Answer:
x=8
Step-by-step explanation:
-10+4x=22
4x=22+10
4x=32
4x/4=32/4
x=8
easy:
what is the surface area of the rectangular prism?
L times W times H= 3 cm times 2 cm times 4 cm
Answer:
l x w do the the math
Step-by-step explanation:
there
Answer:
u said free poinstt on that persons answer so Hi
Step-by-step explanation:
Help me please , will mark
Michael is trying to determine where to open two new store locations. He has population data to determine the amount of revenue he will receive for each location. He is charged a \( \$ 1000 \) fee for
Michael needs to analyze the population data, demographics of the city, and the competition in the area to determine whether or not to open a new store.
Michael is trying to determine where to open two new store locations. He has population data to determine the amount of revenue he will receive for each location.
He is charged a $1000 fee for opening a new store at a certain location. However, he is unsure whether the population of the city would be large enough to warrant opening a new store at that location.
The first step that Michael needs to take is to analyze the population data that he has.
Based on the population data, he needs to make an informed decision about whether or not to open a new store at that location. This would require him to take into consideration the average income of the population as well as the demographics of the city.
Another important factor that Michael needs to take into consideration is the competition in the area. If there are already several stores in the area, then opening a new store might not be a good idea.
This is because the competition would be too high and he would not be able to generate enough revenue to make up for the cost of opening a new store.
However, if there are no stores in the area, then Michael might consider opening a new store. This would require him to invest a significant amount of money, but he could also generate a significant amount of revenue in return.
Additionally, he needs to take into consideration the cost of opening a new store and whether or not he can generate enough revenue to make up for that cost.
Overall, Michael needs to carefully analyze all the data that he has before making an informed decision about where to open new store locations.
In conclusion, Michael needs to analyze the population data, demographics of the city, and the competition in the area to determine whether or not to open a new store. If the population is large enough and there is no competition in the area, then he should consider opening a new store. However, if there is already a significant amount of competition in the area, then he should avoid opening a new store.
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A lawn sprinkler located at the corner of a yard is set to rotate 50 degrees and project water out 30.0 feet. To the nearest tenth of a foot, what area of the lawn is watered by the sprinkler
Answer:
Area of the lawn is watered by the sprinkler is 392.75 ft²
Step-by-step explanation:
As the lawn sprinkler rotate 50 degrees when it project water out, it makes an arc from the corner where it is located.
The area of the lawn in which the water sprinkles, forms a sector with an angle of 50 degrees and radius of 30.0 feet.
\(Area \ of \ sector = Area \ of \ lawn= \frac{\theta}{360} \pi r^2\\\\ Area \ of \ lawn= \frac{50}{360} \pi (30)^2 = 392.75 \ ft^2\)
Therefore, area of the lawn is watered by the sprinkler is 392.75 ft²
how many moles of calcuim oxide will be produced when 1.60 moles of iron(iii) oxide reacts with calcuim phosphate that yeilds iron(iii) phosphate and calcuim oxide
The reaction will produce 4.8 mol of CaO.
How does a mole work?
The unit of measurement used by chemists known as a mole is very significant. In the same way that having a dozen eggs implies you have twelve eggs, having a mole of anything indicates you have 602,214,076,000,000,000,000,000 of that thing.
When measuring very small objects like atoms, molecules, or other particles, chemists must use moles.
The balanced equation is
Fe₂O₃ + Ca₃(PO₄)₂ ⟶2FePO₄ + 3CaO
You want to convert moles of Fe₂O₃ to moles of CaO.
The molar ratio is 3 mol CaO:1 mol Fe₂O₃.
Moles of CaO = 1.6 mol Fe₂O₃ × (3 mol CaO/1 mol Fe₂O₃)
Moles of CaO = 4.8 mol CaO
The reaction will produce 4.8 mol of CaO.
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The complete question is -
how many moles of calcium oxide will be produced when 1.6 moles of Iron(III)oxide reacts with calcium phosphate according to the following (unbalanced) reaction: ____ Fe2O3 + ____ Ca3(PO4)2 —> Fe(PO4) + CaO
Solve number 1 that is in the image
Answer:
120, 15
Step-by-step explanation:
Answer:
15,120
Step-by-step explanation:
x-axis-15(read vertically)
y-axis-120(read horizontally)
Factor 3(2x²+9x+2)=⅑
no se nada de eso por favor no me preguntes eso y siueme
Which statement about the angle measures is true?
m_BAC + m2 ACB 85
m.BAC MACB 95
95°
m..BACA BC 85
m. BACIMBC 95
B
The diagram shows a circle with center O and radius 42 inches.
