The equation for the situation is [tex]5x+6(0.95)=11.95[/tex]
The solution to the equation is [tex]x=1.25[/tex]
First, you must set up the equation.
[tex]5x+6(0.95)=11.95[/tex]
Then, you must simplify the terms.
[tex]5x+5.7=11.95[/tex]
Next, subtract 5.7 on both sides.
[tex]5x=6.25[/tex]
Finally, divide 5 on both sides
[tex]x=1.25[/tex]
The cost of each doughnut is $1.2 and the equation is 5(0.95) + 6x = 11.95 if the total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.
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 total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.The cost of each cookie is $0.95.
The cost of 1 doughnut is x.
Total cost = $11.95
Total cost = 5(0.95) + 6x
11.95 = 5(0.95) + 6x
Or
5(0.95) + 6x = 11.95
After solving
x = $1.2
Thus, the cost of each doughnut is $1.2 and the equation is 5(0.95) + 6x = 11.95 if the total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.
The options are:
6(0.95) + 5x = 11.95
5(0.95) - 6x = 11.95
5(0.95) + 6x = 11.95
5(0.95) + 6(11.95) = x
Learn more about the linear equation here:
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Jeannie has a cell phone plan that charges $60 per month. It includes unlimited calling but
only the first 500 text messages are free, For every extra text message that Jeannie sends,
she must pay $0.15. If Jeannie's bill at the end of a month is $70.80, how many extra text
messages did she send/receive?
Answer:
Jeannie sent/received 572 text messages
Step-by-step explanation:
60$ are payed at the beginning
0.15$ is payed for every extra text.
the total is 70.80$
if t is the number of extra text messages, then
60 + 0.15t = 70.80
subtract 60 from both sides
0.15t = 70.80 - 60
0.15t = 10.80
divide both sides by 0.15
t = 10.80/0.15
t = 72
remember, Jeannie was able to send 500 free texts at the beginning.
so, her total texts would be 572
let me know if I did something wrong!
How do you do this question?
Answer: Convergent; converges to 9/5 = 1.8
======================================================
Explanation:
The expression 8/(n^2-1) is the same as 8/( (n+1)(n-1) )
Use partial fraction decomposition to get
8/( (n+1)(n-1) ) = A/(n+1) + B/(n-1)
8 = (n+1)(n-1)*( A/(n+1) + B/(n-1) )
8 = A(n-1) + B(n+1)
8 = An-A + Bn+B
0n + 8 = (A+B)n + (-A+B)
We can see that
[tex]\begin{cases}A+B = 0\\-A+B = 8\end{cases}[/tex]
Use elimination to get 2B = 8 which leads to B = 4
Plug B = 4 into either equation of that system to solve for A getting A = -4
Therefore,
8/( (n+1)(n-1) ) = A/(n+1) + B/(n-1)
8/( (n+1)(n-1) ) = -4/(n+1) + 4/(n-1)
--------------------------------------------
Why do all this? Because it'll be helpful to set up the telescoping sum
Let's plug in a few values of n. Let's say from n = 5 to n = 10
If we do so, then we have...
-4/(5+1)+4/(5-1) = -4/6 + 4/4
-4/(6+1)+4/(6-1) = -4/7 + 4/5
-4/(7+1)+4/(7-1) = -4/8 + 4/6
-4/(8+1)+4/(8-1) = -4/9 + 4/7
-4/(9+1)+4/(9-1) = -4/10 + 4/8
-4/(10+1)+4/(10-1) = -4/11 + 4/9
I'm not evaluating or simplifying further because we'll have cancellations as shown in the diagram below. The left panel is what you see before cancelling happens, and the right hand panel is what happens after the terms pair up and cancel (since those pairs add to 0).
Note the color coding so you can see what terms pair up and cancel. The only stuff left is the 4/4 and the 4/5
So,
4/4 + 4/5 = 1 + 4/5 = 5/5+4/5 = 9/5 = 1.8
is what the infinite sum converges to. You can use a tool like wolfram alpha to confirm this answer.
P= 2/ + 2w Find The Width
9514 1404 393
Answer:
W = P/2 -L
Step-by-step explanation:
Divide by 2 and subtract L.
P = 2L +2W
P/2 = L +W
P/2 -L = W
The width is ...
W = P/2 -L
help. will give brainly to correct answer. please.
Answer:
Last option; 5/2+ i5/2
if johnny had 6 apples and ava took 3 how many would she have left
Answer: johnny will beat up ava and take his three apples back
Answer:
I'm assuming you mean how many would Johnny have left. If not I am providing both answers. Johnny has 3 apples leftover. Ava has 3 apples, now.
