At the school store, 3 pens and 2 notebooks cost a total of $12, while 1 pen and 3 notebooks cost a total of $11. This can be represented by the system of equations, where x stands for the cost, in dollars, of pens, and y stands for the cost, in dollars, of notebooks.
What is the cost of one notebook?
A.$2.40
B.$2.75
C.$2.00
D.$3.00
Answer:
D
Step-by-step explanation:
the reason why is because if you put 3 dollars in for the notebooks right you have 3x3=9 and that one pen will be 2 dollars. Now you have 3×2=6 and then the two notebooks will be 6 and you add that and get 12. Hope this helps
Answer:
One notebook is $3.00
Step-by-step explanation:
3x + 2y = $12
1x + 3y = $11
Add -3y to the second equation
x = 11 - 3y
Substitute ( 11 - 3y ) for x in 3x + 2y = 12
3 ( 11 - 3y ) + 2y = 12
33 - 9y + 2y = 12
33 - 7y = 12
Add -33 to each side
-7y = -21
Divide each side by -7
y = 3
substitute 3 for y in x = 11 - 3y
x = 11 - 3(3)
x = 11 -9
x = 2
One notebook is $3.00
Question 2
Screenshot
Answer:
I think it's the second one.
please Help Me answer this question
Help Iḿ stuck on this problem
Answer:
774
Step-by-step explanation:
38*15=570
17*12=204
570+204=774
Helpp please find the value of s! I will give brainlist
We have :
s - 39⁰+ s - 9⁰ = s + 29⁰
s + s - s = 29⁰ + 9⁰ + 39⁰
s = 77⁰
Answer: 77⁰
Ok done. Thank to me :>
Describe the transformations necessary to transform the graph of f(x) into that of g(x).
Answer:
Shift 3 units to the right.
Reflect over the x-axis
Please find the value of X!
Answer:
or,180=3x
or,x=180+3
or,x=183 answer
Answer:
54
Step-by-step explanation:
there are 2 ways
(180 - 18) ÷ 3 = 54
(360-18-18) ÷ 6 = 54
same answer
Ken built a square fence around his yard. He planted 4 trees on each side of the fence. What is the least number of trees Ken planted?
A. 4
B. 12
C. 19
D. 20
Answer:
12
Step-by-step explanation:
edge 1045
2. Lawn tickets cost $30 each and seat tickets cost $50
each. The organizers want to make at least $14,000
from ticket sales.
If you know that exactly 200 seat tickets were sold,
what can you say about the number of lawn tickets?
In order to complete the target the person must have to sell 133 lawn tickets and 200 seat tickets.
What are arithmetic operations?The study of numbers and their operations, which are essential to all other branches of mathematics, falls under the umbrella of arithmetic operations. The four fundamental operations in these systems are addition, subtraction, multiplication, and division.
It is given that, tickets for the lawn cost $30 apiece, while those for seats cost $50 each. At least $14,000 is what the organizers want to make from ticket sales.
The amount earned from seat tickets,
=$50 × 200
=10000
The amount needed to complete the target,
=$14,000 - $10,000
=$4,000
If they earned $4,000 by selling lawn tickets. Since lawn tickets were $30, the formula to determine how many were sold is $4000 divided by $30.The number of lawn tickets is obtained as,
=4000/30
=133
Thus, the number of lawn tickets will be 200.
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46.8 divided by 1.2 equals
Answer: 39
Step-by-step explanation: We have to move the decimal one place to the right to make 1.2 a whole number, so 12. You do the same thing to 46.8, so you get 468. Then you divide from there. 12 can go into 46 3 times. 12 x 3 = 36. you subtract to get 10, then bring down your 8, to get a new number of 108. 12 can go into 108 9 times. 12 x 9 = 108. Then you have a remainder of 0. Your product is 39.
whats this v+2=v+4 please help me
Answer:
this should help
Step-by-step explanation:
U dont have to believe me ;-;
Benjamin is four years younger than Kevin Williams for years less than twice Benjamin’s age and William is 22 how old are Kevin and Benjamin
Find the area of the shaded region.
