The linear equation to show the total cost is: y = 1.99x + 5.98
How to solve Linear Equation Word problems?The formula for linear equation in slope intercept form is:
y = mx + c
where:
m is slope
c is y-intercept
We are told that Yunika downloaded two applications for $2.99 each to her cell phone. Thus, it is 2 * 2.99 = $5.98.
This will be the y-intercept.
If the cost of other downloads is $1.99, then the equation is:
y = 1.99x + 5.98
Read more about Linear Equations at: https://brainly.com/question/28732353
#SPJ1
Help me out thanks !!!!!!
Answer:
a = 12
Step-by-step explanation:
as C^2 = A^2 + B^2
by Pythagoras theorem
so
A^2 = C^2 - B^2
= 13^2 - 5^2
= 169- 25
144
as 12^2 is equal to 144
hence side a is equal to 12
Answer:
\(h^2 = p^2 + b^2 \\ {13}^{2} = {p }^{2} + {5}^{2} \\ 169 = {p }^{2} + 25 \\ 169 - 25 = {p}^{2} \\ 144 = {p}^{2} \\ \sqrt{144} = p \\ 12 = p \\ p = 12\)
what three number are added together, the result is 665. The first number is 10 more than three times the third number. The first number is also 200 less than twice the second number find the value of the first number.
The value of the first number. is 310.
What is Linear Equatiοn?A linear equatiοn is an algebraic equatiοn in which each term is either a cοnstant οr the prοduct οf a cοnstant and a variable raised tο the first pοwer. It represents a straight line οn a graph and has the fοrm y = mx + b, where m is the slοpe and b is the y-intercept.
Let's call the three numbers x, y, and z.
Frοm the prοblem, we knοw:
x + y + z = 665 (equatiοn 1)
x = 3z + 10 (equatiοn 2)
x = 2y - 200 (equatiοn 3)
We can use equatiοns 2 and 3 tο eliminate x and sοlve fοr y and z.
Substituting equatiοn 2 intο equatiοn 3, we get:
3z + 10 = 2y - 200
2y = 3z + 210
y = (3/2)z + 105
Nοw we can substitute this expressiοn fοr y intο equatiοn 1 and simplify:
x + y + z = 665
x + [(3/2)z + 105] + z = 665
x + (5/2)z = 560
Next, we can substitute equatiοn 2 intο this expressiοn tο eliminate x:
(3z + 10) + (5/2)z = 560
(11/2)z = 550
z = 100
Nοw we can substitute this value οf z intο equatiοn 2 tο find x:
x = 3z + 10 = 3(100) + 10 = 310
Therefοre, the first number is 310.
To learn more about Linear Equation from the given link
https://brainly.com/question/2030026
#SPJ1
Helppp I need the ending numbers ?
The solution is, the simplification of the equation is :
4x^2 - 4 = (2x -2 ) (2x+2)
Here, we have,
given that,
the expression is:
4x^2 - 4
now, we have to simplify this.
we know that ,
The a^2 - b^2 formula is also known as "the difference of squares formula". The a square minus b square is used to find the difference between the two squares without actually calculating the squares.
It is one of the algebraic identities.
It is used to factorize the binomials of squares.
The a^2 - b^2 formula is given as:
a^2 - b^2 = (a - b) (a + b).
so, we have,
4x^2 - 4
= (2x)^2 - 2^2
= (2x -2 ) (2x+2)
Hence, The solution is, the simplification of the equation is :
4x^2 - 4 = (2x -2 ) (2x+2)
To learn more on Equation:
brainly.com/question/10413253
#SPJ1
how do you work the problem 6752-3827 to get the answer
Answer:
you subtract and get 2925
Step-by-step explanation:
Answer:
6752 - 3827 = 2925
Step-by-step explanation:
5 17 12
6752
- 3827
--------------
2925
Joey was looking at the accident rates amongst drivers in different age groups in a particular state. The data looked as follows: Age of driver Probability of accident Proportion of drivers in age group16-20 .08 .1021-65 .02 .6566-99 .01 .25A randomly selected driver has an accident. Calculate the probability this driver was in the age group
The probability that a randomly selected driver who had an accident is in the age group 16-20 is 0.34 or 34%.
Probability is a fundamental concept in mathematics and statistics that is used to measure the likelihood of an event occurring. In this scenario, Joey is interested in calculating the probability that a driver who had an accident is in a particular age group.
