Answer:
The cost of using 18 HCF = $40.39
Step-by-step explanation:
A linear function is one that has a constant rate of change for all the values within the distribution. For a linear function, there is a constant, and that constant is known as the slope or gradient of the linear function.
Let us first calculate this constant (slope).
Let:
X₁ = 14 HCF, Y₁ = $33.79, X₂ = 27 HCF, Y₂ = $55.24, m = slope
[tex]m = \frac{Y_2-Y_1}{X_2 - X_1} \\m = \frac{55.24 - 33.79}{27-14} \\m = \frac{21.45}{13} \\m = 1.65[/tex]
at any two points on the linear function, the rate of change of the cost to HCF = 1.65
Now, Let X₃ = 18 HCF, Y₃ = cost for using 18 HCF
[tex]m = \frac{Y_3 - Y_1}{X_3-X_1} \\where\ m= 1.65\\1.65 = \frac{Y_3-33.79}{18-14}\\1.65 = \frac{Y_3 - 33.79}{4} \\6.6 = Y_3 - 33.79\\Y_3 =6.6+33.79\\Y_3 = 40.39[/tex]
Therefore, the cost of using 18 HCF = $40.39
N:B X₂ and Y₂ can also be used with X₃ and Y₃ to find Y₃. You can try it out, you should get the same result
First person with a answer is marked as the Brainliest Answer
Answer:
h(x) = x/5
Step-by-step explanation:
We want to know the value of y to satisfy the given equation. So:
[tex]6x+y=4x+11y\\\\y-11y=4x-6x\\\\-10y=-2x\\\\10y=2x\\\\y=\dfrac{2x}{10}\\\\\boxed{y=\dfrac{x}{5}}[/tex]
Hence, since h(x) returns the value of y we found before:
[tex]\boxed{h(x) = \dfrac{x}{5}}[/tex]
Compute $(\sqrt 3)^2\cdot (\sqrt 4)^3\cdot (\sqrt 5)^4$.
Answer:
\frac{x^{\frac{5}{2}}\cdot \:6y^2\sqrt[3]{y^4}}{12x^{\frac{1}{2}}\sqrt[4]{x^3}}=\frac{x^{\frac{5}{4}}y^{\frac{10}{3}}}{2}
I wrote it properly below :)
--------------------------------------------------------------------
[tex]\frac{x^{\frac{5}{2}}\cdot \:6y^2\sqrt[3]{y^4}}{12x^{\frac{1}{2}}\sqrt[4]{x^3}}=\frac{x^{\frac{5}{4}}y^{\frac{10}{3}}}{2}[/tex]
Answer:
600
Step-by-step explanation:
Find the indicated values, where g(t)=t^2-t and f(x)=1+x g(f(2)+3)
Answer:
[tex]g(f(2)+3)=30[/tex]
Step-by-step explanation:
We have the two functions:
[tex]g(t)=t^2-t\text{ and } f(x)=1+x[/tex]
And we wish to find:
[tex]g(f(2)+3)[/tex]
First, let’s find f(2) first. So, we will substitute 2 for x for f(x):
[tex]f(2)=1+(2)=3[/tex]
Hence, we can now substitute 3 for f(2):
[tex]g(f(2)+3)=g(3+3)=g(6)[/tex]
Now, we can find g(6). Substitute 6 for t for g(t):
[tex]g(6)=(6)^2-(6)=36-6=30[/tex]
Therefore:
[tex]g(f(2)+3)=30[/tex]
Johnny took a math test with 25 questions and he answered 22 questions correctly. In order to get an A, he needs to answer at least 90 percent of the questions correctly.
a. Did Johnny get an A on this math test? Explain.
b. How many questions would Johnny need to answer correctly in order to get an A?
c. On the same exam, Johnny’s friend Jessie answered four times more questions correct than incorrect. Who got a higher percentage of the test questions correct, Johnny or Jessie?
is this a multiple choice or do you have to answer them all?
Reduce 18/45 to the simplest form.
Answer: 2/5
Step-by-step explanation:
Divide the numbers by 9 which is the common multiple
18/9 = 2
45/9 = 5
2/5
In Megamind, how did Megamind trap Titan in the hologram without even fighting him?
Answer:
is tghis a joe?
