5.25 pack of printer paper the manager should expect to have after 30 days.
How to solve an equation?To solve linear equations, utilize the steps that are provided below.
Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
If 140 paper are used in 80 days then
in days 80 ⇒ 140 pack paper used
in day 1 ⇒ 140/80 pack paper used
in days 30 ⇒ 140/80 × 30
⇒ 21/4 pack paper used or 5.25 pack paper used
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Multiply -
60/21 by 7/30
The height of a thrown ball is a quadratic function of the time it has been in the air. The graph of the quadratic function is the parabolic path of the ball. The vertex of the graph is (1, 20) and the path of the ball includes the point (0, 4). What is an expression that defines this function? Write the quadratic equation in vertex form and in the form y = ax^2 + bx + c.
An expression that defines this quadratic function is ax² + bx + c = 0.
An expression that defines the quadratic equation in vertex form is equal to y = -16(x - 1)² + 20 and y = -16x² + 32x + 4.
Given the following data:
Vertex, (h, k) = (1, 20).Point (x, y) = (0, 4).What is a quadratic function?A quadratic function can be defined as a mathematical expression that can be used to define and represent the relationship that exists between two or more variable on a graph.
In Mathematics, the graph of any quadratic function is parabolic because it is a u-shaped curve. Also, the standard form of a quadratic function is given by;
ax² + bx + c = 0
Mathematically, the standard equation with the vertex for any parabola is given by:
y = a(x - h)² + k.
where:
h and k are the vertex.a is a point.Substituting the given parameters into the formula, we have;
y = a(x - h)² + k.
4 = a(0 - 1)² + 20.
4 = a + 20
a = -20 + 4
a = -16.
Therefore, an expression that defines this quadratic function is equal to ax² + bx + c = 0.
For the quadratic equation in vertex form, we have:
y = -16(x - 1)² + 20.
y = -16(x - 1)(x - 1) + 20.
y = -16(x² - x - x + 1) + 20.
y = -16(x² - 2x + 1) + 20.
y = -16x² + 32x - 16 + 20.
y = -16x² + 32x + 4.
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PROOF Write the specified type of proof. two-column proof
Given: RSTUV is a pentagon.
Prove: m ∠ S+m \VS T U+m∠ T U V +m ∠ V+m ∠ V R S=540
According to the given data the specified type of proof. two-column proof are:
m∠ S + m∠ 1 + m∠ 2 + m ∠3 + m ∠4 + m∠ 7 + m∠ 6 + m∠ V + m∠ 5 = 540 (Add. Prop.) m ∠S + m ∠STU + m ∠TUV + m∠ V + m∠ VRS = 540 (Subst.)What exactly is two-column proof?A two-column geometric proof is made up of a set of claims and the reasons why we know they are true. The statements are stated in the left column, while the reasons for making them are mentioned in the right column.
What exactly is proof geometry?Geometric proofs are assertions that demonstrate the truth of a mathematical notion. Proof must comprise numerous phases in order to be proven true. These steps consist of reasons and declarations. Geometric proofs come in a variety of forms, include two-column proofs, paragraph proofs, and flowchart proofs.
According to the given data:Given: RSTUV is a pentagon.
Prove: m ∠ S+m \VS T U+m∠ T U V +m ∠ V+m ∠ V R S=540
1. RSTUV is a pentagon. (Given)
2. m∠ S + m ∠1 + m ∠2 = 180;
m ∠3 + m ∠4 + m∠ 7 = 180;
m ∠6 + m ∠V + m∠ 5 = 180 ( Sum Thm.)
3. m∠ S + m∠ 1 + m∠ 2 + m ∠3 + m ∠4 + m∠ 7 + m∠ 6 + m∠ V + m∠ 5 = 540 (Add. Prop.)
4. m ∠VRS = m ∠1 + m∠ 4 + m ∠5;
m∠ TUV = m∠ 7 + m ∠6;
m ∠STU = m ∠2 + m∠ 3 ( Addition)
5. m ∠S + m ∠STU + m ∠TUV + m∠ V + m∠ VRS = 540 (Subst.)
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What is the answer to this problem?
Answer:
The length is 120 yards, the width is 60 yards.