Answer:
[tex] \boxed{ \tt\longrightarrow \: Area \: Of \: Shaded \: region \: =\boxed{ \tt 39 \: in²}}[/tex]
Step-by-step explanation:
Given:
The Dimensions of Parallelogram are 12 in.(Base) and 7 in.(Height)
And,
The Dimensions of Rectangle are 9 in.(Length) and 5 in.(Breadth).
To Find:
The Area of Shaded region
Solution:
When the dimensions of parallelogram and the dimensions of rectangle are given, we need to find the Shaded region using this formula:
[tex] \boxed{\tt \longrightarrow Area = (Parallelogram - Rectangle)}[/tex]
We know that the formula of Parallelogram is base*height[b×h] and the formula of rectangle is length*breadth[l*b] .
[tex] \tt\longrightarrow \: Area =B×h-l×b [/tex]
Put their values accordingly:
[tex]\longrightarrow \tt Area = (12 \times 7 - 9 \times 5)in {}^{2} [/tex]
Simplify it.
[Follow BODMAS Rule strictly while simplifying]
[tex] \tt\longrightarrow \: Area = (84 - 45 ) in {}^{2} [/tex]
[tex] \tt\longrightarrow \: Area = 39 \: {in}^{2} [/tex]
Hence, the Area of Shaded region would be 39 in² or 39 sq. in. .
[tex] \rule{225pt}{2pt}[/tex]
I hope this helps!
Suppose you are dealt 6 cards from a standard 52-card deck. What is the probability that
you are dealt a 4-of-a-kind and a pair?
Answer: Approximately 0.00004597583714
===================================================
Explanation:
Four-of-a-kind is when you get four cards of the same value. One example is if we got four aces. Any four-of-a-kind already has two pairs built into it. I'm assuming your teacher wants four-of-a-kind and another different pair (we'll have 6 pairs all together).
In any suit there are 13 unique cards. So there are 13 choices to fill the first four slots to set up the four-of-a-kind.
-------------
After the four-of-a-kind is formed, we have 13-1 = 12 unique cards left in any given suit. Once that fifth card is chosen, we then have 4 C 2 = 6 ways to select that final card such that we get another pair. I'm using the nCr combination formula since order doesn't matter. The steps to calculating this value (and the other nCr value mentioned later) is shown in the attached image below.
Multiplying those values gets us 13*12*6 = 936 different six card hands such that we get four-of-a-kind and a different pair.
-------------
This is out of 52 C 6 = 20,358,520 different six card hands.
Divide the two values found
936/(20,358,520) = 0.00004597583714
The length of a screw is 0.75 centimeter. How many screws
can be placed end to end to make a row that is
18 centimeters long?
Jennifer Brunner works 40 hours per week as a chef's assistant. At the rate of $7.30 per hour, what are her gross weekly earnings (in %)?
Answer:
292
Step-by-step explanation:
40 x $7.60 = 304
304=
304%
-Hunter
2) Find the total cost (in dollars) of buying:
a) 8 pears at 50 cents each
b) p pears at 50 cents each
c) p pears at y cents each
Answer:
a=4
b=0.5p
c=py
Step-by-step explanation:
a) 8*0.5= 4
b) p*0.5= 0.5p
c) p*y= py
Hope this helps! :)
solve for x!!!!!!!!!!
Answer:
8 10
Step-by-step explanation:
maybe this will help you
Solve the following system of equations using the elimination method. 8x – 5y = 5 –8x – 6y = 6 Question 3 options: A) (0,1) B) (0,–1) C) (2,–3) D) (–2,3)
Answer:
B: x = 0, y = -1
Step-by-step explanation: Hope it Helps!