We are given the following information:
Probability of accident for drivers in the age group 16-20 = 0.08
Probability of accident for drivers in the age group 21-65 = 0.02
Probability of accident for drivers in the age group 66-99 = 0.01
We are also given the proportion of drivers in each age group:
Proportion of drivers in age group 16-20 = 0.10
Proportion of drivers in age group 21-65 = 0.65
Proportion of drivers in age group 66-99 = 0.25
Let A denote the event that a randomly selected driver had an accident, and let B denote the event that the driver is in a particular age group. Then, Bayes' Theorem states:
P(B|A) = P(A|B)P(B) / P(A)
where P(B|A) is the conditional probability of the driver being in age group B given that they had an accident, P(A|B) is the probability of an accident given that the driver is in age group B, P(B) is the prior probability of the driver being in age group B, and P(A) is the probability of observing an accident.
Using the information given in the problem, we can calculate the probability of an accident occurring:
P(A) = P(A|16-20)P(16-20) + P(A|21-65)P(21-65) + P(A|66-99)P(66-99)
= 0.08 * 0.10 + 0.02 * 0.65 + 0.01 * 0.25
= 0.0235
Similarly, we can calculate the other probabilities:
P(A|16-20) = 0.08
P(A|21-65) = 0.02
P(A|66-99) = 0.01
P(16-20) = 0.10
P(21-65) = 0.65
P(66-99) = 0.25
Substituting these values into Bayes' Theorem, we get:
P(16-20|A) = P(A|16-20)P(16-20) / P(A)
= 0.08 * 0.10 / 0.0235
= 0.34
To know more about probability here.
https://brainly.com/question/11234923
#SPJ4
Determine the slope and y-intercept of each graph. Then, write the equation of the graph in slope-intercept form.
Answer:
-3/2=slope
y-int = (0,1)
Equation= Y=-3/2x+1
Step-by-step explanation:
Help Please
Planning A City
Solve for x.
Show work
Answer:
x=11.34
Step-by-step explanation:
Factorise fully 18j + 30jk
Answer:
6j(5k+3)
Step-by-step explanation:
18j+30jk
Factor out 6.
6(3j+5jk)
Consider 3j+5jk. Factor out j.
j(3+5k)
Rewrite the complete factored expression.
6j(5k+3)
A rancher has 1000 feet of fencing in which to construct adjacent, equally sized rectangular pens. What dimensions should these pens have to maximize the enclosed area?
Answer:
The dimensions that will maximize the enclosed area of the pen is 250 ft by 250 ft
Step-by-step explanation:
we have the perimeter as 1000
So the sum of the lengths will be
1000/2 = 500
The dimensions that will maximize these pens will be such that they will have equal values
Mathematically, that will be 500/2 = 250 by 250
How many gallons of the water are in the filled tank? You must show work with dimensional analysis using the above fact.
From the question, we can deduce the following:
Length = 5.6 meters
Width = 7.3 meters
Height = 4.5 meters
Where:
1 ft = 0.3048 m
1 cubic foot = 7.48 gallons
Let's find the amount of gallons of water in the tank if the tank is filled to 1 foot below the top of the tank.
Let's first sketch the tank.
We have:
Now, let's find the volume of the tank(total amount of water it can carry).
Apply the formula:
\(V=l\times w\times h\)Thus, we have:
\(\begin{gathered} V=5.6\times7.3\times4.5 \\ \\ V=183.96m^3 \end{gathered}\)Now, to find the amount of water presently in the tank since it is filled 1 ft below the top of the tank, we have:
\(\begin{gathered} V=5.6\times7.3\times(4.5-0.3048) \\ \\ V=5.6\times7.3\times4.1952 \\ \\ V=171.5m^3 \end{gathered}\)Therefore, the volume of the water in the tank is 171.5 cubic meters.
Now, let'c convert from cubic meters to gallons.
Where:
1 foot = 0.3048 m
\(1meter=\frac{1}{0.3048}=3.28\text{ feet}\)Thus, we have:
\(\begin{gathered} 1\text{ cubic meter = 3.28}^3=35.29\text{ cubic f}eet \\ \\ 171.5\text{ cubic meters = 171.5 x 35.29 = }6052.235\text{ cubic fe}et \end{gathered}\)Now, to convert from cubic feet to gallons, where:
1 cubci foot = 7.48 gallon
We have:
\(6052.235\times7.48=45273.86\text{ gallons}\)Therefore, there are 45273.86 gallons of water filled in the tank.
