value of the slope is 22.3 % per Kg
Charging a single, fixed price for a given service is known as flat rate pricing.
What do flat rate means?Charging a single, fixed price for a given service is known as flat rate pricing. Regardless matter how much time or work is required to complete, this cost remains constant.A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run."The rise over the run determines a line's slope. We can always put the slope over the number one if the slope is represented by an integer or decimal value. When it runs 1, the line in this instance increases by the slope. "Runs 1" denotes a one-unit rise in the x value.The U.S. Postal Service charges a $21.90 flat rate.
additional $4.90 per kilogram.
slope rate =[tex]\frac{4.90}{21.90} X 100 = 22.3 %[/tex] %
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Carlos and his mom went out on a bike ride. They rode 5/8 of a mile to the park and then rode 5/8 of a mile back home. How far did they ride in all?
Using the distance, 5/4 far distance that they ride in all.
In the given question,
Carlos and his mom went out on a bike ride.
They rode 5/8 of a mile to the park and then rode 5/8 of a mile back home.
We have to check how far did they ride in all.
We have to find the total distance that he ride to park and from the park.
We can find the total distance by adding the whole distance that he ride.
Total distance = Distance to the park + Distance back home
Total distance = 5/8+5/8
Since the denominator is same. So
Total distance = (5+5)/8
Total distance = 10/8
Now simplifying.
Total distance = 5/4
Hence, 5/4 far distance that they ride in all.
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In the high school band there are 2 percussionists on the sideline to every 13 marching instruments. If the high school band has 150 total members, then how many percussionists are on the sideline?
Answer:
180 / (13 + 2) =12 bands of 15 students each.
Since 2 from each band are sidelined, then:
12 x 2 = 24 - number of students on the sidelines, so that:
13 x 12 + 24 =180 - total number of students.
What value of x makes this equation true?
12x-15=6-3x.
F 7./3. G. 3/7. H. 5/7. J. 7/5
Answer:
7/5
Step-by-step explanation:
12x - 15 = 6 - 3x
15x = 21
x = 7/5
clock has a circumference of 63 in. What is the area of the face of the
The face of a
clock?
Answer:
314
Step-by-step explanation:
1. Divide 63 by pi (equals 20)
2. Divide 20 by 2 which equals 10.
3. Multiply 10 by itself to get the square. which would be 100
4. Multiply 100 by pi
3. Finally A=314
use the distributive property to rewite each expression -7(5 - n)
The expression using distributive property becomes 7n - 35
What is distributive property of multiplication?The distributive property is also known as the distributive law of multiplication over addition and subtraction.
The distributive property states that an expression which is given in form of A (B + C) can be solved as A × (B + C) = AB + AC. This distributive law is also applicable to subtraction and is expressed as, A (B - C) = AB - AC. This means operand A is distributed between the other two operands.
Using this distributive law, A × (B + C) = AB + AC. to re-write the expression -7(5 - n), A = -7, B = 5 and C = -n
we have -7(5 - n) = (-7 x 5) + (-7 x -n)
which is further simplified as (-35) + (7n) = 7n - 35
In conclusion, the re-written form of -7(5 - n) in distributive form is 7n - 35
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Y=-x-7
5y+3x=-13
Solve the system!
Will give brainless if you show work!
Answer:
Step-by-step explanation:
y=-x-7........(1)
5y+3x=-13..........(2)
(2) - 3x(1)=>
5y+3x= -13
3y + 3x = - 21
(-) (-) (+)
-----------------------
2y+0=8
=>y=4
(1)=>
y= -x-7
=>x= -y-7
=>x= -4-7
=>x= -11 .
Answer:
x=-11 & y= 4
Step-by-step explanation:
y=-x-7
5y+3x=-13
y+x=-7—eqn i
5y+3x=-13—eqn ii
multiply eqn i by 5
5y+5x=-35
multiply eqn Ii by 1
5y+3x=-13
put eqn I and Ii together
5y+5x=-35
5y+3x=-13
subtract
2x=-35--13
2x=-35+13
2x=-22
divide both sides by 2
2x/2 = -22/2
x=-11
put x=-11 into eqn i
y+x=-7
y-11=-7
y=-7+11
y=4
I need help with my math please
Answer:
41-29=12
756+223=979
821-690=131
eleventh, fifteenth, nineteenth
4
2
denise split her birthday money with her two sisters. the spent 6$ on lunch, so he has $24 left. how much money did denise get for her birthday?
Denise got $30 for her birthday, spending $6 on lunch, and having $24 left.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let y represent the money that Denise get for her birthday.
Denise split her birthday money with her two sisters. the spent 6$ on lunch, so he has $24 left. Hence:
Amount gotten for birthday = $6 + $24
y = $6 + $24 = $30
Denise had $30
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PLEASE HELPP Toshi is going to get a 7% raise after he works at his job for 1 year. If s represents his
starting salary, write an expression that shows how much he will make after his raise. PLEASEE HELP ME ITS THE LAST QUESTION AND I NEED THIS
Answer:
10%
Step-by-step explanation:
In a recent year, 23% of all college students were enrolled part-time. If 6.6 million college students were enrolled part-time that year, what was the total number of college students?
Round your answer to the nearest million.
Answer:
The total amount of college students enrolled part-time that year would be approximately 2 million.
Step-by-step explanation:
In order to find out the amount of college students enrolled part-time that year, we need to convert the 23% into 0.23, and then use a calculator, with this equation:
0.23 x 6,600,000 = 1,518,000
Now, it says to "round your answer to the nearest million."
1.518 million is closer to 2 million than 1 million, so our answer would be 2 million.
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
14.
DRILLING The volume of a drill bit can be estimated by the formula for a cone, V-hr2, where h is the height of
the bit and r is its radius. Substituting
for h, the volume of the drill bit can be estimated by V=³.
What is the volume of a drill bit with a radius of 3 centimeters?
The volume of a drill bit with a radius of 3 centimeters is of:
16.32 cm³.
How to obtained the numeric value of a function or of an expression?To obtain the numeric value of a function or of an expression, each instance of the input variable of the function has to be replaced by the value at which we want to find the numeric value.
The volume of a drill bit with a radius of r centimeters is given by the equation presented as follows:
[tex]V = \frac{\sqrt{3}}{9}\pi r^3[/tex]
Hence, for a radius of 3 centimeters, as is the case in this problem, the lone instance of r is replaced by 3, and the volume is obtained as follows:
[tex]V = \frac{\sqrt{3}}{9}\pi (3)^3 = 16.32[/tex]
The unit of the volume is in cubic centimeters, as the radius is measures in centimeters and then it is cubed.
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(48 x 20) 4 + 20 - 53 =
Solve for x
0.5(5-7x)=8-(4x+6)
Answer:
Problem: 0.5(5-7x)=8-(4x+6)
Answer: x= -1
SANDBOX Jayden is drawing the top view of a square sandbox on a coordinate plane with vertices at D(1, 1), E(1, 6), F(6, 6) , and G(6, 1) . To move the sandbox so that it is in the shade, he reflects it. The vertices of the image are at D′(1, 1), E′(1, 6), F′(−4, 6) , and G′(−4, 1) . Describe the transformation. Use decimals, if necessary.
reflection in the line x
Reflection is along line x = 1, using plotting of points.
What do you mean by reflection , rotation and translation?
An object can be reversed across a line through reflection without changing its size or shape.
Rotation is the movement of an item around a fixed point while maintaining its original size and shape.
A figure can be translated if it is moved in any direction without altering its size, form, or orientation.
An object is always translated, but it is never turned, flipped, or shrunk.
It is given that Jayden is drawing the top view of a square sandbox on a coordinate plane with vertices at D(1, 1), E(1, 6), F(6, 6) , and G(6, 1) .
On plotting these points on graph paper we get below graph, (1)
Now , to move the sandbox so that it is in the shade, he reflects it and the new vertices of the image are at D′(1, 1), E′(1, 6), F′(−4, 6) , and G′(−4, 1)
On plotting these new coordinates we get below graph (2)
Square box in the second graph shifted to left side of x = 1.
Therefore, reflection is along line x = 1.
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Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
For the given inequality –3(2x – 5) < 5(2 – x) the correct way of representation is x > 5 which means an open circle is at 5 and bold line starts at 5 and is pointing to the right.
As given in the question,
Given inequality is given by:
–3(2x – 5) < 5(2 – x)
Simplify the given inequality to get the correct way of representation,
Open the parenthesis we get,
-3(2x) + 3(5) < 5(2) -5(x)
⇒-6x +15 < 10 -5x
Take like terms on the same side we get,
⇒15-10< 6x -5x
⇒ x > 5
This means value of x starts from 5 move towards right direction excluding 5.
Therefore, for the given inequality –3(2x – 5) < 5(2 – x) the correct way of representation is x > 5 which means an open circle is at 5 and bold line starts at 5 and is pointing to the right.
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First try was incorrect
Simplify the following expression. Write your answer using positive
exponents.
7^-4/
(7-4)^6
The expression 7⁻⁴/(7⁻⁴)⁶ in simplified form using positive exponents is (7)²⁰ .
In the question ,
it is given that ,
the expression is 7⁻⁴/(7⁻⁴)⁶ .
we need to find the simplified value of the expression .
So ,
= 7⁻⁴/(7⁻⁴)⁶
we know that (xᵃ)ᵇ = (x)ᵃˣᵇ
By using the above property , we get
= 7⁻⁴/(7)⁻⁴ˣ⁶
= 7⁻⁴/(7)⁻²⁴
we know that xᵃ/xᵇ = xᵃ⁻ᵇ
By using the above property , we get
= (7)⁻⁴×(7)²⁴
= (7)²⁴⁻⁴ ... by using the property xᵃ.xᵇ = xᵃ⁺ᵇ
= (7)²⁰
Therefore , The expression 7⁻⁴/(7⁻⁴)⁶ in simplified form using positive
exponents is (7)²⁰ .
The given question is incomplete , the complete question is
Simplify the following expression. Write your answer using positive exponents.
7⁻⁴/(7⁻⁴)⁶
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Mrs. Hoeting purchased 1 7 8cups of snozberries. If she eats 1 2cup per serving, how many servings does Mrs. Hoeting have? Justify your answer.
Mrs. Hoeting have approximately 4 times of serving.
Given,
The quantity of snozzberry Mrs. Hoeting purchased = 1 7/8 cups = 15/8 cups
The quantity of snozzberry she eats per serving = 1/2 cups
We have to find the number of servings does Mrs. Hoeting have;
Number of servings = Quantity of snozzberry purchased / Quantity of snozzberry eats per serving
Number of servings = 15/8 ÷ 1/2
Number of servings = 15/8 × 2
Number of servings = 15/4
Number of servings = 3.75 ≈ 4
That is,
Mrs. Hoeting have approximately 4 times of serving.
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The base of a triangle is represented by the expression 2x-12.The height of the triangle is 8 units more than the length of the base.which expression represents the area of the triangle?
The expression which represents the area of the triangle : [tex]2x^{2}-16x+24[/tex].
Length of base = B = 2x - 12
Height = H = Length of base + 8
= 2x - 12 + 8
= 2x - 4
Area = [tex]\frac{1}{2}(B)(H)[/tex]
= [tex]\frac{1}{2}(2x-12)(2x-4)[/tex]
= [tex]\frac{4}{2}(x-6)(x-2)[/tex]
= [tex]2(x^{2} -8x+12)[/tex]
= [tex]2x^{2}-16x+24[/tex]
Hence, the expression is [tex]2x^{2}-16x+24[/tex].
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Solve the problem.
Find the number of units, x, that produces the maximum profit P, if
C(x) = 20 +52x and
p=72-2x.
A company's profit is determined by its revenue less its cost of operations.Subtract costs from revenue to get the profit function.
Find the number of units ?Let P(x) stand for the profit, R(x) for the revenue, and C(x) for the expense.Profit thus equals P(x) = R(x) -C. (x).The revenue and expense can be modeled as fixed values or as functions,
Profit = Revenue - Cost
We need to find an equation for the revenue R(x).
R(x) = number of units * unit price = x * p(x) = x(72-x) = 72x - x2
Therefore: Profit P(x) = 72x - x2 - (20 + 52x) = - x2 + 20x -20
To find max profit, run the 1st derivative test, so set P'(x) = 0 and solve for x:
P'(x) = -2x + 20
set P'(x) = 0 ----> -2x+20 = 0 ----> -2x = -20 -----> x = 10
The number of units, x, that produces the maximum profit is 10.
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graph the linear equation x = -3
At confidence, how large a sample should be taken to obtain a margin of error of for the estimation of a population proportion? assume that past data are not available for developing a planning value for. Round up to the next whole number.
At confidence, how large a sample should be taken to obtain a margin of error for the estimation of a population proportion? We now assume that past data are not available for developing a planning value for
Preliminary estimate for proportion (Not Known) is equal to 0.5
Margin of error = E = 0.03
Level of significance = 1-0.99 = 0.01
Z critical value is considered as (by using Z table) = 2.576
So, the sample size formula is taken as
n = [p(1 – p)][tex]\left[Z/E]^{2}[/tex]
=[0.5*(1-0.5)] [2.576/0.03][tex]^{2}[/tex]
=1,843.03
Hence, the sample size is approximately will be 1,844
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The recursive formula, an = an-1 - 12 with a0 = 84 describes the amount of water left, in gallons, in a bathtub n after the drain stopper was pulled. Find a5, he amount of water left in the tub after 5 minutes.
_________
The amount of water left in the tub after 5 minutes is; 24 gallons
How to solve recursive formula?The given recursive formula is expressed as;
aₙ = aₙ ₋ ₁ - 12
We are told that a₀ represents the amount of water left, in gallons, in a bathtub n after the drain stopper was pulled.
Thus, when n = 1, we have;
a₁ = a₁ ₋ ₁ - 12
a₁ = a₀ - 12
a₁ = 84 - 12
a₁ = 72
Then;
a₂ = a₁ - 12
a₂ = 72 - 12
a₂ = 60
It will seem that it follows a sequence pattern of;
aₙ = 84 - 12n
Thus;
a₅ = 84 - 12(5)
a₅ = 24 gallons
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Exercise 2. Find m∠1 and m∠2
1)
angle 1 is 41
angle 2 is also 41
2)
angle 1 is 124
angle 2 is also 124
Mia is buying Ice Blast winter tires at Ryder's Auto Shop. The regular price of one tire is $129.50. The shop is having a sale on winter tires, so each Ice Blast tire is $25 off. Mia buys 4 tires. How much money does she spend on the tires?
Answer:
$418.00
Step-by-step explanation:
. i need this reallllllllllll badddddddddd
3/2b+5 < 17
Answer:
b < 8
Step-by-step explanation:
Given inequality:
[tex]\dfrac{3}{2}b+5 < 17[/tex]
Subtract 5 from both sides:
[tex]\implies \dfrac{3}{2}b+5-5 < 17-5[/tex]
[tex]\implies \dfrac{3}{2}b < 12[/tex]
Multiply both sides by 2:
[tex]\implies 2 \cdot \dfrac{3}{2}b < 2 \cdot 12[/tex]
[tex]\implies3b < 24[/tex]
Divide both sides by 3:
[tex]\implies \dfrac{3b}{3} < \dfrac{24}{3}[/tex]
[tex]\implies b < 8[/tex]
Find the nth term: 9,20,31,42
Answer:
the answer is 99 because the difference between the numbers is 11 and if you do 9 ×11 you get 99
Answer: The nth term of this sequence is a n= 11n-2
Step-by-step explanation:
Sequence : 9, 20, 31, 42
Difference : +11, +11, +11
The formula for nth term of an arithmetic progression is a n= d.n+a1-d
The formula for nth term of an arithmetic progression is d= 11 and a1=9
so.
a n=d.n+a 1-d
a n=11.n+9-11
a n=11n-2
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Write the equation of the parabola that has the same shape as f(x)=-3 x² but with vertex (5,9) in the form f(x)=a(x-h)²+k.
f(x)=
The equation of the parabola from the vertex is f(x) = -3(x - 5)² + 9
How to determine the equation of the parabola?The equation of the function is given as
f(x) = 3x²
Also, we have
Vertex = (5, 9)
The form of the equation is given as
f(x) = a(x - h)² + k
Where
Vertex = (h, k)
This means that
Vertex = (h, k) = (5, 9)
Substitute (h, k) = (5, 9) in the equation f(x) = a(x - h)² + k
So, we have
f(x) = a(x - 5)² + 9
This also means that
f(x) = -3(x - 5)² + 9
The -3 is gotten from f(x) = -3x²
Hence, the equation of the parabola is f(x) = -3(x - 5)² + 9
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The half-life of Radium-228 is 5.75 years. What is the annual decay rate? Express the result to four decimal places.
Express the annual decay rate as a percentage to two decimal places.
The required rate of annual decay rate is given as 11.70%.
Given that,
The half-life of Radium-228 is 5.75 years. What is the annual decay rate is to be determined.
The half-life of the element is defined as the time span in which the element grows or decays half of its whole composition of growth and decay.
Here,
According to the question,
[tex]1/2 = (1 - r)^{5.57}\\(1/2)^{1/5.57} = (1 -r)\\r = 0.1170\\r = 11.70%[/tex]
Thus, the required rate of annual decay rate is given as 11.70%.
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Solve the compound inequality 6b < 24 or 4b + 12 > 4.
The solution set of 'b' for the given compound inequality is
-2 < b < 4.
Given, a compound inequality 6b < 24 and 4b + 12 > 4.
Now, solving the first inequality,
6b < 24
On dividing both the sides by 6, we get
6b/6 < 24/6
b < 4.
Now, solving the second inequality,
4b + 12 > 4
On subtracting 12 from both the sides, we get
4b + 12 - 12 > 4 - 12
4b > -8
On dividing both the sides by 4, we get
4b/4 > -8/4
b > -2.
So, the solution set of b to satisfy the compound inequality be,
greater than -2 and less than 4 i.e.
-2 < b < 4.
Hence, the solution set of 'b' is -2 < b < 4.
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Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0
The equations that is true for the values x = -2 and x = 2 is x² – 4 = 0 and 4x² = 16.
Equations:
Equation is an an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations.
For example, 3x² − 2x + 9 is an algebraic expression.
Given,
Here we have the following equations
x² – 4 = 0
x² = –4
3x² + 12 = 0
4x² = 16
2(x – 2)² = 0
Now, we need to find which of these equations are tur for the values x = -2 and x = 2.
In order to find the true equation, we have to apply the given values on each of these to find which one is correct,
When x = 2 then,
(2)² – 4 = 0 => 4 - 4 = 0 (True)
(2)² = –4 => 4 ≠ -4 (Not true)
3(2)² + 12 = 0 => (3x4) + 12 = 0 => 12 + 12 = 0 => 24 ≠ 0 (Not true)
4(2)² = 16 => (4 x 4) = 16 => 0 = 0 (True)
2(2– 2)² = 0 => 2(0) = 0 = 0 = 0 (True)
Similarly, when we apply the value of x = -1, then we get,
(-2)² – 4 = 0 => 4 - 4 = 0 (True)
(-2)² = –4 => 4 ≠ -4 (Not true)
3(-2)² + 12 = 0 => (3x4) + 12 = 0 => 12 + 12 = 0 => 24 ≠ 0 (Not true)
4(-2)² = 16 => (4 x 4) = 16 => 0 = 0 (True)
2(-2– 2)² = 0 => 2(-4)² = 0 => 32 ≠ 0 = 0 (Not true)
Therefore, the resulting equations are x² – 4 = 0 and 4x² = 16.
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