Answer:
Step-by-step explanation:
Under her cell phone plan, Mei Mei pays a flat cost of $46 per month and $5 per gigabyte. She wants to keep her bill under $70 per month. Write and solve an inequality which can be used to determine gg, the number of gigabytes Mei Mei can use while staying within her budget.
The
inequality
for the required
condition
will be 46+5x<70 as she want to keep the
bill
under $70 according to question. Also she can buy 5 gg that is number of
gigabytes
in a month.
What is inequality?
An
inequality
in mathematics is a relationship that makes a non-equal
comparison
between two numbers or other
mathematical
expressions. It is most commonly used to compare the
sizes
of two numbers on a
number
line.
How to solve the inequality?
To solve an inequality, follow these steps: Remove fractions by
multiplying
all terms by the fractions' least common
denominator
.
Simplify
the
inequality
by combining like terms on each side.
Subtract
or add
amounts
to get the unknown on one side and the numbers on the other.
according to the question,
$46 is the fix cost that she has to pay.
$5 is the cost of gg she buys that is variable.
let us assume that x gigabytes she can buy in a month.
$70 is the maximum bill amount she want.
so the inequality would be,
46+5x<70
5x<70-46
5x<26
x<26/5
x<5.2
so, she can
buy
5 gg at
maximum
in a month with the inequality 46+5x<70 for the given conditions.
to know more about inequality,
https://brainly.com/question/28865837
#SPJ13
Max's bedroom is rectangular shaped and has a total area
of 140 square feet. If the short wall is at 10 feet long,
what is the length of the longer wall?
Answer:
14 ft
Step-by-step explanation:
Area is length times width. So, you need to find something times 10 that equals 140. Or, you could just do 140 divided by 10. 140/10=14.
Whats 5 and 6/4 ×8 and 9/6
Given that 5 6/4 x 8 9/6
Firstly, we need to convert the mixed fraction into improper fractions
[tex]undefined[/tex]Cody's rent is increasing by $51 per month starting next year. That is an increase of 15% from his current rent. Let r represent Cody's current rent. Set up an equation and solve it to fibd the value of r.
Given :
Cody's rent is increasing by $51 per month starting next year.
That is an increase of 15% from his current rent.
Let the current rent = r
so, the increase = 15% of r = 0.15r
So, the equation that represent the situation is :
[tex]0.15\cdot r=51[/tex]Solve for r :
[tex]r=\frac{51}{0.15}=340[/tex]So, the current rent = $340
The rent for the next year = 340 + 51 = $391
1. Brian's math test scorés: 86, 90, 93, 85, 79, 92, 20, 84Mean:Median:
Answer:
[tex]\begin{gathered} \text{ Mean=78.625} \\ \text{Median}=84 \end{gathered}[/tex]Step-by-step explanation:
The mean is the sum of all the values in a set of data, divided by the number of values on the list.
Hence, the mean of Brian's math test scores:
[tex]\begin{gathered} \text{ Mean= }\frac{86+90+93+85+79+92+20+84}{8} \\ \text{ Mean=}\frac{629}{8} \\ \text{ Mean=78.625} \end{gathered}[/tex]The median is the middle number in a sorted, ascending or descending, list of numbers:
Arrange the data set from smallest to largest, if the number of data set is even, the median is the average of the two middle data points in the list.
[tex]20,79,84,82,86,90,92,93[/tex]Hence, the median is the average of 82 and 86:
[tex]\begin{gathered} \text{Median}=\frac{82+86}{2} \\ \text{Median}=84 \end{gathered}[/tex]How many pounds of N are in 2 tons of manure (4.8% N)?
Answer: 192 lbs
Total weight of manure = 2 tons
Step1: we need to converts tons to pounds
1 ton = 2000 lb
2 tons = x lb
Cross multiply
2 x 2000 = 1 * x
x = 2 x 2000
x = 4000 lbs
Therefore, 2 ton of manure = 4000 lbs of manure
We have 4.8% of N in the manure
Pounds of N = 4.8/100 x 4000
Pounds of N = 0.048 x 4000
Pounds of N = 192 lbs
The pounds of N in 2 tons of manure is 192 lbs
a. What is the dependent variable?b. What is the independent variable?c. What is the slope (rate of change) of the line?d. What does this number mean for the circus?e. What is the y-intercept (initial condition) of the line? Why?
Part (a)
The dependent variable should be y for a function y=f(x).
Therefore, in this case dependent variable is profit
Part (b)
The independent variable is number of tickets sold.
Part (c)
Consider two coordinates in the graph (40,60) and (20,30).
Then, the slope will be,
[tex]\begin{gathered} m=\frac{y2-y1}{x2-x1} \\ =\frac{60-30}{40-20} \\ =1.5 \end{gathered}[/tex]Therefore, the avlue of slope is 1.5.