A and B are points on the circumference such that arc AB makes an angle of 120°
Calculate the length of the arc AB.
Use 22/7 as an approximation for IT
A 88 inches
B 132 inches
C176 inches
D 264 inches
♡Easy Brainliest♡ Which statement BEST explains why the sine of an acute angle is equal to the cosine of the angle's complement? A Both sinA and cosB are equal to ab. B Both sinA and cosB are equal to ac. C For sinA to equal cosB, a and c must be equal. D For sinA to equal cosB, a and b must be equal.
Answer:
Answer is A
Step-by-step explanation:
Hope it helps
Using the graph of f(x) =×? as a guide, describe the transformation of g(x) = (x + 1)2 - 2 by filling in the blanks below:
SOLUTION
The functions are:
\(f(x)=x^2,g(x)=(x+1)^2-2\)Notice that the function f(x) was translated 1 unit to the right and 2 units downward to ge
what is an equation of the parabola with vertex at the origin and focus (-6 0)
The equation of the parabola with the given vertex and focus is x^2 = 24y.
What is parabola?
A parabola is a U-shaped curve that is symmetric and can either open upward or downward. It is a conic section and is defined as the locus of points equidistant from a fixed point called the focus and a fixed line called the directrix
To find the equation of a parabola with the vertex at the origin (0, 0) and a focus at (-6, 0), we can use the standard form equation for a horizontally-oriented parabola:
(x - h)^2 = 4p(y - k)
where (h, k) represents the vertex coordinates, and p is the distance between the vertex and the focus.
In this case, the vertex is at (0, 0) and the focus is at (-6, 0). The distance between the vertex and focus is given by p = 6 (since the x-coordinate of the focus is 6 units away from the vertex).
Plugging these values into the standard form equation, we have:
(x - 0)^2 = 4(6)(y - 0)
Simplifying further, we get:
x^2 = 24y
Therefore, the equation of the parabola with the given vertex and focus is x^2 = 24y.
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Four friends went out to lunch and the bill came to $54.55 They decided to add enough tip to make a total of
$67.51, so that they could easily split the bill evenly among themselves. What percent tip did they leave?
Round your answer to two decimal places.
The percent tip is
%?
Answer: four friends went out for dinner. the bill , including tax , totaled $64.00 if they want to leave a 15% tip and want to share the bill and tip equally
Step-by-step explanation:
The area of an isosceles triangular land whose base side length 10m is 60 square metre find its remaining sides
Answer:
We can use the formula for the area of a triangle to solve for the height of the isosceles triangle, which will then allow us to find the lengths of the other two sides.
Let h be the height of the isosceles triangle, and let s be the length of each of the two equal sides. Then the area of the triangle is given by:
A = (1/2)bh = (1/2)(10m)(h) = 5h
We also know that the area of the triangle is 60 square meters, so we can set these two expressions equal to each other and solve for h:
5h = 60
h = 12
Now that we know the height of the triangle is 12 meters, we can use the Pythagorean theorem to find the length of each of the other two sides:
s^2 = h^2 + (1/2b)^2
s^2 = 12^2 + (5^2)
s^2 = 169
s = sqrt(169)
s = 13
Therefore, the lengths of the other two sides of the isosceles triangle are both 13 meters.
Aiko works in the fish department of a pet store. She must drain, clean, and refill two reef tanks. the first tank hold 175 gallons of water and drains at a rate of 25 gallons per hour. The second tank holds 200 gallons of water and drains at a rate of 30 gallons per hour.
1. Write an equation for each tank representing the total amount of water in gallons in the tank, y, in terms of the number of hours, x, that the tank drains
2. what is the solution to this system of equations.
3. suppose Aiko starts draining the tanks at the same time. When will both tanks have the same amount of water? How much water is in each tank at that time
The answers to each part is mentioned above.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that Aiko works in the fish department of a pet store. She must drain, clean, and refill two reef tanks. The first tank hold 175 gallons of water and drains at a rate of 25 gallons per hour. The second tank holds 200 gallons of water and drains at a rate of 30 gallons per hour.
( 1 ) -Equation for tank {1} -
y = 175 - 25x
Equation for tank {2} -
y = 200 - 30x
( 2 ) -For the solution we can write -
175 - 25x = 200 - 30x
- 25x + 30x = 200 - 175
5x = 25
x = 5
and
y = 200 - 150
y = 50
( 3 ) -For the same amount of water we can write -
175 - 25x = 200 - 30x
- 25x + 30x = 200 - 175
5x = 25
x = 5 hours
In tank (1), there is : 175 - 25 x 5 = 50 gallons
In tank (2), there is : 200 - 30 x 5 = 50 gallons
Therefore, the answers to each part is mentioned above.
