Answer:
1) B - 5/4
2) A. The cost of delivery is $120
3) C 2
Step-by-step explanation:
1) The given parameters are;
The demarcations on the x-axis = -10 to 10
The demarcations on the y-axis = -10 to 10
The coordinates of two points on the graph are (0. 7), and (4, 2)
The slope, m, of a graph is given by the following equation;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Given that (x₁, y₁) = (0. 7) and (x₂, y₂) = (4, 2), we have;
[tex]Slope, \, m =\dfrac{2-7}{4-0} = -\dfrac{5}{4}[/tex]
The slope, m = -5/4
Taking B. as = -5/4
2. The given information are;
The nature of the cost of delivery of crushed stone = Cost of delivery, A
The function, f, for the cost of crushed stone of mass, x is the cost C, f(x) = C = m × x + A
Whereby the the graph of the total cost of the crushed stone is a straight line graph, we have;
C = m × x + A
At the y-intercept, x = 0, we have;
C[tex]_{(y-intercept)}[/tex] = m × 0 + A
C[tex]_{(y-intercept)}[/tex] = A = Cost of delivery
The points on the line are;
(0, 120) and (400, 134), therefore, the slope, m, is given as follows;
[tex]Slope, \, m =\dfrac{134-120}{400-0} = \dfrac{14}{400} = 0.035[/tex]
We have;
(C - 134) = 0.035×(x - 400)
C = 0.035·x - 14 + 134 = 0.035·x + 120
C = 0.035·x + 120
At the y-intercept, x = 0, we have;
C[tex]_{(y-intercept)}[/tex] = 0.035 × 0 + 120
C[tex]_{(y-intercept)}[/tex] = 120 = Cost of delivery
Therefore, the cost at the y-intercept = The cost of delivery = $120
3. The coordinates of points on the graph are;
(0, 1) and (2, 0)
The slope, m = (0 - 1)/(2 - 0) = -1/2
The equation of the line in point slope form is given as follows;
(y - 0) = -1/2 × (x - 2)
y = -x/2 + 1
The x-intercept occurs at the point y = 0, which is presented as follows;
0 = -x/2 + 1
-x/2 = -1
x = -1 × (-2) = 2
x = 2
Therefore, the y-intercept occurs at x = 2.
The correct option is
C 2
Which statement is true about the transformation?
An
Step-by-step explanation:
Answer:
Step-by-step explanation:
Which statement is true about the transformation? It is isometric because not all side lengths and angle measures remained the same. It is isometric because all side lengths and angle measures remained the same. It is not isometric because not all side lengths and angle measures remained the same.
Solve 7 - 2x = x - 14
Answer:
7 = x
Step-by-step explanation:
7 - 2x = x - 14
7 + 14 = x + 2x
21 = 3x
7 = x
Hope this helps!
Look at the following graph and determine the slope of the line. AY 10 7 5 3 2 1 х 1 2 3 4 5 6 7 8 9 8 9 10
Answer:
I believe the slope is 2/3.
Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of \$65$65dollar sign, 65 along with an hourly rate of \$28$28dollar sign, 28. The plumber only charges for a whole number of hours. Anand would like to spend no more than \$250$250dollar sign, 250, and he wonders how many hours of work he can afford. Let HHH represent the whole number of hours that the plumber works.
Answer:
Anand can afford is 6hoursStep-by-step explanation:
Let H represent the whole number of hours that the plumber works.
given that the fixed cost is $65
and the hourly cost is $28
also given that Anand has a total of $250 with him
the total cost can be expressed in terms of the number of hours H as
250=65+28H
we can now solve for H
250-65=28H
185=28H
divide both sides by 28
H=185/28
H=6.60714285714
"The plumber only charges for a whole number of hours."
So the number of hours Anand can afford is 6hours
Answer:
Anand can afford is 6hours
Step-by-step explanation:
Let H represent the whole number of hours that the plumber works.
given that the fixed cost is $65
and the hourly cost is $28
also given that Anand has a total of $250 with him
the total cost can be expressed in terms of the number of hours H as
250=65+28H
we can now solve for H
250-65=28H
185=28H
divide both sides by 28
H=185/28
H=6.60714285714
"The plumber only charges for a whole number of hours."
So the number of hours Anand can afford is 6hours
IF f(x) = -3x – 2; FIND f(3)
Step-by-step explanation:
f(3) = -3(3)-2
=-9-2
=-11
A scientist studied bacteria.
She placed 4 bacteria in a dish.
The population of bacteria triples every 12 hours
Which equation can be used to determine the number of bacteria, y, present after x days?