Part (d)
The slope is the rate of change profif with repect to the number of tickets sold for a circus.
Part (e)
From the graph, it can be noted that the y intersept is 0. Because intitial point is (0,0).
HELPPPPPPPPPPDIDEOEOEKEKMEMENDNDNDNDND
6. Taylor lost 5 chips to Minnie while playing a card game. Taylor then lost 20 chips toSally in the second round. Taylor won 10 chips from Paul in the 3rd round. Howmany chips did Taylor make or lose during these 3 rounds?
Step 1
[tex]\begin{gathered} \text{Given; } \\ \text{Taylor lost 5 chips to Minnie in round 1} \\ \text{Taylor lost 20 chips to Sally in round 2} \\ \text{Taylor won 10 chips from Paul in the 3rd round.} \end{gathered}[/tex]Step 2
Find how many chips Taylor made or lost during these 3 rounds.
[tex]\begin{gathered} \text{Taylor made 10 chips} \\ \text{Taylor lost (20+5) chips} \end{gathered}[/tex][tex]\begin{gathered} \text{Total chips made or lost= 10+(-25)} \\ \text{Total chips made or lost}=10-25=-15 \\ \text{The negative sign means he lost chips} \end{gathered}[/tex]
Since the total number of chips made or lost = -15, then Taylor lost 15 chips during the 3 rounds. If it where to be positive, then it woud have ment Taylor won some chips.
Therefore, Taylor lost 15 chips in the 3 rounds
6. Three formulas for calculating present value are shown below.Formula #1Formula #2Formula #311PV =FV(1 + i)PVOA = CG--)PVAD = CG--T) +0Ci(1 + i)nti(1+i)nt-1Part 1: Using complete sentences, explain how each of these formulas is used.Part 2: Create an example scenario for at least one of the formulas.(3
SOLUTION:
Case: Present Value
Present Value is the value of an expected income stream determined as of the date of valuation. The present value is usually less than the future value because money has interest-earning potential.
Part 1
[tex]PV=\frac{FV}{(1+i)^{nt}}[/tex]Sentence:
The Present Value is the Future Value divided by 1 is added to the rate of returns(i), raised to the number of periods(nt).
Part 2:
Present Value of Ordinary Annuity
[tex]PVOA=C[\frac{1}{i}-\frac{1}{i(1+i)^{nt}}][/tex]C is the annuity payment deposited or received at the end of each period.
i= discount or interest rate per period
n= number of periods.
The factor with interest rate and the number of periods is multiplied by annuity payments
Part 3:
Present value of Annuity due
[tex]PVAD=C[\frac{1}{i}-\frac{1}{i(1+i)^{nt-1}}]+C[/tex]C is the annuity payment deposited or received at the end of each period.
i= discount or interest rate per period
n= number of periods.
The factor with interest rate and the number of periods less 1 is multiplied by annuity payments and then added again to the annuity payments
Example of Part 1 (Present Value)
What is $56000 in 5 years time worth now, at an interest rate of 10%?
3z - 8xyz + 4x^2y^2z please solve this
Answer:
z(3-8xy+4x^2y^2)
"How can an understanding of thenumber properties help you to solveequations that represent real-worldsituations?"
Undersatanding number properties helps you to solve equation because we can transfom ans simplify any equation in a way we just have to add or rest numbers. for example when you go shopping and there is a sale or a promotion, knowing this properties would help you to get the best price.
david borrowed $4 from his mother each of the last tree months how much money does he owe his mother?
Answer:
12$
Step-by-step explanation:
He borrowed 4$ for three months.
4 x 3 = 12.
Answer = 12.
Hope this helps!
(Brainliest would mean a lot to me, thanks!)
5. Write the division problem as a
multiplication equation with a
missing factor. The find the quotient.
2.1 /0.7
The quotient in this division problem is 3,4.
What is division problem?
There are three main parts to a division problem that are -the dividend, the divisor, and the quotient. The dividend is the number that will be the divided. The division is the number of (people )that the the number is being divided by among And The quotient is the answer.
a division is a process of a splitting a specific of amount into the equal parts.
Sol-
The formula is -
a/b=?
b×?=a
We can write a division statement as a multiplication statment
12/4=3
4×3=12
Thus
The quotients in this division problem are 3 and 4.
To learn more about division problem click-
https://brainly.com/question/25289437
#SPJ9
6 3 2 1 -6 -5 4 22 10 2 3 6 13 What kind of transformation does the graph show? A) flip B) rotation 9 slide D) translation
Student did not provided any picture and became unresponsive.