Step-by-step explanation:
[tex]l = 2w[/tex]
[tex]2(w + 2w) = 360[/tex]
[tex]3w = 180[/tex]
[tex]w = 60[/tex]
[tex]l = 120[/tex]
MARKS BRANLIEST TO WHOEVER ANSWERS FIRST, CHECK SCREENSHOT
The sequence of the angles from least to biggest is ∠WXY < ∠YXZ < ∠WYX < ∠XZY < ∠XYZ.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
In a triangle, if the angle is small then the opposite side will be short, and if the angle increases then the side also increases.
The sides of the triangle are in ascending order, then we have
WY < YZ < WX < XY < XZ
Then the sequence of the angles is given as,
∠WXY < ∠YXZ < ∠WYX < ∠XZY < ∠XYZ
The sequence of the angles from least to biggest is ∠WXY < ∠YXZ < ∠WYX < ∠XZY < ∠XYZ.
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which number sentence does the following number line represent?
1 + (-5) = 6
5 + 1 = 6
1 + (-6) = -5
-5 + 6 = 1
The number expression that represents the number line option (C)
1 + (-6) = -5 is correct.
What is a number line?
It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.
A number line can be used to add and subtract integers. When adding positive numbers we move to the right and when adding negative numbers we move to the left.
When subtracting positive numbers we move to the left and when subtracting negative numbers we move to the right.
We can frame a number expression using the number line:
1 + (-6) = -5
1 - 6 = -5
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It begins at 1 and moves backward 6 before ending at -5.
The number phrase 1 + (-6) = -5 on the number line represents the (C) choice correctly.
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PLEASEE HELPP MEE
EHTS THE ANSWER WITH THE WORKK
5x - 4 = 1/2 (4x + 8 )
Answer:
х=8/3 solution on screen
Step-by-step explanation:
Good luck
V=1/3πr2(h-1) solve for h with work shown please
Answer:
which mountain is known as Nepal Himal?
Physical science
Your dog takes off from your house after seeing a cat run across the street. If your dog started from rest and achieved 5.5 m/s in 3 seconds, what is the acceleration of your dog?
The acceleration of the dog is approximately 1.83 meter per second² .
Acceleration is defined as the rate of change of velocity . The change in velocity per unit time is acceleration.
The formula to calculate acceleration is given by acceleration = velocity ÷ time.Negative acceleration is called deceleration.Acceleration can be uniform or non-uniform.In the given problem the dog started from rest and achieved the final velocity of 5.5 m/s.
Let us use Newton's laws to write the equation:
v = u + at , where v is the final velocity , u is the initial velocity , a is acceleration and t is time.
The dog starts from rest so the initial velocity is 0.
given v=5.5 /s and t = 3 seconds
putting the values we get:
v = u + a t
or , 5.5 = 0 + 3a
or, a = 5.5/3 meters per seconds²
or, a = 1.8333... m/s²
or, a ≈ 1.83 m/s²
The acceleration of the dog is 1.83 m/s²
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a. What is the solution of this system of equations? 3x + 7y = 15 , 5x +2y = -4.
The solution of the system of equations involving 3x + 7y = 15 and 5x + 2y = -4 is (-2 , 3).
A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.
There are three methods that can be used to solve system of linear equations.
1. Elimination
2. Substitution
3. Graphing
Using substitution method, given two linear equations in x and y,
3x + 7y = 15 (equation 1)
5x + 2y = -4 (equation 2)
Using the first equation, find the value of one variable, lets say x, in terms of the other.
3x + 7y = 15 (equation 1)
3x = 15 - 7y
x = 5 - (7/3)y
Substitute the equation of x to the second equation.
5x + 2y = -4 (equation 2)
5[5 - (7/3)y] + 2y = -4
25 - (35/3)y + 2y = -4
Combining all terms containing the variable y on one side and the constants on the other side of the equality, and solving for y.
25 - (35/3)y + 2y = -4
- (35/3)y + 2y = -4 - 25
-(29/3)y = -29
y = 3
Substitute the value of y in the equation of x.
x = 5 - (7/3)(3)
x = 5 - 7
x = -2
Hence, the solution of the given system of equations is (-2 , 3).
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Complete the statement of the distance formula.
DISTANCE FORMULA The distance AB between two points A(x₁, y₁) and B(x₂, y₂) in a
coordinate plane is given by the equation:
AB =
Answer:
[tex] \sqrt{(x2 - x1) ^{2} } + (y2 - y1) {}^{2} [/tex]
Find the common difference or ratio.
