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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The median of a data set 8, 21, 17, and 13 is 15. If 17 is changed
to 18, what will be the new median? ASAP correct answers only pls help
15 will be the new median.
Brainliest to right answer, dont answer if your not sure...also based on the previous answer are the equations equivalent?
Answer:
D
Step-by-step explanation:
To get from A to B you must divide by x on each side, therefore dividing by the same variable expression
The sum of 2 numbers is 150.One number is 12 more than the other number.What is the smaller number?
Answer: Why did you type on my answer "Thanks for the points".
Step-by-step explanation:
ANSWER ASAP
What is the length of Line segment B C, rounded to the nearest tenth?
13.0 units
28.8 units
31.2 units
33.8 units
Answer:
28.8
Step-by-step explanation:
Answer:28.8
Step-by-step explanation:
Whoever answers correctly earns brainliest.
Savannah drew a map of Texas for her Geography class. According to Savannah’s map scale, one-
half inch on the map represents approximately 77.5 kilometers. If the actual distance from Austin to El
Paso is approximately 930 kilometers, what is the approximate distance
between Austin and El Paso on Savannah’s map?
Answer:
6 inches
Step-by-step explanation:
First, take the 930 kilometers and divide it by 77.5 kilometers. You will get 12. This means the distance between Austin and El Paso is 12 one half inches. That is equivalent to 6 inches.
John uses 1 2 3 cups of milk to make a sauce recipe, and then uses 2 1 4 cups of milk to make a cake recipe. How much milk did he use in total to make the two recipes?
Answer:
3.91
Step-by-step explanation:
It is given that,
John uses [tex]1\dfrac{2}{3}[/tex] cups of milk to make a sauce recipe, and then uses [tex]2\dfrac{1}{4}[/tex] cups of milk to make a cake recipe.
We need to find how much milk did he use in total to make the two recipes. It can be calculated by simply adding [tex]1\dfrac{2}{3}[/tex] cups of milk and [tex]2\dfrac{1}{4}[/tex] cups of milk. So,
[tex]T=1\dfrac{2}{3}+2\dfrac{1}{4}\\\\=\dfrac{5}{3}+\dfrac{9}{4}\\\\=3.91[/tex]
So, she will need 3.91 units of milk to make the two recipes.
Least to greastest .
Answer:
these are fromeast to greatest
9^10
9^5
1^3/4
1^3/20
Answer
Least #3 - #2 - #4 - #1 Greatest
Step-by-step explanation:
the first answer gets brainliest whether it's right or wrong :)
Answer:
1 :)
Step-by-step explanation:
8 x 7=56
7 x 1=7
PLEASE HELP ILL GIVE YOU DA BRAINLIESTTTTT
Answer:
x=2, And i think the 2nd one is reflexive
Step-by-step explanation:
If I deposit $ 800 in a savings account at 6% interest compounded annually, and if I make no withdrawals or deposits for 4 years, how much will I have in my account at the end of 4 years?
Answer:
$992.00
Step-by-step explanation:
Where:
I = P x r x t
P is the principal amount, $800.00.
r is the interest rate, 6% per year, or in decimal form, 6/100=0.06.
t is the time involved, 4....year(s) time periods.
So, t is 4....year time periods.
To find the simple interest, we multiply 800 × 0.06 × 4 to get that:
The interest is: $192.00
Usually, now, the interest is added onto the principal to figure some new amount after 4 year(s),
or 800.00 + 192.00 = 992.00. For example:
If you borrowed the $800.00, you would now owe $992.00
If you loaned someone $800.00, you would now be due $992.00
If owned something, like a $800.00 bond, it would be worth $992.00 now.
110=-8(2x+9)-3 this is urgent HELP
Answer:
∴x=-11.5625
Step-by-step explanation:
110 = -8 (2x+9 ) -3
110 = -16x - 72 -3
185 = -16x
∴x=-11.5625
Help solve this issue with mathematics
Answer:
last one
Step-by-step explanation:
i would say the last one, but im not sure, this one is really hard
Choose a justification for each step in the derivation of the sine difference identity.
