Answer:
2:1
Step-by-step explanation:
Since there are 4 apples and 2 bananas, the ratio of apples to bananas will be 4:2
This needs to be simplified, since both numbers are divisible by 2:
4:2 will simplify to 2:1
So, in simplest form, the ratio of apples to bananas is 2:1
In this context, this means there are 2 apples for every 1 banana in the fruit bowl.
The ratio of the apples to bananas in the fruit bowl is 2:1.
What is a ratio?A ratio in mathematics shows how many times one number is contained in another. For instance, if a dish of the fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six.
Given that there are 4 apples, 5 oranges, and 2 bananas in a fruit dish. The ratio of apples to bananas will be 4:2 because there are 2 bananas and 4 apples.
This needs to be simplified since both numbers are divisible by 2:
4:2 will simplify to 2:1
Therefore, the ratio of apples to bananas in the fruit bowl is 2:1.
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caterpillar crawls 25 inches in one minute. How many inches does it crawl in 5 minutes?
Answer:
125 inches
Step-by-step explanation:
In one minute caterpillar crawls 25 inches. So in 5 minutes we have 5 times 25 inches is 125 inches.
By equation
Additional: 25 + 25 + 25 + 25 + 25 = 125 (inches)
Mutiplication: 25 * 5 = 125 (inches)
The caterpillar crawls 125 inches in 5 minutes
because it is said that the caterpillar crawls 25 inches in one minute so we can use multiplication 25 x 5 = 125
Natalia paid $38.95 for three medium-sized pizzas and a salad. If Natalia paid $11 for the salad, how much did each pizza cost? Enter your answer in the box.
Answer:
$9.32
Step-by-step explanation:
If she paid $11 for the salad, then the three pizzas cost 38.95 - 11.00 which is 27.95. Divide that by three and you get $9.32 (if you round to the nearest penny)
The perpendicular bisector of the line joining A(-10, 5) and B(-2, -1) intersects
the x-axis at P and the y-axis at Q.
Find the equation of the line PQ.
what is the estimate of 66 square root
Answer:
your answer is 8.124. √66= 8.124
Guys! Help me find how much of this circle is shaded!
Answer:
The answer is 1/10
Step-by-step explanation:
Let us take the Shaded region be x
So,
2/5 + x = 1/2
Now, Solve for x
x + 2/5 = 1/2
5x + 2/5 = 1/2
2(5x + 2) = 5(1)
10x + 4 = 5
10x + 4 – 4 = 5 – 4
10x= 1
10x/10 = 1/10
x = 1/10
Thus, The value of x is 1/10
For Verification;2/5 + x = 1/2
2/5 + 1/10 = 1/2
2 × 2/5 × 2 + 1/10 = 1/2
4/10 + 1/10 = 1/2
4 + 1/10 = 1/2
5/10 = 1/2
1/2 = 1/2
L.H.S = R.H.S
Hence Verified!
-TheUnknownScientist 72
What is 5 1/2 +2 1/7 due in one hour help please
Answer:
7 9/14
Step-by-step explanation:
1/2=7/14
1/7=2/14
7/14+2/14=9/14
5+2=7
Answer:
7.64285714286
Step-by-step explanation:
You may not need all those numbers so your answer may be 7.64 or something near it, but that is the approximate answer.
Solve the following system of equations. 4x + 3y = -5
- 3x + 7y=13
Answer: 13
Step-by-step explanation:
4x+3y=-5 solve x :
4x = -3y + -5 | -3y
1x = -0.75y + -1.25 | : 4
-3x + 7y = 13 solve x :
-3x + 7y = 13 | -7y
-3x = -7y = 13 | : (-3)
Equalization Method Solution: -0.75y+-1.25=2.333y+-4.333
-0, 75y - 1,25 = 2,333y - 4, 333 solve y:
-0, 75y - 1,25 = 2,333y -4, 333 | -2,333y
-3, 083y - 1,25 = -4,333 | + 1, 25
-3. 083y = -3,088 | : (-3, 083)
y = 1
Plug y = 1 into the equation 4x + 3y = -5 :
4x + 3 · 1 | Multiply 3 with 1
4x + 3 = -5 | -3
4x = -8 | : 4
x = -2
So the solution is:
y = 1, x = -2
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if the mean of x,x+3,x-5,2x and 3x then find the value of x
The Value of x is 2/3.
The value of x, we need to determine the mean of the given values and set it equal to the expression for the mean.