Step-by-step explanation:
Answer:
with the mind on a mega
Step-by-step explanation:
What is the equation of A-line that is perpendicular to the graph of to 2/5X -1?
Answer:
y = -5/2x
Step-by-step explanation:
Perpendicular = opposite sign and reciprocal slope
-5/2x
y = -5/2x
estimate the unit rate to the nearest hundredth 2.35
Answer:
below
Step-by-step explanation:
The 5 represents the hundredth place so this means that its already rounded to the nearest hundredth.
Best of Luck!
Calificación mínima. Para obtener una A en un curso, Stephen Heasley debe
obtener una calificación promedio de 90 o mayor en cinco exámenes. Si en los
primeros cuatro exámenes de Stephen sus calificaciones son 92, 87, 96 y 77,
¿cuál es la minima calificación que Stephen puede recibir en el quinto examen
para obtener una A en el curso?
Answer:
La mínima calificación que Stephen puede recibir en el quinto examen para obtener una A en el curso es 98.
Step-by-step explanation:
La media (también llamada promedio o media aritmética) de un conjunto de datos es una medida de posición central. Es el valor obtenido al sumar todos los datos y dividir el resultado entre el número total de datos.
En este caso, el número total de datos es 5 y el valor de los datos de los cuales debes obtener el problema es 92, 87, 96, 77 y un valor desconocido de un quinto examen. Y sabes que este valor debe ser igual o mayor a 90.
Esto se expresa matemáticamente como:
[tex]\frac{92+87+96+77+nota}{5}[/tex]≥90
donde "nota" es la mínima calificación que Stephen puede recibir en el quinto examen para obtener una A en el curso.
Resolviendo:
[tex]\frac{352+nota}{5}[/tex]≥90
352+nota≥90*5
352+nota≥450
nota≥450 - 352
nota≥98
La mínima calificación que Stephen puede recibir en el quinto examen para obtener una A en el curso es 98.
Answer 1 and 2 please and thank you
Answer:
C DONT REPORT ME
Step-by-step explanation:
The school that Mike goes to is selling tickets to a play. On the first day of ticket sales the school sold 11 senior citizen tickets and 2 student tickets for a total of $41. The school took in $51 on the second day by selling 13 senior citizen tickets and 3 student tickets. What is the price each of one senior citizen ticket and one student ticket
Answer:
$3 for seinor citizen and $4 for student
Step-by-step explanation:
The price of each of one senior citizen ticket and one student ticket is $3 and $4 respectively.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The school that Mike goes to is selling tickets to a play.
Let x be the price each of senior citizen ticket and y is the price of one student ticket
The equation can be framed as:
11x + 2y = 41
13x + 3y = 51
After solving the linear equation by substitution method:
x = 3
y = 4
Thus, the price of each of one senior citizen ticket and one student ticket is $3 and $4 respectively.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
2x + y = 9
5x + 3y = 26
Answer:
7X+4y=35
Step-by-step explanation:
What are the values of a and b?
a=
b=
Answer:
The values of a and b are:
a = 2[tex]b=4[/tex]Step-by-step explanation:
Given the exponential model
[tex]y=a\cdot \:b^x[/tex]
Given the points
(0, 2) and (3, 128)
We know that the y-intercept of [tex]y=a\cdot \:b^x[/tex] is (0, a).
so
a = 2
putting x = 3, y = 128 and a = 2
[tex]y=a\cdot \:b^x[/tex]
[tex]128=2\cdot \:b^3[/tex]
Switching sides
[tex]2b^3=128[/tex]
[tex]\frac{2b^3}{2}=\frac{128}{2}[/tex]
[tex]b^3=64[/tex]
Taking the real value such as:
[tex]\mathrm{For\:}x^3=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt[3]{f\left(a\right)}[/tex]
so
[tex]b=\sqrt[3]{64}[/tex]
[tex]b=\sqrt[3]{4^3}[/tex]
[tex]b=4[/tex]
Therefore,
a = 2[tex]b=4[/tex]Please help Find the missing area.
Answer:
turn the shape into three shapes two triangle and one square then you can do it easy
Step-by-step explanation:
PLEASE HELP ME OR I WILL DIE...WHAT IS THE VALUE OF Y?!!!!!! I WILL BRAINLY, THANK FOR HELP AND FRENNNDDDDD
Answer:
Y = -128
Step-by-step explanation:
X is 36
What’s is the value of the rectangular prism if the rectangular prims has an edge length of 3/4.
