PLEASE HELP ME WITH THIS PROBLEM
Drew and Stephen shopped together for school supplies. Drew bought 16 pencils and 8 pens for $20.88. Stephen purchased the same items, but he bought 12 pencils and 4 pens for $13.40.
What was the cost of one pen?
Answer:
Step-by-step explanation:
16x + 8y = 20.88
12x + 4y = 13.40
Solve for x and y
x is the cost of 1 pen
Select from the drop-down menus to correctly complete the proof. To prove that 4π is irrational, assume the product is rational and set it equal to ab, where b is not equal to 0: 4π=ab. Isolating π gives π=a4b. The right side of the equation is Choose.(rational or Irrational).. . Because the left side of the equation is Choose.(rational or irrational).. , this is a contradiction. Therefore, the assumption is wrong, and the number 4π is Choose(rational or Irrational)... .
The product of a rational number and an irrational number is an irrational
number.
The correctly completed proof is presented as follows;
To prove that 4·π is irrational, with the assumption that, 4·π = [tex]\displaystyle \frac{a}{b}[/tex], where b ≠ 0. Which by isolation of π gives π = [tex]\displaystyle \mathbf{ \frac{a}{4 \cdot b}}[/tex].
The right side of the equation is irrational, because the left side of the
equation is irrational, this is a contradiction.
Therefore, the assumption is wrong and the number 4·π is irrational.
Reasons:
The proof is presented as follows;
With the assumption that 4·π is rational, we have;
[tex]\displaystyle 4 \cdot \pi = \mathbf{\frac{a}{b}}[/tex]
Where;
b ≠ 0
Making π the subject of the above formula, by isolating, it, we have;
[tex]\displaystyle \pi = \mathbf{\frac{a}{4 \cdot b}}[/tex]
The right side of the equation is rational, however, the left side of the
equation π is irrational, which results in a contradiction, therefore, the
product 4·π is an irrational number.
Learn more about irrational numbers here:
https://brainly.com/question/1625874
Answer:
irrationalirrationalirrational
please help me, and be nice, don't be a jer.k (you know who you are..)
ty :)
Answer:
y=-1/2x+3
Step-by-step explanation:
Step-by-step explanation:
Subtract x both sides
2y = 6 + (-x)
Divide by 2 both sides
y = 3 + (-1/2x)
y = -1/2x + 3
What's the y-intercept?
Answer:
-9 would be your y-intercept
Step-by-step explanation:
Have a great rest of your day
#Nova
Determine the intercepts of the line.
Answer:
y intercept= 12
x intercept = 4
Step-by-step explanation:
It is just one interception because the equation is linear
A leaking tap wastes 3,750 ml of water in 1 hour how much water will be wasted in a day??
Answer:
90,000
Step-by-step explanation:
3750ml/hr *24 hrs
Therefore, A leaking tap will waste 90000 ml in a day.
Hoped this helped
[tex]BrainiacUser1357[/tex]
Find a quadratic model in standard form for the set of values.
(-2, 18), (0, 4), (4, 24)
4x^2 + 2x - 4
Hope this helps
The number of students in a chess club decreased from 19 to 16. What is the percent decrease? Round your answer to the nearest percent. [The percent decrease is ___%.
Answer:
84.21%
Step-by-step explanation:
When working with percentages, one must cross multiply and divide
first you set up your numbers in fraction form…
[tex]\frac{16}{19} \frac{x}{100}[/tex]
now you multiply the two number you do have (16 and 100)…
[tex]16*100\\ 1600[/tex]
then divide by the other number that is known (19)…
1600÷19≈84.21
hope this helps!
Is -4 a real or imaginary number?
Answer:
Real number
Step-by-step explanation:
Unless it has an i with it then it's an imaginary number but because it doesn't have an i with it it's real
Answer:
real number
Step-by-step explanation:
Hi! -4 is a real number because imaginary numbers are characterized as i= sqrt -1
If you see a number with an i in it, then it is imaginary. In this case, however, we have a real number.
I hope this helps!
Find f(x) and g(x) so that the function can be described as y = f(g(x)). (5 points) y = (2/x^2) + (9)
Answer:
f(x) = x+9
g(x) = 2/x^2
Step-by-step explanation:
I just thought at a simple function for f(x). It could have been just f(x) = x and g(x) = 2/x^2 + 9. Nothing would have changed.
how do you estimate the car
Answer:
The car value is 9100
Step-by-step explanation:
you multiply 3 1/2 times 2600 and you get 9100, which is the value of the car.
hope that helps!
Discuss how to convert 15 in. to yd. (need ko po nganon)
Answer:
To convert 15 inches to yards you need to divide 15 by 36 to get 41.67 yards tep-by-step explanation:
Multiply (x^2+3x+5)(2x^2-2x+1
Answer:
2x^4+4x^3+5x^2-7x+5
Step-by-step explanation:
Consider the graph of the equation y=(x–9)? – 7. Compared the graph of y=x”, how has the vertex been shifted (left/right and/or up/down) and by how many units?
Answer:
Shifted to the right by 9 units, and down by 7 units
Step-by-step explanation:
y=x is the origin.
(x-9) shows that the graph has moved 9 units to the right, as what is inside the parentheses indicates the opposite direction
(you can be able to review why this is from online resources or you can ask your teacher)
the -7 shows that the graph moves 7 units down the graph, it's outside the parentheses, so it follows the same direction
let's sum up:
for this situation,
- what is inside the parentheses is the x
- what is outside the parentheses is the y
- the x-values direction shifts opposite from the sign (+/-)
- the y-values direction shifts like the sign (+/-)
So,
the vertex has been shifted to the right by 9 units, and down by 7 units compared to y=x.
