Answer:
A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
c = child bike
a = adult bike
Child bike requirement:
4 hours build time
4 hours test time
Adult bike requirement:
6 hours build time
4 hours test time
Available Building time per week ≤ 120 hours
Available Testing time per week ≤ 100 hours
Therefore, company's work schedule is;
Building:
4c + 6a ≤ 120
Testing:
4c + 4a ≤ 100
Combined:
4c + 6a ≤ 120 and 4c + 4a ≤ 100
Building 20 Child bike and 6 adult bike in a week:
4(20) + 6(6) ≤ 120 and 4(20) + 4(6) ≤ 100
80 + 36 ≤ 120 - - - - 80 + 24 > 100
Therefore Building 20 Child bike and 6 adult bike in a week is not feasible.
Answer:
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
I took the test on FLVS
A wheelchair access ramp has an angle of elevation of 31 degrees. If the ramp reaches to the top of a 42 inch high porch, how long is the ramp?( also that's a pretty tall porch!)
Answer:
81
Step-by-step explanation:
sin 31 = 42/x
x sin 31 = 42
x = (sin 31)/42
Ummm help someone who knows what they doing
Answer:
X = - 6
Step-by-step explanation:
18x + 30 = 6(2x – 1)
Multiply 6 to 2x and - 1
18x + 30 = 12x – 6
Subtract 30 on both sides
18x = 12x – 36
Subtract 12x on both sides
6x = - 36
Divide by 6 on both sides
X = - 6
Solve each. Show all necessary work.
8. Write the equation of the line in slope-intercept form that passes through (10.21) and (15.36)
Answer:
y = 3x - 9
Step-by-step explanation:
First, find the slope using y2 - y1 / x2 - x1
36 - 21 = 15
15 - 10 = 5
15/5 = 3, so the slope (m) is 3.
Now, plug into point-slope form: y - y1 = m (x - x1)
y - 21 = 3 (x - 10)
Simplify
y - 21 = 3x - 30
y = 3x - 9
I hope this helps!!
How many complex numbers have modulus of 5?
9514 1404 393
Answer:
an infinite number
Step-by-step explanation:
In the complex plane, all of the numbers with modulus 5 form a circle of radius 5 around the origin. There are an infinite number of points on that circle.
An infinite number of complex numbers have a modulus of 5.
42kg in the ratio 1:5
Answer:
7 kg and 35kg
Step-by-step explanation:
hope it helps
whats the formula of an rectangle
Answer:
Perimeter: 2l+2w
Area: lw
Step-by-step explanation:
Let l=length, and w=width
Answer:
For Perimeter its 2times length + 2times width
and for Area its: length times width
Hope this helps :)
Which pairs of angles in the figure below are vertical angles?
Step-by-step explanation:
Vertical angles are opposite angles formed by two intersecting lines.
The only lines that fully intersect are TSI and WSN.
Now find the opposite angles that are formed by the lines TSI and WSN.
Answer:
TSN ISW and ISN and TSW
Step-by-step explanation:
2/ 7 − 2/15 = ____ solve ?
Answer:
16/105
Step-by-step explanation:
2/7 - 2/15 = 16/105
The answer is 16/105
please see the attached picture for full solution
hope it helps
Good luck on your assignment
Find the limit of the function by using direct substitution. limit as x approaches 0 of quantity x squared plus 4
Answer:
=4
Step-by-step explanation:
[tex]\lim _{x\to 0}\left(x^2+4\right)\\\mathrm{Plug\:in\:the\:value}\:x=0\\=0^2+4\\Simplify\\=4[/tex]
Lt (X^2+4)
x-0
= 0^2+4
= 4
What are the limits of mathematics?
math, a limit is defined as a value that approximates the output of the specified input value of the function. Limits are important in calculus and mathematical analysis and are used to define integrals, derivatives, and continuity. In mathematics, the limit is the value that the function approaches when the input approaches a particular value.