There are eight turtles 15 fish and 17 pelicans what percent of the animals are pelicans
The number of animals are given as;
[tex]\begin{gathered} \text{Turtles}=8 \\ \text{Fish}=15 \\ \text{Pelicans}=17 \\ \text{Total animals}=40 \end{gathered}[/tex]The percentage that are pelicans would be calculated as follows;
[tex]\begin{gathered} \text{Percentage Pelicans}=\frac{17}{40}\times\frac{100}{1} \\ \text{Percentage Pelicans}=\frac{1700}{40} \\ P\text{ercentage Pelicans}=42.5\text{ } \end{gathered}[/tex]ANSWER:
The percentage of the animals that are Pelicans is 42.5%
Write the equation of the function shown below. Identify domain and range.
The function can be split in 2 straight lines: the first one from x = 2 to the left, and the other one from the same point to the right.
Now, a straight line equation is of the form
[tex]ax+m[/tex]Where a is the slope and m is the y-intercept.
"Left" line:
- m (y-intercept):
To find it we need to see where the line cross (intercepts) the y-axis. From the figure we can see that m = -2.
- a (slope):
To calculate the slope, we can use the following equation:
[tex]a=\frac{\Delta y}{\Delta x}[/tex]Where, chossing 2 points in the line, we have:
[tex]\begin{gathered} \Delta y=how\text{ much do we move up or down between the 2 points} \\ \Delta x=\text{ how much do we move to the right betw}en\text{ the 2 points} \end{gathered}[/tex]Look that for x we have to move to the right. Let's see a drawing:
In our case, we can take the points (0, -2) and (2, 4), so, we have:
[tex]a=\frac{\Delta y}{\Delta x}=\frac{4-(-2)}{2-0}=\frac{6}{2}=3[/tex]So, we have the equation for the "left" line:
[tex]3x-2[/tex]-"Right" line:
- m (y-intercept):
In this case we can not see where the line cross (intercepts) the y-axis. Let's leave this for latter.
- a (slope):
As we did before, we can pick to points on the line, like (3, 1) and (2, 4).
[tex]a=\frac{\Delta y}{\Delta x}=\frac{1-4}{3-2}=\frac{-3}{1}=-3[/tex]- m (y-intercept) continues:
We now know that the equation for this line is:
[tex]-3x+m[/tex]To find m, we can pick one single point and solve for that variable. For example, taking the point (2,4), we have:
[tex]\begin{gathered} y=ax+m \\ y=-3x+m \\ 4=-3\cdot(2)+m \\ 4=-6+m \\ 4+6=m \\ 10=m \end{gathered}[/tex]And so, for the right line, we have:
[tex]-3x+10[/tex]Finally, the equation of the function can be written as:
[tex]f(x)=\begin{cases}3x-2\text{ if x }\leq\text{ 2} \\ -3x+10\text{ if x }\ge\text{ 2}\end{cases}[/tex]Now, the domain of the function is the set of points (or numbers) for which the function has values. The set of departure. In this case, all the numbers can be "trasnformed" or mapped with this function, so the domain is all the numbers, the set of real numbers, R:
[tex]\begin{gathered} -\inftyLastly, the range of the function is the complete set of all possible resulting values after aplying the function. We can see that the function can takes, as maximum, a value of 4, then the range is:[tex]\begin{gathered} (\infty;\text{ 4}\rbrack \\ or \\ y\leq4 \end{gathered}[/tex]The rectangular floor of a classroom is 36 feet in length and 30 feet in width. A scale drawing of the floor has a length of 12 inches. What is the area, in square inches, of the floor in the scale drawing?
Answer:
120 square inches
Step-by-step explanation:
L = 36 feet
W = 30 feet
Scale:
l = 12 inches (1 foot)
w = 10 inches because 30/36 = 10/12..
10x12 inches = 120 square inches
6. A grocery store sells bags of oranges in two different sizes.
The 3-pound bags of oranges cost $4.
The 8-pound bags of oranges for $9.
Which oranges cost less per pound? Explain or show your reasoning.
(From Unit 2, Lesson 10.).
what is the volume of the object in cubic centimeters? i think its 20, but i just want to double check to see if im right.
Given,
The measure of edge of the cube is 4 cm.
The total number of cubes are 5.
Required
The volume of the soid.
The volume of the solid is calculated as,
[tex]volume\text{ = side}\times side\times side[/tex]Substituting the values then,
[tex]\begin{gathered} Volume\text{ =4}\times4\times4 \\ =64\text{ cm}^3 \end{gathered}[/tex]The volume of the solid is,
[tex]\begin{gathered} Volume=5\times64 \\ =320\text{ cm}^3 \end{gathered}[/tex]Hence, the volume of the solid is 320 cm^3.