Step-by-step explanation:
Johnny's apples: 6-3 = 3
Ava's apples: 0+3 = 3
What is the rate of change of the function?
O -3. O -1/3. O 1/3. O 3
Answer:
I think it's 1/3
Step-by-step explanation:
because yo can see that in y-1, x=1 then in y0, x=1.3 and it keep going
05.02)One triangle on a graph has a vertical side of 7 and a horizontal side of 12. Another triangle on a graph has a vertical side of 28 and a horizontal side of 48.
Could the hypotenuses of these two triangles lie along the same line?
Yes, because they are similar triangles
Yes, because all triangles can fit along this line
No, because they need to be the same size
No, because they are not similar triangles
Answer:
B
Step-by-step explanation:
7 x 4 = 28
12 x 4 = 48
The higher numbers might be higher on the line but still in the same line :)
Answer:
A
Yes, because they are similar triangles
Step-by-step explanation:
Each angle increases by four
Triangle one is 7 and 12
Triangle two is 28 and 48
7 x 4 = 28
12 x 4 = 48
If a polynomial function f(x) has roots 0, 4, and 3+ V11, what must also be a root of f(x)
Answer:
3-√11 must also be a root of f(x)
Step-by-step explanation:
90% of babies are born with a certain ailment recover fully.
Hello! Your answer to this question is Yes!
Step-by-step explanation:
About 90% of babies born with a certain ailment recover fully. A hospital is caring for sixsix babies born with this ailment. The random variable represents the number of babies that recover fully. Decide whether the experiment is a binomial experiment.
Can someone help me plz
Answer:
Answer 3
Step-by-step explanation:
Answer:
A. 27
Step-by-step explanation:
trust me
A coral reef grows 0.12 minutes every week. How much does it grow in 8 weeks?
Answer:
0.96
Step-by-step explanation:
0.12 x 8 = 0.96
50 PONTIS Score for Question 3: ___ of 5 points) 3. Solve the given inequality and graph the solution on a number line. Show your work! -2x + 3 < 5
Answer:
If x equals -1 or anything less than -1, then the inequality statement is false
Step-by-step explanation:
So to find the number x has to be for the statement to be false, we have to find what number x would be to make it so both sides equal the same thing. So in this case, it would be -1 because 5-3 equals 2 and -2x=2 only if x=-1. So anything greater than -1 would make the statement true.
I hope this helped.
Answer:
x > - 1 or x = (-1, + oo)Step-by-step explanation:
GivenInequality
-2x + 3 < 5To findSolve and graphSolution-2x + 3 < 5-2x < 5 - 3-2x < 2x > - 1x = (-1, + oo)As per above, the graph covers all numbers to the right from the point -1
The graph is attached
Which statement is true?
Answer:
your right
Step-by-step explanation:
Find the value of the variables
PLZZZZZ HELP ME ILL MAKE YOU BRAINLIEST ANSWER PLZZZZZZ THANKYOUUU!!!!!!
Answer:
4) x=110º
5) x=90º (so does y)
6) x=109
7) x=15º and y=5º
8) x=7
9) x=95
10) x=33
Step-by-step explanation:
4), 5) and 6) were a little hard to read but they were mostly simple to solve from what I saw. Using the verticle angles theorem and corresponding theorem you can easily find the values.
7) I plugged in the two first equations to solve x which is (3x+60)=(6x+15)
and for y I had to plug in x to find one of the angles' values to plug in with 15y and then created a second equation which should look like this 105+15y=180º (Since they should be supplementary angles)
8) This one's similar to 7) and even a little simpler. The equation should look like this 4x=3x+7
9) The equation to solve it that I used is x + (x-10)=180º
10) The equation to solve it that I used is (4x+5)=137
Hope this was helpful and (to other people too) if I made any mistakes or didn't explain properly feel free to let me know! :)
There is The Question and answers
Answer: -1/8
Step-by-step explanation:
Andre paid $13 for 3 books. Diego bought 12 books priced at the same rate.
How much did Diego pay for the 12 books?
PLEASE INCLUDE AN EXPLANATION
Answer:
$36
Step-by-step explanation:
i dont know how to explain it but heres the number answer
Answer:
well 3÷13= 4.33 and 4.33×12=52
A coordinate plane with 2 lines. The first line is labeled y equals f(x) and passes through (negative 1, 2), (0, 2), and (2, 2). The second line is labeled y equals g(x) and passes through (negative 0.5, negative 2), points at (0, negative 1), and (1, 1). The lines intersect at (1.5, 2).
Use the graph to determine the input value for which f(x) = g(x) is true.
x = 0.5
x = 1
x = 1.5
x = 2
Answer:
C) x=1.5
Step-by-step explanation:
Hope This Helps!
