Asia is a chef in a restaurant. To prepare for dinner service, she chops 7 1/2 onions in 1/6 of an hour. Asia's rate of chopping onions is 30 onions per hour.
From the information given;
Asia chops [tex]\mathbf{7 \dfrac{1}{2} \ onions }[/tex] in [tex]\mathbf{\dfrac{1}{6} \ hours}[/tex]So, the onion is given in mixed fraction which can be converted to an improper fraction as: [tex]\mathbf{\dfrac{15}{2}\ onions}[/tex]
Now,
if Asia chops [tex]\mathbf{\dfrac{15}{2}\ onions}[/tex] in [tex]\mathbf{\dfrac{1}{6} \ hours}[/tex] Then Asia will chop (x) onions in 1 hour.We can cross multiply the above two equations to determine the number of onions Asia will chop per hour as follows:
[tex]\mathbf{(x) \times \dfrac{1}{6} \ hours = \dfrac{15}{2} \ onions \times 1 \ hour}}[/tex]
Making (x) the subject of the formula:
[tex]\mathbf{(x)=\dfrac{ \dfrac{15}{2} \ onions \times 1 \ hour}{ \dfrac{1}{6} \ hours }}}[/tex]
[tex]\mathbf{(x)={ \dfrac{15}{2} \ onions } \times { \dfrac{6}{1} }}}[/tex]
(x) = 15 onions × 3
(x) = 30 onions per hour.
Therefore, Asia's rate of chopping onion is 30 onions per hour.
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If Asia chops 7 1/2 onions in 1/6 hour, therefore, using proportion, the rate of chopping onions per hour is: 45 onions per hour.
Applying the knowledge of proportion and fractions, we can determine Asia's chopping rate of onions per hour.
Given:
Number of onions chopped in 16 hour = 7 1/2 onionsLet number of onions chopped in 1 hour be xUsing proportion, we have the following:
[tex]7\frac{1}{2} = \frac{1}{6} \\\\x = 1[/tex]
Cross multiply[tex]\frac{1}{6} \times x = 7\frac{1}{2} \times 1\\\\\frac{x}{6} = \frac{15}{2}[/tex]
Multiply both sides by 6[tex]\frac{x}{6} = \frac{15}{2}\\\\x = \frac{15}{2} \times 6\\\\x = 45[/tex]
Therefore, if Asia chops 7 1/2 onions in 1/6 hour, therefore, using proportion, the rate of chopping onions per hour is: 45 onions per hour.
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el número de llegadas al servicio de urgencias de un hospital es de 2 cada 15 min. Si se supone que
el numero de llegadas se distribuye en un modelo de Poisson, se pretende calcular la probabilidad
de que en los próximos 15 min se produzcan 4 llegadas.
Ayuda por favor, es urgente.
Answer:
Uh I don’t speak u language
Step-by-step explanation: Sorry :/
Which point on the y-axis lies on the line that passes
through point G and is parallel to line DF?
O (-2, 0)
0 (0,-2)
0 (0,4)
O (4,0)
Answer:
Step-by-step explanation:
y = mx + b , "m" is a slope and "b" is y-intercept (0, b)
~~~~~~~~~~
G(- 4, - 4)
Slope [tex]m_{DF}[/tex] = 2
y + 4 = 2(x + 4)
y = 2x + 4 ⇒ (0, 4)
At the candy store, Sophie filled a bag with 2\dfrac232 3 2 2, start fraction, 2, divided by, 3, end fraction kilograms of candy. \dfrac14 4 1 start fraction, 1, divided by, 4, end fraction of the weight of the candy was from chocolate covered pretzels.
Answer:
[tex]Chocolate\ Weight = \frac{2}{3}kg[/tex]
Step-by-step explanation:
Given
[tex]Candies =2\frac{2}{3}\ kg[/tex]
[tex]Chocolate = \frac{1}{4}[/tex] of the candies
Required
Determine the weight of the chocolate pretzels ---- This completes your question
To determine the weight, we simply multiply the fraction of chocolates by the total weight of the candies.
i.e.