O y = 4(3)x
O y=4(6)x
O y = 4(3) 2x
O y = 4(6) 2x
Answer:
the answer to the question is A
An equation is formed of two equal expressions. The equation can be used to determine the number of bacteria, y, present after x days is y = 4(3)²ˣ.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Scientists placed 4 bacteria in a dish. The population of bacteria triples every 12 hours. Therefore, the equation that can be used to determine the number of bacteria, y, present after x days are:
y = 4(3)²ˣ
Hence, The equation can be used to determine the number of bacteria, y, present after x days is y = 4(3)²ˣ.
Learn more about Equation:
https://brainly.com/question/2263981
#SPJ2
Scientists use a temperature unit called the kelvin. For example, the boiling
point of water at sea level occurs at 373.16 kelvins, written 373.16 K. The
formula K=5/9(F + 459.67), where K is the temperature in kelvins and F is the
temperature in degrees Fahrenheit, can be used to convert Fahrenheit
temperatures to kelvins.
Answer: F = 9/5K - 459.67
y=3x y=18 solve for x
Answer:
6=x
Step-by-step explanation:
y= 18; y= 3x
18=3x
18/3 = 3x/3
6=x
Hope this helps!
A prism has a volume of 620 in.³ the length is 10 inches and the width is 2 inches what is the height of this prism?
Answer:
Volume= 620 inches3
Length= 10 inches
Width= 2 inches
Height=?
10×2×31
=620
The height is 31 inches
(3) An estate was to be divided among five people. The first person received 1/8 of the estate. The next two people each received 1/5 of the estate. The fourth person received 1/10 of the estate. What fractional part of the estate did the last person receive?
Answer:
3/8
Step-by-step explanation:
An estate has to be divided among the 5 persons.
Given that the 1st person received 1/8 of the estate,
the 2nd person received 1/5 of the estate,
the 3rd person received 1/5 of the estate,
and the 4th person received 1/10 of the estate.
Let the 5th person received the x part of the estate.
The sum of all the fractional parts of one estate equals to 1, so
[tex]\frac 1 8+\frac 1 5+\frac 1 5+\frac 1 {10}+x=1[/tex]
[tex]\Rightarrow \frac 5 8 +x =1[/tex]
[tex]\Rightarrow x =1-\frac 5 8 =\frac 3 8.[/tex]
Hence, the last person received 3/8 of the estate.
What should you add to this problem?
(2x^3 + 5x^2 + 9) / (x + 3)
A) 0x^4
B) 0x^2
C) 0x^3
D) 0x
PLEASE HELP!! Please show me work also!
Convert 1/12 ft. To inches.
Answer:
1 inch
Step-by-step explanation:
There are 12 inches in 1 foot so 1/12 is 1 inch
1 foot = 12 inches
1/12 feet = 1 inch
In a recent survey, 4 out of every 9 people surveyed said they did not like the movie. How many people would you expect to say they did not like the movie if 100 people were surveyed?
ITS SUPER EASY PLEASE HELP ITS DUE IN AN HOUR PLEASEEEEEEEEEEEEEEEEEEEEEE
Answer:
- 84
Step-by-step explanation:
I think answer to this question is -28
I hope it will be correct
helppppppp asaaaaap
8 fiction books
3 non-fiction books
4 historical drama books
Joe will randomly choose 1 book to read from the shelf. What is the probability that he will choose a non-fiction book?
a.0.8
b.0.267
c.0.2
d.0.533
Answer:
0.2 (C)
Step-by-step explanation:
8 + 3 + 4 = 15
3 divided by 15 equals 0.2.
3 represents non-fictions books and 15 represents total amount of books.
Determine the measure of ∠Z. images attached
Answer:
The answer is option DStep-by-step explanation:
Since it's a right angled triangle we can use trigonometric ratios to find the value of ∠Z
To find the value of ∠Z we use tan
We have
[tex] \tan(∠Z) = \frac{28}{25} \\ ∠Z = { \tan }^{ - 1} \frac{28}{25} \\ ∠Z = 48.239700...[/tex]
We have the final answer as
48.24°Hope this helps you
Answer:
the answer is B)41.76
Step-by-step explanation: I took the test
Ms. Howard wrote a test. Part A had true/false questions, each worth points. Part B had multiple choice questions, each worth points. She made the number of points for Part A equal the number of points for Part B. It was the least number of points for which this was possible.
Full question attached
Answer and explanation:
Since x = number of true or false questions correct
And y = number of multiple choice questions correct
And each question for x =2 points
each question for y=3 points
since she then needs a total score of more than 93 to pass, we add up total correct questions and
Inequality equation = 2x +3y >93
Difficult one for me: Geometry!