The mean (average) is calculated by adding up all the values and dividing by the number of values. In this case, we have five values: x, x+3, x-5, 2x, and 3x.
Mean = (x + x+3 + x-5 + 2x + 3x) / 5
Next, we simplify the expression:
Mean = (5x - 2 + 3x) / 5
Mean = (8x - 2) / 5
We are given that the mean is also equal to x:
Mean = x
Setting these two expressions equal to each other, we have:
(x) = (8x - 2) / 5
To solve for x, we can cross-multiply:
5x = 8x - 2
Bringing all the x terms to one side of the equation and the constant terms to the other side:
5x - 8x = -2
-3x = -2
Dividing both sides by -3:
x = -2 / -3
Simplifying, we get:
x = 2/3
Therefore, the value of x is 2/3.
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-5p = -40 solve for t
Answer:
p = 8
Step-by-step explanation:
Divide -5 to both sides
-5p = -40
5p = 40
p = 8
So p = 8
I have a product I’m selling for 111.55 my gross margin is 3% what is my average cost? Also what is the formula?
The average cost of your item, based on a gross margin of 3%, is $108.20.
What is the average cost?The average cost is the cost per unit.
It can be computed as the quotient of the total cost and the number of units.
What is the gross margin?The gross margin is the percentage difference between the cost of goods sold and the sales revenue.
The gross margin percentage is expressed as a quotient of the sales revenue multiplied by 100.
Selling price = $111.55
Gross margin = 3%
Selling price = 100%
Cost of goods sold = 97% (100 - 3)
Average cost (cost per unit) = Selling Price x Percentage Cost/Selling Price Percentage
$108.20 ($111.55 x 97/100)
Thus, the average cost of the product is $108.20.
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Alvin's age is three times Elga's age. The sum of their ages is 116. What is Elga's age?
years old
Answer:
Let Elga's Age be x and Alvin's age be 3x
x + 3x = 116
4x = 116
x = 116/4
x = 29
Therefore , 3x = 3(29) = 87
Elga's Age - 29
Alvin's Age - 87
an airlane is on heading of 075 degree at 250 km/h wind is blowing from 300 Determine the resultan velocity of the airplane using cartesian vectors and state the ground speed and bearing of the resultant
The airplane's groundspeed is approximately 242.25 km/h, and the resultant bearing is approximately 55.04° (relative to true north, measured clockwise).
How to solve for the airplane's groundspeed
To determine the resultant velocity of the airplane, we need to break down the airplane's velocity and the wind's velocity into their respective components and add them. Let's assume that the angles are measured clockwise from true north.
Let's denote:
Vp = airplane's speed = 250 km/h
θp = airplane's heading = 075 degrees
Vw = wind's speed = 85 km/h
θw = wind's heading = 300 degrees
We can then find the eastward (x) and northward (y) components of the velocities:
For the airplane:
Vpx = Vp * cos(θp) = 250 * cos(75 degrees) = 64.95 km/h
Vpy = Vp * sin(θp) = 250 * sin(75 degrees) = 241.92 km/h
For the wind:
Vwx = Vw * cos(θw) = 85 * cos(300 degrees) = 73.60 km/h
Vwy = Vw * sin(θw) = 85 * sin(300 degrees) = -42.50 km/h
We then sum the x and y components of the two velocities to find the resultant velocity components:
Vrx = Vpx + Vwx = 64.95 km/h + 73.60 km/h = 138.55 km/h
Vry = Vpy + Vwy = 241.92 km/h - 42.50 km/h = 199.42 km/h
The magnitude of the resultant velocity, which represents the groundspeed (Vr), is found using the Pythagorean theorem:
Vr = sqrt((Vrx)^2 + (Vry)^2) = sqrt((138.55)^2 + (199.42)^2) = 242.25 km/h
The bearing (θr) of the resultant velocity (relative to north) can be found using inverse tangent:
θr = atan2(Vry, Vrx) = atan2(199.42, 138.55) = 55.04 degrees
Therefore, the airplane's groundspeed is approximately 242.25 km/h, and the resultant bearing is approximately 55.04° (relative to true north, measured clockwise).
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A group of employees were asked whether they drive or walk to work.
The probability of being a male and derive from a group of employees were asked whether they drive or walk to work is equal to 0.27.
From the table representing the probabilities of a group of employees.
Employees divided into two groups,
One is male .
Second is female.
While going for work there are two ways .
Derive to walk.
Walk to work.
Different probabilities are as follow,
Male and derive 0.27
Male and walk = 0.27
Female and derive = 0.23
Female and walk = 0.23
The required probability of being a male and derive
= 0.27.