[tex]Chocolate\ Weight = \frac{1}{4} * 2\frac{2}{3}[/tex]
Convert Fraction
[tex]Chocolate\ Weight = \frac{1}{4} * \frac{8}{3}[/tex]
[tex]Chocolate\ Weight = \frac{1 * 8}{4 * 3}[/tex]
[tex]Chocolate\ Weight = \frac{8}{12}[/tex]
Simplify
[tex]Chocolate\ Weight = \frac{2}{3}kg[/tex]
What is the standard deviation of this data? Round your answer to the nearest hundredth of a number?
10, 12, 8, 2
Answer:
3.74
Step-by-step explanation:
Count, N: 4
Sum, Σx: 32
Mean, μ: 8
Variance, σ2: 14
Hope this helped!
F(-3,2)G(-3-1)H(-1,-1)I(0,1) rotation by 270 degrees about the origin
Answer:33
Step-by-step explanation:
Answer to this please?
Answer:
D) 117
Step-by-step explanation:
All angles of a triangle will always add up to 180 degrees. Thus, 22 + 41 = 63, 180 - 63 = 117.
Mary made a 48.5% on her math test. Which of the following shows a fraction and a decimal equivalent to 48.5%? 485 A and 0.485 10.000 485 B and 48.5 100 485 С and 4.85 100 485 D and 0.485 1.000
please show me the work I need it right know☹️
B.
you can eliminate A and D because grades are distributed by 100. and c only has 4.85 when the question says she made a 48.5
Find the values of x and y.
(10x – 4)º
16yº
(18y – 18)°
6(x + 2)°
Answer:
The value of x is 4 and the value of y is 9
Step-by-step explanation:
In the attached pictures we can see that two lines are intersecting with each other and four angles are form. The angles opposite to each other are also called vertical angles.
The opposite pairs of angles are:
(10x-4)° and 6(x+2)°
(18y-18)° and 16y°
When two lines intersect each other, the vertical angles formed are congruent(Can also be called equal in measurement)
So,
[tex]10x-4=6(x+2)\\10x-4 = 6x+12[/tex]
Subtracting 6x from both sides
[tex]10x-4-6x = 6x+12-6x\\4x-4 = 12[/tex]
Adding 4 on both sides
[tex]4x-4+4 = 12+4\\4x = 16[/tex]
Dividing both sides by 4
[tex]\frac{4x}{4} = \frac{16}{4}\\x = 4[/tex]
AND
[tex]18y-18=16y[/tex]
Adding 18 on both sides
[tex]18y-18+18 = 16y+18\\18y = 16y+18[/tex]
Subtracting 16y from both sides
[tex]18y-16y = 16y+18-16y\\2y = 18[/tex]
Dividing both sides by 2
[tex]\frac{2y}{2} = \frac{18}{2}\\y = 9[/tex]
Hence,
The value of x is 4 and the value of y is 9
Using the periodic table, choose the more reactive nonmetal.
Si or S
Answer:
S
Step-by-step explanation:
S is closer to the top right of the table, which is a generally good rule for determining reactivity of NONMETALS. METAL reactivity increases to the bottom left.
please help:) please help:)
Answer:
Your answer is A) =
Step-by-step explanation:
100 - 2(20)
100 - 40 = 60
3(20) = 60
if a football is thrown upward, its height above the
ground is given by the equation s=-16t^2+Vot+so, where
Vo and so are the initial velocity and intial height of the
Football, respectively, and t is the time in seconds.suppose
the football is thrown from the top of a building that is
192 feet tall, with an initiae speed of 96 feet per second.
a)write the polynomial that gives the height of the Football in terms
of the variable t (time)
b) what is the height of the Football after 2 seconds have
Clapsed? Will the football hit the ground after 2 seconds?
Answer:
a) s = -16[tex]t^{2}[/tex] + 192t + 96
b) Height of the football after 2 seconds is 448 feet.
ii. The football would not hit the ground after 2 seconds.
Step-by-step explanation:
Given:
s = -16[tex]t^{2}[/tex] + [tex]V_{o}[/tex]t + [tex]s_{o}[/tex]
where: s is the height of the football above the ground, t is the time, [tex]V_{o}[/tex] is the initial velocity and [tex]s_{o}[/tex] is the initial height.