Explain how to undo pemdas with this equation and find answer
Given that Sarah spent half of her weekly allowance.
She earns $4.70 for washing dogs.
The final amount is $ 13.50.
Let x be the weekly allowance.
She spent half of her allowance so she has half of the allowance.
[tex]\frac{x}{2}[/tex]She earns $ 4.70, add this to her half of the allowance.
[tex]\frac{x}{2}+4.70[/tex]This is equal to 13.50.
[tex]\frac{x}{2}+4.70=13.50[/tex]Subtracting 4.70 from both sides, we get
[tex]\frac{x}{2}+4.70-4.70=13.50-4.70[/tex][tex]\frac{x}{2}=8.80[/tex]Multiplying 2 on both sides, we get
[tex]\frac{x}{2}\times2=8.80\times2[/tex][tex]x=17.60[/tex]Hence Sarah's weekly allowance is $ 17.60.
1/6 of a number r decreased by 24 what is the algebraic expression
60 is 24% of what number?
Explanation
Question
60 is 24% of what number?
Let the number be n.
is represent = in mathematics
of represent x
60 is 20% of what number?
60 = 20% x n
[tex]undefined[/tex]Calculate the population growth rate for Brazil:
r = (CBR + Immi) - (CDR + Emigr)
CBR = 2.6%, Immi = 2%, CDR = 2.3%,
Emig = 2%
(Portions of the numeric data are factual.)
0.3% is the population growth rate for Brazil.
How to find the population growth rate?CBR = 2.6%
Immi = 2%
CDR = 2.3%
Emig = 2%
Solution:
r = (CBR + Immi) - (CDR + Emigr)
r = (2.6 + 2) - (2.3 + 2)
r = 4.6 - 4.3
r = 0.3%
0.3% is the population growth rate for Brazil.
To learn more about the population growth rate, refer
https://brainly.com/question/25849702
#SPJ13
Between which steps does Morgan use the subtraction property of equality to justify her work?
Morgan uses the subtraction property of equality in step 5.
What is the subtraction property of equality?The subtraction property of equality describes the balancing of an equation by subtracting the same value on both sides of the equality.
There is also the addition property of equality which states adding the same number to both sides of the equality also balances an equation.
Given Morgan's work Step 1 - 6(x+5) = 25.
Step 2 - 6(x) + 6(5) = 25 . (Distributive property).
Step 3 - 6x + 30 = 25.
Step 4 - 6x + 30 - 30 = 25 - 30 (Subtraction property of equality)
learn more about the subtraction property of equality here :
https://brainly.com/question/9070018
#SPJ1
=MATHEMATICAL READINESSSummation of indexed dataThe following is a list of 14 measurements.38. -82. 19. 84. -37.93.-31, -73, -50.-65.-31. -85, -48Suppose that these 14 measurements are respectively laSum of Xi/ 50 with i going from 1 to 14Round your answer to at least two decimal places.
In order to calculate the sum we need to iterate over the "xi" variable going from 1 to 14 and adding all the data.
[tex]\begin{gathered} \sum ^{\infty}_{n\mathop=1}\frac{x_i}{50}\text{ = }\frac{38\text{ - 82}+19+84-37.93-31-73-50-65-31-85-48}{50} \\ \sum ^{\infty}_{n\mathop{=}1}\frac{x_i}{50}\text{ = }\frac{-361.93}{50}\text{ = -7}.2386 \end{gathered}[/tex]The answer is approximately -7.24.
Which represents the equation 6x+3y= 12 whO y=-2x+4O y = 2x+4Oy=-2x-4O y=2x-4
Given the equation:
6x + 3y = 12
We need to solve for y. Dividing by 3:
2x + y = 4
Subtracting 2x:
y = -2x + 4
First choice
Does this work show that 8 is a solution to the equation s-3=11 and how?
Given -
s - 3 = 11
To Find -
Is s = 8 a solution or not?
Step-by-Step Explanation -
on Putting s = 8 in the above equation
8 - 3 = 11
5 = 11
Which is not true as 5 ≠ 11
Final Answer -
Option (D)
No, Because the last line of the work is not true. 5 and 11 are not equal
going to send u a pic of the q
we have the phrase
fifteen occupant or less
[tex]\begin{gathered} n\leq15 \\ n\ge0 \end{gathered}[/tex]Remember that the occupants can not be negative numbers
so
n=0,1,2,3,.....,15we have
seventy stadiums or more
the algebraic expression is
[tex]n\ge70[/tex]so
n=70,71,72,73,...
option Abecause the number of stadiums must be a whole number be aLet f(-1)=16 and f(5) = -8Write the equation of the line in slope intercept form that passes throughthese two points
Help! Help! 9261 divided by 57
162.4736842 is 9261 divided by 57