Answer:
it is c!
Step-by-step explanation:
top one is correct
A restaurant is making hamburgers. The cooks use 2/3 pounds of beef for each hamburger. If the cooks have 46 and 2/3 pounds of beef, how many hamburgers can they make?
Answer:
They can make 49 hamburgers
Step-by-step explanation:
Answer:
They can make 49 hamburgers
Step-by-step explanation:
200m - 100m + 48,250 = 50,250 - 150m
Answer:
Ok sorry but I have a very strong feeling that this isn't a college question because I am in an 8th grader taking Algebra 1 and this is sooooo simple.
Step-by-step explanation:
the answer is
8=m
What are the reasons you would "flip" or reverse the inequality symbol in your answer?
When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side! This is why you must flip the sign whenever you multiply by a negative number.
Using synthetic division, what is the factored form of this polynomial
x^3+3x^2-13x-15
Answer:
D.
Step-by-step explanation:
(x-3)(x+1)(x+5)
The factored form of this polynomial x³ + 3x² - 13x - 15 will be (x - 3), (x + 5) and (x + 1).
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The polynomial is given as,
⇒ x³ + 3x² - 13x - 15
Factorize the polynomial, then we have
⇒ x³ + 3x² - 13x - 15
⇒ x³ - 3x² + 6x² - 18x + 5x - 15
⇒ x²(x - 3) + 6x(x - 3) + 5(x - 3)
⇒ (x - 3)(x² + 6x + 5)
⇒ (x - 3)(x² + 5x + x + 5)
⇒ (x - 3)[x(x + 5) + 1(x + 5)]
⇒ (x - 3)(x + 5)(x + 1)
The factored form of this polynomial x³ + 3x² - 13x - 15 will be (x - 3), (x + 5) and (x + 1).
More about the factorization link is given below.
https://brainly.com/question/6810544
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5 2/3 multiplied by 4 1/2
Answer:
[tex] 25\frac{1}{2} [/tex]
Step-by-step explanation:
[tex]5 \frac{2}{3} \times 4 \frac{1}{2} \\ \\ = \frac{5 \times 3 + 2}{3} \times \frac{4 \times 2 + 1}{2} \\ \\ = \frac{15 + 2}{3} \times \frac{8 + 1}{2} \\ \\ = \frac{17}{3} \times \frac{9}{2} \\ \\ = \frac{17}{1} \times \frac{3}{2} \\ \\ = \frac{51}{2} \\ \\ = 25 \frac{1}{2} [/tex]
818 divided by 34 in standard althriam
4 Nestor works at a garden center where he pots plants. It takes him 2 1··2hours to pot 15 plants. Part A How many plants can Nestor pot in 1 hour? Fill in the blanks to complete the equation and the statement.15 5 Nestor can pot plants in 1 hour. Part B If Nestor continues working at the same rate, how many plants will he be able to pot in 3 1··2hours? Show your work. Answer: plants
Answer:
plants sbbsjdjdhdhhs
The Hindu Arabic Numeral for XCIS ? is 111 or 90 or 91 or 1000?
Answer:
there's no S .X=1 ,Xc=9.So 91
Two sides of a triangle have lengths 5 and 4. Which of the following can NOT be the length
of the third side?
A.1
B.4
C.2
D.3
Answer:
im guessing b.4
Step-by-step explanation:
It is not possible to have a) 1 as one f the third side of the triangle
What is triangle inequality theorem ?
It defines the relationship between the sides `of a triangle .
The triangle inequality theorem states that sum of length of two sides of a triangle is greater than the length of the third side .
a + b > c
correct answer option a) 1
it is not possible to make a triangle if one side is 1 because triangle inequality theorem will be violated
1 + 4 = 5 and not greater than 5
hence , not possible
learn more about triangle inequality theorem
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How do I find x in this equation?
Answer:
Exact Form:
x
=29/20
Decimal Form:
x=1.45
Mixed Number Form:
x=1 9/20
Step-by-step explanation:
I did that before trust me I know
In an auditorium, the front 39 rows with 53 seats in each row are for kids while all 53 seats in each of the remaining 61 rows are for adults. How many seats are there in the auditorium?
Answer:
The auditorium has a total of 5,300 seats
Step-by-step explanation:
The seats for kids can be calculated by multiplying the number of rows by the number of seats per row:
Seats for kids=39*53 =2,067 seats
The seats for adults are calculated in a similar way:
Seats for adults = 61*53= 3,233 seats
Total seats: 2,067+3,233 = 5,300
The auditorium has a total of 5,300 seats
what % is 3% of 5%?
Rephrase: what is 35% of $120?