Answer:
Frx8txutxitxigxtix7fv7t8citcti
Carmena and Alicia go to the supply store to purchase packs of
pens and paper. Carmen bought 5 packs of paper and 3 packs
of pens for $36.60. Alicia bought 6 packd of paper and 6
packs of pens for $53.40. What is the price of one pack of
paper and one pack of pens?
Pens Are 4:95
Paper is 3:95
The prices for both the things are $4.95 and $3.95 respectively.
What is a system of linear equations?A system of linear equations is a group of equations having same number of variables and degree.
For the n number of variables n number of equations are required.
On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.
Given that,
The price for 5 packs of paper and 3 packs of pens is $36.60.
And, for 6 packs of paper and 6 packs of pens is $53.40.
Suppose the price of one paper pack be x and of pens be y.
Then, the given case can be written in terms of equation as,
5x + 3y = 36.60 (1)
6x + 6y = 53.40 (2)
Solve the equations by multiplying equation (1) by 4 and (2) by 2 and then subtracting as follows,
2(6x + 6y) - 4(5x + 3y) = 2 × 53.40 - 4 × 36.60
=> 12x - 20x = 106.80 - 146.40
=> -8x = -39.60
=> x = 4.95
Substitute x = 4.95 in equation (2) to get,
6 × 4.95 + 6y = 53.40
=> 6y = 53.40 - 29.70
=> y = 23.70/6
= 3.95
Hence, the prices of one pack of paper and one pack of pens are $4.95 and $3.95 respectively.
To know more about system of equations click on,
brainly.com/question/24065247
#SPJ2
please I need someone to help my assignment
Answer: x = 10
Step-by-step explanation:
The Pythagorean's theorem says that for a triangle rectangle with catheti A and B, and with hypotenuse H, we have:
A^2 + B^2 = H^2
In this case, we have:
A = (x - 4)
B = (x - 2)
H = x
Then we have the equation:
(x - 4)^2 + (x - 2)^2 = x^2
Now we need to solve this for x, first let's simplify it.
(x^2 - 2*x*4 + 16) + (x^2 - 2*2*x + 4) = x^2
2*x^2 - 12*x + 20 = x^2
2*x^2 - 12*x + 20 - x^2 = 0
x^2 - 12*x + 20 = 0
The solutions of this equation are given by the Bhaskara's equation, such that for an equation like:
a*x^2 + b*x + c = 0
The solutions are:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
Then the solutions for our equation are:
[tex]x = \frac{-(-12) \pm \sqrt{(-12)^2 - 4*1*20} }{2*1} = \frac{12 \pm 8 }{2}[/tex]
Then the two possible solutions are:
x = (12 - 8)/2 = 4/2 = 2
Notice that if x = 2, then the length of the catheti will be:
A = 2 - 4 = -2
B = 2 - 2 = 0
This has no sense, so we can discard this solution.
The other solution for x is:
x = (12 + 8)/2 = 10
x = 10
Then:
H = 10
A = 10 - 4 = 6
B = 10 - 2 = 8
This solution makes sense, then x = 10.
The coordinates for a rectangle are 3,6 3,-6 -7,6 what is the perimeter
Answer:
Perimeter of the rectangle = 44 units
Step-by-step explanation:
Let the coordinates given are the vertices A(-7, 6), B(3, 6), and C(3, -6) of the rectangle.
Since, opposite sides of a rectangle are equal in length,
Fourth vertex of the rectangle will be D(-7, -6)
Length of AB = 3 - (-7) = 10 units
Length of BC = 6 - (-6) = 12 units
Length of CD = 3 - (-7) = 10 units
Length of AD = 6 - (-6) = 12 units
Therefore, perimeter of the rectangle = 2(Length + width)
= 2(12 + 10)
= 44 units
what is 2 copies of 1/6
No need for an explanation it is option
Answer:
152
Step-by-step explanation:
Trick question,
4x + 52 + 28 = 180
Then
You subtract 180 and 28 to get 152
Grocery wants to build a warehouse that is equidistant from its three stores L, M, and N. Which construction correctly finds the best location of the warehouse?