20, 10,__,2.5,__
Write the expression as a number in scientific notation. quantity 8 times 10 squared end quantity times quantity 3.2 times 10 to the fifth power end quantity all divided by quantity 4 times 10 cubed 7.2 x 107 7.2 x 104 6.4 x 107 6.4 x 104
Scientific notation exists as a method of writing very large or very small numbers. The expression as a number in scientific notation is 6.4 × [tex]$$10^4[/tex].
What is meant by scientific notation?Utilizing scientific notation, one can express extremely big or extremely small values. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation.
To express exceedingly high numbers in a shorter manner, scientists have created a shorthand. Scientific notation is the name of this technique. The foundation of scientific notation is the base-10 powers. The coefficient is defined as the initial number, 1.23.
Given: (8 ×10²) × (3.2 ×[tex]$$10^5[/tex])/4 × 10³
simplifying the above equation, we get
= 800 × 320000/4000
= 64000
= 6.4 × [tex]$$10^4[/tex]
Therefore, the expression as a number in scientific notation is 6.4 × [tex]$$10^4[/tex].
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Answer:
6.4 x 10^4
Step-by-step explanation:
At a carnival, the object of a game is to throw a dart at the board and hit region III.
d. What is the probability that it hits region IV?
The probability that it hits region IV is 30%.
Probability:
Probability means the possibility of the particular event.
And it can be calculated as,
P(A) = n(A)/n(S)
Where,
P(A) is the probability of an event “A”
n(A) is the number of favorable outcomes
n(S) is the total number of events in the sample space.
Given,
At a carnival, the object of a game is to throw a dart at the board and hit region III.
Here we need to find the probability that it hits region IV.
Consider the board was look like the following figure.
Then based on the given figure,
First, we have to find the total area of the board and the area of the required region.
And then we have to compare it to calculate the Probability.
So, the total area of the board is,
=> total area of the board = (10 + 30)(10 + 15)
=> total area of the board = 1000 in²
Now, the The area of the region IV is
=> Area = (10)(30)
=> Area = 300 in²
Therefore, the probability that it hits region IV is
=> P = 300/1000
=> P = 30/100
=> P = 30%
Therefore, the probability that it hits region IV is 30%.
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Disc golf is similar to regular golf, except that a flying disc is used instead of a ball and clubs. For professional competitions, the maximum weight of a disc in grams is 8.3 times the diameter in centimeters. What is the maximum allowable weight for a disc with circumference 66.92 centimeters? Round to the nearest tenth.
The maximum allowable weight for a disc with circumference 66.92 centimeters Round to the nearest tenth is 176.9 grams.
What is circumference of circle?A circle's outside boundary is called the circumference and can be measured, or calculated, by using
Circumference = 2πr
where r is the radius of circle.
Now it is given that,
the maximum weight, w of a disc in grams is 8.3 times the diameter, d in centimeters
⇒ w ≤ 8.3d
and the maximum allowable weight for a disc with circumference 66.92 centimeters
So, Circumference = πd [∵ d = 2r]
∴ 66.82 = πd
⇒ d = 66.82π
Thus, w ≤ 8.3*66.82π grams
⇒ w ≤ 176.89 grams
Round to the nearest tenth, w ≤ 176.9 grams
Thus, the maximum allowable weight for a disc with circumference 66.92 centimeters Round to the nearest tenth is 176.9 grams.
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2. Joel needs to solve the equation below.
Which describes the step he should take?
n² = 16
a. Divide both sides by 2
b. Take the square root of both sides
c. Square both sides
d. None of the above
Answer: B
Step-by-step explanation:
Since n is being squared, to get rid of the square you would need to square root it.
please help and answer correctly need to get and A or B atleast!!
Answer:
Part1: 4.25 + 4.00x = 12.25
Part2: 2 lbs. of potato salad. The customer bought 2 lbs because you subtract 4.25 from 12.25 and are left with $8. You would then divide 8$ by 4 and end up with 2
A veterinarian recorded a cat’s resting heart rate to be 120 beats over a 45-second time period. Complete the table to find the number of heartbeats in different amounts of time. Then find the constant of proportionality in beats per minute. number of hearveats
Number of Minutes Number of Heartbeats
0.25
0.5
0.75
1
Answer:
1. 0.6 (continues)
2. 1.3 (continues)
3. 2
4. 2.7
Malika was given a gift card for a coffee shop. Each morning, Malika uses the card to buy one cup of coffee. Each cup of coffee costs $2.50 and the original amount of money on the gift card was $45. Make a table of values and then write an equation for A,A, in terms of x,x, representing the amount money remaining on the card after buying xx cups of coffee.
