Answer:
La desigualdad para determinar el número de empleados a tiempo completo que Tom debe programar para que sus empleados trabajen al menos 260 horas a la semana es 20+40*n ≥ 260. Resolviendo al menos 6 empleados deben trabajar a tiempo completo.
Step-by-step explanation:
Una inecuación es una desigualdad entre letras (incógnitas) y números relacionados por operaciones aritméticas. Su conjunto solución es el conjunto de números reales que la satisfacen. En una desigualdad, dos expresiones algebraicas están conectadas a través de los signos: mayor que >, menor que <, menor o igual que ≤ y mayor o igual que ≥.
Tom tiene un empleado a tiempo parcial que trabaja 20 horas a la semana. Cada empleado a tiempo completo trabaja 40 horas a la semana. Tom debe programar para que sus empleados trabajen al menos 260 horas a la semana.
Sabiendo que x representa la cantidad de trabajadores a medio tiempo y n la cantidad de trabajadores a tiempo completo, entonces 20*x+40*n representa la cantidad de horas que todos los empleados trabajan semanalmente. Si los empleados trabajen al menos 260 horas a la semana, esto significa que la cantidad de horas que todos los empleados trabajan a la semana debe ser mayor o igual a 260 horas. Entonces:
20*x+40*n ≥ 260
Si Tom tiene un empleado a tiempo parcial, entonces la cantidad de trabajadores a medio tiempo x debe tener un valor de 1. Entonces:
20*1+40*n ≥ 260
20+40*n ≥ 260
40*n ≥ 260 -20
40*n ≥ 240
n ≥ 240 ÷40
n ≥ 6
Entonces 6 empleados o más deben trabajar a tiempo completo.
For what values of m does the graph of y = 3x2 + 7x + m have two x-intercepts?
m greater-than StartFraction 25 Over 3 EndFraction
m less-than StartFraction 25 Over 3 EndFraction
m less-than StartFraction 49 Over 12 EndFraction
m greater-than StartFraction 49 Over 12 EndFraction
Answer: m> 49/12
Step-by-step explanation:
The graph is a parabola . The Parabola with minimum point. So, Substitute the minimum value in the equation. Thus the graph of have two x-intercepts when.
The graph is a parabola with the minimum where x= -b/2a = -7/6.
To have 2 x intercepts, the value at the minimum point must be less than 0, i.e.
3(49/36) - 49/6 + m < 0
49/12 - 49/6 + m < 0
(49-98)/12 + m < 0
-49/12 + m < 0
m < 49/12
The values of m < 49/12 the equation of the function y = 3x² + 7x + m have two x-intercepts option (C) m < 49/12 is correct.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
It is given that:
The equation of the graph:
y = 3x² + 7x + m
If the above quadratic function has two x-intercepts that means:
D > 0
b² - 4ac > 0
On comparing:
a = 3
b = 7
c = m
7² - 4(3)(m) > 0
49 - 12m > 0
12m < 49
m < 49/12
Or
m ∈ (-∞, 49/12) for which graph of a function have two x-intercepts
Thus, the values of m < 49/12 the equation of the function y = 3x² + 7x + m have two x-intercepts option (C) m < 49/12 is correct.
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Writing proportional equations from tables
CCSS.Math: 7.RP.A.2
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The following table shows a proportional relationship between j and m?
j
m
4
3
12
9
20
15
Write an equation to describe the relationship between j and m.
Answer:
4+12+20=j
3+9+15=m
j(answer) + m(answer)
Step-by-step explanation:
i don't really understand this??....
Answer:
Part 1
its asking you to find the slope of the given lines by using the points that they have plotted on the lines
first you need to figure out what the points are, then insert it into the formula
the formula for this would be [tex]\frac{Y2- Y1}{X2-X1}[/tex]
Part 2:
its asking you to find the slope using the points that are written in each box
again, just substitute it into the formula
the formula for this would be [tex]\frac{Y2- Y1}{X2-X1}[/tex]
1. James wants to buy snacks for his friends for a movie. The cost of one box of popcorn
is $3 and the cost of one soda is $2 but James only has $15 to spend. Write and
equation to represent this situation. Remember to define the variables!