Step 1:
Step 2: Distributive property
Step 3: Associative property
Step 4: Factoring out –1
Step 5:
Step 6:
Step 7:
The Sine difference function was derivated with the help of the sine sum function.
What is the sine difference function?The difference function for the sine function states that the sine of the difference of two angles equals the product of the sine of the first angle and cosine of the second angle minus the product of the cosine of the first angle and the sine of the second angle.
As we know that
[tex]Sin(a+b) = SinaCosb + CosaSinb[/tex]..........(1)
If we replace b by -b equation (1) becomes
[tex]Sin(a+(-b)) = SinaCos(-b) + CosaSin(-b)[/tex]
We know that
Cos(-b) =cosb
Sin(-b) =-Sinb
So, [tex]Sin(a-b) = SinaCosb -CosaSinb[/tex]
Therefore, the Sine difference function was derivated with the help of the sine sum function.
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$50. MP3 downloads cost $1.5 each. How many songs can he download
and still have $12
Answer:
25 MP3 downloads
Step-by-step explanation:
If he starts off with $50 then these are the steps
$50 - $1.50 = $48.50 for 1 MP3
$48.50 - $1.50 = $47.00 for 2
$48.50 - $1.50 = $45.50 for 3
then repeat that until we have $12
it doesnt give us exactly $12 but it gives us $12.50 reminder
So he can but 25 MP3 downloads and still have at least $12 remining
Hope this helps plz give me brainliest I worked really hard
3x+3(x+y) please help
Answer:
6x + 3y
Step-by-step explanation:
distribute
3x + 3x + 3y
Combine like terms
6x + 3y
theres ur answer
Please help me before I fail... I really need some help <3 please ;-;
Answer:
the answer is 1.0 if u use sin to solve it, thus, u would get 0.9 of which if u round it u will get the answer above
Answer: and Step-by-step explanation:
sin(61) = x/55
55(sin(61)) = x
48.1 = x
Hope this helps!
i would really really appreciate some help on this... brainliest to whoever can help?..
Answer:
=2 i think srry if i get it wrong
Step-by-step explanation:
Determine the intercepts of the line.
x-intercept:( , )
y-intercept:( , )
Answer:
x-intercept: (-7,0)
y-intercept: (0,2)
Step-by-step explanation:
The x-intercept is (-7,0) because on the graph we can see that the line lies on the x-axis on the point (-7,0).
The y-intercept is (0,2) because we can see that the line pass through the y-axis on the (0,2) point.
Hope this helps you :)
Given that x=8 and y= 12, calculate the value of x3 + y/4
Answer:
72
Step-by-step explanation:
8 times 3 = 24
12 divided by 4 = 3
24 times 3 = 72
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!
What is the value of the 11th term in the sequence -3, -6, -12, -24, ...?
A. -6,144
B. -118,098
C. -3,072
D. -354,294
Answer:
C
Step-by-step explanation:
There is a common ratio r between consecutive terms in the sequence, that is
- 6 ÷ - 3 = - 12 ÷ - 6 = - 24 ÷ - 12 = 2
This indicates the sequence is geometric with n th term
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 3 and r = 2 , thus
a₁₁ = - 3 × [tex]2^{10}[/tex] = - 3 × 1024 = - 3072 → C
Write the following number in
scientific notation.
0.05796
[? ] [ ]
Answer:
= 5.796 × 10^-2
(scientific notation)
= 5.796e-2
(scientific e notation)
Step-by-step explanation:
Answer:5.796 x 10- 2
Step-by-step explanation:Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Find the sum (2x−6)+4(x−3) =
Answer: x=-2
Step-by-step explanation: First we can multiply 4 times anything in the parantheses to get rid of it.
(2x-6)+4(x-3)
(2x-6)+4x-12
Then we combine like terms.
(2x-6)+4x-12
6x-6-12
6x-18
Finally we divide both sides 6.
6x-18
6x/6-18/6
x=-2
The final answer is x=-2
Hope this helps!