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b) Obtain reduced cost matrix for travelling sales person problem. Consider the instance define by the cost matrix: [8M] 00 5 1 10 6 4 12 7 1 Pa 8 a 3 7 6 1 8نرا 4 16 9 3 8 a 16 12 7 6 00 *****
The reduced cost matrix for travelling salesperson problem in the given instance is shown below. The Travelling Salesperson Problem (TSP) is a classical combinatorial optimization issue that belongs to the category of NP-Hard problems.
This problem can be resolved using a branch and bound algorithm or by using dynamic programming.The reduced cost matrix for the given travelling salesperson problem instance The computation of the reduced cost matrix for travelling salesperson problem involves two steps: Identify the smallest element of each row and subtract the value from all the values in the row.
Identify the smallest element of each column and subtract the value from all the values in the column.In the given instance, the smallest element of each row is highlighted in bold. Therefore, after performing Step 1 the matrix becomes the matrix becomes Hence, the reduced cost matrix for the travelling salesperson problem is obtained.
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inge flies a kite at a height of 300 ft, the wind carrying the kite horizontally away at a rate of 25 ftsec. how fast must she let out the string when the kite is 500 ft away from her?
20 ft/sec must she let out the string when the kite is 500 ft away from her.
What is rate?
A rate is a unique ratio where the two words are expressed in several units.
For instance, the price is 69 for 12 ounces if a 12-ounce can of maize costs 69. This is not a proportion of two comparable units, like shirts. Cents and ounces are the two dissimilar units in this ratio.
Let x = distance of girl from the point on the ground directly below the kite at time t
y = length of string at time t
At time t, we have a right triangle with horizontal leg of length x, vertical leg of length 300, and hypotenuse of length y.
Given: dx/dt = 25
Find: dy/dt when y = 500
By the Pythagorean Theorem, \(x^2 +300^2 = y^2\)
Differentiating both sides, with respect to t,
\((2x)\frac{dx}{dt} = 2y\frac{dy}{dt}\) ...(1)
Since, \(x^2 +300^2 = y^2\), y = 500,
So, x = 400
Plug these values in equation (1).
\(2(400)(25) = 2(500)\frac{dy}{dt}\)
After solving,
\(\frac{dy}{dt} = 20 ft/sec\)
Therefore, 20 ft/sec must she let out the string when the kite is 500 ft away from her.
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A line has a slope of -3/4 and passes through the point (-5, 4). Which is the equation of the line?
O y=-3x+1/2
O y=-3x+4
O y=-x-2
oy--x-1/4
The equation of line which has slope -3/4 and passes through a point (-5,4) is given by
y = -3/4x +1/4
We have been given,
Slope = m = -3/4
Point = (x1,y1) = (-5,4)
The general slope-intercept form is given as,
y = mx + c
where m = slope
c = intercept
Further, the formula to find the equation of line when we have been given one point and the slope is as follows,
(y-y1) = m(x-x1) (1)
Now putting the required value in equation (1) we will get,
(y-4) = -3/4(x+5)
y-4 = -3/4x – 15/4
y = -3/4x – 15/4 + 4
y = -3/4x +1/4
Thus, the equation of line which has slope -3/4 and passes through a point (-5,4) is given by
y = -3/4x +1/4
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2 years ago, father's age was nine times the son's age but 3 years letter it will be 5 times only. Find the present ages of the father and the son
The required present ages of the father and the son are 47 years and 7 years respectively.
Let the present age of the father and the son be x years and y years, respectively.
According to the question,
Condition I,
2 years ago, the father's age was nine times the son's age.
or,(x−2)=9(y−2)
or,x−2=9y−18
or,x=9y−18+2
or,x=9y−16 - (i)
Condition II,
3 years later, the father's age will be five times the son's age.
or,(x+3)=5(y+3)
or,x+3=5y+15 - (ii)
Put the value of x from equation (i) in equation (ii), and we get,
or,(9y−16)+3=5y+15
or,9y−16=5y+15−3
or,9y−5y=12+16
or,4y=28
or,y=284
∴y=7
Put the value of y in equation (i), and we get,
or,x=9×7−16
or,x=63−16
∴x=47
So, (x,y) = (47,7)
Therefore, the required present ages of the father and the son are 47 years and 7 years respectively.