2. If James buys 3 boxes of popcorn how many sodas can he buy?
Answer:
1.) 15-3-2=x
2.) He can buy 3 sodas
Step-by-step explanation:
1.) 15 is how much he has, -3 is the price of the popcorn, -2is the price of the soda. =x is what needs to be solved in the equation (its 10 if you need the answer)
2.) He can buy 3 sodas because 3 boxes of popcorn is $9 since one box is $3, he has $15 you take away $9 and you are left with $6 and 6 divided by 2 is 3.
Can someone help me with number 12 ASAP please
Answer:
[tex]x > 1[/tex]
x is greater than 1
1/4+1_4+1/4= what
pls help fast
Answer:
3/4
Step-by-step explanation:
Last year, 320 students were members of Pine Hill Middle School clubs. This year, there was a 20% increase in memberships. How many students are members this year?
Answer:
384
Step-by-step explanation:
No. of students in the club last year = 320
No. of students in the club this year increased by 20%
To find the actual increase, 20% is multiplied by the number of students in the club last year which is 320 and to find the number of students in the club this year add the answer to 320 (the number of students in the club last year)
That is,
= 20% * 320
= 20/100 * 320
= 64
Finding the number of students in the club this year
320 + 64 = 384 students
NOTE : Increase means addition that is why the number of students in the club last year is added to the actual increase
whats 105 to the power of 20 pls help its big question
Answer:
lol is this possible i tried doing it but couldnt haha i googled it and well it said 2.6532977e+40
Step-by-step explanation:
Answer:
2.65329771×10 to the power of 40
Step-by-step explanation:
Use scientific notation to get the simplest answer
Julio walks 3 ½ miles in 1 ¼ hours.
Answer:
so whats the question??
Step-by-step explanation:
A record store was selling 3 used CD's for $12.51.
Online you
could buy 5 used CD's for $20.70.
Which place has a lower unit price?
Answer:
Answer: Online
Step-by-step explanation:
Find the unit price
(multiply 12.51 and 20.70 by 100 to make it easier to divide)
12.51 divided by 3 = 417
20.70 divided by 5 = 414
Hope this helps!
(11x - 1)
(20x – 3)
151°
Answer:
x= 1.6 degrees
Step-by-step explanation:
to find the missing angle 180 degrees - 151 degrees
29° is the missing angle at the bottom ryt of the triangle.
all angles in triangle add upto 180°
so, 20x-3°+11x-1°+29°= 180°
31x=180°-25°
x= 1.6°
A polygon with three edges and three vertices is called a triangle.
x=1.6° is its value.
Explain about the triangle?Based on the lengths of its sides, triangles can be categorized into one of three groups: Scalene. Isosceles. Equilateral.
The trigon, a 3-sided polygon, is sometimes (though not often) referred to as a triangle. Every triangle has three sides and three angles, some of which might be the same.
The triangle's angles are created by joining its three sides end to end at a single point. The sum of the three angles of the triangle is 180degrees.
To identify the omitted angle between 180 and 151 degrees
The triangle's bottom right corner lacks a 29° angle.
triangle's angles sum up to 180°
so, 20x-3°+11x-1°+29°= 180°
31x=180°-25°
x =1.6 degree
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Identify the slope and y- intercept of the linear equation.
y = -2x + 5
Slope:
y-intercept:
Answer:
Slope= -2
y-intercept= 5
Step-by-step explanation:
∠A is 81 degrees and ∠B is 67 degrees. If side a is 34 units long, approximately how long is side b?
Answer:
46 units i think... not sure tho
Step-by-step explanation:
The daily cost of hiring a plumber, y, to work x hours on a repair project can be modeled using a linear function. The plumber works a maximum of 8 hours per day.
For one day a work, what is the range of the function for this situation?
multiply the polynomials below. SHOW ALL WORK
(x−7)(2x−5)
Select all of the expressions that are equivalent to 4v5.
Answer:
The answer is A and D.................................
If a chicken has 4kg of corn, how many days will it last it if it eats 1/8 of a kg of corn a day.