Answer:
what is your question here??
A bus arrives at Stop A every 14 minutes and a bus arrives at Stop Bevery 20
minutes. Both buses just arrived at their stops. After how many minutes will both
buses stop at the same time again?
A. 70 minutes
B. 60 minutes
C. 140 minutes
D. 280 minutes
*please help, I’ll give you brainliest :)
Answer:
b or a
Step-by-step explanation:
If bus A arrives after 14 minutes and bus B arrives after 20 minutes, then both buses will arrive at 140 minutes.
Given:
Bus A = 14 minutesBus B = 20 minutesHow to find the Least common multiple(LCM)Find the least common multiple of 14 minutes and 20 minutes
14 minutes = 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224, 238, 252, 266, 280....
20 minutes = 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220.....
Therefore, the least common multiple of 14 minutes and 20 minutes is 140 minutes.
Learn more about LCM:
https://brainly.com/question/10749076
What is the domain for a continuous function
Answer: the third one
Step-by-step explanation: C
i need help with this
Answer:
1. x=9
2. x=2
3. x=6
Step-by-step explanation:
I only know 1-3 sorry, but hope this helps
Given the replacement set {0, 1, 2, 3, 4}, solve 5x - 4 = 16.
x = 0
x=2
X = 2
x=3
X = 3
x = 4
Answer:
the answer is x=4
Step-by-step explanation:
5x-4=19
5x=16-4
5x=20
x=4. (dividing both sides by 5)
A fish was swimming LaTeX: 2\frac{1}{2}2 1 2 feet below the water's surface at 1:00 p.M. Three hours later, the fish was at a depth that is LaTeX: 3\frac{1}{4}3 1 4feet below where it was at 1: 00 p.M. What rational number represents the position of the fish with respect to the water's surface at 4:00 p.M.?
Answer:
[tex]\frac{23}{4}[/tex] feet
Step-by-step explanation:
The depth of the fish to the surface of water at 1:00 pm = 2 [tex]\frac{1}{2}[/tex] feet
= [tex]\frac{5}{2}[/tex] feet
The depth of the fish to its initial position at 4:00 pm = 3 [tex]\frac{1}{4}[/tex] feet
= [tex]\frac{13}{4}[/tex] feet
The position of the fish with respect to the water's surface at 4:00 pm = the depth of the fish to the surface of water at 1:00 pm + the depth of the fish to its initial position at 4:00 pm
= [tex]\frac{5}{2}[/tex] + [tex]\frac{13}{4}[/tex]
= [tex]\frac{10 + 13}{4}[/tex]
= [tex]\frac{23}{4}[/tex]
The position of the fish with respect to the water's surface at 4:00 pm is [tex]\frac{23}{4}[/tex] feet.
Given A(2,14), B(2,3), C(4,2) and D(14,2) what about AB?
BRAINLIST!!!!!!!!!
which one is a function???
Answer: C
i hope this helps
What is StartFraction 5 Over 8 EndFraction divided by One-fourth?
Answer:
tfollow me plzzz
Step-by-step explanation:
Al terminar una obra tres albañiles cobran $16800 y se dividen el dinero a razón 5:7:9. Calcular cuánto dinero le corresponde a cada uno. Nota: colocar las cantidades de menor a mayor separadas únicamente por comas. Recuerda que no debes colocar unidades
Answer:
$4000, $5600 and $7200
Step-by-step explanation:
Let the money be 5x,7x and 9x.
Total collection of money is $16,800
ATQ,
5x+7x+9x=$16,800
21x=$16,800
[tex]x=\dfrac{16800}{21}\\\\x=\$800[/tex]
So, the values are :
5x=5(800) = $4000
7x=7(800) = $5600
9x=9(800) = $7200
Price reduced
25% off
Now £14 625
Work out the price of the car before it was reduced.
Step-by-step explanation:
let x be the original.price
so x * 75/100= 14625
x=19500
so the price of car before it was reduced was 19500
The price of the car before it was reduced is £19500.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given that the price of the car with 25% price reduced is £14625.
Now to find the price of the car before it was reduced,
for that we will find the price of car to 100 - 25 = 75 percentage.
Let P be the price of the car before it was reduced.
P × 75 / 100 = 14625
P = 14625 × 100 / 75
P = £19500
Therefore, the price of the car before it was reduced is £19500.
To learn more about the percentage;
https://brainly.com/question/24159063
#SPJ2
What is 12% of 504 please let me know
Answer:
504 * 0.12 = 60.48
Step-by-step explanation:
math
Answer:
its 60.48
Step-by-step explanation:
Convert 12% to a decimal which is 0.12
then do the sum 0.12x504