The construction correctly finds the best location of the warehouse is shown in option C (Construction Y because point E is the circumcentre of triangle LMN and due to its exact equidistant location from the three stores at L, M, and N, Point E is the ideal location for the warehouse.)
What is circumcentre?The location that is equally spaced from the three vertices and where the perpendicular bisectors of a triangle's sides intersect.
Calculation for distance of the three stores from warehouse:
Precisely one circle crosses through all three, which are all on the same line. Finding the centre of the circle that goes through all three of the points is equivalent to finding the point that is equally distant from each of the three points (since all points on a circle are equidistant from the centre).
L, M, and N are our points. To create the triangle, draw the lines LM, LN, and MN. The junction of any two of the lines' perpendicular bisectors, point E, will serve as the circle's centre.
Due to the fact that E is the triangle's LMN's circumcenter, as demonstrated in Construction Y.
Therefore, given that it is precisely equidistant between the three stores at L, M, and N, this is the optimal location for the warehouse.
To know more about construction of perpendicular bisector, here
https://brainly.com/question/929137
#SPJ2
Answer:
the answer is C.
Step-by-step explanation:
construction X, because point E is the circumcenter of angle LMN.
what is the best description pf addititon property of equality
Addition Property of Equality
If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal.
HELP WITH QUESTION 1 PLEASE! I’ll give you brilliance
Answer:
Step-by-step explanation:
A is 10
B is 13
C is [tex]\sqrt{43.65}[/tex]
D is [tex]\sqrt{74}[/tex]
Is the number 0.1875 rational or irrational
EFGH is translated 5 units to the left and 2 units up.
y
-1 1 2 3 4 5 6 7 8 x
-1
E4,-1)
-2
FO, -3)
H6, -2)
-3
-4
G(2, 4)
-5
8
-7
A. E(-1,1)
B. E(6,-6)
C. E (-1,-3)
D. E(9,-3)
Understanding Intercepts
What is the x-value of the y-intercept? How do you
know?
Answer:
0
Step-by-step explanation:
The x-value in the y-intercept must be zero. This is because the y-intercept is where a line or function intersects with the y-axis. All points on the y-axis have an x-value of 0. Therefore, all y-intercepts will have an x-value of 0 and look like (0,b).
Answer: x and y intercepts are the points in which your line crossing x axcis and y axcis . For the streight line given by linear function y=ax+b we find coordinates of the point A represent x intercept using value for the second coordinate y=0 then return this value to linear function
0=ax+b subtract b from both sides
-b -b
-b=ax divide by a which id different then 0
-b/a=x
X-itercept is a point A(-b/a, 0)
For y intercept point B (x.y) our first coordinate x=0, return this value to the linear function y=ax+b
y=a*0+b
Y=0+b
y=b
y intercept is a point B(0,b)
For the special types of linear equations:
1. When a=0 liner function is y=b we have parallel lines with x axcise, crosing only y axcise and there are only y intercept B(0,b)
2. When a=0 and b=0 linear function is y=0, which is equation of the x axcise. In this case y intercept is the orgin point O(0,0) and x-intercepts is are all points of the x axcise A(x,0); x can be any real number. This means infinite many x intercept points.
3. When a is not 0 and b=0 we have x intercept point A(0,0) and y intercept point B(0,0).
4. For the linear equation x=c, c is constant value, we have parallel line with y axcise crosing x axcise at the point A(c,0) and there is no y intersect because there are parallel lines
Step-by-step explanation: Example y=2x+6. For x intercept y=0, return to linear function and in the place oy poot its value
0=2x+6 subtract 6
-6 -6
-6=2x divide by 2
-3=x
X intercept points is a point A(-3,0)
For the y intercept point B(x,y) x=0, return to linear function and in the place of x poot its value
y=2x+6
y=2*0+6
y=0+6
y=6
x intercept is a point B(0,6).
19. Sally lives 3 miles due west of Jenny, and Jenny lives 4 miles due north
of Dave. To the nearest mile, how far is it from Sally's house to Dave's
house.
Jenny
O A) 2.65 mi.