Btw this is a backup account
Answer:
6x - 18
Step-by-step explanation:
Distribute: 2x − 6 + 4x − 12
Group Common Factors: 2x + 4x - 6 -12
Solve: 6x - 18
I hope this helped, please mark Brainliest, thank you!
Ian's car can go 140 miles on 4 gallons of gas. During a drive last weekend, he used 5 gallons of gas. How far did he drive? Use pencil and paper. Explain how the problem changes if you were given the distance driven last weekend instead of how much gas he used.
140 miles / 4 gallons = 35 miles per gallon.
35 x 5 = 175 miles
Answer:
The car would be able to drive 175 miles with 5 gallons of gas.
Step-by-step explanation:
Every gallon of gas would give you 35 miles of distance.
To do this you divide 140 by 4 which is 35 that means 1 gallon of gas is 35 miles.
Add a extra gallon gas and also add the amount of distance the gas will give you (35 miles). Add that to 140 miles and then you get 175 miles.
For every 35 miles, I gallon of gas is used.
Hope this helps.
2x+7y =3
x= -4y
x=
y=
Answer:
Y=2
x=7
but they all equal 3
1
2
3
23. Short Answer--- Emily slid down She
the sliding board at the park. A. top
Where did Emily have the most bott
potential energy? B. Where did
Emily have the most kinetic
energy?.
I need help with this plz
Answer:
Most kinetic energy on the top
Justin was asked to write six different equations based on the triangle below.
600
10
Four of the six equations that Justin wrote are correct. Select FOUR equations that are correct.
tan (60) = 73
tan ( 30 ) =
A
B.
c.
cos ( 30") =
D.
sin ( 60 ) = ?
E. F
cos (60) =
sin ( 30 ) = 3
Answer:
ADEF
Step-by-step explanation:
Four of the six equations that Justin wrote are correct which are Trigonometric functions as sin 60° =√3/2, cos 60° = 1/2, tan 60° = √3, and cot 60° = 1 /√3.
What are Trigonometric functions?Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.
Given that ΔABC
∠A = 60° and ∠B = 90° which is given in the figure
⇒ sin 60° = perpendiculer /hypotenuse
⇒ √3/2 = BC/10
⇒ BC = √3/2 × 10
⇒ BC = 5√3
⇒ tan 60° = perpendiculer /base
⇒ √3 = 5√3/AB
⇒ AB = 5√3/√3
⇒ AB = 5
⇒ sin 60° = 5√3/10 = √3/2
⇒ cos 60° = base / hypotenuse
⇒ cos 60° = 5/10 = 1/2
⇒ tan 60° = perpendiculer /base
⇒ tan 60° = 5√3/5 = √3
⇒ cot 60° = 1 /√3
Hence, four of the six equations that Justin wrote are correct which are Trigonometric functions as sin 60° =√3/2, cos 60° = 1/2, tan 60° = √3, and cot 60° = 1 /√3.
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3. It takes 200 lb of sugar cane to produce 5 lb
of refined sugar. How many pounds of sugar
cane does it take to produce 200 lb of refined
sugar?
A. 2,500 lb
B. 7,500 lb
C. 7,700 lb
D. 8,000 lb
8000 pounds is required to produce 200 lb of refined sugar
How to calculate the amount of pounds that is required to produce 200 lb of refined sugar?
It takes 200 lb of sugar cane to produce 5 lb of refined sugar
For 1 lb of sugar cane, the number of refined sugar that will be produced is
200= 5
x= 1
cross multiply
5x= 200
x= 200/5
x= 40
The number of pounds of sugar cane required to produce 200 lb of refined sugar is
= 40 × 200
= 8,000
Hence 8000 pounds of sugar cane is required to produce 200 lb of refined sugars
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Write an expression to represent:
The sum of ten and the quotient of a number 2 and 6.
Answer:
x=10+(2/6)
Step-by-step explanation:
Hope this helped!
Answer:
10 + 2/6
Step-by-step explanation:
A quotient is the answer to a division problem.
A sum refers to addition.
Would appreciate Brainlitest!
Umm I kinda need help pls
Answer:
what help would i do
Step-by-step explanation: