Answer:
1.8=100x+b
Step-by-step explanation:
The formula y = mx + b sometimes appears with
different symbols.
For example, instead of x, we could use the
letter C. Instead of y, we could use the letter F.
Then the equation becomes
F = mC + b.
All temperature scales are related by linear
equations. For example, the temperature in
degrees Fahrenheit is a linear function of degrees Celsius.
Water freezes at: 0°C, 32°F
Water Boils at: 100°C, 212°F
You want it put edging around a rectangular flower garden that is 15 feet long and 12 feet wide. The edging comes in 3 foot pieces. How many pieces of edging do you need to buy
Answer:
18 pieces are needed
Step-by-step explanation:
Edgings are put all around the rectangular flower garden. So we need to know the perimeter (sum of all sides) of the rectangle. The formula is:
Perimeter of Rectangle = 2(Length + Width)
Given,
Length = 15
Width = 12
So,
Perimeter = 2(Length + Width)
Perimeter = 2(15 + 12)
Perimeter = 2(27)
Perimeter = 54
So, we need to cover 54 feet. Each edging is 3 feet in length, so 54 feet will be covered by:
54/3 = 18 edgings
What is the greatest common factor of 88 and a 121
Answer: 11
Step-by-step explanation: The factors of 88 are 1,2,4,8,11,22,44,88; The factors of 121 are 1,11,121.
Final answer:
To find the greatest common factor (GCF) of 88 and 121, determine the common factors through their prime factorizations, which results in 11 as the GCF.
Explanation:
The greatest common factor (GCF) of 88 and 121 can be found by determining the largest number that can evenly divide both numbers. To find the GCF:
Find the prime factorization of both numbers: 88 = 2 x 2 x 2 x 11 and 121 = 11 x 11.Identify the common factors: In this case, the common factor is 11.Therefore, the greatest common factor of 88 and 121 is 11.A library has 70 books about George Washington Carlo has read 14 of the books. What fraction of the books about George Washington has Carlo read?
Answer:
14/70 or 1/5
Step-by-step explanation:
Final answer:
Carlo has read 14 out of 70 books about George Washington.
Explanation:
To find the fraction of the books about George Washington that Carlo has read, we need to divide the number of books Carlo has read by the total number of books about George Washington in the library.
Carlo has read 14 books and there are 70 books about George Washington, so the fraction of books Carlo has read is 14/70.
Which fraction is equal to one third
Answer:
2/6, 3/9, 4/12 ...
Step-by-step explanation:
We can find equivalent fractions to 1/3 by multiplying the numerator, or top number, and the denominator, or bottom number, by the same factor.
Generating Equations and Inequalities
Answer:
C = (5/9)(F-32)
Step-by-step explanation:
F = (9/5)C + 32 (subtract 32 from both sides)
F - 32 = (9/5)C (multiply both sides by 5/9 and rearrange))
C = (5/9)(F-32)
F = 9/5·C + 32
5F = 9C + 32·5
9C = 5F - 5·32
9C = 5(F - 32)
C = 5(F - 32)/9
5. How many more minutes are there in March than in April?
A) 720 B) 1440 C) 2160 D) 2880
Answer:b
Step-by-step explanation: because if you subtract 44,640 minus 43,200 which equal 1440
44,640-43,200=1,440
Answer: B) 1440
Step-by-step explanation:
March: 44,640 Minutes
April: 43,200 Minutes
Subtract 44,640-43,200=1440
21x+7y=42 and -5x+5y=10
Find the solution to the system of equations
Answer:
x=1y=3
Step-by-step explanation:
i just got it right
x=1 and y=3 are solutions of the system of equations
The given system of equations are
21x+7y=42 .....(1) and
-5x+5y=10....(2)
Multiply equation (1) with 5 and equation 2 with 7 to eliminate y
105x+35y=210..(3)
-35x+35y=70...(4)
Subtract equation 4 from 3
105x+35y+35x-35y=210-70
140x=140
Divide both sides by 140
x=1
Now plug in x value in equation 1
21+7y=42
7y=42-21
7y=21
Divide both sides by 7
y=3
Hence, the solutions of the system of equations are x=1 and y=3
To learn more on Equation:
https://brainly.com/question/10413253
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Which expression is equivalent to the given expression? (3m-4)^3(3m^5)
Answer: The answer is D
Answer:
Step-by-step explanation:
Hope this Helps ;)
Help me plz can’t figure this one out
Answer:488
Step-by-step explanation:
1464 divided by 3=488
Which of the following expressions represents the solution to -2x ≤ -10?
A)x ≤ -5
B)x ≥ -5
C)x ≥ 5
Final answer:
The solution to the inequality -2x ≤ -10 is found by dividing both sides by -2 and reversing the inequality sign, resulting in C) x ≥ 5.
Explanation:
The expression that represents the solution to -2x ≤ -10 is found by dividing both sides of the inequality by -2. When dividing by a negative number, we must reverse the inequality symbol. Thus, dividing both sides by -2 would give us x ≤ 5. However, since the inequality symbol was reversed, the correct solution is x ≥ 5.
Here are the steps broken down:
Starting with -2x ≤ -10.
Dividing both sides by -2 gives x ≥ 5.
Therefore, the correct answer is C) x ≥ 5.
1. Use the formula S(d)=√9.8d to calculate the estimated speed, in meters per second, of a tsunami if the disturbance occurred at an ocean depth of 4,500 meters.
2. Convert the answer from question one from meters per second to kilometers per hour. (Hint: A meter per second is equal to 3.6 kilometers per hour.)
Answer: 1. 210 meters per second .
2. 756 kilometers per hour.
Step-by-step explanation:
Given : The formula [tex]S(d)=\sqrt{9.8d}[/tex] to calculate the estimated speed, in meters per second of a tsunami.
1. If the disturbance occurred at an ocean depth of 4,500 meters.
Then put d= 4500 in the above formula , we get
[tex]S(d)=\sqrt{9.8\times4500}[/tex]
[tex]S(d)=\sqrt{44100}=\sqrt{21\times21\times10\times10}\\\\=\sqrt{210^2}=210[/tex]
Hence, if the disturbance occurred at an ocean depth of 4,500 meters , the estimated speed would be 210 meters per second .
Also, A meter per second is equal to 3.6 kilometers per hour.
i.e. 1 meter per second = 3.6 kilometers per hour
Then by unitary method ,
210 meters per second =[tex]3.6\times210[/tex] kilometers per hour
=756 kilometers per hour.
[(5.5+3)×7]+[(12÷3)×2]-4.5
Answer:
63
Step-by-step explanation:
[(5.5+3)*7]+[(12/3)*2]-4.5
[8.5*7]+[4*2]-4.5
59.5+8-4.5
67.5-4.5
63
Simplify
5. (3+2i) (2-1)
Answer:
3+2i
Step-by-step explanation:
(3+2i)(1)
3+2i
50 point for this question:
Find values of a and b that make the following equality into identity:
Answer:
1) The values of 'a' and 'b' are [tex]$ \frac{3}{4} $[/tex] and [tex]$ \frac{3}{4} $[/tex] respectively.
2) The values of 'a' and 'b' are '3' and '-3' respectively.
Step-by-step explanation:
1) Given: [tex]$ \frac{3x}{(x - 2)(3x + 2)} = \frac{a}{x - 2} + \frac{b}{3x + 2} $[/tex]
We solve this by partial fraction method.
Taking LCM in the RHS we get,
[tex]$ \frac{3x}{(x - 2)(3x + 2)} = \frac{a(3x + 2) + b(x - 2)}{(x - 2)(3x + 2)} $[/tex]
[tex]$ \implies 3x = a(3x + 2) + b(x - 2) $[/tex]
To find the value of 'a', substitute x = 2. This would make 'b' vanish leaving an equation with 'a'.
[tex]$ \therefore 3(2) = a(3.2 + 2) + b (2 - 2) \implies 6 = a(8) $[/tex]
[tex]$ \implies a = \frac{-2}{3} $[/tex]
Now, Substitute [tex]$ x = \frac{-2}{3} $[/tex] to solve for 'b'.
[tex]$ \implies 3(\frac{-2}{3}) = a (3.\frac{-2}{3} + 2) + b(\frac{-2}{3} -2) $[/tex]
[tex]$ \implies -2 = b \frac{-8}{3} $[/tex]
[tex]$ \implies b = \frac{3}{4} $[/tex]
Therefore, a = [tex]$ \frac{3}{4} $[/tex] and b = [tex]$ \frac{3}{4} $[/tex]
2) Given [tex]$ \frac{3}{x^2 - 5x + 6} = \frac{a}{x - 2} + \frac{b}{x - 3} $[/tex]
We follow the same procedure as (1).
Taking LCM we get
[tex]$ \frac{3}{x^2 - 5x + 6} = \frac{a (x - 3) + b(x - 2)}{(x^2 - 5x + 6)} $[/tex]
[tex]$ \implies 3 = a(x - 3) + b(x - 2) $[/tex]
Substituting x = 2, we get:
3 = a(-1) [tex]$ \implies a = -3 $[/tex]
Also, Substituting x = 3, we get:
3 = b(1)
[tex]$ \implies b = 1 $[/tex]
Therefore, the values of a and b are -1 and 1 respectively.
Helpppoopo please please
Answer:
51.5 therms of natural gas
Step-by-step explanation:
19.57/0.38= 51.5
Answer: 51.5 therms
Step-by-step explanation:
$0.38 per therm
amount of money paid/rate=therms used
19.57/0.38=51.5
The quadratic function
R(p)= -5.2p^2 + 65p - 75
gives the amount of revenue R(p) in dollars generated by a product priced at p dollars.
Question: What is the maximum revenue that can be generated?
Answer:
The maximum revenue that can be generated is $128.13
Step-by-step explanation:
we have
[tex]R(p)=-5.2p^{2}+65p-75[/tex]
where
R(p) represent the amount of revenue in dollars
p the product price
This is a vertical parabola open downward
The vertex represent a maximum
so
The y-coordinate of the vertex represent the maximum revenue that can be generated
Solve by graphing
using a graphing tool
Graph the quadratic equation
The vertex is the point (6.25,128.125)
see the attached figure
the y-coordinate of the vertex is 128.125
therefore
The maximum revenue that can be generated is $128.13
When mack babysits he charges $12 an hour plus bus fare. The amount Mack is paid depends on the number of hours he babysits
Question is Incomplete, Complete question is given below.
When mack babysits, he charges $12 an hour plus bus fare. The amount mack is paid depends on the number of hours he babysits.
1. If mack babysits for 1 hour and the bus fare is $2.50, how much will mack be paid?
2. If mack babysits for 4 hours and the bus fare is $2.50, how much will mack be paid?
Answer:
1. Total Amount mack will be paid for 1 hour is $14.50.
2. Total Amount mack will be paid for 4 hours is $50.50.
Step-by-step explanation:
Given:
Charges of mack for 1 hour = $12
bus fare = $2.50
We will fist find for part 1.
1) Given:
Number of Hours= 1
Charges of mack for 1 hour = $12
bus fare = $2.50
we need to find the amount he get paid for it can be calculated by Multiplying Charges of mack for 1 hour with number of hours and then adding bus fare
Total amount he will get paid = Charges of mack for 1 hour × Number of Hours + Bus fare = [tex]\$12\times 1 +\$2.50= \$14.50[/tex]
Hence, Total Amount mack will be paid for 1 hour is $14.50.
Now we will find for part 2.
2) Given:
Number of Hours= 4
Charges of mack for 1 hour = $12
bus fare = $2.50
we need to find the amount he get paid for it can be calculated by Multiplying Charges of mack for 4 hour with number of hours and then adding bus fare
Total amount he will get paid = Charges of mack for 1 hour × Number of Hours + Bus fare = [tex]\$12\times 4 +\$2.50= \$50.50[/tex]
Hence, Total Amount mack will be paid for 4 hour is $14.50.
In a video game, Conner scored 25% more points than Max. If c is the number of points that Conner scored and m is the number of points that Max scored, which equations are correct?
Select all that apply
A. c - m + 0.25
B. c = (1 + 0.25)m
C. c = 1.25m
D. c = m + 0.25m
E. c = m + 25
Please explain to me why the correct answers is B, C and D. What kind of math problem is this as well?
The correct choices B, C, and D all represent the equation that Conner scored 25% more points than Max, using algebraic terms to demonstrate this proportional increase. Choices B and C show the total score as a multiple of Max's score, while D adds an extra 25% to Max's score.
Explanation:The problem presented is an algebraic representation of a proportional relationship. Given that Conner scored 25% more points than Max, we can express this relationship in different but equivalent equations. Choices B, C, and D effectively communicate that Conner's score, c, is increased by 25% more than Max's score, m.
Choice B is written as c = (1 + 0.25)m, which represents a 100% (which is 1 in decimal form) of Max's score plus an additional 25%. Choice C simplifies this to c = 1.25m, which is another way to represent a 25% increase on Max's score. Choice D is expressed as c = m + 0.25m which sums Max's score with another 25% of it. Each of these equations correctly translates the scenario into a mathematical expression.
Multiply or divide (-2)(+3)
Multiplication: (-2)(3) = -6
Division: (-2)/(3) = [tex]-\frac{2}{3}[/tex] or -0.67
the cube root of 7201 is between which pair is integers? 84 and 85 , 36 and 37 , 24 and 25 , 19 and 20
Answer:
19 and 20
Step-by-step explanation:
19^3 = 6859
20^3 = 8000
7201 is between the two numbers.
hellppp
step for step please
Answer:
[tex]\left\{\begin{array}{l}x\ge 0\\ \\y\ge 0\\ \\x+y\ge 20\\ \\3.5x+5y\le 80\end{array}\right.[/tex]
Step-by-step explanation:
Let x be the number of small candles and y be the number of large candles.
Santhi needs to buy at least 20 candles, so
[tex]x+y\ge 20[/tex]
Small candles:
Cost of 1 small candle = $3.50
Cost of x small candles = $3.50x
Large candles:
Cost of 1 large candle = $5.00
Cost of y large candles = $5.00y
Total cost of all candles:
$3.50x + $5.00y
Thus,
[tex]3.5x+5y\le 80[/tex]
Using Desmos, plot the system of two inequalities:
[tex]\left\{\begin{array}{l}x+y\ge 20\\ \\3.5x+5y\le 80\end{array}\right.[/tex]
Your math teacher announces a 50 point quiz tomorrow. There will be a total of 15 questions. Some of the questions will be worth 4 points and some of the questions will be worth 3 points. Use a system to find out how many 4 points questions there will be
Answer:
3x + 4y = 50
x + y = 15
Five 4-point questions
Step-by-step explanation:
Change x + y = 15 to determine what y equal
y = (-x) + 15
Plug it in the original equation using the substitution method
3x + 4(-x + 15) = 50
3x - 4x + 60 = 50
Combine like terms:
-x = -10, two negative signs equals a positive. x = 10
Plug 10 in for x in the equation x + y = 15
10 + y = 15
Subtract 10 from both sides
y = 5
8. 2x2 + 3x when x = 3
Answer:
27
Step-by-step explanation:
Substitute x = 3 into the expression
2(3)² + 3(3) = 2(9) + 9 = 18 + 9 = 27
Answer:
13
Step-by-step explanation:
2×2=4+3(3)=4+9=13
in a state with a population of 2000000 the average vitizen spends 6000 on housing each year. what is the total spent on housing for the state? express answer in a scientific notation
Answer:
[tex]1.2 \times 10^{10}[/tex] spents on housing for each year for the state.
Step-by-step explanation:
Given:
Population of State = 2000000
Average Citizen spends on housing = 6000
We need to find total spent on housing for the state.
For finding total spent on housing for state we need to multiply Population of state with average citizen spends on housing.
Total spent on housing for state = Population of State [tex]\times[/tex] Average Citizen spends on housing = [tex]2000000 \times 6000 = 12000000000[/tex]
Now expressing the above in scientific notation we get;
Total spent on housing for state = [tex]1.2 \times 10 ^{10}[/tex]
Final answer:
The total amount spent on housing for a state with a population of 2,000,000, where each spends $6,000 annually, is $12,000,000,000, which is expressed in scientific notation as[tex]$1.2 x 10^{10}.[/tex]
Explanation:
The question asks us to calculate the total amount spent on housing for a state with a population of 2,000,000, where the average citizen spends $6,000 on housing each year. To find the total, we multiply the average spending per citizen by the total number of citizens, which is 2,000,000 citizens times $6,000 per citizen. The calculation is:
2,000,000 x $6,000 = $12,000,000,000
To express this astronomical sum of money in scientific notation, we convert the standard form into a product of a number between 1 and 10 multiplied by a power of 10. So:
$12,000,000,000 = [tex]$1.2 x10^{10}[/tex]
which of the following expressions has a sum of 57/100
the equation that can be used to solve for x is
Answer:
see explanation
Step-by-step explanation:
Since l and m are parallel lines, then
11x - 47 = 6x - 2 ( corresponding angles )
Solve this equation for x
Subtract 6x from both sides
5x - 47 = - 2 ( add 47 to both sides )
5x = 45 ( divide both sides by 5 )
x = 9
Marsha counted 24 birds at the wildlife refuge, and Aamir counted 86 birds. What is the ratio of Aamir’s Burge to Marshall’s birds in simplest form?
Answer:
43:12
Step-by-step explanation:
Answer:
3 7/12 or 43/12
Step-by-step explanation:
It's just 86/24
x+y-5z=24,y+z=1,z=-4
Answer:
x=39, y = 5 and z = -4.
Step-by-step explanation:
x + y - 5z = 24
y + z = 1
z = -4
Plug z = -4 into the second equation:
y + -4 = 1
y = 5.
Now plug x = -4 and y = 5 into the first equation:
x + 5 - 5*4 = 24
x = 24 - 5 + 20
x = 39.
Part A
Describe the type of function shown in the graph.
Part B
What are the standard form and the factored form of the function?
Answer:
A
[tex]F(x)=-\frac{1}{1500}(x+20)(x+5)(x-15)[/tex]
B
[tex]=> F(x)=-\frac{x^3}{1500}-\frac{x^2}{150}+\frac{11x}{60}+1[/tex]
Step-by-step explanation:
Function and its graphs
Part A
The graph shown in the image corresponds to a cubic function because of its classical infinite branches, three real roots and two extrema values
Part B
Knowing the value of the three roots x=-20, x=-5, and x=15 we can express the cubic function in factored form:
[tex]F(x)=C(x+20)(x+5)(x-15)[/tex]
The value of C will be determined by using any particular point from the graph. Let's use (0,1)
[tex]1=C(0+20)(0+5)(0-15)[/tex]
[tex]C=-\frac{1}{1500}[/tex]
Replacing, we find the factored form of the function
[tex]F(x)=-\frac{1}{1500}(x+20)(x+5)(x-15)[/tex]
The standard form demands to expand all the products and simplify
[tex]F(x)=-\frac{1}{1500}(x^3+10x^2-275x-1500)[/tex]
[tex]=> F(x)=-\frac{x^3}{1500}-\frac{x^2}{150}+\frac{11x}{60}+1[/tex]
Bentley walked 9 miles in 6 hours. What was his walking rate in miles per hour?
Answer:
1.5 miles per hour
Step-by-step explanation:
9 (1/6) = 1.5
Answer:
1.5 miles per hour
Step-by-step explanation:
In the attached file