The expression representing the amount remaining will be 45 - 2.50x.
Table of values
At x = 1 Amount = 42.50
At x = 2 Amount = 40.
How to illustrate the information?From the information, Malika uses the card to buy one cup of coffee. Each cup of coffee costs $2.50 and the original amount of money on the gift card was $45.
Therefore, the expression representing the amount remaining will be:
A = 45 - (2.50 × x)
A = 45 - 2.50x
At x = 1 Amount remaining will be:
= 45 - 2.50
= 42.50
At x = 2
A = 45 - 2.50x
A = 45 - 2.50(2)
= 40
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help pls
-4|w-1|=-8
solve for w
Answer:
w= 3, -1
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
w can be either 3 or -1
Step-by-step explanation:
-4 |w-1| = -8
Divide both sides by -4
List both cases
|w-1| = 2 |w-1| = -2
w = 3 w = -1
According to the Handbook for Public Playground Safety, the ratio of the vertical distance to the horizontal distance covered by a slide should not be more than about 4 to 7 . If the horizontal distance allotted in a slide design is 14 feet, approximately how long should the slide be?
The length of the slide should be approx. 16 ft long.
Pythagoras Theorem states that sum of square of two sides of triangle is equal to the square of longest side of the right angle triangle..
From the given figure
we will use ratio to find the vertical distance
given that vertical/horizontal=4/7
[tex]\frac{vertical.distance}{horizontal.distance} =\frac{vertical.distance}{horizontal.distance}[/tex]
[tex]\frac{4}{7} =\frac{v}{14}[/tex]
By cross multiplying we get v=8 feet.
As we can see in the figure that Vertical distance, Horizontal distance and the Slide forms a Right angled Triangle.
Pythagoras Theorem can be used to find the length of the slide.
Applying Pythagoras Theorem in ΔABC
[tex]AB^{2} +BC^{2} =AC^{2}[/tex]
given that AB=14 and BC=8
Substituting in the above equation we get
[tex](14)^{2} +8^{2} =AC^{2} \\\\ 196+64=AC^{2} \\ \\ 260=AC^{2}[/tex]
[tex]AC=\sqrt{260}=16.12[/tex]
approx. 16 feet
Therefore , the length of the slide should be approx. 16 ft long.
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дост
IS
8. A patio is rectangular. Its length is 8.39 meters, and its width
is 5.4 meters.
What is the approximate perimeter of the patio? Round your answer to the
nearest whole number.
140
28 m is the approximate perimeter of the rectangle patio.
What is a rectangle, exactly?
The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.p = 2w + 2l
therefore, p = 8.39 * 2 + 5.4 * 2
p = 16. 78 + 10.8
p = 27.58
perimeter = 28 meters
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An example is a counterexample to a general statement if it makes the statement false. Show that each of the following statements is false by finding a counterexample.
The opposite of each whole number is a whole number.
An example is a counterexample to a general statement if it makes the statement false is given by an example of the opposite of each whole number is not a whole number, it is an integer.
As given,
Given statement:
Opposite of each whole number is a whole number
Consider whole number=2
Opposite of 2 is -2
-2 is not a whole number it is an integer.
Therefore, an example is a counterexample to a general statement if it makes the statement false is given by an example of opposite of each whole number is not a whole number.
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Total surface Area of cross or soiled cylinders
The cylinder's total surface area includes the area of the curving surface as well as the areas of the two circle-shaped bases of the cylinder.
The area of the two bases and the area of the curved surface are added to determine the cylinder's total surface area. Consequently, the following is the formula for the cylinder's total surface area:
Area of the two bases plus the area of the curved surface equals the cylinder's total surface area. Due to the cylinder's round bottoms, their combined area will be equal to r2 + r2. We already know that a cylinder's curved surface area is 2rh.
(r2 + r2 + 2rh) is the cylinder's total surface area.