Tell whether the ordered pair is a solution to the system.
(-1, -2) 3x + 5y = 3
-9x - 8y = -9
no
yes
Answer:
no
Step-by-step explanation:
no. substitute -1 for x and -2 for y.
the first one is -1 - 10
this equals -11 not 3
Can someone help me on this question? The question is down below...
Answer:12m
Step-by-step explanation:
Because you are given that this is a right angled triangle, you can apply the pythagoras theorem where a^2 = b^2 + c^2
15^2 = 9^2 + x^2
225-81 = x^2
144 = x^2
x = 12m
PLEASE HELP ASAP !! ALL 4 QUESTIONS IN THE PICTURE !
Answer:
#1= 5
#2= i think it's a red square
#3= 243
Step-by-step explanation:
ok so im rlly sorry but i think i can only solve 1 2 and 3:
for #1:
the pattern is subtracting 1,2,3,4 each time it goes to the next number.
29-28=1
28-26=2
26-23=3
23-19=4
19-?=5
?=14
19-14=5
so answer would be 5
for #2:
the pattern goes red triangle, red square, blue triange, blue square, red triangle, etc.
so with it continuing on, it would be red square
for #3:
the pattern looks like they're multiplying by 3 each time:
3x3=9
9x3=27
27x3=81
81x3=?
?=243
81x3=243
so the answer would be 243
hope this helped :)
divide 3/7 by 1/2 i need answers
Answer:
6/7
Step-by-step explanation:
Does the point (7,7) satisfy the equation y =8x?
Answer:
no
Step-by-step explanation:
y = 8x
Try (7, 7).
Is 7 = 8(7)?
Is 7 = 56?
The answer is no, so the point (7, 7) does not satisfy the equation y = 8x.
Astronomers often measure large distances using astronomical units (AU) where 1 AU is the average distance from Earth to the Sun. In the image, drepresents the distance from a star to the Sun. Using a technique called "stellar parallax," astronomers determined 0 is 0.00001389 degrees.
write an expression to calculate d for any star
By calculating the distance of a star to the Sun, astronomers can calculate the distance from Earth to the star.
[tex]\displaystyle \mathrm{The \ \mathbf{expression} \ to \ calculate \ \mathit{d} \ for \ any \ \mathbf{star} \ is; \ \underline{d \ is \ \frac{1 \, AU}{tan(\theta)}}}[/tex]Reasons
The given parameters are;
The distance from the star to the Sun = d
The angle formed by the ray to the Sun and the ray to Earth from the star, θ = 0.00001389 degrees
The average distance from Earth to the Sun = 1 AU
By trigonometric ratios, we have;
[tex]\displaystyle tan(\theta) = \mathbf{\frac{Opposite}{Adjacent}}[/tex]
Therefore;
[tex]\displaystyle tan(\theta) = \frac{1}{d}[/tex]
The expression to calculate for d for any star is therefore;
[tex]\displaystyle \underline{ d \ is \ \frac{1 \, AU}{tan(\theta) }}[/tex]The angle given for θ for the referenced star is θ = 0.00001389
Therefore;
[tex]\displaystyle d = \frac{1 \, AU}{tan(0.00001389^{\circ}) } \approx 4,124,966.13 \, AU[/tex]
Learn more about trigonometric ratio here:
https://brainly.com/question/14421002
https://brainly.com/question/8514165
:) Help please..........................
Answer:
Both are false
Step-by-step explanation:
When you dilate something by a number >1 it gets larger.
15.
n. F(n)
2. 5
7. 15625
9. 390625
Explicit:
Recursive:
Answer:
400
Step-by-step explanation:
i think
Help me, I'm really tired atm
Step-by-step explanation:
6/15 = 12/30 = 24/60 = 48/75
Answer:
Step-by-step explanation:
PLEASE HELP QUESTION IN PICTURE
Answer:
y=4x+5
Step-by-step explanation:
Find the value of x
6.1 - angles of polygons
Answer:
x = 46°
Step-by-step explanation:
The sum of interior angles = (n-2) × 180°
= (5-2) × 180°
= 540°
2x+3x+3x-4+3x+x-8 = 540°
12x = 552°
x = 46°
Suppose x and y are positive integers that satisfy the following equation: 7xy + 7y - 9x + 10 = 2019 Find the sum of x and y.
A. 15
B. 18
C. 21
D. 34
E. No possible values
The point (-1, 5) is reflected over the y-axis. Where is the location of the new image?
(-1, -5)
(5, 1)
(1, 5)
(1, -5)
Solve the system of equations shown below algebraically.
x+y=1
x^2+y^2=61
Answer: xy1 = (6,-5) and xy2 = (-5,6), pls give brainliest if this solution helped you
Step-by-step explanation:
A scale of a model has a scale of 1:360.
A. The actual length of the football field including the end zones is 120. how long in inches is the football field in the model?
B How many times the length of the model is the length of the actual stadium
Answer:
120 yards,360 feet's of length and 53 1/3 yards,160 feet of width
jay wants to buy a pair of shoes that have a regular price of 95. he found them on sale for 45% off. if the store charges 8% tax, how much did he have to pay for the shoes?