Answer:
$1500 divided by3=500
500+8=508
Answer:
$360
Step-by-step explanation:
I=PTR =1500X3X8 = 36,000= $360
100 100 100
Mutiple choice (needed 20 characters)
Find the Equation of the lines.
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.
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]
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]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
from a point 12 ft from the base of a building, the angle of elevation from the ground to the top of the building is 70 degrees. Which is the closest to the height of the building
Answer:
c 33ft .....
Step-by-step explanation:
c is correct
The possible height of the building is 33 ft.
What is Angle of Elevation?
The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.
Here, Let the height of the building be x ft
Base = 12ft.
Angle of Elevation = 70⁰
Now, tan α = perp. / base
tan 70⁰ = x/12
2.74 = x/12
x = 12 X 2.75
x = 33
Thus, the possible height of the building is 33 ft.
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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 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
15.00 + 1.75x = 7.50 + 2.25
Which solution for P makes the equation true?
Answer:
8
Step-by-step explanation:
12.50(8) =100 +20 = 120
Answer:
p=8
Step-by-step explanation:
First we have to try all of the options to see if it is right
12.50(8)+20=120
(12.50*8)+20=120
100+20=120
120=120
Yay! The first one was right!
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.
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What is the median of 5,2,9,21,12,3
Answer: 7
Step-by-step explanation:
First order the numbers by least to greatest
2, 3, 5, 9, 12, 21
Then find the number inbetween
In this case it's a tie between 5 and 9.
Find the average of those two numbers
The average is 5+9/2 = 7
Median is 7
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.
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)
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
what is 2 copies of 1/6
A wall 4 ft. high casts a 6 ft. shadow, while a tree casts a 24 ft. shadow How tall is the tree ?
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:
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
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
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%
Is the number 0.1875 rational or irrational
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.
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.
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.
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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
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)
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
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