Answer:
(0,-1)
Step-by-step explanation:
8x – 5y = 5
–8x – 6y = 6
-11y = 11
/-11 /-11
y = -1
8x – 5y = 5
8x - 5(-1) = 5
8x - (-5) = 5
8x + 5 = 5
- 5 - 5
8x = 0
/8 /8
x = 0
8x – 5y = 5
8(0) - 5y = 5
0 - 5y = 5
-5y = 5
/-5 /-5
y = -1
(x,y) ==> (0,-1)
Hope this helps!
Section 8.1 Introduction to the Laplace Transforms
Problem 6.
Prove that if
[tex]f(t)↔ F(s)[/tex]
then
[tex] {t}^{k} f(t)↔ {( - 1)}^{k} {F}^{k} (s).[/tex]
Hint: Assume that it's permissable to the differentiate the integral
[tex]F(s)={∫}^{ \infty } _{0} {e}^{ - st} f(t)dt[/tex]
with respect to s under the integral sign.
Let k = 1, for a start. By definition of the Laplace transform,
[tex]\displaystyle F(s) = \int_0^\infty f(t) e^{-st} \, dt[/tex]
Differentiate both sides with respect to s :
[tex]\displaystyle F'(s) = \frac{d}{ds} \int_0^\infty f(t) e^{-st} \, dt[/tex]
[tex]\displaystyle F'(s) = \int_0^\infty \frac{\partial}{\partial s} \left[f(t) e^{-st}\right] \, dt[/tex]
[tex]\displaystyle F'(s) = \int_0^\infty -t f(t) e^{-st} \, dt[/tex]
so that [tex]t f(t) \leftrightarrow (-1)^1 F^{(1)}(s) = -F'(s)[/tex] is indeed true.
Suppose the claim is true for arbitrary integer k = n, which is to say that [tex]t^n f(t) \leftrightarrow (-1)^n F^{(n)}(s)[/tex]. Then if k = n + 1, we have
[tex]F^{(n+1)}(s) = \dfrac{d}{ds} F^{(n)}(s)[/tex]
Consider the two cases:
• If k = n + 1 is even, then n is odd, so
[tex](-1)^n F^{(n)}(s) = -F^{(n)}(s) \leftrightarrow t^n f(t)[/tex]
and it follows that
[tex]F^{(n+1)}(s) = \displaystyle \frac{d}{ds} \left[-\int_0^\infty t^n f(t) e^{-st} \, dt \right][/tex]
[tex]F^{(n+1)}(s) = \displaystyle -\int_0^\infty \frac{\partial}{\partial s}\left[ t^n f(t) e^{-st} \right] \, dt[/tex]
[tex]F^{(n+1)}(s) = \displaystyle \frac{d}{ds} \left[-\int_0^\infty t^n f(t) e^{-st} \, dt \right][/tex]
[tex]F^{(n+1)}(s) = \displaystyle \int_0^\infty t^{n+1} f(t) e^{-st} \, dt[/tex]
[tex]\implies F^{(n+1)}(s) = (-1)^{n+1} F^{(n+1)}(s) \leftrightarrow t^{n+1}f(t)[/tex]
• Otherwise, if k = n + 1 is odd, then n is even, so
[tex](-1)^n F^{(n)}(s) = F^{(n)}(s) \leftrightarrow t^n f(t)[/tex]
The rest of the proof is the same as the previous case.
So we've proved the claim by induction:
• [tex]t f(t) \leftrightarrow -F(s)[/tex], and
• [tex]\bigg(t^n f(t) \leftrightarrow (-1)^n F^{(n)}(s)\bigg) \implies \bigg(t^{n+1} f(t) \leftrightarrow (-1)^{n+1} F^{(n+1)}(s)\bigg)[/tex]
35 POINTS ALOT!
Describe your strategy to calculate the area of the shaded region. (5 pts)
b. Calculate the area of the shaded region. (5 pts)
Answer:
22.75 m^2
Step-by-step explanation:
Strategy: Find the area of the 2 triangles by finding the height of both of them and using the triangle formula.