Therefore, the probability of derive and male is equal to 0.27.
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Please help I need it
Hey there!
The answer to your question is 313/495
To solve this, let's use the equation x = .6323232...
We want to get ONLY THE REPEATING PART on one side of the decimal, so we can multiply the equation by 101:
100x = 6.323232...
Now, we can take the original equation and subtract it from the new equation:
100x = 63.232...
x = .632...
99x = 62.6
Now, divide both sides by 99.
x = 62.6/99
Simplify the fraction:
x = 313/495
Good luck! Hope it helps, and have a great day!
(a few other questions from my last post-)
Answer:
it is 90 for the first one i dont know the second one
At ShopRite, chicken sells for $3.75 per pound. How much would it cost to buy 2.25 pounds of chicken?
Answer: 8.4375 U.S. dollars2
Step-by-step explanation:
Answer:
$8.44
Step-by-step explanation:
From the question it self we know that 1 pound of chicken costs $3.75. In order to solve this question we just need to find out how much 1 pound does fit into 2.25 pounds and then multiple the result by $3.75. We can find that out by dividing 2.25 by 1, and we get 2.25. Then we do the following....
2.25 x $3.75 = $8.4375
We got $8.4375 as an answer but we have to remember that when we are talking about money and we have to round to the nearest cent (which is equal to 1 hundredth of a dollar). So now we just have to round to the nearest hundredth, and we get $8.44 as our answer.
Please help me with this please
Which of the following equations has exactly one solution?
2x + 3 – 6x=-4x – 3
3x + 12 – 9x = -11x + 12 + 5x
6x +9 - 8x = 2x + 9
7x + 3 – 8= 13x + 5 – 6x
Answer:
I belive I might be c not completely sure but pretty positive
What will be the last number in the following series of numbers?
32, 45, 60, 77, ?
Answer:
96
Step-by-step explanation:
32 + 13 = 45
45 + 15 = 60
60 + 17 = 77
Therefore last number is;
77 + 19 = 96
Answer = 96
Write a rule to represent a function for the set of ordered pairs.
Answer:
y = 4\(x^{2}\)
Step-by-step explanation:
Your inputs (x's): are -1,0,1,2,3,4 if you plug them into the equation, you get the matching outputs given in the order pairs
input -1 (x value)
y = \(4x^{2}\)
y = 4\((-1)^{2}\)
y = 4(1)
y = 4
(-1,4)
input 0 (x)
y = \(4x^{2}\)
y = \(4(0)^{2}\)
y 4(0)
y = 0
(0,0)
input 1 (x)
y = \(4x^{2}\)
y = \(4(1)^{2}\)
y = 4(1)
y = 4
(1,4)
input 2 (x)
y = \(4x^{2}\)
y = \(4(2)^{2}\)
y = 4(4)
y = 16
(2,16)
input 3 (x)
y = \(4x^{2}\)
y = \(4(3)^{2}\)
y = 4(9)
y = 36
(3, 36)
input 4 (x)
y = \(4x^{2}\)
y = \(4(4)^{2}\)
y = 4(16)
y = 64
(4,64)
One day is the amount of time it takes for a planet to make one complete rotation. The number of hours in one day is different for each plane. How many days are equal to 1,100 hours on Saturn? Show your work.
The hours 1,100 hours on Saturn is equivalent to 100 days on Earth and Mars
How to determine the number of days of 1100 hours?From the question, we have the following table of values that can be used in our computation:
Planet Length of one day (hours)
Earth 24
Mars 25
Saturn 11
Also, we have
Number of hours on Saturn = 1100
So, we can represent the table of values as a ratio
Earth : Mars : Saturn = 24 : 25 : 11
Substitute Number of hours on Saturn = 1100 in the ratio
Earth : Mars : 1100 = 24 : 25 : 11
Multiply the ratio by 100
So, we have
Earth : Mars : 1100 = 2400 : 2500 : 1100
This means that
Earth = 2400 hours
Mars = 2500 hours
Divide by 24 and 25
Earth = 100 days
Mars = 100 days
Hence, the number of days on Earth is 100 days
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The number of days that are equal to 1,100 hours on Saturn is given as follows:
100 days.
What is a proportion?A proportion is a fraction of a total amount, which is used along with the basic arithmetic operations such as multiplication and division to find the desired measures in the context of a problem.
The length of one day in Saturn, from the table, is given as follows:
11 hours.