O B) 5 mi
O C) 7 mi
D) 25 mi
The distance of from Sally's house to Dave's house is 5 miles. Therefore, option B is the correct answer.
What is the Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Given that, Sally lives 3 miles due west of Jenny, and Jenny lives 4 miles due north of Dave.
Distance is
c²=3²+4²
c²=9+16
c²=25
c=5 miles
The distance of from Sally's house to Dave's house is 5 miles. Therefore, option B is the correct answer.
To learn more about the Pythagoras theorem visit:
brainly.com/question/21926466.
#SPJ2
Bonnie deposits $70.00 into a new savings account.
• The account earns 4.5% simple interest per year.
• No money is added or removed from the savings account for 3 years.
What is the total amount of money in her savings account at the end of the 3 years?
A. $9.45
B. $79.45
C. $94.50
D. $164.50
Answer:
B. $79.45
Step-by-step explanation:
The equation for simple interest is I = PRT, where I = interest earned, P = principal/amount invested, R = rate as a decimal, and T = time in years.
For this example, we'll calculate the interest earned, then add to the principal to get the total amount of money in her account.
I = (70)(0.045)(3)
I = 9.45
70 + 9.45 = $79.45
Please let me know if you have questions.
Mutiple choice (needed 20 characters)
If you were to make $9.00 per hour and worked 36 hours over the past
two weeks
Answer: I think its 324
Step-by-step explanation: $9.00 X 36 = 324
Does the point (4, 1) lie on the line y = 3x + 1 ?
Answer:
no
Step-by-step explanation:
To determine if the point lies on the line, substitute x = 4 into the equation and if the value obtained equals the y- coordinate of the point then it lies on the line.
y = 3(4) + 1 = 12 + 1 = 13 ≠ 1
Thus (4, 1) does not lie on the line
Replace x in the equation with the x value of the point and solve for y. If Y equals the y value of the point then the point lies on the line.
y = 3x + 1
y =3(4) +1 = 12 +1 = 13
y = 13, this does not equal the y value of the point which is 1, so point (4,1) does not lie on the line.
in the sequence: 67, 55, 46, 34, 25,…, what number should come next?
a) 16
b) 13
c) 15
d) 19
Answer:
b) 13
Step-by-step explanation:
67 - 55 = 12
55 - 46 = 9
46 - 34 = 12
34 - 25 = 9
25 - x = 12
rearrange that so,
25 - 12 = x
x = 13
Answer:
b) 13
Step-by-step explanation:
67 - 12 = 55
55 - 9 = 46
46 - 12 = 34
34 - 9 = 25
pattern: subtract 12, subtract 9
the pattern tells us to subtract 12, so take take 25 and subtract 12 from it:
25 - 12 = 13
The original price of a bicycle was $375. Now it is on sale for $295. What percentage of the original price was the markdown?
Answer: $80
Step-by-step explanation:
Answer:
The percentage of the original price that was discounted is 21.33%
Step-by-step explanation:
The original price of a bicycle was $375. Now it is on sale for $295.
The discounted price of a product is calculated as the percentage of discount that you want to apply multiplied by the price of the product. This is the amount of money that is discounted. But to calculate the sale price, the original price of the product must be subtracted minus the discounted quantity.
So, this expressed in this case is:
375-x*375=295
The value of x is the discount that you want to calculate expressed in decimal number. This result will then be multiplied by 100 to obtain the discount expressed as a percentage.
Isolating the value of x you get:
-x*375=295-375
-x*375=-80
x=(-80)÷(-375)
x=0.2133
As a percentage, it is 0.2133*100= 21.33%
The percentage of the original price that was discounted is 21.33%
Function f is defined by the equation f (x) = 10x + 2. What is the value of f (2)?
Answer:
f(2) = 22
Step-by-step explanation:
To find f(#), plug the number into each x of the equation.
f(x) = 10x + 2
f(2) = 10(2) + 2
Simplify the parentheses by multiplying.
f(2) = 20 + 2
Add.
f(2) = 22
Hope this helps!
The cost of highlighters is proportional to the number of highlighters purchased. If a 4
-pack of highlighters costs $2.40 what is the cost per highlighter?