⇒ 2πr2 + 2πrh
Total surface area of cylinder = 2πr(r+h)
where,
r = radius of the cylinder
h = height of cylinder
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What is an equation of a parabola opening left with vertex (0,0) and focus (-3,0) ?
A parabola is defined as a curve where each point is equidistant from:
fixed point (focus) and
fixed line (director).
The properties of a parabola can be defined as given below:
Rays parallel to the axis of symmetry are reflected straight from the surface to the focal point.
Because the vertex of the parabola is at (0,0) and the focus is at (-3,0).
This means that the parabola axis is the negative x-axis.
The parabola equation is x^2 =4ay and a=3.
So, the parabola equation is x^2 =12y.
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Find the distance between pair of parallel lines with the given equations.
y=-6 y=1
The distance between pair of parallel lines with the given equation
y=-6 y=1 is 7 units
Definition of parallel linesParallel lines are any two or more lines that lie in the same plane but never cross one another. Both have the same slope and are equally distant from one another. No matter how far we extend a parallel line, it will always remain straight.
The fundamental characteristics listed below make it simple to recognize parallel lines.
Straight lines which are always the same distance apart from one another are known as parallel lines.No matter how far apart they are from one another, the parallel lines can never intersect.The two lines have the coefficient of x, zero. So, the slopes are 0.
Therefore, the lines are horizontal lines passing through y = −6 and y = 1.
The perpendicular distance between the these horizontal lines is
1 - (-6) = 7 units.
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What to do if B is negative in a transformation? Does it become a positive fraction or stay a negative fraction when reflected over the y axis?
Step-by-step explanation:
what is B in your question ? you did not tell us.
since you mention "fraction", I assume B is the slope of a line ?
if that is the case, please remember, the slope is (y coordinate change / x coordinate change) when going from one point of the line to another.
the way you phrased it I assume the slope was originally negative.
that means either the y difference or the x difference was negative (but not both, otherwise it would have been a positive fraction again).
let's look at what happens, when things get reflected across the y axis :
things go from the left side (negative x values) to the right side (positive x values) of the y axis or vice versa.
and things stay on the same side of the x axis (either above the x-axis with positive y values, or below the x-axis with negative y values).
so, that reflection causes the x values to flip their sign, but the y values stay the same.
so, if y was originally negative, then x must have been positive. after the reflection x is now negative too, that makes the y/x fraction -/- = +/+ positive.
if y was originally positive, then x must have been negative. after the reflection x is now positive too, that makes the y/x fraction +/+ positive.
therefore, in every case, the reflected slope fraction must be positive.
Factories: a factory produces 6 motorcycles in 9 hours. Write a proportion and solve it to find how many hours it takes to produce 16 motorcycles.
Answer: x=24
6:9, 16 is to x = 16:x
6/9=16/x
multiply both sides by x
6x/9=16
multiply both sides by 9
6x=144
divide by 6
x=24
Answer:
6 motorcycles/ 9 hours = 16 motorcycles/x hours
to complete a proportion you need to multiply the cross products
9(16)=6x
144=6x
144/6=6/6 x
24=x
it will take 24 hours to produce 16 motorcycles
Cement is poured into a hemisphere that is 6cm across. What is the volume of cement used?
hope the picture makes sense. I think it's right (no expert) if u want me to explain just ask. the answer is circled. usually the question would ask you to round so i wrote the full version
I WILL GIVE BARINLIEST TO THE FIRST PERSON WHO ANSWERS MY QUESTION!!!!!
Can someone please help me? I really need the help right now.
Which of the following is equal to g(x)?
A. 2(x + 2)
B. 2x + 2
C. 2x - 2
D. 2(x - 2)
( Also I am bo*red...Can someone talk to me.....Anyone...Idc who you are....Unless your cr33py then I care)
Using translation concepts, the formula for function g(x) is given by the following option:
D. g(x) = 2^(x - 2)
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
From the graph of the functions, we have that:
f(x) = 2 when x = 1.g(x) = 2 when x = 3.f(x) = 4 when x = 2.g(x) = 4 when x = 4.This means that g(x) is a shift right of 2 units of f(x), that is:
g(x) = f(x - 2).
Hence:
g(x) = 2^(x - 2)
The formula for function g(x) is given by the following option:
D. g(x) = 2^(x - 2)
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