Boundaries are essential for calculus and mathematical analysis and are used to define continuity, derivatives, and integrals. 1a: What separates, limits, or limits the age limit for junior golf. b: I pushed her body to the limit. 2a: Geographical or political boundaries. b Plural borders: Surrounded by borders: The border to the northern border they came from-John Milton.
Learn more about limits here: https://brainly.com/question/5313449
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Definitions of ASA SAS AAS, can someone dumb it down plz?
Answer:
Hope this helps.
Step-by-step explanation:
So for ASA, the two triangles have to have two angles congruent, and in the middle of those angles, they have to have a line that's congruent.
For SAS, the two triangles have to have two lines congruent, and in the middle of those lines, they have to have an angle that's congruent.
For AAS, the two triangles have to have two angles congruent, but the line that's congruent has to be on the side, not in the middle.
Which represents a function
what is the slope of this line graphed below?
Answer:
The slope of a linear function. The steepness of a hill is called a slope. The same goes for the steepness of a line. The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.
Step-by-step explanation:
make sure you mark me as briliest
Answer:
D. 2
Step-by-step explanation:
point on the graph:
(0, -5) and (3, 1)slope is
m= (y2-y1)/(x2-x1)= (1+5)/(3-0)= 6/3= 2slope is D. 2
Pleas please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
10/9
Step-by-step explanation:
average rate of change in 0≤x≤9
=(3-(-7))/(9-0)=10/9
Answer:
The solution is 10/9
Step-by-step explanation:
Step 1: identify the right approach:
Given a function g(x) over a period of time, to find the average rate of change of g(x) over this period of time, we divide the change in g(x) by the change in x.
Step 2: Perform the calculation:
As shown in picture,
x = 0 => g(x) = -7
x = 9 => g(x) = 3
=> The change of x over interval [0, 9] is:
x_change = 9 - 0 = 9
=> The change of g(x) over interval [0, 9] is:
g(x)_change = 3 - (-7) = 10
=> The average rate (r) of change of g(x) over interval [0, 9] is:
r = g(x)_change/x_change = 10/9
Hop this helps!
:)
9. Determine the equation of a line that passes though the points (3,-4) and (6,2). [
Answer:
y=2x-10
Step-by-step explanation:
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
First, let's find what m is, the slope of the line...
The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.
For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:
So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (3,-4), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=3 and y1=-4.
Also, let's call the second point you gave, (6,2), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=6 and y2=2.
Now, just plug the numbers into the formula for m above, like this:
m=
2 - -4
6 - 3
or...
m=
6
3
or...
m=2
So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:
PLEASE I NEED IT ASAP (5 MIN) 24 POINTSSS
A 2-column table with 4 rows. Column 1 is labeled Bag Size with entries 2 pound, 6 pound, 8 pound, 12 pound. Column 2 is labeled Price with entries 4 dollars and 50 cents, 12 dollars and 30 cents, 16 dollars and 80 cents, 25 dollars and 20 cents. Darryl needs 84 pounds of coffee for his deli. Use the prices for the different-size bags shown in the table to identify which size bag he should buy, the number of bags he will need, and the total price for that number of bags. Which size bag should Darryl buy? How many of those bags will he need? What will be the total cost of the coffee?
Answer:
6 pound - first one
14 - second one
$172.20 - third one
Answer:
94.88
Step-by-step explanation:
this is the right answer
A regular hexagon and a rectangle have the same perimeter, P. A side of the hexagon is 4 less than the length, l, of the rectangle. The width of the rectangle, w, is 2 less than the length of the rectangle. What is the perimeter of the hexagon?
A rectangle with a length of l and width of w. P = 2 l + 2 w. A hexagon with side lengths of s. P = 6 s.