Answer:
27/64 cubic inches.
Step-by-step
Given: Edge length of cube = 3/4 inch
To find: Volume of the rectangular prism
Solution:
A cube is a three-dimensional solid object which has 12 edges, 8 vertices and 6 faces.
A rectangular prism is a solid three-dimensional object which has six faces that are rectangles.
Let n denotes number of cubes inside the rectangular prism
Volume of one cube = edge)3= 3/4 3 cubic inches
So, volume of rectangular prism =volume of n cubes = 27/64 n
If you started the problem by converting 1 pound to 16 ounces, would you get the same results?
Answer:
yes
Step-by-step explanation:
you would get results bc results are results
a person runs 1/ 4/5 miles i n 1/5 of and hour how many miles they are running per hour
There are 90 dogs and 150 cats at an animal shelter. Of these animals, 9
dogs and 27 cats receive medication daily. What percentage of the
animals in the shelter receive medication daily?
A. 15%
B. 10%
C. 18%
D. 28%
Answer:
The answer is 15% because...........
Step-by-step explanation:
3/20 as a Percent is 15%
So the percentage of the animals in the shelter receiving medication daily is
= 15%
15% of the animals in the shelter receive medication daily.
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 there are 90 dogs and 150 cats at an animal shelter. Of these animals, 9 dogs and 27 cats receive medication daily.
Total animals receiving medication = 27 + 9 = 36
Total number of animals = 150 + 90 = 240
Percentage of the animals in the shelter receive medication daily -
36/240 x 100
6/40 x 100
6/4 x 10
60/4
15%
Therefore, 15% of the total animals receive medication.
To solve more questions on algebraic expressions, visit the link below -
brainly.com/question/1041084
#SPJ6
A grocery store sold 250 pounds of fruit in May. This is 5 times more than it sold in January. How many pounds of fruit did the grocery store sell in January?
Answer:
50 pounds of fruits sold January
Step-by-step explanation:
5X = 250
divude both sides by 5 to get x
x = 50
NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!
Answer:
the answer is c
Step-by-step explanation:
64, 57, 50, 43,... 50th term
Answer:
-279
Step-by-step explanation:
a=64
d=t2-t1=57-64=-7
t50=a+49d=64+49×(-7)
=64-343
=-279
The following are prices of selected digital cameras. $158, $95 ,$175, $180 ,$95,$129, $228, $300 Find the standard deviation.
Answer: 69.23
Step-by-step explanation:
Given data:
N = 8.
μ = 170.
Solution:
First we calculate for the mean.
= 158 + 95 + 175 + 180 + 95 + 129 + 228 + 300/8
= 1360/8
= 170.
Next we calculate for (xi - μ)
(158 - 170) = (-20)^2 = 400
(95 - 170) = (-75)^2 = 5625.
(175 -170 ) = (5)^2 = 25.
(180 -170) = (10)^2 = 100
(95 - 170) = (-75)^2 = 5625.
(129-170) = (-41)^2 = 1681
(228 -170) = (58)^2 = 3364.
(300-170) = (130)^2 = 16900.
Summation of (xi - μ)
= 400 + 5625 +25 + 100 + 5625 + 1681 + 3364 + 16900
= 33720.
S = Σ√(xi - μ) /n-1
= √( 33720 - 170 ) / 8-1
= √ (33550/7)
= √4792.86
= 69.23
Standard deviation is 69.3
Kaylee is a high school basketball player. In a particular game, she made some two point shots and some three point shots. Kaylee scored a total of 24 points and made 3 more three point shots than two point shots. Graphically solve a system of equations in order to determine the number of two point shots made, x,x, and the number of three point shots made, yy. How would you graph this?
Answer:
Kaylee made [tex]6[/tex] two point shots and [tex]3[/tex] three point shots.
Explanation:
You know that a two point shot would be worth [tex]2[/tex] points. You also know that a three point shot would be worth [tex]3[/tex] points, and that she scored a total of [tex]24[/tex] points. Using this information you can create the first equation:
[tex]3x+2y=24[/tex]
For the second equation, you know that Kaylee scored [tex]3[/tex] more three point shots than two point shots.
