
1/3^5
finally, i simplified it.
1/243
what is 1+1 please help
My guys pls help new you got me right I’m giving brainliest:)
Answer:
21 ft
Step-by-step explanation:
Suzie ran a race. She ran 5 miles per hour, and the race took t hours to complete. If the race is 60 miles long, which expression represents the total number of miles Suzie will have left to complete the race? *
pLZ ANSWER QUICK !!!
The Answer: 60 ÷ 5 = T
Which equation does the graph below represent?
Answer:
a
Step-by-step explanation:
i think its a
2x^2-2x , how do you graph this ?
Answer:
Step-by-step explanation:
Direction: Opens Up
Vertex:
(
0
,
0
)
Focus:
(
0
,
1
8
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
1
8
Select a few
x
values, and plug them into the equation to find the corresponding
y
values. The
x
values should be selected around the vertex.
Tap for more steps...
x
y
−
2
8
−
1
2
0
0
1
2
2
8
Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex:
(
0
,
0
)
Focus:
(
0
,
1
8
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
1
8
x
y
−
2
8
−
1
2
0
0
1
2
2
8
can you help me with this question please?
need help asap please
I'm not sure how to find x