Answer:
The cost per highlighter is $0.60
Step-by-step explanation:
I know this because to find the cost of each highlighter you would divide $2.40 by 4 so the answer would be $0.60.
Please give brainliest I'm trying to level up
Answer:
$0.60
Step-by-step explanation:
$2.40/4= 0.6 = $0.60
We want to find the zeros of this polynomial:
p(3) = (x + 2)(2x - 3)(3-3)
Plot all the zeros (x-intercepts) of the polynomial in the interactive graph
what is the median test score?
a)2.5
b)2
c)3
d)5
Answer: The answer I got was A) 2.5
Step-by-step explanation:
Hope this Helps!!!
Ok first of all fort nite is you know second I did some calculations its not five so the thing I cant find out is what 5.5 rounded is so what ever 5.5 rounded to is your answer so if you find out what 5.5 is rounded to youll have your answer! I hope this helps
Dr James ordered 56 pizzas for the teachers. Of the pizzas ordered, 2/7 of them were pepperoni, 19 were cheese , and the rest were veggie pizzas. How many of the slices were veggie .
Answer:
21
Step-by-step explanation:
Dr James ordered 56 pizzas for the teachers.
Of the pizzas ordered, 2/7 of them were pepperoni,
Number that were pepperoni = 2/7 × 56 pizzas
= 16 pizzas were pepperoni
19 were cheese , and the rest were veggie pizzas.
How many of the slices were veggie?
The number of veggie slices is calculated as:
Veggie slices = Total number of pizzas - ( Number of Pepperoni + Number of Cheese)
= 56 - ( 16 + 19)
= 56 - 35
= 21
The number of veggies is 21
15.00 + 1.75x = 7.50 + 2.25
Here is my question again:
Answer:
[tex] \sqrt[2]{3} [/tex]
[tex] \sqrt[4]{3} [/tex]
Step-by-step explanation:
A garden is in a shape of an equilateral triangle with side 4 ft.
The objective is to find the area of the garden.
The formula to find the area of the triangle is, A= 1/2• b • h
Here, b represents the side of the triangle and h represents and h represents the height of the triangle.
The height of an equilateral triangle can be calculated by,
H = /3/2 • b
= /3/2 • 4
=
[tex] \sqrt[2]{3} [/tex]
Now substitute the value of b and h in the formula of area of triangle.
A = 1/2 • 4 •
[tex] \sqrt[2]{3} [/tex]
=
[tex] \sqrt[4]{3} [/tex]
ft²
Answer:
4 and [tex]2\sqrt{3}[/tex]Step-by-step explanation:
Base of the triangle is:
b = 4Height of the triangle:
h = [tex]\sqrt{4^2 - (4/2)^2}[/tex] = [tex]\sqrt{16 - 4}[/tex] = [tex]\sqrt{12}[/tex] = [tex]2\sqrt{3}[/tex]Area is:
A = 1/2* 4* [tex]2\sqrt{3}[/tex]How far from the Centre of a circle of
radius 3 Sem's a chord
Chord 2.sem
long
Answer:
Step-by-step explanation:
length of semichord=2/1=1 cm
[tex]d=\sqrt{3^2-1^2} =\sqrt{8} =2\sqrt{2}[/tex]
or d≈2.83
A wall 4 ft. high casts a 6 ft. shadow, while a tree casts a 24 ft. shadow How tall is the tree ?
I need help this has been missing for about a month I'll give brain list
Answer: Combination 2,3,4 (going down)
Step-by-step explanation:
These are the equations
1. 3.97(5)+5.25=25.1 this is (10 cents over cant buy)
2. 2.75(7)+2.4(2)= 24.05 (good)
3. 5.25(2)+2.4(6)= 24.9 (good)
4. 3.97(3)+2.75(4)= 22.91 (good)
5. 5.25(2)+2.75(6)= 27 (two dollars over cant buy)
what is the solution to the system of equations below? y=-3x-9 and y=1/3x-39
a. (9, -36)
b. (9,0)
c. (-9, 18)
d. (-9, -42)
Answer:
Step-by-step explanation:
Find the Equation of the lines.