The height of the building = [tex]V_{o}[/tex] = 192 feet and the initial speed of the ball = [tex]s_{o}[/tex] = 96 feet per second, then;
s = -16[tex]t^{2}[/tex] + 192t + 96
a) The polynomial is given as:
s = -16[tex]t^{2}[/tex] + 192t + 96
b) The height of the football when t = 2 seconds is;
s = -16(2) + 192(2) + 96
= -32 + 384 + 96
= -32 + 480
s = 448
The height of the football when t = 2 seconds is 448 feet.
ii. The football would not hit the ground after 2 seconds.
HELP! will give brainliest!!! The United States released 5.877 billion metric tons of carbon
dioxide into the environment through the burning of fossil fuels in a recent year. If
1 trillion pounds = 0.4536 billion metric tons, how many trillion pounds of carbon
dioxide did the United States release in that year?
Answer:
13.0 trillion pounds of carbon dioxide
Step-by-step explanation:
5.877 ÷ 0.4536 = 12.9563492063
rounded to 1 decimal place =
13.0 trillion pounds of carbon dioxide
The carbon dioxide released by United States is 12.9563 trillion pounds
What is conversion?In math, conversion is the process of changing the value of one form to another for example inches to millimeters, or liters to gallons.
Now it is given that,
Amount of carbon dioxide released by United States = 5.877 billion metric tons
It is also given that,
1 trillion pounds = 0.4536 billion metric tons
So, 1 billion metric tons = (1/0.4536) trillion pounds
Thus, 5.877 billion metric tons = (5.877/0.4536) trillion pounds
⇒ 5.877 billion metric tons = 12.9563 trillion pounds
Thus, the carbon dioxide released by United States is 12.9563 trillion pounds
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Given point (8,0) and slope 2/3, fill in the blanks to put in point slope form. y-____=____(x-___) *
Answer:
3y = 2(x -8)
Step-by-step explanation:
this is the sol I could provide
The correct answer is y-0=2/3•(x-8).
Use the given slope and point to substitute into the point-slope formula y−y1=m(x−x1).
Find the Slope.
(2, 8) and (4, -3)
-4x 3 y 2(7xy 4) i need help
Answer:
−672x2y2
Step-by-step explanation:
The answer is:
-28x^4y^6
please help .thanks
Answer:
2 and 1/5 is greater than 2.15
Step-by-step explanation:
This is true because 1/5 is equal to .20 which is greater than .15
Answer:
B, >
Step-by-step explanation:
2 1/5
2*5= 10+1= 11
11/5 vs 2.15
2.2 vs 2.15
2.2 > 2.15
1) The value of y varies directly with x. If x = 3, then y = 13.
Show your work for finding the value of x when y = 39?
Answer:
When y is 39 x is 3.
Step-by-step explanation:
Proportions!
x = 3
y = 13
We need to find our multiplier first. How did 13 turn into 39?
39/13 = 3
13 * 3 = 39
We multiplied by 3!
Now we multiply x by three to keep the propotion, proportional!
x= 3
(3) * 3 = 9
Now we make the proportion
3 : 39
When y is 39 x is 3.
Consider Brainliest! Hope this helped!
Which points (0,6) (7,9) (2,3) go through the line 3x+2y=12
how to simplify this ......
i need somebody help on this test i am Taking
Answer:
ok and thank you for point
Think About the Process The length of a rectangle is twice the width. The area of the rectangle
is 86 square units. Notice that you can divide the rectangle into two squares with equal area. How
can you estimate the side length of each square? Estimate the length and width of the rectangle.
How can you estimate the side length of each square?
OA. Estimate V86.
OB. Estimate V43 .
V 86
OC. Estimate
4.
43
OD. Estimate
4
The rectangle is units long and units wide.
.
(Round to the nearest tenth as needed.)
Answer:
length of each square= [tex]\sqrt{43}[/tex] ≈ 6.6
the length of the rectangle = 2[tex]\sqrt{43}[/tex] ≈ 13.1
width of the rectangle ≈ [tex]\sqrt{43}[/tex] ≈ 6.6
Step-by-step explanation:
5)A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service.
Answer: your Answer is $75 dollars.