Hence the following rule of three models the situation, considering that we want the number of days for 1,100 hours, hence:
1 day - 11 hours
x days - 1100 hours.
Then the number of days equivalent to 1100 hours on Saturn is obtained applying cross multiplication, as follows:
11x = 1100
x = 1100/11
x = 100 days.
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Mayzie's Masks has a monthly demand of 250 masks. It costs $100 to place an order
and the holding cost is 20% of the cost of a mask, which is $30. What is the total
cost?
Answer:
$951
Step-by-step explanation:
EOQ = Sqroot{(2*Annual Demand*Ordering cost)/Holding cost}
= Sqroot{(2*250*12*100)/(0.2*30)}
= 317 Units Approximately
Total Holding cost = Average Inventory * Holding cost per unit
= (EOQ/2)*Holding cost per unit
= (317/2)*(0.2*30)
= $951
So by knowing the holding cost and the percentage that it represents, we want to find the total cost of the masks. We will find that the cost is $150.
We know that the holding cost is 20% of the cost of a single mask, so if the cost of a mask is C, the holding cost is:
(20%/100%)*C = 0.2*C
And we know that this is equal to $30, so we get:
0.2*C = $30
Now we can solve this for C, the total cost of a mask:
C = $30/0.2 = $150.
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Is {(-3,0), (13,4), (6,3), (13,-4), (22,5)} a function? Please explain if possible
Help my questions in the pic fast
Answer:
K=2
Step-by-step explanation:
Given y=(1/2)^x
y=2^-x
Hope this helps :)
¿Cuantas permutaciones pueden hacerse con la palabra columna?
Answer:
Se pueden hacer 5040 permutaciones con la palabra COLUMNA.
Explanation:
La palabara COLUMNA posee 7 letras, por lo que debemos hacer permutación sin repetición.
La formula es:
P_^{n}: n!
Donde n son todos los elementos.
(b) Solve this problem
9-X= 2
Answer:
X=7
Step-by-step explanation MARK AS BRAINLIEST!!
Help, please
f(n)=3(n+2)^2 (n-3) (n-2)
As n -----> -oo, f(n)----> ?
As n ----->oo, f(n) ----->?
The end behavior of the function f(n) = 3(n + 2)²(n - 3)(n - 2) is given as follows:
As n -> -oo, f(n) -> oo.As n -> oo, f(n) -> +oo.What is the end behavior of a function?The end behavior of a function refers to how the function behaves as the input variable approaches positive or negative infinity.
The function for this problem is given as follows:
f(n) = 3(n + 2)²(n - 3)(n - 2).
Considering the degree, the function can be interpreted as follows:
\(3n^4\)
(for the limit when the input goes to infinity we consider only the term with the highest degree).
The leading coefficient is positive and the exponent is even, hence the end behavior is given as follows:
As n -> -oo, f(n) -> oo.As n -> oo, f(n) -> +oo.More can be learned about the end behavior of a function at brainly.com/question/1365136
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Simplify the expression: 3(x + 3)
Answer:
3x + 9
Step-by-step explanation:
Suppose you start at the origin, move along the x-axis a distance of 2 units in the positive direction, and then move downward a distance of 9 units. What are the coordinates of your position?
The coordinates of our position after moving up and down will be (0, -7)
We are given a coordinate plane and we are standing at the origin of the plane.
That is, our position is (0, 0).
Now, we move 2 units in the positive direction.
So, now our position will be:
(0, 2)
Then, we move downward a distance of 9 units.
So, our position will now become:
(0, 2 - 9)
(0, -7)
Therefore, the coordinates of our position after moving up and down will be (0, -7)
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Question 3(Multiple Choice Worth 1 points)
(05.02 MC)
Solve the system of equations using substitution.
4x + 2y = 6
x = 2y + 4
(1, 1)
(2,-1)
(8,2)
(10,3)
Answer:
(2,-1)
Step-by-step explanation:
We can use substitution to solve this system of equations. Since x is already solved for in the second equation, we can substitute 2y + 4 for x in the first equation:
4(2y + 4) + 2y = 6
Simplifying the left side:
8y + 16 + 2y = 6
Combining like terms:
10y + 16 = 6
Subtracting 16 from both sides:
10y = -10
Dividing both sides by 10:
y = -1
Now that we know y, we can use the second equation to find x:
x = 2y + 4
x = 2(-1) + 4
x = 2
Therefore, the solution to the system of equations is (x, y) = (2, -1).
The correct answer choice is (2, -1).