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What is the like term, Coefficient and constants 4+4y+y+3
Answer:7+5y
Step-by-step explanation:
3+4=7
4y+y=5y
Barton wants to know how much his packed suitcase weighs before he leaves to catch a flight. The airline will charge an extra fee if his suitcase weighs more than 50 pounds. Which method should Barton use to get the most accurate and appropriate measurement?
Barton should use a luggage scale to get the most accurate and appropriate measurement of his packed suitcase before he leaves to catch a flight. A luggage scale is a compact and portable device that is designed specifically to weigh luggage. Using a luggage scale is easy and convenient as it allows travelers to weigh their bags accurately, ensuring that they are within the airline's weight limit. To use a luggage scale, Barton should follow these simple steps:
Step 1: Attach the luggage strap Barton should attach the luggage strap to the handle of his suitcase.The strap should be attached in such a way that it can support the weight of the suitcase without slipping or coming off.
Step 2: Turn on the luggage scale Barton should turn on the luggage scale and wait for it to calibrate. This usually takes a few seconds. Once the scale is calibrated, it will display a zero reading.
Step 3: Lift the suitcase Barton should lift the suitcase by the luggage strap until it is off the ground. The luggage scale will display the weight of the suitcase on its digital display. This reading is the weight of the suitcase including all the contents inside.
Step 4: Check the weight If the weight of the suitcase is less than 50 pounds, Barton can go ahead and catch his flight without worrying about any extra charges. If the weight of the suitcase is more than 50 pounds, Barton will have to remove some items from the suitcase or pay the extra fee charged by the airline.
Therefore, using a luggage scale is the most accurate and appropriate method for travelers like Barton to measure their suitcase weight before boarding their flight.
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Answer:
use a standard digital bathroom scale.
Step-by-step explanation:
Please Help 100 POINTS!!!
Answer:
B
Step-by-step explanation:
Answer:
B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)
Step-by-step explanation:
A bakery sells 6 bagels for $2.99. What is the cost, in dollars, for 48 bagels?
A. $10.76
B. $13.16
C. $23.92
D. $37.08
Answer: $23.92
Step-by-step explanation:
First, we know that 6 bagels is $2.99.
48/6=8
This means that 6 is a multiple of 48, which makes it easier to solve.
$2.99 x 8 = 23.92
= $23.92
A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The volume of each small box is 8 cubic feet and the volume of each large box is 21 cubic feet. A total of 20 boxes of paper were shipped with a combined volume of 264 cubic feet. Determine the number of small boxes shipped and the number of large boxes shipped.
Answer:14
Step-by-step explanation: so if you add 21 and 264 and 20 u would get 14 hehehehhehehe im da best your not :)
Which postulate proves the two triangles
congruent?
Account
SAS
SSS
AAS
ASA
Not congruent
Answer:
HL
Step-by-step explanation:
PQ = PR {hypotenuse}
PS = PS {Reflexive property, PS is the leg of the both triangles}
∠PSQ = ∠PSR = 90
So, HL postulate
Please help!!
Will mark brainliest
Answer:
2/3x+5=y
Step-by-step explanation:
We already know that this has to be linear and that its y-intercept is 5 ((0,5) is a point on the table). That means that the equation is
mx+5=y.
Now all we need to do is plug in some points.
3m+5=7
(Subtract 5 from both sides)
3m=2
m=2/3
Sammy has a rectangular doormat on her porch. The mat is 4/5 m and long 1/2 m wide. what's the area of the door mat?
Answer: 2/5
Step-by-step explanation: trust
Please help. Will mark brainlist if correct
Answer:
a
Step-by-step explanation:
brainliest pls
Answer:
d
Step-by-step explanation:
my answer is d
have a great day
If f(x)=3x-1 and g(x)= x+2 find (f-g)(x)
Answer:
\(\boxed{2x-3}\)
Step-by-step explanation:
\(f(x)=3x-1\\ g(x)= x+2\)
\((f-g)(x)\\f(x)-g(x)\)
\((3x-1)-(x+2)\\ 3x-1-x-2\\2x-3\)
a cookie recipe calls for 2 and 1/2 cups of sugar. Damian needs to make only two thirds of the recipe. How much sugar will he need?
Answer:
5/3 or 1 2/3 cups of sugar.
Step-by-step explanation:
First, divide by 3 to find the amount of sugar per third.
2 1/2 ÷ 3
5/2 * 1/3
5/6
Second, multiply by two.
5/6 * 2
5/6 * 2/1
10/6
5/3 or 1 2/3
Best of Luck!