I need full working
Answer:
32 days
Step-by-step explanation:
x-6=8 what’s the answer please it’s 9th grade algebra
Answer:14
Step-by-step explanation:
X-6=8
+6. +6
X=14
Jonathan has a board that is 12 1/2 feet long that he needs cut into 5 equal pieces how long should each piece be
Answer:
2 1/2 per piece
Step-by-step explanation:
solve the equation
v-9 =14
Answer:
the answer for this euqation is 23
Step-by-step explanation:
Answer:
or,v=14-9 ...v=5,so v=5
What is 3x+7x=9-18? Math is confusing once you get into 7th grade.
Answer:
x-(-0.9)
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation::3*x+7*x-(9-18)=0
Solve::10x+9 = 0
Subtract 9 from both sides of the equation::10x = -9
Divide both sides of the equation by 10::x = -9/10 = -0.900
Answer:
x = -0.9Step-by-step explanation:
3x+7x=9-18
10x = -9
x = -9 / 10
x = -0.9
List the names and measures for pairs of alternate Interior angles. Group them together. Then list the names and measures for pairs of alternate
exterior angles.
Answer:
The two pairs of alternate interior angles are CHG and HGB and DHG and HGA.
mCHG = mHGB = 48.81°
mDHG = mHGA = 131.19°
The two pairs of alternate exterior angles are EHC and BGF and EHD and AGF.
mEHC = mBGF = 131.19°
mEHD = mAGF = 48.81°
Step-by-step explanation:
STRAIHGT FROM PLATO BOOOOIIIIII
What is the solution to the linear equation?
4b + 6 = 2 – b + 4
Answer:
b = 0
Step-by-step explanation:
Subtract 6 from both sides:
4b = 2 - b - 2
Subtract 2 from two, and get 0.
4b = -b
this means that the only possible case where the equation is satisfied is when b = 0, because -0 is 0, and 4x0 is still 0.
Pls help due tonight, I just found the assignment !
Will give brainly for the correct answer
Answer:
1) slope is -1/3
2) slope is 3 or 3/1
3)slope is -3/2
4)slope is3/2
5)slope is 5/3
6)slope is 7/3
Step-by-step explanation:
find the mean of the given data 8,7,5,9,6,13
The mean of the data is 8.
Mean :Given data are,
[tex]8,7,5,9,6,13[/tex]
Mean is computed as divide the sum of all data by total number of data.
Sum of all the data[tex]=8+7+5+9+6+13=48[/tex]
Number of data[tex]=6[/tex]
[tex]Mean=\frac{48}{6}=8[/tex]
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whole numbers are _____ Intergers
Answer:
I believe the answer is positive
Step-by-step explanation:
There's no specific type of integer, but whole numbers are integers but also only positive. So positive integers
I'm just gonna recheck my answers, can anyone answer for me plz:)
Step-by-step explanation:
In this question maybe we have to make equation or formulas so
A to find yellow jelly beans = 2g
B to find red jelly beans = g - 5
C to find black jelly beans = g + 4
How can you translate a verbal sentence into an algebraic equation? Explain.
Sample answer: First you should identify the , 1 of 4.
Select Choice
quantity or quantities for which you are trying to solve, and assign , 2 of 4.
Select Choice
. Then you should look for key words or phrases that can help you to determine , 3 of 4.
Select Choice
that are being used. You can then write the , 4 of 4.
Select Choice
using the numbers that you are given and the variables and operations that you assigned.
The mathematical expressions are given as
1 of 4 = 1 x 4
2 of 4 = 2 x 4
3 of 4 = 3 x 4
4 of 4 = 4 x 4
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
In the verbal sentence, the meaning of using of indicates the multiplication of numbers.
The mathematical expressions will be used as:-
1 of 4 = 1 x 4
2 of 4 = 2 x 4
3 of 4 = 3 x 4
4 of 4 = 4 x 4
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Represent the following sentence as an algebraic expression, where "a number" is the letter x. The product of 8 and a number.
Answer:
x times 8 I'm pretty sure
Solve: 3(2x + 4) = 5x - 2
Answer:
= -14
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(2x+4)=5x−2
(3)(2x)+(3)(4)=5x+−2(Distribute)
6x+12=5x+−2
6x+12=5x−2
Step 2: Subtract 5x from both sides.
6x+12−5x=5x−2−5x
x+12=−2
Step 3: Subtract 12 from both sides.
x+12−12=−2−12
x=−14