Step-by-step explanation:
$25 + $50 = $75
Answer:
[tex]C = 50x + 25[/tex]
Step-by-step explanation:
The $50 charge can be interpreted as the slope, as it varies based on the amount of time the service takes. The $25 can be interpreted as the y-intercept, as you'll get charged $25 no matter how long the service takes. Thus, we can plug these values into the slope-intercept form equation.
[tex]y = mx + b\\C = 50x + 25[/tex]
Solve for x: 4 over 5 x + 4 over 3 = 2x x = Write your answer as a fraction in simplest form. Use the "/" symbol for the fraction bar. (2 points)
Answer:
x = 10/9
Step-by-step explanation:
Solve for x:
(4 x)/5 + 4/3 = 2 x
Put each term in (4 x)/5 + 4/3 over the common denominator 15: (4 x)/5 + 4/3 = (12 x)/15 + 20/15:
(12 x)/15 + 20/15 = 2 x
(12 x)/15 + 20/15 = (12 x + 20)/15:
(12 x + 20)/15 = 2 x
Multiply both sides by 15:
(15 (12 x + 20))/15 = 15×2 x
(15 (12 x + 20))/15 = 15/15×(12 x + 20) = 12 x + 20:
12 x + 20 = 15×2 x
15×2 = 30:
12 x + 20 = 30 x
Subtract 30 x from both sides:
(12 x - 30 x) + 20 = 30 x - 30 x
12 x - 30 x = -18 x:
-18 x + 20 = 30 x - 30 x
30 x - 30 x = 0:
20 - 18 x = 0
Subtract 20 from both sides:
(20 - 20) - 18 x = -20
20 - 20 = 0:
-18 x = -20
Divide both sides of -18 x = -20 by -18:
(-18 x)/(-18) = (-20)/(-18)
(-18)/(-18) = 1:
x = (-20)/(-18)
The gcd of 20 and -18 is 2, so (-20)/(-18) = (-(2×10))/(2 (-9)) = 2/2×(-10)/(-9) = (-10)/(-9):
x = (-10)/(-9)
Multiply numerator and denominator of (-10)/(-9) by -1:
Answer: x = 10/9
What are the solutions of this graph? *
Which choice shows the correct solution to 2528 ÷ 8?
Answer:
B.
Step-by-step explanation:
Hope it helps!
HELP!!!!!!!!!!!!!!!!!!!!!
Answer:
56 riders
Step-by-step explanation:
With the proportion given, cross multiply, then divide:
70 × 80 = 56005600 ÷ 100 = 56So, the answer is 56 ridersI hope this helps!
[tex] \:\:\:\:\:\frac{70}{100} = \frac{x}{80} \\ \\ = > \frac{7 \cancel0}{10 \cancel0} = \frac{x}{80} \\ \\ = > x = \frac{7 \times 80}{10} \\ \\ = > x = \frac{7 \times 8 \cancel0}{1 \cancel0} \\ \\ = > x = \green{\boxed{56 \: rides}}[/tex]
What do the following two equations represent?
• Y = -3x -1
• y +5 = -3(x-2)
Answer:
Step-by-step explanation:
If you look this up on google there's an answer key!!! If you look this up it will be the 4th link!
3X +17+ 5X equals 7X +10
Answer:
I think the answer is x= -7.
A function is defined by f(x)= x/4. What is f(-8)?
- 2
- -1/2
- 1/2
- 2
Answer:
need this as quick as possible pls
Step-by-step explanation:
Answer:
[tex]f(-8)=-2[/tex]
Step-by-step explanation:
We have the function:
[tex]f(x)=\frac{x}{4}[/tex]
And we want to find f(-8).
So, simply substitute -8 for x. This yields:
[tex]f(-8)=\frac{-8}{2}[/tex]
Divide:
[tex]f(-8)=-2[/tex]
Hence, our answer is -2.
si en una caja hay 5 pelotas una verde una amarilla.una azul.una negra y una roja ya a salido la rija y la verde cual es la posibilidad de sacar la azul en una cuarta vez
Answer:
uno a tres
Step-by-step explanation:
Creo que es correcto
Avísame si estoy equivocado
Y que tengas un feliz día de acción de gracias