Calculation:
(assuming both triangles are congruent)
7*((11-4.5)/2)/2*2
=3.25*7
=22.75
Answer:
22.75m^2
Step-by-step explanation:
A) area of rectangle - two trapezium
B) the way is given in image form and the final answer is= 77- 54.25 = 22.75m^2
This is a question for those of you interested in mathematics or are taking proof classes: when will you know when you are writing too much or too little in a proof? I'm taking a proof class right now, and my professor doesn't do a good job of explaining this to me and just shows/implies the right answer.
I don't think there's a set limit either way. As long as you make sure to discuss all the relevant key ideas and theorems, then you have formed a sufficient proof. Try to be as direct as possible and it doesn't hurt to take shortcuts now and then. Remember to always clearly state what the goal of the proof is, and set up the boundaries needed (eg: x is a nonzero real number). Also, make sure you connect the "given" to the thing to be proved. I've noticed a lot of students forget to do this.
If possible, try to explain the concept to someone outside the class so you can try to get a better handle on the proof. At the same time, you don't want to spend too much time going over the very fine details. Again it's all about balance in my mind.
round 5,565 to the hundreds
Answer:
5,600
Step-by-step explanation:
rounding by the nearest hundred would mean rounding up or down in the hundreds based off of thr tens. If the tens are above 50, you round up. if they are below 50, you round down
Answer:
The hundred place here is the the 2nd 5 to the left.
Rounding is when it’s 5 or above you go up, 4 or below you stay.
So 5565
In this case we look at the tenth place number which is 6 and since it’s 5 or above the hundreths place “5” goes up 1. Everything else below under th place turns 0.
So
5,600
what is the answer to this one 20x+12≥14x+30
x≤3
x≤7
x≥3
x≥7
Answer:
X≥3
Explanation:
20х+12≥14х+30
20Х+12-14Х≥30
20х-14х≥30-12
6Х≥30-12
6х≥18
х≥3
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help me
Answer:
248
Step-by-step explanation:
I'm not completely sure but hope this helps
Answer:
220 cm²
Step-by-step explanation:
area of rectangle:
Length * Width
18 * 11
198 cm²
Triangle area:
1/2 * base * height
1/2 * (18-7)(15-11)
1/2 * 11 * 4
22 cm²
So total area: 198 cm² + 22 cm² = 220 cm²
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
12, 9, 6, ...
Answer: Arithmetic and 3
Step-by-step explanation:
12 - 9 = 3 9 - 6 = 3 The common difference is equal and is three and so it is an arithmetic sequence
12/9 = 4/3 9/6 = 3/2 The ratio is not equal so this is not a geometric sequence
The first triangle is dilated to form the second triangle Select True or Flause
Answer:
Statement 1 is false, statement 2 is true.
Step-by-step explanation:
The triangle has been dialated by a scale factor of 2.5
Real world applications for 1 and 2-step equations
Answer:
pushing p turn me up p yea
What is -45+30-(-60)=?
Answer:
45
Step-by-step explanation:
-45 + 30 gives you -15. When subtractinf a negative number, it actually turning into addition/positive. This changes it into -15 + 60, which is 45.
Answer: 45
Step-by-step explanation:
-45+30-(-60)=
First, times the negative 60 with the negative outside the parenthesis.
-45+30+60
60+30=90
90-45=45
Answer: 45
Allison measured a line to be 19.4 inches long. If the actual length of the line is 19.1
inches, then what was the percent error of the measurement, to the nearest tenth of a
percent?
It can be noted that the percentage error made by Allison will be 1.6%
How to solve the percentageFrom the information given, Allison measured a line to be 19.4 inches long and the actual length of the line is 19.1.
Therefore, the percentage error will be:
= (19.4 - 19.1)/19.1 × 100
= 0.3/19.1 × 100
= 1.6%
In conclusion, the correct option is 1.6%.
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