Answer:
The perimeter of the hexagon is equal to 36 units
Step-by-step explanation:
Let
x-------> the length side of the hexagon
L-----> the length of the rectangle
W-----> the width of the rectangle
we know that the perimeter of the hexagon is equal to the perimeter of the rectangle is equal to so
-------> equation A
-------> equation B
-------> equation C
Substitute equation B and equation C in equation A
Solve for L
Find the value of x
Find the perimeter of hexagon
Answer:
36 units
ur welcome sis
Step-by-step explanation:
Ur so worth it...ok now enough about u...help plz
Just 20 and 21...also there’s a little hint it says to draw a triangle.
Answer:
20. 13 cm
21. 12 cm
Step-by-step explanation:
20. isosceles means two sides are the same length, so you take the ten off the perimeter to get 26 remaining cm (36 -10) and you then divide that by two to get both sides of 13 cm (26 / 2)
21. because you know that if you split the triangle down the middle you get a right triangle and you can use a^2+b^2=c^2 to find the height, so we take the one side of 13 cm and half of the third side, which is 5, and you can find your answer (a^2 + 5^2 = 13^2 ---> a^2 + 25 = 169 ---> a^2 = 144 ---> a = 12)
mid point of (9,2) and (-7,-9)
The length of the unknown slide is?
Answer: 10.8
Step-by-step explanation:
We can use the Pythagorean Theorem to solve this.
a^2 + b^2 = c^2
6^2 = 36
9^2 = 81
36 + 81 = 117
square root of 117 is 10.8
Quien me puede dar.El resultado por favor 4. Resuelvo las siguientes situaciones problemáticas. En el depósito de materiales "Che rogarã" se venden tejuelones en: • paquetes de 15 tejuelones. • paquetes de 50 tejuelones. • y sueltos hasta 9 tejuelones. a. Estela pidió 138 tejuelones y le entregaron: 2 paquetes de 50, también 2 paquetes de 15 y 3 sueltos, ¿Cuántos tejuelones le entregaron a Estela? ¿Cuántos tejuelones es la diferencia para que Estela reciba todo el pedido realizado? Datos Operación Respuesta: b. Don Antonio el constructor de la comunidad pidió: 3 paquetes de 50 tejuelones, también 4 paquetes de 15 tejuelones y 7 sueltos. ¿Cuántos tejuelones llevó Don Antonio? Datos solu
Answer:
a. A Estela le entregaron (100 + 30 + 3) tejuelones = 133 tejuelones y aún necesita (138 - 133) tejuelones = 5 tejuelones para que reciba todo el pedido. b. Don Antonio llevó (150 + 60 + 7) tejuelones = 217 tejuelones.
Step-by-step explanation:
Parte a¿Cuántos tejuelones le entregaron a Estela? ¿Cuántos tejuelones es la diferencia para que Estela reciba todo el pedido realizado?
Datos
Pedido de Estela:
138 tejuelones.
Le entregaron:
Dos (2) Paquetes de 50 tejuelones.
Dos (2) Paquetes de 15 tejuelones.
Tres (3) Sueltos.
Operación
Para determinar cuántos tejuelones le entregaron a Estela, efectuamos las siguientes operaciones para determinar el número de tejuelones que le entregaron:
Dos (2) Paquetes de 50 tejuelones
2 * 50 tejuelones = 100 tejuelones
Dos (2) Paquetes de 15 tejuelones
2 * 15 tejuelones = 30 tejuelones
Es decir, multiplicamos el número de paquetes por la cantidad de tejuelones que trae cada uno.
Ahora sumamos el total de ambas cantidades y le adicionamos los tres (3) tejuelones sueltos:
(100 + 30 + 3) tejuelones = 133 tejuelones.
Pero Estela pidió 138 tejuelones, así que aún necesita:
(138 - 133) tejuelones = 5 tejuelones para que reciba todo el pedido realizado.
Respuestas
¿Cuántos tejuelones le entregaron a Estela?
A Estela le entregaron (100 + 30 + 3) tejuelones = 133 tejuelones.