Write the scale as a ratio a 4-inch drawing of a soccer field that is 108 yards long A 1in:27yd. B 27ud:1in. C 108yd:4in. D 4in:108yd
Answer:
d
Step-by-step explanation:
4 inches represents every 208 yards in the drawing
what is the answer for 7.42 ÷ 1.75 = ______
Answer:
4.24
Step-by-step explanation:
Answer: 4.24
Step-by-step explanation:
just do 7.42/ 1.75 and ur answer is 4.24
I need help please ??? ASAP???! And what can I write ?? thank you so much!
Answer:
You need to multiple
Step-by-step explanation:
Plz ASAP Which expression is equivalent to -8
A) -2^-3
B) (-1/2)^-3
C) (1/2)^-3
D) 2^-3
Answer:
Option "B" is the correct answer to the following question.
Step-by-step explanation:
\((\frac{-1}{2} )^{-3}\)
-2\times -2\times -2
\((\frac{1}{a} )^{-m}= a^m\)
So,
\((\frac{-1}{2} )^{-3} = (-2)^3\\\\(-2)^3 = -2\times -2\times -2\\\\ -2\times -2\times -2=-8\)
Therefore, Option "B" is the correct answer
if a=1 b =2and c= -3 find the value of a2b2c-2
Hello !
you made a typo with the c^-2 because otherwise it does not make a round result
\(a^{2} *b^{2} *c^{2} \\\\= 1^{2} *2^{2}* (-3)^{2} \\\\= 1*4*9\\\\\boxed{= 36}\)
Rhianna is baking a cake and some cookies for a party. She used cups of flour for the cake. For each tray of cookies, she needs cups of flour. She decides to use at least 15 cups of flour for the cake and the cookies.
Assuming she can make fractional trays of cookies, how many trays, x, can she make? Select the inequality that includes the minimum number of trays of cookies Rhianna can make.
Answer:
x > 15
Step-by-step explanation:
At least means that x will be greater than 15 so it is x > 15.
plz help meeeeeeeeeeeeeee
Answer:
A
Step-by-step explanation:
£5-2 x 0.81=
Answer for school and explanation please. would be great help
Answer:
3.38
Step-by-step explanation:
first do the multiplication
2×0.81
= 1.62
then the subtraction
5- 1.62= 3.38
what value of x is in the solution set of 2(3x–1)>4x–6?
Answer:
x > -2
Step-by-step explanation:
2(3x–1)>4x–6
Divide each side by 2
2/2(3x–1)>4x/2–6/2
3x-1 > 2x-3
Subtract 2x from each side
3x-2x-1 > 2x-3-2x
x-1 > -3
Add 1 to each side
x-1+1 > -3+1
x > -2
Currently it is estimated that 3 out of every 1000 Californians are infected with
coronavirus. The so-called rapid "antigen" test for coronavirus has a very low false
positive.rate of just 0.05, but has a high false negative rate of 0.2.
What is the probability that an antigen test comes back positive?
The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.
We have,
To find the probability that an antigen test comes back positive, we need to consider both the true positive rate (probability of a positive test given that the person is infected) and the false positive rate.
Now,
Prevalence of coronavirus in California: 3 out of 1000
False positive rate of the antigen test: 0.05 (5 out of 100)
Let's calculate the probability of a positive test result.
The true positive rate can be calculated as 1 minus the false negative rate (probability of a negative test given that the person is infected):
True positive rate = 1 - 0.2 = 0.8 (or 80 out of 100)
The probability of a positive test result can be calculated using Bayes' theorem:
P(Positive test) = P(Positive test | Infected) x P(Infected) + P(Positive test | Not Infected) x P(Not Infected)
P(Positive test) = (0.8 x 3/1000) + (0.05 x 997/1000)
P(Positive test) = 0.0024 + 0.04985
P(Positive test) = 0.05225
Therefore,
The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ1
What is the image point of (2,6) after a translation right 5 units and down 3 units?
Answer:
(7, 3)
Step-by-step explanation:
(2+5, 6-3) = (7, 3)
No
0.7
What’s the percentage
Answer: 70%
Step-by-step explanation:
0.7
----- x 100% = 70%
1
Answer:
70%
Step-by-step explanation:
When turning a decimal into a percent always bring the decimal point two places to the right.
0.7.0.
070%
70%
The equation of the line is
Answer:
y = -x +3
Step-by-step explanation:
You want the slope-intercept equation of the line with the same intercept as -3y = -9 +3x, and the same slope as -2x -2y = -8.