[tex]y+3=x[/tex]
You would then graph it as a system of equations. Using the graph, you can figure out the solution of the system of equations, [tex](6,3)[/tex]. For the two equations above, we made two point shots [tex]x[/tex], and we made three point shots [tex]y[/tex], so Kaylee made [tex]6[/tex] two point shots and [tex]3[/tex] three point shots.
what is 385divided by 24
Answer:
16.41 i think
Someone please help with this middle school math lol
Flo and Carl each must read a 500-page book. Flo reads one page every minute. Carl reads one page every 50 seconds. Flo starts reading at 1:00, and Carl starts reading at 1:30. When will Carl catch up to Flo?
Answer:
Carl will catch up Flo at 4:00Step-by-step explanation:
Given
Flo reads one page every minuteCarl reads one page every 50 secondsCarl starts 30 minutes lateMax number of pages = 500Let x be the number of pages each reads when Carl catches up Flo
Then we have the time for Flo and Carl
Flo:
x pages after x minutesCarl:
x pages after 30 + x*50/60 minutesThe time is same:
x = 30 + 50/60xx = 30 + 5/6xx - 5/6x = 301/6x = 30x = 6*30x = 180180 minutes = 3 hours
1:00 + 3 hours = 4:00
✭Flo and carl must read a 500 page book.
✭Flo reads one page every 1 minute (60seconds).
✭Carl reads one page every 50 Seconds.
✭Flo starts reading at 1:00.
✭Carl starts reading at 1:30.
[tex]\large\bold{\underline{\underline{To \: Find:-}}}[/tex]When will carl catch up to flo?
[tex]\large\bold{\underline{\underline{Solution:-}}}[/tex]Let Flo read certain pages when carl catches up with him. Then carl also read the same amount pages at that time.
Let the time passed be "x" minutes.
If carl Reads 1 page every 50 seconds, then 50 seconds can be written as 5/6th of a minute.
Carl's rate will be:
[tex]Carl \: \: Rate \: = \frac{Page}{Minutes} = \frac{ \frac{1}{5} }{6} = \frac{6}{5} [/tex]Now, flo got a 30 minute head start. therefore, when carl catches up, he will read certain pages at x + 30 minutes.
And the number of pages that carl read after the time he had started, that is, "x" minutes will be:
[tex] ⇒\frac{6}{5} \times x[/tex]But, the number of pages carl and flo read will be the same at that time!
[tex] ⇒\frac{6x}{5} = x + 30[/tex][tex] ⇒\frac{6x}{5} - x = 30[/tex][tex] ⇒\frac{x}{5} = 30[/tex][tex]⇒x = (30 \times 5) \: \: minutes[/tex][tex]⇒x = (150) \: \: minutes[/tex]So carl catches up after 150 minutes.
Now, 1:30 + 150 minutes = 1.5 hours + 2.5 hours = 4:00.
Carl will catch up at 4:00.Find the product. Simplify before multiplying.
15/20 x 2/5
Answer:
simplification: 3/4 x 2/5 | answer: 3/10
Step-by-step explanation:
A couple wishes to replace the carpeting in their master bedroom. Their master bedroom measures 24 ft by 16 ft. If carpeting is sold by the square yard, how many square yards of carpeting are needed
Answer:
128 yards^2
Step-by-step explanation:
So basically you just need to find the area of the room and then con vert it into yards.
24 ft x 16 ft = 384 ft^2
1 yard = 3 feet
384/3 = 128
128 yards^2
Hope this helps and have a good day!
42.7 yard² square yards of carpeting are needed to replace the carpeting in their master bedroom
3 feet = 1 yard
The length of bedroom = 24 ft. = 24 ft. * 1/3 yard per feet
Length of bedroom = 8 yards
Width of bedroom = 16 ft. = 16 ft. * 1/3 yard per feet
Width of bedroom = 16/3 yards
The area of the masters bedroom is:
Area = length * width
Area = 8 yards * 16/3 yards
Area = 42.7 yard²
Hence 42.7 yard² square yards of carpeting are needed to replace the carpeting in their master bedroom
Find out more at: https://brainly.com/question/20898622
jeremy listed five rational numbers
Answer:
what do you want me to list 5 rational numbers?
Step-by-step explanation:
If so then:
5/1, 1/2, 1.75, -2/17, 9/-11