¿Cuántos tejuelones es la diferencia para que Estela reciba todo el pedido realizado?
Estela aún necesita (138 - 133) tejuelones = 5 tejuelones para que reciba todo el pedido.
Parte b¿Cuántos tejuelones llevó Don Antonio?
Datos
Pedido de Don Antonio
Tres (3) paquetes de 50 tejuelones.
Cuatro (4) paquetes de 15 tejuelones.
Siete (7) tejuelones sueltos.
Operaciones
Para determinar cuántos tejuelones le entregaron a Don Antonio, debemos multiplicar el número de paquetes por la cantidad de cada uno y sumar los siete (7) tejuelones sueltos, es decir, seguimos el mismo procedimiento de la pregunta anterior.
Tres (3) paquetes de 50 tejuelones
3 * 50 tejuelones = 150 tejuelones.
Cuatro (4) paquetes de 15 tejuelones
4 * 15 tejuelones = 60 tejuelones.
Ahora sumamos estas cantidades y le adicionamos los siete (7) tejuelones sueltos:
(150 + 60 + 7) tejuelones = 217 tejuelones.
Respuesta
¿Cuántos tejuelones llevó Don Antonio?
Entonces, considerando los resultados anteriores, tenemos que Don Antonio llevó (150 + 60 + 7) tejuelones = 217 tejuelones.
Please help! Correct answer only please! I need to finish this assignment by today.
City Donuts recently sold 12 donuts, of which 6 were maple donuts. What is the experimental probability that the next donut sold will be a maple donut?
Simplify your answer and write it as a fraction or whole number.
P(maple donut) =
Answer:
1/2
Step-by-step explanation:
Out of a total 12 donuts, 6 of them are maple. Assuming this ratio stays constant, the experimental probability that the next one sold is a maple donut is 6/12=1/2. Hope this helps!
Answer:
P(maple donut) = 0.5
Step-by-step explanation:
If they sold 12 donuts, of which 6 of them were Maple Donuts.
The experimental probability of donuts sold that were maple donuts is:
[tex]\frac{6}{12}=\frac{1}{2}=0.5[/tex]
Therefore donuts sold in the future, would follow this probability, so our answer is 0.5.
The number of newly reported crime cases in a county in New York State is shown in
the accompanying table, where x represents the number of years since 2001, and y
represents number of new cases. Write the linear regression equation that represents
this set of data, rounding all coefficients to the nearest hundredth. Using this
equation, find the projected number of new cases for 2013, rounded to the nearest
whole number.
The required linear regression equation is [tex]y = 21.6x + 1093.2[/tex].
The projected number of new cases for 2013 is 1352.
Given that,
The number of newly reported crime cases in a county in New York State is shown in the accompanying table,
Where x represents the number of years since 2001, and y represents number of new cases.
We have to determine,
The linear regression equation that represents this set of data.
And Using this equation, find the projected number of new cases for 2013.
According to the question,
The line of best-fit is given by:
[tex]y = bx+a[/tex]
Assume [tex]y = kx + b[/tex]
And,
[tex]k = \dfrac{change \ in \ y} {change \ in \x }\\\\k = \dfrac{1194-1086}{5-0}\\\\k = \dfrac{108}{5}\\\\k = 21.6[/tex]
Then, pass from the point (3, 1158),
[tex]y = kx + b \\\\1158 = 21.6 \times 3 + b \\\\1158 = 64.8 +b \\\\b = 1158 - 64.8\\\\b = 1093.2[/tex]
Then ,
The projected number of new cases - the number of years since 2001
[tex]= 2013-2001 \\\\= 12[/tex]
Therefore,
[tex]y = 21.6\times 12 + 1093.2\\\\y = 259.2 + 1093.2 \\\\y = 1352.4\\\\y = 1352 \ approx[/tex]
Hence , The required linear regression equation is [tex]y = 21.6x + 1093.2[/tex].
And The projected number of new cases for 2013 is 1352.