Slope-intercept formThe slope-intercept form of the equation of a line is ...
y = mx +b . . . . . where m is the slope, and b is the y-intercept
For the given equations, we can put them in this form to find the desired parameters.
-3y = -9 +3x
y = -x +3 . . . . . . . . . . divide both sides by -3
We observe that the y-intercept is +3, which we will need for our answer.
The slope-intercept form of the second equation is ...
-2x -2y = -8
x + y = 4 . . . . . . . . . . divide by -2
y = -x +4 . . . . . . . . . . subtract x
We observe that the slope (coefficient of x) is -1, which we will need for our answer.
Desired equationWe want the equation of the line with slope -1 and y-intercept 3. It is ...
y = -x +3 . . . . . . . . . . same as the equation of the first line
__
Additional comment
The slope-intercept equation (green) is plotted using dots, so that you can see it is coincident with the line described by the first equation (red). Parallel lines have the same slope, so our desired line must be parallel to the blue line. (It is.)
To plan for retirement, Susan deposits $96 each month in an annuity that pays 7% interest, compounded monthly. Payments will be made at the end of each month. Find the total value of the annuity in 27 years.
Do not round any intermediate computations, and round your final answer to the nearest cent. If necessary, refer to the
list of financial formulas.
Answer:
Step-by-step explanation:
\(p(\frac{(1+i)^n-1}{i})\\i=.07/12=.0058333\\\\n=27*12\\96(\frac{(1+.0058333)^{12*27}-1}{.0058333})= 91882.2085266=91882.21\)
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
The length KL is 8 units
The value of x is undefined
The length KL is 12 units
Calculating the length KLFrom the question, we have the following parameters that can be used in our computation:
The rhombus
Also, we have
DK = 8
A rhombus is a quadrilateral with all sides equal.
So, we have
KL = 8
Calculating the value of xHere, we have
SKAL = 2x - 8
There is no point S on the rhombus
This means that
x = undefined
Calculating the length KLHere, we have
DM = 5y + 2 and DK = 3y + 6
A rhombus is a quadrilateral with all sides equal.
So, we have
5y + 2 = 3y + 6
Evaluate
2y = 4
Divide
y = 2
So, we have
KL = 5 * 2 + 2
KL = 12
Hence, the length KL is 12 units
Read more about rhombus at
https://brainly.com/question/12735921
#SPJ1
HELPP WHATS THE ANSWERRR
Answer:
C
Step-by-step explanation:
X can’t have 2 y’s
100 POINTS HELP Which expression best describes a non-current liability?
A. Long-term
C. Has dramatic fluctuations
B. Short-term
D. Funds day-to-day operations
920 90
Answer:
Step-by-step explanation:
A non-current liability is a debt or obligation that is not due within the next 12 months or the current operating cycle, whichever is longer. Therefore, option A "Long-term" best describes a non-current liability.
Option B "Short-term" describes current liabilities, which are obligations that are due within the next 12 months or the current operating cycle.
Option C "Has dramatic fluctuations" does not necessarily describe a non-current liability. Liabilities can have fluctuations in their balances regardless of whether they are current or non-current.
Option D "Funds day-to-day operations" describes current liabilities or working capital, which are used to finance a company's day-to-day operations.
Answer:
A
Step-by-step explanation:
A non-current liability is a type of liability that is not due for payment within the next 12 months. Therefore, the expression that best describes a non-current liability is A. Long-term.
Option B, Short-term, describes current liabilities, which are due for payment within the next 12 months.
Option C, Has dramatic fluctuations, does not describe a specific type of liability.
Option D, Funds day-to-day operations, describes working capital, which is the amount of money a company has available to fund its day-to-day operations and is not a type of liability.
Therefore, the correct answer is A. Long-term.
The writing with me trying in pencil and the question is find the measure of each angle indicated
I WILL MARK BRAINIEST
Answer:
So a triangle has to be 180° overall And that is an equilateral triangle therefore every angle is equal so every angle inside is 60° so ?=60° another way you can find this out is a straight line is equal to 180° and since you have the external angle which equals 120° you do 180°-120° and get 60° and the 180°-60°-60°=60° and that’s your mystery angle. I hope that’s not too confusing.
True or false: If you are changing a larger unit into a smaller unit, like cm into mm, the decimal is moved to the right because you are multiplying by a power of ten
Answer:true
Step-by-step explanation:
i dont know