To know about Probability click the link given below.
https://brainly.com/question/20154478
Find the value of x which would make line A parallel to line B
Answer:
35
Step-by-step explanation:
2 lines are parallel if 5x-54 was equal to 3x+16 so
5x-54=3x+16
5x-3x=54+16
2x=70
x=35
On a coordinate plane, 2 polygons are shown. Polygon A B C D has points (1, negative 6), (5, negative 6), (6, negative 2), and (0, negative 2). Polygon A double-prime B double-prime C double-prime D double-prime has points (1.5, 4), (3.5, 4), (4, 2), and (1, 2). What steps would you take to determine if these figures are similar? Check all that apply. Use a scale factor of 2. Multiply the vertices of polygon ABCD by One-half. Translate the intermediate image 4 units down. Perform two different dilations. Reflect the intermediate image.
Answer:
B and E
Step-by-step explanation:
edge 2021 (??)
What steps would you take to determine if these figures are similar? Check all that apply.
Use a scale factor of 2.
Multiply the vertices of polygon ABCD by One-half.
Translate the intermediate image 4 units down. - CORRECT
Perform two different dilations.
Reflect the intermediate image. - CORRECT
Which statements are true? SELECT ALL THAT APPLY
Answer:
C
Step-by-step explanation:
AC & BC are adjacent sides.
If two sides share a vertex, then they are adjacent sides
Choose the most appropriate name for the function described below.
The temperature of the coffee depends on the number of minutes it sits on
the desk.
Answer:
D. Temperature(minutes), or t(m)
Step-by-step explanation:
Option D is the correct answer.
( D.temperature(minutes), or t(m) )
Step-by-step explanation:
We are given that:
The temperature of the coffee depends on the number of minutes it sits on the desk.
i.e. the temperature(t) of coffee is a function of time in minutes (t).
i.e. times is a independent variable and temperature is a dependent variable.
Hence, the most appropriate name for the function described below is:
temperature(minutes), or t(m).
Hence, option D is correct.
Answer:
Temperature is the answer
Step-by-step explanation:
I got it right
Scheels received a shipment of 400 water bottles. 30% were yellow.
How many yellow water bottles were in the shipment?
_________________________________
Solution,
30% of 400
= 30/100*400
=120
120 yellow water bottles were in the shipment.
Hope it helps
Good luck on your assignment
__________________________________
1/3 of 6 1/2 multiply 3/4 (56 divide by 7) pls help me
Answer:
1/3 of 13/2 * 3/4(56/7)
= 1/3 of 13/2 * 3/4*8
= 13/6 * 3/4*8
= 13/6 *6
= 13
Hope this helps.
Find the volume of the prism.
AOC is a straight line an dab the ratio of t he angles is: AOB: BOC: =4:11 what is the size of the angle AOB?
[tex]answer \\48 \\ solution \\ let \: the \: ratios \: of \: angles \: be \: 4x \: and \: 11x \\ 4x + 11x = 180(sum \: of \: angle \: in \: straight \: line) \\ or \: 15x = 180 \\ or \: x = \frac{180}{5} \\ x = 12 \\ again \\ < aob = 4x \\ \: \: \: \: \: = 4 \times 12 \\ \: \: \: \: \: \: \: \: \: \: = 48 \\ hope \: it \: helps[/tex]
Answer:
[tex]48 \: \: degrees[/tex]
Answer B is correct
Step-by-step explanation:
We know that,
Angels in a straight line = 180°
Let's get the ratio of angles as,
[tex] 4x: 11x[/tex]
Let's solve for x now.
[tex]4x + 11 = 180 \\ 15 = 180 \\ \frac{15x}{15} = \frac{180}{15} \\ x = 12 \\ [/tex]
Angle AOB = 4x
[tex]x = 12 \\ 4x = 12 \times 4 \\ = 48[/tex]
hope this helps you.
brainliest appreciated
good luck! have a nice day!